summaryrefslogtreecommitdiffstats
path: root/src/aig
diff options
context:
space:
mode:
Diffstat (limited to 'src/aig')
-rw-r--r--src/aig/aig/aig.h554
-rw-r--r--src/aig/aig/aigCheck.c163
-rw-r--r--src/aig/aig/aigDfs.c700
-rw-r--r--src/aig/aig/aigFanout.c189
-rw-r--r--src/aig/aig/aigMan.c325
-rw-r--r--src/aig/aig/aigMem.c598
-rw-r--r--src/aig/aig/aigMffc.c297
-rw-r--r--src/aig/aig/aigObj.c416
-rw-r--r--src/aig/aig/aigOper.c532
-rw-r--r--src/aig/aig/aigOrder.c171
-rw-r--r--src/aig/aig/aigPart.c992
-rw-r--r--src/aig/aig/aigRepr.c457
-rw-r--r--src/aig/aig/aigRet.c969
-rw-r--r--src/aig/aig/aigScl.c399
-rw-r--r--src/aig/aig/aigSeq.c502
-rw-r--r--src/aig/aig/aigShow.c356
-rw-r--r--src/aig/aig/aigTable.c268
-rw-r--r--src/aig/aig/aigTime.c299
-rw-r--r--src/aig/aig/aigTiming.c351
-rw-r--r--src/aig/aig/aigTruth.c98
-rw-r--r--src/aig/aig/aigTsim.c436
-rw-r--r--src/aig/aig/aigUtil.c851
-rw-r--r--src/aig/aig/aigWin.c184
-rw-r--r--src/aig/aig/aig_.c48
-rw-r--r--src/aig/aig/module.make21
-rw-r--r--src/aig/bar/bar.c177
-rw-r--r--src/aig/bar/bar.h74
-rw-r--r--src/aig/bar/module.make1
-rw-r--r--src/aig/bdc/bdc.h73
-rw-r--r--src/aig/bdc/bdcCore.c189
-rw-r--r--src/aig/bdc/bdcDec.c461
-rw-r--r--src/aig/bdc/bdcInt.h150
-rw-r--r--src/aig/bdc/bdcTable.c140
-rw-r--r--src/aig/bdc/bdc_.c49
-rw-r--r--src/aig/bdc/module.make4
-rw-r--r--src/aig/cnf/cnf.h162
-rw-r--r--src/aig/cnf/cnfCore.c185
-rw-r--r--src/aig/cnf/cnfCut.c371
-rw-r--r--src/aig/cnf/cnfData.c4784
-rw-r--r--src/aig/cnf/cnfMan.c202
-rw-r--r--src/aig/cnf/cnfMap.c356
-rw-r--r--src/aig/cnf/cnfPost.c233
-rw-r--r--src/aig/cnf/cnfUtil.c188
-rw-r--r--src/aig/cnf/cnfWrite.c443
-rw-r--r--src/aig/cnf/cnf_.c48
-rw-r--r--src/aig/cnf/module.make8
-rw-r--r--src/aig/csw/csw.h65
-rw-r--r--src/aig/csw/cswCore.c94
-rw-r--r--src/aig/csw/cswCut.c602
-rw-r--r--src/aig/csw/cswInt.h157
-rw-r--r--src/aig/csw/cswMan.c125
-rw-r--r--src/aig/csw/cswTable.c161
-rw-r--r--src/aig/csw/csw_.c48
-rw-r--r--src/aig/csw/module.make4
-rw-r--r--src/aig/dar/dar.h106
-rw-r--r--src/aig/dar/darBalance.c400
-rw-r--r--src/aig/dar/darCore.c244
-rw-r--r--src/aig/dar/darCut.c698
-rw-r--r--src/aig/dar/darData.c11287
-rw-r--r--src/aig/dar/darInt.h165
-rw-r--r--src/aig/dar/darLib.c980
-rw-r--r--src/aig/dar/darMan.c133
-rw-r--r--src/aig/dar/darPrec.c387
-rw-r--r--src/aig/dar/darRefact.c591
-rw-r--r--src/aig/dar/darResub.c48
-rw-r--r--src/aig/dar/darScript.c393
-rw-r--r--src/aig/dar/dar_.c48
-rw-r--r--src/aig/dar/module.make10
-rw-r--r--src/aig/deco/deco.h703
-rw-r--r--src/aig/deco/module.make1
-rw-r--r--src/aig/fra/fra.h305
-rw-r--r--src/aig/fra/fraBmc.c362
-rw-r--r--src/aig/fra/fraCec.c303
-rw-r--r--src/aig/fra/fraClass.c855
-rw-r--r--src/aig/fra/fraCnf.c284
-rw-r--r--src/aig/fra/fraCore.c433
-rw-r--r--src/aig/fra/fraImp.c721
-rw-r--r--src/aig/fra/fraInd.c478
-rw-r--r--src/aig/fra/fraLcr.c654
-rw-r--r--src/aig/fra/fraMan.c304
-rw-r--r--src/aig/fra/fraPart.c263
-rw-r--r--src/aig/fra/fraSat.c452
-rw-r--r--src/aig/fra/fraSec.c285
-rw-r--r--src/aig/fra/fraSim.c823
-rw-r--r--src/aig/fra/fra_.c48
-rw-r--r--src/aig/fra/module.make12
-rw-r--r--src/aig/hop/cudd2.c355
-rw-r--r--src/aig/hop/cudd2.h82
-rw-r--r--src/aig/hop/hop.h347
-rw-r--r--src/aig/hop/hopBalance.c391
-rw-r--r--src/aig/hop/hopCheck.c110
-rw-r--r--src/aig/hop/hopDfs.c399
-rw-r--r--src/aig/hop/hopMan.c164
-rw-r--r--src/aig/hop/hopMem.c115
-rw-r--r--src/aig/hop/hopObj.c271
-rw-r--r--src/aig/hop/hopOper.c373
-rw-r--r--src/aig/hop/hopTable.c262
-rw-r--r--src/aig/hop/hopUtil.c572
-rw-r--r--src/aig/hop/hop_.c48
-rw-r--r--src/aig/hop/module.make9
-rw-r--r--src/aig/ioa/ioa.h80
-rw-r--r--src/aig/ioa/ioaReadAig.c312
-rw-r--r--src/aig/ioa/ioaUtil.c117
-rw-r--r--src/aig/ioa/ioaWriteAig.c292
-rw-r--r--src/aig/ioa/module.make3
-rw-r--r--src/aig/ivy/attr.h414
-rw-r--r--src/aig/ivy/ivy.h557
-rw-r--r--src/aig/ivy/ivyBalance.c404
-rw-r--r--src/aig/ivy/ivyCanon.c144
-rw-r--r--src/aig/ivy/ivyCheck.c273
-rw-r--r--src/aig/ivy/ivyCut.c989
-rw-r--r--src/aig/ivy/ivyCutTrav.c473
-rw-r--r--src/aig/ivy/ivyDfs.c493
-rw-r--r--src/aig/ivy/ivyDsd.c819
-rw-r--r--src/aig/ivy/ivyFanout.c309
-rw-r--r--src/aig/ivy/ivyFastMap.c1593
-rw-r--r--src/aig/ivy/ivyFraig.c2760
-rw-r--r--src/aig/ivy/ivyHaig.c530
-rw-r--r--src/aig/ivy/ivyMan.c546
-rw-r--r--src/aig/ivy/ivyMem.c116
-rw-r--r--src/aig/ivy/ivyMulti.c301
-rw-r--r--src/aig/ivy/ivyMulti8.c427
-rw-r--r--src/aig/ivy/ivyObj.c476
-rw-r--r--src/aig/ivy/ivyOper.c293
-rw-r--r--src/aig/ivy/ivyResyn.c196
-rw-r--r--src/aig/ivy/ivyRwr.c609
-rw-r--r--src/aig/ivy/ivyRwrAlg.c408
-rw-r--r--src/aig/ivy/ivySeq.c1134
-rw-r--r--src/aig/ivy/ivyShow.c338
-rw-r--r--src/aig/ivy/ivyTable.c301
-rw-r--r--src/aig/ivy/ivyUtil.c818
-rw-r--r--src/aig/ivy/ivy_.c48
-rw-r--r--src/aig/ivy/module.make22
-rw-r--r--src/aig/kit/cloud.c987
-rw-r--r--src/aig/kit/cloud.h269
-rw-r--r--src/aig/kit/kit.h594
-rw-r--r--src/aig/kit/kitAig.c121
-rw-r--r--src/aig/kit/kitBdd.c231
-rw-r--r--src/aig/kit/kitCloud.c368
-rw-r--r--src/aig/kit/kitDsd.c2621
-rw-r--r--src/aig/kit/kitFactor.c339
-rw-r--r--src/aig/kit/kitGraph.c397
-rw-r--r--src/aig/kit/kitHop.c144
-rw-r--r--src/aig/kit/kitIsop.c325
-rw-r--r--src/aig/kit/kitSop.c572
-rw-r--r--src/aig/kit/kitTruth.c1721
-rw-r--r--src/aig/kit/kit_.c48
-rw-r--r--src/aig/kit/module.make10
-rw-r--r--src/aig/mem/mem.c604
-rw-r--r--src/aig/mem/mem.h72
-rw-r--r--src/aig/mem/module.make1
-rw-r--r--src/aig/rwt/module.make3
-rw-r--r--src/aig/rwt/rwt.h156
-rw-r--r--src/aig/rwt/rwtDec.c150
-rw-r--r--src/aig/rwt/rwtMan.c358
-rw-r--r--src/aig/rwt/rwtUtil.c665
156 files changed, 73355 insertions, 0 deletions
diff --git a/src/aig/aig/aig.h b/src/aig/aig/aig.h
new file mode 100644
index 00000000..096e04e7
--- /dev/null
+++ b/src/aig/aig/aig.h
@@ -0,0 +1,554 @@
+/**CFile****************************************************************
+
+ FileName [aig.h]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [AIG package.]
+
+ Synopsis [External declarations.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - April 28, 2007.]
+
+ Revision [$Id: aig.h,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#ifndef __AIG_H__
+#define __AIG_H__
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+////////////////////////////////////////////////////////////////////////
+/// INCLUDES ///
+////////////////////////////////////////////////////////////////////////
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <assert.h>
+#include <time.h>
+
+#include "vec.h"
+
+////////////////////////////////////////////////////////////////////////
+/// PARAMETERS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// BASIC TYPES ///
+////////////////////////////////////////////////////////////////////////
+
+typedef struct Aig_Man_t_ Aig_Man_t;
+typedef struct Aig_Obj_t_ Aig_Obj_t;
+typedef struct Aig_MmFixed_t_ Aig_MmFixed_t;
+typedef struct Aig_MmFlex_t_ Aig_MmFlex_t;
+typedef struct Aig_MmStep_t_ Aig_MmStep_t;
+typedef struct Aig_TMan_t_ Aig_TMan_t;
+
+// object types
+typedef enum {
+ AIG_OBJ_NONE, // 0: non-existent object
+ AIG_OBJ_CONST1, // 1: constant 1
+ AIG_OBJ_PI, // 2: primary input
+ AIG_OBJ_PO, // 3: primary output
+ AIG_OBJ_BUF, // 4: buffer node
+ AIG_OBJ_AND, // 5: AND node
+ AIG_OBJ_EXOR, // 6: EXOR node
+ AIG_OBJ_LATCH, // 7: latch
+ AIG_OBJ_VOID // 8: unused object
+} Aig_Type_t;
+
+// the AIG node
+struct Aig_Obj_t_ // 8 words
+{
+ Aig_Obj_t * pNext; // strashing table
+ Aig_Obj_t * pFanin0; // fanin
+ Aig_Obj_t * pFanin1; // fanin
+ unsigned int Type : 3; // object type
+ unsigned int fPhase : 1; // value under 000...0 pattern
+ unsigned int fMarkA : 1; // multipurpose mask
+ unsigned int fMarkB : 1; // multipurpose mask
+ unsigned int nRefs : 26; // reference count
+ unsigned Level : 24; // the level of this node
+ unsigned nCuts : 8; // the number of cuts
+ int TravId; // unique ID of last traversal involving the node
+ int Id; // unique ID of the node
+ union { // temporary store for user's data
+ void * pData;
+ int iData;
+ float dData;
+ };
+};
+
+// the AIG manager
+struct Aig_Man_t_
+{
+ char * pName; // the design name
+ // AIG nodes
+ Vec_Ptr_t * vPis; // the array of PIs
+ Vec_Ptr_t * vPos; // the array of POs
+ Vec_Ptr_t * vObjs; // the array of all nodes (optional)
+ Vec_Ptr_t * vBufs; // the array of buffers
+ Aig_Obj_t * pConst1; // the constant 1 node
+ Aig_Obj_t Ghost; // the ghost node
+ int nRegs; // the number of registers (registers are last POs)
+ int nAsserts; // the number of asserts among POs (asserts are first POs)
+ // AIG node counters
+ int nObjs[AIG_OBJ_VOID];// the number of objects by type
+ int nCreated; // the number of created objects
+ int nDeleted; // the number of deleted objects
+ // structural hash table
+ Aig_Obj_t ** pTable; // structural hash table
+ int nTableSize; // structural hash table size
+ // representation of fanouts
+ int * pFanData; // the database to store fanout information
+ int nFansAlloc; // the size of fanout representation
+ Vec_Vec_t * vLevels; // used to update timing information
+ int nBufReplaces; // the number of times replacement led to a buffer
+ int nBufFixes; // the number of times buffers were propagated
+ int nBufMax; // the maximum number of buffers during computation
+ // topological order
+ unsigned * pOrderData;
+ int nOrderAlloc;
+ int iPrev;
+ int iNext;
+ int nAndTotal;
+ int nAndPrev;
+ // representatives
+ Aig_Obj_t ** pEquivs; // linked list of equivalent nodes (when choices are used)
+ Aig_Obj_t ** pReprs; // representatives of each node
+ int nReprsAlloc; // the number of allocated representatives
+ // various data members
+ Aig_MmFixed_t * pMemObjs; // memory manager for objects
+ Vec_Int_t * vLevelR; // the reverse level of the nodes
+ int nLevelMax; // maximum number of levels
+ void * pData; // the temporary data
+ int nTravIds; // the current traversal ID
+ int fCatchExor; // enables EXOR nodes
+ int fAddStrash; // performs additional strashing
+ Aig_Obj_t ** pObjCopies; // mapping of AIG nodes into FRAIG nodes
+ void (*pImpFunc) (void*, void*); // implication checking precedure
+ void * pImpData; // implication checking data
+ Aig_TMan_t * pManTime; // the timing manager
+ Vec_Ptr_t * vMapped;
+ Vec_Int_t * vFlopNums;
+ // timing statistics
+ int time1;
+ int time2;
+};
+
+////////////////////////////////////////////////////////////////////////
+/// MACRO DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+#define AIG_MIN(a,b) (((a) < (b))? (a) : (b))
+#define AIG_MAX(a,b) (((a) > (b))? (a) : (b))
+#define AIG_ABS(a) (((a) >= 0)? (a) :-(a))
+#define AIG_INFINITY (100000000)
+
+#ifndef PRT
+#define PRT(a,t) printf("%s = ", (a)); printf("%6.2f sec\n", (float)(t)/(float)(CLOCKS_PER_SEC))
+#endif
+
+static inline int Aig_Base2Log( unsigned n ) { int r; assert( n >= 0 ); if ( n < 2 ) return n; for ( r = 0, n--; n; n >>= 1, r++ ); return r; }
+static inline int Aig_Base10Log( unsigned n ) { int r; assert( n >= 0 ); if ( n < 2 ) return n; for ( r = 0, n--; n; n /= 10, r++ ); return r; }
+static inline char * Aig_UtilStrsav( char * s ) { return s ? strcpy(ALLOC(char, strlen(s)+1), s) : NULL; }
+static inline int Aig_BitWordNum( int nBits ) { return (nBits>>5) + ((nBits&31) > 0); }
+static inline int Aig_TruthWordNum( int nVars ) { return nVars <= 5 ? 1 : (1 << (nVars - 5)); }
+static inline int Aig_InfoHasBit( unsigned * p, int i ) { return (p[(i)>>5] & (1<<((i) & 31))) > 0; }
+static inline void Aig_InfoSetBit( unsigned * p, int i ) { p[(i)>>5] |= (1<<((i) & 31)); }
+static inline void Aig_InfoXorBit( unsigned * p, int i ) { p[(i)>>5] ^= (1<<((i) & 31)); }
+static inline unsigned Aig_InfoMask( int nVar ) { return (~(unsigned)0) >> (32-nVar); }
+static inline unsigned Aig_ObjCutSign( unsigned ObjId ) { return (1 << (ObjId & 31)); }
+static inline int Aig_WordCountOnes( unsigned uWord )
+{
+ uWord = (uWord & 0x55555555) + ((uWord>>1) & 0x55555555);
+ uWord = (uWord & 0x33333333) + ((uWord>>2) & 0x33333333);
+ uWord = (uWord & 0x0F0F0F0F) + ((uWord>>4) & 0x0F0F0F0F);
+ uWord = (uWord & 0x00FF00FF) + ((uWord>>8) & 0x00FF00FF);
+ return (uWord & 0x0000FFFF) + (uWord>>16);
+}
+
+static inline Aig_Obj_t * Aig_Regular( Aig_Obj_t * p ) { return (Aig_Obj_t *)((unsigned long)(p) & ~01); }
+static inline Aig_Obj_t * Aig_Not( Aig_Obj_t * p ) { return (Aig_Obj_t *)((unsigned long)(p) ^ 01); }
+static inline Aig_Obj_t * Aig_NotCond( Aig_Obj_t * p, int c ) { return (Aig_Obj_t *)((unsigned long)(p) ^ (c)); }
+static inline int Aig_IsComplement( Aig_Obj_t * p ) { return (int)((unsigned long)(p) & 01); }
+
+static inline int Aig_ManPiNum( Aig_Man_t * p ) { return p->nObjs[AIG_OBJ_PI]; }
+static inline int Aig_ManPoNum( Aig_Man_t * p ) { return p->nObjs[AIG_OBJ_PO]; }
+static inline int Aig_ManBufNum( Aig_Man_t * p ) { return p->nObjs[AIG_OBJ_BUF]; }
+static inline int Aig_ManAndNum( Aig_Man_t * p ) { return p->nObjs[AIG_OBJ_AND]; }
+static inline int Aig_ManExorNum( Aig_Man_t * p ) { return p->nObjs[AIG_OBJ_EXOR]; }
+static inline int Aig_ManLatchNum( Aig_Man_t * p ) { return p->nObjs[AIG_OBJ_LATCH]; }
+static inline int Aig_ManNodeNum( Aig_Man_t * p ) { return p->nObjs[AIG_OBJ_AND]+p->nObjs[AIG_OBJ_EXOR]; }
+static inline int Aig_ManGetCost( Aig_Man_t * p ) { return p->nObjs[AIG_OBJ_AND]+3*p->nObjs[AIG_OBJ_EXOR]; }
+static inline int Aig_ManObjNum( Aig_Man_t * p ) { return p->nCreated - p->nDeleted; }
+static inline int Aig_ManObjNumMax( Aig_Man_t * p ) { return Vec_PtrSize(p->vObjs); }
+static inline int Aig_ManRegNum( Aig_Man_t * p ) { return p->nRegs; }
+
+static inline Aig_Obj_t * Aig_ManConst0( Aig_Man_t * p ) { return Aig_Not(p->pConst1); }
+static inline Aig_Obj_t * Aig_ManConst1( Aig_Man_t * p ) { return p->pConst1; }
+static inline Aig_Obj_t * Aig_ManGhost( Aig_Man_t * p ) { return &p->Ghost; }
+static inline Aig_Obj_t * Aig_ManPi( Aig_Man_t * p, int i ) { return (Aig_Obj_t *)Vec_PtrEntry(p->vPis, i); }
+static inline Aig_Obj_t * Aig_ManPo( Aig_Man_t * p, int i ) { return (Aig_Obj_t *)Vec_PtrEntry(p->vPos, i); }
+static inline Aig_Obj_t * Aig_ManLo( Aig_Man_t * p, int i ) { return (Aig_Obj_t *)Vec_PtrEntry(p->vPis, Aig_ManPiNum(p)-Aig_ManRegNum(p)+i); }
+static inline Aig_Obj_t * Aig_ManLi( Aig_Man_t * p, int i ) { return (Aig_Obj_t *)Vec_PtrEntry(p->vPos, Aig_ManPoNum(p)-Aig_ManRegNum(p)+i); }
+static inline Aig_Obj_t * Aig_ManObj( Aig_Man_t * p, int i ) { return p->vObjs ? (Aig_Obj_t *)Vec_PtrEntry(p->vObjs, i) : NULL; }
+
+static inline Aig_Type_t Aig_ObjType( Aig_Obj_t * pObj ) { return (Aig_Type_t)pObj->Type; }
+static inline int Aig_ObjIsNone( Aig_Obj_t * pObj ) { return pObj->Type == AIG_OBJ_NONE; }
+static inline int Aig_ObjIsConst1( Aig_Obj_t * pObj ) { assert(!Aig_IsComplement(pObj)); return pObj->Type == AIG_OBJ_CONST1; }
+static inline int Aig_ObjIsPi( Aig_Obj_t * pObj ) { return pObj->Type == AIG_OBJ_PI; }
+static inline int Aig_ObjIsPo( Aig_Obj_t * pObj ) { return pObj->Type == AIG_OBJ_PO; }
+static inline int Aig_ObjIsBuf( Aig_Obj_t * pObj ) { return pObj->Type == AIG_OBJ_BUF; }
+static inline int Aig_ObjIsAnd( Aig_Obj_t * pObj ) { return pObj->Type == AIG_OBJ_AND; }
+static inline int Aig_ObjIsExor( Aig_Obj_t * pObj ) { return pObj->Type == AIG_OBJ_EXOR; }
+static inline int Aig_ObjIsLatch( Aig_Obj_t * pObj ) { return pObj->Type == AIG_OBJ_LATCH; }
+static inline int Aig_ObjIsNode( Aig_Obj_t * pObj ) { return pObj->Type == AIG_OBJ_AND || pObj->Type == AIG_OBJ_EXOR; }
+static inline int Aig_ObjIsTerm( Aig_Obj_t * pObj ) { return pObj->Type == AIG_OBJ_PI || pObj->Type == AIG_OBJ_PO || pObj->Type == AIG_OBJ_CONST1; }
+static inline int Aig_ObjIsHash( Aig_Obj_t * pObj ) { return pObj->Type == AIG_OBJ_AND || pObj->Type == AIG_OBJ_EXOR || pObj->Type == AIG_OBJ_LATCH; }
+static inline int Aig_ObjIsChoice( Aig_Man_t * p, Aig_Obj_t * pObj ) { return p->pEquivs && p->pEquivs[pObj->Id] && pObj->nRefs > 0; }
+
+static inline int Aig_ObjIsMarkA( Aig_Obj_t * pObj ) { return pObj->fMarkA; }
+static inline void Aig_ObjSetMarkA( Aig_Obj_t * pObj ) { pObj->fMarkA = 1; }
+static inline void Aig_ObjClearMarkA( Aig_Obj_t * pObj ) { pObj->fMarkA = 0; }
+
+static inline void Aig_ObjSetTravId( Aig_Obj_t * pObj, int TravId ) { pObj->TravId = TravId; }
+static inline void Aig_ObjSetTravIdCurrent( Aig_Man_t * p, Aig_Obj_t * pObj ) { pObj->TravId = p->nTravIds; }
+static inline void Aig_ObjSetTravIdPrevious( Aig_Man_t * p, Aig_Obj_t * pObj ) { pObj->TravId = p->nTravIds - 1; }
+static inline int Aig_ObjIsTravIdCurrent( Aig_Man_t * p, Aig_Obj_t * pObj ) { return (int)(pObj->TravId == p->nTravIds); }
+static inline int Aig_ObjIsTravIdPrevious( Aig_Man_t * p, Aig_Obj_t * pObj ) { return (int)(pObj->TravId == p->nTravIds - 1); }
+
+static inline int Aig_ObjPhase( Aig_Obj_t * pObj ) { return pObj->fPhase; }
+static inline int Aig_ObjPhaseReal( Aig_Obj_t * pObj ) { return pObj? Aig_Regular(pObj)->fPhase ^ Aig_IsComplement(pObj) : 1; }
+static inline int Aig_ObjRefs( Aig_Obj_t * pObj ) { return pObj->nRefs; }
+static inline void Aig_ObjRef( Aig_Obj_t * pObj ) { pObj->nRefs++; }
+static inline void Aig_ObjDeref( Aig_Obj_t * pObj ) { assert( pObj->nRefs > 0 ); pObj->nRefs--; }
+static inline void Aig_ObjClearRef( Aig_Obj_t * pObj ) { pObj->nRefs = 0; }
+static inline int Aig_ObjFaninId0( Aig_Obj_t * pObj ) { return pObj->pFanin0? Aig_Regular(pObj->pFanin0)->Id : -1; }
+static inline int Aig_ObjFaninId1( Aig_Obj_t * pObj ) { return pObj->pFanin1? Aig_Regular(pObj->pFanin1)->Id : -1; }
+static inline int Aig_ObjFaninC0( Aig_Obj_t * pObj ) { return Aig_IsComplement(pObj->pFanin0); }
+static inline int Aig_ObjFaninC1( Aig_Obj_t * pObj ) { return Aig_IsComplement(pObj->pFanin1); }
+static inline Aig_Obj_t * Aig_ObjFanin0( Aig_Obj_t * pObj ) { return Aig_Regular(pObj->pFanin0); }
+static inline Aig_Obj_t * Aig_ObjFanin1( Aig_Obj_t * pObj ) { return Aig_Regular(pObj->pFanin1); }
+static inline Aig_Obj_t * Aig_ObjChild0( Aig_Obj_t * pObj ) { return pObj->pFanin0; }
+static inline Aig_Obj_t * Aig_ObjChild1( Aig_Obj_t * pObj ) { return pObj->pFanin1; }
+static inline Aig_Obj_t * Aig_ObjChild0Copy( Aig_Obj_t * pObj ) { assert( !Aig_IsComplement(pObj) ); return Aig_ObjFanin0(pObj)? Aig_NotCond((Aig_Obj_t *)Aig_ObjFanin0(pObj)->pData, Aig_ObjFaninC0(pObj)) : NULL; }
+static inline Aig_Obj_t * Aig_ObjChild1Copy( Aig_Obj_t * pObj ) { assert( !Aig_IsComplement(pObj) ); return Aig_ObjFanin1(pObj)? Aig_NotCond((Aig_Obj_t *)Aig_ObjFanin1(pObj)->pData, Aig_ObjFaninC1(pObj)) : NULL; }
+static inline int Aig_ObjLevel( Aig_Obj_t * pObj ) { return pObj->Level; }
+static inline int Aig_ObjLevelNew( Aig_Obj_t * pObj ) { return Aig_ObjFanin1(pObj)? 1 + Aig_ObjIsExor(pObj) + AIG_MAX(Aig_ObjFanin0(pObj)->Level, Aig_ObjFanin1(pObj)->Level) : Aig_ObjFanin0(pObj)->Level; }
+static inline void Aig_ObjClean( Aig_Obj_t * pObj ) { memset( pObj, 0, sizeof(Aig_Obj_t) ); }
+static inline Aig_Obj_t * Aig_ObjFanout0( Aig_Man_t * p, Aig_Obj_t * pObj ) { assert(p->pFanData && pObj->Id < p->nFansAlloc); return Aig_ManObj(p, p->pFanData[5*pObj->Id] >> 1); }
+static inline Aig_Obj_t * Aig_ObjEquiv( Aig_Man_t * p, Aig_Obj_t * pObj ) { return p->pEquivs? p->pEquivs[pObj->Id] : NULL; }
+static inline int Aig_ObjWhatFanin( Aig_Obj_t * pObj, Aig_Obj_t * pFanin )
+{
+ if ( Aig_ObjFanin0(pObj) == pFanin ) return 0;
+ if ( Aig_ObjFanin1(pObj) == pFanin ) return 1;
+ assert(0); return -1;
+}
+static inline int Aig_ObjFanoutC( Aig_Obj_t * pObj, Aig_Obj_t * pFanout )
+{
+ if ( Aig_ObjFanin0(pFanout) == pObj ) return Aig_ObjFaninC0(pObj);
+ if ( Aig_ObjFanin1(pFanout) == pObj ) return Aig_ObjFaninC1(pObj);
+ assert(0); return -1;
+}
+
+// create the ghost of the new node
+static inline Aig_Obj_t * Aig_ObjCreateGhost( Aig_Man_t * p, Aig_Obj_t * p0, Aig_Obj_t * p1, Aig_Type_t Type )
+{
+ Aig_Obj_t * pGhost;
+ assert( Type != AIG_OBJ_AND || !Aig_ObjIsConst1(Aig_Regular(p0)) );
+ assert( p1 == NULL || !Aig_ObjIsConst1(Aig_Regular(p1)) );
+ assert( Type == AIG_OBJ_PI || Aig_Regular(p0) != Aig_Regular(p1) );
+ pGhost = Aig_ManGhost(p);
+ pGhost->Type = Type;
+ if ( p1 == NULL || Aig_Regular(p0)->Id < Aig_Regular(p1)->Id )
+ {
+ pGhost->pFanin0 = p0;
+ pGhost->pFanin1 = p1;
+ }
+ else
+ {
+ pGhost->pFanin0 = p1;
+ pGhost->pFanin1 = p0;
+ }
+ return pGhost;
+}
+
+// internal memory manager
+static inline Aig_Obj_t * Aig_ManFetchMemory( Aig_Man_t * p )
+{
+ extern char * Aig_MmFixedEntryFetch( Aig_MmFixed_t * p );
+ Aig_Obj_t * pTemp;
+ pTemp = (Aig_Obj_t *)Aig_MmFixedEntryFetch( p->pMemObjs );
+ memset( pTemp, 0, sizeof(Aig_Obj_t) );
+ Vec_PtrPush( p->vObjs, pTemp );
+ pTemp->Id = p->nCreated++;
+ return pTemp;
+}
+static inline void Aig_ManRecycleMemory( Aig_Man_t * p, Aig_Obj_t * pEntry )
+{
+ extern void Aig_MmFixedEntryRecycle( Aig_MmFixed_t * p, char * pEntry );
+ assert( pEntry->nRefs == 0 );
+ pEntry->Type = AIG_OBJ_NONE; // distinquishes a dead node from a live node
+ Aig_MmFixedEntryRecycle( p->pMemObjs, (char *)pEntry );
+ p->nDeleted++;
+}
+
+
+////////////////////////////////////////////////////////////////////////
+/// ITERATORS ///
+////////////////////////////////////////////////////////////////////////
+
+// iterator over the primary inputs
+#define Aig_ManForEachPi( p, pObj, i ) \
+ Vec_PtrForEachEntry( p->vPis, pObj, i )
+// iterator over the primary outputs
+#define Aig_ManForEachPo( p, pObj, i ) \
+ Vec_PtrForEachEntry( p->vPos, pObj, i )
+// iterator over the assertions
+#define Aig_ManForEachAssert( p, pObj, i ) \
+ Vec_PtrForEachEntryStart( p->vPos, pObj, i, Aig_ManPoNum(p)-p->nAsserts )
+// iterator over all objects, including those currently not used
+#define Aig_ManForEachObj( p, pObj, i ) \
+ Vec_PtrForEachEntry( p->vObjs, pObj, i ) if ( (pObj) == NULL ) {} else
+// iterator over all nodes
+#define Aig_ManForEachNode( p, pObj, i ) \
+ Vec_PtrForEachEntry( p->vObjs, pObj, i ) if ( (pObj) == NULL || !Aig_ObjIsNode(pObj) ) {} else
+// iterator over the nodes whose IDs are stored in the array
+#define Aig_ManForEachNodeVec( p, vIds, pObj, i ) \
+ for ( i = 0; i < Vec_IntSize(vIds) && ((pObj) = Aig_ManObj(p, Vec_IntEntry(vIds,i))); i++ )
+// iterator over the nodes in the topological order
+#define Aig_ManForEachNodeInOrder( p, pObj ) \
+ for ( assert(p->pOrderData), p->iPrev = 0, p->iNext = p->pOrderData[1]; \
+ p->iNext && (((pObj) = Aig_ManObj(p, p->iNext)), 1); \
+ p->iNext = p->pOrderData[2*p->iPrev+1] )
+
+// these two procedures are only here for the use inside the iterator
+static inline int Aig_ObjFanout0Int( Aig_Man_t * p, int ObjId ) { assert(ObjId < p->nFansAlloc); return p->pFanData[5*ObjId]; }
+static inline int Aig_ObjFanoutNext( Aig_Man_t * p, int iFan ) { assert(iFan/2 < p->nFansAlloc); return p->pFanData[5*(iFan >> 1) + 3 + (iFan & 1)]; }
+// iterator over the fanouts
+#define Aig_ObjForEachFanout( p, pObj, pFanout, iFan, i ) \
+ for ( assert(p->pFanData), i = 0; (i < (int)(pObj)->nRefs) && \
+ (((iFan) = i? Aig_ObjFanoutNext(p, iFan) : Aig_ObjFanout0Int(p, pObj->Id)), 1) && \
+ (((pFanout) = Aig_ManObj(p, iFan>>1)), 1); i++ )
+
+
+////////////////////////////////////////////////////////////////////////
+/// SEQUENTIAL ITERATORS ///
+////////////////////////////////////////////////////////////////////////
+
+// iterator over the primary inputs
+#define Aig_ManForEachPiSeq( p, pObj, i ) \
+ Vec_PtrForEachEntryStop( p->vPis, pObj, i, Aig_ManPiNum(p)-Aig_ManRegNum(p) )
+// iterator over the latch outputs
+#define Aig_ManForEachLoSeq( p, pObj, i ) \
+ Vec_PtrForEachEntryStart( p->vPis, pObj, i, Aig_ManPiNum(p)-Aig_ManRegNum(p) )
+// iterator over the primary outputs
+#define Aig_ManForEachPoSeq( p, pObj, i ) \
+ Vec_PtrForEachEntryStop( p->vPos, pObj, i, Aig_ManPoNum(p)-Aig_ManRegNum(p) )
+// iterator over the latch inputs
+#define Aig_ManForEachLiSeq( p, pObj, i ) \
+ Vec_PtrForEachEntryStart( p->vPos, pObj, i, Aig_ManPoNum(p)-Aig_ManRegNum(p) )
+// iterator over the latch input and outputs
+#define Aig_ManForEachLiLoSeq( p, pObjLi, pObjLo, k ) \
+ for ( k = 0; (k < Aig_ManRegNum(p)) && (((pObjLi) = Aig_ManLi(p, k)), 1) \
+ && (((pObjLo)=Aig_ManLo(p, k)), 1); k++ )
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/*=== aigCheck.c ========================================================*/
+extern int Aig_ManCheck( Aig_Man_t * p );
+extern void Aig_ManCheckMarkA( Aig_Man_t * p );
+extern void Aig_ManCheckPhase( Aig_Man_t * p );
+/*=== aigDfs.c ==========================================================*/
+extern Vec_Ptr_t * Aig_ManDfs( Aig_Man_t * p );
+extern Vec_Ptr_t * Aig_ManDfsNodes( Aig_Man_t * p, Aig_Obj_t ** ppNodes, int nNodes );
+extern Vec_Ptr_t * Aig_ManDfsChoices( Aig_Man_t * p );
+extern Vec_Ptr_t * Aig_ManDfsReverse( Aig_Man_t * p );
+extern int Aig_ManLevelNum( Aig_Man_t * p );
+extern int Aig_ManCountLevels( Aig_Man_t * p );
+extern int Aig_DagSize( Aig_Obj_t * pObj );
+extern int Aig_SupportSize( Aig_Man_t * p, Aig_Obj_t * pObj );
+extern void Aig_ConeUnmark_rec( Aig_Obj_t * pObj );
+extern Aig_Obj_t * Aig_Transfer( Aig_Man_t * pSour, Aig_Man_t * pDest, Aig_Obj_t * pObj, int nVars );
+extern Aig_Obj_t * Aig_Compose( Aig_Man_t * p, Aig_Obj_t * pRoot, Aig_Obj_t * pFunc, int iVar );
+extern void Aig_ObjCollectCut( Aig_Obj_t * pRoot, Vec_Ptr_t * vLeaves, Vec_Ptr_t * vNodes );
+extern int Aig_ObjCollectSuper( Aig_Obj_t * pObj, Vec_Ptr_t * vSuper );
+/*=== aigFanout.c ==========================================================*/
+extern void Aig_ObjAddFanout( Aig_Man_t * p, Aig_Obj_t * pObj, Aig_Obj_t * pFanout );
+extern void Aig_ObjRemoveFanout( Aig_Man_t * p, Aig_Obj_t * pObj, Aig_Obj_t * pFanout );
+extern void Aig_ManFanoutStart( Aig_Man_t * p );
+extern void Aig_ManFanoutStop( Aig_Man_t * p );
+/*=== aigMan.c ==========================================================*/
+extern Aig_Man_t * Aig_ManStart( int nNodesMax );
+extern Aig_Man_t * Aig_ManStartFrom( Aig_Man_t * p );
+extern Aig_Obj_t * Aig_ManDup_rec( Aig_Man_t * pNew, Aig_Man_t * p, Aig_Obj_t * pObj );
+extern Aig_Man_t * Aig_ManDup( Aig_Man_t * p, int fOrdered );
+extern Aig_Man_t * Aig_ManExtractMiter( Aig_Man_t * p, Aig_Obj_t * pNode1, Aig_Obj_t * pNode2 );
+extern void Aig_ManStop( Aig_Man_t * p );
+extern int Aig_ManCleanup( Aig_Man_t * p );
+extern void Aig_ManPrintStats( Aig_Man_t * p );
+/*=== aigMem.c ==========================================================*/
+extern void Aig_ManStartMemory( Aig_Man_t * p );
+extern void Aig_ManStopMemory( Aig_Man_t * p );
+/*=== aigMffc.c ==========================================================*/
+extern int Aig_NodeRef_rec( Aig_Obj_t * pNode, unsigned LevelMin );
+extern int Aig_NodeDeref_rec( Aig_Obj_t * pNode, unsigned LevelMin );
+extern int Aig_NodeMffsSupp( Aig_Man_t * p, Aig_Obj_t * pNode, int LevelMin, Vec_Ptr_t * vSupp );
+extern int Aig_NodeMffsLabel( Aig_Man_t * p, Aig_Obj_t * pNode );
+extern int Aig_NodeMffsLabelCut( Aig_Man_t * p, Aig_Obj_t * pNode, Vec_Ptr_t * vLeaves );
+extern int Aig_NodeMffsExtendCut( Aig_Man_t * p, Aig_Obj_t * pNode, Vec_Ptr_t * vLeaves, Vec_Ptr_t * vResult );
+/*=== aigObj.c ==========================================================*/
+extern Aig_Obj_t * Aig_ObjCreatePi( Aig_Man_t * p );
+extern Aig_Obj_t * Aig_ObjCreatePo( Aig_Man_t * p, Aig_Obj_t * pDriver );
+extern Aig_Obj_t * Aig_ObjCreate( Aig_Man_t * p, Aig_Obj_t * pGhost );
+extern void Aig_ObjConnect( Aig_Man_t * p, Aig_Obj_t * pObj, Aig_Obj_t * pFan0, Aig_Obj_t * pFan1 );
+extern void Aig_ObjDisconnect( Aig_Man_t * p, Aig_Obj_t * pObj );
+extern void Aig_ObjDelete( Aig_Man_t * p, Aig_Obj_t * pObj );
+extern void Aig_ObjDelete_rec( Aig_Man_t * p, Aig_Obj_t * pObj, int fFreeTop );
+extern void Aig_ObjPatchFanin0( Aig_Man_t * p, Aig_Obj_t * pObj, Aig_Obj_t * pFaninNew );
+extern void Aig_ObjReplace( Aig_Man_t * p, Aig_Obj_t * pObjOld, Aig_Obj_t * pObjNew, int fNodesOnly, int fUpdateLevel );
+/*=== aigOper.c =========================================================*/
+extern Aig_Obj_t * Aig_IthVar( Aig_Man_t * p, int i );
+extern Aig_Obj_t * Aig_Oper( Aig_Man_t * p, Aig_Obj_t * p0, Aig_Obj_t * p1, Aig_Type_t Type );
+extern Aig_Obj_t * Aig_And( Aig_Man_t * p, Aig_Obj_t * p0, Aig_Obj_t * p1 );
+extern Aig_Obj_t * Aig_Latch( Aig_Man_t * p, Aig_Obj_t * pObj, int fInitOne );
+extern Aig_Obj_t * Aig_Or( Aig_Man_t * p, Aig_Obj_t * p0, Aig_Obj_t * p1 );
+extern Aig_Obj_t * Aig_Exor( Aig_Man_t * p, Aig_Obj_t * p0, Aig_Obj_t * p1 );
+extern Aig_Obj_t * Aig_Mux( Aig_Man_t * p, Aig_Obj_t * pC, Aig_Obj_t * p1, Aig_Obj_t * p0 );
+extern Aig_Obj_t * Aig_Maj( Aig_Man_t * p, Aig_Obj_t * pA, Aig_Obj_t * pB, Aig_Obj_t * pC );
+extern Aig_Obj_t * Aig_Miter( Aig_Man_t * p, Vec_Ptr_t * vPairs );
+extern Aig_Obj_t * Aig_MiterTwo( Aig_Man_t * p, Vec_Ptr_t * vNodes1, Vec_Ptr_t * vNodes2 );
+extern Aig_Obj_t * Aig_CreateAnd( Aig_Man_t * p, int nVars );
+extern Aig_Obj_t * Aig_CreateOr( Aig_Man_t * p, int nVars );
+extern Aig_Obj_t * Aig_CreateExor( Aig_Man_t * p, int nVars );
+/*=== aigOrder.c =========================================================*/
+extern void Aig_ManOrderStart( Aig_Man_t * p );
+extern void Aig_ManOrderStop( Aig_Man_t * p );
+extern void Aig_ObjOrderInsert( Aig_Man_t * p, int ObjId );
+extern void Aig_ObjOrderRemove( Aig_Man_t * p, int ObjId );
+extern void Aig_ObjOrderAdvance( Aig_Man_t * p );
+/*=== aigPart.c =========================================================*/
+extern Vec_Ptr_t * Aig_ManSupports( Aig_Man_t * pMan );
+extern Vec_Ptr_t * Aig_ManPartitionSmart( Aig_Man_t * p, int nPartSizeLimit, int fVerbose, Vec_Ptr_t ** pvPartSupps );
+extern Vec_Ptr_t * Aig_ManPartitionNaive( Aig_Man_t * p, int nPartSize );
+extern Vec_Ptr_t * Aig_ManMiterPartitioned( Aig_Man_t * p1, Aig_Man_t * p2, int nPartSize );
+extern Aig_Man_t * Aig_ManChoicePartitioned( Vec_Ptr_t * vAigs, int nPartSize, int fVerbose );
+/*=== aigRepr.c =========================================================*/
+extern void Aig_ManReprStart( Aig_Man_t * p, int nIdMax );
+extern void Aig_ManReprStop( Aig_Man_t * p );
+extern void Aig_ObjCreateRepr( Aig_Man_t * p, Aig_Obj_t * pNode1, Aig_Obj_t * pNode2 );
+extern void Aig_ManTransferRepr( Aig_Man_t * pNew, Aig_Man_t * p );
+extern Aig_Man_t * Aig_ManDupRepr( Aig_Man_t * p, int fOrdered );
+extern Aig_Man_t * Aig_ManRehash( Aig_Man_t * p );
+extern void Aig_ManMarkValidChoices( Aig_Man_t * p );
+/*=== aigRet.c ========================================================*/
+extern Aig_Man_t * Rtm_ManRetime( Aig_Man_t * p, int fForward, int nStepsMax, int fVerbose );
+/*=== aigScl.c ==========================================================*/
+extern Aig_Man_t * Aig_ManRemap( Aig_Man_t * p, Vec_Ptr_t * vMap );
+extern int Aig_ManSeqCleanup( Aig_Man_t * p );
+extern int Aig_ManCountMergeRegs( Aig_Man_t * p );
+extern Aig_Man_t * Aig_ManReduceLaches( Aig_Man_t * p, int fVerbose );
+/*=== aigSeq.c ========================================================*/
+extern int Aig_ManSeqStrash( Aig_Man_t * p, int nLatches, int * pInits );
+/*=== aigShow.c ========================================================*/
+extern void Aig_ManShow( Aig_Man_t * pMan, int fHaig, Vec_Ptr_t * vBold );
+/*=== aigTable.c ========================================================*/
+extern Aig_Obj_t * Aig_TableLookup( Aig_Man_t * p, Aig_Obj_t * pGhost );
+extern Aig_Obj_t * Aig_TableLookupTwo( Aig_Man_t * p, Aig_Obj_t * pFanin0, Aig_Obj_t * pFanin1 );
+extern void Aig_TableInsert( Aig_Man_t * p, Aig_Obj_t * pObj );
+extern void Aig_TableDelete( Aig_Man_t * p, Aig_Obj_t * pObj );
+extern int Aig_TableCountEntries( Aig_Man_t * p );
+extern void Aig_TableProfile( Aig_Man_t * p );
+/*=== aigTiming.c ========================================================*/
+extern void Aig_ObjClearReverseLevel( Aig_Man_t * p, Aig_Obj_t * pObj );
+extern int Aig_ObjRequiredLevel( Aig_Man_t * p, Aig_Obj_t * pObj );
+extern void Aig_ManStartReverseLevels( Aig_Man_t * p, int nMaxLevelIncrease );
+extern void Aig_ManStopReverseLevels( Aig_Man_t * p );
+extern void Aig_ManUpdateLevel( Aig_Man_t * p, Aig_Obj_t * pObjNew );
+extern void Aig_ManUpdateReverseLevel( Aig_Man_t * p, Aig_Obj_t * pObjNew );
+extern void Aig_ManVerifyLevel( Aig_Man_t * p );
+extern void Aig_ManVerifyReverseLevel( Aig_Man_t * p );
+/*=== aigTruth.c ========================================================*/
+extern unsigned * Aig_ManCutTruth( Aig_Obj_t * pRoot, Vec_Ptr_t * vLeaves, Vec_Ptr_t * vNodes, Vec_Ptr_t * vTruthElem, Vec_Ptr_t * vTruthStore );
+/*=== aigTsim.c ========================================================*/
+extern Aig_Man_t * Aig_ManConstReduce( Aig_Man_t * p, int fVerbose );
+/*=== aigUtil.c =========================================================*/
+extern unsigned Aig_PrimeCudd( unsigned p );
+extern void Aig_ManIncrementTravId( Aig_Man_t * p );
+extern int Aig_ManLevels( Aig_Man_t * p );
+extern void Aig_ManResetRefs( Aig_Man_t * p );
+extern void Aig_ManCleanMarkA( Aig_Man_t * p );
+extern void Aig_ManCleanMarkB( Aig_Man_t * p );
+extern void Aig_ManCleanData( Aig_Man_t * p );
+extern void Aig_ObjCleanData_rec( Aig_Obj_t * pObj );
+extern void Aig_ObjCollectMulti( Aig_Obj_t * pFunc, Vec_Ptr_t * vSuper );
+extern int Aig_ObjIsMuxType( Aig_Obj_t * pObj );
+extern int Aig_ObjRecognizeExor( Aig_Obj_t * pObj, Aig_Obj_t ** ppFan0, Aig_Obj_t ** ppFan1 );
+extern Aig_Obj_t * Aig_ObjRecognizeMux( Aig_Obj_t * pObj, Aig_Obj_t ** ppObjT, Aig_Obj_t ** ppObjE );
+extern Aig_Obj_t * Aig_ObjReal_rec( Aig_Obj_t * pObj );
+extern void Aig_ObjPrintEqn( FILE * pFile, Aig_Obj_t * pObj, Vec_Vec_t * vLevels, int Level );
+extern void Aig_ObjPrintVerilog( FILE * pFile, Aig_Obj_t * pObj, Vec_Vec_t * vLevels, int Level );
+extern void Aig_ObjPrintVerbose( Aig_Obj_t * pObj, int fHaig );
+extern void Aig_ManPrintVerbose( Aig_Man_t * p, int fHaig );
+extern void Aig_ManDump( Aig_Man_t * p );
+extern void Aig_ManDumpBlif( Aig_Man_t * p, char * pFileName );
+extern void Aig_ManDumpVerilog( Aig_Man_t * p, char * pFileName );
+/*=== aigWin.c =========================================================*/
+extern void Aig_ManFindCut( Aig_Obj_t * pRoot, Vec_Ptr_t * vFront, Vec_Ptr_t * vVisited, int nSizeLimit, int nFanoutLimit );
+
+/*=== aigMem.c ===========================================================*/
+// fixed-size-block memory manager
+extern Aig_MmFixed_t * Aig_MmFixedStart( int nEntrySize, int nEntriesMax );
+extern void Aig_MmFixedStop( Aig_MmFixed_t * p, int fVerbose );
+extern char * Aig_MmFixedEntryFetch( Aig_MmFixed_t * p );
+extern void Aig_MmFixedEntryRecycle( Aig_MmFixed_t * p, char * pEntry );
+extern void Aig_MmFixedRestart( Aig_MmFixed_t * p );
+extern int Aig_MmFixedReadMemUsage( Aig_MmFixed_t * p );
+extern int Aig_MmFixedReadMaxEntriesUsed( Aig_MmFixed_t * p );
+// flexible-size-block memory manager
+extern Aig_MmFlex_t * Aig_MmFlexStart();
+extern void Aig_MmFlexStop( Aig_MmFlex_t * p, int fVerbose );
+extern char * Aig_MmFlexEntryFetch( Aig_MmFlex_t * p, int nBytes );
+extern void Aig_MmFlexRestart( Aig_MmFlex_t * p );
+extern int Aig_MmFlexReadMemUsage( Aig_MmFlex_t * p );
+// hierarchical memory manager
+extern Aig_MmStep_t * Aig_MmStepStart( int nSteps );
+extern void Aig_MmStepStop( Aig_MmStep_t * p, int fVerbose );
+extern char * Aig_MmStepEntryFetch( Aig_MmStep_t * p, int nBytes );
+extern void Aig_MmStepEntryRecycle( Aig_MmStep_t * p, char * pEntry, int nBytes );
+extern int Aig_MmStepReadMemUsage( Aig_MmStep_t * p );
+
+/*=== aigTime.c ===========================================================*/
+extern Aig_TMan_t * Aig_TManStart( int nPis, int nPos );
+extern void Aig_TManStop( Aig_TMan_t * p );
+extern void Aig_TManCreateBox( Aig_TMan_t * p, int * pPis, int nPis, int * pPos, int nPos, float * pPiTimes, float * pPoTimes );
+extern void Aig_TManSetPiDelay( Aig_TMan_t * p, int iPi, float Delay );
+extern void Aig_TManSetPoDelay( Aig_TMan_t * p, int iPo, float Delay );
+extern void Aig_TManSetPiArrival( Aig_TMan_t * p, int iPi, float Delay );
+extern void Aig_TManSetPoRequired( Aig_TMan_t * p, int iPo, float Delay );
+extern void Aig_TManIncrementTravId( Aig_TMan_t * p );
+extern float Aig_TManGetPiArrival( Aig_TMan_t * p, int iPi );
+extern float Aig_TManGetPoRequired( Aig_TMan_t * p, int iPo );
+
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
diff --git a/src/aig/aig/aigCheck.c b/src/aig/aig/aigCheck.c
new file mode 100644
index 00000000..8c53e635
--- /dev/null
+++ b/src/aig/aig/aigCheck.c
@@ -0,0 +1,163 @@
+/**CFile****************************************************************
+
+ FileName [aigCheck.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [AIG package.]
+
+ Synopsis [AIG checking procedures.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - April 28, 2007.]
+
+ Revision [$Id: aigCheck.c,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "aig.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Checks the consistency of the AIG manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Aig_ManCheck( Aig_Man_t * p )
+{
+ Aig_Obj_t * pObj, * pObj2;
+ int i;
+ // check primary inputs
+ Aig_ManForEachPi( p, pObj, i )
+ {
+ if ( Aig_ObjFanin0(pObj) || Aig_ObjFanin1(pObj) )
+ {
+ printf( "Aig_ManCheck: The PI node \"%p\" has fanins.\n", pObj );
+ return 0;
+ }
+ }
+ // check primary outputs
+ Aig_ManForEachPo( p, pObj, i )
+ {
+ if ( !Aig_ObjFanin0(pObj) )
+ {
+ printf( "Aig_ManCheck: The PO node \"%p\" has NULL fanin.\n", pObj );
+ return 0;
+ }
+ if ( Aig_ObjFanin1(pObj) )
+ {
+ printf( "Aig_ManCheck: The PO node \"%p\" has second fanin.\n", pObj );
+ return 0;
+ }
+ }
+ // check internal nodes
+ Aig_ManForEachObj( p, pObj, i )
+ {
+ if ( !Aig_ObjIsNode(pObj) )
+ continue;
+ if ( !Aig_ObjFanin0(pObj) || !Aig_ObjFanin1(pObj) )
+ {
+ printf( "Aig_ManCheck: The AIG has internal node \"%p\" with a NULL fanin.\n", pObj );
+ return 0;
+ }
+ if ( Aig_ObjFanin0(pObj)->Id >= Aig_ObjFanin1(pObj)->Id )
+ {
+ printf( "Aig_ManCheck: The AIG has node \"%p\" with a wrong ordering of fanins.\n", pObj );
+ return 0;
+ }
+ pObj2 = Aig_TableLookup( p, pObj );
+ if ( pObj2 != pObj )
+ {
+ printf( "Aig_ManCheck: Node \"%p\" is not in the structural hashing table.\n", pObj );
+ return 0;
+ }
+ }
+ // count the total number of nodes
+ if ( Aig_ManObjNum(p) != 1 + Aig_ManPiNum(p) + Aig_ManPoNum(p) +
+ Aig_ManBufNum(p) + Aig_ManAndNum(p) + Aig_ManExorNum(p) + Aig_ManLatchNum(p) )
+ {
+ printf( "Aig_ManCheck: The number of created nodes is wrong.\n" );
+ printf( "C1 = %d. Pi = %d. Po = %d. Buf = %d. And = %d. Xor = %d. Lat = %d. Total = %d.\n",
+ 1, Aig_ManPiNum(p), Aig_ManPoNum(p), Aig_ManBufNum(p), Aig_ManAndNum(p), Aig_ManExorNum(p), Aig_ManLatchNum(p),
+ 1 + Aig_ManPiNum(p) + Aig_ManPoNum(p) + Aig_ManBufNum(p) + Aig_ManAndNum(p) + Aig_ManExorNum(p) + Aig_ManLatchNum(p) );
+ printf( "Created = %d. Deleted = %d. Existing = %d.\n",
+ p->nCreated, p->nDeleted, p->nCreated - p->nDeleted );
+ return 0;
+ }
+ // count the number of nodes in the table
+ if ( Aig_TableCountEntries(p) != Aig_ManAndNum(p) + Aig_ManExorNum(p) + Aig_ManLatchNum(p) )
+ {
+ printf( "Aig_ManCheck: The number of nodes in the structural hashing table is wrong.\n" );
+ printf( "Entries = %d. And = %d. Xor = %d. Lat = %d. Total = %d.\n",
+ Aig_TableCountEntries(p), Aig_ManAndNum(p), Aig_ManExorNum(p), Aig_ManLatchNum(p),
+ Aig_ManAndNum(p) + Aig_ManExorNum(p) + Aig_ManLatchNum(p) );
+
+ return 0;
+ }
+// if ( !Aig_ManIsAcyclic(p) )
+// return 0;
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Checks if the markA is reset.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ManCheckMarkA( Aig_Man_t * p )
+{
+ Aig_Obj_t * pObj;
+ int i;
+ Aig_ManForEachObj( p, pObj, i )
+ assert( pObj->fMarkA == 0 );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Checks the consistency of phase assignment.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ManCheckPhase( Aig_Man_t * p )
+{
+ Aig_Obj_t * pObj;
+ int i;
+ Aig_ManForEachObj( p, pObj, i )
+ if ( Aig_ObjIsPi(pObj) )
+ assert( (int)pObj->fPhase == 0 );
+ else
+ assert( (int)pObj->fPhase == (Aig_ObjPhaseReal(Aig_ObjChild0(pObj)) & Aig_ObjPhaseReal(Aig_ObjChild1(pObj))) );
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/aig/aigDfs.c b/src/aig/aig/aigDfs.c
new file mode 100644
index 00000000..dedfeb4a
--- /dev/null
+++ b/src/aig/aig/aigDfs.c
@@ -0,0 +1,700 @@
+/**CFile****************************************************************
+
+ FileName [aigDfs.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [AIG package.]
+
+ Synopsis [DFS traversal procedures.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - April 28, 2007.]
+
+ Revision [$Id: aigDfs.c,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "aig.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Collects internal nodes in the DFS order.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ManDfs_rec( Aig_Man_t * p, Aig_Obj_t * pObj, Vec_Ptr_t * vNodes )
+{
+ if ( pObj == NULL )
+ return;
+ assert( !Aig_IsComplement(pObj) );
+ if ( Aig_ObjIsTravIdCurrent(p, pObj) )
+ return;
+ assert( Aig_ObjIsNode(pObj) || Aig_ObjIsBuf(pObj) );
+ Aig_ManDfs_rec( p, Aig_ObjFanin0(pObj), vNodes );
+ Aig_ManDfs_rec( p, Aig_ObjFanin1(pObj), vNodes );
+ assert( !Aig_ObjIsTravIdCurrent(p, pObj) ); // loop detection
+ Aig_ObjSetTravIdCurrent(p, pObj);
+ Vec_PtrPush( vNodes, pObj );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Collects internal nodes in the DFS order.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Vec_Ptr_t * Aig_ManDfs( Aig_Man_t * p )
+{
+ Vec_Ptr_t * vNodes;
+ Aig_Obj_t * pObj;
+ int i;
+ Aig_ManIncrementTravId( p );
+ // mark constant and PIs
+ Aig_ObjSetTravIdCurrent( p, Aig_ManConst1(p) );
+ Aig_ManForEachPi( p, pObj, i )
+ Aig_ObjSetTravIdCurrent( p, pObj );
+ // if there are latches, mark them
+ if ( Aig_ManLatchNum(p) > 0 )
+ Aig_ManForEachObj( p, pObj, i )
+ if ( Aig_ObjIsLatch(pObj) )
+ Aig_ObjSetTravIdCurrent( p, pObj );
+ // go through the nodes
+ vNodes = Vec_PtrAlloc( Aig_ManNodeNum(p) );
+ Aig_ManForEachObj( p, pObj, i )
+ if ( Aig_ObjIsNode(pObj) || Aig_ObjIsBuf(pObj) )
+ Aig_ManDfs_rec( p, pObj, vNodes );
+ return vNodes;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Collects internal nodes in the DFS order.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Vec_Ptr_t * Aig_ManDfsNodes( Aig_Man_t * p, Aig_Obj_t ** ppNodes, int nNodes )
+{
+ Vec_Ptr_t * vNodes;
+ Aig_Obj_t * pObj;
+ int i;
+ assert( Aig_ManLatchNum(p) == 0 );
+ Aig_ManIncrementTravId( p );
+ // mark constant and PIs
+ Aig_ObjSetTravIdCurrent( p, Aig_ManConst1(p) );
+ Aig_ManForEachPi( p, pObj, i )
+ Aig_ObjSetTravIdCurrent( p, pObj );
+ // go through the nodes
+ vNodes = Vec_PtrAlloc( Aig_ManNodeNum(p) );
+ for ( i = 0; i < nNodes; i++ )
+ Aig_ManDfs_rec( p, ppNodes[i], vNodes );
+ return vNodes;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Collects internal nodes in the DFS order.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ManDfsChoices_rec( Aig_Man_t * p, Aig_Obj_t * pObj, Vec_Ptr_t * vNodes )
+{
+ if ( pObj == NULL )
+ return;
+ assert( !Aig_IsComplement(pObj) );
+ if ( Aig_ObjIsTravIdCurrent(p, pObj) )
+ return;
+ assert( Aig_ObjIsNode(pObj) );
+ Aig_ManDfsChoices_rec( p, Aig_ObjFanin0(pObj), vNodes );
+ Aig_ManDfsChoices_rec( p, Aig_ObjFanin1(pObj), vNodes );
+ Aig_ManDfsChoices_rec( p, p->pEquivs[pObj->Id], vNodes );
+ assert( !Aig_ObjIsTravIdCurrent(p, pObj) ); // loop detection
+ Aig_ObjSetTravIdCurrent(p, pObj);
+ Vec_PtrPush( vNodes, pObj );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Collects internal nodes in the DFS order.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Vec_Ptr_t * Aig_ManDfsChoices( Aig_Man_t * p )
+{
+ Vec_Ptr_t * vNodes;
+ Aig_Obj_t * pObj;
+ int i;
+ assert( p->pEquivs != NULL );
+ Aig_ManIncrementTravId( p );
+ // mark constant and PIs
+ Aig_ObjSetTravIdCurrent( p, Aig_ManConst1(p) );
+ Aig_ManForEachPi( p, pObj, i )
+ Aig_ObjSetTravIdCurrent( p, pObj );
+ // go through the nodes
+ vNodes = Vec_PtrAlloc( Aig_ManNodeNum(p) );
+ Aig_ManForEachPo( p, pObj, i )
+ Aig_ManDfsChoices_rec( p, Aig_ObjFanin0(pObj), vNodes );
+ return vNodes;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Collects internal nodes in the reverse DFS order.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ManDfsReverse_rec( Aig_Man_t * p, Aig_Obj_t * pObj, Vec_Ptr_t * vNodes )
+{
+ Aig_Obj_t * pFanout;
+ int iFanout = -1, i;
+ assert( !Aig_IsComplement(pObj) );
+ if ( Aig_ObjIsTravIdCurrent(p, pObj) )
+ return;
+ assert( Aig_ObjIsNode(pObj) || Aig_ObjIsBuf(pObj) );
+ Aig_ObjForEachFanout( p, pObj, pFanout, iFanout, i )
+ Aig_ManDfsReverse_rec( p, pFanout, vNodes );
+ assert( !Aig_ObjIsTravIdCurrent(p, pObj) ); // loop detection
+ Aig_ObjSetTravIdCurrent(p, pObj);
+ Vec_PtrPush( vNodes, pObj );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Collects internal nodes in the reverse DFS order.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Vec_Ptr_t * Aig_ManDfsReverse( Aig_Man_t * p )
+{
+ Vec_Ptr_t * vNodes;
+ Aig_Obj_t * pObj;
+ int i;
+ Aig_ManIncrementTravId( p );
+ // mark POs
+ Aig_ManForEachPo( p, pObj, i )
+ Aig_ObjSetTravIdCurrent( p, pObj );
+ // if there are latches, mark them
+ if ( Aig_ManLatchNum(p) > 0 )
+ Aig_ManForEachObj( p, pObj, i )
+ if ( Aig_ObjIsLatch(pObj) )
+ Aig_ObjSetTravIdCurrent( p, pObj );
+ // go through the nodes
+ vNodes = Vec_PtrAlloc( Aig_ManNodeNum(p) );
+ Aig_ManForEachObj( p, pObj, i )
+ if ( Aig_ObjIsNode(pObj) || Aig_ObjIsBuf(pObj) )
+ Aig_ManDfsReverse_rec( p, pObj, vNodes );
+ return vNodes;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes the max number of levels in the manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Aig_ManLevelNum( Aig_Man_t * p )
+{
+ Aig_Obj_t * pObj;
+ int i, LevelsMax;
+ LevelsMax = 0;
+ Aig_ManForEachPo( p, pObj, i )
+ LevelsMax = AIG_MAX( LevelsMax, (int)Aig_ObjFanin0(pObj)->Level );
+ return LevelsMax;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes the max number of levels in the manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Aig_ManCountLevels( Aig_Man_t * p )
+{
+ Vec_Ptr_t * vNodes;
+ Aig_Obj_t * pObj;
+ int i, LevelsMax, Level0, Level1;
+ // initialize the levels
+ Aig_ManConst1(p)->iData = 0;
+ Aig_ManForEachPi( p, pObj, i )
+ pObj->iData = 0;
+ // compute levels in a DFS order
+ vNodes = Aig_ManDfs( p );
+ Vec_PtrForEachEntry( vNodes, pObj, i )
+ {
+ Level0 = Aig_ObjFanin0(pObj)->iData;
+ Level1 = Aig_ObjFanin1(pObj)->iData;
+ pObj->iData = 1 + Aig_ObjIsExor(pObj) + AIG_MAX(Level0, Level1);
+ }
+ Vec_PtrFree( vNodes );
+ // get levels of the POs
+ LevelsMax = 0;
+ Aig_ManForEachPo( p, pObj, i )
+ LevelsMax = AIG_MAX( LevelsMax, Aig_ObjFanin0(pObj)->iData );
+ return LevelsMax;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Counts the number of AIG nodes rooted at this cone.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ConeMark_rec( Aig_Obj_t * pObj )
+{
+ assert( !Aig_IsComplement(pObj) );
+ if ( !Aig_ObjIsNode(pObj) || Aig_ObjIsMarkA(pObj) )
+ return;
+ Aig_ConeMark_rec( Aig_ObjFanin0(pObj) );
+ Aig_ConeMark_rec( Aig_ObjFanin1(pObj) );
+ assert( !Aig_ObjIsMarkA(pObj) ); // loop detection
+ Aig_ObjSetMarkA( pObj );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Counts the number of AIG nodes rooted at this cone.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ConeCleanAndMark_rec( Aig_Obj_t * pObj )
+{
+ assert( !Aig_IsComplement(pObj) );
+ if ( !Aig_ObjIsNode(pObj) || Aig_ObjIsMarkA(pObj) )
+ return;
+ Aig_ConeCleanAndMark_rec( Aig_ObjFanin0(pObj) );
+ Aig_ConeCleanAndMark_rec( Aig_ObjFanin1(pObj) );
+ assert( !Aig_ObjIsMarkA(pObj) ); // loop detection
+ Aig_ObjSetMarkA( pObj );
+ pObj->pData = NULL;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Counts the number of AIG nodes rooted at this cone.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Aig_ConeCountAndMark_rec( Aig_Obj_t * pObj )
+{
+ int Counter;
+ assert( !Aig_IsComplement(pObj) );
+ if ( !Aig_ObjIsNode(pObj) || Aig_ObjIsMarkA(pObj) )
+ return 0;
+ Counter = 1 + Aig_ConeCountAndMark_rec( Aig_ObjFanin0(pObj) ) +
+ Aig_ConeCountAndMark_rec( Aig_ObjFanin1(pObj) );
+ assert( !Aig_ObjIsMarkA(pObj) ); // loop detection
+ Aig_ObjSetMarkA( pObj );
+ return Counter;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Counts the number of AIG nodes rooted at this cone.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ConeUnmark_rec( Aig_Obj_t * pObj )
+{
+ assert( !Aig_IsComplement(pObj) );
+ if ( !Aig_ObjIsNode(pObj) || !Aig_ObjIsMarkA(pObj) )
+ return;
+ Aig_ConeUnmark_rec( Aig_ObjFanin0(pObj) );
+ Aig_ConeUnmark_rec( Aig_ObjFanin1(pObj) );
+ assert( Aig_ObjIsMarkA(pObj) ); // loop detection
+ Aig_ObjClearMarkA( pObj );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Counts the number of AIG nodes rooted at this cone.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Aig_DagSize( Aig_Obj_t * pObj )
+{
+ int Counter;
+ Counter = Aig_ConeCountAndMark_rec( Aig_Regular(pObj) );
+ Aig_ConeUnmark_rec( Aig_Regular(pObj) );
+ return Counter;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Counts the support size of the node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_SupportSize_rec( Aig_Man_t * p, Aig_Obj_t * pObj, int * pCounter )
+{
+ if ( Aig_ObjIsTravIdCurrent(p, pObj) )
+ return;
+ Aig_ObjSetTravIdCurrent(p, pObj);
+ if ( Aig_ObjIsPi(pObj) )
+ {
+ (*pCounter)++;
+ return;
+ }
+ assert( Aig_ObjIsNode(pObj) || Aig_ObjIsBuf(pObj) );
+ Aig_SupportSize_rec( p, Aig_ObjFanin0(pObj), pCounter );
+ if ( Aig_ObjFanin1(pObj) )
+ Aig_SupportSize_rec( p, Aig_ObjFanin1(pObj), pCounter );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Counts the support size of the node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Aig_SupportSize( Aig_Man_t * p, Aig_Obj_t * pObj )
+{
+ int Counter = 0;
+ assert( !Aig_IsComplement(pObj) );
+ assert( !Aig_ObjIsPo(pObj) );
+ Aig_ManIncrementTravId( p );
+ Aig_SupportSize_rec( p, pObj, &Counter );
+ return Counter;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Transfers the AIG from one manager into another.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_Transfer_rec( Aig_Man_t * pDest, Aig_Obj_t * pObj )
+{
+ assert( !Aig_IsComplement(pObj) );
+ if ( !Aig_ObjIsNode(pObj) || Aig_ObjIsMarkA(pObj) )
+ return;
+ Aig_Transfer_rec( pDest, Aig_ObjFanin0(pObj) );
+ Aig_Transfer_rec( pDest, Aig_ObjFanin1(pObj) );
+ pObj->pData = Aig_And( pDest, Aig_ObjChild0Copy(pObj), Aig_ObjChild1Copy(pObj) );
+ assert( !Aig_ObjIsMarkA(pObj) ); // loop detection
+ Aig_ObjSetMarkA( pObj );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Transfers the AIG from one manager into another.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Obj_t * Aig_Transfer( Aig_Man_t * pSour, Aig_Man_t * pDest, Aig_Obj_t * pRoot, int nVars )
+{
+ Aig_Obj_t * pObj;
+ int i;
+ // solve simple cases
+ if ( pSour == pDest )
+ return pRoot;
+ if ( Aig_ObjIsConst1( Aig_Regular(pRoot) ) )
+ return Aig_NotCond( Aig_ManConst1(pDest), Aig_IsComplement(pRoot) );
+ // set the PI mapping
+ Aig_ManForEachPi( pSour, pObj, i )
+ {
+ if ( i == nVars )
+ break;
+ pObj->pData = Aig_IthVar(pDest, i);
+ }
+ // transfer and set markings
+ Aig_Transfer_rec( pDest, Aig_Regular(pRoot) );
+ // clear the markings
+ Aig_ConeUnmark_rec( Aig_Regular(pRoot) );
+ return Aig_NotCond( Aig_Regular(pRoot)->pData, Aig_IsComplement(pRoot) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Composes the AIG (pRoot) with the function (pFunc) using PI var (iVar).]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_Compose_rec( Aig_Man_t * p, Aig_Obj_t * pObj, Aig_Obj_t * pFunc, Aig_Obj_t * pVar )
+{
+ assert( !Aig_IsComplement(pObj) );
+ if ( Aig_ObjIsMarkA(pObj) )
+ return;
+ if ( Aig_ObjIsConst1(pObj) || Aig_ObjIsPi(pObj) )
+ {
+ pObj->pData = pObj == pVar ? pFunc : pObj;
+ return;
+ }
+ Aig_Compose_rec( p, Aig_ObjFanin0(pObj), pFunc, pVar );
+ Aig_Compose_rec( p, Aig_ObjFanin1(pObj), pFunc, pVar );
+ pObj->pData = Aig_And( p, Aig_ObjChild0Copy(pObj), Aig_ObjChild1Copy(pObj) );
+ assert( !Aig_ObjIsMarkA(pObj) ); // loop detection
+ Aig_ObjSetMarkA( pObj );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Composes the AIG (pRoot) with the function (pFunc) using PI var (iVar).]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Obj_t * Aig_Compose( Aig_Man_t * p, Aig_Obj_t * pRoot, Aig_Obj_t * pFunc, int iVar )
+{
+ // quit if the PI variable is not defined
+ if ( iVar >= Aig_ManPiNum(p) )
+ {
+ printf( "Aig_Compose(): The PI variable %d is not defined.\n", iVar );
+ return NULL;
+ }
+ // recursively perform composition
+ Aig_Compose_rec( p, Aig_Regular(pRoot), pFunc, Aig_ManPi(p, iVar) );
+ // clear the markings
+ Aig_ConeUnmark_rec( Aig_Regular(pRoot) );
+ return Aig_NotCond( Aig_Regular(pRoot)->pData, Aig_IsComplement(pRoot) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes the internal nodes of the cut.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ObjCollectCut_rec( Aig_Obj_t * pNode, Vec_Ptr_t * vNodes )
+{
+// Aig_Obj_t * pFan0 = Aig_ObjFanin0(pNode);
+// Aig_Obj_t * pFan1 = Aig_ObjFanin1(pNode);
+ if ( pNode->fMarkA )
+ return;
+ pNode->fMarkA = 1;
+ assert( Aig_ObjIsNode(pNode) );
+ Aig_ObjCollectCut_rec( Aig_ObjFanin0(pNode), vNodes );
+ Aig_ObjCollectCut_rec( Aig_ObjFanin1(pNode), vNodes );
+ Vec_PtrPush( vNodes, pNode );
+//printf( "added %d ", pNode->Id );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes the internal nodes of the cut.]
+
+ Description [Does not include the leaves of the cut.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ObjCollectCut( Aig_Obj_t * pRoot, Vec_Ptr_t * vLeaves, Vec_Ptr_t * vNodes )
+{
+ Aig_Obj_t * pObj;
+ int i;
+ // collect and mark the leaves
+ Vec_PtrClear( vNodes );
+ Vec_PtrForEachEntry( vLeaves, pObj, i )
+ {
+ assert( pObj->fMarkA == 0 );
+ pObj->fMarkA = 1;
+// printf( "%d " , pObj->Id );
+ }
+//printf( "\n" );
+ // collect and mark the nodes
+ Aig_ObjCollectCut_rec( pRoot, vNodes );
+ // clean the nodes
+ Vec_PtrForEachEntry( vNodes, pObj, i )
+ pObj->fMarkA = 0;
+ Vec_PtrForEachEntry( vLeaves, pObj, i )
+ pObj->fMarkA = 0;
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Collects the nodes of the supergate.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Aig_ObjCollectSuper_rec( Aig_Obj_t * pRoot, Aig_Obj_t * pObj, Vec_Ptr_t * vSuper )
+{
+ int RetValue1, RetValue2, i;
+ // check if the node is visited
+ if ( Aig_Regular(pObj)->fMarkA )
+ {
+ // check if the node occurs in the same polarity
+ for ( i = 0; i < vSuper->nSize; i++ )
+ if ( vSuper->pArray[i] == pObj )
+ return 1;
+ // check if the node is present in the opposite polarity
+ for ( i = 0; i < vSuper->nSize; i++ )
+ if ( vSuper->pArray[i] == Aig_Not(pObj) )
+ return -1;
+ assert( 0 );
+ return 0;
+ }
+ // if the new node is complemented or a PI, another gate begins
+ if ( pObj != pRoot && (Aig_IsComplement(pObj) || Aig_ObjType(pObj) != Aig_ObjType(pRoot) || Aig_ObjRefs(pObj) > 1) )
+ {
+ Vec_PtrPush( vSuper, pObj );
+ Aig_Regular(pObj)->fMarkA = 1;
+ return 0;
+ }
+ assert( !Aig_IsComplement(pObj) );
+ assert( Aig_ObjIsNode(pObj) );
+ // go through the branches
+ RetValue1 = Aig_ObjCollectSuper_rec( pRoot, Aig_ObjReal_rec( Aig_ObjChild0(pObj) ), vSuper );
+ RetValue2 = Aig_ObjCollectSuper_rec( pRoot, Aig_ObjReal_rec( Aig_ObjChild1(pObj) ), vSuper );
+ if ( RetValue1 == -1 || RetValue2 == -1 )
+ return -1;
+ // return 1 if at least one branch has a duplicate
+ return RetValue1 || RetValue2;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Collects the nodes of the supergate.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Aig_ObjCollectSuper( Aig_Obj_t * pObj, Vec_Ptr_t * vSuper )
+{
+ int RetValue, i;
+ assert( !Aig_IsComplement(pObj) );
+ assert( Aig_ObjIsNode(pObj) );
+ // collect the nodes in the implication supergate
+ Vec_PtrClear( vSuper );
+ RetValue = Aig_ObjCollectSuper_rec( pObj, pObj, vSuper );
+ assert( Vec_PtrSize(vSuper) > 1 );
+ // unmark the visited nodes
+ Vec_PtrForEachEntry( vSuper, pObj, i )
+ Aig_Regular(pObj)->fMarkA = 0;
+ // if we found the node and its complement in the same implication supergate,
+ // return empty set of nodes (meaning that we should use constant-0 node)
+ if ( RetValue == -1 )
+ vSuper->nSize = 0;
+ return RetValue;
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/aig/aigFanout.c b/src/aig/aig/aigFanout.c
new file mode 100644
index 00000000..d0beb128
--- /dev/null
+++ b/src/aig/aig/aigFanout.c
@@ -0,0 +1,189 @@
+/**CFile****************************************************************
+
+ FileName [aigFanout.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [AIG package.]
+
+ Synopsis [Fanout manipulation.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - April 28, 2007.]
+
+ Revision [$Id: aigFanout.c,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "aig.h"
+
+// 0: first iFan
+// 1: prev iFan0
+// 2: prev iFan1
+// 3: next iFan0
+// 4: next iFan1
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+static inline int Aig_FanoutCreate( int FanId, int Num ) { assert( Num < 2 ); return (FanId << 1) | Num; }
+static inline int * Aig_FanoutObj( int * pData, int ObjId ) { return pData + 5*ObjId; }
+static inline int * Aig_FanoutPrev( int * pData, int iFan ) { return pData + 5*(iFan >> 1) + 1 + (iFan & 1); }
+static inline int * Aig_FanoutNext( int * pData, int iFan ) { return pData + 5*(iFan >> 1) + 3 + (iFan & 1); }
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Create fanout for all objects in the manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ManFanoutStart( Aig_Man_t * p )
+{
+ Aig_Obj_t * pObj;
+ int i;
+ assert( Aig_ManBufNum(p) == 0 );
+ // allocate fanout datastructure
+ assert( p->pFanData == NULL );
+ p->nFansAlloc = 2 * Aig_ManObjNumMax(p);
+ if ( p->nFansAlloc < (1<<12) )
+ p->nFansAlloc = (1<<12);
+ p->pFanData = ALLOC( int, 5 * p->nFansAlloc );
+ memset( p->pFanData, 0, sizeof(int) * 5 * p->nFansAlloc );
+ // add fanouts for all objects
+ Aig_ManForEachObj( p, pObj, i )
+ {
+ if ( Aig_ObjChild0(pObj) )
+ Aig_ObjAddFanout( p, Aig_ObjFanin0(pObj), pObj );
+ if ( Aig_ObjChild1(pObj) )
+ Aig_ObjAddFanout( p, Aig_ObjFanin1(pObj), pObj );
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Deletes fanout for all objects in the manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ManFanoutStop( Aig_Man_t * p )
+{
+ assert( p->pFanData != NULL );
+ FREE( p->pFanData );
+ p->nFansAlloc = 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Adds fanout (pFanout) of node (pObj).]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ObjAddFanout( Aig_Man_t * p, Aig_Obj_t * pObj, Aig_Obj_t * pFanout )
+{
+ int iFan, * pFirst, * pPrevC, * pNextC, * pPrev, * pNext;
+ assert( p->pFanData );
+ assert( !Aig_IsComplement(pObj) && !Aig_IsComplement(pFanout) );
+ assert( pFanout->Id > 0 );
+ if ( pObj->Id >= p->nFansAlloc || pFanout->Id >= p->nFansAlloc )
+ {
+ int nFansAlloc = 2 * AIG_MAX( pObj->Id, pFanout->Id );
+ p->pFanData = REALLOC( int, p->pFanData, 5 * nFansAlloc );
+ memset( p->pFanData + 5 * p->nFansAlloc, 0, sizeof(int) * 5 * (nFansAlloc - p->nFansAlloc) );
+ p->nFansAlloc = nFansAlloc;
+ }
+ assert( pObj->Id < p->nFansAlloc && pFanout->Id < p->nFansAlloc );
+ iFan = Aig_FanoutCreate( pFanout->Id, Aig_ObjWhatFanin(pFanout, pObj) );
+ pPrevC = Aig_FanoutPrev( p->pFanData, iFan );
+ pNextC = Aig_FanoutNext( p->pFanData, iFan );
+ pFirst = Aig_FanoutObj( p->pFanData, pObj->Id );
+ if ( *pFirst == 0 )
+ {
+ *pFirst = iFan;
+ *pPrevC = iFan;
+ *pNextC = iFan;
+ }
+ else
+ {
+ pPrev = Aig_FanoutPrev( p->pFanData, *pFirst );
+ pNext = Aig_FanoutNext( p->pFanData, *pPrev );
+ assert( *pNext == *pFirst );
+ *pPrevC = *pPrev;
+ *pNextC = *pFirst;
+ *pPrev = iFan;
+ *pNext = iFan;
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Removes fanout (pFanout) of node (pObj).]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ObjRemoveFanout( Aig_Man_t * p, Aig_Obj_t * pObj, Aig_Obj_t * pFanout )
+{
+ int iFan, * pFirst, * pPrevC, * pNextC, * pPrev, * pNext;
+ assert( p->pFanData && pObj->Id < p->nFansAlloc && pFanout->Id < p->nFansAlloc );
+ assert( !Aig_IsComplement(pObj) && !Aig_IsComplement(pFanout) );
+ assert( pFanout->Id > 0 );
+ iFan = Aig_FanoutCreate( pFanout->Id, Aig_ObjWhatFanin(pFanout, pObj) );
+ pPrevC = Aig_FanoutPrev( p->pFanData, iFan );
+ pNextC = Aig_FanoutNext( p->pFanData, iFan );
+ pPrev = Aig_FanoutPrev( p->pFanData, *pNextC );
+ pNext = Aig_FanoutNext( p->pFanData, *pPrevC );
+ assert( *pPrev == iFan );
+ assert( *pNext == iFan );
+ pFirst = Aig_FanoutObj( p->pFanData, pObj->Id );
+ assert( *pFirst > 0 );
+ if ( *pFirst == iFan )
+ {
+ if ( *pNextC == iFan )
+ {
+ *pFirst = 0;
+ *pPrev = 0;
+ *pNext = 0;
+ *pPrevC = 0;
+ *pNextC = 0;
+ return;
+ }
+ *pFirst = *pNextC;
+ }
+ *pPrev = *pPrevC;
+ *pNext = *pNextC;
+ *pPrevC = 0;
+ *pNextC = 0;
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/aig/aigMan.c b/src/aig/aig/aigMan.c
new file mode 100644
index 00000000..fed6aebd
--- /dev/null
+++ b/src/aig/aig/aigMan.c
@@ -0,0 +1,325 @@
+/**CFile****************************************************************
+
+ FileName [aigMan.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [AIG package.]
+
+ Synopsis [AIG manager.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - April 28, 2007.]
+
+ Revision [$Id: aigMan.c,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "aig.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Starts the AIG manager.]
+
+ Description [The argument of this procedure is a soft limit on the
+ the number of nodes, or 0 if the limit is unknown.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Man_t * Aig_ManStart( int nNodesMax )
+{
+ Aig_Man_t * p;
+ if ( nNodesMax <= 0 )
+ nNodesMax = 10007;
+ // start the manager
+ p = ALLOC( Aig_Man_t, 1 );
+ memset( p, 0, sizeof(Aig_Man_t) );
+ // perform initializations
+ p->nTravIds = 1;
+ p->fCatchExor = 0;
+ // allocate arrays for nodes
+ p->vPis = Vec_PtrAlloc( 100 );
+ p->vPos = Vec_PtrAlloc( 100 );
+ p->vObjs = Vec_PtrAlloc( 1000 );
+ p->vBufs = Vec_PtrAlloc( 100 );
+ // prepare the internal memory manager
+ p->pMemObjs = Aig_MmFixedStart( sizeof(Aig_Obj_t), nNodesMax );
+ // create the constant node
+ p->pConst1 = Aig_ManFetchMemory( p );
+ p->pConst1->Type = AIG_OBJ_CONST1;
+ p->pConst1->fPhase = 1;
+ p->nObjs[AIG_OBJ_CONST1]++;
+ // start the table
+ p->nTableSize = Aig_PrimeCudd( nNodesMax );
+ p->pTable = ALLOC( Aig_Obj_t *, p->nTableSize );
+ memset( p->pTable, 0, sizeof(Aig_Obj_t *) * p->nTableSize );
+ return p;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Duplicates the AIG manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Man_t * Aig_ManStartFrom( Aig_Man_t * p )
+{
+ Aig_Man_t * pNew;
+ Aig_Obj_t * pObj;
+ int i;
+ // create the new manager
+ pNew = Aig_ManStart( Aig_ManObjNumMax(p) );
+ pNew->pName = Aig_UtilStrsav( p->pName );
+ // create the PIs
+ Aig_ManConst1(p)->pData = Aig_ManConst1(pNew);
+ Aig_ManForEachPi( p, pObj, i )
+ pObj->pData = Aig_ObjCreatePi(pNew);
+ return pNew;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Duplicates the AIG manager recursively.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Obj_t * Aig_ManDup_rec( Aig_Man_t * pNew, Aig_Man_t * p, Aig_Obj_t * pObj )
+{
+ if ( pObj->pData )
+ return pObj->pData;
+ Aig_ManDup_rec( pNew, p, Aig_ObjFanin0(pObj) );
+ if ( Aig_ObjIsBuf(pObj) )
+ return pObj->pData = Aig_ObjChild0Copy(pObj);
+ Aig_ManDup_rec( pNew, p, Aig_ObjFanin1(pObj) );
+ return pObj->pData = Aig_And( pNew, Aig_ObjChild0Copy(pObj), Aig_ObjChild1Copy(pObj) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Duplicates the AIG manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Man_t * Aig_ManDup( Aig_Man_t * p, int fOrdered )
+{
+ Aig_Man_t * pNew;
+ Aig_Obj_t * pObj;
+ int i;
+ // create the new manager
+ pNew = Aig_ManStart( Aig_ManObjNumMax(p) );
+ pNew->pName = Aig_UtilStrsav( p->pName );
+ pNew->nRegs = p->nRegs;
+ pNew->nAsserts = p->nAsserts;
+ if ( p->vFlopNums )
+ pNew->vFlopNums = Vec_IntDup( p->vFlopNums );
+ // create the PIs
+ Aig_ManCleanData( p );
+ Aig_ManConst1(p)->pData = Aig_ManConst1(pNew);
+ Aig_ManForEachPi( p, pObj, i )
+ pObj->pData = Aig_ObjCreatePi(pNew);
+ // duplicate internal nodes
+ if ( fOrdered )
+ {
+ Aig_ManForEachObj( p, pObj, i )
+ if ( Aig_ObjIsBuf(pObj) )
+ pObj->pData = Aig_ObjChild0Copy(pObj);
+ else if ( Aig_ObjIsNode(pObj) )
+ pObj->pData = Aig_And( pNew, Aig_ObjChild0Copy(pObj), Aig_ObjChild1Copy(pObj) );
+ }
+ else
+ {
+ Aig_ManForEachObj( p, pObj, i )
+ if ( !Aig_ObjIsPo(pObj) )
+ {
+ Aig_ManDup_rec( pNew, p, pObj );
+ assert( pObj->Level == ((Aig_Obj_t*)pObj->pData)->Level );
+ }
+ }
+ // add the POs
+ Aig_ManForEachPo( p, pObj, i )
+ Aig_ObjCreatePo( pNew, Aig_ObjChild0Copy(pObj) );
+ assert( Aig_ManBufNum(p) != 0 || Aig_ManNodeNum(p) == Aig_ManNodeNum(pNew) );
+ // check the resulting network
+ if ( !Aig_ManCheck(pNew) )
+ printf( "Aig_ManDup(): The check has failed.\n" );
+ return pNew;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Extracts the miter composed of XOR of the two nodes.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Man_t * Aig_ManExtractMiter( Aig_Man_t * p, Aig_Obj_t * pNode1, Aig_Obj_t * pNode2 )
+{
+ Aig_Man_t * pNew;
+ Aig_Obj_t * pObj;
+ int i;
+ // create the new manager
+ pNew = Aig_ManStart( Aig_ManObjNumMax(p) );
+ pNew->pName = Aig_UtilStrsav( p->pName );
+ // create the PIs
+ Aig_ManCleanData( p );
+ Aig_ManConst1(p)->pData = Aig_ManConst1(pNew);
+ Aig_ManForEachPi( p, pObj, i )
+ pObj->pData = Aig_ObjCreatePi(pNew);
+ // dump the nodes
+ Aig_ManDup_rec( pNew, p, pNode1 );
+ Aig_ManDup_rec( pNew, p, pNode2 );
+ // construct the EXOR
+ pObj = Aig_Exor( pNew, pNode1->pData, pNode2->pData );
+ pObj = Aig_NotCond( pObj, Aig_Regular(pObj)->fPhase ^ Aig_IsComplement(pObj) );
+ // add the PO
+ Aig_ObjCreatePo( pNew, pObj );
+ // check the resulting network
+ if ( !Aig_ManCheck(pNew) )
+ printf( "Aig_ManDup(): The check has failed.\n" );
+ return pNew;
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Stops the AIG manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ManStop( Aig_Man_t * p )
+{
+ Aig_Obj_t * pObj;
+ int i;
+ if ( p->vMapped )
+ Vec_PtrFree( p->vMapped );
+ // print time
+ if ( p->time1 ) { PRT( "time1", p->time1 ); }
+ if ( p->time2 ) { PRT( "time2", p->time2 ); }
+ // delete timing
+ if ( p->pManTime )
+ Aig_TManStop( p->pManTime );
+ // delete fanout
+ if ( p->pFanData )
+ Aig_ManFanoutStop( p );
+ // make sure the nodes have clean marks
+ Aig_ManForEachObj( p, pObj, i )
+ assert( !pObj->fMarkA && !pObj->fMarkB );
+// Aig_TableProfile( p );
+ Aig_MmFixedStop( p->pMemObjs, 0 );
+ if ( p->vPis ) Vec_PtrFree( p->vPis );
+ if ( p->vPos ) Vec_PtrFree( p->vPos );
+ if ( p->vObjs ) Vec_PtrFree( p->vObjs );
+ if ( p->vBufs ) Vec_PtrFree( p->vBufs );
+ if ( p->vLevelR ) Vec_IntFree( p->vLevelR );
+ if ( p->vLevels ) Vec_VecFree( p->vLevels );
+ if ( p->vFlopNums) Vec_IntFree( p->vFlopNums );
+ FREE( p->pName );
+ FREE( p->pObjCopies );
+ FREE( p->pReprs );
+ FREE( p->pEquivs );
+ free( p->pTable );
+ free( p );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns the number of dangling nodes removed.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Aig_ManCleanup( Aig_Man_t * p )
+{
+ Vec_Ptr_t * vObjs;
+ Aig_Obj_t * pNode;
+ int i, nNodesOld;
+ nNodesOld = Aig_ManNodeNum(p);
+ // collect roots of dangling nodes
+ vObjs = Vec_PtrAlloc( 100 );
+ Aig_ManForEachObj( p, pNode, i )
+ if ( Aig_ObjIsNode(pNode) && Aig_ObjRefs(pNode) == 0 )
+ Vec_PtrPush( vObjs, pNode );
+ // recursively remove dangling nodes
+ Vec_PtrForEachEntry( vObjs, pNode, i )
+ Aig_ObjDelete_rec( p, pNode, 1 );
+ Vec_PtrFree( vObjs );
+ return nNodesOld - Aig_ManNodeNum(p);
+}
+
+/**Function*************************************************************
+
+ Synopsis [Stops the AIG manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ManPrintStats( Aig_Man_t * p )
+{
+ printf( "PI/PO/Lat = %5d/%5d/%5d ", Aig_ManPiNum(p), Aig_ManPoNum(p), Aig_ManLatchNum(p) );
+ printf( "A = %7d. ", Aig_ManAndNum(p) );
+ if ( Aig_ManExorNum(p) )
+ printf( "X = %5d. ", Aig_ManExorNum(p) );
+// if ( Aig_ManBufNum(p) )
+ printf( "B = %5d. ", Aig_ManBufNum(p) );
+// printf( "Cre = %6d. ", p->nCreated );
+// printf( "Del = %6d. ", p->nDeleted );
+// printf( "Lev = %3d. ", Aig_ManCountLevels(p) );
+ printf( "Max = %7d. ", Aig_ManObjNumMax(p) );
+ printf( "Lev = %3d. ", Aig_ManLevels(p) );
+ if ( Aig_ManRegNum(p) )
+ printf( "Lat = %5d. ", Aig_ManRegNum(p) );
+ printf( "\n" );
+ fflush( stdout );
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/aig/aigMem.c b/src/aig/aig/aigMem.c
new file mode 100644
index 00000000..dab90777
--- /dev/null
+++ b/src/aig/aig/aigMem.c
@@ -0,0 +1,598 @@
+/**CFile****************************************************************
+
+ FileName [aigMem.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [AIG package.]
+
+ Synopsis [Memory managers.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - April 28, 2007.]
+
+ Revision [$Id: aigMem.c,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "aig.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+struct Aig_MmFixed_t_
+{
+ // information about individual entries
+ int nEntrySize; // the size of one entry
+ int nEntriesAlloc; // the total number of entries allocated
+ int nEntriesUsed; // the number of entries in use
+ int nEntriesMax; // the max number of entries in use
+ char * pEntriesFree; // the linked list of free entries
+
+ // this is where the memory is stored
+ int nChunkSize; // the size of one chunk
+ int nChunksAlloc; // the maximum number of memory chunks
+ int nChunks; // the current number of memory chunks
+ char ** pChunks; // the allocated memory
+
+ // statistics
+ int nMemoryUsed; // memory used in the allocated entries
+ int nMemoryAlloc; // memory allocated
+};
+
+struct Aig_MmFlex_t_
+{
+ // information about individual entries
+ int nEntriesUsed; // the number of entries allocated
+ char * pCurrent; // the current pointer to free memory
+ char * pEnd; // the first entry outside the free memory
+
+ // this is where the memory is stored
+ int nChunkSize; // the size of one chunk
+ int nChunksAlloc; // the maximum number of memory chunks
+ int nChunks; // the current number of memory chunks
+ char ** pChunks; // the allocated memory
+
+ // statistics
+ int nMemoryUsed; // memory used in the allocated entries
+ int nMemoryAlloc; // memory allocated
+};
+
+struct Aig_MmStep_t_
+{
+ int nMems; // the number of fixed memory managers employed
+ Aig_MmFixed_t ** pMems; // memory managers: 2^1 words, 2^2 words, etc
+ int nMapSize; // the size of the memory array
+ Aig_MmFixed_t ** pMap; // maps the number of bytes into its memory manager
+};
+
+#define ALLOC(type, num) ((type *) malloc(sizeof(type) * (num)))
+#define FREE(obj) ((obj) ? (free((char *) (obj)), (obj) = 0) : 0)
+#define REALLOC(type, obj, num) \
+ ((obj) ? ((type *) realloc((char *)(obj), sizeof(type) * (num))) : \
+ ((type *) malloc(sizeof(type) * (num))))
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Allocates memory pieces of fixed size.]
+
+ Description [The size of the chunk is computed as the minimum of
+ 1024 entries and 64K. Can only work with entry size at least 4 byte long.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_MmFixed_t * Aig_MmFixedStart( int nEntrySize, int nEntriesMax )
+{
+ Aig_MmFixed_t * p;
+
+ p = ALLOC( Aig_MmFixed_t, 1 );
+ memset( p, 0, sizeof(Aig_MmFixed_t) );
+
+ p->nEntrySize = nEntrySize;
+ p->nEntriesAlloc = 0;
+ p->nEntriesUsed = 0;
+ p->pEntriesFree = NULL;
+
+ p->nChunkSize = nEntriesMax / 8;
+ if ( p->nChunkSize < 8 )
+ p->nChunkSize = 8;
+
+ p->nChunksAlloc = 64;
+ p->nChunks = 0;
+ p->pChunks = ALLOC( char *, p->nChunksAlloc );
+
+ p->nMemoryUsed = 0;
+ p->nMemoryAlloc = 0;
+ return p;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_MmFixedStop( Aig_MmFixed_t * p, int fVerbose )
+{
+ int i;
+ if ( p == NULL )
+ return;
+ if ( fVerbose )
+ {
+ printf( "Fixed memory manager: Entry = %5d. Chunk = %5d. Chunks used = %5d.\n",
+ p->nEntrySize, p->nChunkSize, p->nChunks );
+ printf( " Entries used = %8d. Entries peak = %8d. Memory used = %8d. Memory alloc = %8d.\n",
+ p->nEntriesUsed, p->nEntriesMax, p->nEntrySize * p->nEntriesUsed, p->nMemoryAlloc );
+ }
+ for ( i = 0; i < p->nChunks; i++ )
+ free( p->pChunks[i] );
+ free( p->pChunks );
+ free( p );
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+char * Aig_MmFixedEntryFetch( Aig_MmFixed_t * p )
+{
+ char * pTemp;
+ int i;
+
+ // check if there are still free entries
+ if ( p->nEntriesUsed == p->nEntriesAlloc )
+ { // need to allocate more entries
+ assert( p->pEntriesFree == NULL );
+ if ( p->nChunks == p->nChunksAlloc )
+ {
+ p->nChunksAlloc *= 2;
+ p->pChunks = REALLOC( char *, p->pChunks, p->nChunksAlloc );
+ }
+ p->pEntriesFree = ALLOC( char, p->nEntrySize * p->nChunkSize );
+ p->nMemoryAlloc += p->nEntrySize * p->nChunkSize;
+ // transform these entries into a linked list
+ pTemp = p->pEntriesFree;
+ for ( i = 1; i < p->nChunkSize; i++ )
+ {
+ *((char **)pTemp) = pTemp + p->nEntrySize;
+ pTemp += p->nEntrySize;
+ }
+ // set the last link
+ *((char **)pTemp) = NULL;
+ // add the chunk to the chunk storage
+ p->pChunks[ p->nChunks++ ] = p->pEntriesFree;
+ // add to the number of entries allocated
+ p->nEntriesAlloc += p->nChunkSize;
+ }
+ // incrememt the counter of used entries
+ p->nEntriesUsed++;
+ if ( p->nEntriesMax < p->nEntriesUsed )
+ p->nEntriesMax = p->nEntriesUsed;
+ // return the first entry in the free entry list
+ pTemp = p->pEntriesFree;
+ p->pEntriesFree = *((char **)pTemp);
+ return pTemp;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_MmFixedEntryRecycle( Aig_MmFixed_t * p, char * pEntry )
+{
+ // decrement the counter of used entries
+ p->nEntriesUsed--;
+ // add the entry to the linked list of free entries
+ *((char **)pEntry) = p->pEntriesFree;
+ p->pEntriesFree = pEntry;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description [Relocates all the memory except the first chunk.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_MmFixedRestart( Aig_MmFixed_t * p )
+{
+ int i;
+ char * pTemp;
+ if ( p->nChunks == 0 )
+ return;
+ // deallocate all chunks except the first one
+ for ( i = 1; i < p->nChunks; i++ )
+ free( p->pChunks[i] );
+ p->nChunks = 1;
+ // transform these entries into a linked list
+ pTemp = p->pChunks[0];
+ for ( i = 1; i < p->nChunkSize; i++ )
+ {
+ *((char **)pTemp) = pTemp + p->nEntrySize;
+ pTemp += p->nEntrySize;
+ }
+ // set the last link
+ *((char **)pTemp) = NULL;
+ // set the free entry list
+ p->pEntriesFree = p->pChunks[0];
+ // set the correct statistics
+ p->nMemoryAlloc = p->nEntrySize * p->nChunkSize;
+ p->nMemoryUsed = 0;
+ p->nEntriesAlloc = p->nChunkSize;
+ p->nEntriesUsed = 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Aig_MmFixedReadMemUsage( Aig_MmFixed_t * p )
+{
+ return p->nMemoryAlloc;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Aig_MmFixedReadMaxEntriesUsed( Aig_MmFixed_t * p )
+{
+ return p->nEntriesMax;
+}
+
+
+
+/**Function*************************************************************
+
+ Synopsis [Allocates entries of flexible size.]
+
+ Description [Can only work with entry size at least 4 byte long.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_MmFlex_t * Aig_MmFlexStart()
+{
+ Aig_MmFlex_t * p;
+
+ p = ALLOC( Aig_MmFlex_t, 1 );
+ memset( p, 0, sizeof(Aig_MmFlex_t) );
+
+ p->nEntriesUsed = 0;
+ p->pCurrent = NULL;
+ p->pEnd = NULL;
+
+ p->nChunkSize = (1 << 18);
+ p->nChunksAlloc = 64;
+ p->nChunks = 0;
+ p->pChunks = ALLOC( char *, p->nChunksAlloc );
+
+ p->nMemoryUsed = 0;
+ p->nMemoryAlloc = 0;
+ return p;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_MmFlexStop( Aig_MmFlex_t * p, int fVerbose )
+{
+ int i;
+ if ( p == NULL )
+ return;
+ if ( fVerbose )
+ {
+ printf( "Flexible memory manager: Chunk size = %d. Chunks used = %d.\n",
+ p->nChunkSize, p->nChunks );
+ printf( " Entries used = %d. Memory used = %d. Memory alloc = %d.\n",
+ p->nEntriesUsed, p->nMemoryUsed, p->nMemoryAlloc );
+ }
+ for ( i = 0; i < p->nChunks; i++ )
+ free( p->pChunks[i] );
+ free( p->pChunks );
+ free( p );
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+char * Aig_MmFlexEntryFetch( Aig_MmFlex_t * p, int nBytes )
+{
+ char * pTemp;
+ // check if there are still free entries
+ if ( p->pCurrent == NULL || p->pCurrent + nBytes > p->pEnd )
+ { // need to allocate more entries
+ if ( p->nChunks == p->nChunksAlloc )
+ {
+ p->nChunksAlloc *= 2;
+ p->pChunks = REALLOC( char *, p->pChunks, p->nChunksAlloc );
+ }
+ if ( nBytes > p->nChunkSize )
+ {
+ // resize the chunk size if more memory is requested than it can give
+ // (ideally, this should never happen)
+ p->nChunkSize = 2 * nBytes;
+ }
+ p->pCurrent = ALLOC( char, p->nChunkSize );
+ p->pEnd = p->pCurrent + p->nChunkSize;
+ p->nMemoryAlloc += p->nChunkSize;
+ // add the chunk to the chunk storage
+ p->pChunks[ p->nChunks++ ] = p->pCurrent;
+ }
+ assert( p->pCurrent + nBytes <= p->pEnd );
+ // increment the counter of used entries
+ p->nEntriesUsed++;
+ // keep track of the memory used
+ p->nMemoryUsed += nBytes;
+ // return the next entry
+ pTemp = p->pCurrent;
+ p->pCurrent += nBytes;
+ return pTemp;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description [Relocates all the memory except the first chunk.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_MmFlexRestart( Aig_MmFlex_t * p )
+{
+ int i;
+ if ( p->nChunks == 0 )
+ return;
+ // deallocate all chunks except the first one
+ for ( i = 1; i < p->nChunks; i++ )
+ free( p->pChunks[i] );
+ p->nChunks = 1;
+ p->nMemoryAlloc = p->nChunkSize;
+ // transform these entries into a linked list
+ p->pCurrent = p->pChunks[0];
+ p->pEnd = p->pCurrent + p->nChunkSize;
+ p->nEntriesUsed = 0;
+ p->nMemoryUsed = 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Aig_MmFlexReadMemUsage( Aig_MmFlex_t * p )
+{
+ return p->nMemoryUsed;
+}
+
+
+
+
+
+/**Function*************************************************************
+
+ Synopsis [Starts the hierarchical memory manager.]
+
+ Description [This manager can allocate entries of any size.
+ Iternally they are mapped into the entries with the number of bytes
+ equal to the power of 2. The smallest entry size is 8 bytes. The
+ next one is 16 bytes etc. So, if the user requests 6 bytes, he gets
+ 8 byte entry. If we asks for 25 bytes, he gets 32 byte entry etc.
+ The input parameters "nSteps" says how many fixed memory managers
+ are employed internally. Calling this procedure with nSteps equal
+ to 10 results in 10 hierarchically arranged internal memory managers,
+ which can allocate up to 4096 (1Kb) entries. Requests for larger
+ entries are handed over to malloc() and then free()ed.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_MmStep_t * Aig_MmStepStart( int nSteps )
+{
+ Aig_MmStep_t * p;
+ int i, k;
+ p = ALLOC( Aig_MmStep_t, 1 );
+ memset( p, 0, sizeof(Aig_MmStep_t) );
+ p->nMems = nSteps;
+ // start the fixed memory managers
+ p->pMems = ALLOC( Aig_MmFixed_t *, p->nMems );
+ for ( i = 0; i < p->nMems; i++ )
+ p->pMems[i] = Aig_MmFixedStart( (8<<i), (1<<13) );
+ // set up the mapping of the required memory size into the corresponding manager
+ p->nMapSize = (4<<p->nMems);
+ p->pMap = ALLOC( Aig_MmFixed_t *, p->nMapSize+1 );
+ p->pMap[0] = NULL;
+ for ( k = 1; k <= 4; k++ )
+ p->pMap[k] = p->pMems[0];
+ for ( i = 0; i < p->nMems; i++ )
+ for ( k = (4<<i)+1; k <= (8<<i); k++ )
+ p->pMap[k] = p->pMems[i];
+//for ( i = 1; i < 100; i ++ )
+//printf( "%10d: size = %10d\n", i, p->pMap[i]->nEntrySize );
+ return p;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Stops the memory manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_MmStepStop( Aig_MmStep_t * p, int fVerbose )
+{
+ int i;
+ for ( i = 0; i < p->nMems; i++ )
+ Aig_MmFixedStop( p->pMems[i], fVerbose );
+// if ( p->pLargeChunks )
+// {
+// for ( i = 0; i < p->nLargeChunks; i++ )
+// free( p->pLargeChunks[i] );
+// free( p->pLargeChunks );
+// }
+ free( p->pMems );
+ free( p->pMap );
+ free( p );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates the entry.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+char * Aig_MmStepEntryFetch( Aig_MmStep_t * p, int nBytes )
+{
+ if ( nBytes == 0 )
+ return NULL;
+ if ( nBytes > p->nMapSize )
+ {
+// printf( "Allocating %d bytes.\n", nBytes );
+/*
+ if ( p->nLargeChunks == p->nLargeChunksAlloc )
+ {
+ if ( p->nLargeChunksAlloc == 0 )
+ p->nLargeChunksAlloc = 5;
+ p->nLargeChunksAlloc *= 2;
+ p->pLargeChunks = REALLOC( char *, p->pLargeChunks, p->nLargeChunksAlloc );
+ }
+ p->pLargeChunks[ p->nLargeChunks++ ] = ALLOC( char, nBytes );
+ return p->pLargeChunks[ p->nLargeChunks - 1 ];
+*/
+ return ALLOC( char, nBytes );
+ }
+ return Aig_MmFixedEntryFetch( p->pMap[nBytes] );
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Recycles the entry.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_MmStepEntryRecycle( Aig_MmStep_t * p, char * pEntry, int nBytes )
+{
+ if ( nBytes == 0 )
+ return;
+ if ( nBytes > p->nMapSize )
+ {
+ free( pEntry );
+ return;
+ }
+ Aig_MmFixedEntryRecycle( p->pMap[nBytes], pEntry );
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Aig_MmStepReadMemUsage( Aig_MmStep_t * p )
+{
+ int i, nMemTotal = 0;
+ for ( i = 0; i < p->nMems; i++ )
+ nMemTotal += p->pMems[i]->nMemoryAlloc;
+ return nMemTotal;
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
diff --git a/src/aig/aig/aigMffc.c b/src/aig/aig/aigMffc.c
new file mode 100644
index 00000000..47ce896d
--- /dev/null
+++ b/src/aig/aig/aigMffc.c
@@ -0,0 +1,297 @@
+/**CFile****************************************************************
+
+ FileName [aigMffc.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [AIG package.]
+
+ Synopsis [Computation of MFFCs.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - April 28, 2007.]
+
+ Revision [$Id: aigMffc.c,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "aig.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Dereferences the node's MFFC.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Aig_NodeDeref_rec( Aig_Obj_t * pNode, unsigned LevelMin )
+{
+ Aig_Obj_t * pFanin;
+ int Counter = 0;
+ if ( Aig_ObjIsPi(pNode) )
+ return 0;
+ // consider the first fanin
+ pFanin = Aig_ObjFanin0(pNode);
+ assert( pFanin->nRefs > 0 );
+ if ( --pFanin->nRefs == 0 && (!LevelMin || pFanin->Level > LevelMin) )
+ Counter += Aig_NodeDeref_rec( pFanin, LevelMin );
+ // skip the buffer
+ if ( Aig_ObjIsBuf(pNode) )
+ return Counter;
+ assert( Aig_ObjIsNode(pNode) );
+ // consider the second fanin
+ pFanin = Aig_ObjFanin1(pNode);
+ assert( pFanin->nRefs > 0 );
+ if ( --pFanin->nRefs == 0 && (!LevelMin || pFanin->Level > LevelMin) )
+ Counter += Aig_NodeDeref_rec( pFanin, LevelMin );
+ return Counter + 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [References the node's MFFC.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Aig_NodeRef_rec( Aig_Obj_t * pNode, unsigned LevelMin )
+{
+ Aig_Obj_t * pFanin;
+ int Counter = 0;
+ if ( Aig_ObjIsPi(pNode) )
+ return 0;
+ // consider the first fanin
+ pFanin = Aig_ObjFanin0(pNode);
+ if ( pFanin->nRefs++ == 0 && (!LevelMin || pFanin->Level > LevelMin) )
+ Counter += Aig_NodeRef_rec( pFanin, LevelMin );
+ // skip the buffer
+ if ( Aig_ObjIsBuf(pNode) )
+ return Counter;
+ assert( Aig_ObjIsNode(pNode) );
+ // consider the second fanin
+ pFanin = Aig_ObjFanin1(pNode);
+ if ( pFanin->nRefs++ == 0 && (!LevelMin || pFanin->Level > LevelMin) )
+ Counter += Aig_NodeRef_rec( pFanin, LevelMin );
+ return Counter + 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [References the node's MFFC.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Aig_NodeRefLabel_rec( Aig_Man_t * p, Aig_Obj_t * pNode, unsigned LevelMin )
+{
+ Aig_Obj_t * pFanin;
+ int Counter = 0;
+ if ( Aig_ObjIsPi(pNode) )
+ return 0;
+ Aig_ObjSetTravIdCurrent( p, pNode );
+ // consider the first fanin
+ pFanin = Aig_ObjFanin0(pNode);
+ if ( pFanin->nRefs++ == 0 && (!LevelMin || pFanin->Level > LevelMin) )
+ Counter += Aig_NodeRefLabel_rec( p, pFanin, LevelMin );
+ if ( Aig_ObjIsBuf(pNode) )
+ return Counter;
+ assert( Aig_ObjIsNode(pNode) );
+ // consider the second fanin
+ pFanin = Aig_ObjFanin1(pNode);
+ if ( pFanin->nRefs++ == 0 && (!LevelMin || pFanin->Level > LevelMin) )
+ Counter += Aig_NodeRefLabel_rec( p, pFanin, LevelMin );
+ return Counter + 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Collects the internal and boundary nodes in the derefed MFFC.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_NodeMffsSupp_rec( Aig_Man_t * p, Aig_Obj_t * pNode, unsigned LevelMin, Vec_Ptr_t * vSupp, int fTopmost, Aig_Obj_t * pObjSkip )
+{
+ // skip visited nodes
+ if ( Aig_ObjIsTravIdCurrent(p, pNode) )
+ return;
+ Aig_ObjSetTravIdCurrent(p, pNode);
+ // add to the new support nodes
+ if ( !fTopmost && pNode != pObjSkip && (Aig_ObjIsPi(pNode) || pNode->nRefs > 0 || pNode->Level <= LevelMin) )
+ {
+ if ( vSupp ) Vec_PtrPush( vSupp, pNode );
+ return;
+ }
+ assert( Aig_ObjIsNode(pNode) );
+ // recur on the children
+ Aig_NodeMffsSupp_rec( p, Aig_ObjFanin0(pNode), LevelMin, vSupp, 0, pObjSkip );
+ Aig_NodeMffsSupp_rec( p, Aig_ObjFanin1(pNode), LevelMin, vSupp, 0, pObjSkip );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Collects the support of depth-limited MFFC.]
+
+ Description [Returns the number of internal nodes in the MFFC.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Aig_NodeMffsSupp( Aig_Man_t * p, Aig_Obj_t * pNode, int LevelMin, Vec_Ptr_t * vSupp )
+{
+ int ConeSize1, ConeSize2;
+ assert( !Aig_IsComplement(pNode) );
+ assert( Aig_ObjIsNode(pNode) );
+ if ( vSupp ) Vec_PtrClear( vSupp );
+ Aig_ManIncrementTravId( p );
+ ConeSize1 = Aig_NodeDeref_rec( pNode, LevelMin );
+ Aig_NodeMffsSupp_rec( p, pNode, LevelMin, vSupp, 1, NULL );
+ ConeSize2 = Aig_NodeRef_rec( pNode, LevelMin );
+ assert( ConeSize1 == ConeSize2 );
+ assert( ConeSize1 > 0 );
+ return ConeSize1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Labels the nodes in the MFFC.]
+
+ Description [Returns the number of internal nodes in the MFFC.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Aig_NodeMffsLabel( Aig_Man_t * p, Aig_Obj_t * pNode )
+{
+ int ConeSize1, ConeSize2;
+ assert( !Aig_IsComplement(pNode) );
+ assert( Aig_ObjIsNode(pNode) );
+ Aig_ManIncrementTravId( p );
+ ConeSize1 = Aig_NodeDeref_rec( pNode, 0 );
+ ConeSize2 = Aig_NodeRefLabel_rec( p, pNode, 0 );
+ assert( ConeSize1 == ConeSize2 );
+ assert( ConeSize1 > 0 );
+ return ConeSize1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Labels the nodes in the MFFC.]
+
+ Description [Returns the number of internal nodes in the MFFC.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Aig_NodeMffsLabelCut( Aig_Man_t * p, Aig_Obj_t * pNode, Vec_Ptr_t * vLeaves )
+{
+ Aig_Obj_t * pObj;
+ int i, ConeSize1, ConeSize2;
+ assert( !Aig_IsComplement(pNode) );
+ assert( Aig_ObjIsNode(pNode) );
+ Aig_ManIncrementTravId( p );
+ Vec_PtrForEachEntry( vLeaves, pObj, i )
+ pObj->nRefs++;
+ ConeSize1 = Aig_NodeDeref_rec( pNode, 0 );
+ ConeSize2 = Aig_NodeRefLabel_rec( p, pNode, 0 );
+ Vec_PtrForEachEntry( vLeaves, pObj, i )
+ pObj->nRefs--;
+ assert( ConeSize1 == ConeSize2 );
+ assert( ConeSize1 > 0 );
+ return ConeSize1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Expands the cut by adding the most closely related node.]
+
+ Description [Returns 1 if the cut exists.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Aig_NodeMffsExtendCut( Aig_Man_t * p, Aig_Obj_t * pNode, Vec_Ptr_t * vLeaves, Vec_Ptr_t * vResult )
+{
+ Aig_Obj_t * pObj, * pLeafBest;
+ int i, LevelMax, ConeSize1, ConeSize2, ConeCur1, ConeCur2, ConeBest;
+ // dereference the current cut
+ LevelMax = 0;
+ Vec_PtrForEachEntry( vLeaves, pObj, i )
+ LevelMax = AIG_MAX( LevelMax, (int)pObj->Level );
+ if ( LevelMax == 0 )
+ return 0;
+ // dereference the cut
+ ConeSize1 = Aig_NodeDeref_rec( pNode, 0 );
+ // try expanding each node in the boundary
+ ConeBest = AIG_INFINITY;
+ pLeafBest = NULL;
+ Vec_PtrForEachEntry( vLeaves, pObj, i )
+ {
+ if ( (int)pObj->Level != LevelMax )
+ continue;
+ ConeCur1 = Aig_NodeDeref_rec( pObj, 0 );
+ if ( ConeBest > ConeCur1 )
+ {
+ ConeBest = ConeCur1;
+ pLeafBest = pObj;
+ }
+ ConeCur2 = Aig_NodeRef_rec( pObj, 0 );
+ assert( ConeCur1 == ConeCur2 );
+ }
+ assert( pLeafBest != NULL );
+ assert( Aig_ObjIsNode(pLeafBest) );
+ // deref the best leaf
+ ConeCur1 = Aig_NodeDeref_rec( pLeafBest, 0 );
+ // collect the cut nodes
+ Vec_PtrClear( vResult );
+ Aig_ManIncrementTravId( p );
+ Aig_NodeMffsSupp_rec( p, pNode, 0, vResult, 1, pLeafBest );
+ // ref the nodes
+ ConeCur2 = Aig_NodeRef_rec( pLeafBest, 0 );
+ assert( ConeCur1 == ConeCur2 );
+ // ref the original node
+ ConeSize2 = Aig_NodeRef_rec( pNode, 0 );
+ assert( ConeSize1 == ConeSize2 );
+ return 1;
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/aig/aigObj.c b/src/aig/aig/aigObj.c
new file mode 100644
index 00000000..8323249e
--- /dev/null
+++ b/src/aig/aig/aigObj.c
@@ -0,0 +1,416 @@
+/**CFile****************************************************************
+
+ FileName [aigObj.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [AIG package.]
+
+ Synopsis [Adding/removing objects.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - April 28, 2007.]
+
+ Revision [$Id: aigObj.c,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "aig.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Creates primary input.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Obj_t * Aig_ObjCreatePi( Aig_Man_t * p )
+{
+ Aig_Obj_t * pObj;
+ pObj = Aig_ManFetchMemory( p );
+ pObj->Type = AIG_OBJ_PI;
+ Vec_PtrPush( p->vPis, pObj );
+ p->nObjs[AIG_OBJ_PI]++;
+ return pObj;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates primary output with the given driver.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Obj_t * Aig_ObjCreatePo( Aig_Man_t * p, Aig_Obj_t * pDriver )
+{
+ Aig_Obj_t * pObj;
+ pObj = Aig_ManFetchMemory( p );
+ pObj->Type = AIG_OBJ_PO;
+ Vec_PtrPush( p->vPos, pObj );
+ Aig_ObjConnect( p, pObj, pDriver, NULL );
+ p->nObjs[AIG_OBJ_PO]++;
+ return pObj;
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Create the new node assuming it does not exist.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Obj_t * Aig_ObjCreate( Aig_Man_t * p, Aig_Obj_t * pGhost )
+{
+ Aig_Obj_t * pObj;
+ assert( !Aig_IsComplement(pGhost) );
+ assert( Aig_ObjIsHash(pGhost) );
+ assert( pGhost == &p->Ghost );
+ // get memory for the new object
+ pObj = Aig_ManFetchMemory( p );
+ pObj->Type = pGhost->Type;
+ // add connections
+ Aig_ObjConnect( p, pObj, pGhost->pFanin0, pGhost->pFanin1 );
+ // update node counters of the manager
+ p->nObjs[Aig_ObjType(pObj)]++;
+ assert( pObj->pData == NULL );
+ return pObj;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Connect the object to the fanin.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ObjConnect( Aig_Man_t * p, Aig_Obj_t * pObj, Aig_Obj_t * pFan0, Aig_Obj_t * pFan1 )
+{
+ assert( !Aig_IsComplement(pObj) );
+ assert( !Aig_ObjIsPi(pObj) );
+ // add the first fanin
+ pObj->pFanin0 = pFan0;
+ pObj->pFanin1 = pFan1;
+ // increment references of the fanins and add their fanouts
+ if ( pFan0 != NULL )
+ {
+ assert( Aig_ObjFanin0(pObj)->Type > 0 );
+ Aig_ObjRef( Aig_ObjFanin0(pObj) );
+ if ( p->pFanData )
+ Aig_ObjAddFanout( p, Aig_ObjFanin0(pObj), pObj );
+ }
+ if ( pFan1 != NULL )
+ {
+ assert( Aig_ObjFanin1(pObj)->Type > 0 );
+ Aig_ObjRef( Aig_ObjFanin1(pObj) );
+ if ( p->pFanData )
+ Aig_ObjAddFanout( p, Aig_ObjFanin1(pObj), pObj );
+ }
+ // set level and phase
+ pObj->Level = Aig_ObjLevelNew( pObj );
+ pObj->fPhase = Aig_ObjPhaseReal(pFan0) & Aig_ObjPhaseReal(pFan1);
+ // add the node to the structural hash table
+ if ( Aig_ObjIsHash(pObj) )
+ Aig_TableInsert( p, pObj );
+ // add the node to the dynamically updated topological order
+// if ( p->pOrderData && Aig_ObjIsNode(pObj) )
+// Aig_ObjOrderInsert( p, pObj->Id );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Disconnects the object from the fanins.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ObjDisconnect( Aig_Man_t * p, Aig_Obj_t * pObj )
+{
+ assert( !Aig_IsComplement(pObj) );
+ // remove connections
+ if ( pObj->pFanin0 != NULL )
+ {
+ if ( p->pFanData )
+ Aig_ObjRemoveFanout( p, Aig_ObjFanin0(pObj), pObj );
+ Aig_ObjDeref(Aig_ObjFanin0(pObj));
+ }
+ if ( pObj->pFanin1 != NULL )
+ {
+ if ( p->pFanData )
+ Aig_ObjRemoveFanout( p, Aig_ObjFanin1(pObj), pObj );
+ Aig_ObjDeref(Aig_ObjFanin1(pObj));
+ }
+ // remove the node from the structural hash table
+ if ( Aig_ObjIsHash(pObj) )
+ Aig_TableDelete( p, pObj );
+ // add the first fanin
+ pObj->pFanin0 = NULL;
+ pObj->pFanin1 = NULL;
+ // remove the node from the dynamically updated topological order
+// if ( p->pOrderData && Aig_ObjIsNode(pObj) )
+// Aig_ObjOrderRemove( p, pObj->Id );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Deletes the node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ObjDelete( Aig_Man_t * p, Aig_Obj_t * pObj )
+{
+ assert( !Aig_IsComplement(pObj) );
+ assert( !Aig_ObjIsTerm(pObj) );
+ assert( Aig_ObjRefs(pObj) == 0 );
+ if ( p->pFanData && Aig_ObjIsBuf(pObj) )
+ Vec_PtrRemove( p->vBufs, pObj );
+ p->nObjs[pObj->Type]--;
+ Vec_PtrWriteEntry( p->vObjs, pObj->Id, NULL );
+ Aig_ManRecycleMemory( p, pObj );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Deletes the MFFC of the node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ObjDelete_rec( Aig_Man_t * p, Aig_Obj_t * pObj, int fFreeTop )
+{
+ Aig_Obj_t * pFanin0, * pFanin1;
+ assert( !Aig_IsComplement(pObj) );
+ if ( Aig_ObjIsConst1(pObj) || Aig_ObjIsPi(pObj) )
+ return;
+ assert( !Aig_ObjIsPo(pObj) );
+ pFanin0 = Aig_ObjFanin0(pObj);
+ pFanin1 = Aig_ObjFanin1(pObj);
+ Aig_ObjDisconnect( p, pObj );
+ if ( fFreeTop )
+ Aig_ObjDelete( p, pObj );
+ if ( pFanin0 && !Aig_ObjIsNone(pFanin0) && Aig_ObjRefs(pFanin0) == 0 )
+ Aig_ObjDelete_rec( p, pFanin0, 1 );
+ if ( pFanin1 && !Aig_ObjIsNone(pFanin1) && Aig_ObjRefs(pFanin1) == 0 )
+ Aig_ObjDelete_rec( p, pFanin1, 1 );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Replaces the first fanin of the node by the new fanin.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ObjPatchFanin0( Aig_Man_t * p, Aig_Obj_t * pObj, Aig_Obj_t * pFaninNew )
+{
+ Aig_Obj_t * pFaninOld;
+ assert( !Aig_IsComplement(pObj) );
+ assert( Aig_ObjIsPo(pObj) );
+ pFaninOld = Aig_ObjFanin0(pObj);
+ // decrement ref and remove fanout
+ if ( p->pFanData )
+ Aig_ObjRemoveFanout( p, pFaninOld, pObj );
+ Aig_ObjDeref( pFaninOld );
+ // update the fanin
+ pObj->pFanin0 = pFaninNew;
+ // increment ref and add fanout
+ if ( p->pFanData )
+ Aig_ObjAddFanout( p, Aig_ObjFanin0(pObj), pObj );
+ Aig_ObjRef( Aig_ObjFanin0(pObj) );
+ // get rid of old fanin
+ if ( !Aig_ObjIsPi(pFaninOld) && !Aig_ObjIsConst1(pFaninOld) && Aig_ObjRefs(pFaninOld) == 0 )
+ Aig_ObjDelete_rec( p, pFaninOld, 1 );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Replaces node with a buffer fanin by a node without them.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_NodeFixBufferFanins( Aig_Man_t * p, Aig_Obj_t * pObj, int fNodesOnly, int fUpdateLevel )
+{
+ Aig_Obj_t * pFanReal0, * pFanReal1, * pResult;
+ p->nBufFixes++;
+ if ( Aig_ObjIsPo(pObj) )
+ {
+ assert( Aig_ObjIsBuf(Aig_ObjFanin0(pObj)) );
+ pFanReal0 = Aig_ObjReal_rec( Aig_ObjChild0(pObj) );
+ assert( Aig_ObjPhaseReal(Aig_ObjChild0(pObj)) == Aig_ObjPhaseReal(pFanReal0) );
+ Aig_ObjPatchFanin0( p, pObj, pFanReal0 );
+ return;
+ }
+ assert( Aig_ObjIsNode(pObj) );
+ assert( Aig_ObjIsBuf(Aig_ObjFanin0(pObj)) || Aig_ObjIsBuf(Aig_ObjFanin1(pObj)) );
+ // get the real fanins
+ pFanReal0 = Aig_ObjReal_rec( Aig_ObjChild0(pObj) );
+ pFanReal1 = Aig_ObjReal_rec( Aig_ObjChild1(pObj) );
+ // get the new node
+ if ( Aig_ObjIsNode(pObj) )
+ pResult = Aig_Oper( p, pFanReal0, pFanReal1, Aig_ObjType(pObj) );
+// else if ( Aig_ObjIsLatch(pObj) )
+// pResult = Aig_Latch( p, pFanReal0, Aig_ObjInit(pObj) );
+ else
+ assert( 0 );
+ // replace the node with buffer by the node without buffer
+ Aig_ObjReplace( p, pObj, pResult, fNodesOnly, fUpdateLevel );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns the number of dangling nodes removed.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Aig_ManPropagateBuffers( Aig_Man_t * p, int fNodesOnly, int fUpdateLevel )
+{
+ Aig_Obj_t * pObj;
+ int nSteps;
+ assert( p->pFanData );
+ for ( nSteps = 0; Vec_PtrSize(p->vBufs) > 0; nSteps++ )
+ {
+ // get the node with a buffer fanin
+ for ( pObj = Vec_PtrEntryLast(p->vBufs); Aig_ObjIsBuf(pObj); pObj = Aig_ObjFanout0(p, pObj) );
+ // replace this node by a node without buffer
+ Aig_NodeFixBufferFanins( p, pObj, fNodesOnly, fUpdateLevel );
+ // stop if a cycle occured
+ if ( nSteps > 1000000 )
+ {
+ printf( "Error: A cycle is encountered while propagating buffers.\n" );
+ break;
+ }
+ }
+ return nSteps;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Replaces one object by another.]
+
+ Description [The new object (pObjNew) should be used instead of the old
+ object (pObjOld). If the new object is complemented or used, the buffer
+ is added and the new object remains in the manager; otherwise, the new
+ object is deleted.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ObjReplace( Aig_Man_t * p, Aig_Obj_t * pObjOld, Aig_Obj_t * pObjNew, int fNodesOnly, int fUpdateLevel )
+{
+ Aig_Obj_t * pObjNewR = Aig_Regular(pObjNew);
+ // the object to be replaced cannot be complemented
+ assert( !Aig_IsComplement(pObjOld) );
+ // the object to be replaced cannot be a terminal
+ assert( !Aig_ObjIsPi(pObjOld) && !Aig_ObjIsPo(pObjOld) );
+ // the object to be used cannot be a buffer or a PO
+ assert( !Aig_ObjIsBuf(pObjNewR) && !Aig_ObjIsPo(pObjNewR) );
+ // the object cannot be the same
+ assert( pObjOld != pObjNewR );
+ // make sure object is not pointing to itself
+ assert( pObjOld != Aig_ObjFanin0(pObjNewR) );
+ assert( pObjOld != Aig_ObjFanin1(pObjNewR) );
+ // recursively delete the old node - but leave the object there
+ pObjNewR->nRefs++;
+ Aig_ObjDelete_rec( p, pObjOld, 0 );
+ pObjNewR->nRefs--;
+ // if the new object is complemented or already used, create a buffer
+ p->nObjs[pObjOld->Type]--;
+ if ( Aig_IsComplement(pObjNew) || Aig_ObjRefs(pObjNew) > 0 || (fNodesOnly && !Aig_ObjIsNode(pObjNew)) )
+ {
+ pObjOld->Type = AIG_OBJ_BUF;
+ Aig_ObjConnect( p, pObjOld, pObjNew, NULL );
+ p->nBufReplaces++;
+ }
+ else
+ {
+ Aig_Obj_t * pFanin0 = pObjNew->pFanin0;
+ Aig_Obj_t * pFanin1 = pObjNew->pFanin1;
+ int LevelOld = pObjOld->Level;
+ pObjOld->Type = pObjNew->Type;
+ Aig_ObjDisconnect( p, pObjNew );
+ Aig_ObjConnect( p, pObjOld, pFanin0, pFanin1 );
+ // delete the new object
+ Aig_ObjDelete( p, pObjNew );
+ // update levels
+ if ( p->pFanData )
+ {
+ pObjOld->Level = LevelOld;
+ Aig_ManUpdateLevel( p, pObjOld );
+ }
+ if ( fUpdateLevel )
+ {
+ Aig_ObjClearReverseLevel( p, pObjOld );
+ Aig_ManUpdateReverseLevel( p, pObjOld );
+ }
+ }
+ p->nObjs[pObjOld->Type]++;
+ // store buffers if fanout is allocated
+ if ( p->pFanData && Aig_ObjIsBuf(pObjOld) )
+ {
+ Vec_PtrPush( p->vBufs, pObjOld );
+ p->nBufMax = AIG_MAX( p->nBufMax, Vec_PtrSize(p->vBufs) );
+ Aig_ManPropagateBuffers( p, fNodesOnly, fUpdateLevel );
+ }
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/aig/aigOper.c b/src/aig/aig/aigOper.c
new file mode 100644
index 00000000..66a6dce1
--- /dev/null
+++ b/src/aig/aig/aigOper.c
@@ -0,0 +1,532 @@
+/**CFile****************************************************************
+
+ FileName [aigOper.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [AIG package.]
+
+ Synopsis [AIG operations.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - April 28, 2007.]
+
+ Revision [$Id: aigOper.c,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "aig.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+// procedure to detect an EXOR gate
+static inline int Aig_ObjIsExorType( Aig_Obj_t * p0, Aig_Obj_t * p1, Aig_Obj_t ** ppFan0, Aig_Obj_t ** ppFan1 )
+{
+ if ( !Aig_IsComplement(p0) || !Aig_IsComplement(p1) )
+ return 0;
+ p0 = Aig_Regular(p0);
+ p1 = Aig_Regular(p1);
+ if ( !Aig_ObjIsAnd(p0) || !Aig_ObjIsAnd(p1) )
+ return 0;
+ if ( Aig_ObjFanin0(p0) != Aig_ObjFanin0(p1) || Aig_ObjFanin1(p0) != Aig_ObjFanin1(p1) )
+ return 0;
+ if ( Aig_ObjFaninC0(p0) == Aig_ObjFaninC0(p1) || Aig_ObjFaninC1(p0) == Aig_ObjFaninC1(p1) )
+ return 0;
+ *ppFan0 = Aig_ObjChild0(p0);
+ *ppFan1 = Aig_ObjChild1(p0);
+ return 1;
+}
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Returns i-th elementary variable.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Obj_t * Aig_IthVar( Aig_Man_t * p, int i )
+{
+ int v;
+ for ( v = Aig_ManPiNum(p); v <= i; v++ )
+ Aig_ObjCreatePi( p );
+ assert( i < Vec_PtrSize(p->vPis) );
+ return Aig_ManPi( p, i );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Perform one operation.]
+
+ Description [The argument nodes can be complemented.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Obj_t * Aig_Oper( Aig_Man_t * p, Aig_Obj_t * p0, Aig_Obj_t * p1, Aig_Type_t Type )
+{
+ if ( Type == AIG_OBJ_AND )
+ return Aig_And( p, p0, p1 );
+ if ( Type == AIG_OBJ_EXOR )
+ return Aig_Exor( p, p0, p1 );
+ assert( 0 );
+ return NULL;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates the canonical form of the node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Obj_t * Aig_CanonPair_rec( Aig_Man_t * p, Aig_Obj_t * pGhost )
+{
+ Aig_Obj_t * pResult, * pLat0, * pLat1;
+ int fCompl0, fCompl1;
+ Aig_Type_t Type;
+ assert( Aig_ObjIsNode(pGhost) );
+ // consider the case when the pair is canonical
+ if ( !Aig_ObjIsLatch(Aig_ObjFanin0(pGhost)) || !Aig_ObjIsLatch(Aig_ObjFanin1(pGhost)) )
+ {
+ if ( (pResult = Aig_TableLookup( p, pGhost )) )
+ return pResult;
+ return Aig_ObjCreate( p, pGhost );
+ }
+ /// remember the latches
+ pLat0 = Aig_ObjFanin0(pGhost);
+ pLat1 = Aig_ObjFanin1(pGhost);
+ // remember type and compls
+ Type = Aig_ObjType(pGhost);
+ fCompl0 = Aig_ObjFaninC0(pGhost);
+ fCompl1 = Aig_ObjFaninC1(pGhost);
+ // call recursively
+ pResult = Aig_Oper( p, Aig_NotCond(Aig_ObjChild0(pLat0), fCompl0), Aig_NotCond(Aig_ObjChild0(pLat1), fCompl1), Type );
+ // build latch on top of this
+ return Aig_Latch( p, pResult, (Type == AIG_OBJ_AND)? fCompl0 & fCompl1 : fCompl0 ^ fCompl1 );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs canonicization step.]
+
+ Description [The argument nodes can be complemented.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Obj_t * Aig_And( Aig_Man_t * p, Aig_Obj_t * p0, Aig_Obj_t * p1 )
+{
+ Aig_Obj_t * pGhost, * pResult;
+// Aig_Obj_t * pFan0, * pFan1;
+ // check trivial cases
+ if ( p0 == p1 )
+ return p0;
+ if ( p0 == Aig_Not(p1) )
+ return Aig_Not(p->pConst1);
+ if ( Aig_Regular(p0) == p->pConst1 )
+ return p0 == p->pConst1 ? p1 : Aig_Not(p->pConst1);
+ if ( Aig_Regular(p1) == p->pConst1 )
+ return p1 == p->pConst1 ? p0 : Aig_Not(p->pConst1);
+ // check not so trivial cases
+ if ( p->fAddStrash && (Aig_ObjIsNode(Aig_Regular(p0)) || Aig_ObjIsNode(Aig_Regular(p1))) )
+ { // http://fmv.jku.at/papers/BrummayerBiere-MEMICS06.pdf
+ Aig_Obj_t * pFanA, * pFanB, * pFanC, * pFanD;
+ pFanA = Aig_ObjChild0(Aig_Regular(p0));
+ pFanB = Aig_ObjChild1(Aig_Regular(p0));
+ pFanC = Aig_ObjChild0(Aig_Regular(p1));
+ pFanD = Aig_ObjChild1(Aig_Regular(p1));
+ if ( Aig_IsComplement(p0) )
+ {
+ if ( pFanA == Aig_Not(p1) || pFanB == Aig_Not(p1) )
+ return p1;
+ if ( pFanB == p1 )
+ return Aig_And( p, Aig_Not(pFanA), pFanB );
+ if ( pFanA == p1 )
+ return Aig_And( p, Aig_Not(pFanB), pFanA );
+ }
+ else
+ {
+ if ( pFanA == Aig_Not(p1) || pFanB == Aig_Not(p1) )
+ return Aig_Not(p->pConst1);
+ if ( pFanA == p1 || pFanB == p1 )
+ return p0;
+ }
+ if ( Aig_IsComplement(p1) )
+ {
+ if ( pFanC == Aig_Not(p0) || pFanD == Aig_Not(p0) )
+ return p0;
+ if ( pFanD == p0 )
+ return Aig_And( p, Aig_Not(pFanC), pFanD );
+ if ( pFanC == p0 )
+ return Aig_And( p, Aig_Not(pFanD), pFanC );
+ }
+ else
+ {
+ if ( pFanC == Aig_Not(p0) || pFanD == Aig_Not(p0) )
+ return Aig_Not(p->pConst1);
+ if ( pFanC == p0 || pFanD == p0 )
+ return p1;
+ }
+ if ( !Aig_IsComplement(p0) && !Aig_IsComplement(p1) )
+ {
+ if ( pFanA == Aig_Not(pFanC) || pFanA == Aig_Not(pFanD) || pFanB == Aig_Not(pFanC) || pFanB == Aig_Not(pFanD) )
+ return Aig_Not(p->pConst1);
+ if ( pFanA == pFanC || pFanB == pFanC )
+ return Aig_And( p, p0, pFanD );
+ if ( pFanB == pFanC || pFanB == pFanD )
+ return Aig_And( p, pFanA, p1 );
+ if ( pFanA == pFanD || pFanB == pFanD )
+ return Aig_And( p, p0, pFanC );
+ if ( pFanA == pFanC || pFanA == pFanD )
+ return Aig_And( p, pFanB, p1 );
+ }
+ else if ( Aig_IsComplement(p0) && !Aig_IsComplement(p1) )
+ {
+ if ( pFanA == Aig_Not(pFanC) || pFanA == Aig_Not(pFanD) || pFanB == Aig_Not(pFanC) || pFanB == Aig_Not(pFanD) )
+ return p1;
+ if ( pFanB == pFanC || pFanB == pFanD )
+ return Aig_And( p, Aig_Not(pFanA), p1 );
+ if ( pFanA == pFanC || pFanA == pFanD )
+ return Aig_And( p, Aig_Not(pFanB), p1 );
+ }
+ else if ( !Aig_IsComplement(p0) && Aig_IsComplement(p1) )
+ {
+ if ( pFanC == Aig_Not(pFanA) || pFanC == Aig_Not(pFanB) || pFanD == Aig_Not(pFanA) || pFanD == Aig_Not(pFanB) )
+ return p0;
+ if ( pFanD == pFanA || pFanD == pFanB )
+ return Aig_And( p, Aig_Not(pFanC), p0 );
+ if ( pFanC == pFanA || pFanC == pFanB )
+ return Aig_And( p, Aig_Not(pFanD), p0 );
+ }
+ else // if ( Aig_IsComplement(p0) && Aig_IsComplement(p1) )
+ {
+ if ( pFanA == pFanD && pFanB == Aig_Not(pFanC) )
+ return Aig_Not(pFanA);
+ if ( pFanB == pFanC && pFanA == Aig_Not(pFanD) )
+ return Aig_Not(pFanB);
+ if ( pFanA == pFanC && pFanB == Aig_Not(pFanD) )
+ return Aig_Not(pFanA);
+ if ( pFanB == pFanD && pFanA == Aig_Not(pFanC) )
+ return Aig_Not(pFanB);
+ }
+ }
+ // check if it can be an EXOR gate
+// if ( Aig_ObjIsExorType( p0, p1, &pFan0, &pFan1 ) )
+// return Aig_Exor( p, pFan0, pFan1 );
+ pGhost = Aig_ObjCreateGhost( p, p0, p1, AIG_OBJ_AND );
+ pResult = Aig_CanonPair_rec( p, pGhost );
+ return pResult;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates the canonical form of the node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Obj_t * Aig_Latch( Aig_Man_t * p, Aig_Obj_t * pObj, int fInitOne )
+{
+ Aig_Obj_t * pGhost, * pResult;
+ pGhost = Aig_ObjCreateGhost( p, Aig_NotCond(pObj, fInitOne), NULL, AIG_OBJ_LATCH );
+ pResult = Aig_TableLookup( p, pGhost );
+ if ( pResult == NULL )
+ pResult = Aig_ObjCreate( p, pGhost );
+ return Aig_NotCond( pResult, fInitOne );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs canonicization step.]
+
+ Description [The argument nodes can be complemented.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Obj_t * Aig_Exor( Aig_Man_t * p, Aig_Obj_t * p0, Aig_Obj_t * p1 )
+{
+/*
+ Aig_Obj_t * pGhost, * pResult;
+ // check trivial cases
+ if ( p0 == p1 )
+ return Aig_Not(p->pConst1);
+ if ( p0 == Aig_Not(p1) )
+ return p->pConst1;
+ if ( Aig_Regular(p0) == p->pConst1 )
+ return Aig_NotCond( p1, p0 == p->pConst1 );
+ if ( Aig_Regular(p1) == p->pConst1 )
+ return Aig_NotCond( p0, p1 == p->pConst1 );
+ // check the table
+ pGhost = Aig_ObjCreateGhost( p, p0, p1, AIG_OBJ_EXOR );
+ if ( pResult = Aig_TableLookup( p, pGhost ) )
+ return pResult;
+ return Aig_ObjCreate( p, pGhost );
+*/
+ return Aig_Or( p, Aig_And(p, p0, Aig_Not(p1)), Aig_And(p, Aig_Not(p0), p1) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Implements Boolean OR.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Obj_t * Aig_Or( Aig_Man_t * p, Aig_Obj_t * p0, Aig_Obj_t * p1 )
+{
+ return Aig_Not( Aig_And( p, Aig_Not(p0), Aig_Not(p1) ) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Implements ITE operation.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Obj_t * Aig_Mux( Aig_Man_t * p, Aig_Obj_t * pC, Aig_Obj_t * p1, Aig_Obj_t * p0 )
+{
+/*
+ Aig_Obj_t * pTempA1, * pTempA2, * pTempB1, * pTempB2, * pTemp;
+ int Count0, Count1;
+ // consider trivial cases
+ if ( p0 == Aig_Not(p1) )
+ return Aig_Exor( p, pC, p0 );
+ // other cases can be added
+ // implement the first MUX (F = C * x1 + C' * x0)
+
+ // check for constants here!!!
+
+ pTempA1 = Aig_TableLookup( p, Aig_ObjCreateGhost(p, pC, p1, AIG_OBJ_AND) );
+ pTempA2 = Aig_TableLookup( p, Aig_ObjCreateGhost(p, Aig_Not(pC), p0, AIG_OBJ_AND) );
+ if ( pTempA1 && pTempA2 )
+ {
+ pTemp = Aig_TableLookup( p, Aig_ObjCreateGhost(p, Aig_Not(pTempA1), Aig_Not(pTempA2), AIG_OBJ_AND) );
+ if ( pTemp ) return Aig_Not(pTemp);
+ }
+ Count0 = (pTempA1 != NULL) + (pTempA2 != NULL);
+ // implement the second MUX (F' = C * x1' + C' * x0')
+ pTempB1 = Aig_TableLookup( p, Aig_ObjCreateGhost(p, pC, Aig_Not(p1), AIG_OBJ_AND) );
+ pTempB2 = Aig_TableLookup( p, Aig_ObjCreateGhost(p, Aig_Not(pC), Aig_Not(p0), AIG_OBJ_AND) );
+ if ( pTempB1 && pTempB2 )
+ {
+ pTemp = Aig_TableLookup( p, Aig_ObjCreateGhost(p, Aig_Not(pTempB1), Aig_Not(pTempB2), AIG_OBJ_AND) );
+ if ( pTemp ) return pTemp;
+ }
+ Count1 = (pTempB1 != NULL) + (pTempB2 != NULL);
+ // compare and decide which one to implement
+ if ( Count0 >= Count1 )
+ {
+ pTempA1 = pTempA1? pTempA1 : Aig_And(p, pC, p1);
+ pTempA2 = pTempA2? pTempA2 : Aig_And(p, Aig_Not(pC), p0);
+ return Aig_Or( p, pTempA1, pTempA2 );
+ }
+ pTempB1 = pTempB1? pTempB1 : Aig_And(p, pC, Aig_Not(p1));
+ pTempB2 = pTempB2? pTempB2 : Aig_And(p, Aig_Not(pC), Aig_Not(p0));
+ return Aig_Not( Aig_Or( p, pTempB1, pTempB2 ) );
+*/
+ return Aig_Or( p, Aig_And(p, pC, p1), Aig_And(p, Aig_Not(pC), p0) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Implements ITE operation.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Obj_t * Aig_Maj( Aig_Man_t * p, Aig_Obj_t * pA, Aig_Obj_t * pB, Aig_Obj_t * pC )
+{
+ return Aig_Or( p, Aig_Or(p, Aig_And(p, pA, pB), Aig_And(p, pA, pC)), Aig_And(p, pB, pC) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Constructs the well-balanced tree of gates.]
+
+ Description [Disregards levels and possible logic sharing.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Obj_t * Aig_Multi_rec( Aig_Man_t * p, Aig_Obj_t ** ppObjs, int nObjs, Aig_Type_t Type )
+{
+ Aig_Obj_t * pObj1, * pObj2;
+ if ( nObjs == 1 )
+ return ppObjs[0];
+ pObj1 = Aig_Multi_rec( p, ppObjs, nObjs/2, Type );
+ pObj2 = Aig_Multi_rec( p, ppObjs + nObjs/2, nObjs - nObjs/2, Type );
+ return Aig_Oper( p, pObj1, pObj2, Type );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Old code.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Obj_t * Aig_Multi( Aig_Man_t * p, Aig_Obj_t ** pArgs, int nArgs, Aig_Type_t Type )
+{
+ assert( Type == AIG_OBJ_AND || Type == AIG_OBJ_EXOR );
+ assert( nArgs > 0 );
+ return Aig_Multi_rec( p, pArgs, nArgs, Type );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Implements the miter.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Obj_t * Aig_Miter( Aig_Man_t * p, Vec_Ptr_t * vPairs )
+{
+ int i;
+ assert( vPairs->nSize > 0 );
+ assert( vPairs->nSize % 2 == 0 );
+ for ( i = 0; i < vPairs->nSize; i += 2 )
+ vPairs->pArray[i/2] = Aig_Not( Aig_Exor( p, vPairs->pArray[i], vPairs->pArray[i+1] ) );
+ vPairs->nSize = vPairs->nSize/2;
+ return Aig_Not( Aig_Multi_rec( p, (Aig_Obj_t **)vPairs->pArray, vPairs->nSize, AIG_OBJ_AND ) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Implements the miter.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Obj_t * Aig_MiterTwo( Aig_Man_t * p, Vec_Ptr_t * vNodes1, Vec_Ptr_t * vNodes2 )
+{
+ int i;
+ assert( vNodes1->nSize > 0 && vNodes1->nSize > 0 );
+ assert( vNodes1->nSize == vNodes2->nSize );
+ for ( i = 0; i < vNodes1->nSize; i++ )
+ vNodes1->pArray[i] = Aig_Not( Aig_Exor( p, vNodes1->pArray[i], vNodes2->pArray[i] ) );
+ return Aig_Not( Aig_Multi_rec( p, (Aig_Obj_t **)vNodes1->pArray, vNodes1->nSize, AIG_OBJ_AND ) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates AND function with nVars inputs.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Obj_t * Aig_CreateAnd( Aig_Man_t * p, int nVars )
+{
+ Aig_Obj_t * pFunc;
+ int i;
+ pFunc = Aig_ManConst1( p );
+ for ( i = 0; i < nVars; i++ )
+ pFunc = Aig_And( p, pFunc, Aig_IthVar(p, i) );
+ return pFunc;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates AND function with nVars inputs.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Obj_t * Aig_CreateOr( Aig_Man_t * p, int nVars )
+{
+ Aig_Obj_t * pFunc;
+ int i;
+ pFunc = Aig_ManConst0( p );
+ for ( i = 0; i < nVars; i++ )
+ pFunc = Aig_Or( p, pFunc, Aig_IthVar(p, i) );
+ return pFunc;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates AND function with nVars inputs.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Obj_t * Aig_CreateExor( Aig_Man_t * p, int nVars )
+{
+ Aig_Obj_t * pFunc;
+ int i;
+ pFunc = Aig_ManConst0( p );
+ for ( i = 0; i < nVars; i++ )
+ pFunc = Aig_Exor( p, pFunc, Aig_IthVar(p, i) );
+ return pFunc;
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/aig/aigOrder.c b/src/aig/aig/aigOrder.c
new file mode 100644
index 00000000..62aeca6e
--- /dev/null
+++ b/src/aig/aig/aigOrder.c
@@ -0,0 +1,171 @@
+/**CFile****************************************************************
+
+ FileName [aigOrder.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [AIG package.]
+
+ Synopsis [Dynamically updated topological order.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - April 28, 2007.]
+
+ Revision [$Id: aigOrder.c,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "aig.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Initializes the order datastructure.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ManOrderStart( Aig_Man_t * p )
+{
+ Aig_Obj_t * pObj;
+ int i;
+ assert( Aig_ManBufNum(p) == 0 );
+ // allocate order datastructure
+ assert( p->pOrderData == NULL );
+ p->nOrderAlloc = 2 * Aig_ManObjNumMax(p);
+ if ( p->nOrderAlloc < (1<<12) )
+ p->nOrderAlloc = (1<<12);
+ p->pOrderData = ALLOC( unsigned, 2 * p->nOrderAlloc );
+ memset( p->pOrderData, 0xFF, sizeof(unsigned) * 2 * p->nOrderAlloc );
+ // add the constant node
+ p->pOrderData[0] = p->pOrderData[1] = 0;
+ p->iPrev = p->iNext = 0;
+ // add the internal nodes
+ Aig_ManForEachNode( p, pObj, i )
+ Aig_ObjOrderInsert( p, pObj->Id );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Deletes the order datastructure.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ManOrderStop( Aig_Man_t * p )
+{
+ assert( p->pOrderData );
+ FREE( p->pOrderData );
+ p->nOrderAlloc = 0;
+ p->iPrev = p->iNext = 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Inserts an entry before iNext.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ObjOrderInsert( Aig_Man_t * p, int ObjId )
+{
+ int iPrev;
+ assert( ObjId != 0 );
+ assert( Aig_ObjIsNode( Aig_ManObj(p, ObjId) ) );
+ if ( ObjId >= p->nOrderAlloc )
+ {
+ int nOrderAlloc = 2 * ObjId;
+ p->pOrderData = REALLOC( unsigned, p->pOrderData, 2 * nOrderAlloc );
+ memset( p->pOrderData + 2 * p->nOrderAlloc, 0xFF, sizeof(unsigned) * 2 * (nOrderAlloc - p->nOrderAlloc) );
+ p->nOrderAlloc = nOrderAlloc;
+ }
+ assert( p->pOrderData[2*ObjId] == 0xFFFFFFFF ); // prev
+ assert( p->pOrderData[2*ObjId+1] == 0xFFFFFFFF ); // next
+ iPrev = p->pOrderData[2*p->iNext];
+ assert( p->pOrderData[2*iPrev+1] == (unsigned)p->iNext );
+ p->pOrderData[2*ObjId] = iPrev;
+ p->pOrderData[2*iPrev+1] = ObjId;
+ p->pOrderData[2*p->iNext] = ObjId;
+ p->pOrderData[2*ObjId+1] = p->iNext;
+ p->nAndTotal++;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Removes the entry.]
+
+ Description [If iPrev is removed, it slides backward.
+ If iNext is removed, it slides forward.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ObjOrderRemove( Aig_Man_t * p, int ObjId )
+{
+ int iPrev, iNext;
+ assert( ObjId != 0 );
+ assert( Aig_ObjIsNode( Aig_ManObj(p, ObjId) ) );
+ iPrev = p->pOrderData[2*ObjId];
+ iNext = p->pOrderData[2*ObjId+1];
+ p->pOrderData[2*ObjId] = 0xFFFFFFFF;
+ p->pOrderData[2*ObjId+1] = 0xFFFFFFFF;
+ p->pOrderData[2*iNext] = iPrev;
+ p->pOrderData[2*iPrev+1] = iNext;
+ if ( p->iPrev == ObjId )
+ {
+ p->nAndPrev--;
+ p->iPrev = iPrev;
+ }
+ if ( p->iNext == ObjId )
+ p->iNext = iNext;
+ p->nAndTotal--;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Advances the order forward.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ObjOrderAdvance( Aig_Man_t * p )
+{
+ assert( p->pOrderData );
+ assert( p->pOrderData[2*p->iPrev+1] == (unsigned)p->iNext );
+ p->iPrev = p->iNext;
+ p->nAndPrev++;
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/aig/aigPart.c b/src/aig/aig/aigPart.c
new file mode 100644
index 00000000..de13653c
--- /dev/null
+++ b/src/aig/aig/aigPart.c
@@ -0,0 +1,992 @@
+/**CFile****************************************************************
+
+ FileName [aigPart.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [AIG package.]
+
+ Synopsis [AIG partitioning package.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - April 28, 2007.]
+
+ Revision [$Id: aigPart.c,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "aig.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+typedef struct Part_Man_t_ Part_Man_t;
+struct Part_Man_t_
+{
+ int nChunkSize; // the size of one chunk of memory (~1 Mb)
+ int nStepSize; // the step size in saving memory (~64 bytes)
+ char * pFreeBuf; // the pointer to free memory
+ int nFreeSize; // the size of remaining free memory
+ Vec_Ptr_t * vMemory; // the memory allocated
+ Vec_Ptr_t * vFree; // the vector of free pieces of memory
+};
+
+typedef struct Part_One_t_ Part_One_t;
+struct Part_One_t_
+{
+ int nRefs; // the number of references
+ int nOuts; // the number of outputs
+ int nOutsAlloc; // the array size
+ int pOuts[0]; // the array of outputs
+};
+
+static inline int Part_SizeType( int nSize, int nStepSize ) { return nSize / nStepSize + ((nSize % nStepSize) > 0); }
+static inline char * Part_OneNext( char * pPart ) { return *((char **)pPart); }
+static inline void Part_OneSetNext( char * pPart, char * pNext ) { *((char **)pPart) = pNext; }
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Start the memory manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Part_Man_t * Part_ManStart( int nChunkSize, int nStepSize )
+{
+ Part_Man_t * p;
+ p = ALLOC( Part_Man_t, 1 );
+ memset( p, 0, sizeof(Part_Man_t) );
+ p->nChunkSize = nChunkSize;
+ p->nStepSize = nStepSize;
+ p->vMemory = Vec_PtrAlloc( 1000 );
+ p->vFree = Vec_PtrAlloc( 1000 );
+ return p;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Stops the memory manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Part_ManStop( Part_Man_t * p )
+{
+ void * pMemory;
+ int i;
+ Vec_PtrForEachEntry( p->vMemory, pMemory, i )
+ free( pMemory );
+ Vec_PtrFree( p->vMemory );
+ Vec_PtrFree( p->vFree );
+ free( p );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Fetches the memory entry of the given size.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+char * Part_ManFetch( Part_Man_t * p, int nSize )
+{
+ int Type, nSizeReal;
+ char * pMemory;
+ assert( nSize > 0 );
+ Type = Part_SizeType( nSize, p->nStepSize );
+ Vec_PtrFillExtra( p->vFree, Type + 1, NULL );
+ if ( (pMemory = Vec_PtrEntry( p->vFree, Type )) )
+ {
+ Vec_PtrWriteEntry( p->vFree, Type, Part_OneNext(pMemory) );
+ return pMemory;
+ }
+ nSizeReal = p->nStepSize * Type;
+ if ( p->nFreeSize < nSizeReal )
+ {
+ p->pFreeBuf = ALLOC( char, p->nChunkSize );
+ p->nFreeSize = p->nChunkSize;
+ Vec_PtrPush( p->vMemory, p->pFreeBuf );
+ }
+ assert( p->nFreeSize >= nSizeReal );
+ pMemory = p->pFreeBuf;
+ p->pFreeBuf += nSizeReal;
+ p->nFreeSize -= nSizeReal;
+ return pMemory;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Recycles the memory entry of the given size.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Part_ManRecycle( Part_Man_t * p, char * pMemory, int nSize )
+{
+ int Type;
+ Type = Part_SizeType( nSize, p->nStepSize );
+ Vec_PtrFillExtra( p->vFree, Type + 1, NULL );
+ Part_OneSetNext( pMemory, Vec_PtrEntry(p->vFree, Type) );
+ Vec_PtrWriteEntry( p->vFree, Type, pMemory );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Fetches the memory entry of the given size.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline Part_One_t * Part_ManFetchEntry( Part_Man_t * p, int nWords, int nRefs )
+{
+ Part_One_t * pPart;
+ pPart = (Part_One_t *)Part_ManFetch( p, sizeof(Part_One_t) + sizeof(int) * nWords );
+ pPart->nRefs = nRefs;
+ pPart->nOuts = 0;
+ pPart->nOutsAlloc = nWords;
+ return pPart;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Recycles the memory entry of the given size.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline void Part_ManRecycleEntry( Part_Man_t * p, Part_One_t * pEntry )
+{
+ assert( pEntry->nOuts <= pEntry->nOutsAlloc );
+ assert( pEntry->nOuts >= pEntry->nOutsAlloc/2 );
+ Part_ManRecycle( p, (char *)pEntry, sizeof(Part_One_t) + sizeof(int) * pEntry->nOutsAlloc );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Merges two entries.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Part_One_t * Part_ManMergeEntry( Part_Man_t * pMan, Part_One_t * p1, Part_One_t * p2, int nRefs )
+{
+ Part_One_t * p = Part_ManFetchEntry( pMan, p1->nOuts + p2->nOuts, nRefs );
+ int * pBeg1 = p1->pOuts;
+ int * pBeg2 = p2->pOuts;
+ int * pBeg = p->pOuts;
+ int * pEnd1 = p1->pOuts + p1->nOuts;
+ int * pEnd2 = p2->pOuts + p2->nOuts;
+ while ( pBeg1 < pEnd1 && pBeg2 < pEnd2 )
+ {
+ if ( *pBeg1 == *pBeg2 )
+ *pBeg++ = *pBeg1++, pBeg2++;
+ else if ( *pBeg1 < *pBeg2 )
+ *pBeg++ = *pBeg1++;
+ else
+ *pBeg++ = *pBeg2++;
+ }
+ while ( pBeg1 < pEnd1 )
+ *pBeg++ = *pBeg1++;
+ while ( pBeg2 < pEnd2 )
+ *pBeg++ = *pBeg2++;
+ p->nOuts = pBeg - p->pOuts;
+ assert( p->nOuts <= p->nOutsAlloc );
+ assert( p->nOuts >= p1->nOuts );
+ assert( p->nOuts >= p2->nOuts );
+ return p;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Tranfers the entry.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Vec_Int_t * Part_ManTransferEntry( Part_One_t * p )
+{
+ Vec_Int_t * vSupp;
+ int i;
+ vSupp = Vec_IntAlloc( p->nOuts );
+ for ( i = 0; i < p->nOuts; i++ )
+ Vec_IntPush( vSupp, p->pOuts[i] );
+ return vSupp;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes supports of the POs in the multi-output AIG.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Vec_Ptr_t * Aig_ManSupports( Aig_Man_t * pMan )
+{
+ Vec_Ptr_t * vSupports;
+ Vec_Int_t * vSupp;
+ Part_Man_t * p;
+ Part_One_t * pPart0, * pPart1;
+ Aig_Obj_t * pObj;
+ int i;
+ // set the number of PIs/POs
+ Aig_ManForEachPi( pMan, pObj, i )
+ pObj->pNext = (Aig_Obj_t *)(long)i;
+ Aig_ManForEachPo( pMan, pObj, i )
+ pObj->pNext = (Aig_Obj_t *)(long)i;
+ // start the support computation manager
+ p = Part_ManStart( 1 << 20, 1 << 6 );
+ // consider objects in the topological order
+ vSupports = Vec_PtrAlloc( Aig_ManPoNum(pMan) );
+ Aig_ManCleanData(pMan);
+ Aig_ManForEachObj( pMan, pObj, i )
+ {
+ if ( Aig_ObjIsNode(pObj) )
+ {
+ pPart0 = Aig_ObjFanin0(pObj)->pData;
+ pPart1 = Aig_ObjFanin1(pObj)->pData;
+ pObj->pData = Part_ManMergeEntry( p, pPart0, pPart1, pObj->nRefs );
+ assert( pPart0->nRefs > 0 );
+ if ( --pPart0->nRefs == 0 )
+ Part_ManRecycleEntry( p, pPart0 );
+ assert( pPart1->nRefs > 0 );
+ if ( --pPart1->nRefs == 0 )
+ Part_ManRecycleEntry( p, pPart1 );
+ continue;
+ }
+ if ( Aig_ObjIsPo(pObj) )
+ {
+ pPart0 = Aig_ObjFanin0(pObj)->pData;
+ vSupp = Part_ManTransferEntry(pPart0);
+ Vec_IntPush( vSupp, (int)(long)pObj->pNext );
+ Vec_PtrPush( vSupports, vSupp );
+ assert( pPart0->nRefs > 0 );
+ if ( --pPart0->nRefs == 0 )
+ Part_ManRecycleEntry( p, pPart0 );
+ continue;
+ }
+ if ( Aig_ObjIsPi(pObj) )
+ {
+ if ( pObj->nRefs )
+ {
+ pPart0 = Part_ManFetchEntry( p, 1, pObj->nRefs );
+ pPart0->pOuts[ pPart0->nOuts++ ] = (int)(long)pObj->pNext;
+ pObj->pData = pPart0;
+ }
+ continue;
+ }
+ if ( Aig_ObjIsConst1(pObj) )
+ {
+ if ( pObj->nRefs )
+ pObj->pData = Part_ManFetchEntry( p, 0, pObj->nRefs );
+ continue;
+ }
+ assert( 0 );
+ }
+//printf( "Memory usage = %d Mb.\n", Vec_PtrSize(p->vMemory) * p->nChunkSize / (1<<20) );
+ Part_ManStop( p );
+ // sort supports by size
+ Vec_VecSort( (Vec_Vec_t *)vSupports, 1 );
+ // clear the number of PIs/POs
+ Aig_ManForEachPi( pMan, pObj, i )
+ pObj->pNext = NULL;
+ Aig_ManForEachPo( pMan, pObj, i )
+ pObj->pNext = NULL;
+/*
+ Aig_ManForEachPo( pMan, pObj, i )
+ printf( "%d ", Vec_IntSize( (Vec_Int_t *)Vec_VecEntry(vSupports, i) ) );
+ printf( "\n" );
+*/
+ return vSupports;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Start char-bases support representation.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+unsigned * Aig_ManSuppCharStart( Vec_Int_t * vOne, int nPis )
+{
+ unsigned * pBuffer;
+ int i, Entry;
+ int nWords = Aig_BitWordNum(nPis);
+ pBuffer = ALLOC( unsigned, nWords );
+ memset( pBuffer, 0, sizeof(unsigned) * nWords );
+ Vec_IntForEachEntry( vOne, Entry, i )
+ {
+ assert( Entry < nPis );
+ Aig_InfoSetBit( pBuffer, Entry );
+ }
+ return pBuffer;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Add to char-bases support representation.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ManSuppCharAdd( unsigned * pBuffer, Vec_Int_t * vOne, int nPis )
+{
+ int i, Entry;
+ Vec_IntForEachEntry( vOne, Entry, i )
+ {
+ assert( Entry < nPis );
+ Aig_InfoSetBit( pBuffer, Entry );
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Find the common variables using char-bases support representation.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Aig_ManSuppCharCommon( unsigned * pBuffer, Vec_Int_t * vOne )
+{
+ int i, Entry, nCommon = 0;
+ Vec_IntForEachEntry( vOne, Entry, i )
+ nCommon += Aig_InfoHasBit(pBuffer, Entry);
+ return nCommon;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Find the best partition.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Aig_ManPartitionSmartFindPart( Vec_Ptr_t * vPartSuppsAll, Vec_Ptr_t * vPartsAll, Vec_Ptr_t * vPartSuppsBit, int nSuppSizeLimit, Vec_Int_t * vOne )
+{
+ Vec_Int_t * vPartSupp;//, * vPart;
+ int Attract, Repulse, Value, ValueBest;
+ int i, nCommon, iBest;
+ iBest = -1;
+ ValueBest = 0;
+ Vec_PtrForEachEntry( vPartSuppsAll, vPartSupp, i )
+ {
+// vPart = Vec_PtrEntry( vPartsAll, i );
+// if ( nSuppSizeLimit > 0 && Vec_IntSize(vPart) >= nSuppSizeLimit )
+// continue;
+// nCommon = Vec_IntTwoCountCommon( vPartSupp, vOne );
+ nCommon = Aig_ManSuppCharCommon( Vec_PtrEntry(vPartSuppsBit, i), vOne );
+ if ( nCommon == 0 )
+ continue;
+ if ( nCommon == Vec_IntSize(vOne) )
+ return i;
+ // skip partitions whose size exceeds the limit
+ if ( nSuppSizeLimit > 0 && Vec_IntSize(vPartSupp) >= 2 * nSuppSizeLimit )
+ continue;
+ Attract = 1000 * nCommon / Vec_IntSize(vOne);
+ if ( Vec_IntSize(vPartSupp) < 100 )
+ Repulse = 1;
+ else
+ Repulse = 1+Aig_Base2Log(Vec_IntSize(vPartSupp)-100);
+ Value = Attract/Repulse;
+ if ( ValueBest < Value )
+ {
+ ValueBest = Value;
+ iBest = i;
+ }
+ }
+ if ( ValueBest < 75 )
+ return -1;
+ return iBest;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Perform the smart partitioning.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ManPartitionPrint( Aig_Man_t * p, Vec_Ptr_t * vPartsAll, Vec_Ptr_t * vPartSuppsAll )
+{
+ Vec_Int_t * vOne;
+ int i, nOutputs, Counter;
+
+ Counter = 0;
+ Vec_PtrForEachEntry( vPartSuppsAll, vOne, i )
+ {
+ nOutputs = Vec_IntSize(Vec_PtrEntry(vPartsAll, i));
+ printf( "%d=(%d,%d) ", i, Vec_IntSize(vOne), nOutputs );
+ Counter += nOutputs;
+ if ( i == Vec_PtrSize(vPartsAll) - 1 )
+ break;
+ }
+ assert( Counter == Aig_ManPoNum(p) );
+// printf( "\nTotal = %d. Outputs = %d.\n", Counter, Aig_ManPoNum(p) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Perform the smart partitioning.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ManPartitionCompact( Vec_Ptr_t * vPartsAll, Vec_Ptr_t * vPartSuppsAll, int nSuppSizeLimit )
+{
+ Vec_Int_t * vOne, * vPart, * vPartSupp, * vTemp;
+ int i, iPart;
+
+ if ( nSuppSizeLimit == 0 )
+ nSuppSizeLimit = 200;
+
+ // pack smaller partitions into larger blocks
+ iPart = 0;
+ vPart = vPartSupp = NULL;
+ Vec_PtrForEachEntry( vPartSuppsAll, vOne, i )
+ {
+ if ( Vec_IntSize(vOne) < nSuppSizeLimit )
+ {
+ if ( vPartSupp == NULL )
+ {
+ assert( vPart == NULL );
+ vPartSupp = Vec_IntDup(vOne);
+ vPart = Vec_PtrEntry(vPartsAll, i);
+ }
+ else
+ {
+ vPartSupp = Vec_IntTwoMerge( vTemp = vPartSupp, vOne );
+ Vec_IntFree( vTemp );
+ vPart = Vec_IntTwoMerge( vTemp = vPart, Vec_PtrEntry(vPartsAll, i) );
+ Vec_IntFree( vTemp );
+ Vec_IntFree( Vec_PtrEntry(vPartsAll, i) );
+ }
+ if ( Vec_IntSize(vPartSupp) < nSuppSizeLimit )
+ continue;
+ }
+ else
+ vPart = Vec_PtrEntry(vPartsAll, i);
+ // add the partition
+ Vec_PtrWriteEntry( vPartsAll, iPart, vPart );
+ vPart = NULL;
+ if ( vPartSupp )
+ {
+ Vec_IntFree( Vec_PtrEntry(vPartSuppsAll, iPart) );
+ Vec_PtrWriteEntry( vPartSuppsAll, iPart, vPartSupp );
+ vPartSupp = NULL;
+ }
+ iPart++;
+ }
+ // add the last one
+ if ( vPart )
+ {
+ Vec_PtrWriteEntry( vPartsAll, iPart, vPart );
+ vPart = NULL;
+
+ assert( vPartSupp != NULL );
+ Vec_IntFree( Vec_PtrEntry(vPartSuppsAll, iPart) );
+ Vec_PtrWriteEntry( vPartSuppsAll, iPart, vPartSupp );
+ vPartSupp = NULL;
+ iPart++;
+ }
+ Vec_PtrShrink( vPartsAll, iPart );
+ Vec_PtrShrink( vPartsAll, iPart );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Perform the smart partitioning.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Vec_Ptr_t * Aig_ManPartitionSmart( Aig_Man_t * p, int nSuppSizeLimit, int fVerbose, Vec_Ptr_t ** pvPartSupps )
+{
+ Vec_Ptr_t * vPartSuppsBit;
+ Vec_Ptr_t * vSupports, * vPartsAll, * vPartsAll2, * vPartSuppsAll;//, * vPartPtr;
+ Vec_Int_t * vOne, * vPart, * vPartSupp, * vTemp;
+ int i, iPart, iOut, clk;
+
+ // compute the supports for all outputs
+clk = clock();
+ vSupports = Aig_ManSupports( p );
+if ( fVerbose )
+{
+PRT( "Supps", clock() - clk );
+}
+ // start char-based support representation
+ vPartSuppsBit = Vec_PtrAlloc( 1000 );
+
+ // create partitions
+clk = clock();
+ vPartsAll = Vec_PtrAlloc( 256 );
+ vPartSuppsAll = Vec_PtrAlloc( 256 );
+ Vec_PtrForEachEntry( vSupports, vOne, i )
+ {
+ // get the output number
+ iOut = Vec_IntPop(vOne);
+ // find closely matching part
+ iPart = Aig_ManPartitionSmartFindPart( vPartSuppsAll, vPartsAll, vPartSuppsBit, nSuppSizeLimit, vOne );
+ if ( iPart == -1 )
+ {
+ // create new partition
+ vPart = Vec_IntAlloc( 32 );
+ Vec_IntPush( vPart, iOut );
+ // create new partition support
+ vPartSupp = Vec_IntDup( vOne );
+ // add this partition and its support
+ Vec_PtrPush( vPartsAll, vPart );
+ Vec_PtrPush( vPartSuppsAll, vPartSupp );
+
+ Vec_PtrPush( vPartSuppsBit, Aig_ManSuppCharStart(vOne, Aig_ManPiNum(p)) );
+ }
+ else
+ {
+ // add output to this partition
+ vPart = Vec_PtrEntry( vPartsAll, iPart );
+ Vec_IntPush( vPart, iOut );
+ // merge supports
+ vPartSupp = Vec_PtrEntry( vPartSuppsAll, iPart );
+ vPartSupp = Vec_IntTwoMerge( vTemp = vPartSupp, vOne );
+ Vec_IntFree( vTemp );
+ // reinsert new support
+ Vec_PtrWriteEntry( vPartSuppsAll, iPart, vPartSupp );
+
+ Aig_ManSuppCharAdd( Vec_PtrEntry(vPartSuppsBit, iPart), vOne, Aig_ManPiNum(p) );
+ }
+ }
+
+ // stop char-based support representation
+ Vec_PtrForEachEntry( vPartSuppsBit, vTemp, i )
+ free( vTemp );
+ Vec_PtrFree( vPartSuppsBit );
+
+//printf( "\n" );
+if ( fVerbose )
+{
+PRT( "Parts", clock() - clk );
+}
+
+clk = clock();
+ // reorder partitions in the decreasing order of support sizes
+ // remember partition number in each partition support
+ Vec_PtrForEachEntry( vPartSuppsAll, vOne, i )
+ Vec_IntPush( vOne, i );
+ // sort the supports in the decreasing order
+ Vec_VecSort( (Vec_Vec_t *)vPartSuppsAll, 1 );
+ // reproduce partitions
+ vPartsAll2 = Vec_PtrAlloc( 256 );
+ Vec_PtrForEachEntry( vPartSuppsAll, vOne, i )
+ Vec_PtrPush( vPartsAll2, Vec_PtrEntry(vPartsAll, Vec_IntPop(vOne)) );
+ Vec_PtrFree( vPartsAll );
+ vPartsAll = vPartsAll2;
+
+ // compact small partitions
+// Aig_ManPartitionPrint( p, vPartsAll, vPartSuppsAll );
+ Aig_ManPartitionCompact( vPartsAll, vPartSuppsAll, nSuppSizeLimit );
+ if ( fVerbose )
+// Aig_ManPartitionPrint( p, vPartsAll, vPartSuppsAll );
+ printf( "Created %d partitions.\n", Vec_PtrSize(vPartsAll) );
+
+if ( fVerbose )
+{
+//PRT( "Comps", clock() - clk );
+}
+
+ // cleanup
+ Vec_VecFree( (Vec_Vec_t *)vSupports );
+ if ( pvPartSupps == NULL )
+ Vec_VecFree( (Vec_Vec_t *)vPartSuppsAll );
+ else
+ *pvPartSupps = vPartSuppsAll;
+/*
+ // converts from intergers to nodes
+ Vec_PtrForEachEntry( vPartsAll, vPart, iPart )
+ {
+ vPartPtr = Vec_PtrAlloc( Vec_IntSize(vPart) );
+ Vec_IntForEachEntry( vPart, iOut, i )
+ Vec_PtrPush( vPartPtr, Aig_ManPo(p, iOut) );
+ Vec_IntFree( vPart );
+ Vec_PtrWriteEntry( vPartsAll, iPart, vPartPtr );
+ }
+*/
+ return vPartsAll;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Perform the naive partitioning.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Vec_Ptr_t * Aig_ManPartitionNaive( Aig_Man_t * p, int nPartSize )
+{
+ Vec_Ptr_t * vParts;
+ Aig_Obj_t * pObj;
+ int nParts, i;
+ nParts = (Aig_ManPoNum(p) / nPartSize) + ((Aig_ManPoNum(p) % nPartSize) > 0);
+ vParts = (Vec_Ptr_t *)Vec_VecStart( nParts );
+ Aig_ManForEachPo( p, pObj, i )
+ Vec_IntPush( Vec_PtrEntry(vParts, i / nPartSize), i );
+ return vParts;
+}
+
+
+
+/**Function*************************************************************
+
+ Synopsis [Adds internal nodes in the topological order.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Obj_t * Aig_ManDupPart_rec( Aig_Man_t * pNew, Aig_Man_t * pOld, Aig_Obj_t * pObj, Vec_Int_t * vSuppMap )
+{
+ assert( !Aig_IsComplement(pObj) );
+ if ( Aig_ObjIsTravIdCurrent(pOld, pObj) )
+ return pObj->pData;
+ Aig_ObjSetTravIdCurrent(pOld, pObj);
+ if ( Aig_ObjIsPi(pObj) )
+ {
+ assert( Vec_IntSize(vSuppMap) == Aig_ManPiNum(pNew) );
+ Vec_IntPush( vSuppMap, (int)(long)pObj->pNext );
+ return pObj->pData = Aig_ObjCreatePi(pNew);
+ }
+ assert( Aig_ObjIsNode(pObj) );
+ Aig_ManDupPart_rec( pNew, pOld, Aig_ObjFanin0(pObj), vSuppMap );
+ Aig_ManDupPart_rec( pNew, pOld, Aig_ObjFanin1(pObj), vSuppMap );
+ return pObj->pData = Aig_And( pNew, Aig_ObjChild0Copy(pObj), Aig_ObjChild1Copy(pObj) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Adds internal nodes in the topological order.]
+
+ Description [Returns the array of new outputs.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Vec_Ptr_t * Aig_ManDupPart( Aig_Man_t * pNew, Aig_Man_t * pOld, Vec_Int_t * vPart, Vec_Int_t * vSuppMap, int fInverse )
+{
+ Vec_Ptr_t * vOutsTotal;
+ Aig_Obj_t * pObj;
+ int Entry, i;
+ // create the PIs
+ Aig_ManIncrementTravId( pOld );
+ Aig_ManConst1(pOld)->pData = Aig_ManConst1(pNew);
+ Aig_ObjSetTravIdCurrent( pOld, Aig_ManConst1(pOld) );
+ if ( !fInverse )
+ {
+ Vec_IntForEachEntry( vSuppMap, Entry, i )
+ {
+ pObj = Aig_ManPi( pOld, Entry );
+ pObj->pData = Aig_ManPi( pNew, i );
+ Aig_ObjSetTravIdCurrent( pOld, pObj );
+ }
+ }
+ else
+ {
+ Vec_IntForEachEntry( vSuppMap, Entry, i )
+ {
+ pObj = Aig_ManPi( pOld, i );
+ pObj->pData = Aig_ManPi( pNew, Entry );
+ Aig_ObjSetTravIdCurrent( pOld, pObj );
+ }
+ vSuppMap = NULL; // should not be useful
+ }
+ // create the internal nodes
+ vOutsTotal = Vec_PtrAlloc( Vec_IntSize(vPart) );
+ if ( !fInverse )
+ {
+ Vec_IntForEachEntry( vPart, Entry, i )
+ {
+ pObj = Aig_ManPo( pOld, Entry );
+ Aig_ManDupPart_rec( pNew, pOld, Aig_ObjFanin0(pObj), vSuppMap );
+ Vec_PtrPush( vOutsTotal, Aig_ObjChild0Copy(pObj) );
+ }
+ }
+ else
+ {
+ Aig_ManForEachObj( pOld, pObj, i )
+ {
+ if ( Aig_ObjIsPo(pObj) )
+ {
+ Aig_ManDupPart_rec( pNew, pOld, Aig_ObjFanin0(pObj), vSuppMap );
+ Vec_PtrPush( vOutsTotal, Aig_ObjChild0Copy(pObj) );
+ }
+ else if ( Aig_ObjIsNode(pObj) && pObj->nRefs == 0 )
+ Aig_ManDupPart_rec( pNew, pOld, pObj, vSuppMap );
+
+ }
+ }
+ return vOutsTotal;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Create partitioned miter of the two AIGs.]
+
+ Description [Assumes that each output in the second AIG cannot have
+ more supp vars than the same output in the first AIG.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Vec_Ptr_t * Aig_ManMiterPartitioned( Aig_Man_t * p1, Aig_Man_t * p2, int nPartSize )
+{
+ Aig_Man_t * pNew;
+ Aig_Obj_t * pMiter;
+ Vec_Ptr_t * vMiters, * vNodes1, * vNodes2;
+ Vec_Ptr_t * vParts, * vPartSupps;
+ Vec_Int_t * vPart, * vPartSupp;
+ int i, k;
+ // partition the first manager
+ vParts = Aig_ManPartitionSmart( p1, nPartSize, 0, &vPartSupps );
+ // derive miters
+ vMiters = Vec_PtrAlloc( Vec_PtrSize(vParts) );
+ for ( i = 0; i < Vec_PtrSize(vParts); i++ )
+ {
+ // get partition and its support
+ vPart = Vec_PtrEntry( vParts, i );
+ vPartSupp = Vec_PtrEntry( vPartSupps, i );
+ // create the new miter
+ pNew = Aig_ManStart( 1000 );
+// pNew->pName = Extra_UtilStrsav( p1->pName );
+ // create the PIs
+ for ( k = 0; k < Vec_IntSize(vPartSupp); k++ )
+ Aig_ObjCreatePi( pNew );
+ // copy the components
+ vNodes1 = Aig_ManDupPart( pNew, p1, vPart, vPartSupp, 0 );
+ vNodes2 = Aig_ManDupPart( pNew, p2, vPart, vPartSupp, 0 );
+ // create the miter
+ pMiter = Aig_MiterTwo( pNew, vNodes1, vNodes2 );
+ Vec_PtrFree( vNodes1 );
+ Vec_PtrFree( vNodes2 );
+ // create the output
+ Aig_ObjCreatePo( pNew, pMiter );
+ // clean up
+ Aig_ManCleanup( pNew );
+ Vec_PtrPush( vMiters, pNew );
+ }
+ Vec_VecFree( (Vec_Vec_t *)vParts );
+ Vec_VecFree( (Vec_Vec_t *)vPartSupps );
+ return vMiters;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs partitioned choice computation.]
+
+ Description [Assumes that each output in the second AIG cannot have
+ more supp vars than the same output in the first AIG.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Man_t * Aig_ManChoicePartitioned( Vec_Ptr_t * vAigs, int nPartSize, int fVerbose )
+{
+// extern int Cmd_CommandExecute( void * pAbc, char * sCommand );
+// extern void * Abc_FrameGetGlobalFrame();
+ extern Aig_Man_t * Fra_FraigChoice( Aig_Man_t * pManAig, int nConfMax );
+
+ Vec_Ptr_t * vOutsTotal, * vOuts;
+ Aig_Man_t * pAigTotal, * pAigPart, * pAig;
+ Vec_Int_t * vPart, * vPartSupp;
+ Vec_Ptr_t * vParts;
+ Aig_Obj_t * pObj;
+ void ** ppData;
+ int i, k, m;
+
+ // partition the first AIG in the array
+ assert( Vec_PtrSize(vAigs) > 1 );
+ pAig = Vec_PtrEntry( vAigs, 0 );
+ vParts = Aig_ManPartitionSmart( pAig, nPartSize, 0, NULL );
+
+ // start the total fraiged AIG
+ pAigTotal = Aig_ManStartFrom( pAig );
+ Aig_ManReprStart( pAigTotal, Vec_PtrSize(vAigs) * Aig_ManObjNumMax(pAig) + 10000 );
+ vOutsTotal = Vec_PtrStart( Aig_ManPoNum(pAig) );
+
+ // set the PI numbers
+ Vec_PtrForEachEntry( vAigs, pAig, i )
+ Aig_ManForEachPi( pAig, pObj, k )
+ pObj->pNext = (Aig_Obj_t *)(long)k;
+
+// Cmd_CommandExecute( Abc_FrameGetGlobalFrame(), "unset progressbar" );
+
+ // create the total fraiged AIG
+ vPartSupp = Vec_IntAlloc( 100 ); // maps part PI num into total PI num
+ Vec_PtrForEachEntry( vParts, vPart, i )
+ {
+ // derive the partition AIG
+ pAigPart = Aig_ManStart( 5000 );
+// pAigPart->pName = Extra_UtilStrsav( pAigPart->pName );
+ Vec_IntClear( vPartSupp );
+ Vec_PtrForEachEntry( vAigs, pAig, k )
+ {
+ vOuts = Aig_ManDupPart( pAigPart, pAig, vPart, vPartSupp, 0 );
+ if ( k == 0 )
+ {
+ Vec_PtrForEachEntry( vOuts, pObj, m )
+ Aig_ObjCreatePo( pAigPart, pObj );
+ }
+ Vec_PtrFree( vOuts );
+ }
+ // derive the total AIG from the partitioned AIG
+ vOuts = Aig_ManDupPart( pAigTotal, pAigPart, vPart, vPartSupp, 1 );
+ // add to the outputs
+ Vec_PtrForEachEntry( vOuts, pObj, k )
+ {
+ assert( Vec_PtrEntry( vOutsTotal, Vec_IntEntry(vPart,k) ) == NULL );
+ Vec_PtrWriteEntry( vOutsTotal, Vec_IntEntry(vPart,k), pObj );
+ }
+ Vec_PtrFree( vOuts );
+ // store contents of pData pointers
+ ppData = ALLOC( void *, Aig_ManObjNumMax(pAigPart) );
+ Aig_ManForEachObj( pAigPart, pObj, k )
+ ppData[k] = pObj->pData;
+ // report the process
+ if ( fVerbose )
+ printf( "Part %4d (out of %4d) PI = %5d. PO = %5d. And = %6d. Lev = %4d.\r",
+ i+1, Vec_PtrSize(vParts), Aig_ManPiNum(pAigPart), Aig_ManPoNum(pAigPart),
+ Aig_ManNodeNum(pAigPart), Aig_ManLevelNum(pAigPart) );
+ // compute equivalence classes (to be stored in pNew->pReprs)
+ pAig = Fra_FraigChoice( pAigPart, 1000 );
+ Aig_ManStop( pAig );
+ // reset the pData pointers
+ Aig_ManForEachObj( pAigPart, pObj, k )
+ pObj->pData = ppData[k];
+ free( ppData );
+ // transfer representatives to the total AIG
+ if ( pAigPart->pReprs )
+ Aig_ManTransferRepr( pAigTotal, pAigPart );
+ Aig_ManStop( pAigPart );
+ }
+ if ( fVerbose )
+ printf( " \r" );
+ Vec_VecFree( (Vec_Vec_t *)vParts );
+ Vec_IntFree( vPartSupp );
+
+// Cmd_CommandExecute( Abc_FrameGetGlobalFrame(), "set progressbar" );
+
+ // clear the PI numbers
+ Vec_PtrForEachEntry( vAigs, pAig, i )
+ Aig_ManForEachPi( pAig, pObj, k )
+ pObj->pNext = NULL;
+/*
+ // collect the missing outputs (outputs whose driver is not a node)
+ pAig = Vec_PtrEntry( vAigs, 0 );
+ Aig_ManConst1(pAig)->pData = Aig_ManConst1(pAigTotal);
+ Aig_ManForEachPi( pAig, pObj, i )
+ pAig->pData = Aig_ManPi( pAigTotal, i );
+ Aig_ManForEachPo( pAig, pObj, i )
+ if ( !Aig_ObjIsNode(Aig_ObjFanin0(pObj)) )
+ {
+ assert( Vec_PtrEntry( vOutsTotal, i ) == NULL );
+ Vec_PtrWriteEntry( vOutsTotal, i, Aig_ObjChild0Copy(pObj) );
+ }
+*/
+ // add the outputs in the same order
+ Vec_PtrForEachEntry( vOutsTotal, pObj, i )
+ Aig_ObjCreatePo( pAigTotal, pObj );
+ Vec_PtrFree( vOutsTotal );
+
+ // derive the result of choicing
+ pAig = Aig_ManRehash( pAigTotal );
+ // create the equivalent nodes lists
+ Aig_ManMarkValidChoices( pAig );
+ return pAig;
+}
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/aig/aigRepr.c b/src/aig/aig/aigRepr.c
new file mode 100644
index 00000000..5ee6c9af
--- /dev/null
+++ b/src/aig/aig/aigRepr.c
@@ -0,0 +1,457 @@
+/**CFile****************************************************************
+
+ FileName [aigRepr.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [AIG package.]
+
+ Synopsis [Handing node representatives.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - April 28, 2007.]
+
+ Revision [$Id: aigRepr.c,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "aig.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Starts the array of representatives.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ManReprStart( Aig_Man_t * p, int nIdMax )
+{
+ assert( Aig_ManBufNum(p) == 0 );
+ assert( p->pReprs == NULL );
+ p->nReprsAlloc = nIdMax;
+ p->pReprs = ALLOC( Aig_Obj_t *, p->nReprsAlloc );
+ memset( p->pReprs, 0, sizeof(Aig_Obj_t *) * p->nReprsAlloc );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Stop the array of representatives.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ManReprStop( Aig_Man_t * p )
+{
+ assert( p->pReprs != NULL );
+ FREE( p->pReprs );
+ p->nReprsAlloc = 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Set the representative.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ObjCreateRepr( Aig_Man_t * p, Aig_Obj_t * pNode1, Aig_Obj_t * pNode2 )
+{
+ assert( p->pReprs != NULL );
+ assert( !Aig_IsComplement(pNode1) );
+ assert( !Aig_IsComplement(pNode2) );
+ assert( pNode1->Id < p->nReprsAlloc );
+ assert( pNode2->Id < p->nReprsAlloc );
+ assert( pNode1->Id < pNode2->Id );
+ p->pReprs[pNode2->Id] = pNode1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Set the representative.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline void Aig_ObjSetRepr( Aig_Man_t * p, Aig_Obj_t * pNode1, Aig_Obj_t * pNode2 )
+{
+ assert( p->pReprs != NULL );
+ assert( !Aig_IsComplement(pNode1) );
+ assert( !Aig_IsComplement(pNode2) );
+ assert( pNode1->Id < p->nReprsAlloc );
+ assert( pNode2->Id < p->nReprsAlloc );
+ if ( pNode1 == pNode2 )
+ return;
+ if ( pNode1->Id < pNode2->Id )
+ p->pReprs[pNode2->Id] = pNode1;
+ else
+ p->pReprs[pNode1->Id] = pNode2;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Find representative.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline Aig_Obj_t * Aig_ObjFindRepr( Aig_Man_t * p, Aig_Obj_t * pNode )
+{
+ assert( p->pReprs != NULL );
+ assert( !Aig_IsComplement(pNode) );
+ assert( pNode->Id < p->nReprsAlloc );
+// assert( !p->pReprs[pNode->Id] || p->pReprs[pNode->Id]->Id < pNode->Id );
+ return p->pReprs[pNode->Id];
+}
+
+/**Function*************************************************************
+
+ Synopsis [Clears the representative.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline void Aig_ObjClearRepr( Aig_Man_t * p, Aig_Obj_t * pNode )
+{
+ assert( p->pReprs != NULL );
+ assert( !Aig_IsComplement(pNode) );
+ assert( pNode->Id < p->nReprsAlloc );
+ p->pReprs[pNode->Id] = NULL;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Find representative transitively.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline Aig_Obj_t * Aig_ObjFindReprTransitive( Aig_Man_t * p, Aig_Obj_t * pNode )
+{
+ Aig_Obj_t * pNext, * pRepr;
+ if ( (pRepr = Aig_ObjFindRepr(p, pNode)) )
+ while ( (pNext = Aig_ObjFindRepr(p, pRepr)) )
+ pRepr = pNext;
+ return pRepr;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns representatives of fanin in approapriate polarity.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline Aig_Obj_t * Aig_ObjRepr( Aig_Man_t * p, Aig_Obj_t * pObj )
+{
+ Aig_Obj_t * pRepr;
+ if ( (pRepr = Aig_ObjFindRepr(p, pObj)) )
+ return Aig_NotCond( pRepr->pData, pObj->fPhase ^ pRepr->fPhase );
+ return pObj->pData;
+}
+static inline Aig_Obj_t * Aig_ObjChild0Repr( Aig_Man_t * p, Aig_Obj_t * pObj ) { return Aig_NotCond( Aig_ObjRepr(p, Aig_ObjFanin0(pObj)), Aig_ObjFaninC0(pObj) ); }
+static inline Aig_Obj_t * Aig_ObjChild1Repr( Aig_Man_t * p, Aig_Obj_t * pObj ) { return Aig_NotCond( Aig_ObjRepr(p, Aig_ObjFanin1(pObj)), Aig_ObjFaninC1(pObj) ); }
+
+/**Function*************************************************************
+
+ Synopsis [Duplicates AIG while substituting representatives.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ManTransferRepr( Aig_Man_t * pNew, Aig_Man_t * pOld )
+{
+ Aig_Obj_t * pObj, * pRepr;
+ int k;
+ assert( pNew->pReprs != NULL );
+ // extend storage to fix pNew
+ if ( pNew->nReprsAlloc < Aig_ManObjNumMax(pNew) )
+ {
+ int nReprsAllocNew = 2 * Aig_ManObjNumMax(pNew);
+ pNew->pReprs = REALLOC( Aig_Obj_t *, pNew->pReprs, nReprsAllocNew );
+ memset( pNew->pReprs + pNew->nReprsAlloc, 0, sizeof(Aig_Obj_t *) * (nReprsAllocNew-pNew->nReprsAlloc) );
+ pNew->nReprsAlloc = nReprsAllocNew;
+ }
+ // go through the nodes which have representatives
+ Aig_ManForEachObj( pOld, pObj, k )
+ if ( (pRepr = Aig_ObjFindRepr(pOld, pObj)) )
+ Aig_ObjSetRepr( pNew, Aig_Regular(pRepr->pData), Aig_Regular(pObj->pData) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Duplicates the AIG manager recursively.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Obj_t * Aig_ManDupRepr_rec( Aig_Man_t * pNew, Aig_Man_t * p, Aig_Obj_t * pObj )
+{
+ Aig_Obj_t * pRepr;
+ if ( pObj->pData )
+ return pObj->pData;
+ if ( (pRepr = Aig_ObjFindRepr(p, pObj)) )
+ {
+ Aig_ManDupRepr_rec( pNew, p, pRepr );
+ return pObj->pData = Aig_NotCond( pRepr->pData, pRepr->fPhase ^ pObj->fPhase );
+ }
+ Aig_ManDupRepr_rec( pNew, p, Aig_ObjFanin0(pObj) );
+ Aig_ManDupRepr_rec( pNew, p, Aig_ObjFanin1(pObj) );
+ return pObj->pData = Aig_And( pNew, Aig_ObjChild0Repr(p, pObj), Aig_ObjChild1Repr(p, pObj) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Duplicates AIG while substituting representatives.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Man_t * Aig_ManDupRepr( Aig_Man_t * p, int fOrdered )
+{
+ Aig_Man_t * pNew;
+ Aig_Obj_t * pObj;
+ int i;
+ // start the HOP package
+ pNew = Aig_ManStart( Aig_ManObjNumMax(p) );
+ pNew->pName = Aig_UtilStrsav( p->pName );
+ pNew->nRegs = p->nRegs;
+ if ( p->vFlopNums )
+ pNew->vFlopNums = Vec_IntDup( p->vFlopNums );
+ // map the const and primary inputs
+ Aig_ManCleanData( p );
+ Aig_ManConst1(p)->pData = Aig_ManConst1(pNew);
+ Aig_ManForEachPi( p, pObj, i )
+ pObj->pData = Aig_ObjCreatePi(pNew);
+ // map the internal nodes
+ if ( fOrdered )
+ {
+ Aig_ManForEachNode( p, pObj, i )
+ pObj->pData = Aig_And( pNew, Aig_ObjChild0Repr(p, pObj), Aig_ObjChild1Repr(p, pObj) );
+ }
+ else
+ {
+ Aig_ManForEachPo( p, pObj, i )
+ Aig_ManDupRepr_rec( pNew, p, Aig_ObjFanin0(pObj) );
+ }
+ // transfer the POs
+ Aig_ManForEachPo( p, pObj, i )
+ Aig_ObjCreatePo( pNew, Aig_ObjChild0Repr(p, pObj) );
+ // check the new manager
+ if ( !Aig_ManCheck(pNew) )
+ printf( "Aig_ManDupRepr: Check has failed.\n" );
+ return pNew;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Transfer representatives and return the number of critical fanouts.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Aig_ManRemapRepr( Aig_Man_t * p )
+{
+ Aig_Obj_t * pObj, * pRepr;
+ int i, nFanouts = 0;
+ Aig_ManForEachNode( p, pObj, i )
+ {
+ pRepr = Aig_ObjFindReprTransitive( p, pObj );
+ if ( pRepr == NULL )
+ continue;
+ assert( pRepr->Id < pObj->Id );
+ Aig_ObjSetRepr( p, pObj, pRepr );
+ nFanouts += (pObj->nRefs > 0);
+ }
+ return nFanouts;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns 1 if pOld is in the TFI of pNew.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Aig_ObjCheckTfi_rec( Aig_Man_t * p, Aig_Obj_t * pNode, Aig_Obj_t * pOld )
+{
+ // check the trivial cases
+ if ( pNode == NULL )
+ return 0;
+// if ( pNode->Id < pOld->Id ) // cannot use because of choices of pNode
+// return 0;
+ if ( pNode == pOld )
+ return 1;
+ // skip the visited node
+ if ( Aig_ObjIsTravIdCurrent( p, pNode ) )
+ return 0;
+ Aig_ObjSetTravIdCurrent( p, pNode );
+ // check the children
+ if ( Aig_ObjCheckTfi_rec( p, Aig_ObjFanin0(pNode), pOld ) )
+ return 1;
+ if ( Aig_ObjCheckTfi_rec( p, Aig_ObjFanin1(pNode), pOld ) )
+ return 1;
+ // check equivalent nodes
+ return Aig_ObjCheckTfi_rec( p, p->pEquivs[pNode->Id], pOld );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns 1 if pOld is in the TFI of pNew.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Aig_ObjCheckTfi( Aig_Man_t * p, Aig_Obj_t * pNew, Aig_Obj_t * pOld )
+{
+ assert( !Aig_IsComplement(pNew) );
+ assert( !Aig_IsComplement(pOld) );
+ Aig_ManIncrementTravId( p );
+ return Aig_ObjCheckTfi_rec( p, pNew, pOld );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Iteratively rehashes the AIG.]
+
+ Description [The input AIG is assumed to have representatives assigned.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Man_t * Aig_ManRehash( Aig_Man_t * p )
+{
+ Aig_Man_t * pTemp;
+ int i, nFanouts;
+ assert( p->pReprs != NULL );
+ for ( i = 0; (nFanouts = Aig_ManRemapRepr( p )); i++ )
+ {
+// printf( "Iter = %3d. Fanouts = %6d. Nodes = %7d.\n", i+1, nFanouts, Aig_ManNodeNum(p) );
+ p = Aig_ManDupRepr( pTemp = p, 1 );
+ Aig_ManReprStart( p, Aig_ManObjNumMax(p) );
+ Aig_ManTransferRepr( p, pTemp );
+ Aig_ManStop( pTemp );
+ }
+ return p;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Marks the nodes that are Creates choices.]
+
+ Description [The input AIG is assumed to have representatives assigned.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ManMarkValidChoices( Aig_Man_t * p )
+{
+ Aig_Obj_t * pObj, * pRepr;
+ int i;
+ assert( p->pReprs != NULL );
+ // create equivalent nodes in the manager
+ assert( p->pEquivs == NULL );
+ p->pEquivs = ALLOC( Aig_Obj_t *, Aig_ManObjNumMax(p) );
+ memset( p->pEquivs, 0, sizeof(Aig_Obj_t *) * Aig_ManObjNumMax(p) );
+ // make the choice nodes
+ Aig_ManForEachNode( p, pObj, i )
+ {
+ pRepr = Aig_ObjFindRepr( p, pObj );
+ if ( pRepr == NULL )
+ continue;
+ assert( pObj->nRefs == 0 );
+ // skip constant and PI classes
+ if ( !Aig_ObjIsNode(pRepr) )
+ {
+ Aig_ObjClearRepr( p, pObj );
+ continue;
+ }
+ // skip choices with combinatinal loops
+ if ( Aig_ObjCheckTfi( p, pObj, pRepr ) )
+ {
+ Aig_ObjClearRepr( p, pObj );
+ continue;
+ }
+//printf( "Node %d is represented by node %d.\n", pObj->Id, pRepr->Id );
+ // add choice to the choice node
+ p->pEquivs[pObj->Id] = p->pEquivs[pRepr->Id];
+ p->pEquivs[pRepr->Id] = pObj;
+ }
+}
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/aig/aigRet.c b/src/aig/aig/aigRet.c
new file mode 100644
index 00000000..d1784b1b
--- /dev/null
+++ b/src/aig/aig/aigRet.c
@@ -0,0 +1,969 @@
+/**CFile****************************************************************
+
+ FileName [aigRet.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [AIG package.]
+
+ Synopsis [Retiming of AIGs.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - April 28, 2007.]
+
+ Revision [$Id: aigRet.c,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "aig.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+// init values
+typedef enum {
+ RTM_VAL_NONE, // 0: non-existent value
+ RTM_VAL_ZERO, // 1: initial value 0
+ RTM_VAL_ONE, // 2: initial value 1
+ RTM_VAL_VOID // 3: unused value
+} Rtm_Init_t;
+
+typedef struct Rtm_Man_t_ Rtm_Man_t;
+struct Rtm_Man_t_
+{
+ // network representation
+ Vec_Ptr_t * vObjs; // retiming objects
+ Vec_Ptr_t * vPis; // PIs only
+ Vec_Ptr_t * vPos; // POs only
+ Aig_MmFlex_t * pMem; // the memory manager
+ // autonomous components after cutting off
+ // storage for overflow latches
+ unsigned * pExtra;
+ int nExtraCur;
+ int nExtraAlloc;
+};
+
+typedef struct Rtm_Edg_t_ Rtm_Edg_t;
+struct Rtm_Edg_t_
+{
+ unsigned long nLats : 12; // the number of latches
+ unsigned long LData : 20; // the latches themselves
+};
+
+typedef struct Rtm_Obj_t_ Rtm_Obj_t;
+struct Rtm_Obj_t_
+{
+ void * pCopy; // the copy of this object
+ unsigned long Type : 3; // object type
+ unsigned long fMark : 1; // multipurpose mark
+ unsigned long fAuto : 1; // this object belongs to an autonomous component
+ unsigned long fCompl0 : 1; // complemented attribute of the first edge
+ unsigned long fCompl1 : 1; // complemented attribute of the second edge
+ unsigned long nFanins : 8; // the number of fanins
+ unsigned Num : 17; // the retiming number of this node
+ int Id; // ID of this object
+ int Temp; // temporary usage
+ int nFanouts; // the number of fanouts
+ void * pFanio[0]; // fanins and their edges (followed by fanouts and pointers to their edges)
+};
+
+static inline Rtm_Obj_t * Rtm_ObjFanin( Rtm_Obj_t * pObj, int i ) { return (Rtm_Obj_t *)pObj->pFanio[2*i]; }
+static inline Rtm_Obj_t * Rtm_ObjFanout( Rtm_Obj_t * pObj, int i ) { return (Rtm_Obj_t *)pObj->pFanio[2*(pObj->nFanins+i)]; }
+static inline Rtm_Edg_t * Rtm_ObjEdge( Rtm_Obj_t * pObj, int i ) { return (Rtm_Edg_t *)(pObj->pFanio + 2*i + 1); }
+static inline Rtm_Edg_t * Rtm_ObjFanoutEdge( Rtm_Obj_t * pObj, int i ) { return (Rtm_Edg_t *)pObj->pFanio[2*(pObj->nFanins+i) + 1]; }
+
+static inline Rtm_Init_t Rtm_InitNot( Rtm_Init_t Val ) { if ( Val == RTM_VAL_ZERO ) return RTM_VAL_ONE; if ( Val == RTM_VAL_ONE ) return RTM_VAL_ZERO; assert( 0 ); return -1; }
+static inline Rtm_Init_t Rtm_InitNotCond( Rtm_Init_t Val, int c ) { return c ? Rtm_InitNot(Val) : Val; }
+static inline Rtm_Init_t Rtm_InitAnd(Rtm_Init_t ValA, Rtm_Init_t ValB ) { if ( ValA == RTM_VAL_ONE && ValB == RTM_VAL_ONE ) return RTM_VAL_ONE; if ( ValA == RTM_VAL_ZERO || ValB == RTM_VAL_ZERO ) return RTM_VAL_ZERO; assert( 0 ); return -1; }
+
+static inline int Rtm_InitWordsNum( int nLats ) { return (nLats >> 4) + ((nLats & 15) > 0); }
+static inline int Rtm_InitGetTwo( unsigned * p, int i ) { return (p[i>>4] >> ((i & 15)<<1)) & 3; }
+static inline void Rtm_InitSetTwo( unsigned * p, int i, int val ) { p[i>>4] |= (val << ((i & 15)<<1)); }
+static inline void Rtm_InitXorTwo( unsigned * p, int i, int val ) { p[i>>4] ^= (val << ((i & 15)<<1)); }
+
+static inline Rtm_Init_t Rtm_ObjGetFirst1( Rtm_Edg_t * pEdge ) { return pEdge->LData & 3; }
+static inline Rtm_Init_t Rtm_ObjGetLast1( Rtm_Edg_t * pEdge ) { return (pEdge->LData >> ((pEdge->nLats-1)<<1)) & 3; }
+static inline Rtm_Init_t Rtm_ObjGetOne1( Rtm_Edg_t * pEdge, int i ) { assert( i < (int)pEdge->nLats ); return (pEdge->LData >> (i << 1)) & 3; }
+static inline Rtm_Init_t Rtm_ObjRemFirst1( Rtm_Edg_t * pEdge ) { int Val = pEdge->LData & 3; pEdge->LData >>= 2; assert(pEdge->nLats > 0); pEdge->nLats--; return Val; }
+static inline Rtm_Init_t Rtm_ObjRemLast1( Rtm_Edg_t * pEdge ) { int Val = (pEdge->LData >> ((pEdge->nLats-1)<<1)) & 3; pEdge->LData ^= Val << ((pEdge->nLats-1)<<1); assert(pEdge->nLats > 0); pEdge->nLats--; return Val; }
+static inline void Rtm_ObjAddFirst1( Rtm_Edg_t * pEdge, Rtm_Init_t Val ) { assert( Val > 0 && Val < 4 ); pEdge->LData = (pEdge->LData << 2) | Val; pEdge->nLats++; }
+static inline void Rtm_ObjAddLast1( Rtm_Edg_t * pEdge, Rtm_Init_t Val ) { assert( Val > 0 && Val < 4 ); pEdge->LData |= Val << (pEdge->nLats<<1); pEdge->nLats++; }
+
+static inline Rtm_Init_t Rtm_ObjGetFirst2( Rtm_Man_t * p, Rtm_Edg_t * pEdge ) { return Rtm_InitGetTwo( p->pExtra + pEdge->LData, 0 ); }
+static inline Rtm_Init_t Rtm_ObjGetLast2( Rtm_Man_t * p, Rtm_Edg_t * pEdge ) { return Rtm_InitGetTwo( p->pExtra + pEdge->LData, pEdge->nLats - 1 ); }
+static inline Rtm_Init_t Rtm_ObjGetOne2( Rtm_Man_t * p, Rtm_Edg_t * pEdge, int i ) { return Rtm_InitGetTwo( p->pExtra + pEdge->LData, i ); }
+static Rtm_Init_t Rtm_ObjRemFirst2( Rtm_Man_t * p, Rtm_Edg_t * pEdge );
+static inline Rtm_Init_t Rtm_ObjRemLast2( Rtm_Man_t * p, Rtm_Edg_t * pEdge ) { Rtm_Init_t Val = Rtm_ObjGetLast2( p, pEdge ); Rtm_InitXorTwo( p->pExtra + pEdge->LData, pEdge->nLats - 1, Val ); pEdge->nLats--; return Val; }
+static void Rtm_ObjAddFirst2( Rtm_Man_t * p, Rtm_Edg_t * pEdge, Rtm_Init_t Val );
+static inline void Rtm_ObjAddLast2( Rtm_Man_t * p, Rtm_Edg_t * pEdge, Rtm_Init_t Val ) { Rtm_InitSetTwo( p->pExtra + pEdge->LData, pEdge->nLats, Val ); pEdge->nLats++; }
+
+static void Rtm_ObjTransferToSmall( Rtm_Man_t * p, Rtm_Edg_t * pEdge );
+static void Rtm_ObjTransferToBig( Rtm_Man_t * p, Rtm_Edg_t * pEdge );
+static void Rtm_ObjTransferToBigger( Rtm_Man_t * p, Rtm_Edg_t * pEdge );
+
+static inline Rtm_Init_t Rtm_ObjGetFirst( Rtm_Man_t * p, Rtm_Edg_t * pEdge ) { return pEdge->nLats > 10? Rtm_ObjGetFirst2(p, pEdge) : Rtm_ObjGetFirst1(pEdge); }
+static inline Rtm_Init_t Rtm_ObjGetLast( Rtm_Man_t * p, Rtm_Edg_t * pEdge ) { return pEdge->nLats > 10? Rtm_ObjGetLast2(p, pEdge) : Rtm_ObjGetLast1(pEdge); }
+static inline Rtm_Init_t Rtm_ObjGetOne( Rtm_Man_t * p, Rtm_Edg_t * pEdge, int i ) { return pEdge->nLats > 10? Rtm_ObjGetOne2(p, pEdge, i) : Rtm_ObjGetOne1(pEdge, i); }
+static Rtm_Init_t Rtm_ObjRemFirst( Rtm_Man_t * p, Rtm_Edg_t * pEdge ) { Rtm_Init_t Res = pEdge->nLats > 10 ? Rtm_ObjRemFirst2(p, pEdge) : Rtm_ObjRemFirst1(pEdge); if ( pEdge->nLats == 10 ) Rtm_ObjTransferToSmall(p, pEdge); return Res; }
+static Rtm_Init_t Rtm_ObjRemLast( Rtm_Man_t * p, Rtm_Edg_t * pEdge ) { Rtm_Init_t Res = pEdge->nLats > 10 ? Rtm_ObjRemLast2(p, pEdge) : Rtm_ObjRemLast1(pEdge); if ( pEdge->nLats == 10 ) Rtm_ObjTransferToSmall(p, pEdge); return Res; }
+static void Rtm_ObjAddFirst( Rtm_Man_t * p, Rtm_Edg_t * pEdge, Rtm_Init_t Val ) { if ( pEdge->nLats == 10 ) Rtm_ObjTransferToBig(p, pEdge); else if ( (pEdge->nLats & 15) == 15 ) Rtm_ObjTransferToBigger(p, pEdge); if ( pEdge->nLats >= 10 ) Rtm_ObjAddFirst2(p, pEdge, Val); else Rtm_ObjAddFirst1(pEdge, Val); }
+static void Rtm_ObjAddLast( Rtm_Man_t * p, Rtm_Edg_t * pEdge, Rtm_Init_t Val ) { if ( pEdge->nLats == 10 ) Rtm_ObjTransferToBig(p, pEdge); else if ( (pEdge->nLats & 15) == 15 ) Rtm_ObjTransferToBigger(p, pEdge); if ( pEdge->nLats >= 10 ) Rtm_ObjAddLast2(p, pEdge, Val); else Rtm_ObjAddLast1(pEdge, Val); }
+
+
+// iterator over the primary inputs
+#define Rtm_ManForEachPi( p, pObj, i ) \
+ Vec_PtrForEachEntry( p->vPis, pObj, i )
+// iterator over the primary outputs
+#define Rtm_ManForEachPo( p, pObj, i ) \
+ Vec_PtrForEachEntry( p->vPos, pObj, i )
+// iterator over all objects, including those currently not used
+#define Rtm_ManForEachObj( p, pObj, i ) \
+ Vec_PtrForEachEntry( p->vObjs, pObj, i )
+// iterate through the fanins
+#define Rtm_ObjForEachFanin( pObj, pFanin, i ) \
+ for ( i = 0; i < (int)(pObj)->nFanins && ((pFanin = Rtm_ObjFanin(pObj, i)), 1); i++ )
+// iterate through the fanouts
+#define Rtm_ObjForEachFanout( pObj, pFanout, i ) \
+ for ( i = 0; i < (int)(pObj)->nFanouts && ((pFanout = Rtm_ObjFanout(pObj, i)), 1); i++ )
+// iterate through the fanin edges
+#define Rtm_ObjForEachFaninEdge( pObj, pEdge, i ) \
+ for ( i = 0; i < (int)(pObj)->nFanins && ((pEdge = Rtm_ObjEdge(pObj, i)), 1); i++ )
+// iterate through the fanout edges
+#define Rtm_ObjForEachFanoutEdge( pObj, pEdge, i ) \
+ for ( i = 0; i < (int)(pObj)->nFanouts && ((pEdge = Rtm_ObjFanoutEdge(pObj, i)), 1); i++ )
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Transfers from big to small storage.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Rtm_ObjTransferToSmall( Rtm_Man_t * p, Rtm_Edg_t * pEdge )
+{
+ assert( pEdge->nLats == 10 );
+ pEdge->LData = p->pExtra[pEdge->LData];
+}
+
+/**Function*************************************************************
+
+ Synopsis [Transfers from small to big storage.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Rtm_ObjTransferToBig( Rtm_Man_t * p, Rtm_Edg_t * pEdge )
+{
+ assert( pEdge->nLats == 10 );
+ if ( p->nExtraCur + 1 > p->nExtraAlloc )
+ {
+ int nExtraAllocNew = AIG_MAX( 2 * p->nExtraAlloc, 1024 );
+ p->pExtra = REALLOC( unsigned, p->pExtra, nExtraAllocNew );
+ p->nExtraAlloc = nExtraAllocNew;
+ }
+ p->pExtra[p->nExtraCur] = pEdge->LData;
+ pEdge->LData = p->nExtraCur++;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Transfers to bigger storage.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Rtm_ObjTransferToBigger( Rtm_Man_t * p, Rtm_Edg_t * pEdge )
+{
+ int nWords;
+ assert( (pEdge->nLats & 15) == 15 );
+ nWords = (pEdge->nLats + 1) >> 4;
+ if ( p->nExtraCur + nWords + 1 > p->nExtraAlloc )
+ {
+ int nExtraAllocNew = AIG_MAX( 2 * p->nExtraAlloc, 1024 );
+ p->pExtra = REALLOC( unsigned, p->pExtra, nExtraAllocNew );
+ p->nExtraAlloc = nExtraAllocNew;
+ }
+ memcpy( p->pExtra + p->nExtraCur, p->pExtra + pEdge->LData, sizeof(unsigned) * nWords );
+ p->pExtra[p->nExtraCur + nWords] = 0;
+ pEdge->LData = p->nExtraCur;
+ p->nExtraCur += nWords + 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Rtm_Init_t Rtm_ObjRemFirst2( Rtm_Man_t * p, Rtm_Edg_t * pEdge )
+{
+ Rtm_Init_t Val = 0, Temp;
+ unsigned * pB = p->pExtra + pEdge->LData, * pE = pB + Rtm_InitWordsNum( pEdge->nLats-- ) - 1;
+ while ( pE >= pB )
+ {
+ Temp = *pE & 3;
+ *pE = (*pE >> 2) | (Val << 30);
+ Val = Temp;
+ pE--;
+ }
+ assert( Val != 0 );
+ return Val;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Rtm_ObjAddFirst2( Rtm_Man_t * p, Rtm_Edg_t * pEdge, Rtm_Init_t Val )
+{
+ unsigned * pB = p->pExtra + pEdge->LData, * pE = pB + Rtm_InitWordsNum( ++pEdge->nLats );
+ Rtm_Init_t Temp;
+ assert( Val != 0 );
+ while ( pB < pE )
+ {
+ Temp = *pB >> 30;
+ *pB = (*pB << 2) | Val;
+ Val = Temp;
+ pB++;
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Rtm_PrintEdge( Rtm_Man_t * p, Rtm_Edg_t * pEdge )
+{
+// unsigned LData = pEdge->LData;
+ printf( "%d : ", pEdge->nLats );
+/*
+ if ( pEdge->nLats > 10 )
+ Extra_PrintBinary( stdout, p->pExtra + pEdge->LData, 2*(pEdge->nLats+1) );
+ else
+ Extra_PrintBinary( stdout, &LData, 2*(pEdge->nLats+1) );
+*/
+ printf( "\n" );
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Allocates the retiming manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Rtm_Man_t * Rtm_ManAlloc( Aig_Man_t * p )
+{
+ Rtm_Man_t * pRtm;
+ // start the manager
+ pRtm = ALLOC( Rtm_Man_t, 1 );
+ memset( pRtm, 0, sizeof(Rtm_Man_t) );
+ // perform initializations
+ pRtm->vObjs = Vec_PtrAlloc( Aig_ManObjNum(p) );
+ pRtm->vPis = Vec_PtrAlloc( Aig_ManPiNum(p) );
+ pRtm->vPos = Vec_PtrAlloc( Aig_ManPoNum(p) );
+ pRtm->pMem = Aig_MmFlexStart();
+ return pRtm;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Allocates the retiming manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Rtm_ManFree( Rtm_Man_t * p )
+{
+ Vec_PtrFree( p->vObjs );
+ Vec_PtrFree( p->vPis );
+ Vec_PtrFree( p->vPos );
+ Aig_MmFlexStop( p->pMem, 0 );
+ FREE( p->pExtra );
+ free( p );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Counts the maximum number of latches on an edge.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Rtm_ManLatchMax( Rtm_Man_t * p )
+{
+ Rtm_Obj_t * pObj;
+ Rtm_Edg_t * pEdge;
+ int nLatchMax = 0, i, k;//, c, Val;
+ Rtm_ManForEachObj( p, pObj, i )
+ Rtm_ObjForEachFaninEdge( pObj, pEdge, k )
+ {
+/*
+ for ( c = 0; c < (int)pEdge->nLats; c++ )
+ {
+ Val = Rtm_ObjGetOne( p, pEdge, c );
+ assert( Val == 1 || Val == 2 );
+ }
+*/
+ nLatchMax = AIG_MAX( nLatchMax, (int)pEdge->nLats );
+ }
+ return nLatchMax;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Allocates the retiming object.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Rtm_Obj_t * Rtm_ObjAlloc( Rtm_Man_t * pRtm, int nFanins, int nFanouts )
+{
+ Rtm_Obj_t * pObj;
+ int Size = sizeof(Rtm_Obj_t) + sizeof(Rtm_Obj_t *) * (nFanins + nFanouts) * 2;
+ pObj = (Rtm_Obj_t *)Aig_MmFlexEntryFetch( pRtm->pMem, Size );
+ memset( pObj, 0, sizeof(Rtm_Obj_t) );
+ pObj->Type = (int)(nFanins == 1 && nFanouts == 0); // mark PO
+ pObj->Num = nFanins; // temporary
+ pObj->Temp = nFanouts;
+ pObj->Id = Vec_PtrSize(pRtm->vObjs);
+ Vec_PtrPush( pRtm->vObjs, pObj );
+ return pObj;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Allocates the retiming object.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Rtm_ObjAddFanin( Rtm_Obj_t * pObj, Rtm_Obj_t * pFanin, int fCompl )
+{
+ pObj->pFanio[ 2*pObj->nFanins ] = pFanin;
+ pObj->pFanio[ 2*pObj->nFanins + 1 ] = NULL;
+ pFanin->pFanio[ 2*(pFanin->Num + pFanin->nFanouts) ] = pObj;
+ pFanin->pFanio[ 2*(pFanin->Num + pFanin->nFanouts) + 1 ] = pObj->pFanio + 2*pObj->nFanins + 1;
+ if ( pObj->nFanins == 0 )
+ pObj->fCompl0 = fCompl;
+ else if ( pObj->nFanins == 1 )
+ pObj->fCompl1 = fCompl;
+ else
+ assert( 0 );
+ pObj->nFanins++;
+ pFanin->nFanouts++;
+ assert( pObj->nFanins <= pObj->Num );
+ assert( pFanin->nFanouts <= pFanin->Temp );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Check the possibility of forward retiming.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Rtm_ObjCheckRetimeFwd( Rtm_Obj_t * pObj )
+{
+ Rtm_Edg_t * pEdge;
+ int i;
+ Rtm_ObjForEachFaninEdge( pObj, pEdge, i )
+ if ( pEdge->nLats == 0 )
+ return 0;
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Check the possibility of forward retiming.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Rtm_ObjCheckRetimeBwd( Rtm_Obj_t * pObj )
+{
+ Rtm_Edg_t * pEdge;
+ int i;
+ Rtm_ObjForEachFanoutEdge( pObj, pEdge, i )
+ if ( pEdge->nLats == 0 )
+ return 0;
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Check the possibility of forward retiming.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Rtm_ObjGetDegreeFwd( Rtm_Obj_t * pObj )
+{
+ Rtm_Obj_t * pFanin;
+ int i, Degree = 0;
+ Rtm_ObjForEachFanin( pObj, pFanin, i )
+ Degree = AIG_MAX( Degree, (int)pFanin->Num );
+ return Degree + 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Check the possibility of forward retiming.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Rtm_ObjGetDegreeBwd( Rtm_Obj_t * pObj )
+{
+ Rtm_Obj_t * pFanout;
+ int i, Degree = 0;
+ Rtm_ObjForEachFanout( pObj, pFanout, i )
+ Degree = AIG_MAX( Degree, (int)pFanout->Num );
+ return Degree + 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs forward retiming.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Rtm_ObjRetimeFwd( Rtm_Man_t * pRtm, Rtm_Obj_t * pObj )
+{
+ Rtm_Init_t ValTotal, ValCur;
+ Rtm_Edg_t * pEdge;
+ int i;
+ assert( Rtm_ObjCheckRetimeFwd(pObj) );
+ // extract values and compute the result
+ ValTotal = RTM_VAL_ONE;
+ Rtm_ObjForEachFaninEdge( pObj, pEdge, i )
+ {
+ ValCur = Rtm_ObjRemFirst( pRtm, pEdge );
+ ValCur = Rtm_InitNotCond( ValCur, i? pObj->fCompl1 : pObj->fCompl0 );
+ ValTotal = Rtm_InitAnd( ValTotal, ValCur );
+ }
+ // insert the result in the fanout values
+ Rtm_ObjForEachFanoutEdge( pObj, pEdge, i )
+ Rtm_ObjAddLast( pRtm, pEdge, ValTotal );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs forward retiming.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Rtm_ObjRetimeBwd( Rtm_Man_t * pRtm, Rtm_Obj_t * pObj )
+{
+ Rtm_Edg_t * pEdge;
+ int i;
+ assert( Rtm_ObjCheckRetimeBwd(pObj) );
+ // extract values and compute the result
+ Rtm_ObjForEachFanoutEdge( pObj, pEdge, i )
+ Rtm_ObjRemLast( pRtm, pEdge );
+ // insert the result in the fanout values
+ Rtm_ObjForEachFaninEdge( pObj, pEdge, i )
+ Rtm_ObjAddFirst( pRtm, pEdge, RTM_VAL_VOID );
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Rtm_ObjMarkAutoFwd_rec( Rtm_Obj_t * pObj )
+{
+ Rtm_Obj_t * pFanout;
+ int i;
+ if ( pObj->fAuto )
+ return;
+ pObj->fAuto = 1;
+ Rtm_ObjForEachFanout( pObj, pFanout, i )
+ Rtm_ObjMarkAutoFwd_rec( pFanout );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Marks the nodes unreachable from the PIs.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Rtm_ManMarkAutoFwd( Rtm_Man_t * pRtm )
+{
+ Rtm_Obj_t * pObjRtm;
+ int i, Counter = 0;
+ // mark nodes reachable from the PIs
+ pObjRtm = Vec_PtrEntry( pRtm->vObjs, 0 );
+ Rtm_ObjMarkAutoFwd_rec( pObjRtm );
+ Rtm_ManForEachPi( pRtm, pObjRtm, i )
+ Rtm_ObjMarkAutoFwd_rec( pObjRtm );
+ // count the number of autonomous nodes
+ Rtm_ManForEachObj( pRtm, pObjRtm, i )
+ {
+ pObjRtm->fAuto = !pObjRtm->fAuto;
+ Counter += pObjRtm->fAuto;
+ }
+ // mark the fanins of the autonomous nodes
+ return Counter;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Rtm_ObjMarkAutoBwd_rec( Rtm_Obj_t * pObj )
+{
+ Rtm_Obj_t * pFanin;
+ int i;
+ if ( pObj->fAuto )
+ return;
+ pObj->fAuto = 1;
+ Rtm_ObjForEachFanin( pObj, pFanin, i )
+ Rtm_ObjMarkAutoBwd_rec( pFanin );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Marks the nodes unreachable from the POs.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Rtm_ManMarkAutoBwd( Rtm_Man_t * pRtm )
+{
+ Rtm_Obj_t * pObjRtm;
+ int i, Counter = 0;
+ // mark nodes reachable from the PIs
+ pObjRtm = Vec_PtrEntry( pRtm->vObjs, 0 );
+ pObjRtm->fAuto = 1;
+ Rtm_ManForEachPi( pRtm, pObjRtm, i )
+ pObjRtm->fAuto = 1;
+ Rtm_ManForEachPo( pRtm, pObjRtm, i )
+ Rtm_ObjMarkAutoBwd_rec( pObjRtm );
+ // count the number of autonomous nodes
+ Rtm_ManForEachObj( pRtm, pObjRtm, i )
+ {
+ pObjRtm->fAuto = !pObjRtm->fAuto;
+ Counter += pObjRtm->fAuto;
+ }
+ // mark the fanins of the autonomous nodes
+ return Counter;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Derive retiming manager from the given AIG manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Rtm_Man_t * Rtm_ManFromAig( Aig_Man_t * p )
+{
+ Rtm_Man_t * pRtm;
+ Aig_Obj_t * pObj, * pObjLi, * pObjLo;
+ int i;
+ assert( Aig_ManRegNum(p) > 0 );
+ assert( Aig_ManBufNum(p) == 0 );
+ // allocate the manager
+ pRtm = Rtm_ManAlloc( p );
+ // allocate objects
+ pObj = Aig_ManConst1(p);
+ pObj->pData = Rtm_ObjAlloc( pRtm, 0, pObj->nRefs );
+ Aig_ManForEachPiSeq( p, pObj, i )
+ {
+ pObj->pData = Rtm_ObjAlloc( pRtm, 0, pObj->nRefs );
+ Vec_PtrPush( pRtm->vPis, pObj->pData );
+ }
+ Aig_ManForEachPoSeq( p, pObj, i )
+ {
+ pObj->pData = Rtm_ObjAlloc( pRtm, 1, 0 );
+ Vec_PtrPush( pRtm->vPos, pObj->pData );
+ }
+ Aig_ManForEachLoSeq( p, pObj, i )
+ pObj->pData = Rtm_ObjAlloc( pRtm, 1, pObj->nRefs );
+ Aig_ManForEachLiSeq( p, pObj, i )
+ pObj->pData = Rtm_ObjAlloc( pRtm, 1, 1 );
+ Aig_ManForEachNode( p, pObj, i )
+ pObj->pData = Rtm_ObjAlloc( pRtm, 2, pObj->nRefs );
+ // connect objects
+ Aig_ManForEachPoSeq( p, pObj, i )
+ Rtm_ObjAddFanin( pObj->pData, Aig_ObjFanin0(pObj)->pData, Aig_ObjFaninC0(pObj) );
+ Aig_ManForEachLiSeq( p, pObj, i )
+ Rtm_ObjAddFanin( pObj->pData, Aig_ObjFanin0(pObj)->pData, Aig_ObjFaninC0(pObj) );
+ Aig_ManForEachLiLoSeq( p, pObjLi, pObjLo, i )
+ Rtm_ObjAddFanin( pObjLo->pData, pObjLi->pData, 0 );
+ Aig_ManForEachNode( p, pObj, i )
+ {
+ Rtm_ObjAddFanin( pObj->pData, Aig_ObjFanin0(pObj)->pData, Aig_ObjFaninC0(pObj) );
+ Rtm_ObjAddFanin( pObj->pData, Aig_ObjFanin1(pObj)->pData, Aig_ObjFaninC1(pObj) );
+ }
+ return pRtm;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Derive AIG manager after retiming.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Obj_t * Rtm_ManToAig_rec( Aig_Man_t * pNew, Rtm_Man_t * pRtm, Rtm_Obj_t * pObjRtm, int * pLatches )
+{
+ Rtm_Edg_t * pEdge;
+ Aig_Obj_t * pRes, * pFanin;
+ int k, Val;
+ if ( pObjRtm->pCopy )
+ return pObjRtm->pCopy;
+ // get the inputs
+ pRes = Aig_ManConst1( pNew );
+ Rtm_ObjForEachFaninEdge( pObjRtm, pEdge, k )
+ {
+ if ( pEdge->nLats == 0 )
+ pFanin = Rtm_ManToAig_rec( pNew, pRtm, Rtm_ObjFanin(pObjRtm, k), pLatches );
+ else
+ {
+ Val = Rtm_ObjGetFirst( pRtm, pEdge );
+ pFanin = Aig_ManPi( pNew, pLatches[2*pObjRtm->Id + k] + pEdge->nLats - 1 );
+ pFanin = Aig_NotCond( pFanin, Val == RTM_VAL_ONE );
+ }
+ pFanin = Aig_NotCond( pFanin, k ? pObjRtm->fCompl1 : pObjRtm->fCompl0 );
+ pRes = Aig_And( pNew, pRes, pFanin );
+ }
+ return pObjRtm->pCopy = pRes;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Derive AIG manager after retiming.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Man_t * Rtm_ManToAig( Rtm_Man_t * pRtm )
+{
+ Aig_Man_t * pNew;
+ Aig_Obj_t * pObjNew;
+ Rtm_Obj_t * pObjRtm;
+ Rtm_Edg_t * pEdge;
+ int i, k, m, Val, nLatches, * pLatches;
+ // count latches and mark the first latch on each edge
+ pLatches = ALLOC( int, 2 * Vec_PtrSize(pRtm->vObjs) );
+ nLatches = 0;
+ Rtm_ManForEachObj( pRtm, pObjRtm, i )
+ Rtm_ObjForEachFaninEdge( pObjRtm, pEdge, k )
+ {
+ pLatches[2*pObjRtm->Id + k] = Vec_PtrSize(pRtm->vPis) + nLatches;
+ nLatches += pEdge->nLats;
+ }
+ // create the new manager
+ pNew = Aig_ManStart( Vec_PtrSize(pRtm->vObjs) + nLatches );
+ // create PIs/POs and latches
+ pObjRtm = Vec_PtrEntry( pRtm->vObjs, 0 );
+ pObjRtm->pCopy = Aig_ManConst1(pNew);
+ Rtm_ManForEachPi( pRtm, pObjRtm, i )
+ pObjRtm->pCopy = Aig_ObjCreatePi(pNew);
+ for ( i = 0; i < nLatches; i++ )
+ Aig_ObjCreatePi(pNew);
+ // create internal nodes
+ Rtm_ManForEachObj( pRtm, pObjRtm, i )
+ Rtm_ManToAig_rec( pNew, pRtm, pObjRtm, pLatches );
+ // create POs
+ Rtm_ManForEachPo( pRtm, pObjRtm, i )
+ Aig_ObjCreatePo( pNew, pObjRtm->pCopy );
+ // connect latches
+ Rtm_ManForEachObj( pRtm, pObjRtm, i )
+ Rtm_ObjForEachFaninEdge( pObjRtm, pEdge, k )
+ {
+ if ( pEdge->nLats == 0 )
+ continue;
+ pObjNew = Rtm_ObjFanin( pObjRtm, k )->pCopy;
+ for ( m = 0; m < (int)pEdge->nLats; m++ )
+ {
+ Val = Rtm_ObjGetOne( pRtm, pEdge, pEdge->nLats - 1 - m );
+ assert( Val == RTM_VAL_ZERO || Val == RTM_VAL_ONE || Val == RTM_VAL_VOID );
+ pObjNew = Aig_NotCond( pObjNew, Val == RTM_VAL_ONE );
+ Aig_ObjCreatePo( pNew, pObjNew );
+ pObjNew = Aig_ManPi( pNew, pLatches[2*pObjRtm->Id + k] + m );
+ pObjNew = Aig_NotCond( pObjNew, Val == RTM_VAL_ONE );
+ }
+// assert( Aig_Regular(pObjNew)->nRefs > 0 );
+ }
+ free( pLatches );
+ pNew->nRegs = nLatches;
+ // remove useless nodes
+ Aig_ManCleanup( pNew );
+ if ( !Aig_ManCheck( pNew ) )
+ printf( "Rtm_ManToAig: The network check has failed.\n" );
+ return pNew;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs forward retiming with the given limit on depth.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Man_t * Rtm_ManRetime( Aig_Man_t * p, int fForward, int nStepsMax, int fVerbose )
+{
+ Vec_Ptr_t * vQueue;
+ Aig_Man_t * pNew;
+ Rtm_Man_t * pRtm;
+ Rtm_Obj_t * pObj, * pNext;
+ Aig_Obj_t * pObjAig;
+ int i, k, nAutos, Degree, DegreeMax = 0;
+ int clk;
+
+ // create the retiming manager
+clk = clock();
+ pRtm = Rtm_ManFromAig( p );
+ // set registers
+ Aig_ManForEachLoSeq( p, pObjAig, i )
+ Rtm_ObjAddFirst( pRtm, Rtm_ObjEdge(pObjAig->pData, 0), fForward? RTM_VAL_ZERO : RTM_VAL_VOID );
+ // detect and mark the autonomous components
+ if ( fForward )
+ nAutos = Rtm_ManMarkAutoFwd( pRtm );
+ else
+ nAutos = Rtm_ManMarkAutoBwd( pRtm );
+ if ( fVerbose )
+ {
+ printf( "Detected %d autonomous objects. ", nAutos );
+ PRT( "Time", clock() - clk );
+ }
+
+ // set the current retiming number
+ Rtm_ManForEachObj( pRtm, pObj, i )
+ {
+ assert( pObj->nFanins == pObj->Num );
+ assert( pObj->nFanouts == pObj->Temp );
+ pObj->Num = 0;
+ }
+
+clk = clock();
+ // put the LOs on the queue
+ vQueue = Vec_PtrAlloc( 1000 );
+ if ( fForward )
+ {
+ Aig_ManForEachLoSeq( p, pObjAig, i )
+ {
+ pObj = pObjAig->pData;
+ if ( pObj->fAuto )
+ continue;
+ pObj->fMark = 1;
+ Vec_PtrPush( vQueue, pObj );
+ }
+ }
+ else
+ {
+ Aig_ManForEachLiSeq( p, pObjAig, i )
+ {
+ pObj = pObjAig->pData;
+ if ( pObj->fAuto )
+ continue;
+ pObj->fMark = 1;
+ Vec_PtrPush( vQueue, pObj );
+ }
+ }
+ // perform retiming
+ DegreeMax = 0;
+ Vec_PtrForEachEntry( vQueue, pObj, i )
+ {
+ pObj->fMark = 0;
+ // retime the node
+ if ( fForward )
+ {
+ Rtm_ObjRetimeFwd( pRtm, pObj );
+ // check if its fanouts should be retimed
+ Rtm_ObjForEachFanout( pObj, pNext, k )
+ {
+ if ( pNext->fMark ) // skip aleady scheduled
+ continue;
+ if ( pNext->Type ) // skip POs
+ continue;
+ if ( !Rtm_ObjCheckRetimeFwd( pNext ) ) // skip non-retimable
+ continue;
+ Degree = Rtm_ObjGetDegreeFwd( pNext );
+ DegreeMax = AIG_MAX( DegreeMax, Degree );
+ if ( Degree > nStepsMax ) // skip nodes with high degree
+ continue;
+ pNext->fMark = 1;
+ pNext->Num = Degree;
+ Vec_PtrPush( vQueue, pNext );
+ }
+ }
+ else
+ {
+ Rtm_ObjRetimeBwd( pRtm, pObj );
+ // check if its fanouts should be retimed
+ Rtm_ObjForEachFanin( pObj, pNext, k )
+ {
+ if ( pNext->fMark ) // skip aleady scheduled
+ continue;
+ if ( pNext->nFanins == 0 ) // skip PIs
+ continue;
+ if ( !Rtm_ObjCheckRetimeBwd( pNext ) ) // skip non-retimable
+ continue;
+ Degree = Rtm_ObjGetDegreeBwd( pNext );
+ DegreeMax = AIG_MAX( DegreeMax, Degree );
+ if ( Degree > nStepsMax ) // skip nodes with high degree
+ continue;
+ pNext->fMark = 1;
+ pNext->Num = Degree;
+ Vec_PtrPush( vQueue, pNext );
+ }
+ }
+ }
+
+ if ( fVerbose )
+ {
+ printf( "Performed %d %s latch moves of max depth %d and max latch count %d.\n",
+ Vec_PtrSize(vQueue), fForward? "fwd":"bwd", DegreeMax, Rtm_ManLatchMax(pRtm) );
+ printf( "Memory usage = %d. ", pRtm->nExtraCur );
+ PRT( "Time", clock() - clk );
+ }
+ Vec_PtrFree( vQueue );
+
+ // get the new manager
+ pNew = Rtm_ManToAig( pRtm );
+ pNew->pName = Aig_UtilStrsav( p->pName );
+ Rtm_ManFree( pRtm );
+ // group the registers
+clk = clock();
+ pNew = Aig_ManReduceLaches( pNew, fVerbose );
+ if ( fVerbose )
+ {
+ PRT( "Register sharing time", clock() - clk );
+ }
+ return pNew;
+}
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/aig/aigScl.c b/src/aig/aig/aigScl.c
new file mode 100644
index 00000000..aae088a3
--- /dev/null
+++ b/src/aig/aig/aigScl.c
@@ -0,0 +1,399 @@
+/**CFile****************************************************************
+
+ FileName [aigScl.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [AIG package.]
+
+ Synopsis [Sequential cleanup.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - April 28, 2007.]
+
+ Revision [$Id: aigScl.c,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "aig.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Remaps the manager.]
+
+ Description [Map in the array specifies for each CI nodes the node that
+ should be used after remapping.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Man_t * Aig_ManRemap( Aig_Man_t * p, Vec_Ptr_t * vMap )
+{
+ Aig_Man_t * pNew;
+ Aig_Obj_t * pObj, * pObjMapped;
+ int i;
+ // create the new manager
+ pNew = Aig_ManStart( Aig_ManObjNumMax(p) );
+ pNew->pName = Aig_UtilStrsav( p->pName );
+ pNew->nRegs = p->nRegs;
+ pNew->nAsserts = p->nAsserts;
+ if ( p->vFlopNums )
+ pNew->vFlopNums = Vec_IntDup( p->vFlopNums );
+ // create the PIs
+ Aig_ManCleanData( p );
+ Aig_ManConst1(p)->pData = Aig_ManConst1(pNew);
+ Aig_ManForEachPi( p, pObj, i )
+ pObj->pData = Aig_ObjCreatePi(pNew);
+ // implement the mapping
+ Aig_ManForEachPi( p, pObj, i )
+ {
+ pObjMapped = Vec_PtrEntry( vMap, i );
+ pObj->pData = Aig_NotCond( Aig_Regular(pObjMapped)->pData, Aig_IsComplement(pObjMapped) );
+ }
+ // duplicate internal nodes
+ Aig_ManForEachObj( p, pObj, i )
+ if ( Aig_ObjIsBuf(pObj) )
+ pObj->pData = Aig_ObjChild0Copy(pObj);
+ else if ( Aig_ObjIsNode(pObj) )
+ pObj->pData = Aig_And( pNew, Aig_ObjChild0Copy(pObj), Aig_ObjChild1Copy(pObj) );
+ // add the POs
+ Aig_ManForEachPo( p, pObj, i )
+ Aig_ObjCreatePo( pNew, Aig_ObjChild0Copy(pObj) );
+ assert( Aig_ManNodeNum(p) >= Aig_ManNodeNum(pNew) );
+ // check the resulting network
+ if ( !Aig_ManCheck(pNew) )
+ printf( "Aig_ManDup(): The check has failed.\n" );
+ return pNew;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns the number of dangling nodes removed.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ManSeqCleanup_rec( Aig_Man_t * p, Aig_Obj_t * pObj, Vec_Ptr_t * vNodes )
+{
+ if ( Aig_ObjIsTravIdCurrent(p, pObj) )
+ return;
+ Aig_ObjSetTravIdCurrent(p, pObj);
+ // collect latch input corresponding to unmarked PI (latch output)
+ if ( Aig_ObjIsPi(pObj) )
+ {
+ Vec_PtrPush( vNodes, pObj->pNext );
+ return;
+ }
+ if ( Aig_ObjIsPo(pObj) )
+ {
+ Aig_ManSeqCleanup_rec( p, Aig_ObjFanin0(pObj), vNodes );
+ return;
+ }
+ assert( Aig_ObjIsNode(pObj) );
+ Aig_ManSeqCleanup_rec( p, Aig_ObjFanin0(pObj), vNodes );
+ Aig_ManSeqCleanup_rec( p, Aig_ObjFanin1(pObj), vNodes );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns the number of dangling nodes removed.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Aig_ManSeqCleanup( Aig_Man_t * p )
+{
+ Vec_Ptr_t * vNodes, * vCis, * vCos;
+ Aig_Obj_t * pObj, * pObjLi, * pObjLo;
+ int i, nTruePis, nTruePos;
+ assert( Aig_ManBufNum(p) == 0 );
+
+ // mark the PIs
+ Aig_ManIncrementTravId( p );
+ Aig_ObjSetTravIdCurrent( p, Aig_ManConst1(p) );
+ Aig_ManForEachPiSeq( p, pObj, i )
+ Aig_ObjSetTravIdCurrent( p, pObj );
+
+ // prepare to collect nodes reachable from POs
+ vNodes = Vec_PtrAlloc( 100 );
+ Aig_ManForEachPoSeq( p, pObj, i )
+ Vec_PtrPush( vNodes, pObj );
+
+ // remember latch inputs in latch outputs
+ Aig_ManForEachLiLoSeq( p, pObjLi, pObjLo, i )
+ pObjLo->pNext = pObjLi;
+ // mark the nodes reachable from these nodes
+ Vec_PtrForEachEntry( vNodes, pObj, i )
+ Aig_ManSeqCleanup_rec( p, pObj, vNodes );
+ assert( Vec_PtrSize(vNodes) <= Aig_ManPoNum(p) );
+ // clean latch output pointers
+ Aig_ManForEachLiLoSeq( p, pObjLi, pObjLo, i )
+ pObjLo->pNext = NULL;
+
+ // if some latches are removed, update PIs/POs
+ if ( Vec_PtrSize(vNodes) < Aig_ManPoNum(p) )
+ {
+ if ( p->vFlopNums )
+ {
+ int nTruePos = Aig_ManPoNum(p)-Aig_ManRegNum(p);
+ // remember numbers of flops in the flops
+ Aig_ManForEachLiSeq( p, pObj, i )
+ pObj->pNext = (Aig_Obj_t *)(long)Vec_IntEntry( p->vFlopNums, i - nTruePos );
+ // reset the flop numbers
+ Vec_PtrForEachEntryStart( vNodes, pObj, i, nTruePos )
+ Vec_IntWriteEntry( p->vFlopNums, i - nTruePos, (int)(long)pObj->pNext );
+ Vec_IntShrink( p->vFlopNums, Vec_PtrSize(vNodes) - nTruePos );
+ // clean the next pointer
+ Aig_ManForEachLiSeq( p, pObj, i )
+ pObj->pNext = NULL;
+ }
+ // collect new CIs/COs
+ vCis = Vec_PtrAlloc( Aig_ManPiNum(p) );
+ Aig_ManForEachPi( p, pObj, i )
+ if ( Aig_ObjIsTravIdCurrent(p, pObj) )
+ Vec_PtrPush( vCis, pObj );
+ else
+ {
+ Vec_PtrWriteEntry( p->vObjs, pObj->Id, NULL );
+// Aig_ManRecycleMemory( p, pObj );
+ }
+ vCos = Vec_PtrAlloc( Aig_ManPoNum(p) );
+ Aig_ManForEachPo( p, pObj, i )
+ if ( Aig_ObjIsTravIdCurrent(p, pObj) )
+ Vec_PtrPush( vCos, pObj );
+ else
+ {
+ Aig_ObjDisconnect( p, pObj );
+ Vec_PtrWriteEntry( p->vObjs, pObj->Id, NULL );
+// Aig_ManRecycleMemory( p, pObj );
+ }
+ // remember the number of true PIs/POs
+ nTruePis = Aig_ManPiNum(p) - Aig_ManRegNum(p);
+ nTruePos = Aig_ManPoNum(p) - Aig_ManRegNum(p);
+ // set the new number of registers
+ p->nRegs -= Aig_ManPoNum(p) - Vec_PtrSize(vNodes);
+ // create new PIs/POs
+ assert( Vec_PtrSize(vCis) == nTruePis + p->nRegs );
+ assert( Vec_PtrSize(vCos) == nTruePos + p->nRegs );
+ Vec_PtrFree( p->vPis ); p->vPis = vCis;
+ Vec_PtrFree( p->vPos ); p->vPos = vCos;
+ p->nObjs[AIG_OBJ_PI] = Vec_PtrSize( p->vPis );
+ p->nObjs[AIG_OBJ_PO] = Vec_PtrSize( p->vPos );
+
+ }
+ Vec_PtrFree( vNodes );
+ // remove dangling nodes
+ return Aig_ManCleanup( p );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns the number of dangling nodes removed.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Aig_ManCountMergeRegs( Aig_Man_t * p )
+{
+ Aig_Obj_t * pObj, * pFanin;
+ int i, Counter = 0, Const0 = 0, Const1 = 0;
+ Aig_ManIncrementTravId( p );
+ Aig_ManForEachLiSeq( p, pObj, i )
+ {
+ pFanin = Aig_ObjFanin0(pObj);
+ if ( Aig_ObjIsConst1(pFanin) )
+ {
+ if ( Aig_ObjFaninC0(pObj) )
+ Const0++;
+ else
+ Const1++;
+ }
+ if ( Aig_ObjIsTravIdCurrent(p, pFanin) )
+ continue;
+ Aig_ObjSetTravIdCurrent(p, pFanin);
+ Counter++;
+ }
+ printf( "Regs = %d. Fanins = %d. Const0 = %d. Const1 = %d.\n",
+ Aig_ManRegNum(p), Counter, Const0, Const1 );
+ return 0;
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Checks how many latches can be reduced.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Aig_ManReduceLachesCount( Aig_Man_t * p )
+{
+ Aig_Obj_t * pObj, * pFanin;
+ int i, Counter = 0, Diffs = 0;
+ assert( Aig_ManRegNum(p) > 0 );
+ Aig_ManForEachObj( p, pObj, i )
+ assert( !pObj->fMarkA && !pObj->fMarkB );
+ Aig_ManForEachLiSeq( p, pObj, i )
+ {
+ pFanin = Aig_ObjFanin0(pObj);
+ if ( Aig_ObjFaninC0(pObj) )
+ {
+ if ( pFanin->fMarkB )
+ Counter++;
+ else
+ pFanin->fMarkB = 1;
+ }
+ else
+ {
+ if ( pFanin->fMarkA )
+ Counter++;
+ else
+ pFanin->fMarkA = 1;
+ }
+ }
+ // count fanins that have both attributes
+ Aig_ManForEachLiSeq( p, pObj, i )
+ {
+ pFanin = Aig_ObjFanin0(pObj);
+ Diffs += pFanin->fMarkA && pFanin->fMarkB;
+ pFanin->fMarkA = pFanin->fMarkB = 0;
+ }
+// printf( "Diffs = %d.\n", Diffs );
+ return Counter;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Reduces the latches.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Vec_Ptr_t * Aig_ManReduceLachesOnce( Aig_Man_t * p )
+{
+ Vec_Ptr_t * vMap;
+ Aig_Obj_t * pObj, * pObjLi, * pObjLo, * pFanin;
+ int * pMapping, i;
+ // start mapping by adding the true PIs
+ vMap = Vec_PtrAlloc( Aig_ManPiNum(p) );
+ Aig_ManForEachPiSeq( p, pObj, i )
+ Vec_PtrPush( vMap, pObj );
+ // create mapping of fanin nodes into the corresponding latch outputs
+ pMapping = ALLOC( int, 2 * Aig_ManObjNumMax(p) );
+ Aig_ManForEachLiLoSeq( p, pObjLi, pObjLo, i )
+ {
+ pFanin = Aig_ObjFanin0(pObjLi);
+ if ( Aig_ObjFaninC0(pObjLi) )
+ {
+ if ( pFanin->fMarkB )
+ {
+ Vec_PtrPush( vMap, Aig_ManLo(p, pMapping[2*pFanin->Id + 1]) );
+ }
+ else
+ {
+ pFanin->fMarkB = 1;
+ pMapping[2*pFanin->Id + 1] = i;
+ Vec_PtrPush( vMap, pObjLo );
+ }
+ }
+ else
+ {
+ if ( pFanin->fMarkA )
+ {
+ Vec_PtrPush( vMap, Aig_ManLo(p, pMapping[2*pFanin->Id]) );
+ }
+ else
+ {
+ pFanin->fMarkA = 1;
+ pMapping[2*pFanin->Id] = i;
+ Vec_PtrPush( vMap, pObjLo );
+ }
+ }
+ }
+ free( pMapping );
+ Aig_ManForEachLiSeq( p, pObj, i )
+ {
+ pFanin = Aig_ObjFanin0(pObj);
+ pFanin->fMarkA = pFanin->fMarkB = 0;
+ }
+ return vMap;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Reduces the latches.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Man_t * Aig_ManReduceLaches( Aig_Man_t * p, int fVerbose )
+{
+ Aig_Man_t * pTemp;
+ Vec_Ptr_t * vMap;
+ int nSaved, nCur;
+ for ( nSaved = 0; (nCur = Aig_ManReduceLachesCount(p)); nSaved += nCur )
+ {
+ if ( fVerbose )
+ {
+ printf( "Saved = %5d. ", nCur );
+ printf( "RBeg = %5d. NBeg = %6d. ", Aig_ManRegNum(p), Aig_ManNodeNum(p) );
+ }
+ vMap = Aig_ManReduceLachesOnce( p );
+ p = Aig_ManRemap( pTemp = p, vMap );
+ Aig_ManStop( pTemp );
+ Vec_PtrFree( vMap );
+ Aig_ManSeqCleanup( p );
+ if ( fVerbose )
+ {
+ printf( "REnd = %5d. NEnd = %6d. ", Aig_ManRegNum(p), Aig_ManNodeNum(p) );
+ printf( "\n" );
+ }
+ if ( p->nRegs == 0 )
+ break;
+ }
+ return p;
+}
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/aig/aigSeq.c b/src/aig/aig/aigSeq.c
new file mode 100644
index 00000000..daafeab1
--- /dev/null
+++ b/src/aig/aig/aigSeq.c
@@ -0,0 +1,502 @@
+/**CFile****************************************************************
+
+ FileName [aigSeq.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [AIG package.]
+
+ Synopsis [Sequential strashing.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - April 28, 2007.]
+
+ Revision [$Id: aigSeq.c,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "aig.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Converts combinational AIG manager into a sequential one.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ManSeqStrashConvert( Aig_Man_t * p, int nLatches, int * pInits )
+{
+ Aig_Obj_t * pObjLi, * pObjLo, * pLatch;
+ int i;
+ assert( Vec_PtrSize( p->vBufs ) == 0 );
+ // collect the POs to be converted into latches
+ for ( i = 0; i < nLatches; i++ )
+ {
+ // get the corresponding PI/PO pair
+ pObjLi = Aig_ManPo( p, Aig_ManPoNum(p) - nLatches + i );
+ pObjLo = Aig_ManPi( p, Aig_ManPiNum(p) - nLatches + i );
+ // create latch
+ pLatch = Aig_Latch( p, Aig_ObjChild0(pObjLi), pInits? pInits[i] : 0 );
+ // recycle the old PO object
+ Aig_ObjDisconnect( p, pObjLi );
+ Vec_PtrWriteEntry( p->vObjs, pObjLi->Id, NULL );
+ Aig_ManRecycleMemory( p, pObjLi );
+ // convert the corresponding PI to be a buffer and connect it to the latch
+ pObjLo->Type = AIG_OBJ_BUF;
+ Aig_ObjConnect( p, pObjLo, pLatch, NULL );
+ // save the buffer
+// Vec_PtrPush( p->vBufs, pObjLo );
+ }
+ // shrink the arrays
+ Vec_PtrShrink( p->vPis, Aig_ManPiNum(p) - nLatches );
+ Vec_PtrShrink( p->vPos, Aig_ManPoNum(p) - nLatches );
+ // update the counters of different objects
+ p->nObjs[AIG_OBJ_PI] -= nLatches;
+ p->nObjs[AIG_OBJ_PO] -= nLatches;
+ p->nObjs[AIG_OBJ_BUF] += nLatches;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Collects internal nodes in the DFS order.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ManDfsSeq_rec( Aig_Man_t * p, Aig_Obj_t * pObj, Vec_Ptr_t * vNodes )
+{
+ assert( !Aig_IsComplement(pObj) );
+ if ( pObj == NULL )
+ return;
+ if ( Aig_ObjIsTravIdCurrent( p, pObj ) )
+ return;
+ Aig_ObjSetTravIdCurrent( p, pObj );
+ if ( Aig_ObjIsPi(pObj) || Aig_ObjIsConst1(pObj) )
+ return;
+ Aig_ManDfsSeq_rec( p, Aig_ObjFanin0(pObj), vNodes );
+ Aig_ManDfsSeq_rec( p, Aig_ObjFanin1(pObj), vNodes );
+// if ( (Aig_ObjFanin0(pObj) == NULL || Aig_ObjIsBuf(Aig_ObjFanin0(pObj))) &&
+// (Aig_ObjFanin1(pObj) == NULL || Aig_ObjIsBuf(Aig_ObjFanin1(pObj))) )
+ Vec_PtrPush( vNodes, pObj );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Collects internal nodes in the DFS order.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Vec_Ptr_t * Aig_ManDfsSeq( Aig_Man_t * p )
+{
+ Vec_Ptr_t * vNodes;
+ Aig_Obj_t * pObj;
+ int i;
+ Aig_ManIncrementTravId( p );
+ vNodes = Vec_PtrAlloc( Aig_ManNodeNum(p) );
+ Aig_ManForEachPo( p, pObj, i )
+ Aig_ManDfsSeq_rec( p, Aig_ObjFanin0(pObj), vNodes );
+ return vNodes;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Collects internal nodes in the DFS order.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ManDfsUnreach_rec( Aig_Man_t * p, Aig_Obj_t * pObj, Vec_Ptr_t * vNodes )
+{
+ assert( !Aig_IsComplement(pObj) );
+ if ( pObj == NULL )
+ return;
+ if ( Aig_ObjIsTravIdPrevious(p, pObj) || Aig_ObjIsTravIdCurrent(p, pObj) )
+ return;
+ Aig_ObjSetTravIdPrevious( p, pObj ); // assume unknown
+ Aig_ManDfsUnreach_rec( p, Aig_ObjFanin0(pObj), vNodes );
+ Aig_ManDfsUnreach_rec( p, Aig_ObjFanin1(pObj), vNodes );
+ if ( Aig_ObjIsTravIdPrevious(p, Aig_ObjFanin0(pObj)) &&
+ (Aig_ObjFanin1(pObj) == NULL || Aig_ObjIsTravIdPrevious(p, Aig_ObjFanin1(pObj))) )
+ Vec_PtrPush( vNodes, pObj );
+ else
+ Aig_ObjSetTravIdCurrent( p, pObj );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Collects internal nodes unreachable from PIs.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Vec_Ptr_t * Aig_ManDfsUnreach( Aig_Man_t * p )
+{
+ Vec_Ptr_t * vNodes;
+ Aig_Obj_t * pObj, * pFanin;
+ int i, k;//, RetValue;
+ // collect unreachable nodes
+ Aig_ManIncrementTravId( p );
+ Aig_ManIncrementTravId( p );
+ // mark the constant and PIs
+ Aig_ObjSetTravIdPrevious( p, Aig_ManConst1(p) );
+ Aig_ManForEachPi( p, pObj, i )
+ Aig_ObjSetTravIdCurrent( p, pObj );
+ // curr marks visited nodes reachable from PIs
+ // prev marks visited nodes unreachable or unknown
+
+ // collect the unreachable nodes
+ vNodes = Vec_PtrAlloc( 32 );
+ Aig_ManForEachPo( p, pObj, i )
+ Aig_ManDfsUnreach_rec( p, Aig_ObjFanin0(pObj), vNodes );
+
+ // refine resulting nodes
+ do
+ {
+ k = 0;
+ Vec_PtrForEachEntry( vNodes, pObj, i )
+ {
+ assert( Aig_ObjIsTravIdPrevious(p, pObj) );
+ if ( Aig_ObjIsLatch(pObj) || Aig_ObjIsBuf(pObj) )
+ {
+ pFanin = Aig_ObjFanin0(pObj);
+ assert( Aig_ObjIsTravIdPrevious(p, pFanin) || Aig_ObjIsTravIdCurrent(p, pFanin) );
+ if ( Aig_ObjIsTravIdCurrent(p, pFanin) )
+ {
+ Aig_ObjSetTravIdCurrent( p, pObj );
+ continue;
+ }
+ }
+ else // AND gate
+ {
+ assert( Aig_ObjIsNode(pObj) );
+ pFanin = Aig_ObjFanin0(pObj);
+ assert( Aig_ObjIsTravIdPrevious(p, pFanin) || Aig_ObjIsTravIdCurrent(p, pFanin) );
+ if ( Aig_ObjIsTravIdCurrent(p, pFanin) )
+ {
+ Aig_ObjSetTravIdCurrent( p, pObj );
+ continue;
+ }
+ pFanin = Aig_ObjFanin1(pObj);
+ assert( Aig_ObjIsTravIdPrevious(p, pFanin) || Aig_ObjIsTravIdCurrent(p, pFanin) );
+ if ( Aig_ObjIsTravIdCurrent(p, pFanin) )
+ {
+ Aig_ObjSetTravIdCurrent( p, pObj );
+ continue;
+ }
+ }
+ // write it back
+ Vec_PtrWriteEntry( vNodes, k++, pObj );
+ }
+ Vec_PtrShrink( vNodes, k );
+ }
+ while ( k < i );
+
+// if ( Vec_PtrSize(vNodes) > 0 )
+// printf( "Found %d unreachable.\n", Vec_PtrSize(vNodes) );
+ return vNodes;
+
+/*
+ // the resulting array contains all unreachable nodes except const 1
+ if ( Vec_PtrSize(vNodes) == 0 )
+ {
+ Vec_PtrFree( vNodes );
+ return 0;
+ }
+ RetValue = Vec_PtrSize(vNodes);
+
+ // mark these nodes
+ Aig_ManIncrementTravId( p );
+ Vec_PtrForEachEntry( vNodes, pObj, i )
+ Aig_ObjSetTravIdCurrent( p, pObj );
+ Vec_PtrFree( vNodes );
+ return RetValue;
+*/
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Removes nodes that do not fanout into POs.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Aig_ManRemoveUnmarked( Aig_Man_t * p )
+{
+ Vec_Ptr_t * vNodes;
+ Aig_Obj_t * pObj;
+ int i, RetValue;
+ // collect unmarked nodes
+ vNodes = Vec_PtrAlloc( 100 );
+ Aig_ManForEachObj( p, pObj, i )
+ {
+ if ( Aig_ObjIsTerm(pObj) )
+ continue;
+ if ( Aig_ObjIsTravIdCurrent(p, pObj) )
+ continue;
+//Aig_ObjPrintVerbose( pObj, 0 );
+ Aig_ObjDisconnect( p, pObj );
+ Vec_PtrPush( vNodes, pObj );
+ }
+ if ( Vec_PtrSize(vNodes) == 0 )
+ {
+ Vec_PtrFree( vNodes );
+ return 0;
+ }
+ // remove the dangling objects
+ RetValue = Vec_PtrSize(vNodes);
+ Vec_PtrForEachEntry( vNodes, pObj, i )
+ Aig_ObjDelete( p, pObj );
+// printf( "Removed %d dangling.\n", Vec_PtrSize(vNodes) );
+ Vec_PtrFree( vNodes );
+ return RetValue;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Rehashes the nodes.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Aig_ManSeqRehashOne( Aig_Man_t * p, Vec_Ptr_t * vNodes, Vec_Ptr_t * vUnreach )
+{
+ Aig_Obj_t * pObj, * pObjNew, * pFanin0, * pFanin1;
+ int i, RetValue = 0, Counter = 0;//, Counter2 = 0;
+
+ // mark the unreachable nodes
+ Aig_ManIncrementTravId( p );
+ Vec_PtrForEachEntry( vUnreach, pObj, i )
+ Aig_ObjSetTravIdCurrent(p, pObj);
+/*
+ // count the number of unreachable object connections
+ // that is the number of unreachable objects connected to main objects
+ Aig_ManForEachObj( p, pObj, i )
+ {
+ if ( Aig_ObjIsTravIdCurrent(p, pObj) )
+ continue;
+
+ pFanin0 = Aig_ObjFanin0(pObj);
+ if ( pFanin0 == NULL )
+ continue;
+ if ( Aig_ObjIsTravIdCurrent(p, pFanin0) )
+ pFanin0->fMarkA = 1;
+
+ pFanin1 = Aig_ObjFanin1(pObj);
+ if ( pFanin1 == NULL )
+ continue;
+ if ( Aig_ObjIsTravIdCurrent(p, pFanin1) )
+ pFanin1->fMarkA = 1;
+ }
+
+ // count the objects
+ Aig_ManForEachObj( p, pObj, i )
+ Counter2 += pObj->fMarkA, pObj->fMarkA = 0;
+ printf( "Connections = %d.\n", Counter2 );
+*/
+
+ // go through the nodes while skipping unreachable
+ Vec_PtrForEachEntry( vNodes, pObj, i )
+ {
+ // skip nodes unreachable from the PIs
+ if ( Aig_ObjIsTravIdCurrent(p, pObj) )
+ continue;
+ // process the node
+ if ( Aig_ObjIsPo(pObj) )
+ {
+ if ( !Aig_ObjIsBuf(Aig_ObjFanin0(pObj)) )
+ continue;
+ pFanin0 = Aig_ObjReal_rec( Aig_ObjChild0(pObj) );
+ Aig_ObjPatchFanin0( p, pObj, pFanin0 );
+ continue;
+ }
+ if ( Aig_ObjIsLatch(pObj) )
+ {
+ if ( !Aig_ObjIsBuf(Aig_ObjFanin0(pObj)) )
+ continue;
+ pObjNew = Aig_ObjReal_rec( Aig_ObjChild0(pObj) );
+ pObjNew = Aig_Latch( p, pObjNew, 0 );
+ Aig_ObjReplace( p, pObj, pObjNew, 1, 0 );
+ RetValue = 1;
+ Counter++;
+ continue;
+ }
+ if ( Aig_ObjIsNode(pObj) )
+ {
+ if ( !Aig_ObjIsBuf(Aig_ObjFanin0(pObj)) && !Aig_ObjIsBuf(Aig_ObjFanin1(pObj)) )
+ continue;
+ pFanin0 = Aig_ObjReal_rec( Aig_ObjChild0(pObj) );
+ pFanin1 = Aig_ObjReal_rec( Aig_ObjChild1(pObj) );
+ pObjNew = Aig_And( p, pFanin0, pFanin1 );
+ Aig_ObjReplace( p, pObj, pObjNew, 1, 0 );
+ RetValue = 1;
+ Counter++;
+ continue;
+ }
+ }
+// printf( "Rehashings = %d.\n", Counter++ );
+ return RetValue;
+}
+
+/**Function*************************************************************
+
+ Synopsis [If AIG contains buffers, this procedure removes them.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ManRemoveBuffers( Aig_Man_t * p )
+{
+ Aig_Obj_t * pObj, * pObjNew, * pFanin0, * pFanin1;
+ int i;
+ if ( Aig_ManBufNum(p) == 0 )
+ return;
+ Aig_ManForEachObj( p, pObj, i )
+ {
+ if ( Aig_ObjIsPo(pObj) )
+ {
+ if ( !Aig_ObjIsBuf(Aig_ObjFanin0(pObj)) )
+ continue;
+ pFanin0 = Aig_ObjReal_rec( Aig_ObjChild0(pObj) );
+ Aig_ObjPatchFanin0( p, pObj, pFanin0 );
+ }
+ else if ( Aig_ObjIsLatch(pObj) )
+ {
+ if ( !Aig_ObjIsBuf(Aig_ObjFanin0(pObj)) )
+ continue;
+ pFanin0 = Aig_ObjReal_rec( Aig_ObjChild0(pObj) );
+ pObjNew = Aig_Latch( p, pFanin0, 0 );
+ Aig_ObjReplace( p, pObj, pObjNew, 0, 0 );
+ }
+ else if ( Aig_ObjIsAnd(pObj) )
+ {
+ if ( !Aig_ObjIsBuf(Aig_ObjFanin0(pObj)) && !Aig_ObjIsBuf(Aig_ObjFanin1(pObj)) )
+ continue;
+ pFanin0 = Aig_ObjReal_rec( Aig_ObjChild0(pObj) );
+ pFanin1 = Aig_ObjReal_rec( Aig_ObjChild1(pObj) );
+ pObjNew = Aig_And( p, pFanin0, pFanin1 );
+ Aig_ObjReplace( p, pObj, pObjNew, 0, 0 );
+ }
+ }
+ assert( Aig_ManBufNum(p) == 0 );
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Aig_ManSeqStrash( Aig_Man_t * p, int nLatches, int * pInits )
+{
+ Vec_Ptr_t * vNodes, * vUnreach;
+// Aig_Obj_t * pObj, * pFanin;
+// int i;
+ int Iter, RetValue = 1;
+
+ // create latches out of the additional PI/PO pairs
+ Aig_ManSeqStrashConvert( p, nLatches, pInits );
+
+ // iteratively rehash the network
+ for ( Iter = 0; RetValue; Iter++ )
+ {
+// Aig_ManPrintStats( p );
+/*
+ Aig_ManForEachObj( p, pObj, i )
+ {
+ assert( pObj->Type > 0 );
+ pFanin = Aig_ObjFanin0(pObj);
+ assert( pFanin == NULL || pFanin->Type > 0 );
+ pFanin = Aig_ObjFanin1(pObj);
+ assert( pFanin == NULL || pFanin->Type > 0 );
+ }
+*/
+ // mark nodes unreachable from the PIs
+ vUnreach = Aig_ManDfsUnreach( p );
+ if ( Iter == 0 && Vec_PtrSize(vUnreach) > 0 )
+ printf( "Unreachable objects = %d.\n", Vec_PtrSize(vUnreach) );
+ // collect nodes reachable from the POs
+ vNodes = Aig_ManDfsSeq( p );
+ // remove nodes unreachable from the POs
+ if ( Iter == 0 )
+ Aig_ManRemoveUnmarked( p );
+ // continue rehashing as long as there are changes
+ RetValue = Aig_ManSeqRehashOne( p, vNodes, vUnreach );
+ Vec_PtrFree( vNodes );
+ Vec_PtrFree( vUnreach );
+ }
+
+ // perform the final cleanup
+ Aig_ManIncrementTravId( p );
+ vNodes = Aig_ManDfsSeq( p );
+ Aig_ManRemoveUnmarked( p );
+ Vec_PtrFree( vNodes );
+ // remove buffers if they are left
+// Aig_ManRemoveBuffers( p );
+
+ // clean up
+ if ( !Aig_ManCheck( p ) )
+ {
+ printf( "Aig_ManSeqStrash: The network check has failed.\n" );
+ return 0;
+ }
+ return 1;
+
+}
+
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/aig/aigShow.c b/src/aig/aig/aigShow.c
new file mode 100644
index 00000000..96b0e37f
--- /dev/null
+++ b/src/aig/aig/aigShow.c
@@ -0,0 +1,356 @@
+/**CFile****************************************************************
+
+ FileName [ivyShow.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [And-Inverter Graph package.]
+
+ Synopsis [Visualization of HAIG.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - May 11, 2006.]
+
+ Revision [$Id: ivyShow.c,v 1.00 2006/05/11 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "aig.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Writes the graph structure of AIG for DOT.]
+
+ Description [Useful for graph visualization using tools such as GraphViz:
+ http://www.graphviz.org/]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_WriteDotAig( Aig_Man_t * pMan, char * pFileName, int fHaig, Vec_Ptr_t * vBold )
+{
+ FILE * pFile;
+ Aig_Obj_t * pNode;//, * pTemp, * pPrev;
+ int LevelMax, Level, i;
+
+ if ( Aig_ManNodeNum(pMan) > 200 )
+ {
+ fprintf( stdout, "Cannot visualize AIG with more than 200 nodes.\n" );
+ return;
+ }
+ if ( (pFile = fopen( pFileName, "w" )) == NULL )
+ {
+ fprintf( stdout, "Cannot open the intermediate file \"%s\".\n", pFileName );
+ return;
+ }
+
+ // mark the nodes
+ if ( vBold )
+ Vec_PtrForEachEntry( vBold, pNode, i )
+ pNode->fMarkB = 1;
+
+ // compute levels
+// LevelMax = 1 + Aig_ManSetLevels( pMan, fHaig );
+ LevelMax = 1 + Aig_ManLevels( pMan );
+ Aig_ManForEachPo( pMan, pNode, i )
+ pNode->Level = LevelMax;
+
+ // write the DOT header
+ fprintf( pFile, "# %s\n", "AIG structure generated by IVY package" );
+ fprintf( pFile, "\n" );
+ fprintf( pFile, "digraph AIG {\n" );
+ fprintf( pFile, "size = \"7.5,10\";\n" );
+// fprintf( pFile, "ranksep = 0.5;\n" );
+// fprintf( pFile, "nodesep = 0.5;\n" );
+ fprintf( pFile, "center = true;\n" );
+// fprintf( pFile, "orientation = landscape;\n" );
+// fprintf( pFile, "edge [fontsize = 10];\n" );
+// fprintf( pFile, "edge [dir = none];\n" );
+ fprintf( pFile, "edge [dir = back];\n" );
+ fprintf( pFile, "\n" );
+
+ // labels on the left of the picture
+ fprintf( pFile, "{\n" );
+ fprintf( pFile, " node [shape = plaintext];\n" );
+ fprintf( pFile, " edge [style = invis];\n" );
+ fprintf( pFile, " LevelTitle1 [label=\"\"];\n" );
+ fprintf( pFile, " LevelTitle2 [label=\"\"];\n" );
+ // generate node names with labels
+ for ( Level = LevelMax; Level >= 0; Level-- )
+ {
+ // the visible node name
+ fprintf( pFile, " Level%d", Level );
+ fprintf( pFile, " [label = " );
+ // label name
+ fprintf( pFile, "\"" );
+ fprintf( pFile, "\"" );
+ fprintf( pFile, "];\n" );
+ }
+
+ // genetate the sequence of visible/invisible nodes to mark levels
+ fprintf( pFile, " LevelTitle1 -> LevelTitle2 ->" );
+ for ( Level = LevelMax; Level >= 0; Level-- )
+ {
+ // the visible node name
+ fprintf( pFile, " Level%d", Level );
+ // the connector
+ if ( Level != 0 )
+ fprintf( pFile, " ->" );
+ else
+ fprintf( pFile, ";" );
+ }
+ fprintf( pFile, "\n" );
+ fprintf( pFile, "}" );
+ fprintf( pFile, "\n" );
+ fprintf( pFile, "\n" );
+
+ // generate title box on top
+ fprintf( pFile, "{\n" );
+ fprintf( pFile, " rank = same;\n" );
+ fprintf( pFile, " LevelTitle1;\n" );
+ fprintf( pFile, " title1 [shape=plaintext,\n" );
+ fprintf( pFile, " fontsize=20,\n" );
+ fprintf( pFile, " fontname = \"Times-Roman\",\n" );
+ fprintf( pFile, " label=\"" );
+ fprintf( pFile, "%s", "AIG structure visualized by ABC" );
+ fprintf( pFile, "\\n" );
+ fprintf( pFile, "Benchmark \\\"%s\\\". ", "aig" );
+// fprintf( pFile, "Time was %s. ", Extra_TimeStamp() );
+ fprintf( pFile, "\"\n" );
+ fprintf( pFile, " ];\n" );
+ fprintf( pFile, "}" );
+ fprintf( pFile, "\n" );
+ fprintf( pFile, "\n" );
+
+ // generate statistics box
+ fprintf( pFile, "{\n" );
+ fprintf( pFile, " rank = same;\n" );
+ fprintf( pFile, " LevelTitle2;\n" );
+ fprintf( pFile, " title2 [shape=plaintext,\n" );
+ fprintf( pFile, " fontsize=18,\n" );
+ fprintf( pFile, " fontname = \"Times-Roman\",\n" );
+ fprintf( pFile, " label=\"" );
+ fprintf( pFile, "The set contains %d logic nodes and spans %d levels.", Aig_ManNodeNum(pMan), LevelMax );
+ fprintf( pFile, "\\n" );
+ fprintf( pFile, "\"\n" );
+ fprintf( pFile, " ];\n" );
+ fprintf( pFile, "}" );
+ fprintf( pFile, "\n" );
+ fprintf( pFile, "\n" );
+
+ // generate the COs
+ fprintf( pFile, "{\n" );
+ fprintf( pFile, " rank = same;\n" );
+ // the labeling node of this level
+ fprintf( pFile, " Level%d;\n", LevelMax );
+ // generate the CO nodes
+ Aig_ManForEachPo( pMan, pNode, i )
+ {
+/*
+ if ( fHaig || pNode->pEquiv == NULL )
+ fprintf( pFile, " Node%d%s [label = \"%d%s\"", pNode->Id,
+ (Aig_ObjIsLatch(pNode)? "_in":""), pNode->Id, (Aig_ObjIsLatch(pNode)? "_in":"") );
+ else
+ fprintf( pFile, " Node%d%s [label = \"%d%s(%d%s)\"", pNode->Id,
+ (Aig_ObjIsLatch(pNode)? "_in":""), pNode->Id, (Aig_ObjIsLatch(pNode)? "_in":""),
+ Aig_Regular(pNode->pEquiv)->Id, Aig_IsComplement(pNode->pEquiv)? "\'":"" );
+*/
+ fprintf( pFile, " Node%d [label = \"%d\"", pNode->Id, pNode->Id );
+
+ fprintf( pFile, ", shape = %s", (Aig_ObjIsLatch(pNode)? "box":"invtriangle") );
+ fprintf( pFile, ", color = coral, fillcolor = coral" );
+ fprintf( pFile, "];\n" );
+ }
+ fprintf( pFile, "}" );
+ fprintf( pFile, "\n" );
+ fprintf( pFile, "\n" );
+
+ // generate nodes of each rank
+ for ( Level = LevelMax - 1; Level > 0; Level-- )
+ {
+ fprintf( pFile, "{\n" );
+ fprintf( pFile, " rank = same;\n" );
+ // the labeling node of this level
+ fprintf( pFile, " Level%d;\n", Level );
+ Aig_ManForEachObj( pMan, pNode, i )
+ {
+ if ( (int)pNode->Level != Level )
+ continue;
+/*
+ if ( fHaig || pNode->pEquiv == NULL )
+ fprintf( pFile, " Node%d [label = \"%d\"", pNode->Id, pNode->Id );
+ else
+ fprintf( pFile, " Node%d [label = \"%d(%d%s)\"", pNode->Id, pNode->Id,
+ Aig_Regular(pNode->pEquiv)->Id, Aig_IsComplement(pNode->pEquiv)? "\'":"" );
+*/
+ fprintf( pFile, " Node%d [label = \"%d\"", pNode->Id, pNode->Id );
+
+ fprintf( pFile, ", shape = ellipse" );
+ if ( vBold && pNode->fMarkB )
+ fprintf( pFile, ", style = filled" );
+ fprintf( pFile, "];\n" );
+ }
+ fprintf( pFile, "}" );
+ fprintf( pFile, "\n" );
+ fprintf( pFile, "\n" );
+ }
+
+ // generate the CI nodes
+ fprintf( pFile, "{\n" );
+ fprintf( pFile, " rank = same;\n" );
+ // the labeling node of this level
+ fprintf( pFile, " Level%d;\n", 0 );
+ // generate constant node
+ if ( Aig_ObjRefs(Aig_ManConst1(pMan)) > 0 )
+ {
+ pNode = Aig_ManConst1(pMan);
+ // check if the costant node is present
+ fprintf( pFile, " Node%d [label = \"Const1\"", pNode->Id );
+ fprintf( pFile, ", shape = ellipse" );
+ fprintf( pFile, ", color = coral, fillcolor = coral" );
+ fprintf( pFile, "];\n" );
+ }
+ // generate the CI nodes
+ Aig_ManForEachPi( pMan, pNode, i )
+ {
+/*
+ if ( fHaig || pNode->pEquiv == NULL )
+ fprintf( pFile, " Node%d%s [label = \"%d%s\"", pNode->Id,
+ (Aig_ObjIsLatch(pNode)? "_out":""), pNode->Id, (Aig_ObjIsLatch(pNode)? "_out":"") );
+ else
+ fprintf( pFile, " Node%d%s [label = \"%d%s(%d%s)\"", pNode->Id,
+ (Aig_ObjIsLatch(pNode)? "_out":""), pNode->Id, (Aig_ObjIsLatch(pNode)? "_out":""),
+ Aig_Regular(pNode->pEquiv)->Id, Aig_IsComplement(pNode->pEquiv)? "\'":"" );
+*/
+ fprintf( pFile, " Node%d [label = \"%d\"", pNode->Id, pNode->Id );
+
+ fprintf( pFile, ", shape = %s", (Aig_ObjIsLatch(pNode)? "box":"triangle") );
+ fprintf( pFile, ", color = coral, fillcolor = coral" );
+ fprintf( pFile, "];\n" );
+ }
+ fprintf( pFile, "}" );
+ fprintf( pFile, "\n" );
+ fprintf( pFile, "\n" );
+
+ // generate invisible edges from the square down
+ fprintf( pFile, "title1 -> title2 [style = invis];\n" );
+ Aig_ManForEachPo( pMan, pNode, i )
+ fprintf( pFile, "title2 -> Node%d%s [style = invis];\n", pNode->Id, (Aig_ObjIsLatch(pNode)? "_in":"") );
+
+ // generate edges
+ Aig_ManForEachObj( pMan, pNode, i )
+ {
+ if ( !Aig_ObjIsNode(pNode) && !Aig_ObjIsPo(pNode) && !Aig_ObjIsBuf(pNode) )
+ continue;
+ // generate the edge from this node to the next
+ fprintf( pFile, "Node%d%s", pNode->Id, (Aig_ObjIsLatch(pNode)? "_in":"") );
+ fprintf( pFile, " -> " );
+ fprintf( pFile, "Node%d%s", Aig_ObjFaninId0(pNode), (Aig_ObjIsLatch(Aig_ObjFanin0(pNode))? "_out":"") );
+ fprintf( pFile, " [" );
+ fprintf( pFile, "style = %s", Aig_ObjFaninC0(pNode)? "dotted" : "bold" );
+// if ( Aig_NtkIsSeq(pNode->pMan) && Seq_ObjFaninL0(pNode) > 0 )
+// fprintf( pFile, ", label = \"%s\"", Seq_ObjFaninGetInitPrintable(pNode,0) );
+ fprintf( pFile, "]" );
+ fprintf( pFile, ";\n" );
+ if ( !Aig_ObjIsNode(pNode) )
+ continue;
+ // generate the edge from this node to the next
+ fprintf( pFile, "Node%d", pNode->Id );
+ fprintf( pFile, " -> " );
+ fprintf( pFile, "Node%d%s", Aig_ObjFaninId1(pNode), (Aig_ObjIsLatch(Aig_ObjFanin1(pNode))? "_out":"") );
+ fprintf( pFile, " [" );
+ fprintf( pFile, "style = %s", Aig_ObjFaninC1(pNode)? "dotted" : "bold" );
+// if ( Aig_NtkIsSeq(pNode->pMan) && Seq_ObjFaninL1(pNode) > 0 )
+// fprintf( pFile, ", label = \"%s\"", Seq_ObjFaninGetInitPrintable(pNode,1) );
+ fprintf( pFile, "]" );
+ fprintf( pFile, ";\n" );
+/*
+ // generate the edges between the equivalent nodes
+ if ( fHaig && pNode->pEquiv && Aig_ObjRefs(pNode) > 0 )
+ {
+ pPrev = pNode;
+ for ( pTemp = pNode->pEquiv; pTemp != pNode; pTemp = Aig_Regular(pTemp->pEquiv) )
+ {
+ fprintf( pFile, "Node%d", pPrev->Id );
+ fprintf( pFile, " -> " );
+ fprintf( pFile, "Node%d", pTemp->Id );
+ fprintf( pFile, " [style = %s]", Aig_IsComplement(pTemp->pEquiv)? "dotted" : "bold" );
+ fprintf( pFile, ";\n" );
+ pPrev = pTemp;
+ }
+ // connect the last node with the first
+ fprintf( pFile, "Node%d", pPrev->Id );
+ fprintf( pFile, " -> " );
+ fprintf( pFile, "Node%d", pNode->Id );
+ fprintf( pFile, " [style = %s]", Aig_IsComplement(pPrev->pEquiv)? "dotted" : "bold" );
+ fprintf( pFile, ";\n" );
+ }
+*/
+ }
+
+ fprintf( pFile, "}" );
+ fprintf( pFile, "\n" );
+ fprintf( pFile, "\n" );
+ fclose( pFile );
+
+ // unmark nodes
+ if ( vBold )
+ Vec_PtrForEachEntry( vBold, pNode, i )
+ pNode->fMarkB = 0;
+
+ Aig_ManForEachPo( pMan, pNode, i )
+ pNode->Level = Aig_ObjFanin0(pNode)->Level;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ManShow( Aig_Man_t * pMan, int fHaig, Vec_Ptr_t * vBold )
+{
+ extern void Abc_ShowFile( char * FileNameDot );
+ static Counter = 0;
+ char FileNameDot[200];
+ FILE * pFile;
+ // create the file name
+// Aig_ShowGetFileName( pMan->pName, FileNameDot );
+ sprintf( FileNameDot, "temp%02d.dot", Counter++ );
+ // check that the file can be opened
+ if ( (pFile = fopen( FileNameDot, "w" )) == NULL )
+ {
+ fprintf( stdout, "Cannot open the intermediate file \"%s\".\n", FileNameDot );
+ return;
+ }
+ fclose( pFile );
+ // generate the file
+ Aig_WriteDotAig( pMan, FileNameDot, fHaig, vBold );
+ // visualize the file
+ Abc_ShowFile( FileNameDot );
+}
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/aig/aigTable.c b/src/aig/aig/aigTable.c
new file mode 100644
index 00000000..94593d70
--- /dev/null
+++ b/src/aig/aig/aigTable.c
@@ -0,0 +1,268 @@
+/**CFile****************************************************************
+
+ FileName [aigTable.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [AIG package.]
+
+ Synopsis [Structural hashing table.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - April 28, 2007.]
+
+ Revision [$Id: aigTable.c,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "aig.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+// hashing the node
+static unsigned long Aig_Hash( Aig_Obj_t * pObj, int TableSize )
+{
+ unsigned long Key = Aig_ObjIsExor(pObj) * 1699;
+ Key ^= Aig_ObjFanin0(pObj)->Id * 7937;
+ Key ^= Aig_ObjFanin1(pObj)->Id * 2971;
+ Key ^= Aig_ObjFaninC0(pObj) * 911;
+ Key ^= Aig_ObjFaninC1(pObj) * 353;
+ return Key % TableSize;
+}
+
+// returns the place where this node is stored (or should be stored)
+static Aig_Obj_t ** Aig_TableFind( Aig_Man_t * p, Aig_Obj_t * pObj )
+{
+ Aig_Obj_t ** ppEntry;
+ if ( Aig_ObjIsLatch(pObj) )
+ {
+ assert( Aig_ObjChild0(pObj) && Aig_ObjChild1(pObj) == NULL );
+ }
+ else
+ {
+ assert( Aig_ObjChild0(pObj) && Aig_ObjChild1(pObj) );
+ assert( Aig_ObjFanin0(pObj)->Id < Aig_ObjFanin1(pObj)->Id );
+ }
+ for ( ppEntry = p->pTable + Aig_Hash(pObj, p->nTableSize); *ppEntry; ppEntry = &(*ppEntry)->pNext )
+ if ( *ppEntry == pObj )
+ return ppEntry;
+ assert( *ppEntry == NULL );
+ return ppEntry;
+}
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Resizes the table.]
+
+ Description [Typically this procedure should not be called.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_TableResize( Aig_Man_t * p )
+{
+ Aig_Obj_t * pEntry, * pNext;
+ Aig_Obj_t ** pTableOld, ** ppPlace;
+ int nTableSizeOld, Counter, i, clk;
+clk = clock();
+ // save the old table
+ pTableOld = p->pTable;
+ nTableSizeOld = p->nTableSize;
+ // get the new table
+ p->nTableSize = Aig_PrimeCudd( 2 * Aig_ManNodeNum(p) );
+ p->pTable = ALLOC( Aig_Obj_t *, p->nTableSize );
+ memset( p->pTable, 0, sizeof(Aig_Obj_t *) * p->nTableSize );
+ // rehash the entries from the old table
+ Counter = 0;
+ for ( i = 0; i < nTableSizeOld; i++ )
+ for ( pEntry = pTableOld[i], pNext = pEntry? pEntry->pNext : NULL;
+ pEntry; pEntry = pNext, pNext = pEntry? pEntry->pNext : NULL )
+ {
+ // get the place where this entry goes in the table
+ ppPlace = Aig_TableFind( p, pEntry );
+ assert( *ppPlace == NULL ); // should not be there
+ // add the entry to the list
+ *ppPlace = pEntry;
+ pEntry->pNext = NULL;
+ Counter++;
+ }
+ assert( Counter == Aig_ManNodeNum(p) );
+// printf( "Increasing the structural table size from %6d to %6d. ", nTableSizeOld, p->nTableSize );
+// PRT( "Time", clock() - clk );
+ // replace the table and the parameters
+ free( pTableOld );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Checks if node with the given attributes is in the hash table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Obj_t * Aig_TableLookup( Aig_Man_t * p, Aig_Obj_t * pGhost )
+{
+ Aig_Obj_t * pEntry;
+ assert( !Aig_IsComplement(pGhost) );
+ if ( pGhost->Type == AIG_OBJ_LATCH )
+ {
+ assert( Aig_ObjChild0(pGhost) && Aig_ObjChild1(pGhost) == NULL );
+ if ( !Aig_ObjRefs(Aig_ObjFanin0(pGhost)) )
+ return NULL;
+ }
+ else
+ {
+ assert( pGhost->Type == AIG_OBJ_AND );
+ assert( Aig_ObjChild0(pGhost) && Aig_ObjChild1(pGhost) );
+ assert( Aig_ObjFanin0(pGhost)->Id < Aig_ObjFanin1(pGhost)->Id );
+ if ( !Aig_ObjRefs(Aig_ObjFanin0(pGhost)) || !Aig_ObjRefs(Aig_ObjFanin1(pGhost)) )
+ return NULL;
+ }
+ for ( pEntry = p->pTable[Aig_Hash(pGhost, p->nTableSize)]; pEntry; pEntry = pEntry->pNext )
+ {
+ if ( Aig_ObjChild0(pEntry) == Aig_ObjChild0(pGhost) &&
+ Aig_ObjChild1(pEntry) == Aig_ObjChild1(pGhost) &&
+ Aig_ObjType(pEntry) == Aig_ObjType(pGhost) )
+ return pEntry;
+ }
+ return NULL;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Checks if node with the given attributes is in the hash table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Obj_t * Aig_TableLookupTwo( Aig_Man_t * p, Aig_Obj_t * pFanin0, Aig_Obj_t * pFanin1 )
+{
+ Aig_Obj_t * pGhost;
+ // consider simple cases
+ if ( pFanin0 == pFanin1 )
+ return pFanin0;
+ if ( pFanin0 == Aig_Not(pFanin1) )
+ return Aig_ManConst0(p);
+ if ( Aig_Regular(pFanin0) == Aig_ManConst1(p) )
+ return pFanin0 == Aig_ManConst1(p) ? pFanin1 : Aig_ManConst0(p);
+ if ( Aig_Regular(pFanin1) == Aig_ManConst1(p) )
+ return pFanin1 == Aig_ManConst1(p) ? pFanin0 : Aig_ManConst0(p);
+ pGhost = Aig_ObjCreateGhost( p, pFanin0, pFanin1, AIG_OBJ_AND );
+ return Aig_TableLookup( p, pGhost );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Adds the new node to the hash table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_TableInsert( Aig_Man_t * p, Aig_Obj_t * pObj )
+{
+ Aig_Obj_t ** ppPlace;
+ assert( !Aig_IsComplement(pObj) );
+ assert( Aig_TableLookup(p, pObj) == NULL );
+ if ( (pObj->Id & 0xFF) == 0 && 2 * p->nTableSize < Aig_ManNodeNum(p) )
+ Aig_TableResize( p );
+ ppPlace = Aig_TableFind( p, pObj );
+ assert( *ppPlace == NULL );
+ *ppPlace = pObj;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Deletes the node from the hash table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_TableDelete( Aig_Man_t * p, Aig_Obj_t * pObj )
+{
+ Aig_Obj_t ** ppPlace;
+ assert( !Aig_IsComplement(pObj) );
+ ppPlace = Aig_TableFind( p, pObj );
+ assert( *ppPlace == pObj ); // node should be in the table
+ // remove the node
+ *ppPlace = pObj->pNext;
+ pObj->pNext = NULL;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Count the number of nodes in the table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Aig_TableCountEntries( Aig_Man_t * p )
+{
+ Aig_Obj_t * pEntry;
+ int i, Counter = 0;
+ for ( i = 0; i < p->nTableSize; i++ )
+ for ( pEntry = p->pTable[i]; pEntry; pEntry = pEntry->pNext )
+ Counter++;
+ return Counter;
+}
+
+/**Function********************************************************************
+
+ Synopsis [Profiles the hash table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+******************************************************************************/
+void Aig_TableProfile( Aig_Man_t * p )
+{
+ Aig_Obj_t * pEntry;
+ int i, Counter;
+ for ( i = 0; i < p->nTableSize; i++ )
+ {
+ Counter = 0;
+ for ( pEntry = p->pTable[i]; pEntry; pEntry = pEntry->pNext )
+ Counter++;
+ if ( Counter )
+ printf( "%d ", Counter );
+ }
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/aig/aigTime.c b/src/aig/aig/aigTime.c
new file mode 100644
index 00000000..42f5f575
--- /dev/null
+++ b/src/aig/aig/aigTime.c
@@ -0,0 +1,299 @@
+/**CFile****************************************************************
+
+ FileName [aigTime.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [AIG package.]
+
+ Synopsis [Representation of timing information.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - April 28, 2007.]
+
+ Revision [$Id: aigTime.c,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "aig.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+typedef struct Aig_TBox_t_ Aig_TBox_t;
+typedef struct Aig_TObj_t_ Aig_TObj_t;
+
+// timing manager
+struct Aig_TMan_t_
+{
+ Vec_Ptr_t * vBoxes; // the timing boxes
+ Aig_MmFlex_t * pMemObj; // memory manager for boxes
+ int nTravIds; // traversal ID of the manager
+ int nPis; // the number of PIs
+ int nPos; // the number of POs
+ Aig_TObj_t * pPis; // timing info for the PIs
+ Aig_TObj_t * pPos; // timing info for the POs
+};
+
+// timing box
+struct Aig_TBox_t_
+{
+ int iBox; // the unique ID of this box
+ int TravId; // traversal ID of this box
+ int nInputs; // the number of box inputs
+ int nOutputs; // the number of box outputs
+ int Inouts[0]; // the int numbers of PIs and POs
+};
+
+// timing object
+struct Aig_TObj_t_
+{
+ int iObj2Box; // mapping of the object into its box
+ float timeOffset; // the static timing of the node
+ float timeActual; // the actual timing of the node
+};
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Starts the network manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_TMan_t * Aig_TManStart( int nPis, int nPos )
+{
+ Aig_TMan_t * p;
+ int i;
+ p = ALLOC( Aig_TMan_t, 1 );
+ memset( p, 0, sizeof(Aig_TMan_t) );
+ p->pMemObj = Aig_MmFlexStart();
+ p->vBoxes = Vec_PtrAlloc( 100 );
+ Vec_PtrPush( p->vBoxes, NULL );
+ p->nPis = nPis;
+ p->nPos = nPos;
+ p->pPis = ALLOC( Aig_TObj_t, nPis );
+ memset( p->pPis, 0, sizeof(Aig_TObj_t) * nPis );
+ p->pPos = ALLOC( Aig_TObj_t, nPos );
+ memset( p->pPos, 0, sizeof(Aig_TObj_t) * nPos );
+ for ( i = 0; i < nPis; i++ )
+ p->pPis[i].iObj2Box = -1;
+ for ( i = 0; i < nPos; i++ )
+ p->pPos[i].iObj2Box = -1;
+ return p;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Stops the network manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_TManStop( Aig_TMan_t * p )
+{
+ Vec_PtrFree( p->vBoxes );
+ Aig_MmFlexStop( p->pMemObj, 0 );
+ free( p->pPis );
+ free( p->pPos );
+ free( p );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates the new timing box.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_TManCreateBox( Aig_TMan_t * p, int * pPis, int nPis, int * pPos, int nPos, float * pPiTimes, float * pPoTimes )
+{
+ Aig_TBox_t * pBox;
+ int i;
+ pBox = (Aig_TBox_t *)Aig_MmFlexEntryFetch( p->pMemObj, sizeof(Aig_TBox_t) + sizeof(int) * (nPis+nPos) );
+ memset( pBox, 0, sizeof(Aig_TBox_t) );
+ pBox->iBox = Vec_PtrSize( p->vBoxes );
+ Vec_PtrPush( p->vBoxes, pBox );
+ pBox->nInputs = nPis;
+ pBox->nOutputs = nPos;
+ for ( i = 0; i < nPis; i++ )
+ {
+ assert( pPis[i] < p->nPis );
+ pBox->Inouts[i] = pPis[i];
+ Aig_TManSetPiArrival( p, pPis[i], pPiTimes[i] );
+ p->pPis[pPis[i]].iObj2Box = pBox->iBox;
+ }
+ for ( i = 0; i < nPos; i++ )
+ {
+ assert( pPos[i] < p->nPos );
+ pBox->Inouts[nPis+i] = pPos[i];
+ Aig_TManSetPoRequired( p, pPos[i], pPoTimes[i] );
+ p->pPos[pPos[i]].iObj2Box = pBox->iBox;
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates the new timing box.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_TManSetPiDelay( Aig_TMan_t * p, int iPi, float Delay )
+{
+ assert( iPi < p->nPis );
+ p->pPis[iPi].timeActual = Delay;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates the new timing box.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_TManSetPoDelay( Aig_TMan_t * p, int iPo, float Delay )
+{
+ assert( iPo < p->nPos );
+ p->pPos[iPo].timeActual = Delay;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates the new timing box.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_TManSetPiArrival( Aig_TMan_t * p, int iPi, float Delay )
+{
+ assert( iPi < p->nPis );
+ p->pPis[iPi].timeOffset = Delay;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates the new timing box.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_TManSetPoRequired( Aig_TMan_t * p, int iPo, float Delay )
+{
+ assert( iPo < p->nPos );
+ p->pPos[iPo].timeOffset = Delay;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Increments the trav ID of the manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_TManIncrementTravId( Aig_TMan_t * p )
+{
+ p->nTravIds++;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns PI arrival time.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+float Aig_TManGetPiArrival( Aig_TMan_t * p, int iPi )
+{
+ Aig_TBox_t * pBox;
+ Aig_TObj_t * pObj;
+ float DelayMax;
+ int i;
+ assert( iPi < p->nPis );
+ if ( p->pPis[iPi].iObj2Box < 0 )
+ return p->pPis[iPi].timeOffset;
+ pBox = Vec_PtrEntry( p->vBoxes, p->pPis[iPi].iObj2Box );
+ // check if box timing is updated
+ if ( pBox->TravId == p->nTravIds )
+ return p->pPis[iPi].timeOffset;
+ pBox->TravId = p->nTravIds;
+ // update box timing
+ DelayMax = -1.0e+20F;
+ for ( i = 0; i < pBox->nOutputs; i++ )
+ {
+ pObj = p->pPos + pBox->Inouts[pBox->nInputs+i];
+ DelayMax = AIG_MAX( DelayMax, pObj->timeActual + pObj->timeOffset );
+ }
+ for ( i = 0; i < pBox->nInputs; i++ )
+ {
+ pObj = p->pPis + pBox->Inouts[i];
+ pObj->timeActual = DelayMax + pObj->timeOffset;
+ }
+ return p->pPis[iPi].timeActual;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns PO required time.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+float Aig_TManGetPoRequired( Aig_TMan_t * p, int iPo )
+{
+ return 0.0;
+}
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/aig/aigTiming.c b/src/aig/aig/aigTiming.c
new file mode 100644
index 00000000..de8fdc7c
--- /dev/null
+++ b/src/aig/aig/aigTiming.c
@@ -0,0 +1,351 @@
+/**CFile****************************************************************
+
+ FileName [aigTiming.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [AIG package.]
+
+ Synopsis [Incremental updating of direct/reverse AIG levels.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - April 28, 2007.]
+
+ Revision [$Id: aigTiming.c,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "aig.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Returns the reverse level of the node.]
+
+ Description [The reverse level is the level of the node in reverse
+ topological order, starting from the COs.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int Aig_ObjReverseLevel( Aig_Man_t * p, Aig_Obj_t * pObj )
+{
+ assert( p->vLevelR );
+ Vec_IntFillExtra( p->vLevelR, pObj->Id + 1, 0 );
+ return Vec_IntEntry(p->vLevelR, pObj->Id);
+}
+
+/**Function*************************************************************
+
+ Synopsis [Sets the reverse level of the node.]
+
+ Description [The reverse level is the level of the node in reverse
+ topological order, starting from the COs.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline void Aig_ObjSetReverseLevel( Aig_Man_t * p, Aig_Obj_t * pObj, int LevelR )
+{
+ assert( p->vLevelR );
+ Vec_IntFillExtra( p->vLevelR, pObj->Id + 1, 0 );
+ Vec_IntWriteEntry( p->vLevelR, pObj->Id, LevelR );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Resets reverse level of the node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ObjClearReverseLevel( Aig_Man_t * p, Aig_Obj_t * pObj )
+{
+ Aig_ObjSetReverseLevel( p, pObj, 0 );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns required level of the node.]
+
+ Description [Converts the reverse levels of the node into its required
+ level as follows: ReqLevel(Node) = MaxLevels(Ntk) + 1 - LevelR(Node).]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Aig_ObjRequiredLevel( Aig_Man_t * p, Aig_Obj_t * pObj )
+{
+ assert( p->vLevelR );
+ return p->nLevelMax + 1 - Aig_ObjReverseLevel(p, pObj);
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes the reverse level of the node using its fanout levels.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Aig_ObjReverseLevelNew( Aig_Man_t * p, Aig_Obj_t * pObj )
+{
+ Aig_Obj_t * pFanout;
+ int i, iFanout = -1, LevelCur, Level = 0;
+ Aig_ObjForEachFanout( p, pObj, pFanout, iFanout, i )
+ {
+ LevelCur = Aig_ObjReverseLevel( p, pFanout );
+ Level = AIG_MAX( Level, LevelCur );
+ }
+ return Level + 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Prepares for the computation of required levels.]
+
+ Description [This procedure should be called before the required times
+ are used. It starts internal data structures, which records the level
+ from the COs of the network nodes in reverse topologogical order.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ManStartReverseLevels( Aig_Man_t * p, int nMaxLevelIncrease )
+{
+ Vec_Ptr_t * vNodes;
+ Aig_Obj_t * pObj;
+ int i;
+ assert( p->pFanData != NULL );
+ assert( p->vLevelR == NULL );
+ // remember the maximum number of direct levels
+ p->nLevelMax = Aig_ManLevels(p) + nMaxLevelIncrease;
+ // start the reverse levels
+ p->vLevelR = Vec_IntAlloc( 0 );
+ Vec_IntFill( p->vLevelR, Aig_ManObjNumMax(p), 0 );
+ // compute levels in reverse topological order
+ vNodes = Aig_ManDfsReverse( p );
+ Vec_PtrForEachEntry( vNodes, pObj, i )
+ {
+ assert( pObj->fMarkA == 0 );
+ Aig_ObjSetReverseLevel( p, pObj, Aig_ObjReverseLevelNew(p, pObj) );
+ }
+ Vec_PtrFree( vNodes );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Cleans the data structures used to compute required levels.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ManStopReverseLevels( Aig_Man_t * p )
+{
+ assert( p->vLevelR != NULL );
+ Vec_IntFree( p->vLevelR );
+ p->vLevelR = NULL;
+ p->nLevelMax = 0;
+
+}
+
+/**Function*************************************************************
+
+ Synopsis [Incrementally updates level of the nodes.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ManUpdateLevel( Aig_Man_t * p, Aig_Obj_t * pObjNew )
+{
+ Aig_Obj_t * pFanout, * pTemp;
+ int iFanout = -1, LevelOld, Lev, k, m;
+ assert( p->pFanData != NULL );
+ assert( Aig_ObjIsNode(pObjNew) );
+ // allocate level if needed
+ if ( p->vLevels == NULL )
+ p->vLevels = Vec_VecAlloc( Aig_ManLevels(p) + 8 );
+ // check if level has changed
+ LevelOld = Aig_ObjLevel(pObjNew);
+ if ( LevelOld == Aig_ObjLevelNew(pObjNew) )
+ return;
+ // start the data structure for level update
+ // we cannot fail to visit a node when using this structure because the
+ // nodes are stored by their _old_ levels, which are assumed to be correct
+ Vec_VecClear( p->vLevels );
+ Vec_VecPush( p->vLevels, LevelOld, pObjNew );
+ pObjNew->fMarkA = 1;
+ // recursively update level
+ Vec_VecForEachEntryStart( p->vLevels, pTemp, Lev, k, LevelOld )
+ {
+ pTemp->fMarkA = 0;
+ assert( Aig_ObjLevel(pTemp) == Lev );
+ pTemp->Level = Aig_ObjLevelNew(pTemp);
+ // if the level did not change, no need to check the fanout levels
+ if ( Aig_ObjLevel(pTemp) == Lev )
+ continue;
+ // schedule fanout for level update
+ Aig_ObjForEachFanout( p, pTemp, pFanout, iFanout, m )
+ {
+ if ( Aig_ObjIsNode(pFanout) && !pFanout->fMarkA )
+ {
+ assert( Aig_ObjLevel(pFanout) >= Lev );
+ Vec_VecPush( p->vLevels, Aig_ObjLevel(pFanout), pFanout );
+ pFanout->fMarkA = 1;
+ }
+ }
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Incrementally updates level of the nodes.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ManUpdateReverseLevel( Aig_Man_t * p, Aig_Obj_t * pObjNew )
+{
+ Aig_Obj_t * pFanin, * pTemp;
+ int LevelOld, LevFanin, Lev, k;
+ assert( p->vLevelR != NULL );
+ assert( Aig_ObjIsNode(pObjNew) );
+ // allocate level if needed
+ if ( p->vLevels == NULL )
+ p->vLevels = Vec_VecAlloc( Aig_ManLevels(p) + 8 );
+ // check if level has changed
+ LevelOld = Aig_ObjReverseLevel(p, pObjNew);
+ if ( LevelOld == Aig_ObjReverseLevelNew(p, pObjNew) )
+ return;
+ // start the data structure for level update
+ // we cannot fail to visit a node when using this structure because the
+ // nodes are stored by their _old_ levels, which are assumed to be correct
+ Vec_VecClear( p->vLevels );
+ Vec_VecPush( p->vLevels, LevelOld, pObjNew );
+ pObjNew->fMarkA = 1;
+ // recursively update level
+ Vec_VecForEachEntryStart( p->vLevels, pTemp, Lev, k, LevelOld )
+ {
+ pTemp->fMarkA = 0;
+ LevelOld = Aig_ObjReverseLevel(p, pTemp);
+ assert( LevelOld == Lev );
+ Aig_ObjSetReverseLevel( p, pTemp, Aig_ObjReverseLevelNew(p, pTemp) );
+ // if the level did not change, to need to check the fanout levels
+ if ( Aig_ObjReverseLevel(p, pTemp) == Lev )
+ continue;
+ // schedule fanins for level update
+ pFanin = Aig_ObjFanin0(pTemp);
+ if ( Aig_ObjIsNode(pFanin) && !pFanin->fMarkA )
+ {
+ LevFanin = Aig_ObjReverseLevel( p, pFanin );
+ assert( LevFanin >= Lev );
+ Vec_VecPush( p->vLevels, LevFanin, pFanin );
+ pFanin->fMarkA = 1;
+ }
+ pFanin = Aig_ObjFanin1(pTemp);
+ if ( Aig_ObjIsNode(pFanin) && !pFanin->fMarkA )
+ {
+ LevFanin = Aig_ObjReverseLevel( p, pFanin );
+ assert( LevFanin >= Lev );
+ Vec_VecPush( p->vLevels, LevFanin, pFanin );
+ pFanin->fMarkA = 1;
+ }
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Verifies direct level of the nodes.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ManVerifyLevel( Aig_Man_t * p )
+{
+ Aig_Obj_t * pObj;
+ int i, Counter = 0;
+ assert( p->pFanData );
+ Aig_ManForEachNode( p, pObj, i )
+ if ( Aig_ObjLevel(pObj) != Aig_ObjLevelNew(pObj) )
+ {
+ printf( "Level of node %6d should be %4d instead of %4d.\n",
+ pObj->Id, Aig_ObjLevelNew(pObj), Aig_ObjLevel(pObj) );
+ Counter++;
+ }
+ if ( Counter )
+ printf( "Levels of %d nodes are incorrect.\n", Counter );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Verifies reverse level of the nodes.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ManVerifyReverseLevel( Aig_Man_t * p )
+{
+ Aig_Obj_t * pObj;
+ int i, Counter = 0;
+ assert( p->vLevelR );
+ Aig_ManForEachNode( p, pObj, i )
+ if ( Aig_ObjLevel(pObj) != Aig_ObjLevelNew(pObj) )
+ {
+ printf( "Reverse level of node %6d should be %4d instead of %4d.\n",
+ pObj->Id, Aig_ObjReverseLevelNew(p, pObj), Aig_ObjReverseLevel(p, pObj) );
+ Counter++;
+ }
+ if ( Counter )
+ printf( "Reverse levels of %d nodes are incorrect.\n", Counter );
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/aig/aigTruth.c b/src/aig/aig/aigTruth.c
new file mode 100644
index 00000000..a92f9e1d
--- /dev/null
+++ b/src/aig/aig/aigTruth.c
@@ -0,0 +1,98 @@
+/**CFile****************************************************************
+
+ FileName [aigTruth.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [AIG package.]
+
+ Synopsis [Computes truth table for the cut.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - April 28, 2007.]
+
+ Revision [$Id: aigTruth.c,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "aig.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Computes truth table of the cut.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+unsigned * Aig_ManCutTruthOne( Aig_Obj_t * pNode, unsigned * pTruth, int nWords )
+{
+ unsigned * pTruth0, * pTruth1;
+ int i;
+ pTruth0 = Aig_ObjFanin0(pNode)->pData;
+ pTruth1 = Aig_ObjFanin1(pNode)->pData;
+ if ( Aig_ObjIsExor(pNode) )
+ for ( i = 0; i < nWords; i++ )
+ pTruth[i] = pTruth0[i] ^ pTruth1[i];
+ else if ( !Aig_ObjFaninC0(pNode) && !Aig_ObjFaninC1(pNode) )
+ for ( i = 0; i < nWords; i++ )
+ pTruth[i] = pTruth0[i] & pTruth1[i];
+ else if ( !Aig_ObjFaninC0(pNode) && Aig_ObjFaninC1(pNode) )
+ for ( i = 0; i < nWords; i++ )
+ pTruth[i] = pTruth0[i] & ~pTruth1[i];
+ else if ( Aig_ObjFaninC0(pNode) && !Aig_ObjFaninC1(pNode) )
+ for ( i = 0; i < nWords; i++ )
+ pTruth[i] = ~pTruth0[i] & pTruth1[i];
+ else // if ( Aig_ObjFaninC0(pNode) && Aig_ObjFaninC1(pNode) )
+ for ( i = 0; i < nWords; i++ )
+ pTruth[i] = ~pTruth0[i] & ~pTruth1[i];
+ return pTruth;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes truth table of the cut.]
+
+ Description [The returned pointer should be used immediately.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+unsigned * Aig_ManCutTruth( Aig_Obj_t * pRoot, Vec_Ptr_t * vLeaves, Vec_Ptr_t * vNodes, Vec_Ptr_t * vTruthElem, Vec_Ptr_t * vTruthStore )
+{
+ Aig_Obj_t * pObj;
+ int i, nWords;
+ assert( Vec_PtrSize(vLeaves) <= Vec_PtrSize(vTruthElem) );
+ assert( Vec_PtrSize(vNodes) <= Vec_PtrSize(vTruthStore) );
+ assert( Vec_PtrSize(vNodes) == 0 || pRoot == Vec_PtrEntryLast(vNodes) );
+ // assign elementary truth tables
+ Vec_PtrForEachEntry( vLeaves, pObj, i )
+ pObj->pData = Vec_PtrEntry( vTruthElem, i );
+ // compute truths for other nodes
+ nWords = Aig_TruthWordNum( Vec_PtrSize(vLeaves) );
+ Vec_PtrForEachEntry( vNodes, pObj, i )
+ pObj->pData = Aig_ManCutTruthOne( pObj, Vec_PtrEntry(vTruthStore, i), nWords );
+ return pRoot->pData;
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/aig/aigTsim.c b/src/aig/aig/aigTsim.c
new file mode 100644
index 00000000..a8a3dda8
--- /dev/null
+++ b/src/aig/aig/aigTsim.c
@@ -0,0 +1,436 @@
+/**CFile****************************************************************
+
+ FileName [aigTsim.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [AIG package.]
+
+ Synopsis [Ternary simulation.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - April 28, 2007.]
+
+ Revision [$Id: aigTsim.c,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "aig.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+#define TSI_MAX_ROUNDS 1000
+
+#define AIG_XVS0 1
+#define AIG_XVS1 2
+#define AIG_XVSX 3
+
+static inline void Aig_ObjSetXsim( Aig_Obj_t * pObj, int Value ) { pObj->nCuts = Value; }
+static inline int Aig_ObjGetXsim( Aig_Obj_t * pObj ) { return pObj->nCuts; }
+static inline int Aig_XsimInv( int Value )
+{
+ if ( Value == AIG_XVS0 )
+ return AIG_XVS1;
+ if ( Value == AIG_XVS1 )
+ return AIG_XVS0;
+ assert( Value == AIG_XVSX );
+ return AIG_XVSX;
+}
+static inline int Aig_XsimAnd( int Value0, int Value1 )
+{
+ if ( Value0 == AIG_XVS0 || Value1 == AIG_XVS0 )
+ return AIG_XVS0;
+ if ( Value0 == AIG_XVSX || Value1 == AIG_XVSX )
+ return AIG_XVSX;
+ assert( Value0 == AIG_XVS1 && Value1 == AIG_XVS1 );
+ return AIG_XVS1;
+}
+static inline int Aig_XsimRand2()
+{
+ return (rand() & 1) ? AIG_XVS1 : AIG_XVS0;
+}
+static inline int Aig_XsimRand3()
+{
+ int RetValue;
+ do {
+ RetValue = rand() & 3;
+ } while ( RetValue == 0 );
+ return RetValue;
+}
+static inline int Aig_ObjGetXsimFanin0( Aig_Obj_t * pObj )
+{
+ int RetValue;
+ RetValue = Aig_ObjGetXsim(Aig_ObjFanin0(pObj));
+ return Aig_ObjFaninC0(pObj)? Aig_XsimInv(RetValue) : RetValue;
+}
+static inline int Aig_ObjGetXsimFanin1( Aig_Obj_t * pObj )
+{
+ int RetValue;
+ RetValue = Aig_ObjGetXsim(Aig_ObjFanin1(pObj));
+ return Aig_ObjFaninC1(pObj)? Aig_XsimInv(RetValue) : RetValue;
+}
+static inline void Aig_XsimPrint( FILE * pFile, int Value )
+{
+ if ( Value == AIG_XVS0 )
+ {
+ fprintf( pFile, "0" );
+ return;
+ }
+ if ( Value == AIG_XVS1 )
+ {
+ fprintf( pFile, "1" );
+ return;
+ }
+ assert( Value == AIG_XVSX );
+ fprintf( pFile, "x" );
+}
+
+// simulation manager
+typedef struct Aig_Tsi_t_ Aig_Tsi_t;
+struct Aig_Tsi_t_
+{
+ Aig_Man_t * pAig; // the original AIG manager
+ // ternary state representation
+ int nWords; // the number of words in the states
+ Vec_Ptr_t * vStates; // the collection of ternary states
+ Aig_MmFixed_t * pMem; // memory for ternary states
+ // hash table for terminary states
+ unsigned ** pBins;
+ int nBins;
+};
+
+static inline unsigned * Aig_TsiNext( unsigned * pState, int nWords ) { return *((unsigned **)(pState + nWords)); }
+static inline void Aig_TsiSetNext( unsigned * pState, int nWords, unsigned * pNext ) { *((unsigned **)(pState + nWords)) = pNext; }
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Allocates simulation manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Tsi_t * Aig_TsiStart( Aig_Man_t * pAig )
+{
+ Aig_Tsi_t * p;
+ p = (Aig_Tsi_t *)malloc( sizeof(Aig_Tsi_t) );
+ memset( p, 0, sizeof(Aig_Tsi_t) );
+ p->pAig = pAig;
+ p->nWords = Aig_BitWordNum( 2*Aig_ManRegNum(pAig) );
+ p->vStates = Vec_PtrAlloc( 1000 );
+ p->pMem = Aig_MmFixedStart( sizeof(unsigned) * p->nWords + sizeof(unsigned *), 10000 );
+ p->nBins = Aig_PrimeCudd(TSI_MAX_ROUNDS/2);
+ p->pBins = ALLOC( unsigned *, p->nBins );
+ memset( p->pBins, 0, sizeof(unsigned *) * p->nBins );
+ return p;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Deallocates simulation manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_TsiStop( Aig_Tsi_t * p )
+{
+ Aig_MmFixedStop( p->pMem, 0 );
+ Vec_PtrFree( p->vStates );
+ free( p->pBins );
+ free( p );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes hash value of the node using its simulation info.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Aig_TsiStateHash( unsigned * pState, int nWords, int nTableSize )
+{
+ static int s_FPrimes[128] = {
+ 1009, 1049, 1093, 1151, 1201, 1249, 1297, 1361, 1427, 1459,
+ 1499, 1559, 1607, 1657, 1709, 1759, 1823, 1877, 1933, 1997,
+ 2039, 2089, 2141, 2213, 2269, 2311, 2371, 2411, 2467, 2543,
+ 2609, 2663, 2699, 2741, 2797, 2851, 2909, 2969, 3037, 3089,
+ 3169, 3221, 3299, 3331, 3389, 3461, 3517, 3557, 3613, 3671,
+ 3719, 3779, 3847, 3907, 3943, 4013, 4073, 4129, 4201, 4243,
+ 4289, 4363, 4441, 4493, 4549, 4621, 4663, 4729, 4793, 4871,
+ 4933, 4973, 5021, 5087, 5153, 5227, 5281, 5351, 5417, 5471,
+ 5519, 5573, 5651, 5693, 5749, 5821, 5861, 5923, 6011, 6073,
+ 6131, 6199, 6257, 6301, 6353, 6397, 6481, 6563, 6619, 6689,
+ 6737, 6803, 6863, 6917, 6977, 7027, 7109, 7187, 7237, 7309,
+ 7393, 7477, 7523, 7561, 7607, 7681, 7727, 7817, 7877, 7933,
+ 8011, 8039, 8059, 8081, 8093, 8111, 8123, 8147
+ };
+ unsigned uHash;
+ int i;
+ uHash = 0;
+ for ( i = 0; i < nWords; i++ )
+ uHash ^= pState[i] * s_FPrimes[i & 0x7F];
+ return uHash % nTableSize;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Inserts value into the table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Aig_TsiStateLookup( Aig_Tsi_t * p, unsigned * pState, int nWords )
+{
+ unsigned * pEntry;
+ int Hash;
+ Hash = Aig_TsiStateHash( pState, nWords, p->nBins );
+ for ( pEntry = p->pBins[Hash]; pEntry; pEntry = Aig_TsiNext(pEntry, nWords) )
+ if ( !memcmp( pEntry, pState, sizeof(unsigned) * nWords ) )
+ return 1;
+ return 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Inserts value into the table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_TsiStateInsert( Aig_Tsi_t * p, unsigned * pState, int nWords )
+{
+ int Hash = Aig_TsiStateHash( pState, nWords, p->nBins );
+ assert( !Aig_TsiStateLookup( p, pState, nWords ) );
+ Aig_TsiSetNext( pState, nWords, p->pBins[Hash] );
+ p->pBins[Hash] = pState;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Inserts value into the table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+unsigned * Aig_TsiStateNew( Aig_Tsi_t * p )
+{
+ unsigned * pState;
+ pState = (unsigned *)Aig_MmFixedEntryFetch( p->pMem );
+ memset( pState, 0, sizeof(unsigned) * p->nWords );
+ Vec_PtrPush( p->vStates, pState );
+ return pState;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Inserts value into the table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_TsiStatePrint( Aig_Tsi_t * p, unsigned * pState )
+{
+ int i, Value, nZeros = 0, nOnes = 0, nDcs = 0;
+ for ( i = 0; i < Aig_ManRegNum(p->pAig); i++ )
+ {
+ Value = (Aig_InfoHasBit( pState, 2 * i + 1 ) << 1) | Aig_InfoHasBit( pState, 2 * i );
+ if ( Value == 1 )
+ printf( "0" ), nZeros++;
+ else if ( Value == 2 )
+ printf( "1" ), nOnes++;
+ else if ( Value == 3 )
+ printf( "x" ), nDcs++;
+ else
+ assert( 0 );
+ }
+ printf( " (0=%5d, 1=%5d, x=%5d)\n", nZeros, nOnes, nDcs );
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Cycles the circuit to create a new initial state.]
+
+ Description [Simulates the circuit with random input for the given
+ number of timeframes to get a better initial state.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Vec_Ptr_t * Aig_ManTernarySimulate( Aig_Man_t * p, int fVerbose )
+{
+ Aig_Tsi_t * pTsi;
+ Vec_Ptr_t * vMap;
+ Aig_Obj_t * pObj, * pObjLi, * pObjLo;
+ unsigned * pState, * pPrev;
+ int i, k, f, fConstants, Value, nCounter;
+ // allocate the simulation manager
+ pTsi = Aig_TsiStart( p );
+ // initialize the values
+ Aig_ObjSetXsim( Aig_ManConst1(p), AIG_XVS1 );
+ Aig_ManForEachPiSeq( p, pObj, i )
+ Aig_ObjSetXsim( pObj, AIG_XVSX );
+ Aig_ManForEachLoSeq( p, pObj, i )
+ Aig_ObjSetXsim( pObj, AIG_XVS0 );
+ // simulate for the given number of timeframes
+ for ( f = 0; f < TSI_MAX_ROUNDS; f++ )
+ {
+ // collect this state
+ pState = Aig_TsiStateNew( pTsi );
+ Aig_ManForEachLiLoSeq( p, pObjLi, pObjLo, i )
+ {
+ Value = Aig_ObjGetXsim(pObjLo);
+ if ( Value & 1 )
+ Aig_InfoSetBit( pState, 2 * i );
+ if ( Value & 2 )
+ Aig_InfoSetBit( pState, 2 * i + 1 );
+ }
+// Aig_TsiStatePrint( pTsi, pState );
+ // check if this state exists
+ if ( Aig_TsiStateLookup( pTsi, pState, pTsi->nWords ) )
+ break;
+ // insert this state
+ Aig_TsiStateInsert( pTsi, pState, pTsi->nWords );
+ // simulate internal nodes
+ Aig_ManForEachNode( p, pObj, i )
+ Aig_ObjSetXsim( pObj, Aig_XsimAnd(Aig_ObjGetXsimFanin0(pObj), Aig_ObjGetXsimFanin1(pObj)) );
+ // transfer the latch values
+ Aig_ManForEachLiSeq( p, pObj, i )
+ Aig_ObjSetXsim( pObj, Aig_ObjGetXsimFanin0(pObj) );
+ Aig_ManForEachLiLoSeq( p, pObjLi, pObjLo, i )
+ Aig_ObjSetXsim( pObjLo, Aig_ObjGetXsim(pObjLi) );
+ }
+ if ( f == TSI_MAX_ROUNDS )
+ {
+ printf( "Aig_ManTernarySimulate(): Did not reach a fixed point after %d iterations (not a bug).\n", TSI_MAX_ROUNDS );
+ Aig_TsiStop( pTsi );
+ return NULL;
+ }
+ // OR all the states
+ pState = Vec_PtrEntry( pTsi->vStates, 0 );
+ Vec_PtrForEachEntry( pTsi->vStates, pPrev, i )
+ {
+ for ( k = 0; k < pTsi->nWords; k++ )
+ pState[k] |= pPrev[k];
+ }
+ // check if there are constants
+ fConstants = 0;
+ if ( 2*Aig_ManRegNum(p) == 32*pTsi->nWords )
+ {
+ for ( i = 0; i < pTsi->nWords; i++ )
+ if ( pState[i] != ~0 )
+ fConstants = 1;
+ }
+ else
+ {
+ for ( i = 0; i < pTsi->nWords - 1; i++ )
+ if ( pState[i] != ~0 )
+ fConstants = 1;
+ if ( pState[i] != Aig_InfoMask( 2*Aig_ManRegNum(p) - 32*(pTsi->nWords-1) ) )
+ fConstants = 1;
+ }
+ if ( fConstants == 0 )
+ {
+ Aig_TsiStop( pTsi );
+ return NULL;
+ }
+
+ // start mapping by adding the true PIs
+ vMap = Vec_PtrAlloc( Aig_ManPiNum(p) );
+ Aig_ManForEachPiSeq( p, pObj, i )
+ Vec_PtrPush( vMap, pObj );
+ // find constant registers
+ nCounter = 0;
+ Aig_ManForEachLiLoSeq( p, pObjLi, pObjLo, i )
+ {
+ Value = (Aig_InfoHasBit( pState, 2 * i + 1 ) << 1) | Aig_InfoHasBit( pState, 2 * i );
+ nCounter += (Value == 1 || Value == 2);
+ if ( Value == 1 )
+ Vec_PtrPush( vMap, Aig_ManConst0(p) );
+ else if ( Value == 2 )
+ Vec_PtrPush( vMap, Aig_ManConst1(p) );
+ else if ( Value == 3 )
+ Vec_PtrPush( vMap, pObjLo );
+ else
+ assert( 0 );
+// Aig_XsimPrint( stdout, Value );
+ }
+// printf( "\n" );
+ Aig_TsiStop( pTsi );
+ if ( fVerbose )
+ printf( "Detected %d constants after %d iterations of ternary simulation.\n", nCounter, f );
+ return vMap;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Reduces the circuit using ternary simulation.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Man_t * Aig_ManConstReduce( Aig_Man_t * p, int fVerbose )
+{
+ Aig_Man_t * pTemp;
+ Vec_Ptr_t * vMap;
+ while ( (vMap = Aig_ManTernarySimulate( p, fVerbose )) )
+ {
+ if ( fVerbose )
+ printf( "RBeg = %5d. NBeg = %6d. ", Aig_ManRegNum(p), Aig_ManNodeNum(p) );
+ p = Aig_ManRemap( pTemp = p, vMap );
+ Aig_ManStop( pTemp );
+ Vec_PtrFree( vMap );
+ Aig_ManSeqCleanup( p );
+ if ( fVerbose )
+ printf( "REnd = %5d. NEnd = %6d. \n", Aig_ManRegNum(p), Aig_ManNodeNum(p) );
+ }
+ return p;
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/aig/aigUtil.c b/src/aig/aig/aigUtil.c
new file mode 100644
index 00000000..b70d11c7
--- /dev/null
+++ b/src/aig/aig/aigUtil.c
@@ -0,0 +1,851 @@
+/**CFile****************************************************************
+
+ FileName [aigUtil.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [AIG package.]
+
+ Synopsis [Various procedures.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - April 28, 2007.]
+
+ Revision [$Id: aigUtil.c,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "aig.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function********************************************************************
+
+ Synopsis [Returns the next prime >= p.]
+
+ Description [Copied from CUDD, for stand-aloneness.]
+
+ SideEffects [None]
+
+ SeeAlso []
+
+******************************************************************************/
+unsigned int Aig_PrimeCudd( unsigned int p )
+{
+ int i,pn;
+
+ p--;
+ do {
+ p++;
+ if (p&1) {
+ pn = 1;
+ i = 3;
+ while ((unsigned) (i * i) <= p) {
+ if (p % i == 0) {
+ pn = 0;
+ break;
+ }
+ i += 2;
+ }
+ } else {
+ pn = 0;
+ }
+ } while (!pn);
+ return(p);
+
+} /* end of Cudd_Prime */
+
+/**Function*************************************************************
+
+ Synopsis [Increments the current traversal ID of the network.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ManIncrementTravId( Aig_Man_t * p )
+{
+ if ( p->nTravIds >= (1<<30)-1 )
+ Aig_ManCleanData( p );
+ p->nTravIds++;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Collect the latches.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Aig_ManLevels( Aig_Man_t * p )
+{
+ Aig_Obj_t * pObj;
+ int i, LevelMax = 0;
+ Aig_ManForEachPo( p, pObj, i )
+ LevelMax = AIG_MAX( LevelMax, (int)Aig_ObjFanin0(pObj)->Level );
+ return LevelMax;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Reset reference counters.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ManResetRefs( Aig_Man_t * p )
+{
+ Aig_Obj_t * pObj;
+ int i;
+ Aig_ManForEachObj( p, pObj, i )
+ pObj->nRefs = 0;
+ Aig_ManForEachObj( p, pObj, i )
+ {
+ if ( Aig_ObjFanin0(pObj) )
+ Aig_ObjFanin0(pObj)->nRefs++;
+ if ( Aig_ObjFanin1(pObj) )
+ Aig_ObjFanin1(pObj)->nRefs++;
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Cleans MarkB.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ManCleanMarkA( Aig_Man_t * p )
+{
+ Aig_Obj_t * pObj;
+ int i;
+ Aig_ManForEachObj( p, pObj, i )
+ pObj->fMarkA = 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Cleans MarkB.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ManCleanMarkB( Aig_Man_t * p )
+{
+ Aig_Obj_t * pObj;
+ int i;
+ Aig_ManForEachObj( p, pObj, i )
+ pObj->fMarkB = 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Cleans the data pointers for the nodes.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ManCleanData( Aig_Man_t * p )
+{
+ Aig_Obj_t * pObj;
+ int i;
+ Aig_ManForEachObj( p, pObj, i )
+ pObj->pData = NULL;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Recursively cleans the data pointers in the cone of the node.]
+
+ Description [Applicable to small AIGs only because no caching is performed.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ObjCleanData_rec( Aig_Obj_t * pObj )
+{
+ assert( !Aig_IsComplement(pObj) );
+ assert( !Aig_ObjIsPo(pObj) );
+ if ( Aig_ObjIsAnd(pObj) )
+ {
+ Aig_ObjCleanData_rec( Aig_ObjFanin0(pObj) );
+ Aig_ObjCleanData_rec( Aig_ObjFanin1(pObj) );
+ }
+ pObj->pData = NULL;
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Detects multi-input gate rooted at this node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ObjCollectMulti_rec( Aig_Obj_t * pRoot, Aig_Obj_t * pObj, Vec_Ptr_t * vSuper )
+{
+ if ( pRoot != pObj && (Aig_IsComplement(pObj) || Aig_ObjIsPi(pObj) || Aig_ObjType(pRoot) != Aig_ObjType(pObj)) )
+ {
+ Vec_PtrPushUnique(vSuper, pObj);
+ return;
+ }
+ Aig_ObjCollectMulti_rec( pRoot, Aig_ObjChild0(pObj), vSuper );
+ Aig_ObjCollectMulti_rec( pRoot, Aig_ObjChild1(pObj), vSuper );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Detects multi-input gate rooted at this node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ObjCollectMulti( Aig_Obj_t * pRoot, Vec_Ptr_t * vSuper )
+{
+ assert( !Aig_IsComplement(pRoot) );
+ Vec_PtrClear( vSuper );
+ Aig_ObjCollectMulti_rec( pRoot, pRoot, vSuper );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns 1 if the node is the root of MUX or EXOR/NEXOR.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Aig_ObjIsMuxType( Aig_Obj_t * pNode )
+{
+ Aig_Obj_t * pNode0, * pNode1;
+ // check that the node is regular
+ assert( !Aig_IsComplement(pNode) );
+ // if the node is not AND, this is not MUX
+ if ( !Aig_ObjIsAnd(pNode) )
+ return 0;
+ // if the children are not complemented, this is not MUX
+ if ( !Aig_ObjFaninC0(pNode) || !Aig_ObjFaninC1(pNode) )
+ return 0;
+ // get children
+ pNode0 = Aig_ObjFanin0(pNode);
+ pNode1 = Aig_ObjFanin1(pNode);
+ // if the children are not ANDs, this is not MUX
+ if ( !Aig_ObjIsAnd(pNode0) || !Aig_ObjIsAnd(pNode1) )
+ return 0;
+ // otherwise the node is MUX iff it has a pair of equal grandchildren
+ return (Aig_ObjFanin0(pNode0) == Aig_ObjFanin0(pNode1) && (Aig_ObjFaninC0(pNode0) ^ Aig_ObjFaninC0(pNode1))) ||
+ (Aig_ObjFanin0(pNode0) == Aig_ObjFanin1(pNode1) && (Aig_ObjFaninC0(pNode0) ^ Aig_ObjFaninC1(pNode1))) ||
+ (Aig_ObjFanin1(pNode0) == Aig_ObjFanin0(pNode1) && (Aig_ObjFaninC1(pNode0) ^ Aig_ObjFaninC0(pNode1))) ||
+ (Aig_ObjFanin1(pNode0) == Aig_ObjFanin1(pNode1) && (Aig_ObjFaninC1(pNode0) ^ Aig_ObjFaninC1(pNode1)));
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Recognizes what nodes are inputs of the EXOR.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Aig_ObjRecognizeExor( Aig_Obj_t * pObj, Aig_Obj_t ** ppFan0, Aig_Obj_t ** ppFan1 )
+{
+ Aig_Obj_t * p0, * p1;
+ assert( !Aig_IsComplement(pObj) );
+ if ( !Aig_ObjIsNode(pObj) )
+ return 0;
+ if ( Aig_ObjIsExor(pObj) )
+ {
+ *ppFan0 = Aig_ObjChild0(pObj);
+ *ppFan1 = Aig_ObjChild1(pObj);
+ return 1;
+ }
+ assert( Aig_ObjIsAnd(pObj) );
+ p0 = Aig_ObjChild0(pObj);
+ p1 = Aig_ObjChild1(pObj);
+ if ( !Aig_IsComplement(p0) || !Aig_IsComplement(p1) )
+ return 0;
+ p0 = Aig_Regular(p0);
+ p1 = Aig_Regular(p1);
+ if ( !Aig_ObjIsAnd(p0) || !Aig_ObjIsAnd(p1) )
+ return 0;
+ if ( Aig_ObjFanin0(p0) != Aig_ObjFanin0(p1) || Aig_ObjFanin1(p0) != Aig_ObjFanin1(p1) )
+ return 0;
+ if ( Aig_ObjFaninC0(p0) == Aig_ObjFaninC0(p1) || Aig_ObjFaninC1(p0) == Aig_ObjFaninC1(p1) )
+ return 0;
+ *ppFan0 = Aig_ObjChild0(p0);
+ *ppFan1 = Aig_ObjChild1(p0);
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Recognizes what nodes are control and data inputs of a MUX.]
+
+ Description [If the node is a MUX, returns the control variable C.
+ Assigns nodes T and E to be the then and else variables of the MUX.
+ Node C is never complemented. Nodes T and E can be complemented.
+ This function also recognizes EXOR/NEXOR gates as MUXes.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Obj_t * Aig_ObjRecognizeMux( Aig_Obj_t * pNode, Aig_Obj_t ** ppNodeT, Aig_Obj_t ** ppNodeE )
+{
+ Aig_Obj_t * pNode0, * pNode1;
+ assert( !Aig_IsComplement(pNode) );
+ assert( Aig_ObjIsMuxType(pNode) );
+ // get children
+ pNode0 = Aig_ObjFanin0(pNode);
+ pNode1 = Aig_ObjFanin1(pNode);
+
+ // find the control variable
+ if ( Aig_ObjFanin1(pNode0) == Aig_ObjFanin1(pNode1) && (Aig_ObjFaninC1(pNode0) ^ Aig_ObjFaninC1(pNode1)) )
+ {
+// if ( Fraig_IsComplement(pNode1->p2) )
+ if ( Aig_ObjFaninC1(pNode0) )
+ { // pNode2->p2 is positive phase of C
+ *ppNodeT = Aig_Not(Aig_ObjChild0(pNode1));//pNode2->p1);
+ *ppNodeE = Aig_Not(Aig_ObjChild0(pNode0));//pNode1->p1);
+ return Aig_ObjChild1(pNode1);//pNode2->p2;
+ }
+ else
+ { // pNode1->p2 is positive phase of C
+ *ppNodeT = Aig_Not(Aig_ObjChild0(pNode0));//pNode1->p1);
+ *ppNodeE = Aig_Not(Aig_ObjChild0(pNode1));//pNode2->p1);
+ return Aig_ObjChild1(pNode0);//pNode1->p2;
+ }
+ }
+ else if ( Aig_ObjFanin0(pNode0) == Aig_ObjFanin0(pNode1) && (Aig_ObjFaninC0(pNode0) ^ Aig_ObjFaninC0(pNode1)) )
+ {
+// if ( Fraig_IsComplement(pNode1->p1) )
+ if ( Aig_ObjFaninC0(pNode0) )
+ { // pNode2->p1 is positive phase of C
+ *ppNodeT = Aig_Not(Aig_ObjChild1(pNode1));//pNode2->p2);
+ *ppNodeE = Aig_Not(Aig_ObjChild1(pNode0));//pNode1->p2);
+ return Aig_ObjChild0(pNode1);//pNode2->p1;
+ }
+ else
+ { // pNode1->p1 is positive phase of C
+ *ppNodeT = Aig_Not(Aig_ObjChild1(pNode0));//pNode1->p2);
+ *ppNodeE = Aig_Not(Aig_ObjChild1(pNode1));//pNode2->p2);
+ return Aig_ObjChild0(pNode0);//pNode1->p1;
+ }
+ }
+ else if ( Aig_ObjFanin0(pNode0) == Aig_ObjFanin1(pNode1) && (Aig_ObjFaninC0(pNode0) ^ Aig_ObjFaninC1(pNode1)) )
+ {
+// if ( Fraig_IsComplement(pNode1->p1) )
+ if ( Aig_ObjFaninC0(pNode0) )
+ { // pNode2->p2 is positive phase of C
+ *ppNodeT = Aig_Not(Aig_ObjChild0(pNode1));//pNode2->p1);
+ *ppNodeE = Aig_Not(Aig_ObjChild1(pNode0));//pNode1->p2);
+ return Aig_ObjChild1(pNode1);//pNode2->p2;
+ }
+ else
+ { // pNode1->p1 is positive phase of C
+ *ppNodeT = Aig_Not(Aig_ObjChild1(pNode0));//pNode1->p2);
+ *ppNodeE = Aig_Not(Aig_ObjChild0(pNode1));//pNode2->p1);
+ return Aig_ObjChild0(pNode0);//pNode1->p1;
+ }
+ }
+ else if ( Aig_ObjFanin1(pNode0) == Aig_ObjFanin0(pNode1) && (Aig_ObjFaninC1(pNode0) ^ Aig_ObjFaninC0(pNode1)) )
+ {
+// if ( Fraig_IsComplement(pNode1->p2) )
+ if ( Aig_ObjFaninC1(pNode0) )
+ { // pNode2->p1 is positive phase of C
+ *ppNodeT = Aig_Not(Aig_ObjChild1(pNode1));//pNode2->p2);
+ *ppNodeE = Aig_Not(Aig_ObjChild0(pNode0));//pNode1->p1);
+ return Aig_ObjChild0(pNode1);//pNode2->p1;
+ }
+ else
+ { // pNode1->p2 is positive phase of C
+ *ppNodeT = Aig_Not(Aig_ObjChild0(pNode0));//pNode1->p1);
+ *ppNodeE = Aig_Not(Aig_ObjChild1(pNode1));//pNode2->p2);
+ return Aig_ObjChild1(pNode0);//pNode1->p2;
+ }
+ }
+ assert( 0 ); // this is not MUX
+ return NULL;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Obj_t * Aig_ObjReal_rec( Aig_Obj_t * pObj )
+{
+ Aig_Obj_t * pObjNew, * pObjR = Aig_Regular(pObj);
+ if ( !Aig_ObjIsBuf(pObjR) )
+ return pObj;
+ pObjNew = Aig_ObjReal_rec( Aig_ObjChild0(pObjR) );
+ return Aig_NotCond( pObjNew, Aig_IsComplement(pObj) );
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Prints Eqn formula for the AIG rooted at this node.]
+
+ Description [The formula is in terms of PIs, which should have
+ their names assigned in pObj->pData fields.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ObjPrintEqn( FILE * pFile, Aig_Obj_t * pObj, Vec_Vec_t * vLevels, int Level )
+{
+ Vec_Ptr_t * vSuper;
+ Aig_Obj_t * pFanin;
+ int fCompl, i;
+ // store the complemented attribute
+ fCompl = Aig_IsComplement(pObj);
+ pObj = Aig_Regular(pObj);
+ // constant case
+ if ( Aig_ObjIsConst1(pObj) )
+ {
+ fprintf( pFile, "%d", !fCompl );
+ return;
+ }
+ // PI case
+ if ( Aig_ObjIsPi(pObj) )
+ {
+ fprintf( pFile, "%s%s", fCompl? "!" : "", (char*)pObj->pData );
+ return;
+ }
+ // AND case
+ Vec_VecExpand( vLevels, Level );
+ vSuper = Vec_VecEntry(vLevels, Level);
+ Aig_ObjCollectMulti( pObj, vSuper );
+ fprintf( pFile, "%s", (Level==0? "" : "(") );
+ Vec_PtrForEachEntry( vSuper, pFanin, i )
+ {
+ Aig_ObjPrintEqn( pFile, Aig_NotCond(pFanin, fCompl), vLevels, Level+1 );
+ if ( i < Vec_PtrSize(vSuper) - 1 )
+ fprintf( pFile, " %s ", fCompl? "+" : "*" );
+ }
+ fprintf( pFile, "%s", (Level==0? "" : ")") );
+ return;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Prints Verilog formula for the AIG rooted at this node.]
+
+ Description [The formula is in terms of PIs, which should have
+ their names assigned in pObj->pData fields.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ObjPrintVerilog( FILE * pFile, Aig_Obj_t * pObj, Vec_Vec_t * vLevels, int Level )
+{
+ Vec_Ptr_t * vSuper;
+ Aig_Obj_t * pFanin, * pFanin0, * pFanin1, * pFaninC;
+ int fCompl, i;
+ // store the complemented attribute
+ fCompl = Aig_IsComplement(pObj);
+ pObj = Aig_Regular(pObj);
+ // constant case
+ if ( Aig_ObjIsConst1(pObj) )
+ {
+ fprintf( pFile, "1\'b%d", !fCompl );
+ return;
+ }
+ // PI case
+ if ( Aig_ObjIsPi(pObj) )
+ {
+ fprintf( pFile, "%s%s", fCompl? "~" : "", (char*)pObj->pData );
+ return;
+ }
+ // EXOR case
+ if ( Aig_ObjIsExor(pObj) )
+ {
+ Vec_VecExpand( vLevels, Level );
+ vSuper = Vec_VecEntry( vLevels, Level );
+ Aig_ObjCollectMulti( pObj, vSuper );
+ fprintf( pFile, "%s", (Level==0? "" : "(") );
+ Vec_PtrForEachEntry( vSuper, pFanin, i )
+ {
+ Aig_ObjPrintVerilog( pFile, Aig_NotCond(pFanin, (fCompl && i==0)), vLevels, Level+1 );
+ if ( i < Vec_PtrSize(vSuper) - 1 )
+ fprintf( pFile, " ^ " );
+ }
+ fprintf( pFile, "%s", (Level==0? "" : ")") );
+ return;
+ }
+ // MUX case
+ if ( Aig_ObjIsMuxType(pObj) )
+ {
+ if ( Aig_ObjRecognizeExor( pObj, &pFanin0, &pFanin1 ) )
+ {
+ fprintf( pFile, "%s", (Level==0? "" : "(") );
+ Aig_ObjPrintVerilog( pFile, Aig_NotCond(pFanin0, fCompl), vLevels, Level+1 );
+ fprintf( pFile, " ^ " );
+ Aig_ObjPrintVerilog( pFile, pFanin1, vLevels, Level+1 );
+ fprintf( pFile, "%s", (Level==0? "" : ")") );
+ }
+ else
+ {
+ pFaninC = Aig_ObjRecognizeMux( pObj, &pFanin1, &pFanin0 );
+ fprintf( pFile, "%s", (Level==0? "" : "(") );
+ Aig_ObjPrintVerilog( pFile, pFaninC, vLevels, Level+1 );
+ fprintf( pFile, " ? " );
+ Aig_ObjPrintVerilog( pFile, Aig_NotCond(pFanin1, fCompl), vLevels, Level+1 );
+ fprintf( pFile, " : " );
+ Aig_ObjPrintVerilog( pFile, Aig_NotCond(pFanin0, fCompl), vLevels, Level+1 );
+ fprintf( pFile, "%s", (Level==0? "" : ")") );
+ }
+ return;
+ }
+ // AND case
+ Vec_VecExpand( vLevels, Level );
+ vSuper = Vec_VecEntry(vLevels, Level);
+ Aig_ObjCollectMulti( pObj, vSuper );
+ fprintf( pFile, "%s", (Level==0? "" : "(") );
+ Vec_PtrForEachEntry( vSuper, pFanin, i )
+ {
+ Aig_ObjPrintVerilog( pFile, Aig_NotCond(pFanin, fCompl), vLevels, Level+1 );
+ if ( i < Vec_PtrSize(vSuper) - 1 )
+ fprintf( pFile, " %s ", fCompl? "|" : "&" );
+ }
+ fprintf( pFile, "%s", (Level==0? "" : ")") );
+ return;
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Prints node in HAIG.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ObjPrintVerbose( Aig_Obj_t * pObj, int fHaig )
+{
+ assert( !Aig_IsComplement(pObj) );
+ printf( "Node %p : ", pObj );
+ if ( Aig_ObjIsConst1(pObj) )
+ printf( "constant 1" );
+ else if ( Aig_ObjIsPi(pObj) )
+ printf( "PI" );
+ else
+ printf( "AND( %p%s, %p%s )",
+ Aig_ObjFanin0(pObj), (Aig_ObjFaninC0(pObj)? "\'" : " "),
+ Aig_ObjFanin1(pObj), (Aig_ObjFaninC1(pObj)? "\'" : " ") );
+ printf( " (refs = %3d)", Aig_ObjRefs(pObj) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Prints node in HAIG.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ManPrintVerbose( Aig_Man_t * p, int fHaig )
+{
+ Vec_Ptr_t * vNodes;
+ Aig_Obj_t * pObj;
+ int i;
+ printf( "PIs: " );
+ Aig_ManForEachPi( p, pObj, i )
+ printf( " %p", pObj );
+ printf( "\n" );
+ vNodes = Aig_ManDfs( p );
+ Vec_PtrForEachEntry( vNodes, pObj, i )
+ Aig_ObjPrintVerbose( pObj, fHaig ), printf( "\n" );
+ printf( "\n" );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Write speculative miter for one node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ManDump( Aig_Man_t * p )
+{
+ static int Counter = 0;
+ char FileName[20];
+ // dump the logic into a file
+ sprintf( FileName, "aigbug\\%03d.blif", ++Counter );
+ Aig_ManDumpBlif( p, FileName );
+ printf( "Intermediate AIG with %d nodes was written into file \"%s\".\n", Aig_ManNodeNum(p), FileName );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Writes the AIG into the BLIF file.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ManDumpBlif( Aig_Man_t * p, char * pFileName )
+{
+ FILE * pFile;
+ Vec_Ptr_t * vNodes;
+ Aig_Obj_t * pObj, * pObjLi, * pObjLo, * pConst1 = NULL;
+ int i, nDigits, Counter = 0;
+ if ( Aig_ManPoNum(p) == 0 )
+ {
+ printf( "Aig_ManDumpBlif(): AIG manager does not have POs.\n" );
+ return;
+ }
+ // collect nodes in the DFS order
+ vNodes = Aig_ManDfs( p );
+ // assign IDs to objects
+ Aig_ManConst1(p)->iData = Counter++;
+ Aig_ManForEachPi( p, pObj, i )
+ pObj->iData = Counter++;
+ Aig_ManForEachPo( p, pObj, i )
+ pObj->iData = Counter++;
+ Vec_PtrForEachEntry( vNodes, pObj, i )
+ pObj->iData = Counter++;
+ nDigits = Aig_Base10Log( Counter );
+ // write the file
+ pFile = fopen( pFileName, "w" );
+ fprintf( pFile, "# BLIF file written by procedure Aig_ManDumpBlif()\n" );
+// fprintf( pFile, "# http://www.eecs.berkeley.edu/~alanmi/abc/\n" );
+ fprintf( pFile, ".model test\n" );
+ // write PIs
+ fprintf( pFile, ".inputs" );
+ Aig_ManForEachPiSeq( p, pObj, i )
+ fprintf( pFile, " n%0*d", nDigits, pObj->iData );
+ fprintf( pFile, "\n" );
+ // write POs
+ fprintf( pFile, ".outputs" );
+ Aig_ManForEachPoSeq( p, pObj, i )
+ fprintf( pFile, " n%0*d", nDigits, pObj->iData );
+ fprintf( pFile, "\n" );
+ // write latches
+ if ( Aig_ManRegNum(p) )
+ {
+ fprintf( pFile, "\n" );
+ Aig_ManForEachLiLoSeq( p, pObjLi, pObjLo, i )
+ fprintf( pFile, ".latch n%0*d n%0*d 0\n", nDigits, pObjLi->iData, nDigits, pObjLo->iData );
+ fprintf( pFile, "\n" );
+ }
+ // write nodes
+ Vec_PtrForEachEntry( vNodes, pObj, i )
+ {
+ fprintf( pFile, ".names n%0*d n%0*d n%0*d\n",
+ nDigits, Aig_ObjFanin0(pObj)->iData,
+ nDigits, Aig_ObjFanin1(pObj)->iData,
+ nDigits, pObj->iData );
+ fprintf( pFile, "%d%d 1\n", !Aig_ObjFaninC0(pObj), !Aig_ObjFaninC1(pObj) );
+ }
+ // write POs
+ Aig_ManForEachPo( p, pObj, i )
+ {
+ fprintf( pFile, ".names n%0*d n%0*d\n",
+ nDigits, Aig_ObjFanin0(pObj)->iData,
+ nDigits, pObj->iData );
+ fprintf( pFile, "%d 1\n", !Aig_ObjFaninC0(pObj) );
+ if ( Aig_ObjIsConst1(Aig_ObjFanin0(pObj)) )
+ pConst1 = Aig_ManConst1(p);
+ }
+ if ( pConst1 )
+ fprintf( pFile, ".names n%0*d\n 1\n", nDigits, pConst1->iData );
+ fprintf( pFile, ".end\n\n" );
+ fclose( pFile );
+ Vec_PtrFree( vNodes );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Writes the AIG into the BLIF file.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ManDumpVerilog( Aig_Man_t * p, char * pFileName )
+{
+ FILE * pFile;
+ Vec_Ptr_t * vNodes;
+ Aig_Obj_t * pObj, * pObjLi, * pObjLo, * pConst1 = NULL;
+ int i, nDigits, Counter = 0;
+ if ( Aig_ManPoNum(p) == 0 )
+ {
+ printf( "Aig_ManDumpBlif(): AIG manager does not have POs.\n" );
+ return;
+ }
+ // collect nodes in the DFS order
+ vNodes = Aig_ManDfs( p );
+ // assign IDs to objects
+ Aig_ManConst1(p)->iData = Counter++;
+ Aig_ManForEachPi( p, pObj, i )
+ pObj->iData = Counter++;
+ Aig_ManForEachPo( p, pObj, i )
+ pObj->iData = Counter++;
+ Vec_PtrForEachEntry( vNodes, pObj, i )
+ pObj->iData = Counter++;
+ nDigits = Aig_Base10Log( Counter );
+ // write the file
+ pFile = fopen( pFileName, "w" );
+ fprintf( pFile, "// Verilog file written by procedure Aig_ManDumpVerilog()\n" );
+// fprintf( pFile, "// http://www.eecs.berkeley.edu/~alanmi/abc/\n" );
+ if ( Aig_ManRegNum(p) )
+ fprintf( pFile, "module %s ( clock", p->pName? p->pName: "test" );
+ else
+ fprintf( pFile, "module %s (", p->pName? p->pName: "test" );
+ Aig_ManForEachPiSeq( p, pObj, i )
+ fprintf( pFile, "%s n%0*d", ((Aig_ManRegNum(p) || i)? ",":""), nDigits, pObj->iData );
+ Aig_ManForEachPoSeq( p, pObj, i )
+ fprintf( pFile, ", n%0*d", nDigits, pObj->iData );
+ fprintf( pFile, " );\n" );
+
+ // write PIs
+ if ( Aig_ManRegNum(p) )
+ fprintf( pFile, "input clock;\n" );
+ Aig_ManForEachPiSeq( p, pObj, i )
+ fprintf( pFile, "input n%0*d;\n", nDigits, pObj->iData );
+ // write POs
+ Aig_ManForEachPoSeq( p, pObj, i )
+ fprintf( pFile, "output n%0*d;\n", nDigits, pObj->iData );
+ // write latches
+ if ( Aig_ManRegNum(p) )
+ {
+ Aig_ManForEachLiLoSeq( p, pObjLi, pObjLo, i )
+ fprintf( pFile, "reg n%0*d;\n", nDigits, pObjLo->iData );
+ Aig_ManForEachLiLoSeq( p, pObjLi, pObjLo, i )
+ fprintf( pFile, "wire n%0*d;\n", nDigits, pObjLi->iData );
+ }
+ // write nodes
+ Vec_PtrForEachEntry( vNodes, pObj, i )
+ fprintf( pFile, "wire n%0*d;\n", nDigits, pObj->iData );
+ // write nodes
+ Vec_PtrForEachEntry( vNodes, pObj, i )
+ {
+ fprintf( pFile, "assign n%0*d = %sn%0*d & %sn%0*d;\n",
+ nDigits, pObj->iData,
+ !Aig_ObjFaninC0(pObj) ? " " : "~", nDigits, Aig_ObjFanin0(pObj)->iData,
+ !Aig_ObjFaninC1(pObj) ? " " : "~", nDigits, Aig_ObjFanin1(pObj)->iData
+ );
+ }
+ // write POs
+ Aig_ManForEachPoSeq( p, pObj, i )
+ {
+ fprintf( pFile, "assign n%0*d = %sn%0*d;\n",
+ nDigits, pObj->iData,
+ !Aig_ObjFaninC0(pObj) ? " " : "~", nDigits, Aig_ObjFanin0(pObj)->iData );
+ if ( Aig_ObjIsConst1(Aig_ObjFanin0(pObj)) )
+ pConst1 = Aig_ManConst1(p);
+ }
+ if ( Aig_ManRegNum(p) )
+ {
+ Aig_ManForEachLiLoSeq( p, pObjLi, pObjLo, i )
+ {
+ fprintf( pFile, "assign n%0*d = %sn%0*d;\n",
+ nDigits, pObjLi->iData,
+ !Aig_ObjFaninC0(pObjLi) ? " " : "~", nDigits, Aig_ObjFanin0(pObjLi)->iData );
+ if ( Aig_ObjIsConst1(Aig_ObjFanin0(pObjLi)) )
+ pConst1 = Aig_ManConst1(p);
+ }
+ }
+ if ( pConst1 )
+ fprintf( pFile, "assign n%0*d = 1\'b1;\n", nDigits, pConst1->iData );
+
+ // write initial state
+ if ( Aig_ManRegNum(p) )
+ {
+ Aig_ManForEachLiLoSeq( p, pObjLi, pObjLo, i )
+ fprintf( pFile, "always @ (posedge clock) begin n%0*d <= n%0*d; end\n",
+ nDigits, pObjLo->iData,
+ nDigits, pObjLi->iData );
+ Aig_ManForEachLiLoSeq( p, pObjLi, pObjLo, i )
+ fprintf( pFile, "initial begin n%0*d <= 1\'b0; end\n",
+ nDigits, pObjLo->iData );
+ }
+
+ fprintf( pFile, "endmodule\n\n" );
+ fclose( pFile );
+ Vec_PtrFree( vNodes );
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/aig/aigWin.c b/src/aig/aig/aigWin.c
new file mode 100644
index 00000000..0485b243
--- /dev/null
+++ b/src/aig/aig/aigWin.c
@@ -0,0 +1,184 @@
+/**CFile****************************************************************
+
+ FileName [aigWin.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [AIG package.]
+
+ Synopsis [Window computation.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - April 28, 2007.]
+
+ Revision [$Id: aigWin.c,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "aig.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Evaluate the cost of removing the node from the set of leaves.]
+
+ Description [Returns the number of new leaves that will be brought in.
+ Returns large number if the node cannot be removed from the set of leaves.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int Aig_NodeGetLeafCostOne( Aig_Obj_t * pNode, int nFanoutLimit )
+{
+ int Cost;
+ // make sure the node is in the construction zone
+ assert( pNode->fMarkA );
+ // cannot expand over the PI node
+ if ( Aig_ObjIsPi(pNode) )
+ return 999;
+ // get the cost of the cone
+ Cost = (!Aig_ObjFanin0(pNode)->fMarkA) + (!Aig_ObjFanin1(pNode)->fMarkA);
+ // always accept if the number of leaves does not increase
+ if ( Cost < 2 )
+ return Cost;
+ // skip nodes with many fanouts
+ if ( (int)pNode->nRefs > nFanoutLimit )
+ return 999;
+ // return the number of nodes that will be on the leaves if this node is removed
+ return Cost;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Builds reconvergence-driven cut by changing one leaf at a time.]
+
+ Description [This procedure looks at the current leaves and tries to change
+ one leaf at a time in such a way that the cut grows as little as possible.
+ In evaluating the fanins, this procedure looks only at their immediate
+ predecessors (this is why it is called a one-level construction procedure).]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Aig_ManFindCut_int( Vec_Ptr_t * vFront, Vec_Ptr_t * vVisited, int nSizeLimit, int nFanoutLimit )
+{
+ Aig_Obj_t * pNode, * pFaninBest, * pNext;
+ int CostBest, CostCur, i;
+ // find the best fanin
+ CostBest = 100;
+ pFaninBest = NULL;
+//printf( "Evaluating fanins of the cut:\n" );
+ Vec_PtrForEachEntry( vFront, pNode, i )
+ {
+ CostCur = Aig_NodeGetLeafCostOne( pNode, nFanoutLimit );
+//printf( " Fanin %s has cost %d.\n", Aig_ObjName(pNode), CostCur );
+ if ( CostBest > CostCur ||
+ (CostBest == CostCur && pNode->Level > pFaninBest->Level) )
+ {
+ CostBest = CostCur;
+ pFaninBest = pNode;
+ }
+ if ( CostBest == 0 )
+ break;
+ }
+ if ( pFaninBest == NULL )
+ return 0;
+ assert( CostBest < 3 );
+ if ( Vec_PtrSize(vFront) - 1 + CostBest > nSizeLimit )
+ return 0;
+ assert( Aig_ObjIsNode(pFaninBest) );
+ // remove the node from the array
+ Vec_PtrRemove( vFront, pFaninBest );
+//printf( "Removing fanin %s.\n", Aig_ObjName(pFaninBest) );
+
+ // add the left child to the fanins
+ pNext = Aig_ObjFanin0(pFaninBest);
+ if ( !pNext->fMarkA )
+ {
+//printf( "Adding fanin %s.\n", Aig_ObjName(pNext) );
+ pNext->fMarkA = 1;
+ Vec_PtrPush( vFront, pNext );
+ Vec_PtrPush( vVisited, pNext );
+ }
+ // add the right child to the fanins
+ pNext = Aig_ObjFanin1(pFaninBest);
+ if ( !pNext->fMarkA )
+ {
+//printf( "Adding fanin %s.\n", Aig_ObjName(pNext) );
+ pNext->fMarkA = 1;
+ Vec_PtrPush( vFront, pNext );
+ Vec_PtrPush( vVisited, pNext );
+ }
+ assert( Vec_PtrSize(vFront) <= nSizeLimit );
+ // keep doing this
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes one sequential cut of the given size.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_ManFindCut( Aig_Obj_t * pRoot, Vec_Ptr_t * vFront, Vec_Ptr_t * vVisited, int nSizeLimit, int nFanoutLimit )
+{
+ Aig_Obj_t * pNode;
+ int i;
+
+ assert( !Aig_IsComplement(pRoot) );
+ assert( Aig_ObjIsNode(pRoot) );
+ assert( Aig_ObjChild0(pRoot) );
+ assert( Aig_ObjChild1(pRoot) );
+
+ // start the cut
+ Vec_PtrClear( vFront );
+ Vec_PtrPush( vFront, Aig_ObjFanin0(pRoot) );
+ Vec_PtrPush( vFront, Aig_ObjFanin1(pRoot) );
+
+ // start the visited nodes
+ Vec_PtrClear( vVisited );
+ Vec_PtrPush( vVisited, pRoot );
+ Vec_PtrPush( vVisited, Aig_ObjFanin0(pRoot) );
+ Vec_PtrPush( vVisited, Aig_ObjFanin1(pRoot) );
+
+ // mark these nodes
+ assert( !pRoot->fMarkA );
+ assert( !Aig_ObjFanin0(pRoot)->fMarkA );
+ assert( !Aig_ObjFanin1(pRoot)->fMarkA );
+ pRoot->fMarkA = 1;
+ Aig_ObjFanin0(pRoot)->fMarkA = 1;
+ Aig_ObjFanin1(pRoot)->fMarkA = 1;
+
+ // compute the cut
+ while ( Aig_ManFindCut_int( vFront, vVisited, nSizeLimit, nFanoutLimit ) );
+ assert( Vec_PtrSize(vFront) <= nSizeLimit );
+
+ // clean the visit markings
+ Vec_PtrForEachEntry( vVisited, pNode, i )
+ pNode->fMarkA = 0;
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/aig/aig_.c b/src/aig/aig/aig_.c
new file mode 100644
index 00000000..b2313d35
--- /dev/null
+++ b/src/aig/aig/aig_.c
@@ -0,0 +1,48 @@
+/**CFile****************************************************************
+
+ FileName [aig_.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [AIG package.]
+
+ Synopsis []
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - April 28, 2007.]
+
+ Revision [$Id: aig_.c,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "aig.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/aig/module.make b/src/aig/aig/module.make
new file mode 100644
index 00000000..c35e7121
--- /dev/null
+++ b/src/aig/aig/module.make
@@ -0,0 +1,21 @@
+SRC += src/aig/aig/aigCheck.c \
+ src/aig/aig/aigDfs.c \
+ src/aig/aig/aigFanout.c \
+ src/aig/aig/aigMan.c \
+ src/aig/aig/aigMem.c \
+ src/aig/aig/aigMffc.c \
+ src/aig/aig/aigObj.c \
+ src/aig/aig/aigOper.c \
+ src/aig/aig/aigOrder.c \
+ src/aig/aig/aigPart.c \
+ src/aig/aig/aigRepr.c \
+ src/aig/aig/aigRet.c \
+ src/aig/aig/aigScl.c \
+ src/aig/aig/aigSeq.c \
+ src/aig/aig/aigTable.c \
+ src/aig/aig/aigTime.c \
+ src/aig/aig/aigTiming.c \
+ src/aig/aig/aigTruth.c \
+ src/aig/aig/aigTsim.c \
+ src/aig/aig/aigUtil.c \
+ src/aig/aig/aigWin.c \ No newline at end of file
diff --git a/src/aig/bar/bar.c b/src/aig/bar/bar.c
new file mode 100644
index 00000000..8c215b48
--- /dev/null
+++ b/src/aig/bar/bar.c
@@ -0,0 +1,177 @@
+/**CFile****************************************************************
+
+ FileName [bar.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [extra]
+
+ Synopsis [Progress bar.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - June 20, 2005.]
+
+ Revision [$Id: bar.c,v 1.0 2003/02/01 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include "bar.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+struct Bar_Progress_t_
+{
+ int nItemsNext; // the number of items for the next update of the progress bar
+ int nItemsTotal; // the total number of items
+ int posTotal; // the total number of positions
+ int posCur; // the current position
+ FILE * pFile; // the output stream
+};
+
+static void Bar_ProgressShow( Bar_Progress_t * p, char * pString );
+static void Bar_ProgressClean( Bar_Progress_t * p );
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Starts the progress bar.]
+
+ Description [The first parameter is the output stream (pFile), where
+ the progress is printed. The current printing position should be the
+ first one on the given line. The second parameters is the total
+ number of items that correspond to 100% position of the progress bar.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Bar_Progress_t * Bar_ProgressStart( FILE * pFile, int nItemsTotal )
+{
+ Bar_Progress_t * p;
+// extern int Abc_FrameShowProgress( void * p );
+// extern void * Abc_FrameGetGlobalFrame();
+// if ( !Abc_FrameShowProgress(Abc_FrameGetGlobalFrame()) ) return NULL;
+ p = (Bar_Progress_t *) malloc(sizeof(Bar_Progress_t));
+ memset( p, 0, sizeof(Bar_Progress_t) );
+ p->pFile = pFile;
+ p->nItemsTotal = nItemsTotal;
+ p->posTotal = 78;
+ p->posCur = 1;
+ p->nItemsNext = (int)((7.0+p->posCur)*p->nItemsTotal/p->posTotal);
+ Bar_ProgressShow( p, NULL );
+ return p;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Updates the progress bar.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Bar_ProgressUpdate_int( Bar_Progress_t * p, int nItemsCur, char * pString )
+{
+ if ( p == NULL ) return;
+ if ( nItemsCur < p->nItemsNext )
+ return;
+ if ( nItemsCur >= p->nItemsTotal )
+ {
+ p->posCur = 78;
+ p->nItemsNext = 0x7FFFFFFF;
+ }
+ else
+ {
+ p->posCur += 7;
+ p->nItemsNext = (int)((7.0+p->posCur)*p->nItemsTotal/p->posTotal);
+ }
+ Bar_ProgressShow( p, pString );
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Stops the progress bar.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Bar_ProgressStop( Bar_Progress_t * p )
+{
+ if ( p == NULL ) return;
+ Bar_ProgressClean( p );
+ free( p );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Prints the progress bar of the given size.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Bar_ProgressShow( Bar_Progress_t * p, char * pString )
+{
+ int i;
+ if ( p == NULL ) return;
+ if ( pString )
+ fprintf( p->pFile, "%s ", pString );
+ for ( i = (pString? strlen(pString) + 1 : 0); i < p->posCur; i++ )
+ fprintf( p->pFile, "-" );
+ if ( i == p->posCur )
+ fprintf( p->pFile, ">" );
+ for ( i++ ; i <= p->posTotal; i++ )
+ fprintf( p->pFile, " " );
+ fprintf( p->pFile, "\r" );
+ fflush( stdout );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Cleans the progress bar before quitting.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Bar_ProgressClean( Bar_Progress_t * p )
+{
+ int i;
+ if ( p == NULL ) return;
+ for ( i = 0; i <= p->posTotal; i++ )
+ fprintf( p->pFile, " " );
+ fprintf( p->pFile, "\r" );
+ fflush( stdout );
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/bar/bar.h b/src/aig/bar/bar.h
new file mode 100644
index 00000000..814fbe6f
--- /dev/null
+++ b/src/aig/bar/bar.h
@@ -0,0 +1,74 @@
+/**CFile****************************************************************
+
+ FileName [bar.h]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [Progress bar.]
+
+ Synopsis [External declarations.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - June 20, 2005.]
+
+ Revision [$Id: bar.h,v 1.00 2005/06/20 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#ifndef __BAR_H__
+#define __BAR_H__
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+#ifdef _WIN32
+#define inline __inline // compatible with MS VS 6.0
+#endif
+
+////////////////////////////////////////////////////////////////////////
+/// INCLUDES ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// PARAMETERS ///
+////////////////////////////////////////////////////////////////////////
+
+#define BAR_PROGRESS_USE 1
+
+////////////////////////////////////////////////////////////////////////
+/// BASIC TYPES ///
+////////////////////////////////////////////////////////////////////////
+
+typedef struct Bar_Progress_t_ Bar_Progress_t;
+
+////////////////////////////////////////////////////////////////////////
+/// MACRO DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/*=== bar.c ==========================================================*/
+extern Bar_Progress_t * Bar_ProgressStart( FILE * pFile, int nItemsTotal );
+extern void Bar_ProgressStop( Bar_Progress_t * p );
+extern void Bar_ProgressUpdate_int( Bar_Progress_t * p, int nItemsCur, char * pString );
+
+static inline void Bar_ProgressUpdate( Bar_Progress_t * p, int nItemsCur, char * pString ) {
+ if ( BAR_PROGRESS_USE && p && (nItemsCur < *((int*)p)) ) return; Bar_ProgressUpdate_int(p, nItemsCur, pString); }
+
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
diff --git a/src/aig/bar/module.make b/src/aig/bar/module.make
new file mode 100644
index 00000000..26161ba1
--- /dev/null
+++ b/src/aig/bar/module.make
@@ -0,0 +1 @@
+SRC += src/aig/bar/bar.c
diff --git a/src/aig/bdc/bdc.h b/src/aig/bdc/bdc.h
new file mode 100644
index 00000000..71875edb
--- /dev/null
+++ b/src/aig/bdc/bdc.h
@@ -0,0 +1,73 @@
+/**CFile****************************************************************
+
+ FileName [bdc.h]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [Truth-table-based bi-decomposition engine.]
+
+ Synopsis [External declarations.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - January 30, 2007.]
+
+ Revision [$Id: bdc.h,v 1.00 2007/01/30 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#ifndef __BDC_H__
+#define __BDC_H__
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+////////////////////////////////////////////////////////////////////////
+/// INCLUDES ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// PARAMETERS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// BASIC TYPES ///
+////////////////////////////////////////////////////////////////////////
+
+typedef struct Bdc_Man_t_ Bdc_Man_t;
+typedef struct Bdc_Par_t_ Bdc_Par_t;
+struct Bdc_Par_t_
+{
+ // general parameters
+ int nVarsMax; // the maximum support
+ int fVerbose; // enable basic stats
+ int fVeryVerbose; // enable detailed stats
+};
+
+////////////////////////////////////////////////////////////////////////
+/// MACRO DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/*=== bdcCore.c ==========================================================*/
+extern Bdc_Man_t * Bdc_ManAlloc( Bdc_Par_t * pPars );
+extern void Bdc_ManFree( Bdc_Man_t * p );
+extern int Bdc_ManDecompose( Bdc_Man_t * p, unsigned * puFunc, unsigned * puCare, int nVars, Vec_Ptr_t * vDivs, int nNodesLimit );
+
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
diff --git a/src/aig/bdc/bdcCore.c b/src/aig/bdc/bdcCore.c
new file mode 100644
index 00000000..157927b1
--- /dev/null
+++ b/src/aig/bdc/bdcCore.c
@@ -0,0 +1,189 @@
+/**CFile****************************************************************
+
+ FileName [bdcCore.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [Truth-table-based bi-decomposition engine.]
+
+ Synopsis [The gateway to bi-decomposition.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - January 30, 2007.]
+
+ Revision [$Id: bdcCore.c,v 1.00 2007/01/30 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "bdcInt.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Allocate resynthesis manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Bdc_Man_t * Bdc_ManAlloc( Bdc_Par_t * pPars )
+{
+ Bdc_Man_t * p;
+ unsigned * pData;
+ int i, k, nBits;
+ p = ALLOC( Bdc_Man_t, 1 );
+ memset( p, 0, sizeof(Bdc_Man_t) );
+ assert( pPars->nVarsMax > 3 && pPars->nVarsMax < 16 );
+ p->pPars = pPars;
+ p->nWords = Kit_TruthWordNum( pPars->nVarsMax );
+ p->nDivsLimit = 200;
+ p->nNodesLimit = 0; // will be set later
+ // memory
+ p->vMemory = Vec_IntStart( 1 << 16 );
+ // internal nodes
+ p->nNodesAlloc = 512;
+ p->pNodes = ALLOC( Bdc_Fun_t, p->nNodesAlloc );
+ // set up hash table
+ p->nTableSize = (1 << p->pPars->nVarsMax);
+ p->pTable = ALLOC( Bdc_Fun_t *, p->nTableSize );
+ memset( p->pTable, 0, sizeof(Bdc_Fun_t *) * p->nTableSize );
+ p->vSpots = Vec_IntAlloc( 256 );
+ // truth tables
+ p->vTruths = Vec_PtrAllocSimInfo( pPars->nVarsMax + 5, p->nWords );
+ // set elementary truth tables
+ nBits = (1 << pPars->nVarsMax);
+ Kit_TruthFill( Vec_PtrEntry(p->vTruths, 0), p->nVars );
+ for ( k = 0; k < pPars->nVarsMax; k++ )
+ {
+ pData = Vec_PtrEntry( p->vTruths, k+1 );
+ Kit_TruthClear( pData, p->nVars );
+ for ( i = 0; i < nBits; i++ )
+ if ( i & (1 << k) )
+ pData[i>>5] |= (1 << (i&31));
+ }
+ p->puTemp1 = Vec_PtrEntry( p->vTruths, pPars->nVarsMax + 1 );
+ p->puTemp2 = Vec_PtrEntry( p->vTruths, pPars->nVarsMax + 2 );
+ p->puTemp3 = Vec_PtrEntry( p->vTruths, pPars->nVarsMax + 3 );
+ p->puTemp4 = Vec_PtrEntry( p->vTruths, pPars->nVarsMax + 4 );
+ // start the internal ISFs
+ p->pIsfOL = &p->IsfOL; Bdc_IsfStart( p, p->pIsfOL );
+ p->pIsfOR = &p->IsfOR; Bdc_IsfStart( p, p->pIsfOR );
+ p->pIsfAL = &p->IsfAL; Bdc_IsfStart( p, p->pIsfAL );
+ p->pIsfAR = &p->IsfAR; Bdc_IsfStart( p, p->pIsfAR );
+ return p;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Deallocate resynthesis manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Bdc_ManFree( Bdc_Man_t * p )
+{
+ Vec_IntFree( p->vMemory );
+ Vec_IntFree( p->vSpots );
+ Vec_PtrFree( p->vTruths );
+ free( p->pNodes );
+ free( p->pTable );
+ free( p );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Clears the manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Bdc_ManPrepare( Bdc_Man_t * p, Vec_Ptr_t * vDivs )
+{
+ unsigned * puTruth;
+ Bdc_Fun_t * pNode;
+ int i;
+ Bdc_TableClear( p );
+ Vec_IntClear( p->vMemory );
+ // add constant 1 and elementary vars
+ p->nNodes = p->nNodesNew = 0;
+ for ( i = 0; i <= p->pPars->nVarsMax; i++ )
+ {
+ pNode = Bdc_FunNew( p );
+ pNode->Type = BDC_TYPE_PI;
+ pNode->puFunc = Vec_PtrEntry( p->vTruths, i );
+ pNode->uSupp = i? (1 << (i-1)) : 0;
+ Bdc_TableAdd( p, pNode );
+ }
+ // add the divisors
+ Vec_PtrForEachEntry( vDivs, puTruth, i )
+ {
+ pNode = Bdc_FunNew( p );
+ pNode->Type = BDC_TYPE_PI;
+ pNode->puFunc = puTruth;
+ pNode->uSupp = Kit_TruthSupport( puTruth, p->nVars );
+ Bdc_TableAdd( p, pNode );
+ if ( i == p->nDivsLimit )
+ break;
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs decomposition of one function.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Bdc_ManDecompose( Bdc_Man_t * p, unsigned * puFunc, unsigned * puCare, int nVars, Vec_Ptr_t * vDivs, int nNodesMax )
+{
+ Bdc_Isf_t Isf, * pIsf = &Isf;
+ // set current manager parameters
+ p->nVars = nVars;
+ p->nWords = Kit_TruthWordNum( nVars );
+ Bdc_ManPrepare( p, vDivs );
+ p->nNodesLimit = (p->nNodes + nNodesMax < p->nNodesAlloc)? p->nNodes + nNodesMax : p->nNodesAlloc;
+ // copy the function
+ Bdc_IsfStart( p, pIsf );
+ Bdc_IsfClean( pIsf );
+ pIsf->uSupp = Kit_TruthSupport( puFunc, p->nVars ) | Kit_TruthSupport( puCare, p->nVars );
+ Kit_TruthAnd( pIsf->puOn, puCare, puFunc, p->nVars );
+ Kit_TruthSharp( pIsf->puOff, puCare, puFunc, p->nVars );
+ // call decomposition
+ Bdc_SuppMinimize( p, pIsf );
+ p->pRoot = Bdc_ManDecompose_rec( p, pIsf );
+ if ( p->pRoot == NULL )
+ return -1;
+ return p->nNodesNew;
+}
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/bdc/bdcDec.c b/src/aig/bdc/bdcDec.c
new file mode 100644
index 00000000..747fcb14
--- /dev/null
+++ b/src/aig/bdc/bdcDec.c
@@ -0,0 +1,461 @@
+/**CFile****************************************************************
+
+ FileName [bdcDec.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [Truth-table-based bi-decomposition engine.]
+
+ Synopsis [Decomposition procedures.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - January 30, 2007.]
+
+ Revision [$Id: bdcDec.c,v 1.00 2007/01/30 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "bdcInt.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+static Bdc_Type_t Bdc_DecomposeStep( Bdc_Man_t * p, Bdc_Isf_t * pIsf, Bdc_Isf_t * pIsfL, Bdc_Isf_t * pIsfR );
+static int Bdc_DecomposeUpdateRight( Bdc_Man_t * p, Bdc_Isf_t * pIsf, Bdc_Isf_t * pIsfL, Bdc_Isf_t * pIsfR, unsigned * puTruth, Bdc_Type_t Type );
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Performs one step of bi-decomposition.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Bdc_Fun_t * Bdc_ManDecompose_rec( Bdc_Man_t * p, Bdc_Isf_t * pIsf )
+{
+ Bdc_Fun_t * pFunc;
+ Bdc_Isf_t IsfL, * pIsfL = &IsfL;
+ Bdc_Isf_t IsfB, * pIsfR = &IsfB;
+ // check computed results
+ if ( pFunc = Bdc_TableLookup( p, pIsf ) )
+ return pFunc;
+ // decide on the decomposition type
+ pFunc = Bdc_FunNew( p );
+ if ( pFunc == NULL )
+ return NULL;
+ pFunc->Type = Bdc_DecomposeStep( p, pIsf, pIsfL, pIsfR );
+ // decompose the left branch
+ pFunc->pFan0 = Bdc_ManDecompose_rec( p, pIsfL );
+ if ( pFunc->pFan0 == NULL )
+ return NULL;
+ // decompose the right branch
+ if ( Bdc_DecomposeUpdateRight( p, pIsf, pIsfL, pIsfR, pFunc->pFan0->puFunc, pFunc->Type ) )
+ {
+ p->nNodes--;
+ return pFunc->pFan0;
+ }
+ pFunc->pFan1 = Bdc_ManDecompose_rec( p, pIsfL );
+ if ( pFunc->pFan1 == NULL )
+ return NULL;
+ // compute the function of node
+ pFunc->puFunc = (unsigned *)Vec_IntFetch(p->vMemory, p->nWords);
+ if ( pFunc->Type == BDC_TYPE_AND )
+ Kit_TruthAnd( pFunc->puFunc, pFunc->pFan0->puFunc, pFunc->pFan1->puFunc, p->nVars );
+ else if ( pFunc->Type == BDC_TYPE_OR )
+ Kit_TruthOr( pFunc->puFunc, pFunc->pFan0->puFunc, pFunc->pFan1->puFunc, p->nVars );
+ else
+ assert( 0 );
+ // verify correctness
+ assert( Bdc_TableCheckContainment(p, pIsf, pFunc->puFunc) );
+ // convert from OR to AND
+ if ( pFunc->Type == BDC_TYPE_OR )
+ {
+ pFunc->Type = BDC_TYPE_AND;
+ pFunc->pFan0 = Bdc_Not(pFunc->pFan0);
+ pFunc->pFan1 = Bdc_Not(pFunc->pFan1);
+ Kit_TruthNot( pFunc->puFunc, pFunc->puFunc, p->nVars );
+ pFunc = Bdc_Not(pFunc);
+ }
+ Bdc_TableAdd( p, Bdc_Regular(pFunc) );
+ return pFunc;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Updates the ISF of the right after the left was decompoosed.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Bdc_DecomposeUpdateRight( Bdc_Man_t * p, Bdc_Isf_t * pIsf, Bdc_Isf_t * pIsfL, Bdc_Isf_t * pIsfR, unsigned * puTruth, Bdc_Type_t Type )
+{
+ if ( Type == BDC_TYPE_OR )
+ {
+// Right.Q = bdd_appex( Q, CompSpecLeftF, bddop_diff, setRightRes );
+// Right.R = bdd_exist( R, setRightRes );
+
+// if ( pR->Q ) Cudd_RecursiveDeref( dd, pR->Q );
+// if ( pR->R ) Cudd_RecursiveDeref( dd, pR->R );
+// pR->Q = Cudd_bddAndAbstract( dd, pF->Q, Cudd_Not(CompSpecF), pL->V ); Cudd_Ref( pR->Q );
+// pR->R = Cudd_bddExistAbstract( dd, pF->R, pL->V ); Cudd_Ref( pR->R );
+
+// assert( pR->R != b0 );
+// return (int)( pR->Q == b0 );
+
+ Kit_TruthSharp( pIsfR->puOn, pIsf->puOn, puTruth, p->nVars );
+ Kit_TruthExistSet( pIsfR->puOn, pIsfR->puOn, p->nVars, pIsfL->uSupp );
+ Kit_TruthExistSet( pIsfR->puOff, pIsf->puOff, p->nVars, pIsfL->uSupp );
+ assert( !Kit_TruthIsConst0(pIsfR->puOff, p->nVars) );
+ return Kit_TruthIsConst0(pIsfR->puOn, p->nVars);
+ }
+ else if ( Type == BDC_TYPE_AND )
+ {
+// Right.R = bdd_appex( R, CompSpecLeftF, bddop_and, setRightRes );
+// Right.Q = bdd_exist( Q, setRightRes );
+
+// if ( pR->Q ) Cudd_RecursiveDeref( dd, pR->Q );
+// if ( pR->R ) Cudd_RecursiveDeref( dd, pR->R );
+// pR->R = Cudd_bddAndAbstract( dd, pF->R, CompSpecF, pL->V ); Cudd_Ref( pR->R );
+// pR->Q = Cudd_bddExistAbstract( dd, pF->Q, pL->V ); Cudd_Ref( pR->Q );
+
+// assert( pR->Q != b0 );
+// return (int)( pR->R == b0 );
+
+ Kit_TruthSharp( pIsfR->puOn, pIsf->puOn, puTruth, p->nVars );
+ Kit_TruthExistSet( pIsfR->puOn, pIsfR->puOn, p->nVars, pIsfL->uSupp );
+ Kit_TruthExistSet( pIsfR->puOff, pIsf->puOff, p->nVars, pIsfL->uSupp );
+ assert( !Kit_TruthIsConst0(pIsfR->puOff, p->nVars) );
+ return Kit_TruthIsConst0(pIsfR->puOn, p->nVars);
+ }
+ return 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Checks existence of OR-bidecomposition.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int Bdc_DecomposeGetCost( Bdc_Man_t * p, int nLeftVars, int nRightVars )
+{
+ assert( nLeftVars > 0 );
+ assert( nRightVars > 0 );
+ // compute the decomposition coefficient
+ if ( nLeftVars >= nRightVars )
+ return BDC_SCALE * (p->nVars * nRightVars + nLeftVars);
+ else // if ( nLeftVars < nRightVars )
+ return BDC_SCALE * (p->nVars * nLeftVars + nRightVars);
+}
+
+/**Function*************************************************************
+
+ Synopsis [Checks existence of weak OR-bidecomposition.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Bdc_DecomposeFindInitialVarSet( Bdc_Man_t * p, Bdc_Isf_t * pIsf, Bdc_Isf_t * pIsfL, Bdc_Isf_t * pIsfR )
+{
+ char pVars[16];
+ int v, nVars, Beg, End;
+
+ assert( pIsfL->uSupp == 0 );
+ assert( pIsfR->uSupp == 0 );
+
+ // fill in the variables
+ nVars = 0;
+ for ( v = 0; v < p->nVars; v++ )
+ if ( pIsf->uSupp & (1 << v) )
+ pVars[nVars++] = v;
+
+ // try variable pairs
+ for ( Beg = 0; Beg < nVars; Beg++ )
+ {
+ Kit_TruthExistNew( p->puTemp1, pIsf->puOff, p->nVars, pVars[Beg] );
+ for ( End = nVars - 1; End > Beg; End-- )
+ {
+ Kit_TruthExistNew( p->puTemp2, pIsf->puOff, p->nVars, pVars[End] );
+ if ( Kit_TruthIsDisjoint3(pIsf->puOn, p->puTemp1, p->puTemp2, p->nVars) )
+ {
+ pIsfL->uSupp = (1 << Beg);
+ pIsfR->uSupp = (1 << End);
+ pIsfL->Var = Beg;
+ pIsfR->Var = End;
+ return 1;
+ }
+ }
+ }
+ return 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Checks existence of weak OR-bidecomposition.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Bdc_DecomposeWeakOr( Bdc_Man_t * p, Bdc_Isf_t * pIsf, Bdc_Isf_t * pIsfL, Bdc_Isf_t * pIsfR )
+{
+ int v, VarCost, VarBest, Cost, VarCostBest = 0;
+
+ for ( v = 0; v < p->nVars; v++ )
+ {
+ Kit_TruthExistNew( p->puTemp1, pIsf->puOff, p->nVars, v );
+// if ( (Q & !bdd_exist( R, VarSetXa )) != bddfalse )
+// Exist = Cudd_bddExistAbstract( dd, pF->R, Var ); Cudd_Ref( Exist );
+// if ( Cudd_bddIteConstant( dd, pF->Q, Cudd_Not(Exist), b0 ) != b0 )
+ if ( !Kit_TruthIsImply( pIsf->puOn, p->puTemp1, p->nVars ) )
+ {
+ // measure the cost of this variable
+// VarCost = bdd_satcountset( bdd_forall( Q, VarSetXa ), VarCube );
+
+// Univ = Cudd_bddUnivAbstract( dd, pF->Q, Var ); Cudd_Ref( Univ );
+// VarCost = Kit_TruthCountOnes( Univ, p->nVars );
+// Cudd_RecursiveDeref( dd, Univ );
+
+ Kit_TruthForallNew( p->puTemp2, pIsf->puOn, p->nVars, v );
+ VarCost = Kit_TruthCountOnes( p->puTemp2, p->nVars );
+ if ( VarCost == 0 )
+ VarCost = 1;
+ if ( VarCostBest < VarCost )
+ {
+ VarCostBest = VarCost;
+ VarBest = v;
+ }
+ }
+ }
+
+ // derive the components for weak-bi-decomposition if the variable is found
+ if ( VarCostBest )
+ {
+// funQLeftRes = Q & bdd_exist( R, setRightORweak );
+
+// Temp = Cudd_bddExistAbstract( dd, pF->R, VarBest ); Cudd_Ref( Temp );
+// pL->Q = Cudd_bddAnd( dd, pF->Q, Temp ); Cudd_Ref( pL->Q );
+// Cudd_RecursiveDeref( dd, Temp );
+
+ Kit_TruthExistNew( p->puTemp1, pIsf->puOff, p->nVars, VarBest );
+ Kit_TruthAnd( pIsfL->puOn, pIsf->puOn, p->puTemp1, p->nVars );
+
+// pL->R = pF->R; Cudd_Ref( pL->R );
+// pL->V = VarBest; Cudd_Ref( pL->V );
+ Kit_TruthCopy( pIsfL->puOff, pIsf->puOff, p->nVars );
+ pIsfL->Var = VarBest;
+
+// assert( pL->Q != b0 );
+// assert( pL->R != b0 );
+// assert( Cudd_bddIteConstant( dd, pL->Q, pL->R, b0 ) == b0 );
+
+ // express cost in percents of the covered boolean space
+ Cost = VarCostBest * BDC_SCALE / (1<<p->nVars);
+ if ( Cost == 0 )
+ Cost = 1;
+ return Cost;
+ }
+ return 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Checks existence of OR-bidecomposition.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Bdc_DecomposeOr( Bdc_Man_t * p, Bdc_Isf_t * pIsf, Bdc_Isf_t * pIsfL, Bdc_Isf_t * pIsfR )
+{
+ unsigned uSuppRem;
+ int v, nLeftVars = 1, nRightVars = 1;
+ // clean the var sets
+ Bdc_IsfClean( pIsfL );
+ Bdc_IsfClean( pIsfR );
+ // find initial variable sets
+ if ( !Bdc_DecomposeFindInitialVarSet( p, pIsf, pIsfL, pIsfR ) )
+ return Bdc_DecomposeWeakOr( p, pIsf, pIsfL, pIsfR );
+ // prequantify the variables in the offset
+ Kit_TruthExistNew( p->puTemp1, pIsf->puOff, p->nVars, pIsfL->Var );
+ Kit_TruthExistNew( p->puTemp2, pIsf->puOff, p->nVars, pIsfR->Var );
+ // go through the remaining variables
+ uSuppRem = pIsf->uSupp & ~pIsfL->uSupp & ~pIsfR->uSupp;
+ assert( Kit_WordCountOnes(uSuppRem) > 0 );
+ for ( v = 0; v < p->nVars; v++ )
+ {
+ if ( (uSuppRem & (1 << v)) == 0 )
+ continue;
+ // prequantify this variable
+ Kit_TruthExistNew( p->puTemp3, p->puTemp1, p->nVars, v );
+ Kit_TruthExistNew( p->puTemp4, p->puTemp2, p->nVars, v );
+ if ( nLeftVars < nRightVars )
+ {
+// if ( (Q & bdd_exist( pF->R, pL->V & VarNew ) & bdd_exist( pF->R, pR->V )) == bddfalse )
+// if ( VerifyORCondition( dd, pF->Q, pF->R, pL->V, pR->V, VarNew ) )
+ if ( Kit_TruthIsDisjoint3(pIsf->puOn, p->puTemp3, p->puTemp2, p->nVars) )
+ {
+// pL->V &= VarNew;
+ pIsfL->uSupp |= (1 << v);
+ nLeftVars++;
+ }
+// else if ( (Q & bdd_exist( pF->R, pR->V & VarNew ) & bdd_exist( pF->R, pL->V )) == bddfalse )
+ else if ( Kit_TruthIsDisjoint3(pIsf->puOn, p->puTemp4, p->puTemp1, p->nVars) )
+ {
+// pR->V &= VarNew;
+ pIsfR->uSupp |= (1 << v);
+ nRightVars++;
+ }
+ }
+ else
+ {
+// if ( (Q & bdd_exist( pF->R, pR->V & VarNew ) & bdd_exist( pF->R, pL->V )) == bddfalse )
+ if ( Kit_TruthIsDisjoint3(pIsf->puOn, p->puTemp4, p->puTemp1, p->nVars) )
+ {
+// pR->V &= VarNew;
+ pIsfR->uSupp |= (1 << v);
+ nRightVars++;
+ }
+// else if ( (Q & bdd_exist( pF->R, pL->V & VarNew ) & bdd_exist( pF->R, pR->V )) == bddfalse )
+ else if ( Kit_TruthIsDisjoint3(pIsf->puOn, p->puTemp3, p->puTemp2, p->nVars) )
+ {
+// pL->V &= VarNew;
+ pIsfL->uSupp |= (1 << v);
+ nLeftVars++;
+ }
+ }
+ }
+
+ // derive the functions Q and R for the left branch
+// pL->Q = bdd_appex( pF->Q, bdd_exist( pF->R, pL->V ), bddop_and, pR->V );
+// pL->R = bdd_exist( pF->R, pR->V );
+
+// Temp = Cudd_bddExistAbstract( dd, pF->R, pL->V ); Cudd_Ref( Temp );
+// pL->Q = Cudd_bddAndAbstract( dd, pF->Q, Temp, pR->V ); Cudd_Ref( pL->Q );
+// Cudd_RecursiveDeref( dd, Temp );
+// pL->R = Cudd_bddExistAbstract( dd, pF->R, pR->V ); Cudd_Ref( pL->R );
+
+ Kit_TruthAnd( pIsfL->puOn, pIsf->puOn, p->puTemp1, p->nVars );
+ Kit_TruthExistSet( pIsfL->puOn, pIsfL->puOn, p->nVars, pIsfR->uSupp );
+ Kit_TruthCopy( pIsfL->puOff, p->puTemp2, p->nVars );
+
+ // derive the functions Q and R for the right branch
+// Temp = Cudd_bddExistAbstract( dd, pF->R, pR->V ); Cudd_Ref( Temp );
+// pR->Q = Cudd_bddAndAbstract( dd, pF->Q, Temp, pL->V ); Cudd_Ref( pR->Q );
+// Cudd_RecursiveDeref( dd, Temp );
+// pR->R = Cudd_bddExistAbstract( dd, pF->R, pL->V ); Cudd_Ref( pR->R );
+
+/*
+ Kit_TruthAnd( pIsfR->puOn, pIsf->puOn, p->puTemp2, p->nVars );
+ Kit_TruthExistSet( pIsfR->puOn, pIsfR->puOn, p->nVars, pIsfL->uSupp );
+ Kit_TruthCopy( pIsfR->puOff, p->puTemp1, p->nVars );
+*/
+
+// assert( pL->Q != b0 );
+// assert( pL->R != b0 );
+// assert( Cudd_bddIteConstant( dd, pL->Q, pL->R, b0 ) == b0 );
+ assert( !Kit_TruthIsConst0(pIsfL->puOn, p->nVars) );
+ assert( !Kit_TruthIsConst0(pIsfL->puOff, p->nVars) );
+ assert( Kit_TruthIsDisjoint(pIsfL->puOn, pIsfL->puOff, p->nVars) );
+
+ return Bdc_DecomposeGetCost( p, nLeftVars, nRightVars );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs one step of bi-decomposition.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Bdc_Type_t Bdc_DecomposeStep( Bdc_Man_t * p, Bdc_Isf_t * pIsf, Bdc_Isf_t * pIsfL, Bdc_Isf_t * pIsfR )
+{
+ int CostOr, CostAnd, CostOrL, CostOrR, CostAndL, CostAndR;
+
+ Bdc_IsfClean( p->pIsfOL );
+ Bdc_IsfClean( p->pIsfOR );
+ Bdc_IsfClean( p->pIsfAL );
+ Bdc_IsfClean( p->pIsfAR );
+
+ // perform OR decomposition
+ CostOr = Bdc_DecomposeOr( p, pIsf, p->pIsfOL, p->pIsfOR );
+
+ // perform AND decomposition
+ Bdc_IsfNot( pIsf );
+ CostAnd = Bdc_DecomposeOr( p, pIsf, p->pIsfAL, p->pIsfAR );
+ Bdc_IsfNot( pIsf );
+ Bdc_IsfNot( p->pIsfAL );
+ Bdc_IsfNot( p->pIsfAR );
+
+ // check the hash table
+ Bdc_SuppMinimize( p, p->pIsfOL );
+ CostOrL = (Bdc_TableLookup(p, p->pIsfOL) != NULL);
+ Bdc_SuppMinimize( p, p->pIsfOR );
+ CostOrR = (Bdc_TableLookup(p, p->pIsfOR) != NULL);
+ Bdc_SuppMinimize( p, p->pIsfAL );
+ CostAndL = (Bdc_TableLookup(p, p->pIsfAL) != NULL);
+ Bdc_SuppMinimize( p, p->pIsfAR );
+ CostAndR = (Bdc_TableLookup(p, p->pIsfAR) != NULL);
+
+ // check if there is any reuse for the components
+ if ( CostOrL + CostOrR < CostAndL + CostAndR )
+ {
+ Bdc_IsfCopy( pIsfL, p->pIsfOL );
+ Bdc_IsfCopy( pIsfR, p->pIsfOR );
+ return BDC_TYPE_OR;
+ }
+ if ( CostOrL + CostOrR > CostAndL + CostAndR )
+ {
+ Bdc_IsfCopy( pIsfL, p->pIsfAL );
+ Bdc_IsfCopy( pIsfR, p->pIsfAR );
+ return BDC_TYPE_AND;
+ }
+
+ // compare the two-component costs
+ if ( CostOr < CostAnd )
+ {
+ Bdc_IsfCopy( pIsfL, p->pIsfOL );
+ Bdc_IsfCopy( pIsfR, p->pIsfOR );
+ return BDC_TYPE_OR;
+ }
+ return BDC_TYPE_AND;
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/bdc/bdcInt.h b/src/aig/bdc/bdcInt.h
new file mode 100644
index 00000000..9649f870
--- /dev/null
+++ b/src/aig/bdc/bdcInt.h
@@ -0,0 +1,150 @@
+/**CFile****************************************************************
+
+ FileName [bdcInt.h]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [Truth-table-based bi-decomposition engine.]
+
+ Synopsis [Internal declarations.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - January 15, 2007.]
+
+ Revision [$Id: resInt.h,v 1.00 2007/01/15 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#ifndef __BDC_INT_H__
+#define __BDC_INT_H__
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+////////////////////////////////////////////////////////////////////////
+/// INCLUDES ///
+////////////////////////////////////////////////////////////////////////
+
+#include "kit.h"
+#include "bdc.h"
+
+////////////////////////////////////////////////////////////////////////
+/// PARAMETERS ///
+////////////////////////////////////////////////////////////////////////
+
+#define BDC_SCALE 100 // value used to compute the cost
+
+////////////////////////////////////////////////////////////////////////
+/// BASIC TYPES ///
+////////////////////////////////////////////////////////////////////////
+
+// network types
+typedef enum {
+ BDC_TYPE_NONE = 0, // 0: unknown
+ BDC_TYPE_CONST1, // 1: constant 1
+ BDC_TYPE_PI, // 2: primary input
+ BDC_TYPE_AND, // 4: AND-gate
+ BDC_TYPE_OR, // 5: OR-gate (temporary)
+ BDC_TYPE_XOR, // 6: XOR-gate
+ BDC_TYPE_MUX, // 7: MUX-gate
+ BDC_TYPE_OTHER // 8: unused
+} Bdc_Type_t;
+
+typedef struct Bdc_Fun_t_ Bdc_Fun_t;
+struct Bdc_Fun_t_
+{
+ int Type; // Const1, PI, AND, XOR, MUX
+ Bdc_Fun_t * pFan0; // fanin of the given node
+ Bdc_Fun_t * pFan1; // fanin of the given node
+ Bdc_Fun_t * pFan2; // fanin of the given node
+ unsigned uSupp; // bit mask of current support
+ unsigned * puFunc; // the function of the node
+ Bdc_Fun_t * pNext; // next function with same support
+ void * pCopy; // the copy field
+};
+
+typedef struct Bdc_Isf_t_ Bdc_Isf_t;
+struct Bdc_Isf_t_
+{
+ int Var; // the first variable assigned
+ unsigned uSupp; // the current support
+ unsigned * puOn; // on-set
+ unsigned * puOff; // off-set
+};
+
+struct Bdc_Man_t_
+{
+ // external parameters
+ Bdc_Par_t * pPars; // parameter set
+ int nVars; // the number of variables
+ int nWords; // the number of words
+ int nNodesLimit; // the limit on the number of new nodes
+ int nDivsLimit; // the limit on the number of divisors
+ // internal nodes
+ Bdc_Fun_t * pNodes; // storage for decomposition nodes
+ int nNodes; // the number of nodes used
+ int nNodesNew; // the number of nodes used
+ int nNodesAlloc; // the number of nodes allocated
+ Bdc_Fun_t * pRoot; // the root node
+ // resub candidates
+ Bdc_Fun_t ** pTable; // hash table of candidates
+ int nTableSize; // hash table size (1 << nVarsMax)
+ Vec_Int_t * vSpots; // the occupied spots in the table
+ // elementary truth tables
+ Vec_Ptr_t * vTruths; // for const 1 and elementary variables
+ unsigned * puTemp1; // temporary truth table
+ unsigned * puTemp2; // temporary truth table
+ unsigned * puTemp3; // temporary truth table
+ unsigned * puTemp4; // temporary truth table
+ // temporary ISFs
+ Bdc_Isf_t * pIsfOL, IsfOL;
+ Bdc_Isf_t * pIsfOR, IsfOR;
+ Bdc_Isf_t * pIsfAL, IsfAL;
+ Bdc_Isf_t * pIsfAR, IsfAR;
+ // internal memory manager
+ Vec_Int_t * vMemory; // memory for internal truth tables
+};
+
+// working with complemented attributes of objects
+static inline int Bdc_IsComplement( Bdc_Fun_t * p ) { return (int)((unsigned long)p & (unsigned long)01); }
+static inline Bdc_Fun_t * Bdc_Regular( Bdc_Fun_t * p ) { return (Bdc_Fun_t *)((unsigned long)p & ~(unsigned long)01); }
+static inline Bdc_Fun_t * Bdc_Not( Bdc_Fun_t * p ) { return (Bdc_Fun_t *)((unsigned long)p ^ (unsigned long)01); }
+static inline Bdc_Fun_t * Bdc_NotCond( Bdc_Fun_t * p, int c ) { return (Bdc_Fun_t *)((unsigned long)p ^ (unsigned long)(c!=0)); }
+
+static inline Bdc_Fun_t * Bdc_FunNew( Bdc_Man_t * p ) { Bdc_Fun_t * pRes; if ( p->nNodes == p->nNodesLimit ) return NULL; pRes = p->pNodes + p->nNodes++; memset( pRes, 0, sizeof(Bdc_Fun_t) ); p->nNodesNew++; return pRes; }
+static inline void Bdc_IsfStart( Bdc_Man_t * p, Bdc_Isf_t * pF ) { pF->puOn = Vec_IntFetch( p->vMemory, p->nWords ); pF->puOff = Vec_IntFetch( p->vMemory, p->nWords ); }
+static inline void Bdc_IsfClean( Bdc_Isf_t * p ) { p->uSupp = 0; p->Var = 0; }
+static inline void Bdc_IsfCopy( Bdc_Isf_t * p, Bdc_Isf_t * q ) { Bdc_Isf_t T = *p; *p = *q; *q = T; }
+static inline void Bdc_IsfNot( Bdc_Isf_t * p ) { unsigned * puT = p->puOn; p->puOn = p->puOff; p->puOff = puT; }
+
+////////////////////////////////////////////////////////////////////////
+/// MACRO DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/*=== bdcDec.c ==========================================================*/
+extern Bdc_Fun_t * Bdc_ManDecompose_rec( Bdc_Man_t * p, Bdc_Isf_t * pIsf );
+/*=== bdcTable.c ==========================================================*/
+extern Bdc_Fun_t * Bdc_TableLookup( Bdc_Man_t * p, Bdc_Isf_t * pIsf );
+extern void Bdc_TableAdd( Bdc_Man_t * p, Bdc_Fun_t * pFunc );
+extern void Bdc_TableClear( Bdc_Man_t * p );
+extern void Bdc_SuppMinimize( Bdc_Man_t * p, Bdc_Isf_t * pIsf );
+extern int Bdc_TableCheckContainment( Bdc_Man_t * p, Bdc_Isf_t * pIsf, unsigned * puTruth );
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
diff --git a/src/aig/bdc/bdcTable.c b/src/aig/bdc/bdcTable.c
new file mode 100644
index 00000000..d86a938d
--- /dev/null
+++ b/src/aig/bdc/bdcTable.c
@@ -0,0 +1,140 @@
+/**CFile****************************************************************
+
+ FileName [bdcTable.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [Truth-table-based bi-decomposition engine.]
+
+ Synopsis [Hash table for intermediate nodes.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - January 30, 2007.]
+
+ Revision [$Id: bdcTable.c,v 1.00 2007/01/30 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "bdcInt.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Minimizes the support of the ISF.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Bdc_SuppMinimize( Bdc_Man_t * p, Bdc_Isf_t * pIsf )
+{
+ int v;
+ // go through the support variables
+ for ( v = 0; v < p->nVars; v++ )
+ {
+ if ( (pIsf->uSupp & (1 << v)) == 0 )
+ continue;
+ Kit_TruthExistNew( p->puTemp1, pIsf->puOn, p->nVars, v );
+ Kit_TruthExistNew( p->puTemp2, pIsf->puOff, p->nVars, v );
+ if ( !Kit_TruthIsDisjoint( p->puTemp1, p->puTemp2, p->nVars ) )
+ continue;
+ // remove the variable
+ Kit_TruthCopy( pIsf->puOn, p->puTemp1, p->nVars );
+ Kit_TruthCopy( pIsf->puOff, p->puTemp2, p->nVars );
+ pIsf->uSupp &= ~(1 << v);
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Checks containment of the function in the ISF.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Bdc_TableCheckContainment( Bdc_Man_t * p, Bdc_Isf_t * pIsf, unsigned * puTruth )
+{
+ return Kit_TruthIsImply( pIsf->puOn, puTruth, p->nVars ) &&
+ Kit_TruthIsDisjoint( pIsf->puOff, puTruth, p->nVars );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Adds the new entry to the hash table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Bdc_Fun_t * Bdc_TableLookup( Bdc_Man_t * p, Bdc_Isf_t * pIsf )
+{
+ Bdc_Fun_t * pFunc;
+ for ( pFunc = p->pTable[pIsf->uSupp]; pFunc; pFunc = pFunc->pNext )
+ if ( Bdc_TableCheckContainment( p, pIsf, pFunc->puFunc ) )
+ return pFunc;
+ return NULL;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Adds the new entry to the hash table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Bdc_TableAdd( Bdc_Man_t * p, Bdc_Fun_t * pFunc )
+{
+ if ( p->pTable[pFunc->uSupp] == NULL )
+ Vec_IntPush( p->vSpots, pFunc->uSupp );
+ pFunc->pNext = p->pTable[pFunc->uSupp];
+ p->pTable[pFunc->uSupp] = pFunc;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Adds the new entry to the hash table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Bdc_TableClear( Bdc_Man_t * p )
+{
+ int Spot, i;
+ Vec_IntForEachEntry( p->vSpots, Spot, i )
+ p->pTable[Spot] = NULL;
+ Vec_IntClear( p->vSpots );
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/bdc/bdc_.c b/src/aig/bdc/bdc_.c
new file mode 100644
index 00000000..9d0a9462
--- /dev/null
+++ b/src/aig/bdc/bdc_.c
@@ -0,0 +1,49 @@
+/**CFile****************************************************************
+
+ FileName [bdc_.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [Truth-table-based bi-decomposition engine.]
+
+ Synopsis []
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - January 30, 2007.]
+
+ Revision [$Id: bdc_.c,v 1.00 2007/01/30 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "bdcInt.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/bdc/module.make b/src/aig/bdc/module.make
new file mode 100644
index 00000000..8697c998
--- /dev/null
+++ b/src/aig/bdc/module.make
@@ -0,0 +1,4 @@
+SRC += src/aig/bdc/bdcCore.c \
+ src/aig/bdc/bdcDec.c \
+ src/aig/bdc/bdcTable.c
+
diff --git a/src/aig/cnf/cnf.h b/src/aig/cnf/cnf.h
new file mode 100644
index 00000000..5c7a594e
--- /dev/null
+++ b/src/aig/cnf/cnf.h
@@ -0,0 +1,162 @@
+/**CFile****************************************************************
+
+ FileName [cnf.h]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [DAG-aware AIG rewriting.]
+
+ Synopsis [External declarations.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - April 28, 2007.]
+
+ Revision [$Id: cnf.h,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#ifndef __CNF_H__
+#define __CNF_H__
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+////////////////////////////////////////////////////////////////////////
+/// INCLUDES ///
+////////////////////////////////////////////////////////////////////////
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <assert.h>
+#include <time.h>
+
+#include "vec.h"
+#include "aig.h"
+#include "darInt.h"
+
+////////////////////////////////////////////////////////////////////////
+/// PARAMETERS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// BASIC TYPES ///
+////////////////////////////////////////////////////////////////////////
+
+typedef struct Cnf_Man_t_ Cnf_Man_t;
+typedef struct Cnf_Dat_t_ Cnf_Dat_t;
+typedef struct Cnf_Cut_t_ Cnf_Cut_t;
+
+// the CNF asserting outputs of AIG to be 1
+struct Cnf_Dat_t_
+{
+ Aig_Man_t * pMan; // the AIG manager, for which CNF is computed
+ int nVars; // the number of variables
+ int nLiterals; // the number of CNF literals
+ int nClauses; // the number of CNF clauses
+ int ** pClauses; // the CNF clauses
+ int * pVarNums; // the number of CNF variable for each node ID (-1 if unused)
+};
+
+// the cut used to represent node in the AIG
+struct Cnf_Cut_t_
+{
+ char nFanins; // the number of leaves
+ char Cost; // the cost of this cut
+ short nWords; // the number of words in truth table
+ Vec_Int_t * vIsop[2]; // neg/pos ISOPs
+ int pFanins[0]; // the fanins (followed by the truth table)
+};
+
+// the CNF computation manager
+struct Cnf_Man_t_
+{
+ Aig_Man_t * pManAig; // the underlying AIG manager
+ char * pSopSizes; // sizes of SOPs for 4-variable functions
+ char ** pSops; // the SOPs for 4-variable functions
+ int aArea; // the area of the mapping
+ Aig_MmFlex_t * pMemCuts; // memory manager for cuts
+ int nMergeLimit; // the limit on the size of merged cut
+ unsigned * pTruths[4]; // temporary truth tables
+ Vec_Int_t * vMemory; // memory for intermediate ISOP representation
+ int timeCuts;
+ int timeMap;
+ int timeSave;
+};
+
+
+static inline Dar_Cut_t * Dar_ObjBestCut( Aig_Obj_t * pObj ) { Dar_Cut_t * pCut; int i; Dar_ObjForEachCut( pObj, pCut, i ) if ( pCut->fBest ) return pCut; return NULL; }
+
+static inline int Cnf_CutSopCost( Cnf_Man_t * p, Dar_Cut_t * pCut ) { return p->pSopSizes[pCut->uTruth] + p->pSopSizes[0xFFFF & ~pCut->uTruth]; }
+
+static inline int Cnf_CutLeaveNum( Cnf_Cut_t * pCut ) { return pCut->nFanins; }
+static inline int * Cnf_CutLeaves( Cnf_Cut_t * pCut ) { return pCut->pFanins; }
+static inline unsigned * Cnf_CutTruth( Cnf_Cut_t * pCut ) { return (unsigned *)(pCut->pFanins + pCut->nFanins); }
+
+static inline Cnf_Cut_t * Cnf_ObjBestCut( Aig_Obj_t * pObj ) { return pObj->pData; }
+static inline void Cnf_ObjSetBestCut( Aig_Obj_t * pObj, Cnf_Cut_t * pCut ) { pObj->pData = pCut; }
+
+////////////////////////////////////////////////////////////////////////
+/// MACRO DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// ITERATORS ///
+////////////////////////////////////////////////////////////////////////
+
+// iterator over leaves of the cut
+#define Cnf_CutForEachLeaf( p, pCut, pLeaf, i ) \
+ for ( i = 0; (i < (int)(pCut)->nFanins) && ((pLeaf) = Aig_ManObj(p, (pCut)->pFanins[i])); i++ )
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/*=== cnfCore.c ========================================================*/
+extern Cnf_Dat_t * Cnf_Derive( Aig_Man_t * pAig, int nOutputs );
+extern Cnf_Man_t * Cnf_ManRead();
+extern void Cnf_ClearMemory();
+/*=== cnfCut.c ========================================================*/
+extern Cnf_Cut_t * Cnf_CutCreate( Cnf_Man_t * p, Aig_Obj_t * pObj );
+extern void Cnf_CutPrint( Cnf_Cut_t * pCut );
+extern void Cnf_CutFree( Cnf_Cut_t * pCut );
+extern void Cnf_CutUpdateRefs( Cnf_Man_t * p, Cnf_Cut_t * pCut, Cnf_Cut_t * pCutFan, Cnf_Cut_t * pCutRes );
+extern Cnf_Cut_t * Cnf_CutCompose( Cnf_Man_t * p, Cnf_Cut_t * pCut, Cnf_Cut_t * pCutFan, int iFan );
+/*=== cnfData.c ========================================================*/
+extern void Cnf_ReadMsops( char ** ppSopSizes, char *** ppSops );
+/*=== cnfMan.c ========================================================*/
+extern Cnf_Man_t * Cnf_ManStart();
+extern void Cnf_ManStop( Cnf_Man_t * p );
+extern Vec_Int_t * Cnf_DataCollectPiSatNums( Cnf_Dat_t * pCnf, Aig_Man_t * p );
+extern void Cnf_DataFree( Cnf_Dat_t * p );
+extern void Cnf_DataWriteIntoFile( Cnf_Dat_t * p, char * pFileName, int fReadable );
+void * Cnf_DataWriteIntoSolver( Cnf_Dat_t * p );
+/*=== cnfMap.c ========================================================*/
+extern void Cnf_DeriveMapping( Cnf_Man_t * p );
+extern int Cnf_ManMapForCnf( Cnf_Man_t * p );
+/*=== cnfPost.c ========================================================*/
+extern void Cnf_ManTransferCuts( Cnf_Man_t * p );
+extern void Cnf_ManFreeCuts( Cnf_Man_t * p );
+extern void Cnf_ManPostprocess( Cnf_Man_t * p );
+/*=== cnfUtil.c ========================================================*/
+extern Vec_Ptr_t * Aig_ManScanMapping( Cnf_Man_t * p, int fCollect );
+extern Vec_Ptr_t * Cnf_ManScanMapping( Cnf_Man_t * p, int fCollect, int fPreorder );
+/*=== cnfWrite.c ========================================================*/
+extern void Cnf_SopConvertToVector( char * pSop, int nCubes, Vec_Int_t * vCover );
+extern Cnf_Dat_t * Cnf_ManWriteCnf( Cnf_Man_t * p, Vec_Ptr_t * vMapped, int nOutputs );
+extern Cnf_Dat_t * Cnf_DeriveSimple( Aig_Man_t * p, int nOutputs );
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
diff --git a/src/aig/cnf/cnfCore.c b/src/aig/cnf/cnfCore.c
new file mode 100644
index 00000000..06731451
--- /dev/null
+++ b/src/aig/cnf/cnfCore.c
@@ -0,0 +1,185 @@
+/**CFile****************************************************************
+
+ FileName [cnfCore.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [AIG-to-CNF conversion.]
+
+ Synopsis []
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - April 28, 2007.]
+
+ Revision [$Id: cnfCore.c,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "cnf.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+static Cnf_Man_t * s_pManCnf = NULL;
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Converts AIG into the SAT solver.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Cnf_Dat_t * Cnf_Derive( Aig_Man_t * pAig, int nOutputs )
+{
+ Cnf_Man_t * p;
+ Cnf_Dat_t * pCnf;
+ Vec_Ptr_t * vMapped;
+ Aig_MmFixed_t * pMemCuts;
+ int clk;
+ // allocate the CNF manager
+ if ( s_pManCnf == NULL )
+ s_pManCnf = Cnf_ManStart();
+ // connect the managers
+ p = s_pManCnf;
+ p->pManAig = pAig;
+
+ // generate cuts for all nodes, assign cost, and find best cuts
+clk = clock();
+ pMemCuts = Dar_ManComputeCuts( pAig, 10 );
+p->timeCuts = clock() - clk;
+
+ // find the mapping
+clk = clock();
+ Cnf_DeriveMapping( p );
+p->timeMap = clock() - clk;
+// Aig_ManScanMapping( p, 1 );
+
+ // convert it into CNF
+clk = clock();
+ Cnf_ManTransferCuts( p );
+ vMapped = Cnf_ManScanMapping( p, 1, 1 );
+ pCnf = Cnf_ManWriteCnf( p, vMapped, nOutputs );
+ Vec_PtrFree( vMapped );
+ Aig_MmFixedStop( pMemCuts, 0 );
+p->timeSave = clock() - clk;
+
+ // reset reference counters
+ Aig_ManResetRefs( pAig );
+//PRT( "Cuts ", p->timeCuts );
+//PRT( "Map ", p->timeMap );
+//PRT( "Saving ", p->timeSave );
+ return pCnf;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Cnf_Man_t * Cnf_ManRead()
+{
+ return s_pManCnf;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Cnf_ClearMemory()
+{
+ if ( s_pManCnf == NULL )
+ return;
+ Cnf_ManStop( s_pManCnf );
+ s_pManCnf = NULL;
+}
+
+
+#if 0
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Cnf_Dat_t * Cnf_Derive_old( Aig_Man_t * pAig )
+{
+/*
+ // iteratively improve area flow
+ for ( i = 0; i < nIters; i++ )
+ {
+clk = clock();
+ Cnf_ManScanMapping( p, 0 );
+ Cnf_ManMapForCnf( p );
+PRT( "iter ", clock() - clk );
+ }
+*/
+ // write the file
+ vMapped = Aig_ManScanMapping( p, 1 );
+ Vec_PtrFree( vMapped );
+
+clk = clock();
+ Cnf_ManTransferCuts( p );
+
+ Cnf_ManPostprocess( p );
+ Cnf_ManScanMapping( p, 0 );
+/*
+ Cnf_ManPostprocess( p );
+ Cnf_ManScanMapping( p, 0 );
+ Cnf_ManPostprocess( p );
+ Cnf_ManScanMapping( p, 0 );
+*/
+PRT( "Ext ", clock() - clk );
+
+/*
+ vMapped = Cnf_ManScanMapping( p, 1 );
+ pCnf = Cnf_ManWriteCnf( p, vMapped );
+ Vec_PtrFree( vMapped );
+
+ // clean up
+ Cnf_ManFreeCuts( p );
+ Dar_ManCutsFree( pAig );
+ return pCnf;
+*/
+ Aig_MmFixedStop( pMemCuts, 0 );
+ return NULL;
+}
+
+#endif
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/cnf/cnfCut.c b/src/aig/cnf/cnfCut.c
new file mode 100644
index 00000000..17ab0c78
--- /dev/null
+++ b/src/aig/cnf/cnfCut.c
@@ -0,0 +1,371 @@
+/**CFile****************************************************************
+
+ FileName [cnfCut.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [AIG-to-CNF conversion.]
+
+ Synopsis []
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - April 28, 2007.]
+
+ Revision [$Id: cnfCut.c,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "cnf.h"
+#include "kit.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Allocates cut of the given size.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Cnf_Cut_t * Cnf_CutAlloc( Cnf_Man_t * p, int nLeaves )
+{
+ Cnf_Cut_t * pCut;
+ int nSize = sizeof(Cnf_Cut_t) + sizeof(int) * nLeaves + sizeof(unsigned) * Aig_TruthWordNum(nLeaves);
+ pCut = (Cnf_Cut_t *)Aig_MmFlexEntryFetch( p->pMemCuts, nSize );
+ pCut->nFanins = nLeaves;
+ pCut->nWords = Aig_TruthWordNum(nLeaves);
+ pCut->vIsop[0] = pCut->vIsop[1] = NULL;
+ return pCut;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Deallocates cut.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Cnf_CutFree( Cnf_Cut_t * pCut )
+{
+ if ( pCut->vIsop[0] )
+ Vec_IntFree( pCut->vIsop[0] );
+ if ( pCut->vIsop[1] )
+ Vec_IntFree( pCut->vIsop[1] );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates cut for the given node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Cnf_Cut_t * Cnf_CutCreate( Cnf_Man_t * p, Aig_Obj_t * pObj )
+{
+ Dar_Cut_t * pCutBest;
+ Cnf_Cut_t * pCut;
+ unsigned * pTruth;
+ assert( Aig_ObjIsNode(pObj) );
+ pCutBest = Dar_ObjBestCut( pObj );
+ assert( pCutBest != NULL );
+ assert( pCutBest->nLeaves <= 4 );
+ pCut = Cnf_CutAlloc( p, pCutBest->nLeaves );
+ memcpy( pCut->pFanins, pCutBest->pLeaves, sizeof(int) * pCutBest->nLeaves );
+ pTruth = Cnf_CutTruth(pCut);
+ *pTruth = (pCutBest->uTruth << 16) | pCutBest->uTruth;
+ pCut->Cost = Cnf_CutSopCost( p, pCutBest );
+ return pCut;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Deallocates cut.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Cnf_CutPrint( Cnf_Cut_t * pCut )
+{
+ int i;
+ printf( "{" );
+ for ( i = 0; i < pCut->nFanins; i++ )
+ printf( "%d ", pCut->pFanins[i] );
+ printf( " } " );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Allocates cut of the given size.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Cnf_CutDeref( Cnf_Man_t * p, Cnf_Cut_t * pCut )
+{
+ Aig_Obj_t * pObj;
+ int i;
+ Cnf_CutForEachLeaf( p->pManAig, pCut, pObj, i )
+ {
+ assert( pObj->nRefs > 0 );
+ pObj->nRefs--;
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Allocates cut of the given size.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Cnf_CutRef( Cnf_Man_t * p, Cnf_Cut_t * pCut )
+{
+ Aig_Obj_t * pObj;
+ int i;
+ Cnf_CutForEachLeaf( p->pManAig, pCut, pObj, i )
+ {
+ pObj->nRefs++;
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Allocates cut of the given size.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Cnf_CutUpdateRefs( Cnf_Man_t * p, Cnf_Cut_t * pCut, Cnf_Cut_t * pCutFan, Cnf_Cut_t * pCutRes )
+{
+ Cnf_CutDeref( p, pCut );
+ Cnf_CutDeref( p, pCutFan );
+ Cnf_CutRef( p, pCutRes );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Merges two arrays of integers.]
+
+ Description [Returns the number of items.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int Cnf_CutMergeLeaves( Cnf_Cut_t * pCut, Cnf_Cut_t * pCutFan, int * pFanins )
+{
+ int i, k, nFanins = 0;
+ for ( i = k = 0; i < pCut->nFanins && k < pCutFan->nFanins; )
+ {
+ if ( pCut->pFanins[i] == pCutFan->pFanins[k] )
+ pFanins[nFanins++] = pCut->pFanins[i], i++, k++;
+ else if ( pCut->pFanins[i] < pCutFan->pFanins[k] )
+ pFanins[nFanins++] = pCut->pFanins[i], i++;
+ else
+ pFanins[nFanins++] = pCutFan->pFanins[k], k++;
+ }
+ for ( ; i < pCut->nFanins; i++ )
+ pFanins[nFanins++] = pCut->pFanins[i];
+ for ( ; k < pCutFan->nFanins; k++ )
+ pFanins[nFanins++] = pCutFan->pFanins[k];
+ return nFanins;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes the stretching phase of the cut w.r.t. the merged cut.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline unsigned Cnf_TruthPhase( Cnf_Cut_t * pCut, Cnf_Cut_t * pCut1 )
+{
+ unsigned uPhase = 0;
+ int i, k;
+ for ( i = k = 0; i < pCut->nFanins; i++ )
+ {
+ if ( k == pCut1->nFanins )
+ break;
+ if ( pCut->pFanins[i] < pCut1->pFanins[k] )
+ continue;
+ assert( pCut->pFanins[i] == pCut1->pFanins[k] );
+ uPhase |= (1 << i);
+ k++;
+ }
+ return uPhase;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Removes the fanin variable.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Cnf_CutRemoveIthVar( Cnf_Cut_t * pCut, int iVar, int iFan )
+{
+ int i;
+ assert( pCut->pFanins[iVar] == iFan );
+ pCut->nFanins--;
+ for ( i = iVar; i < pCut->nFanins; i++ )
+ pCut->pFanins[i] = pCut->pFanins[i+1];
+}
+
+/**Function*************************************************************
+
+ Synopsis [Inserts the fanin variable.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Cnf_CutInsertIthVar( Cnf_Cut_t * pCut, int iVar, int iFan )
+{
+ int i;
+ for ( i = pCut->nFanins; i > iVar; i-- )
+ pCut->pFanins[i] = pCut->pFanins[i-1];
+ pCut->pFanins[iVar] = iFan;
+ pCut->nFanins++;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Merges two cuts.]
+
+ Description [Returns NULL of the cuts cannot be merged.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Cnf_Cut_t * Cnf_CutCompose( Cnf_Man_t * p, Cnf_Cut_t * pCut, Cnf_Cut_t * pCutFan, int iFan )
+{
+ Cnf_Cut_t * pCutRes;
+ static int pFanins[32];
+ unsigned * pTruth, * pTruthFan, * pTruthRes;
+ unsigned * pTop = p->pTruths[0], * pFan = p->pTruths[2], * pTemp = p->pTruths[3];
+ unsigned uPhase, uPhaseFan;
+ int i, iVar, nFanins, RetValue;
+
+ // make sure the second cut is the fanin of the first
+ for ( iVar = 0; iVar < pCut->nFanins; iVar++ )
+ if ( pCut->pFanins[iVar] == iFan )
+ break;
+ assert( iVar < pCut->nFanins );
+ // remove this variable
+ Cnf_CutRemoveIthVar( pCut, iVar, iFan );
+ // merge leaves of the cuts
+ nFanins = Cnf_CutMergeLeaves( pCut, pCutFan, pFanins );
+ if ( nFanins+1 > p->nMergeLimit )
+ {
+ Cnf_CutInsertIthVar( pCut, iVar, iFan );
+ return NULL;
+ }
+ // create new cut
+ pCutRes = Cnf_CutAlloc( p, nFanins );
+ memcpy( pCutRes->pFanins, pFanins, sizeof(int) * nFanins );
+ assert( pCutRes->nFanins <= pCut->nFanins + pCutFan->nFanins );
+
+ // derive its truth table
+ // get the truth tables in the composition space
+ pTruth = Cnf_CutTruth(pCut);
+ pTruthFan = Cnf_CutTruth(pCutFan);
+ pTruthRes = Cnf_CutTruth(pCutRes);
+ for ( i = 0; i < 2*pCutRes->nWords; i++ )
+ pTop[i] = pTruth[i % pCut->nWords];
+ for ( i = 0; i < pCutRes->nWords; i++ )
+ pFan[i] = pTruthFan[i % pCutFan->nWords];
+ // move the variable to the end
+ uPhase = Kit_BitMask( pCutRes->nFanins+1 ) & ~(1 << iVar);
+ Kit_TruthShrink( pTemp, pTop, pCutRes->nFanins, pCutRes->nFanins+1, uPhase, 1 );
+ // compute the phases
+ uPhase = Cnf_TruthPhase( pCutRes, pCut ) | (1 << pCutRes->nFanins);
+ uPhaseFan = Cnf_TruthPhase( pCutRes, pCutFan );
+ // permute truth-tables to the common support
+ Kit_TruthStretch( pTemp, pTop, pCut->nFanins+1, pCutRes->nFanins+1, uPhase, 1 );
+ Kit_TruthStretch( pTemp, pFan, pCutFan->nFanins, pCutRes->nFanins, uPhaseFan, 1 );
+ // perform Boolean operation
+ Kit_TruthMux( pTruthRes, pTop, pTop+pCutRes->nWords, pFan, pCutRes->nFanins );
+ // return the cut to its original condition
+ Cnf_CutInsertIthVar( pCut, iVar, iFan );
+ // consider the simple case
+ if ( pCutRes->nFanins < 5 )
+ {
+ pCutRes->Cost = p->pSopSizes[0xFFFF & *pTruthRes] + p->pSopSizes[0xFFFF & ~*pTruthRes];
+ return pCutRes;
+ }
+
+ // derive ISOP for positive phase
+ RetValue = Kit_TruthIsop( pTruthRes, pCutRes->nFanins, p->vMemory, 0 );
+ pCutRes->vIsop[1] = (RetValue == -1)? NULL : Vec_IntDup( p->vMemory );
+ // derive ISOP for negative phase
+ Kit_TruthNot( pTruthRes, pTruthRes, pCutRes->nFanins );
+ RetValue = Kit_TruthIsop( pTruthRes, pCutRes->nFanins, p->vMemory, 0 );
+ pCutRes->vIsop[0] = (RetValue == -1)? NULL : Vec_IntDup( p->vMemory );
+ Kit_TruthNot( pTruthRes, pTruthRes, pCutRes->nFanins );
+
+ // compute the cut cost
+ if ( pCutRes->vIsop[0] == NULL || pCutRes->vIsop[1] == NULL )
+ pCutRes->Cost = 127;
+ else if ( Vec_IntSize(pCutRes->vIsop[0]) + Vec_IntSize(pCutRes->vIsop[1]) > 127 )
+ pCutRes->Cost = 127;
+ else
+ pCutRes->Cost = Vec_IntSize(pCutRes->vIsop[0]) + Vec_IntSize(pCutRes->vIsop[1]);
+ return pCutRes;
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/cnf/cnfData.c b/src/aig/cnf/cnfData.c
new file mode 100644
index 00000000..01f6ff8a
--- /dev/null
+++ b/src/aig/cnf/cnfData.c
@@ -0,0 +1,4784 @@
+/**CFile****************************************************************
+
+ FileName [cnfData.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [AIG-to-CNF conversion.]
+
+ Synopsis []
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - April 28, 2007.]
+
+ Revision [$Id: cnfData.c,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "cnf.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+static char s_Data3[81] = "!#&()*+,-.0123456789:;<=>?ABCDEFGHIJKLMNOPQRSTUVWXYZ[]abcdefghijklmnopqrstuvwxyz|";
+
+static char * s_Data4[] = {
+"! B a . 8 .B 8a K !K T Ta j 8j Tj s ( + (B +a (. +8 .B( +8a (K +K T( +T j( ",
+"+j Tj( s+ E !E H Ha E. 8E H. H8 EK EK! HT HTa jE 8jE Hj sH d +d Hd g d. 8d ",
+"Hd. g8 dK +dK Td gT dj +jd Hjd gs 2 !2 2B a2 5 58 5B 5a 2K 2K! T2 Ta2 5j 58",
+"j 5T s5 ; +; ;B a; 5; > 5;B >a ;K +;K T; +T; ;j >j 5T; s> E2 !E2 H2 Ha2 5E ",
+"58E H5 H58 EK2 !E2K HT2 TaH2 5jE 8j5E H5T sH5 d; +d; H; g; 5d >d H5d g> dK;",
+" dK+; H;T gT; 5dj >jd H;j gs> N !N NB aN N. 8N .BN 8aN Q Q! QT Qa Qj Q8 QTj",
+" sQ (N +N (BN +aN N.( +8N (BN. 8a+N Q( +Q QT( +QT Qj( +Q8 TjQ( s+Q W W! HW ",
+"Wa W. W8 HW. H8W WQ Q!W Z Za Wj W8Q Zj sZ Wd +W HWd gW Wd. +W8 WdH. gW8 Qd ",
+"+WQ Zd gZ Wjd +Wj Zdj gZs m m! mB am 5m 8m 5mB 5am Qm Q!m Tm Qam p p8 pT sp",
+" m; +m m;B +ma 5m; >m m;5B >ma Q; +Qm Q;T +Tm p; p> pT; sp> Wm W!m Hm Hma 5",
+"W 5W8 H5W H8m WQm WmQ! Zm Zam pW pW8 Zp sZp v v+ vH gv v5 v> vH5 gv> vQ v+Q",
+" Zv gZv pv pv> Zpv y # & #B a& #. 8& .B# 8a& #K &K T# T& j# &j Tj# s& #( +&",
+" #B( +a& #(. +8& #(.B 8a+& #(K +&K T#( +T& j#( +j& j#T( s+& #E &E H# H& #E.",
+" 8&E H#. H8& EK# &EK HT# H&T j#E &jE Hj# sH& d# d& Hd# g& d#. 8d& d#H. g8& ",
+"dK# d&K Td# gT& dj# d&j H#dj gs& #2 &2 2B# a&2 5# 5& 5B# 5a& 2K# &2K T#2 T&",
+"2 5j# 5&j 5T# s5& ;# ;& ;#B a;& 5;# >& ;#5B >&a ;#K ;&K T;# T;& ;j# >&j 5#T",
+"; s>& #E2 &E2 H#2 H&2 5#E 5&E H5# H5& #E2K EK&2 T#H2 H2T& j#5E 5E&j H#5T H5",
+"s& d;# d&; H;# g;& 5d# >&d H#5d g>& ;#dK dK;& H#T; T;g& 5#dj d&>j H#;j >&gs",
+" #N &N #BN a&N N.# 8&N #BN. aN8& Q# Q& QT# Qa& Qj# Q8& TjQ# sQ& #(N +&N #(N",
+"B a&+N #(N. 8&+N .BN#( +8a&N Q#( +Q& T#Q( Q&+T j#Q( Q&+j QTj#( +Qs& W# W& H",
+"W# H&W W#. W8& W#H. W8H& WQ# W&Q Z# Z& Wj# W&j Zj# sZ& Wd# +W& WdH# gW& d#W",
+". 8dW& HWd#. W8g& Qd# Qd& Zd# gZ& W#dj W&+j djZ# Z&gs m# m& m#B am& 5m# 5&m",
+" m#5B am5& Qm# Q&m Tm# Tm& p# p& pT# sp& m;# +m& ;#mB m&a; m;5# >m& 5m;#B a",
+"m>& Q;# Q;& Q#T; T;Q& p;# p>& T;p# p&s> Wm# W&m Hm# Hm& 5W# 5W& H#5W 5WH& Q",
+"mW# WQm& Zm# Z&m pW# p&W Zp# Zp& v# v& vH# gv& v5# v>& H5v# v&g> vQ# v&Q Zv",
+"# Zv& pv# pv& Z#pv y& C !C D Da C. 8C D. D8 CK CK! DT DTa jC 8jC Dj sD C( +",
+"C D( +D C(. +8C D(. +D8 CK( +CK DT( +DT jC( +jC Dj( s+D CE !CE HD HDa CE. 8",
+"CE HD. H8D EKC !CEK HDT DTHa jCE jC8E HjD sHD dC +dC Dd gD dC. 8dC Dd. gD8 ",
+"dKC dK+C DdT gDT djC +Cdj Ddj gsD C2 !C2 D2 Da2 5C 58C 5D 5D8 2KC !C2K DT2 ",
+"T2Da 5jC 8j5C 5DT s5D ;C +;C D; +D; 5;C >C 5D; >D ;CK ;C+K D;T D;+T ;jC >jC",
+" D;j s>D CE2 CE!2 HD2 H2Da 5CE 8C5E H5D 5DH8 CE2K !E2CK H2DT HDTa2 jC5E 58j",
+"CE 5DHj H5sD d;C d;+C H;D gD; 5dC >Cd 5Dd g>D ;CdK +d;CK TdD; D;gT 5Cdj dj>",
+"C Dd5T >Dgs CN !CN DN DaN N.C 8CN DN. D8N QC Q!C QD QDa QjC Q8C QDj sQD C(N",
+" +CN D(N +DN C(N. 8C+N N.D( +ND8 QC( +QC QD( +QD jCQ( +CQ8 Q(Dj +QsD WC W!C",
+" WD WDa WC. W8C WD. WD8 WQC WCQ! ZD ZDa WjC WCQ8 ZDj sZD WdC +WC WDd gWD dC",
+"W. +CW8 W.Dd WDg8 QdC +CQd ZDd gZD WCdj +CWj DdZj gDsZ mC mC! Dm Dma 5mC 8m",
+"C 5Dm D8m QmC mCQ! QDm DmQa pC p8C pD spD m;C +mC Dm; +Dm m;5C >mC 5mD; >Dm",
+" Q;C +CQ; QD; QD+m p;C p>C pD; p>D WmC mCW! HmD DmWa 5WC 5CW8 5WD WD5a QmWC",
+" Q!WmC ZDm DmZa pWC W8pC ZpD pDsZ vC v+C vD gvD v5C v>C vD5 v>D vQC +QvC Zv",
+"D vDgZ pvC >Cpv pvD yD b b& bD c b. b8 bD. c8 bK bK& bT cT bj b8j bTj sc b(",
+" b+ bD( c+ b(. b+8 D(b. c+8 bK( b+K bT( c+T bj( b+j b(Dj sc+ bE b&E bH cH b",
+"E. b8E bH. cH8 bKE &EbK bHT cHT bjE bE&j bHj scH bd b+d bHd gc bd. b8d b.Dd",
+" gc8 bdK bKd& bTd gcT bdj +jbd Hjbd gsc b2 b&2 bD2 c2 b5 b58 b5D c5 bK2 &2b",
+"K bT2 c2T b5j 5&bj b5T sc5 b; b+; b;D c; b5; >b 5Db; c> b;K bK;& bT; c;T b;",
+"j >bj 5Tb; c>s bE2 &Eb2 bH2 c2H b5E bE5& bH5 c5H EKb2 bK&E2 HTb2 HTc2 5jbE ",
+"&jEb5 H5bT sHc5 bd; d&b; bH; gc; b5d >bd H5bd c>g dKb; d&;bK H;bT gTc; 5dbj",
+" bd>j H;bj gsc> bN b&N bDN cN bN. b8N DNb. c8N bQ bQ& bQD cQ bQj bQ8 QDbj s",
+"cQ b(N b+N D(bN c+N N.b( +8bN bD(N. +8cN bQ( b+Q b(QD cQ+ Qjb( +Qb8 bQDj( s",
+"+cQ bW bW& bHW cW bW. bW8 b.WD cW8 bWQ W&bQ Zb Zc bWj W8bQ Zbj Zcs bWd b+W ",
+"WDbd gcW Wdb. +Wb8 bHWd. g8cW bQd +WbQ Zbd Zcg Wjbd +Wbj bdZj gsZc bm bm& b",
+"mD cm b5m b8m 5Dbm c5m bQm Q&bm bTm cQm pb pb8 pbD cp bm; b+m Dmb; cm+ 5mb;",
+" >bm b5Dm; c>m bQ; +Qbm QDb; cQ; pb; p>b bTp; cp> bWm W&bm bHm cWm b5W 5Wb8",
+" H5bW c5W WQbm bWQm& Zbm Zcm pbW bWp& Zpb cpZ vb vb+ vbH cv vb5 v>b bHv5 cv",
+"> vbQ b+vQ Zvb cvZ pvb v>pb pvZb yc 0 !0 0B a0 1 18 1B 1a 0K !K0 T0 Ta0 1j ",
+"18j 1T s1 0( +0 0B( +a0 1( 1+ 1(B 1+a 0(K +0K T0( +T0 1j( 1+j 1T( s1+ E0 !E",
+"0 H0 Ha0 1E 18E 1H 1H8 EK0 !0EK HT0 TaH0 1jE 8j1E 1HT s1H d0 +d0 Hd0 g0 1d ",
+"1+d 1Hd g1 dK0 dK+0 Td0 gT0 1dj +j1d 1Td gs1 02 !02 2B0 a02 15 158 15B 1a5 ",
+"2K0 !02K T02 T2a0 15j 581j 1T5 s15 ;0 +;0 ;0B a;0 1; >1 1;B >1a ;0K ;0+K T;",
+"0 +0T; 1;j >j1 1T; s>1 E02 E0!2 H02 a0H2 15E 581E 1H5 H51a E02K !E20K T0H2 ",
+"HTa02 5j1E 158jE H51T 1Hs5 d;0 d;+0 H;0 g;0 1d5 >1d 1H; g>1 ;0dK +d;0K H0T;",
+" T;g0 dj1; 1d>j H;1T s>g1 0N !0N 0BN a0N 1N 18N 1NB 1aN Q0 Q!0 QT0 Qa0 1Q 1",
+"Q8 1QT s1Q 0(N +0N 0(NB a0+N 1(N 1+N (B1N +a1N Q0( +Q0 T0Q( +0Qa 1Q( 1+Q QT",
+"1( 1+sQ W0 W!0 HW0 Wa0 1W 1W8 1HW 1Wa WQ0 W0Q! Z0 Za0 1WQ W81Q Z1 sZ1 Wd0 +",
+"W0 WdH0 gW0 1Wd 1+W HW1d g1W Qd0 +0Qd Zd0 gZ0 1Qd +W1Q Z1d gZ1 m0 m0! m0B a",
+"m0 1m 1m8 1mB 1am Qm0 m0Q! Tm0 Q0am p1 p18 p1T sp1 m;0 +m0 ;0mB +0am 1m; >m",
+"1 m;1B 1a>m Q;0 +0Q; Q0T; +0Tm p1; p>1 1Tp; s1p> Wm0 m0W! Hm0 H0am 1W5 W81m",
+" 1Hm H81m QmW0 Q!Wm0 Zm0 amZ0 p1W 1Wp8 Zp1 Z1sp v0 v+0 vH0 gv0 v1 v>1 v1H g",
+"v1 vQ0 +Qv0 Zv0 g0Zv pv1 v1p> Zv1 y1 9 9& 9B 9a 91 : 91B :a 9K 9&K 9T 9Ta 9",
+"j :j 9T1 s: 9( 9+ 9(B 9+a 91( :+ 1B9( :+a 9(K 9+K 9T( 9+T 9j( :+j 9(1T s:+ ",
+"9E 9&E 9H 9Ha 91E :E 9H1 :H 9EK &E9K 9HT H&9T 9jE :jE 9Hj s:H 9d 9+d 9Hd g9",
+" 9d1 :d 1H9d g: 9dK 9Kd& 9Td g9T 9dj :dj 1T9d g:s 92 9&2 92B 9a2 95 :5 95B ",
+":5a 92K &29K 9T2 92T& 95j :5j 95T s:5 9; 9+; 9;B 9a; 95; :> 1B9; :>a 9;K 9K",
+";& 9T; +T9; 9;j :>j 1T9; s:> 9E2 &E92 9H2 92H& 95E :5E 9H5 :H5 EK92 9&E2K H",
+"T92 9HT&2 5j9E 5j:E H59T s5:H 9d; d&9; 9H; g9; 95d :>d 1H9; g:> dK9; d&;9K ",
+"H;9T 9Tg; 5d9j >j:d H;9j s:g> 9N 9&N 9NB 9aN 91N :N 1B9N :aN 9Q 9Q& 9QT 9Qa",
+" 9Q1 :Q 1Q9T s:Q 9(N 9+N (B9N +a9N 1(9N :+N 91(NB +a:N 9Q( 9+Q QT9( +Q9T 9(",
+"1Q :Q+ 9Q1T( s+:Q 9W 9W& 9HW 9Wa 9W1 :W 1H9W :HW 9WQ W&9Q Z9 Z9a 9Wj :WQ Z9",
+"1 Z: 9Wd 9+W HW9d g9W 1W9d :W+ 9H1Wd g:W 9Qd +W9Q Z9d gZ9 1Q9d :Qd 9dZ1 Z:g",
+" 9m 9m& 9mB 9am 95m :m 1B9m :ma 9Qm Q&9m 9Tm Qa9m p9 :p p9T :ps 9m; 9+m m;9",
+"B +m9a 1m9; :>m 95;mB :a>m 9Q; +Q9m Q;9T +T9m p9; :p> 9Tp; s>:p 9Wm W&9m 9H",
+"m Hm9a 95W :W5 1H9m :Hm WQ9m 9WQm& Z9m 9aZm p9W :pW Zp9 Z:p v9 v9+ v9H gv9 ",
+"v91 :v 9Hv1 :vg v9Q 9+vQ Zv9 Zvg9 pv9 :vp pvZ9 y: C0 !C0 D0 Da0 1C 18C 1D 1",
+"D8 CK0 !0CK DT0 TaD0 1jC 8j1C 1DT s1D C0( +C0 D0( +D0 1C( 1+C 1D( 1+D 0(CK ",
+"CK+0 T0D( DT+0 jC1( 1C+j 1(Dj 1+sD CE0 CE!0 HD0 DaH0 1CE 8C1E 1HD H81D C0EK",
+" !E0CK DTH0 HDTa0 jC1E 18jCE Hj1D 1HsD dC0 dC+0 Dd0 gD0 1dC 1C8d 1Dd g1D CK",
+"d0 +dC0K D0Td DTg0 1Cdj djC1+ Dd1T s1gD C02 C0!2 D02 D2a0 15C 581C 1D5 5D1a",
+" C02K C02!K T2D0 DTa02 5j1C 158jC 5D1T 1Ds5 ;C0 ;C+0 D;0 +0D; 1;C >C1 1D; >",
+"D1 CK;0 +;C0K D0T; a;0DT 1C;j 1j>C D;1T s1>D E0C2 C02!E D0H2 HDa02 5C1E 158",
+"CE H51D 1H5D8 C02EK EK0!C2 HDT02 DTaH02 15jCE 58j1CE 1H5Dj s1H5D ;Cd0 +d;C0",
+" H0D; D;g0 1C5d 1d>C H;1D >Dg1 dK;C0 dK;+C0 H;DT0 gDT;0 djC1; >j1dC 1H;Dj g",
+"s>1D C0N C0!N D0N a0DN 1CN 8C1N 1DN 1ND8 QC0 !CQ0 QD0 DaQ0 1QC 1CQ8 1QD 1Qs",
+"D 0(CN C0+N 0(DN D0+N C(1N +C1N D(1N 1N+D C0Q( QC+0 D0Q( +0QD QC1( 1C+Q 1(Q",
+"D +Q1D WC0 !CW0 WD0 DaW0 1WC 1CW8 1WD WD1a QCW0 Q!WC0 ZD0 DaZ0 1CWj 1WQ8C Z",
+"1D sDZ1 dCW0 WC+0 W0Dd WDg0 Wd1C 1C+W WD1d 1WgD dCQ0 +WQC0 DdZ0 ZDg0 1CQd 1",
+"+WQC 1DZd gDZ1 mC0 !Cm0 Dm0 D0am 1mC 1C8m 1Dm D81m mCQ0 Q!mC0 Q0Dm am0QD p1",
+"C 18pC pD1 s1pD ;Cm0 mC+0 m;D0 +0Dm m;1C 1m>C Dm1; 1D>m ;CQ0 +QmC0 Q0D; +QD",
+"m0 1;pC p1>C 1Dp; p1>D mCW0 W!mC0 H0Dm am0WD 1C5W 1W58C Hm1D 1HmD8 WQmC0 Wm",
+"CQ!0 DmZ0 ZDam0 1WpC p1W8C pDZ1 Zp1sD vC0 +Cv0 vD0 g0vD v1C >Cv1 v1D vDg1 Q",
+"Cv0 v+QC0 Z0vD ZvDg0 pCv1 pv>1C v1pD y1D b9 b9& 9D c9 b1 :b b1D :c b9K 9&bK",
+" bT9 c9T b1j :bj b1T s:c b9( b+9 9D( c9+ b1( :b+ b(1D :c+ 9(bK bK9+ b(9T 9+",
+"cT b(9j b+:j b(1T s+:c b9E 9&bE bH9 c9H b1E :bE b1H :cH 9EbK b9&EK 9HbT 9Hc",
+"T bE9j bj:E 9Hbj :Hsc bd9 9+bd 9Dd gc9 b1d :db 1Hbd g:c bK9d d&Kb9 9Tbd c9g",
+"T 9dbj bd:j 1Tbd s:gc b92 9&b2 9D2 c29 b15 :b5 95D :c5 92bK b9&2K b29T 9Tc2",
+" 95bj b5:j 95bT c5s: b;9 9+b; 9D; c;9 b1; :>b 1Db; c>: bK9; ;&Kb9 9Tb; 9Tc;",
+" 9;bj :b>j 1Tb; s:c> 9Eb2 b9&E2 b29H 9Hc2 bE95 b5:E 9Hb5 c5:H b9E2K 9&EbK2 ",
+"bH9T2 c29HT b15jE :b5jE b1H5T :cHs5 9db; d&;b9 9Hb; c;g9 95bd >b:d 1Hb; c>g",
+": bd9;K bd9;&K bH;9T c;9gT b1d;j :>bdj b1HT; g:sc> b9N 9&bN 9DN c9N b1N :bN",
+" bN1D :cN bQ9 b9Q& 9QD cQ9 b1Q :Qb 1QbT :cQ 9(bN bN9+ D(9N 9+cN 1(bN b+:N b",
+"1D(N cN:+ b(9Q 9+bQ 9(QD 9+cQ b(1Q b+:Q b1QD( :+cQ bW9 b9W& 9WD cW9 b1W :Wb",
+" 1HbW :cW 9WbQ bW9Q& Zb9 Zc9 9Wbj bW:Q Zb1 Z:c 9Wbd 9+bW WD9d cWg9 1Wbd b+:",
+"W b1HWd :Wgc 9Qbd b+W9Q bdZ9 g9Zc 1Qbd bQ:d b1Zd Zcg: bm9 b9m& 9Dm cm9 b1m ",
+":mb 1Dbm :cm 9Qbm bQ9m& 9Tbm 9Qcm pb9 :pb p9D cp: 9mb; 9+bm Dm9; 9+cm 1mb; ",
+">b:m b1mD; :mc> 9Qb; b+Q9m QD9; 9Qc; b1p; pb:> 9Dp; c>:p 9Wbm bW9m& 9Hbm 9H",
+"cm 95bW b5:W 1Hbm c5:W bW9Qm 9WQbm& bmZ9 cmZ9 b1pW pb:W pbZ9 cpZ: vb9 b+v9 ",
+"v9D cv9 vb1 :vb b1vD :vc bQv9 vb9+Q vbZ9 Z9cv vbp9 pb:v vbZ1 y:c L !L LB aL",
+" L. 8L .BL 8aL M M! TM aM Mj 8M TMj sM (L +L (BL +aL (L. +8L (L.B 8a+L M( +",
+"M TM( +TM Mj( +M8 MjT( s+M EL !EL HL HaL EL. 8EL HL. H8L ME ME! HM HMa MjE ",
+"8ME HMj sHM dL +dL HdL gL dL. 8dL dLH. g8L dM +Md HMd gM dMj 8dM dMHj gsM L",
+"2 !L2 2BL aL2 5L 58L 5BL 5aL M2 M2! TM2 aM2 5M 5M8 5TM s5M ;L +;L ;LB a;L 5",
+";L >L ;L5B >La M; +M; T;M aM; 5M; >M T;5M >Ms EL2 EL!2 HL2 aLH2 5EL 8E5L H5",
+"L HL5a ME2 !EM2 HM2 H2aM 5ME 5E8M H5M H5sM d;L d;+L H;L g;L 5dL >Ld HL5d g>",
+"L dM; +dM; HM; gM; 5dM >Md 5dHM >Mg LN !LN NBL aLN N.L 8LN LBN. aN8L QM Q!M",
+" QTM QaM QMj Q8M TMQj sQM (LN +LN (LNB aL+N (LN. 8L+N (BLN. +8aLN QM( +QM T",
+"MQ( Qa+M MjQ( Q8+M QTMj( +QsM WL W!L HWL WaL WL. W8L WLH. HLW8 WM WM! ZM Za",
+"M WMj W8M ZMj sZM WdL +WL WdHL gWL dLW. +LW8 HWdL. W8gL WMd +WM ZdM gZM dMW",
+"j W8+M dMZj sZgM mL mL! mLB amL 5mL 8mL mL5B 5Lam Mm Mm! TmM aMm pM p8M pTM",
+" spM m;L +mL ;LmB +Lam m;5L >mL 5m;LB am>L Q;M +Mm MmT; Tm+M pM; >Mp T;pM s",
+"p>M WmL mLW! HmL HLam 5WL 5LW8 HL5W HL8m WMm W!Mm ZMm aMZm pWM W8pM ZpM sMZ",
+"p vL v+L vHL gvL v5L v>L H5vL >Lgv vM vM+ ZvM gvM pvM >Mv vMZp yM #L &L #BL",
+" a&L #L. 8&L #L.B a&8L M# M& TM# T&M Mj# 8M& MjT# sM& #(L +&L #(LB a&+L (L#",
+". 8&+L #L.(B +8a&L M#( +M& M#T( T&+M j#M( M&+j TMj#( +Ms& #EL &EL H#L H&L E",
+"L#. &E8L #LH. 8&HL M#E M&E HM# HM& j#ME 8EM& MjH# HMs& d#L d&L d#HL g&L #Ld",
+". 8Ld& Hd#L. 8&gL dM# dM& H#dM gM& Mjd# d&8M dMjH# sMg& #L2 &L2 #L2B &2aL 5",
+"#L 5&L #B5L a&5L M#2 M&2 M#T2 T2M& 5M# 5M& TM5# 5Ms& ;#L ;&L #B;L aL;& ;#5L",
+" >&L 5;#LB a&>L M;# M;& T#M; M;T& 5#M; >M& M;#5T sM>& EL#2 EL&2 #LH2 &LH2 #",
+"E5L &E5L 5#HL HL5& #EM2 &EM2 M#H2 H2M& M#5E 5EM& H#5M 5MH& ;#dL dL;& ;#HL ;",
+"&gL d#5L d&>L H5d#L g&>L d#M; M;d& H#M; M;g& 5#dM dM>& H5Md# >&gM #LN &LN #",
+"LNB &LaN #LN. &L8N #LN.B 8a&LN QM# Q&M TMQ# aMQ& MjQ# 8MQ& QTMj# Q&sM (L#N ",
+"&L+N #LN(B +a&LN #LN(. +8&LN N.#(BL 8a&+LN M#Q( Q&+M QTM#( +QTM& QMj#( +Q8M",
+"& TMjQ#( s+QM& W#L W&L W#HL HLW& #LW. 8&WL HW#L. H8W&L WM# WM& ZM# Z&M MjW#",
+" 8MW& MjZ# sMZ& d#WL +LW& HWd#L W&gL Wd#L. d&LW8 Wd#HL. gW8&L W#dM W&+M dMZ",
+"# Z&gM dMjW# dM&W8 ZdMj# Z&Mgs m#L m&L #BmL aLm& m#5L 5Lm& 5m#LB am&5L Mm# ",
+"Mm& T#Mm MmT& pM# p&M TMp# sMp& ;#mL +Lm& m;#LB am&+L 5m;#L m&>L m;#5BL >ma",
+"&L Q#M; M;Q& Mm#T; aMm;& M;p# p&>M pTM;# >Mps& m#WL WLm& m#HL HLm& W#5L 5LW",
+"& H5W#L H5&WL W#Mm MmW& MmZ# MmZ& WMp# WMp& pMZ# ZMp& v#L v&L H#vL gLv& 5#v",
+"L >Lv& vH5#L gv>&L vM# vM& Z#vM vMZ& p#vM vMp& ZpvM# y&M U U! UD Ua U. U8 U",
+"D. U8D UM U!M V Va Uj U8M Vj Vs U( U+ UD( U+D U(. U+8 D(U. +DU8 UM( U+M V( ",
+"V+ Uj( U+j Vj( Vs+ UE U!E UH UHa UE. U8E UH. UH8 UME MEU! VH VHa UjE UE8M V",
+"Hj VsH Ud U+d UHd gU Ud. U8d U.Dd gU8 UdM +MUd Vd gV Udj +jUd Vdj gVs U2 U!",
+"2 UD2 Ua2 U5 U58 U5D U5a UM2 M2U! V2 V2a U5M 5MU8 V5 Vs5 U; U+; U;D Ua; U5;",
+" >U 5DU; >UD U;M +MU; V; V+; U;j >MU V5; V> UE2 !EU2 UH2 HaU2 U5E 58UE UH5 ",
+"H5U8 MEU2 U!ME2 V2H HaV2 UE5M U58ME V5H sHV5 Ud; +dU; UH; gU; U5d >Ud H5Ud ",
+"g>U dMU; dM;U+ Vd; gV; 5dUj Ud>M V5d V>g UN U!N UDN UaN UN. U8N DNU. UND8 U",
+"Q UQ! VQ VQa UQj UQ8 VQj VsQ U(N U+N D(UN UN+D N.U( +8UN UD(N. U+D8N UQ( U+",
+"Q VQ( V+Q QjU( +QU8 QjV( sQV+ UW UW! UHW UWa UW. UW8 U.WD H8UW UWQ Q!UW VZ ",
+"VZa UWj W8UQ VZj sZV UWd U+W WDUd gUW WdU. +WU8 UHWd. UWg8 UQd +WUQ VZd gVZ",
+" WjUd +WUj ZjVd sZgV Um Um! UmD Uam U5m U8m 5DUm 5aUm UQm Q!Um Vm Vma pU pU",
+"8 Vp Vps Um; U+m DmU; +DUm 5mU; >Um U5Dm; Ua>m UQ; +QUm Vm; V+m pU; p>U Vp;",
+" V>p UWm W!Um UHm HmUa U5W 5WU8 H5UW H8Um WMUm Mm!UW VZm ZaVm pUW UWp8 VpZ ",
+"sZVp vU vU+ vUH gvU vU5 v>U UHv5 v>gU vUQ U+vM Vv Vvg pvU v>pU Vvp yV bU U&",
+" bUD cU bU. b8U UDb. cU8 bM bM& Vb Vc bMj b8M Vbj scV bU( b+U UDb( cU+ U(b.",
+" U+b8 bUD(. U+c8 bM( b+M Vb( Vc+ b(Uj U+bj bjV( V+sc bUE U&E bHU cUH UEb. b",
+"EU8 b.UH UHc8 bME bEM& VbH VcH bEUj bE8M bHVj sHVc bdU Ud& UHbd gcU b.Ud U8",
+"bd bHUd. cUg8 bdM +Mbd Vdb gVc Udbj 8dbM bdVj scgV bU2 U&2 UDb2 c2U b5U U5&",
+" bU5D c5U bM2 b2M& V2b Vc2 b5M 5Mb8 V5b c5V b;U U;& bUD; c;U U5b; >bU b5UD;",
+" c>U bM; +Mb; V;b c;V U;bj >Mb b5V; V>c UEb2 &EU2 b2UH UHc2 bEU5 UE5& UHb5 ",
+"UHc5 MEb2 M&Eb2 bHV2 cHV2 bE5M b5M8E bHV5 cHV5 Udb; d&U; UHb; c;gU U5bd bd>",
+"U bH5Ud gUc> dMb; dM&b; bHV; c;gV 5dbM bd>M b5Vd c>gV bUN U&N UDbN cUN UNb.",
+" bNU8 bUDN. U8cN bQU UQ& VbQ cQV UQbj UQb8 bQVj VscQ U(bN bNU+ bUD(N U+cN b",
+"U(N. b+U8N UD(bN. cU+8N b(UQ U+bQ bQV( V+cQ bQUj( b+QU8 VbQj( cQVs+ bWU UW&",
+" UHbW cWU b.UW UWb8 bHUW. UWc8 bWM WMU& ZbV ZcV UWbj W8bM VbZj VZsc UWbd U+",
+"bW bHUWd cWgU bWUd. b+WU8 UHWbd. cWUg8 UQbd +WbM VdZb ZcgV bWMdj d&jUW ZbVd",
+"j gVZsc bmU Um& bUDm cmU U5bm U8bm b5UDm U5cm bMm Q&Um Vmb cmV pbU pU& Vpb ",
+"cpV Umb; U+bm bmUD; U+cm b5Um; bm>U U5Dbm; >Ucm UQb; +Mbm bQV; V+cm bMp; pb",
+">M V;pb V>cp UWbm W&Um UHbm UHcm U5bW 5WU& bH5UW U5cW WMbm Mm&bW VmZb VZcm ",
+"bWpU UWp& ZbVp VpZc vbU vU& bHvU cvU b5vU >bvU vbUH5 vUc> vbM b+vM Vvb cvV ",
+"vbpU vb>M pbVv yVc k k! kB ak 1k 8k 1kB 1ak kM kM! Tk Tka l l8 lT ls k( +k ",
+"k(B +ka 1k( 1+k k(1B +k1a kM( +kM Tk( +Tk l( l+ lT( ls+ kE kE! Hk Hka 1kE 8",
+"kE 1Hk H8k kME M!kE HkT akHM lE l8E lH lsH dk +kd Hkd gk 1dk 8dk Hk1d g1k d",
+"kM dk+M Tdk gkT ld l+d lHd gl k2 k2! k2B ak2 5k 5k8 5kB 5ak kM2 M!k2 Tk2 T2",
+"ak l5 l58 l5T ls5 k; +k; k;B ak; 1;k >k 1Bk; >ka k;M k;+M Tk; T;+k l; l> l;",
+"T l>s kE2 !Ek2 Hk2 H2ak 5kE 5E8k H5k 5aHk MEk2 kME!2 H2Tk ak2HM l5E 58lE lH",
+"5 sHl5 dk; +dk; Hk; gk; 5dk >kd Hk1; >kg k;dM dkM+; TkH; Tkg; ld5 l>d lH; g",
+"l> kN kN! kNB akN 1kN 8kN kN1B 1Nak Qk Qk! QkT Qak lQ lQ8 lQT lsQ k(N +kN (",
+"BkN +Nak k(1N 1N+k 1k(NB akN1+ Qk( +Qk Q(Tk Qa+k lQ( l+Q QTl( s+lQ Wk Wk! H",
+"kW Wak 1Wk W8k Hk1W W8Hk WkQ Q!Wk Zk Zka lW lW8 lZ lZs Wkd +Wk HWdk gkW Wk1",
+"d +k1W 1HWdk 1Wgk Qdk Wk+Q Zkd gZk lWd l+W lZd glZ km km! kmB akm 1mk 8km 1",
+"Bkm ak1m Qkm Q!km Tkm akTm lp lp8 lpT lsp km; +km m;kB ak+m km1; >km km;1B ",
+"ak>m Qk; Qk+m TkQ; Tk+m l;p l>p pTl; spl> Wkm W!km Hkm akHm 5Wk W85k Hk1m W",
+"a5k kmWM km!WM Zkm akZm lWp pWl8 lZp splZ vk vk+ vkH gvk v1k >kv 1Hvk gv>k ",
+"vkQ +Qvk Zvk Zvgk lv lv> lvZ yl 9k k& 9kB 9ak 91k :k 1B9k :ak 9M 9M& 9Tk 9a",
+"M l9 l: l9T ls: 9k( 9+k k(9B +k9a 1k9( :+k 91k(B +k:a 9M( 9+M 9(Tk +T9M l9(",
+" l:+ 9Tl( s:l+ 9kE k&E 9Hk Hk& 1k9E :kE 91Hk :Hk 9ME 9EM& 9HM HM9a l9E l:E ",
+"lH9 l:H 9dk dk& Hk9d g9k 91dk :dk 9H1dk g:k 9dM +M9d HM9d g9M ld9 l:d 9Hld ",
+"gl: 9k2 k&2 k29B 92ak 95k :5k 9B5k 5a:k 9M2 92M& 92Tk 92aM l95 l:5 95lT l5s",
+": 9;k k;& 9Bk; ak9; 5k9; >k: k;B95 :a>k 9M; +M9; Tk9; aM9; l;9 l>: 9Tl; s:l",
+"> kE92 &Ek2 92Hk H2k& 9E5k 5k:E Hk95 H5:k ME92 k&EM2 92HM 9HM&2 95lE :5lE 9",
+"Hl5 l5:H dk9; k;d& Hk9; 9;gk 5k9d :d>k 9H5dk >kg: dM9; dk&M; HM9; 9Mg; 95ld",
+" :>ld 9Hl; g:l> 9kN k&N kN9B 9Nak 1k9N :kN 91kNB ak:N 9Qk Qk& Qk9T Qa9M l9Q",
+" l:Q 9QlT :Qls k(9N 9N+k 9k(NB akN9+ 91k(N +k:N 1k(9NB :+akN 9(Qk +Q9M 9QTk",
+"( 9+QTk 9Ql( :Ql+ l9QT( :Q+ls 9Wk Wk& Hk9W Wk9a 91Wk :Wk 9H1Wk Hk:W 9WM W&9",
+"M Z9k Zk& lW9 l:W lZ9 Z:l Wk9d +k9W 9HWdk 9Wgk 9W1dk +W:k 1HW9dk :Wgk WM9d ",
+"+W9M 9dZk Z9gk 9Wld :Wl+ Z9ld Z:gl 9mk km& 9Bkm ak9m 5k9m :mk kmB95 ak:m 9M",
+"m kmQ& Tk9m aM9m p9l :pl lTp9 ls:p km9; +k9m km;9B akm9+ km;95 :m>k 95;kmB ",
+":>akm Qk9; +M9m 9Q;Tk ak;9Q p9l; :pl> l;p9T l>ps: Wk9m kmW& Hk9m kmH& 5k9W ",
+"5W:k 9H5Wk Hk:m WM9m km&WM 9MZm kmZ& p9lW lW:p p9lZ lZ:p v9k vk& 9Hvk v9gk ",
+"95vk :vk v91Hk gk:v v9M 9+vM v9Zk v9gM lv9 lv: Z9lv yl: Uk U!k Dk Uak 1U 1U",
+"8 1UD 1Ua UkM kMU! Vk Vak lU lU8 Vl lsV Uk( U+k Dk( +Dk 1U( 1U+ 1(Dk U+1D k",
+"MU( Uk+M Vk( V+k lU( l+U Vl( l+V UkE kEU! UHk HkUa 1UE 1EU8 1UH UH1a kMUE U",
+"!kME VHk HkVa lUE U8lE lHV VslH Udk +kUd Ddk gUk 1Ud U+1d UH1d g1U UkdM dkM",
+"U+ Vdk gVk ldU U+ld ldV glV Uk2 k2U! Dk2 U2ak 1U5 5kU8 5Dk U51a kMU2 U!kM2 ",
+"V2k akV2 lU5 U5l8 Vl5 V5ls U;k +kU; Dk; D;+k 1U; >kU U;1D >kD UkM; k;MU+ V;",
+"k +kV; l;U l>U l;V V>l kEU2 U!kE2 U2Hk ak2UH 1EU5 1U58E U51H 1UH5a UkME2 kM",
+"EU!2 HkV2 V2Hak U5lE lU58E V5lH lsVH5 dkU; dk;U+ HkU; U;gk U51d 1U>d UH1; g",
+"U>k dkMU; U+dk;M HkV; V;gk U5ld >Uld V5ld V>gl UkN kNU! DkN UNak 1UN 1NU8 1",
+"NDk 1NUa UQk U!Qk VQk QaVk lUQ UQl8 VlQ lQVs k(UN UN+k k(DN +NDk U(1N 1NU+ ",
+"1UD(N 1U+DN U(Qk +kUQ QkV( +QVk UQl( U+lQ VQl( lQV+ UWk U!Wk WDk WkUa 1UW U",
+"81W UH1W UW1a WkUQ UWQk! ZkV VaZk lWU UWl8 lZV VlsZ WkUd +kUW DdWk UWgk UW1",
+"d U+1W 1UHWd 1UgW QkUd U+WQk VdZk ZkgV UWld U+lW VZld lZgV Umk U!km Dkm akU",
+"m 1Um U81m Um1D Ua1m QkUm km!UQ Vmk akVm pUl l8pU Vpl lsVp kmU; +kUm kmD; D",
+"k+m Um1; 1U>m 1UmD; Dk>m QkU; U+Qkm QkV; +kVm pUl; pUl> l;Vp Vpl> WkUm km!U",
+"W HkUm akmUH U51W 1UW8m UH1m 1UH8m UWQkm UWQkm! VmZk ZkVam pUlW lWpU8 lZVp ",
+"VplsZ vUk U+vk vDk vUgk v1U vU>k 1UvD v1gU UQvk vU+Qk Vvk gkVv lvU vUl> lvV",
+" ylV t t& tD tc t1 t: t1D t:c tM tM& Vt tcV lt lt: ltV u t( t+ tD( tc+ t1( ",
+"t:+ 1Dt( :ct+ tM( t+M Vt( t+V lt( lt+ l(Vt u+ tE t&E tH tcH t1E t:E tH1 t:H",
+" tME M&tE tHV VctH ltE lEt: ltH uH td t+d tHd gt td1 t:d 1Htd gt: tdM +Mtd ",
+"tdV gtV ltd t:ld tHld ug t2 t&2 tD2 tc2 t5 t:5 t5D tc5 tM2 M&t2 Vt2 V2tc lt",
+"5 t5l: t5V u5 t; t+; t;D tc; t5; t> 1Dt; t>c t;M +Mt; t;V Vtc; lt; t>l Vlt;",
+" u> tE2 &Et2 tH2 c2tH t5E :5tE tH5 :Ht5 MEt2 tM&E2 V2tH tcVH2 lEt5 t:5lE t5",
+"lH uH5 td; d&t; tH; gt; t5d t>d 1Ht; gt> dMt; t+dM; Vdt; t;gV t5ld ldt> tHl",
+"; ug> tN t&N tDN tcN t1N t:N 1DtN tN:c tQ tQ& tQV tcQ ltQ t:Q VltQ uQ t(N t",
+"+N D(tN c+tN 1(tN :+tN t1D(N t:c+N tQ( t+Q VQt( cQt+ l(tQ tQl+ tQVl( u+Q tW",
+" tW& tHW tcW tW1 t:W 1HtW :ctW tWQ WMt& tZ tZc ltW t:lW tZl uZ tWd t+W WDtd",
+" gtW 1Wtd :Wt+ tH1Wd tWg: tQd +WtQ tZd gtZ tWld t+lW ldtZ uZg tm tm& tmD tc",
+"m t5m t:m 1Dtm :ctm tQm Q&tm tmV cQtm tp tp: tpV up tm; t+m Dmt; cmt+ 1mt; ",
+"t>m t5Dm; tmc> tQ; +Qtm Vmt; cQt; tp; tp> t;Vp up> tWm W&tm tHm cWtm t5W :W",
+"t5 1Htm :Htm WMtm tWQm& tZm tmZc tpW tW:p tZp uZp tv tv+ tvH gtv tv1 tv: v1",
+"tH :vgt tvQ vMt+ tZv cvtZ lvt t>lv tZlv yu ) !) )B a) ). 8) .B) 8a) )K !K) ",
+"T) Ta) j) 8j) Tj) s) * +* *B a* *. 8* *B. 8*a *K +*K T* +T* *j +j* T*j s* E",
+") !E) H) Ha) E). 8E) H). H8) EK) !)EK HT) TaH) jE) jE8) Hj) sH) d* +d* H* g",
+"* d*. 8d* H*. g8* dK* dK+* H*T gT* dj* dj8* H*j gs* )2 !)2 2B) a)2 5) 58) 5",
+"B) 5a) 2K) !)2K T)2 T2a) 5j) 8j5) 5T) s5) ;* +;* *B; a;* 5* >* 5*B >*a ;*K ",
+";*+K T;* a;T* 5*j >*j 5T* s>* E)2 E)!2 H)2 a)H2 5E) 8E5) H5) H)5a E)2K !)2E",
+"K T)H2 HTa)2 jE5) 58jE) H)5T H5s) d;* d;+* H;* g;* 5d* >*d H5* g>* ;*dK +d;",
+"*K T;H* T;g* dj5* dj>* 5TH* s*g> )N !)N )BN a)N N.) 8)N )BN. aN8) Q) Q!) QT",
+") Qa) Qj) Q8) TjQ) sQ) *N +*N *BN a*N *N. 8*N .B*N aN8* Q* +Q* Q*T Qa* Q*j ",
+"Q8* QT*j s*Q W) W!) HW) Wa) W). W8) W)H. H)W8 WQ) W)Q! Z) Za) Wj) W)Q8 Zj) ",
+"sZ) W* +W* H*W gW* W*. W8* H.W* W8g* W*Q W*+Q Z* gZ* W*j W*+j Z*j sZ* m) m)",
+"! m)B am) 5m) 8m) m)5B 5)am Qm) m)Q! Tm) Q)am p) p8) pT) sp) m* +m* m*B am*",
+" 5*m >m* 5m*B am>* Q;* Q*+m Tm* T*+m p* p>* p*T sp* Wm) m)W! Hm) H)am 5W) 5",
+")W8 H)5W H)8m QmW) Q!Wm) Zm) amZ) pW) W8p) Zp) s)Zp v* v+* vH* gv* v5* v>* ",
+"H5v* >*gv vQ* +Qv* Zv* Z*gv pv* v>p* Zp* y* , ,& ,B ,a ,. ,8 ,.B ,8a ,K ,&K",
+" ,T ,Ta ,j ,8j ,Tj s, ,* - *B, -a ,*. -8 ,.*B -8a ,*K -K ,T* -T ,j* -j T*,j",
+" s- ,E ,&E ,H ,Ha ,E. ,8E ,H. ,H8 ,EK &E,K ,HT H&,T ,jE ,E&j ,Hj s,H ,d -d ",
+",Hd g- ,d. -8d ,.H* g-8 ,dK -dK ,Td g-T ,dj -jd H*,j s-g ,2 ,&2 ,2B ,a2 ,5 ",
+",58 ,5B ,5a ,2K &2,K ,T2 ,2T& ,5j 5&,j ,5T s,5 ,; -; ,;B -a; ,5; -> *B,5 ->",
+"a ,;K -;K ,T; -T; ,;j ->j 5T,; s-> ,E2 &E,2 ,H2 ,2H& ,5E ,E5& ,H5 H5,8 EK,2",
+" ,&E2K HT,2 ,HT&2 5j,E &jE,5 H5,T ,Hs5 ,d; -d; ,H; g-; ,5d ->d H5,d g-> dK,",
+"; dK-; H;,T g;-T 5d,j -d>j H;,j g>s- ,N ,&N ,NB ,aN ,N. ,8N .B,N 8a,N ,Q ,Q",
+"& ,QT ,Qa ,Qj ,Q8 QT,j s,Q ,*N -N ,N*B -aN *N,. -8N *B,N. 8a-N ,Q* -Q Q*,T ",
+"-QT Q*,j -Q8 ,QT*j s-Q ,W ,W& ,HW ,Wa ,W. ,W8 HW,. H8,W ,WQ W&,Q Z, Z&, ,Wj",
+" W8,Q Z,j sZ, ,Wd -W H*,W g-W ,.W* -W8 ,HWd. g8-W ,Qd -WQ Z*, Z- W*,j -Wj ,",
+"dZj Z-s ,m ,m& ,mB ,am ,5m ,8m 5m,B 5a,m ,Qm Q&,m ,Tm Qa,m p, p&, p,T sp, ,",
+"m; -m *B,m -ma 5*,m ->m m*B,5 -a>m ,Q; -Qm Q;,T -Tm p*, -p ,Tp* -ps ,Wm W&,",
+"m ,Hm Hm,a ,5W 5W,8 H5,W H8,m WQ,m ,WQm& Z,m ,aZm p,W ,Wp& Zp, Zps, v, -v v",
+",H -vg v,5 -v> ,Hv5 g>-v v,Q -vQ Zv, Z-v pv, -pv pvZ, y- C) !C) D) Da) C). ",
+"8C) D). D8) CK) !)CK DT) TaD) jC) jC8) Dj) sD) *C +*C D* +D* *C. 8*C D*. D8",
+"* *CK *C+K D*T D*+T *jC +C*j D*j s*D CE) CE!) HD) DaH) E)C. CE8) D)H. H)D8 ",
+"C)EK CE)!K DTH) HDTa) CEj) 8jCE) H)Dj HDs) d*C d*+C H*D gD* *Cd. d*8C H.D* ",
+"D8g* *CdK +d*CK TdD* D*gT dC*j dj*+C D*Hj gDs* C)2 C)!2 D)2 D2a) 5C) 8C5) 5",
+"D) 5)D8 C)2K !)2CK T2D) DTa)2 jC5) 58jC) 5)Dj 5Ds) ;*C ;*+C D;* a;D* 5*C >*",
+"C 5D* >D* *C;K +;*CK T;D* a;*DT 5C*j *j>C D*5T >Ds* E)C2 CE)!2 D)H2 HDa)2 C",
+"E5) 58CE) H)5D H5D8) CE)2K EKC!)2 HDT)2 DTaH)2 5jCE) 8jC5E) H5DT) sH5D) ;*d",
+"C +d;*C D;H* D;g* d*5C d*>C 5DH* gD>* dK;*C dK;+*C H;DT* gDT;* dj*5C >*djC ",
+"H5*Dj >D*gs C)N C)!N D)N a)DN C)N. C)8N N.D) 8)DN QC) !CQ) QD) DaQ) jCQ) 8C",
+"Q) Q)Dj QDs) *CN *C+N D*N +ND* N.*C *C8N *ND. DN8* Q*C +CQ* QD* Q*+D QC*j Q",
+"C8* DjQ* QDs* WC) !CW) WD) DaW) C)W. 8CW) D)W. W)D8 QCW) Q!WC) ZD) DaZ) jCW",
+") W8QC) DjZ) ZDs) W*C +CW* WD* WDg* *CW. WC8* W.D* D8W* WCQ* +WQ*C Z*D gDZ*",
+" WC*j +Wj*C D*Zj sDZ* mC) !Cm) Dm) D)am mC5) mC8) 5)Dm D)8m mCQ) Q!mC) Q)Dm",
+" am)QD pC) 8Cp) pD) s)pD m*C +Cm* Dm* D*+m 5Cm* m*>C Dm5* Dm>* QCm* m*C+Q D",
+"mQ* am*QD p*C >Cp* pD* pDs* mCW) W!mC) H)Dm am)WD WC5) 5W8C) 5)WD H8mD) WQm",
+"C) WmCQ!) DmZ) ZDam) WCp) pW8C) Z)pD ZpDs) v*C +*vC vD* g*vD 5*vC v*>C 5Dv*",
+" >*vD Q*vC v+Q*C vDZ* ZvDg* v*pC pv>*C pDZ* y*D ,b ,b& ,D c, ,b. ,8b ,D. c8",
+", ,bK bK,& ,DT cT, ,jb b8,j ,Dj sc, b* -b ,D* c- b*. -b8 ,.D* c-8 b*K -bK b",
+"T* c-T b*j -jb D*,j s-c ,bE b&,E ,Hb cH, bE,. ,Eb8 ,.bH ,Hc8 bK,E ,b&EK bH,",
+"T ,HcT ,Ebj &jE,b bH,j cHs, ,db -bd ,Dd gc- ,.bd b8-d ,.Dd g8c- ,Kbd bd-K b",
+"T,d -Tgc bd,j bd-j H*bj gcs- ,b2 b&,2 ,D2 c2, ,5b b5,8 ,5D c5, bK,2 ,b&2K ,",
+"2bT ,Tc2 b5,j ,5b&j b5,T c5s, ,;b -b; ,D; c-; b5* ->b 5D,; c>- ,Kb; b;-K bT",
+",; -Tc; b;,j >b-j 5Tb* c>s- bE,2 ,b&E2 ,2bH ,Hc2 ,Eb5 ,5b8E bH,5 ,Hc5 ,bE2K",
+" bK&,E2 ,HbT2 c2H,T ,5bjE ,5b&jE ,H5bT s,Hc5 bd,; bd-; bH,; c;g- b5,d -d>b ",
+"H5b* g-c> ,db;K -bd;K ,H;bT c-Tg; ,5dbj ->bdj ,H;bj s-gc> ,bN b&,N ,DN c,N ",
+"bN,. ,Nb8 DN,. ,8cN ,Qb ,bQ& ,QD cQ, bQ,j bQ,8 QD,j cQs, b*N -bN ,ND* c-N *",
+"Nb. b8-N ,D*N. -8cN bQ* -Qb QDb* c-Q Q*bj bQ-j ,QD*j cQs- ,Wb ,bW& ,WD cW, ",
+",.bW bW,8 ,.WD ,Wc8 bW,Q ,WbQ& Zb, Zc, bW,j ,W8bQ ,DZj s,Zc bW* -Wb H*bW c-",
+"W b.W* bW-8 ,WDd. c8-W bQ,d bW-Q Zb* Z-c W*bj bW-j b*Zj Zcs- ,mb ,bm& ,Dm c",
+"m, b5,m b8,m 5D,m ,5cm bQ,m ,Qbm& bT,m ,Qcm pb, ,8pb pD, cp, bm* -mb Dm,; c",
+"-m 5*bm >b-m ,5Dm* ->cm bQ,; bQ-m QD,; -Qcm pb* -pb ,Dp* cp- bW,m ,Wbm& bH,",
+"m ,Hcm b5,W ,5Wb8 5W,D ,5cW ,WbQm bWQ,m& ,DZm cmZ, ,Wpb pbW,8 pbZ, Z,cp vb*",
+" -vb vD, cv- ,5vb vb-> ,5vD -vc> ,Qvb vb-Q vbZ* cvZ- vbp* pb-v pbZ* yc- 0) ",
+"!0) )B0 a0) 1) 18) 1)B 1a) 0)K 0)!K T0) a0T) 1j) 8j1) 1T) s1) *0 +*0 *B0 a*",
+"0 1* 1+* 1*B 1a* *0K *0+K T*0 +0T* 1*j +j1* 1T* s*1 E0) E0!) H0) a0H) 1E) 8",
+"E1) 1H) 1)H8 0)EK !E)0K T0H) HTa0) jE1) 18jE) 1)Hj 1Hs) d*0 d*+0 H*0 g*0 1d",
+"* 8d1* 1H* g1* *0dK +d*0K H0T* T*g0 dj1* dj*1+ H*1T s*g1 0)2 0)!2 0)2B 0)a2",
+" 15) 581) 5B1) 1)5a 0)2K 0)2!K 0)T2 Ta0)2 5j1) 158j) 1)5T 15s) ;*0 ;*+0 ;0*",
+"B ;*a0 1;* >*1 *B1; 1a>* *0;K +;*0K ;*T0 a;*T0 ;j1* 1*>j 5T1* s1>* 0)E2 0)2",
+"!E 0)H2 Ha0)2 5E1) 158E) 1)H5 1H58) 0)2EK EK0!)2 HT0)2 Ta0H)2 15jE) 58j1E) ",
+"1H5T) s1H5) ;*d0 +d;*0 ;*H0 ;*g0 5d1* 1d>* H51* >*g1 dK;*0 dK;+*0 H;T*0 gT;",
+"*0 dj*1; >*1dj 1H;T* s*1g> 0)N 0)!N 0)NB 0)aN 1)N 8)1N )B1N a)1N Q0) !0Q) T",
+"0Q) a0Q) 1Q) 1)Q8 QT1) 1Qs) *0N *0+N 0B*N *0aN 1*N 1N8* 1N*B 1Na* Q*0 +0Q* ",
+"Q0T* Q0a* 1Q* +Q1* Q*1T 1Qs* W0) !0W) W0H) a0W) 1W) 1)W8 HW1) 1)Wa Q0W) Q!W",
+"0) Z0) a0Z) 1)Wj 1WQ8) Z1) s)Z1 W*0 +0W* H0W* W*g0 1W* +W1* H*1W 1Wg* W0Q* ",
+"+WQ*0 Z*0 g0Z* W*1Q 1+WQ* Z1* Z1s* m0) !0m) )Bm0 m0a) 1m) 1)8m m)1B 1)am m0",
+"Q) Q!m0) m0T) am0Q) p1) 18p) 1Tp) p1s) m*0 +0m* m0*B a0m* 1m* 1m>* *B1m am1",
+"* Q0m* m*0+Q T0m* am*Q0 p*1 p1>* 1Tp* s1p* m0W) W!m0) m0H) am0H) 1)5W 1W58)",
+" 1)Hm 1Hm8) WQm0) Wm0Q!) m0Z) Zam0) 1Wp) p1W8) p1Z) Zp1s) v*0 +*v0 H*v0 v*g",
+"0 v1* >*v1 1Hv* g*v1 Q*v0 v+Q*0 v*Z0 Zv*g0 v1p* pv>1* p*Z1 y*1 ,9 ,9& ,9B ,",
+"a9 ,1 :, ,1B :a, ,9K 9&,K ,T9 9T,a ,1j :j, ,1T s:, 9* -9 9*B -9a ,1* :- *B,",
+"1 :-a 9*K -9K 9T* -T9 9*j :-j 1T9* s-: ,9E 9&,E ,H9 9H,a ,1E :,E ,1H :H, 9E",
+",K ,9&EK 9H,T ,H9T& ,E9j ,j:E 9H,j :Hs, ,d9 -9d 9H* g-9 ,1d :-d 1H,d g:- ,K",
+"9d 9d-K 9T,d -Tg9 9d,j -j:d 1T,d s-g: ,92 9&,2 92,B ,29a ,15 :5, ,B95 ,5:a ",
+"92,K ,9&2K ,29T ,T9&2 95,j ,5:j 95,T :5s, ,;9 -9; *B9; 9a-; ,1; :-> *B95 :a",
+"-> ,K9; 9;-K 9T,; 9T-; 9;,j -j:> 1T,; :-s> 9E,2 ,9&E2 ,29H ,H9&2 ,E95 ,5:E ",
+"9H,5 ,H:5 ,9E2K 9&E,2K ,H9T2 9HT,a2 ,15jE :5j,E ,1H5T s,H:5 9d,; 9d-; 9H,; ",
+"-9g; 95,d ->:d 1H,; :-g> ,d9;K -9d;K ,H;9T -T9g; ,1d;j :->dj ,1HT; g:s-> ,9",
+"N 9&,N 9N,B ,N9a ,1N :,N 1N,B ,a:N ,Q9 ,9Q& 9Q,T 9Q,a ,1Q :Q, 1Q,T :Qs, 9*N",
+" -9N 9N*B 9a-N ,N1* :-N ,1*NB -a:N 9Q* -Q9 Q*9T 9Q-T 1Q9* :-Q ,1QT* :Qs- ,W",
+"9 ,9W& 9H,W 9W,a ,1W :W, 1H,W ,H:W 9W,Q ,W9Q& Z9, ,aZ9 9W,j ,W:Q Z1, Z:, 9W",
+"* -W9 H*9W -Wg9 1W,d :-W ,1HW* :Wg- 9Q,d 9W-Q Z9* Z-9 1Q,d -W:Q ,1Z* Z:- ,m",
+"9 ,9m& ,B9m 9a,m ,1m :m, ,B1m ,a:m 9Q,m ,Q9m& 9T,m ,Qa9m p9, :p, ,1pT s,:p ",
+"9m* -m9 *B9m 9a-m 1m,; :-m ,1m*B :a-m 9Q,; 9Q-m Tm9* 9T-m p9* -p: 9Tp* :ps-",
+" 9W,m ,W9m& 9H,m ,Hm9a 95,W ,5:W 1H,m ,H:m ,W9Qm 9WQ,m& ,mZ9 Z9a,m ,1pW p,:",
+"W p9Z, Z,:p v9* -v9 ,Hv9 g9-v v1, :v- ,1vH -vg: ,Qv9 v9-Q v9Z* Z9-v v9p* -p",
+":v p9Z* y:- C0) C0!) D0) a0D) 1C) 8C1) 1D) 1)D8 0)CK C0)!K T0D) DTa0) jC1) ",
+"18jC) 1)Dj 1Ds) *C0 *C+0 D*0 +0D* 1*C 1C8* 1D* +D1* CK*0 +*C0K D0T* a*0DT 1",
+"C*j *jC1+ D*1T 1Ds* E0C) C0)!E D0H) HDa0) CE1) 18CE) HD1) 1HD8) C0)EK EK)!C",
+"0 HDT0) DTaH0) 1jCE) 8jC1E) 1HDT) s1HD) *Cd0 +d*C0 H0D* D*g0 d*1C 1+d*C H*1",
+"D 1Dg* dK*C0 dK*+C0 H*DT0 gDT*0 dj*1C 1+d*jC 1H*Dj s*1gD 0)C2 C02!) 0)D2 Da",
+"0)2 5C1) 158C) 1)5D 1D58) C02)K 2K!C0) DT0)2 Ta0D)2 15jC) 58j1C) 1D5T) s15D",
+") *C;0 +;*C0 ;*D0 a;*D0 1C5* 1*>C 5D1* 1D>* ;*C0K ;*C+0K D;T*0 D;Ta*0 ;jC1*",
+" >*1jC 1D;T* >D*s1 C02E) !E)C02 HD0)2 Da0H)2 15CE) 58C1E) 1H5D) H5D1a) EKC0",
+")2 0)C2EK! DT0H)2 0)T2HDa 5jC1E) 5C1)8jE H5D1T) 1H5sD) d;*C0 d;*+C0 H;D*0 g",
+"D;*0 1d5*C >*1dC 1H;D* >D*g1 ;*CdK0 dK+*;C0 D;TH*0 D;Tg*0 1d5*jC dj*>C1 H;j",
+"1D* gs1>D* 0)CN C0N!) 0)DN Da0)N C)1N 18C)N D)1N 1D8)N C0Q) Q!C0) D0Q) QDa0",
+") QC1) 1Q8C) 1)QD s1QD) C0*N +*C0N *0DN a*0DN *C1N 1+*CN 1ND* 1+D*N *CQ0 +Q",
+"*C0 Q0D* +QD*0 1CQ* 1+Q*C QD1* s*1QD C0W) W!C0) D0W) WDa0) WC1) 1W8C) 1)WD ",
+"1WD8) WQC0) WC0Q!) D0Z) ZDa0) 1WQC) W8C1Q) 1DZ) Z1Ds) *CW0 +W*C0 W0D* gWD*0",
+" 1CW* 1+W*C WD1* g1DW* W*QC0 W*C+Q0 D*Z0 Z*Dg0 1W*QC *jC1+W 1DZ* Z1*gD C0m)",
+" mC0!) m0D) am0D) mC1) 1m8C) 1)Dm 1Dm8) QmC0) mC0Q!) QDm0) QD0am) 1Cp) p18C",
+") 1Dp) pD1s) *Cm0 m*C+0 D0m* am*D0 1Cm* >m1*C Dm1* >Dm1* m*CQ0 +QCm*0 QD;*0",
+" am0QD* 1*pC p>1*C 1Dp* p>D1* WmC0) mC0W!) HmD0) WD0am) 1W5C) W8C1m) 1HmD) ",
+"am)1WD QmCW0) QCW0m)! ZDm0) am0ZD) p1WC) 1W8pC) Zp1D) sZ1pD) *Cv0 v+*C0 D*v",
+"0 gvD*0 1*vC v>1*C 1Dv* gv1D* vQ*C0 +Q*vC0 ZvD*0 gvDZ*0 pv1*C v>1p*C Zp*1D ",
+"1Dy* ,b9 b9,& ,D9 c9, ,1b :b, ,1D :c, b9,K ,b9&K 9D,T ,Tc9 b1,j ,j:b b1,T :",
+"cs, b*9 -b9 9D* c-9 b1* :-b 1Db* :c- bK9* b9-K 9Tb* c9-T 9*bj :b-j 1Tb* :cs",
+"- b9,E ,b9&E 9H,D ,Hc9 ,Eb1 ,b:E b1,H cH:, ,b9EK b9&,EK ,H9bT c9H,T ,1bjE :",
+"bj,E ,1HbT s,H:c 9db* bd-9 9Hb* c-g9 b1,d -b:d 1Hb* :cg- ,db9K -b9dK ,Dd9T ",
+"c-9gT ,1dbj :-bdj ,1DTd g:sc- b9,2 ,b9&2 ,29D ,9c2 b1,5 ,5:b 95,D :,c5 ,b92",
+"K b9&,2K ,D9T2 c29,T ,1b5j :b5,j ,1D5T s,5:c 9;b* b;-9 9D,; -9c; b1,; >b:- ",
+"1D,; :-c> ,;b9K -b9;K ,D;9T c-9T; ,1;bj :->bj ,1DT; s-:c> ,b9E2 b9&,E2 ,H9b",
+"2 c29,H ,1b5E :b5,E ,1Hb5 :cH,5 b9E,2K b9,&EK2 bH9,T2 ,H9c2T b15,jE ,5b:jE ",
+"b1H,5T :cHs,5 ,db9; -b9d; ,H;9D c-9g; ,1db5 :->bd ,1Hb; g:c-> bd9,;K bd9-;K",
+" 9H;bT* -T9gc; b1d,;j ->b:dj b1H,T; s-cg:> b9,N ,b9&N ,N9D ,9cN ,Nb1 ,b:N ,",
+"N1D cN:, ,b9Q ,Qb9& 9Q,D ,Qc9 b1,Q ,Q:b 1Q,D :,cQ bN9* b9-N 9ND* -9cN bN1* ",
+"-b:N ,1D*N cN:- 9Qb* bQ-9 QD9* c9-Q 1Qb* :b-Q ,1QD* c-:Q ,b9W ,Wb9& 9W,D ,W",
+"c9 b1,W ,W:b 1W,D :,cW ,Wb9Q bW9,Q& ,DZ9 c9Z, ,1WbQ :Wb,Q ,1Zb :cZ, 9Wb* bW",
+"-9 WD9* c9-W 1Wb* :b-W ,1WDd c-:W ,Qdb9 -Wb9Q b*Z9 c-Z9 ,1Qbd :-WbQ b1Z* :c",
+"Z- ,b9m ,mb9& 9D,m ,mc9 b1,m ,m:b 1D,m :,cm ,Qb9m bQ9,m& ,QD9m cQ9,m ,1pb :",
+"bp, ,1pD p,:c 9mb* bm-9 Dm9* c9-m 1mb* :b-m ,1Dm* c-:m ,Q;b9 -Qb9m ,QD9; c-",
+"Q9m b1p* pb:- 9Dp* :c-p ,Wb9m bW9,m& ,Hm9D cW9,m ,1Wb5 :Wb,5 ,1Hbm :cW,5 bW",
+"9,Qm WQ9m,b& Zb9,m Zc9,m pb9,W :pb,W Zpb,1 cpZ:, b*v9 -bv9 ,Dv9 v9c- ,1vb v",
+"b:- ,1vD :c-v vb9,Q -vb9Q Zvb9* cvZ-9 pvb,1 :v-pb Zpb9* :cy- )L !)L )BL a)L",
+" )L. 8)L )L.B a)8L M) M)! TM) aM) Mj) 8M) MjT) sM) *L +*L *BL a*L *L. 8*L .",
+"B*L 8La* M* +M* T*M aM* M*j 8M* TM*j s*M E)L E)!L H)L a)HL )LE. E)8L )LH. 8",
+")HL ME) !EM) HM) H)aM jEM) ME8) MjH) HMs) d*L d*+L H*L g*L *Ld. d*8L *LH. 8",
+"*gL dM* +dM* HM* gM* M*dj dM8* M*Hj s*gM )L2 )L!2 )L2B )La2 5)L 8)5L )B5L a",
+")5L M)2 !)M2 M)T2 M2a) 5M) 5)8M TM5) 5Ms) ;*L ;*+L ;L*B ;*aL 5*L >*L 5L*B a",
+"*>L M;* +;M* M;T* M;a* 5M* >M* T*5M s*>M )LE2 !)2EL )LH2 Ha)L2 E)5L 58E)L 5",
+")HL H58)L E)M2 ME)!2 M)H2 aM)H2 ME5) 5M8E) H)5M sH5M) ;*dL +d;*L ;*HL ;*gL ",
+"d*5L d*>L HL5* g*>L d;M* dM;+* M;H* M;g* dM5* dM>* 5MH* >*gM )LN )L!N )LNB ",
+")LaN )LN. )L8N .BL)N 8a)LN QM) M)Q! TMQ) Q)aM MjQ) Q)8M QTMj) QMs) *LN *L+N",
+" NB*L *LaN N.*L *L8N *BLN. a*L8N Q*M Q*+M QTM* aMQ* QM*j 8MQ* M*jQT Q*sM W)",
+"L !)WL W)HL a)WL )LW. 8)WL HW)L. H8W)L WM) M)W! ZM) aMZ) MjW) W)8M MjZ) ZMs",
+") W*L +LW* HLW* W*gL *LW. WL8* H*WL. gW8*L WM* W*+M Z*M Z*gM M*Wj 8MW* M*Zj",
+" sMZ* m)L !)mL )BmL m)aL m)5L m)8L 5m)LB am)5L Mm) M!m) T)Mm a)Mm pM) 8Mp) ",
+"TMp) pMs) m*L +Lm* mL*B aLm* 5Lm* m*>L m*L5B >ma*L Mm* M*+m MmT* Mma* p*M p",
+"*>M T*pM sMp* m)WL W!m)L m)HL am)HL W)5L 5W8)L H5W)L H8m)L W)Mm Mm)W! MmZ) ",
+"aMmZ) WMp) pW8M) pMZ) ZpMs) v*L +*vL H*vL v*gL 5*vL v*>L vH5*L gv>*L vM* +M",
+"v* vMZ* g*vM vMp* >*vM ZMp* y*M ,L ,&L ,LB ,aL ,L. ,8L .B,L 8a,L ,M ,M& ,TM",
+" ,aM ,Mj ,8M TM,j s,M ,*L -L ,L*B -aL *L,. -8L *B,L. 8a-L ,M* -M T*,M -TM M",
+"*,j -M8 M*j,T s-M ,EL &E,L ,HL ,LH& EL,. 8E,L HL,. ,LH8 ,ME ,EM& ,HM HM,a M",
+"j,E ,E8M HM,j ,HsM ,dL -dL ,LH* g-L dL,. 8d-L ,HdL. -8gL ,dM -Md HM,d g-M d",
+"M,j 8d-M ,HMdj gMs- ,L2 &L,2 2B,L aL,2 ,5L ,L5& 5B,L ,L5a ,M2 ,2M& TM,2 ,2a",
+"M ,5M 5M,8 5T,M ,5sM ,;L -;L ;L,B a;-L ,L5* ->L ,5;LB -a>L ,M; -M; T;,M T;-",
+"M 5M,; >M- ,5TM; >Ms- EL,2 ,&EL2 HL,2 ,HaL2 5E,L ,58EL ,LH5 ,H58L ME,2 M&E,",
+"2 ,2HM ,HM&2 ,E5M ,5M8E H5,M s,H5M d;,L d;-L ,LH; -;gL ,L5d -d>L ,H5dL >Lg-",
+" dM,; dM-; HM,; g;-M 5d,M -d>M ,H5dM g->M ,LN &L,N NB,L aL,N N.,L 8L,N ,LN.",
+"B ,8aLN ,QM Q&,M QT,M Qa,M QM,j Q8,M ,QTMj ,QsM *L,N -LN *B,LN aL-N ,*LN. 8",
+"L-N ,LN*B. -8aLN Q*,M -QM ,QTM* Qa-M M*j,Q Q8-M ,QTM*j sQ-M ,WL ,LW& HW,L ,",
+"LWa WL,. ,LW8 ,HWL. ,H8WL ,WM W&,M Z,M ,aZM WM,j W8,M ,MZj sMZ, ,LW* -WL ,H",
+"WdL gL-W ,WdL. W8-L H*L,W. -W8gL WM,d -WM ,dZM Z-M ,WMdj W8-M Z*M,j -MsZ ,m",
+"L ,Lm& mL,B ,Lam 5m,L ,L8m ,5mLB ,5amL ,Mm M&,m Tm,M aM,m p,M ,8pM ,TpM sMp",
+", ,Lm* -mL m*L,B am-L m*L,5 >L-m ,5Lm*B ->amL Q;,M -Mm Mm*,T Tm-M ,Mp* -pM ",
+"p*T,M -Msp Wm,L m&L,W ,LHm ,HmaL ,L5W ,5W8L ,H5WL ,H8mL WM,m Mm&,W ,MZm Z&M",
+",m ,WpM p&W,M ZMp, Zp&,M v,L -vL ,HvL gL-v ,5vL >L-v v,H5L -vg>L vM, -vM vM",
+"Z, gM-v vMp, >M-v Zp*,M y-M U) U!) UD) Ua) U). U8) D)U. U)D8 UM) M)U! V) Va",
+") Uj) U)8M Vj) Vs) U* U+* U*D Ua* U*. U8* U.D* D8U* U*M +MU* V* V+* U*j +jU",
+"* V*j s*V UE) !EU) UH) HaU) E)U. 8EU) H)U. U)H8 MEU) U!ME) VH) HaV) jEU) U8",
+"ME) HjV) VHs) Ud* +dU* UH* gU* d*U. 8dU* U.H* U8g* dMU* dM*U+ Vd* gV* djU* ",
+"U+jd* H*Vj s*gV U)2 !)U2 D)U2 a)U2 U5) 58U) U)5D U)5a M)U2 U!M)2 V2) a)V2 U",
+")5M U58M) V5) s)V5 U;* +;U* D;U* a;U* U5* >U* 5DU* Ua>* M;U* M;*U+ V;* a;V*",
+" 5MU* U*>M V5* V>* E)U2 U!E)2 H)U2 UHa)2 5EU) U58E) U)H5 UH58) UME)2 ME)U!2",
+" H)V2 V2Ha) U5ME) 5MEU8) H5V) VsH5) d;U* U+d;* H;U* U;g* 5dU* Ud>* H5U* >*g",
+"U dM;U* U+dM;* H;V* g;V* U5dM* >MUd* H5V* V*g> U)N !)UN D)UN a)UN N.U) 8)UN",
+" UD)N. U8D)N UQ) U)Q! VQ) QaV) QjU) U)Q8 QjV) VQs) U*N +*UN UND* UNa* *NU. ",
+"UN8* U*DN. U8*DN UQ* +QU* V*Q +QV* Q*Uj Q8U* Q*Vj sQV* UW) W!U) U)WD U)Wa W",
+")U. U)W8 UHW). UH8W) U)WM UWQ!) VZ) VaZ) U)Wj UW8Q) VjZ) s)VZ UW* +WU* H*UW",
+" UWg* U.W* W8U* UH*W. gUW8* WMU* U+WQ* Z*V Z*gV W*Uj U+W*j ZjV* VZs* Um) m)",
+"U! U)Dm U)am 5mU) U)8m U5Dm) U5am) U)Mm Mm)U! Vm) amV) pU) U8p) Vp) s)Vp Um",
+"* +mU* DmU* amU* 5*Um Um>* U5*Dm >DmU* Q;U* Mm*U+ Vm* +mV* pU* >Up* Vp* s*V",
+"p WmU) UWm!) U)Hm UHma) U)5W U5W8) UH5W) UH8m) Mm)UW UW)Mm! Z)Vm VZam) UWp)",
+" pUW8) Z)Vp VpZs) vU* U+v* UHv* g*vU U5v* >*vU vUH5* gvU>* UQv* vU+Q* Vv* V",
+"*gv vUp* >MvU* Z*Vp yV* ,U ,U& ,UD cU, ,U. ,U8 UD,. ,Uc8 ,UM U&,M V, Vc, ,U",
+"j b8,M V,j s,V ,U* -U U*,D c-U ,.U* -U8 ,UD*. c8-U bM* -UM V*b V- U*,j -Uj ",
+",jV* V-s ,UE ,EU& ,UH ,UcH UE,. ,EU8 ,.UH UH,8 ,EbM M&E,U V,H cHV, ,EUj ,U8",
+"ME ,HVj sHV, ,Ud -Ud UH,d g-U ,.Ud U8-d ,UHd. g8-U bd,M bd-M Vd, V-g Ud,j U",
+"d-j ,dVj s-gV ,U2 ,2U& UD,2 ,Uc2 ,U5 U5,8 U5,D ,Uc5 ,2bM M&2,U V,2 c2V, b5,",
+"M ,U58M V5, V5s, ,U; -U; U;,D -Uc; U5,; ->U ,U5D; -Uc> bM,; bM-; V;, V-; U;",
+",j -U>M ,5V; V-> UE,2 ,U&E2 ,2UH c2U,H ,EU5 ,U58E UH,5 c5U,H ,UME2 ,UEM&2 ,",
+"HV2 VcH,2 ,U5ME M&E,U5 ,HV5 s,VH5 Ud,; Ud-; UH,; g;-U U5,d -d>U ,UH5d ->gU ",
+",UdM; -UdM; ,HV; V;g- ,U5dM >M-bd ,5Vd g-V> ,UN ,NU& UD,N ,UcN UN,. ,NU8 ,U",
+"DN. cU8,N ,UQ U&,Q V,Q V,cQ UQ,j UQ,8 ,QVj sQV, ,NU* -UN ,UD*N cN-U ,U*N. U",
+"8-N U*N,D. c-U8N UQb* -UQ ,QV* V-Q ,UQ*j UQ-j V*bQj -QVs ,UW U&,W UH,W ,UcW",
+" ,.UW UW,8 ,UHW. cWU,8 bW,M ,UWQ& Z,V VcZ, UW,j ,UWQ8 ZjV, VZs, UW,d -UW ,U",
+"HW* -UcW ,UWd. UW-8 ,U.WD* c-WU8 UQ,d bW-M VdZ, Z-V ,UWdj UW-j Zb*Vj sZV- ,",
+"Um U&,m Um,D ,Ucm U5,m U8,m ,U5Dm c5U,m bM,m Mm&,U Vm, V,cm pU, ,Up& Vp, s,",
+"Vp Um,; -Um ,UmD; -Ucm ,U5m* >U-m U5*,Dm c>-Um UQ,; bM-m ,QV; V-m ,Up* -pU ",
+"V*pb V-p UW,m ,UWm& UH,m cWU,m U5,W ,U5W8 ,UH5W c5W,U ,UWMm ,UWMm& VmZ, ZcV",
+",m ,UpW pU&,W Z,Vp cpZV, vU, -vU ,UvD gU-v ,Uv5 v>-U vU,H5 cv->U ,UvM vb-M ",
+"Vv, V-v vUp, pv-U V,pv yV- k) k)! k)B ak) 1k) 8k) k)1B 1)ak kM) M!k) Tk) T)",
+"ak l) l8) lT) ls) k* +k* k*B ak* 1*k 8k* 1k*B ak1* k*M k*+M Tk* T*+k l* l+*",
+" l*T ls* kE) !Ek) Hk) H)ak kE1) kE8) 1)Hk H)8k MEk) kME!) H)Tk ak)HM lE) 8E",
+"l) lH) sHl) dk* +dk* Hk* gk* dk1* dk8* Hk1* 1*gk k*dM dkM+* TkH* Tkg* ld* 8",
+"dl* lH* gl* k)2 !)k2 2Bk) k2a) 5k) 5)8k k)5B 5)ak M)k2 kM)!2 k)T2 ak)T2 l5)",
+" 58l) 5Tl) s5l) k;* +;k* *Bk; k;a* 5k* >k* *B5k ak>* M;k* k;M+* k;T* ak;T* ",
+"l;* l>* 5Tl* s>l* E)k2 kE)!2 k)H2 ak)H2 kE5) 5k8E) H)5k H5k8) kME)2 ME)k2! ",
+"HkT)2 Hk)aM2 5El) l58E) H5l) lsH5) d;k* dk;+* k;H* k;g* dk5* dk>* 5kH* >*gk",
+" dkM;* +kdM;* Hk;T* gkT;* 5dl* >*ld H5l* g>l* k)N !)kN )BkN k)aN k)1N kN8) ",
+"1k)NB ak)1N Qk) k)Q! Q)Tk Q)ak lQ) Q8l) QTl) sQl) k*N +Nk* kN*B aNk* 1Nk* k",
+"N8* k*N1B ak*1N Qk* Q*+k TkQ* akQ* l*Q +Ql* Q*lT lQs* Wk) k)W! H)Wk W)ak 1)",
+"Wk W)8k 1HWk) 1Wak) W)Qk WkQ!) Zk) akZ) lW) W8l) lZ) l)sZ Wk* W*+k WkH* Wkg",
+"* Wk1* 8kW* 1H*Wk g1Wk* QkW* +WkQ* Zk* Z*gk lW* +Wl* lZ* l*gZ km) k!m) m)kB",
+" a)km 1)km 8)km km)1B akm1) Q)km km)Q! T)km akmQ) lp) p8l) pTl) l)sp km* k*",
+"+m *Bkm kma* km1* km>* km*1B >kam* kmQ* km*+Q kmT* akmQ* l*p p>l* lTp* spl*",
+" W)km km)W! H)km akmH) 5)Wk 5Wk8) 1Hmk) H8km) km)WM Wk)Mm! kmZ) Zkam) pWl) ",
+"lWp8) l)Zp lZps) vk* +kv* Hkv* g*vk 1*vk >*vk v1Hk* >kgv* Qkv* vk+Q* vkZ* Z",
+"vkg* lv* v>l* Zpl* yl* ,k ,k& ,kB ,ak ,1k :k, 1k,B ,a:k ,kM k&,M ,Tk 9a,M l",
+", l:, l,T ls, ,k* -k *B,k -ka 1*,k :-k k*B,1 :a-k 9M* -kM Tk9* -Tk l*9 l- ,",
+"Tl* l-s ,kE ,Ek& ,Hk Hk,a 1k,E ,k:E 1H,k ,H:k ,E9M k&E,M 9H,M ,HkT& l,E :,l",
+"E lH, s,lH ,dk -kd Hk,d g-k 1d,k -k:d ,1Hdk :-gk 9d,M 9d-M HM9* -Tgk ld, l-",
+"d ,Hld gl- ,k2 ,2k& k2,B ,2ak ,5k ,5:k ,B5k 5a,k ,29M k&2,M ,2Tk ,Tk&2 l,5 ",
+":5l, ,5lT l5s, ,k; -k; ,Bk; ak-; 1;,k >k- ,1;kB -a>k 9M,; 9M-; Tk,; Tk-; l;",
+", l-> ,Tl; s-l> kE,2 k&E,2 ,2Hk ,Hk&2 ,E5k :5k,E H5,k :H5,k ,kME2 ,kEM&2 ,H",
+"kT2 ak2,HM ,5lE l:5,E ,Hl5 ls,H5 dk,; dk-; Hk,; g;-k 5d,k -d>k ,1Hk; g->k ,",
+"dkM; -kdM; ,HkT; -Tkg; ,5ld ->ld ,Hl; g-l> ,kN ,Nk& kN,B ,Nak 1k,N ,k:N ,1k",
+"NB :ak,N ,Qk Q&,k Qk,T Qa,k l,Q :Ql, ,QlT lQs, ,Nk* -kN k*N,B ak-N k*N,1 :N",
+"-k ,1Nk*B :-akN Qk9* -Qk ,QkT* Qa-k ,Ql* l-Q l*9QT -Qls ,Wk W&,k Hk,W Wa,k ",
+"1W,k ,W:k ,1HWk :HW,k 9W,M ,WkQ& Zk, ,aZk lW, :Wl, lZ, l,Z: Wk,d -Wk ,HkW* ",
+"-Wgk ,1Wdk -k:W 1H*,Wk g:-Wk WM9* 9W-M ,dZk Z-k ,Wld l-W Z9l* l-Z ,km k&,m ",
+",Bkm ak,m 1m,k ,k:m ,1mkB :ma,k 9M,m km&,Q Tk,m akm,Q l,p l,:p lTp, spl, km",
+",; -km km*,B ak-m km*,1 -k:m kmB,1; :-mak Qk,; 9M-m km*,T Tk-m p9l* l-p l;,",
+"pT ls-p Wk,m km&,W Hk,m akm,H 5W,k :W5,k ,1Hkm :Hm,k ,WkMm ,WkMm& ,kZm Zk&,",
+"m p,lW :pl,W Zpl, lZ,:p vk, -vk ,Hvk gk-v ,1vk >k-v v1,Hk :v-gk ,Qvk v9-M v",
+"kZ, Zk-v lv, l-v Zvl, yl- Uk) k)U! Dk) U)ak 1U) 1)U8 1)Dk 1)Ua kMU) U!kM) V",
+"k) akV) lU) U8l) Vl) l)Vs U*k +kU* Dk* D*+k 1U* U+1* U*1D Ua1* UkM* k*MU+ V",
+"*k +kV* l*U U+l* l*V Vls* kEU) U!kE) U)Hk ak)UH UE1) 1U8E) 1)UH 1UH8) UkME)",
+" kMEU!) HkV) VHak) UEl) lU8E) VHl) lsVH) dkU* dk*U+ HkU* U*gk Ud1* 1U+d* UH",
+"1* 1Ug* dkMU* U+dk*M HkV* V*gk Udl* l+Ud* Vdl* l*gV k)U2 U!k)2 k)D2 ak)U2 1",
+")U5 1U58) 5)Dk 1Ua5) UkM)2 kM)U!2 k)V2 V2ak) U5l) lU58) l)V5 lsV5) k;U* k;*",
+"U+ k;D* ak;U* U51* 1U>* Dk5* Dk>* k;MU* U+kM;* k;V* V+k;* U5l* >Ul* V5l* l*",
+"V> UkE)2 kE)U!2 UHk)2 UH)ak2 1U5E) 5kEU8) 1UH5) ak)UH5 kMEU)2 !)k2UME V2Hk)",
+" ak)V2H lU5E) U58lE) Vl5H) Vs5lH) dk;U* U+dk;* UH;k* gUk;* 1Ud5* >kUd* 1UH5",
+"* >kgU* UdkM;* dkU;+M* Vdk;* gVk;* ldU5* l>Ud* lH;V* V>lg* k)UN U!k)N k)DN ",
+"ak)UN U)1N 1U8)N 1UD)N 1Ua)N U)Qk UQk!) QkV) VQak) UQl) lUQ8) VQl) lsVQ) UN",
+"k* k*NU+ DNk* ak*UN 1NU* 1U+*N 1U*DN 1Ua*N QkU* U+Qk* QkV* V+Qk* UQl* l+UQ*",
+" lQV* s*VlQ U)Wk UWk!) W)Dk UWak) 1)UW 1UW8) 1UHW) 1UWa) UWQk) Wk)UQ! VkZ) ",
+"ZkVa) UWl) lWU8) l)VZ lZVs) WkU* U+Wk* DkW* gUWk* UW1* 1U+W* 1UHW* g1UW* UW",
+"*Qk +WkUQ* V*Zk gVZk* UWl* l+WU* VlZ* glZV* U)km km)U! D)km akmU) 1)Um 1Um8",
+") 1UmD) 1Uam) km)UQ UQ)km! kmV) Vmak) l)pU pUl8) l)Vp Vpls) kmU* km*U+ kmD*",
+" akmU* Um1* >kUm* km*1D >kDm* km*UQ U+Qkm* kmV* V+mk* pUl* l>pU* l*Vp V>lp*",
+" km)UW UW)km! UHmk) ak)UHm 1UW5) km)UW8 1UHm) ak)U5W UWQkm) W)QkUm! ZkVm) V",
+"maZk) lWpU) pU8lW) VplZ) lZsVp) U*vk vU+k* Dkv* gvUk* 1Uv* >kvU* v1UH* >kvD",
+"* vUQk* U+Qvk* vkV* Vvgk* vUl* lv>U* l*Vv l*yV t, t&, tD, tc, t1, t:, ,1tD ",
+"t,:c tM, ,Mt& Vt, V,tc lt, t:l, l,V u, t* t- t*D t-c t*1 t-: 1Dt* :ct- t*M ",
+"t-M t*V V-t lt* l-t Vlt* u- t,E ,&tE tH, cHt, ,1tE :,tE ,1tH t,:H ,MtE tM&,",
+"E V,tH tcV,H t,lE t:,lE tHl, uH, td* t-d tH* gt- ,1td :-td 1Ht* t-g: ,dtM -",
+"Mtd Vdt* V-gt tdl* ldt- tHl* ug- t,2 ,&t2 ,Dt2 c2t, t5, :5t, ,5tD t,c5 ,Mt2",
+" tM&,2 t,V2 tcV,2 t5l, t:5l, V5l, u5, t;* t-; ,Dt; c-t; t5* t>- 5Dt* c>t- ,",
+"Mt; -Mt; V;t* t;V- t5l* t>l- V5t* u-> ,Et2 t&,E2 ,Ht2 tcH,2 ,5tE t:5,E ,Ht5",
+" t:H,5 tM,E2 M&Et,2 tHV,2 Vc,tH2 t5,lE l:,t5E tH5l, ,Hu5 ,dt; -dt; ,Ht; t;g",
+"- ,5td ->td H5t* g-t> tdM,; t-dM; tH;V* V-gt; t5dl* l-t>d tH5l* g-u> t,N ,&",
+"tN ,DtN c,tN ,1tN :,tN t1D,N t:c,N tQ, ,Qt& V,tQ t,cQ tQl, t,:Q lQV, uQ, t*",
+"N t-N D*tN tNc- 1*tN tN:- t*1DN t-:cN tQ* t-Q V*tQ tQV- tQl* tQl- tQ*Vl u-Q",
+" tW, ,Wt& ,HtW t,cW ,1tW t,:W tH1,W t:H,W ,WtQ tWQ,& tZ, Z,tc tWl, t:Wl, l,",
+"tZ uZ, tW* t-W H*tW tWg- 1Wt* :-tW tH*1W t-Wg: ,Qtd -WtQ tZ* tZ- tWl* lWt- ",
+"l*tZ uZ- tm, ,mt& ,Dtm t,cm ,1tm t,:m t5D,m t:mc, ,Qtm tQm,& V,tm tcQ,m tp,",
+" p,t: l,Vp up, tm* t-m Dmt* c-tm 1mt* :-tm t5*Dm t-mc> ,Qt; -Qtm Vmt* tmV- ",
+"tp* tp- t*Vp up- ,Wtm tWm,& ,Htm tcW,m ,5tW t:W,5 tH5,W t:H,m tWQ,m Mm&tW, ",
+"Z,tm tZc,m p,tW tp:,W Z,tp Zpu, tv* tv- vDt* t-cv v1t* t-:v tv1,H gtv:- vMt",
+"* tQ-v t*Vv Z-tv l*tv tvl- l,Vv yu- F !F FB aF F. 8F .BF 8aF FK !KF TF TaF ",
+"jF 8jF TjF sF (F +F (BF +aF (F. +8F (F.B 8a+F (FK +FK T(F +TF j(F +jF j(TF ",
+"s+F G G! GH Ga G. G8 GH. G8H GK GK! GT GTa Gj G8j GTj sG Gd +G GHd gG Gd. +",
+"G8 HdG. gG8 GdK +GK GTd gGT Gjd +Gj TdGj gsG F2 !F2 2BF aF2 5F 58F 5BF 5aF ",
+"2KF !F2K TF2 T2aF 5jF 8j5F 5TF s5F ;F +;F ;FB a;F 5;F >F ;F5B >Fa ;FK ;F+K ",
+"T;F +FT; ;jF >jF 5FT; s>F G2 G2! GH2 Ga2 G5 G58 G5H G5a G2K 2KG! GT2 TaG2 G",
+"5j 58Gj G5T sG5 G; +G; G;H gG; G5d >G H5G; g>G G;K GK+; GT; GTg; G;j >Gj H;",
+"Gj s>G FN !FN NBF aFN N.F 8FN FBN. aN8F QF Q!F QTF QaF QjF Q8F TjQF sQF (FN",
+" +FN (FNB aF+N (FN. 8F+N .BN(F +8aFN Q(F +QF T(QF +FQa j(QF +FQ8 QTj(F +QsF",
+" GW W!G GHW GaW GW. G8W HWG. W8Ga GQ GQ! ZG ZGa GQj GQ8 ZGj sZG GWd +GW HWG",
+"d gGW WdG. G8+W GHWd. G8gW GQd +GQ ZGd gZG QdGj GQ+j GjZd sGgZ mF mF! mFB a",
+"mF 5mF 8mF mF5B 5Fam QmF mFQ! TmF QFam pF p8F pTF spF m;F +mF ;FmB +Fam m;5",
+"F >mF 5m;FB am>F Q;F +FQ; QFT; +FTm p;F p>F T;pF >Fsp Gm Gm! GmH Gam G5W G8",
+"m H5Gm H8Gm GQm Q!Gm ZGm GaZm pG pG8 ZpG spG vG v+G vGH gvG vG5 v>G G5vH >G",
+"gv vGQ +GvQ ZvG gGZv pvG p>G pGZv yG #F &F #BF a&F #F. 8&F #F.B a&8F #FK &F",
+"K T#F T&F j#F &jF j#TF s&F #(F +&F #(FB a&+F (F#. 8&+F #BF(. +8a&F (F#K &F+",
+"K #(TF +FT& #(jF +F&j Tj#(F +&sF G# G& GH# Ga& G#. G8& H#G. H8G& G#K G&K GT",
+"# GT& Gj# G&j G#Hj sG& Gd# +G& HdG# gG& d#G. 8dG& GHd#. G8g& dKG# GKd& G#Td",
+" GTg& G#dj G&+j dj#GT g&sG #F2 &F2 #F2B &2aF 5#F 5&F #B5F a&5F #F2K 2K&F #F",
+"T2 &FT2 j#5F 5F&j T#5F 5&sF ;#F ;&F #B;F aF;& ;#5F >&F 5;#FB a&>F #F;K &F;K",
+" ;#TF TF;& j#;F &j>F ;j#TF s&>F G#2 G&2 H#G2 G2H& G5# G5& G#H5 H5G& 2KG# &2",
+"GK T#G2 G2T& 5jG# 5&Gj G#5T G5s& G;# G;& G#H; G;g& G#5d >G& G5Hd# gG>& ;#GK",
+" GK;& G#T; T;G& G#;j G&>j G5Td# >&sG #FN &FN #FNB &FaN #FN. &F8N #FN.B 8a&F",
+"N Q#F Q&F T#QF QFT& j#QF QF&j QTj#F Q&sF (F#N &F+N #FN(B +a&FN #FN(. +8&FN ",
+"#BFN.( 8a&+FN #(QF +FQ& QT#(F +QT&F Qj#(F &jF+Q Tj#Q(F s+Q&F GW# G&W HWG# W",
+"aG& W#G. W8G& GHW#. G8HW& GQ# GQ& ZG# Z&G G#Wj W&Gj GjZ# Z&sG WdG# G&+W GHW",
+"d# G&gW GWd#. +GW8& HWdG#. gGW8& G#Qd G&+Q GdZ# gGZ& dj#GQ d&jGQ ZGdj# Z&Gg",
+"s m#F m&F #BmF aFm& m#5F 5Fm& 5m#FB am&5F m#QF QFm& m#TF TFm& p#F p&F T#pF ",
+"sFp& ;#mF +Fm& m;#FB am&+F 5m;#F m&>F m;#5BF >ma&F ;#QF QF;& Q;T#F +Tm&F ;#",
+"pF >Fp& pT;#F p>&sF Gm# Gm& G#Hm HmG& G#5W 5WG& G5HW# G5aW& QmG# Q&Gm GmZ# ",
+"GmZ& pG# pG& Z#pG pGZ& vG# v&G GHv# gGv& G5v# >Gv& vGH5# gv>G& GQv# GQv& vG",
+"Z# ZGv& vGp# v&pG ZpvG# y&G I I! DI aI I. 8I DI. D8I IK IK! TI TIa Ij 8Ij D",
+"jI sI I( +I DI( +DI I(. +I8 I(D. D8+I I(K +IK TI( +TI Ij( +Ij D(Ij sI+ GI G",
+"I! J Ja GI. G8I J. J8 GIK IKG! JT JTa GjI 8IGj Jj sJ Id +GI Jd gJ Id. 8Id J",
+"d. gJ8 IdK GK+I JTd gJT Idj Gj+I Jjd sJg I2 I2! DI2 aI2 5I 5I8 5DI 5aI I2K ",
+"2KI! TI2 I2Ta 5Ij 58Ij 5TI sI5 I; +I; D;I aI; 5I; >I D;5I >DI I;K +KI; TI; ",
+"T;+I I;j >Ij T;5I s>I GI2 I2G! J2 Ja2 G5I 5IG8 J5 J58 I2GK GI2!K JT2 TaJ2 5",
+"IGj G58Ij J5T sJ5 G;I G;+I J; gJ; 5Id >GI J5d J> GKI; IdK+; J;T gTJ; I;Gj G",
+"j>I J;j J>s IN IN! DIN aIN IN. 8IN IND. DN8I QI QI! QDI QaI QIj Q8I DjQI sI",
+"Q I(N +IN I(DN +NaI N.I( +N8I DI(N. +D8IN QI( +QI Q(TI QD+I Q(Ij Q8+I Ij(QD",
+" +QsI WI WI! JW JWa WI. W8I JW. J8W GQI Q!WI ZJ ZJa WIj Q8WI ZJj sJZ WId +W",
+"I JWd gJW W.Id W8+I WdJ. gWJ8 QId GQ+I ZJd gZJ IdWj WI+j ZdJj gZsJ Im Im! D",
+"mI aIm 5Im 8Im Dm5I 8IDm QIm Q!Im TIm aITm pI pI8 pDI spI Im; +Im ImD; Dm+I",
+" 5mI; >Im Im;5D Dm>I QI; QI+m D;QI TI+m pI; p>I D;pI p>sI GmI W!Im Jm Jma 5",
+"WI W85I J5W J8m QIGm Im!GQ ZJm ZaJm pGI G8pI Jp Jps vI vI+ Jv Jvg vI5 v>I J",
+"v5 J>v vIQ +QvI JvZ gZJv pvI v>pI Jpv yJ bI I& bDI cI bI. b8I DIb. c8I bKI ",
+"I&K bTI cTI bjI I&j TIbj scI bI( b+I DIb( c+I I(b. +Ib8 bDI(. +Ic8 I(bK bK+",
+"I b(TI +TcI b(Ij +Ibj Ij(bT c+sI bG bG& Jb cJ bG. bG8 Jb. cJ8 bGK bKG& JbT ",
+"cJT bGj G8bj Jjb sJc bGd b+G Jbd gJc b.Id +Gb8 bdJ. J8gc bKId bK+G bTJd gTc",
+"J Gjbd +Gbj bdJj gcsJ bI2 I&2 DIb2 c2I b5I 5I& bD5I c5I I2bK &2IK b2TI TIc2",
+" 5Ibj Ij5& 5IbT c5sI b;I I;& bDI; c;I 5Ib; >bI b5DI; c>I bKI; IK;& TIb; TIc",
+"; I;bj bj>I I;jbT sIc> bG2 b2G& Jb2 cJ2 bG5 G5b8 J5b cJ5 G2bK I&2GK bTJ2 JT",
+"c2 G5bj I&jG5 b5Jj c5sJ bG; +Gb; J;b cJ; G5bd >bG b5J; J>c bKG; I;&GK bTJ; ",
+"cTJ; G;bj bG>j b;Jj c>sJ bIN I&N DIbN cIN INb. bN8I bDIN. 8IcN bQI QI& QIbT",
+" cQI QIbj QIb8 bQDIj cQsI I(bN bN+I bDI(N +IcN bI(N. I&N+8 DI(bN. c+8IN b(Q",
+"I +IbQ bQDI( +QcI Ij(bQ I&j+Q bQDIj( sI+cQ bGW WI& JbW cJW b.WI G8bW bWJ. J",
+"8cW bGQ G&bQ ZJb ZcJ GQbj GQb8 JjZb ZcsJ WIbd +GbW bWJd cWgJ Id.bW b+GW8 Jb",
+"Wd. cJWg8 GQbd +GbQ JbZd gJZc IdjbW IdjW& ZJbdj sJZgc bmI Im& bDIm cmI 5Ibm",
+" 8Ibm b5DIm 5Icm QIbm ImQ& TIbm QIcm pbI pI& bTpI cpI Imb; +Ibm Im;bD +Icm ",
+"Im;b5 bm>I b5DIm; >Icm QIb; I;Q& bQ;TI QIc; b;pI >bpI pbDI; pIc> bGm G&bm J",
+"mb cJm G5bW G8bm b5Jm J5cW GQbm Im&GQ JmZb cmZJ pbG bGp& Jpb cpJ vbG vI& Jv",
+"b cvJ bGv5 >bvI vbJ5 J>cv bGvQ QIv& ZbJv JvZc vbpG vIp& pbJv yJc 0F !0F 0BF",
+" a0F 1F 18F 1FB 1aF 0FK 0F!K T0F a0TF 1jF 8j1F 1TF s1F 0(F +0F 0(FB a0+F 1(",
+"F 1+F (B1F +a1F (F0K 0F+K 0(TF T0+F j(1F 1F+j T(1F 1+sF G0 G0! GH0 Ga0 1G 1",
+"G8 1GH 1Ga G0K !KG0 GT0 TaG0 1Gj 18Gj 1GT sG1 Gd0 +G0 HdG0 gG0 1Gd 1+G GH1d",
+" g1G dKG0 GK+0 G0Td GTg0 Gj1d +j1G GT1d sGg1 0F2 0F!2 0F2B 0Fa2 15F 581F 5B",
+"1F 1F5a 0F2K 2K0!F 0FT2 Ta0F2 5j1F 158jF 1F5T 15sF ;0F ;0+F 0B;F ;0aF 1;F >",
+"F1 ;F1B 1a>F 0F;K +;0FK ;0TF a;0TF 1F;j 1j>F 1FT; s1>F G02 !0G2 H0G2 a0G2 1",
+"G5 15G8 G51H G51a 2KG0 G02!K T0G2 GTa02 15Gj 1G58j G51T 1Gs5 G;0 +0G; G0H; ",
+"G;g0 1G; >G1 G;1H >Gg1 ;0GK +G;0K G0T; gGT;0 Gj1; 1G>j GT1; s1>G 0FN 0F!N 0",
+"FNB 0FaN 1FN 8F1N NB1F aF1N Q0F !0QF T0QF a0QF 1QF 1FQ8 QT1F 1QsF (F0N 0F+N",
+" 0B(FN +a0FN (F1N +F1N 1(FNB 1+aFN 0(QF Q0+F QT0(F +QT0F Q(1F 1F+Q 1QT(F s1",
+"+QF GW0 G0W! HWG0 G0Wa 1GW G81W GH1W Ga1W GQ0 G0Q! ZG0 GaZ0 1GQ G81Q Z1G Z1",
+"sG WdG0 GW+0 GHWd0 GWg0 GW1d +G1W 1GHWd 1GgW G0Qd +0GQ GdZ0 ZGg0 GQ1d +G1Q ",
+"1GZd gGZ1 m0F !0mF 0BmF m0aF 1mF 1F8m mF1B 1Fam m0QF Q!m0F m0TF am0QF p1F 1",
+"8pF 1TpF p1sF ;0mF m0+F m;0FB am0+F m;1F 1m>F 1m;FB >m1aF ;0QF +Qm0F Q;T0F ",
+"+Tm0F 1;pF p1>F p1T;F p>1sF Gm0 m0G! G0Hm G0am 1Gm G81m Gm1H Ga1m QmG0 GQm!",
+"0 GmZ0 ZGam0 pG1 1Gp8 pGZ1 s1pG vG0 +Gv0 GHv0 vGg0 v1G >Gv1 1GvH gGv1 GQv0 ",
+"v+GQ0 vGZ0 ZvGg0 v1pG p1>G ZGv1 y1G 9F 9&F 9FB 9aF 91F :F 1B9F :aF 9FK &F9K",
+" 9TF 9FT& 9jF :jF 9F1T s:F 9(F 9+F (B9F +a9F 1(9F :+F 91(FB +a:F (F9K +F9K ",
+"T(9F 9F+T j(9F +j:F 9T1(F :+sF 9G 9G& 9GH 9Ga 9G1 :G 1G9H :GH 9GK 9KG& 9GT ",
+"GT9a 9Gj :Gj 1G9T s:G 9Gd 9+G GH9d g9G 1G9d :G+ 9G1Hd g:G Gd9K 9K+G GT9d 9G",
+"gT Gj9d +G:j 9GT1d sGg: 9F2 &F92 2B9F aF92 95F :5F 5B9F 5a:F 2K9F 9&F2K TF9",
+"2 9TaF2 5j9F 5j:F 9F5T :5sF 9;F 9F;& ;F9B 9Fa; 9F1; :>F 95;FB :a>F ;F9K ;&F",
+"9K 9FT; 9+T;F 9F;j :j>F 95T;F >Fs: 9G2 92G& GH92 92Ga 9G5 :G5 G59H G5:H G29",
+"K 9G&2K 92GT 9GT&2 G59j G5:j G59T s5:G 9G; +G9; G;9H 9Gg; 1G9; :>G 9G5H; :G",
+"g> 9KG; 9+G;K GT9; g9GT; G;9j >j:G 9G5Td :>sG 9FN &F9N NB9F aF9N 1F9N :FN 9",
+"1FNB aF:N 9QF 9FQ& QT9F 9FQa 9F1Q :QF 9Q1TF sF:Q (F9N +F9N 9(FNB 9+aFN 91(F",
+"N +F:N 1(F9NB :+aFN Q(9F 9F+Q 9QT(F 9+QTF 9Q1(F +Q:F 1Q(9TF :Q+sF 9GW G&9W ",
+"GH9W Ga9W 1G9W :GW 9G1HW Ga:W 9GQ G&9Q Z9G 9GZ& 1G9Q :GQ 9GZ1 Z:G GW9d +G9W",
+" 9GHWd 9GgW 9G1Wd +G:W 1GH9Wd gG:W GQ9d +G9Q 9GZd gGZ9 9GQ1d +G:Q Z91Gd :Gg",
+"Z 9mF 9Fm& mF9B 9Fam 9F1m :mF 95mFB am:F Qm9F m&F9Q 9FTm 9QamF p9F :pF 9TpF",
+" sF:p m;9F 9F+m 9m;FB 9+maF 95;mF >F:m 1mF9;B :>amF 9FQ; 9+QmF 9Q;TF 9+TmF ",
+"9;pF >F:p p9T;F :ps>F 9Gm G&9m Gm9H Ga9m 1G9m :Gm 9G5Hm Ga:m GQ9m 9GQm& 9GZ",
+"m Z9Gam p9G :pG pGZ9 sG:p v9G 9+vG 9GvH gGv9 9Gv1 :vG v91GH :Ggv 9GvQ v9+GQ",
+" ZGv9 Zv9gG v9pG pv:G Zp9vG y:G I0 I0! DI0 aI0 1I 1I8 1DI 1aI I0K !KI0 TI0 ",
+"T0aI 1Ij 18Ij 1TI sI1 I0( +I0 I0D( +0aI 1I( 1+I DI1( +D1I 0(IK I0+K I0T( +0",
+"TI 1(Ij +j1I 1(TI 1+sI GI0 I0G! J0 Ja0 1GI G81I J1 J18 I0GK GI0!K JT0 TaJ0 ",
+"Gj1I 1G8Ij J1T sJ1 Id0 +0Id Jd0 gJ0 1Id +G1I J1d gJ1 I0dK Id0+K TdJ0 JTg0 I",
+"j1d Idj1+ 1TJd g1sJ I02 !0I2 I2D0 I2a0 1I5 158I 5D1I 5a1I 2KI0 I02!K I2T0 T",
+"Ia02 15Ij 1I58j 5T1I 1Is5 I;0 +0I; D0I; a0I; 1I; >I1 D;1I 1D>I ;0IK I;0+K T",
+"0I; +TI;0 Ij1; 1I>j TI1; s1>I I0G2 GI0!2 J02 a0J2 G51I 1G58I J15 1aJ5 GI02K",
+" I02GK! T0J2 JTa02 1G5Ij G581Ij 1TJ5 s1J5 G0I; Id0+; J;0 g0J; G;1I 1G>I J1;",
+" J>1 Id0;K +G0I;K T;J0 gJT;0 Idj1; >I1Gj 1TJ; J1s> I0N !0IN I0DN I0aN 1IN 1",
+"N8I DI1N 1NaI QI0 I0Q! Q0TI Q0aI 1QI Q81I QD1I 1QsI 0(IN I0+N DI0(N +DI0N I",
+"(1N 1N+I 1DI(N 1+DIN I0Q( +0QI QDI0( +QDI0 1(QI +Q1I 1QDI( sI1+Q WI0 I0W! J",
+"W0 WaJ0 1WI W81I J1W 1WJ8 G0QI GQI!0 ZJ0 JaZ0 GQ1I 1GQ8I ZJ1 Z1sJ W0Id +0WI",
+" WdJ0 JWg0 WI1d +W1I 1WJd gWJ1 Q0Id +GQI0 JdZ0 g0ZJ QI1d 1+GQI ZdJ1 ZJg1 Im",
+"0 I!m0 D0Im a0Im 1Im 8I1m Dm1I aI1m Q0Im Im0Q! T0Im QaIm0 pI1 1Ip8 1DpI s1p",
+"I m;I0 +0Im Im;D0 +DmI0 Im1; 1I>m 1DmI; >Dm1I Q0I; +QIm0 QD;I0 +TIm0 1Ip; p",
+"1>I pD1I; p>D1I G0Im Im0W! Jm0 amJ0 Gm1I 1Gm8I J1m 1aJm Im0GQ GQ0Im! Z0Jm Z",
+"Jam0 1GpI pG81I Jp1 J1sp vI0 +Iv0 Jv0 g0Jv v1I >Iv1 Jv1 g1Jv QIv0 vI+Q0 Z0J",
+"v JvZg0 v1pI pvI>1 Z1Jv yJ1 9I 9I& 9DI c9I b1I :I 1D9I :cI 9IK 9KI& 9TI 9Tc",
+"I 9Ij :Ij 1T9I s:I 9I( 9+I DI9( 9+cI b(1I :I+ b1DI( c+:I I(9K 9K+I 9(TI +T9",
+"I 9(Ij +I:j b1TI( s+:I bG9 G&9I J9 cJ9 b1G :Gb J91 :J bK9G I&K9G J9T cTJ9 9",
+"Gbj bG:j J9j :Js 9Id 9+bG J9d gJ9 1Gbd :Id b1Jd :Jg 9KId b+G9K 9TJd gTJ9 Id",
+"9j Id:j 9dJj sJg: 9I2 92I& DI92 9Ic2 95I :I5 5D9I c5:I I29K I&29K 92TI c29T",
+"I 5I9j 5I:j 5T9I s5:I 9I; +I9; D;9I 9Ic; 1Ib; :>I b1;DI :Ic> 9KI; I;&9K TI9",
+"; c;9TI I;9j >j:I I;j9D :>sI b29G I&29G J92 c2J9 9Gb5 bG:5 J95 :J5 bG92K 9G",
+"2I&K 9TJ2 cJ9T2 b1G5j :Gb5j 95Jj J5s: 9Gb; I;&9G J9; J9c; 1Gb; >b:G b1J; :J",
+"> bG;9K I;K9+G 9TJ; cJ;9T Idj95 :>Gbj 9;Jj s:J> 9IN 9NI& DI9N 9IcN bN1I :IN",
+" b1DIN cN:I 9QI Q&9I QD9I 9QcI 1Q9I :QI b1QTI :QsI I(9N 9N+I 9DI(N c9+IN b1",
+"I(N +I:N 1D(9IN :c+IN 9(QI +Q9I 9QDI( cQ9+I b1QI( +Q:I Ij(9QD :cQ+I 9WI W&9",
+"I J9W J9cW 1GbW :WI b1JW :JW 9GbQ bGQ9& ZJ9 cJZ9 1GbQ bG:Q J9Z1 Z:J WI9d +W",
+"9I 9WJd gWJ9 b1GWd +W:I J91Wd :WgJ QI9d b+G9Q ZdJ9 ZJg9 Idj9W QI:d ZJ91d gZ",
+":J 9Im I&9m Dm9I 9Icm 1Ibm :Im b1mDI cm:I QI9m Im&9Q TI9m cQ9Im p9I :pI 9Dp",
+"I sI:p Im9; +I9m 9DmI; cm9+I b1mI; >I:m 1Dm9I; c>:Im QI9; I;&9Q 9QDI; cQ;9I",
+" 9Ip; p>:I p9DI; cp:>I 9Gbm Im&9G J9m J9cm 1Gbm bG:m b1Jm :Jm bGQ9m 9GQIm& ",
+"JmZ9 ZJ9cm b1pG pb:G Jp9 :Jp v9I 9+vI Jv9 g9Jv b1vI :vI vbJ1 :Jv 9QvI v9I+Q",
+" Z9Jv cvZJ9 v9pI pv:I pvJ9 yJ: FL !FL LBF aFL FL. 8FL FL.B aF8L MF MF! TMF ",
+"aMF MjF 8MF MjTF sMF (FL +FL (FLB aF+L FL(. 8F+L (BLF. +8aFL M(F +MF M(TF +",
+"FaM j(MF +F8M TMj(F +MsF GL GL! GHL GaL GL. G8L HLG. GLH8 GM GM! GTM GaM GM",
+"j G8M HMGj sGM GdL +GL HdGL gGL dLG. +LG8 GHdL. G8gL GMd +GM TdGM gMG dMGj ",
+"G8+M dMjGT sGgM FL2 FL!2 FL2B FLa2 5FL 8F5L LB5F aF5L MF2 !FM2 MFT2 M2aF 5M",
+"F 5F8M TM5F 5MsF ;FL ;F+L LB;F ;FaL ;F5L >FL 5;FLB aF>L M;F +FM; TFM; aFM; ",
+"5FM; >MF M;F5T sM>F GL2 !LG2 HLG2 aLG2 G5L 58GL GLH5 GL5a GM2 M2G! G2HM G2a",
+"M G5M 5MG8 H5GM G5sM G;L +LG; GLH; G;gL GL5d >GL G5HdL gG>L GM; G;+M HMG; G",
+"Mg; 5dGM >MG G5TdM sG>M FLN FL!N FLNB FLaN FLN. FL8N .BLFN 8aFLN QMF MFQ! T",
+"MQF QFaM MjQF QF8M QTMjF QMsF FL(N FL+N (BLFN +aFLN N.(FL +8FLN (BFN.L 8aF+",
+"LN M(QF QM+F QTM(F aMF+Q QMj(F +Q8MF TMjQ(F s+QMF GWL GLW! HWGL GLWa WLG. G",
+"LW8 GHWL. G8HWL GQM Q!GM ZGM GaZM WMGj W8GM GMZj ZGsM WdGL GW+L GHWdL GWgL ",
+"GWdL. +GW8L HWdGL. gGW8L QdGM GQ+M GMZd ZGgM dMjGQ +GQ8M ZGdMj gZsGM mFL !F",
+"mL LBmF mFaL mF5L mF8L 5mFLB amF5L MmF M!mF TFMm aFMm pMF 8MpF TMpF pMsF ;F",
+"mL mF+L m;FLB amF+L 5m;FL mF>L m;F5BL >maFL QFM; +FMm MmFT; aMm+F M;pF pM>F",
+" pTM;F >MpsF GmL mLG! GLHm GLam GL5W GL8m G5HWL G5aWL GMm G!Mm GMZm aMGm pG",
+"M G8pM ZMpG sMpG vGL +GvL GHvL vGgL G5vL vG>L vGH5L gv>GL vMG +GvM ZGvM gGv",
+"M vMpG pG>M ZpvGM yGM #FL &FL #FLB &FaL FL#. &F8L #L.FB 8a&FL M#F M&F M#TF ",
+"TFM& j#MF 8FM& TMj#F M&sF (F#L &F+L (BL#F +a&FL #L.(F +8&FL (BF#L. 8a&+FL #",
+"(MF +FM& TM#(F aMF+& Mj#(F M&F+j Mj#T(F s+M&F G#L G&L H#GL GLH& #LG. 8&GL G",
+"H#L. G8H&L GM# GM& G#HM HMG& MjG# 8MG& GTMj# GMs& d#GL +LG& GHd#L G&gL Gd#L",
+". d&LG8 Hd#GL. gG8&L G#dM G&+M dM#GT GMg& dMjG# dM&G8 GTMdj# gsGM& FL#2 FL&",
+"2 #L2FB a&FL2 #F5L &F5L 5B#FL 5a&FL #FM2 &FM2 TM#F2 aMF&2 M#5F 5FM& 5TM#F s",
+"5M&F #F;L &F;L ;#FLB a;&FL 5;#FL &F>L ;#F5BL >&aFL ;#MF MF;& M;#TF aM;&F M;",
+"#5F M&>F 5T#M;F >Ms&F #LG2 &LG2 GH#L2 Ga&L2 5#GL GL5& G5H#L G5a&L M#G2 G2M&",
+" GTM#2 GT&M2 G#5M 5MG& G5TM# sG5M& ;#GL GL;& G;H#L gG;&L G5d#L G&>L H5#G;L ",
+"g>G&L G#M; M;G& GT;M# gMG;& G5Md# GM>& dM#G5T >MgG& FL#N FL&N #LNFB a&FLN #",
+"LNF. 8&FLN .BL#FN a&F8LN M#QF QFM& QTM#F aMFQ& QMj#F M&FQ8 TMjQ#F sQM&F #LN",
+"(F +&FLN #FN(BL a&F+LN #(FN.L 8&F+LN (FLBN.# 8a+&FLN QM#(F M&F+Q TM#Q(F +QT",
+"M&F Mj#Q(F +Q8M&F #(TFQMj M&Fs+Q W#GL GLW& GHW#L GaW&L GW#L. G8W&L HW#GL. H",
+"8WG&L G#WM WMG& GMZ# GMZ& GQMj# GQ8M& ZGMj# Z&GsM GWd#L d&LGW HWdG#L gGW&L ",
+"Wd#GL. G8Wd&L WdG#HL. G8Wg&L dM#GQ dM&GQ ZGdM# Z&GgM GQMdj# GQ8dM& dMjZG# g",
+"sGZ&M #FmL &FmL m#FLB am&FL 5m#FL m&F5L m#F5BL 5aFm&L m#MF MFm& Mm#TF aMm&F",
+" M#pF M&pF pTM#F p&MsF m;#FL m&F+L ;#FmLB m&Fa;L m;#5FL >m&FL LBmF5;# am&>F",
+"L Mm#;F Mm&+F Tm#M;F aMFQ;& pM;#F >Mp&F M;#pTF p&F>Ms m#GL GLm& GmH#L Gam&L",
+" G5W#L G5&WL H5#GmL amLG5& G#Mm MmG& ZGMm# Z&GMm GMp# GMp& ZpGM# Zp&GM G#vL",
+" G&vL vGH#L gvG&L vG5#L v>G&L G5Hv#L v&Gg>L GMv# GMv& ZvGM# Zv&GM pvGM# >Mv",
+"G& pGMZv# GMy& UI U!I UDI UaI UI. U8I DIU. 8IUa IM IM! VI VaI UjI 8IM VIj s",
+"IV UI( U+I DIU( +IUa I(U. +IU8 UDI(. U+D8I IM( +IM VI( V+I U(Ij +IUj IjV( V",
+"+sI UG UG! JU JUa UG. UG8 JU. J8U UGM U!GM VJ VJa UGj G8Uj JjV sJV UGd U+G ",
+"JUd gJU U.Id +GU8 UdJ. J8gU IdM +MUG VJd gVJ GjUd +GUj VdJj sJgV UI2 I2U! D",
+"IU2 U2aI U5I 5IU8 UD5I 5IUa IM2 I!M2 V2I aIV2 5IM 8I5M V5I V5sI U;I +IU; UD",
+"I; aIU; 5IU; >UI U5DI; Ua>I IM; I;+M V;I +IV; I;Uj >MI 5IV; V>I UG2 G2U! JU",
+"2 UaJ2 UG5 G5U8 J5U U5J8 U2GM IM2G! VJ2 JaV2 G5Uj UG58M J5V VsJ5 UG; +GU; J",
+";U J;gU G5Ud >UG U5J; J>U GMU; IdM+; J;V J;gV G;Uj UG>M V5J; J>V UIN INU! D",
+"IUN UNaI INU. UN8I UDIN. U8IDN UQI Q!IM VQI QaVI QIUj QIU8 QIVj VQsI I(UN U",
+"N+I UDI(N U+DIN UI(N. U+8IN DI(UN. +DIU8N U(QI +IUQ QIV( +QVI IM(Qj U+Q8I V",
+"QIj( sIV+Q UGW U!WI JUW UWJa U.WI G8UW UWJ. UWJ8 UGQ Q!UG ZJV ZaVJ GQUj GQU",
+"8 VZJj VZsJ WIUd +GUW UWJd JUgW Id.UW U+GW8 JUWd. gJUW8 GQUd +GUQ VdZJ ZJgV",
+" IdMWj IdMW8 ZJVdj gVZsJ UmI U!Im UDIm aIUm 5IUm 8IUm U5DIm U5aIm IMm I!Mm ",
+"VmI aIVm pUI U8pI VpI sIVp ImU; +IUm Im;UD U+maI Im;U5 Um>I U5DIm; >DmUI QI",
+"U; IM+m QIV; +IVm U;pI pI>M pIV; pIV> UGm U!Gm JmU UaJm G5UW G8Um U5Jm U8Jm",
+" GQUm IMmW! JmV JaVm pUG UGp8 JpV VpsJ vUG U+vI JvU gUJv UGv5 >UvI vUJ5 vUJ",
+"> vIM +IvM VvJ JvgV vUpG vI>M VvJp yJV bUI U&I UDbI cUI UIb. 8IU& bUDI. U8c",
+"I bMI IM& VbI VcI IMbj 8IbM bjVI VcsI UIb( +IU& bUDI( U+cI bUI(. b+U8I UDIb",
+"(. cU+8I b(IM +IbM bIV( cIV+ IM(bj IM&+j VbIj( sIVc+ bGU UG& JbU cJU b.UG U",
+"Gb8 bUJ. cUJ8 bGM GMU& VJb cJV UGbj G8bM VbJj VJsc UGbd U+bG bdJU cJgU Id.b",
+"U b+GU8 JbUd. cJUg8 GMbd +GbM JbVd cJgV IdMbj IdMb8 JjVbd gVJsc UIb2 U2I& b",
+"UDI2 UIc2 bU5I 5IU& b5UDI U5cI b2IM I2M& bIV2 cIV2 5IbM IM5& b5VI cIV5 bUI;",
+" I;U& b;UDI U;cI b5UI; U&>I U5Db;I cU>I IMb; M;I& b;VI cIV; IM;b5 bM>I V5bI",
+"; >IVc b2UG U2G& bUJ2 JUc2 UGb5 G5U& b5JU cUJ5 b2GM IM&G2 JbV2 V2cJ G5bM IM",
+"&G5 JbV5 VJc5 UGb; G;U& b;JU cUJ; bG5Ud bG>U J5bUd >UcJ GMb; IdM;& JbV; VJc",
+"; IdMb5 bG>M J5Vbd cJV> UIbN UNI& bUDIN UIcN bUIN. I&NU8 UDIbN. cU8IN QIbM ",
+"QIU& bQVI VQcI bQUIj IM&Q8 VbQIj sIVcQ bUI(N I&NU+ UDIb(N cU+IN UI(bN. U+8I",
+"&N UDbIN.( U+8cIN IM(bQ IM&+Q VbQI( cQV+I bQUIj( U+QI&j Ij(VbQ cQVsI+ UGbW ",
+"G&UW bWJU JUcW bGUW. bG8UW JbUW. cJUW8 UGbQ GQU& VJZb VZcJ bGQUj IM&W8 ZJVb",
+"j sJZVc bGUWd b+GUW JbUWd cJUgW bWUId. U+GbW8 bWUJd. gJUcW8 IdMbW IdMW& ZJV",
+"bd gVZcJ bWMIdj bW8IdM JjVZbd sJZgVc bUIm ImU& bmUDI UmcI b5UIm Im&U5 U5Dbm",
+"I c5UIm IMbm MmI& bmVI cIVm bMpI U&pI VbpI pIVc Im;bU Im&U+ UmDb;I cmU+I b5",
+"UIm; >ImU& Imb;U5D c>UIm IMmb; IMmb+ VmbI; cQ;VI pbUI; >MbpI VpbI; cpV>I UG",
+"bm GmU& bmJU cUJm bG5UW bG8Um J5bUW cJ5UW GMbm IMmG& JbVm VJcm bGpU UGp& pb",
+"VJ cJVp bGvU UGv& JbvU vUcJ vbUG5 v>bUG JvbU5 cvJ>U bGvM IMv& vbVJ cJVv pvb",
+"UG >MvbG JpVvb cJyV kF kF! kFB akF 1kF 8kF kF1B 1Fak kMF M!kF TkF TFak lF l",
+"8F lTF lsF k(F +kF (BkF +Fak k(1F 1F+k 1k(FB akF1+ M(kF kM+F k(TF +FTk l(F ",
+"l+F T(lF sFl+ Gk Gk! GkH Gak 1Gk G8k Gk1H Gk1a GkM kMG! GTk TkGa lG lG8 lGH",
+" lsG Gkd +Gk GHdk gkG Gk1d +k1G 1GHdk 1Ggk dkGM Gk+M TdGk GTgk lGd l+G GTld",
+" glG kF2 !Fk2 2BkF k2aF 5kF 5F8k kF5B 5Fak MFk2 kMF!2 kFT2 akFT2 l5F 58lF 5",
+"TlF sFl5 k;F +Fk; ;FkB aFk; 1Fk; >kF k;F1B ak>F kFM; k;M+F TFk; ak;TF l;F l",
+">F T;lF >Fls Gk2 k2G! G2Hk G2ak G5k 5kG8 H5Gk 5aGk kMG2 GkM!2 G2Tk GTka2 lG",
+"5 G5l8 G5lH l5sG Gk; G;+k HkG; Gkg; Gk1; >kG 1G;Hk >Ggk k;GM +GkM; TkG; gkG",
+"T; lG; l>G GTl; g>lG kFN !FkN NBkF kFaN kF1N kN8F 1kFNB akF1N QkF kFQ! QFTk",
+" QFak lQF Q8lF QTlF sFlQ (FkN kF+N k(FNB akF+N 1k(FN 1+kFN k(F1NB 1+FakN k(",
+"QF +FQk QkT(F +QkTF Q(lF +QlF lQT(F ls+QF GkW W!Gk GHWk WaGk Gk1W W8Gk 1GHW",
+"k 1GaWk GQk Q!Gk ZkG GaZk lGW GQl8 lZG sZlG GWdk Gk+W GkHWd GkgW 1GWdk 1+GW",
+"k GkH1Wd g1GWk QdGk GQ+k GkZd gGZk GQld +GlW ZGld lGgZ kmF k!mF mFkB aFkm 1",
+"Fkm 8Fkm kmF1B akm1F QFkm kmFQ! TFkm akmQF lpF p8lF pTlF sFlp m;kF +Fkm km;",
+"FB akm+F km;1F km>F 1mFk;B >kamF QFk; +QkmF Qk;TF ak;QF p;lF >Flp l;pTF l>p",
+"sF Gkm G!km HkGm akGm Gk1m 8kGm 1GmHk akm1G QkGm GQkm! GkZm ZkGam lGp l8pG ",
+"ZplG splG vkG +Gvk GkvH gGvk 1Gvk >Gvk v1GHk >kgvG GQvk vk+GQ ZGvk ZvkgG lv",
+"G p>lG ZvlG ylG 9kF k&F kF9B 9Fak 1k9F :kF 91kFB ak:F 9MF 9FM& 9FTk 9FaM l9",
+"F l:F 9TlF sFl: k(9F 9F+k 9k(FB akF9+ 91k(F +k:F 1k(9FB :+akF M(9F 9F+M 9Tk",
+"(F 9+TkF 9(lF :+lF l9T(F ls:+F 9Gk Gk& Gk9H Gk9a 91Gk :Gk 9G1Hk Ga:k 9GM G&",
+"9M GT9M Ga9M lG9 l:G 9GlH s:lG Gk9d +k9G 9GHdk 9Ggk 9G1dk +G:k 1GH9dk :Ggk ",
+"GM9d +G9M 9GTdk 9GgM 9Gld :Gl+ lG9Td lGg: kF92 &Fk2 9kF2B akF92 9F5k 5k:F 9",
+"5kFB :5akF MF92 k&FM2 9TkF2 9aMF2 95lF :5lF l95TF ls:5F 9Fk; kF;& k;F9B ak;",
+"9F k;F95 :k>F 95Fk;B :>akF 9FM; k;&MF 9T;kF aM;9F 9;lF >Fl: l;9TF l>s:F 92G",
+"k G2k& 9GHk2 9Gak2 Gk95 G5:k 9G5Hk :GH5k 92GM 9GM&2 9GTk2 9GaM2 9Gl5 l5:G l",
+"G9H5 lsG:5 Gk9; k;G& 9G;Hk g9Gk; 9G5dk :G>k G5k9H; g:>Gk GM9; k;&GM 9GTk; g",
+"9MG; 9Gl; :>lG lG;9H l>Gg: kF9N &FkN 9kFNB akF9N 91kFN kF:N 1kF9NB :akFN 9F",
+"Qk QFk& 9QTkF 9QakF 9QlF lF:Q l9QTF :QFls 9k(FN k&F+N k(F9NB 9+FakN 1k(9FN ",
+":+kFN 1k9(NBF akF:+N 9Qk(F 9+QkF Qk(9TF akF9+Q l9Q(F :Q+lF 9QTl(F ls+:QF Gk",
+"9W WkG& 9GHWk 9GaWk 9G1Wk Gk:W 1GH9Wk :GHWk GQ9M QkG& 9GZk GkZ& 9GlW :GlW Z",
+"9lG lGZ: 9GWdk dk&GW GkH9Wd g9GWk 1GW9dk :G+Wk 91GkHWd g:GWk 9GQdk dk&GQ Z9",
+"Gdk Zk&gG lG9Qd :GQl+ lZ9Gd glZ:G 9Fkm kFm& kmF9B akm9F kmF95 km:F 95FkmB :",
+"makF 9FMm km&QF 9TmkF aMm9F lFp9 lF:p p9lTF :plsF km;9F km&+F 9mFk;B akF9+m",
+" 95;kmF :>mkF km1;9FB >ka:mF 9Q;kF k;&QF kmF9T; akF9Q; l;p9F l>p:F p9Tl;F :",
+"psl>F Gk9m kmG& 9GmHk akm9G 9G5Wk Gk:m G5k9Hm :GmHk GM9m km&GQ Z9Gkm Zk&Gm ",
+"p9lG lG:p Zp9lG :pGlZ 9Gvk Gkv& v9GHk gv9Gk v91Gk vk:G 9G5vkH :vGgk 9GvM v9",
+"M+G Zv9Gk ZvkG& v9lG lG:v lvZ9G l:yG Ik Ik! DkI aIk 1UI 8Ik Dk1I Ua1I IkM I",
+"!kM VIk aIVk lI lI8 lIV lsI Ik( +Ik D(Ik Dk+I 1(Ik U+1I Ik(1D 1U+aI kMI( Ik",
+"+M IkV( +IVk lI( l+I VIl( sIl+ UGk U!Gk Jk Jka 1UG U81G J1U J8k IkGM IkMG! ",
+"JkV VaJk lGU UGl8 lJ lJs Idk +kUG Jkd gJk UG1d U+1G 1UJd J1gU dkIM Idk+M Vd",
+"Jk JkgV lId U+lG lJd glJ Ik2 I!k2 I2Dk I2ak 5Ik 8I5k Dk5I aI5k kMI2 IkM!2 I",
+"kV2 V2aIk lI5 5Il8 V5lI l5sI Ik; I;+k IkD; Ika; U;1I >kI Ik;1D Dk>I k;IM Ik",
+";+M IkV; V+Ik; lI; l>I V;lI lIV> U2Gk Ik2G! Jk2 akJ2 U51G 1UG58 J5k 5aJk Ik",
+"MG2 Gk2IM! V2Jk JkVa2 UGl5 lGU58 lJ5 J5ls GkU; Idk+; Jk; J;gk UG1; 1U>G 1UJ",
+"; J>k IdkM; +GkIM; V;Jk gVJk; UGl; >UlG lJ; J>l IkN I!kN DNIk aNIk 1NIk IN8",
+"k IkN1D 1UaIN QIk Q!Ik QIVk aIQk lIQ Q8lI VQlI lQsI k(IN +NIk Ik(DN +DkIN I",
+"k(1N 1U+IN 1D(IkN akN1+I Q(Ik QI+k VQIk( V+QIk QIl( +QlI VlQI( lsI+Q WIk W!",
+"Ik JkW WaJk UG1W 8IWk 1UJW W8Jk GkUQ UGQk! ZJk ZaJk lWI W8lI lJZ lZsJ IdWk ",
+"WI+k WkJd gWJk Idk1W IdkW8 J1UWd gJ1UW IdQk Idk+Q ZdJk ZJgk WIld +WlI ZJld ",
+"gZlJ Ikm I!km IkDm Ikam Um1I Ik8m Ikm1D akm1I ImQk IkmQ! IkVm VmaIk lIp l8p",
+"I lIVp splI kmI; Ik+m IkmD; akm+I Ikm1; Ik>m 1DmIk; >kDIm IkQ; Ikm+Q VmIk; ",
+"V+mIk pIl; p>lI VplI; V>lpI GkUm IkmW! Jkm akJm UG1m IkmG8 1UJm 8kJm IkmGQ ",
+"Ik!GMm JmZk ZJkam pUlG lGpU8 Jpl lsJp vIk +Ivk Jvk gkJv 1UvI vI>k v1Jk >kJv",
+" QIvk vIk+Q ZkJv VvJgk lvI v>lI lvJ ylJ tI tI& tDI tcI t1I t:I 1DtI :Itc tI",
+"M IMt& VtI tIVc ltI l:I VtlI uI tI( t+I DIt( c+tI 1It( :It+ t1DI( t:c+I IMt",
+"( +ItM VIt( tIV+ tIl( t+lI ltVI( u+I tG tG& tJ tJc tG1 t:G tJ1 :Jt tGM GMt&",
+" tJV VJtc ltG t:lG lJt uJ tGd t+G tJd gtJ 1Gtd :Gt+ J1td :Jgt GMtd +GtM VJt",
+"d tJgV tGld t+lG ldtJ uJg tI2 I&t2 DIt2 c2tI t5I :It5 5DtI tIc5 IMt2 IM&t2 ",
+"tIV2 tcVI2 t5lI l5:I tIV5 u5I t;I +It; D;tI tIc; 1It; t>I t5DI; >Itc IMt; t",
+"+IM; tIV; tc;VI t;lI lIt> t5VI; u>I tG2 G&t2 tJ2 c2tJ tG5 :Gt5 tJ5 t5:J GMt",
+"2 tGM&2 V2tJ tJVc2 t5lG t:Gl5 t5lJ uJ5 tG; +Gt; tJ; t;gJ 1Gt; t>G J1t; t>J ",
+"GMt; t+GM; VJt; tJ;gV tGl; lGt> l;tJ uJ> tIN I&tN DItN cItN 1ItN tN:I t1DIN",
+" t:cIN tQI QIt& VQtI tIcQ tQlI :QlI tQVlI uQI I(tN +ItN tDI(N tc+IN t1I(N t",
+":+IN 1DIt(N :cIt+N QIt( +QtI tQVI( tcQ+I tQIl( t:Q+I Vl(tQI +QuI tGW G&tW t",
+"JW cJtW 1GtW :GtW J1tW tW:J tGQ GQt& tZJ ZctJ tGlW :GtQ lJtZ uZJ WItd +GtW ",
+"JWtd tWgJ tG1Wd t:G+W tJ1Wd gtJ:W GQtd +GtQ ZJtd gZtJ tGQld t:G+Q lJZtd gZu",
+"J tmI Imt& DmtI tIcm 1Itm :Itm t5DIm t:mcI QItm tQIm& tIVm tcQIm tpI lI:p p",
+"IVt upI Imt; +Itm tmDI; tcm+I t5Im; >Itm 1Dmt;I t>cIm QIt; t+QIm tQ;VI tcQI",
+"; pIt; pIt> tpVI; p>uI tGm Gmt& tJm cJtm 1Gtm :Gtm J1tm tm:J GQtm tGQm& ZJt",
+"m tJmZc tpG tG:p tpJ uJp tvG vIt+ tvJ tJcv v1tG tG:v t5Jv :Jtv vItQ tv+GQ t",
+"JVv cvVtJ lGtv lI:v Jptv yuJ e e! eB ae e. 8e e.B 8ea eK eK! Te Tea ej 8ej ",
+"Tej se e* +e *Be +ea e*. +e8 e.*B ae8* e*K +eK Te* +Te ej* +ej ejT* se+ Ge ",
+"Ge! He Gae Ge. G8e He. H8e GeK eKG! GTe TeGa Gje 8eGj Hej sGe f f+ fH gf f.",
+" f8 fH. gf8 fK f+K fT gfT fj f8j fTj sf e2 e2! e2B ae2 5e 5e8 5eB 5ae e2K 2",
+"Ke! Te2 T2ae 5ej 58ej 5Te se5 e; +e; e;B ae; 5e; >e *B5e >ea e;K +Ke; Te; T",
+";+e e;j >ej Te5* >es Ge2 e2G! He2 G2ae G5e 5eG8 H5e 5aHe e2GK Ge2!K G2Te ae",
+"2GT 5eGj G58ej 5THe G5se f; f+; fH; gf; f5 f> f5H f>g f;K +;fK fT; g;fT f5j",
+" f>j f5T sf> eN eN! eNB aeN eN. 8eN .BeN aN8e Qe Qe! QeT Qae Qej Q8e QTej s",
+"eQ e*N +eN eN*B +Nae *Ne. +N8e *BeN. aeN8* Qe* +Qe TeQ* Qa+e ejQ* Q8+e ej*Q",
+"T +Qse We We! HeW Wae We. W8e H.We W8He GQe Q!We Ze Zea Wej Q8We Zej sZe fW",
+" f+W fHW gfW fW. f8W HWf. gWf8 fQ fQ+ Zf Zfg fQj fQ8 Zfj sfZ em em! emB aem",
+" 5em 8em 5Bem ae8m Qem Q!em Tem aeTm pe pe8 peT spe em; +em *Bem ae+m em5* ",
+">em em;5B ae>m Qe; Qe+m TeQ; Te+m pe; >ep Tep* sp>e Gme W!em Hem aeGm 5We W",
+"85e 5WHe Wa5e QeGm em!GQ Zem aeZm pGe G8pe Zpe Zpse fv fv+ fvH gfv fv5 f>v ",
+"vHf5 gvf> fvQ v+fQ Zfv gvZf fp fp> fpZ yf ,e e& ,eB ,ae ,e. ,8e e.,B 8e,a ,",
+"eK e&K ,Te Te& ,je e&j Te,j se& ,e* -e ,e*B -ae e*,. -8e *Be,. 8e-a e*,K -e",
+"K ,eT* -Te ,e*j -je ej*,T s-e ,G ,G& ,GH ,Ga ,G. ,G8 ,.He G8,H ,GK ,KG& ,GT",
+" GT,a ,Gj G8,j GT,j sG, f, f- fH, gf- f,. f-8 ,Hf. f8g- f,K f-K fT, f-T fj,",
+" f-j ,Hfj sf- ,e2 e&2 e2,B ,2ae ,5e 5e& ,B5e 5e,a e2,K &2eK ,2Te T2e& 5e,j ",
+"ej5& 5e,T ,5se ,;e -e; ,Be; ae-; 5e,; >e- e;B,5 -a>e ,Ke; e;-K Te,; Te-; e;",
+",j -j>e e;j,T >es- ,G2 ,2G& ,2He ,2Ga ,G5 G5,8 G5,H G5,a G2,K e&2GK ,2GT ,G",
+"T&2 G5,j e&jG5 G5,T ,Gs5 f;, f-; ,Hf; g;f- f5, f>- ,Hf5 g-f> ,;fK fK-; ,Tf;",
+" f;-T ,5fj ->fj ,5fT f>s- ,eN e&N eN,B ,Nae eN,. ,N8e ,eN.B aeN,8 ,Qe Qe& Q",
+"e,T Qe,a Qe,j Qe,8 ,QTej ,Qse e*,N -eN *Be,N ae-N ,e*N. 8e-N ,eN*B. -8aeN ,",
+"eQ* -Qe ,QTe* Qa-e ej*,Q Q8-e ,QTej* -Qse ,GW We& He,W Ga,W ,.We G8,W ,GHW.",
+" ,G8Wa ,GQ G&,Q Ze, Ze& GQ,j GQ,8 ,GZj Zes, fW, f-W ,HfW -Wgf ,Wf. -Wf8 fHW",
+",. f-Wg8 fQ, f-Q Zf, Z-f ,Wfj -Wfj fjZ, Z-sf ,me em& ,Bem ae,m 5e,m 8e,m em",
+"B,5 aem,5 Qe,m emQ& Te,m emT& pe, pe& ,Tpe pes, em,; -me em;,B ae-m em;,5 -",
+"m>e ,5em*B >e-am Qe,; Qe-m ,Q;Te Te-m ,;pe -pe peT,; se-p ,Gm G&,m Gm,H Ga,",
+"m G5,W G8,m ,G5Hm em&H5 GQ,m em&GQ ,GZm emZ& pG, ,Gp& pGZ, pGs, fv, -vf fHv",
+", gf-v v,f5 -vf> fvH,5 f>g-v v,fQ fQ-v fvZ, -vZf fp, fp- Z,fp yf- Ie Ie! De",
+" Dea Ie. 8Ie De. D8e IeK I!eK DeT aITe Ije Ij8e Dej sIe I* +Ie De* +De I*. ",
+"8I* D.I* D8+e I*K +KI* TI* De+T I*j I*+j I*Dj sI* GIe IeG! Je Jae IeG. GI8e",
+" Je. J8e IeGK GIe!K JTe TeJa GIej IjeG8 Jje sJe fI f+I Jf gJf fI. f8I Jf. J",
+"f8 fIK +IfK JfT fTgJ fjI +Ifj Jfj sfJ Ie2 I!e2 De2 I2ae 5Ie 8I5e 5De D85e e",
+"2IK Ie2!K I2Te ae2TI Ij5e Ije58 De5T 5Dse I;e I;+e De; D;+e 5I* >eI De5* >e",
+"D IKe; I;e+K TeD; ae;TI Ij5* I*>j TI5* sI>e IeG2 GIe!2 Je2 aeJ2 GI5e G58Ie ",
+"J5e 5aJe GIe2K Ie2GK! TeJ2 JTae2 IjeG5 G58Ije 5TJe J5se fI; +If; Jf; J;gf f",
+"5I f>I Jf5 J>f I;fK f+I;K fTJ; JfTg; 5Ifj >Ifj f5Jj J>sf IeN I!eN DeN DNae ",
+"eNI. IN8e eND. DN8e QIe IeQ! QDe DeQa IjQe 8IQe DjQe QDse I*N +NI* DNI* +ND",
+"e *NI. IN8* I*ND. +De8N QI* QI+e DeQ* QD+e IjQ* 8IQ* I*jQD QIs* WIe IeW! JW",
+"e WaJe IeW. 8IWe WeJ. W8Je QIWe GQIe! ZJe JaZe IjWe GQ8Ie JjZe ZJse fWI +Wf",
+"I JfW gWJf WIf. W8fI fWJ. JWf8 fQI +QfI ZfJ gJZf WIfj Q8fI JjZf ZfsJ Ime I!",
+"em Dem aeDm Im5e Im8e Dm5e 8eDm ImQe ImeQ! DmQe aemQD pIe 8Ipe pDe pDse Im*",
+" Im+e ImD* De+m Im5* Im>e Im*5D De>m ImQ* Im*+Q DeQ; ae;QD pI* pI>e Dep* pD",
+">e ImWe ImeW! Jme aeJm WI5e G8mIe 5WJe 8eJm ImeGQ GQIem! JmZe ZJaem WIpe pG",
+"8Ie Jpe seJp fvI f+vI Jvf gfJv vIf5 vIf> fvJ5 f>Jv vIfQ fv+QI JvZf ZfJgv fp",
+"I pIf> Jpf yJf h h& hD hc h. h8 hD. hc8 hK h&K hT hcT hj h8j hTj hs h* h- h",
+"D* hc- h*. h-8 D*h. c-h8 h*K h-K hT* h-T hj* h-j D*hj hs- hG hG& hJ hJc hG.",
+" h8G hJ. hJ8 hGK G&hK hJT cJhT hjG G8hj hJj hsJ hf hf- hJf i hf. hf8 h.Jf i",
+"8 hfK hKf- hfT iT hfj f-hj Jfhj is h2 h&2 hD2 hc2 h5 h58 h5D hc5 h2K &2hK h",
+"T2 c2hT h5j 5&hj h5T hs5 h; h-; h;D hc; h5; h> 5Dh; h>c h;K -;hK hT; c;hT h",
+";j h>j 5Th; hs> hG2 G&h2 hJ2 h2cJ h5G G5h8 hJ5 cJh5 G2hK hG&2K JTh2 cJTh2 G",
+"5hj h5G&j J5hT h5sJ hf; f-h; hJ; i; hf5 h>f Jfh5 i> f;hK f-;hK J;hT iT; f5h",
+"j hjf> J;hj is> hN h&N hDN hcN hN. h8N DNh. c8hN hQ hQ& hQD hcQ hQj hQ8 QDh",
+"j hsQ h*N h-N D*hN hNc- *Nh. -8hN hD*N. c-8hN hQ* h-Q QDh* c-hQ Q*hj -Qh8 h",
+"QD*j hQs- hW hW& hJW hcW hW. hW8 JWh. cWh8 hWQ GQh& hZ hZc hWj GQh8 hZj hZs",
+" hfW h-W JfhW iW fWh. f8hW JfWh. iW8 hfQ f-hQ hZf iZ fQhj fQh8 hjZf iZs hm ",
+"hm& hmD hcm h5m h8m 5Dhm c5hm hQm Q&hm hTm cQhm hp hp8 hpD hps hm; h-m Dmh;",
+" c-hm 5*hm h>m h5Dm* hmc> hQ; -Qhm QDh; cQh; hp; hp- pDh; cph> hWm Gmh& hJm",
+" cJhm h5W G8hm J5hW c5hW GQhm hWQm& hZm hmZc hpG pGh8 hZp cphZ hv hv- hvJ i",
+"v hv5 hv> h5Jv iv> hvQ hQ-v hZv iZv hpf fph> Jphv yi e0 e0! e0B ae0 1e 1e8 ",
+"1eB 1ae e0K !Ke0 Te0 T0ae 1ej 18ej 1Te se1 e*0 +e0 e0*B +0ae 1e* 1+e *B1e +",
+"e1a *0eK e0+K e*T0 +0Te ej1* +j1e Te1* 1+se Ge0 e0G! He0 G0ae 1Ge G81e 1He ",
+"Ga1e e0GK Ge0!K G0Te ae0GT Gj1e 1G8ej GT1e 1Gse f0 f+0 fH0 gf0 f1 f1+ f1H g",
+"f1 f0K +0fK fT0 g0fT f1j 1+fj f1T sf1 e02 !0e2 2Be0 e2a0 1e5 158e 1B5e 5a1e",
+" 2Ke0 e02!K e0T2 ae0T2 15ej 1e58j 5T1e 1es5 e;0 +0e; ;0eB a0e; 1e; >e1 1Be;",
+" 1a>e ;0eK e;0+K T0e; ae;T0 ej1; 1e>j Te1; s1>e e0G2 Ge0!2 e0H2 ae0G2 G51e ",
+"1G58e H51e 1Ga5e Ge02K e02GK! GTe02 GT0ae2 1G5ej G581ej 1GT5e se1G5 f;0 +;f",
+"0 H;f0 f;g0 f15 f>1 1Hf5 g1f> ;0fK f+;0K T;f0 fT;g0 1;fj >jf1 1Tf5 f1s> e0N",
+" !0eN 0BeN e0aN 1eN 1N8e eN1B 1Nae Qe0 e0Q! Q0Te Q0ae 1Qe Q81e Qe1T 1Qse *0",
+"eN e0+N *Be0N ae0+N e*1N 1N+e 1e*NB 1+eaN e*Q0 +0Qe QeT*0 +QeT0 Qe1* +Q1e 1",
+"QeT* se1+Q We0 e0W! H0We W0ae 1We W81e He1W Wa1e G0Qe GQe!0 Ze0 aeZ0 GQ1e 1",
+"GQ8e Z1e Z1se fW0 +Wf0 HWf0 fWg0 f1W 1+fW 1HfW gWf1 fQ0 +Qf0 Zf0 g0Zf f1Q 1",
+"+fQ Zf1 g1Zf em0 e!m0 m0eB a0em 1em 8e1m 1Bem ae1m Q0em em0Q! T0em aemQ0 pe",
+"1 1ep8 1Tpe s1pe e0m* +0em em;0B aem+0 em1; 1e>m 1em*B >e1am Q0e; +Qem0 Qe;",
+"T0 ae;Q0 1ep* p1>e pe1T; >eps1 G0em em0W! H0em aemG0 Gm1e 1Gm8e He1m aem1G ",
+"em0GQ GQ0em! emZ0 Zeam0 1Gpe pG81e peZ1 Zpes1 fv0 v+f0 vHf0 g0fv fv1 v>f1 f",
+"Hv1 fvg1 vQf0 fv+Q0 Z0fv Zfgv0 fp1 p>f1 Z1fp yf1 9e 9e& 9eB 9ae ,1e :e ,B1e",
+" :ea 9eK 9Ke& 9Te Te9a 9ej :ej 1T9e s:e 9e* -9e *B9e 9a-e 1e9* :-e ,1e*B -a",
+":e e*9K 9e-K Te9* 9T-e ej9* -j:e ,1Te* :-se ,G9 G&9e 9He 9G,a ,1G :Ge 1G,H ",
+":He ,K9G e&K9G 9G,T ,GT9a 9G,j ,G:j 1G,T :Gse f9 f-9 f9H gf9 f91 :f ,1fH :f",
+"g f9K fK-9 f9T fTg9 f9j :fj ,1fT sf: 9e2 92e& e29B 92ae 95e :e5 9B5e 5a:e e",
+"29K e&29K 92Te 9Te&2 5e9j 5e:j 5T9e s5:e 9e; 9e-; 9Be; ae9; 1e,; >e: ,1;eB ",
+":a>e 9Ke; -9e;K Te9; -T9e; e;9j >j:e e;j9T s:>e ,29G e&29G 92He ,Ga92 9G,5 ",
+",G:5 H59e H5:e ,G92K 9G2e&K ,GT92 ae29GT ,1G5j :G5,j ,1G5T :Hes5 f9; -9f; 9",
+"Hf; g;f9 f95 :f> 9Hf5 f>g: 9;fK f-9;K 9Tf; f-T9; 95fj fj:> 95fT s:f> 9eN 9N",
+"e& eN9B 9Nae ,N1e :eN ,1eNB ae:N 9Qe Q&9e Qe9T Qa9e 1Q9e :Qe ,1QTe :Qse e*9",
+"N 9e-N 9e*NB -9aeN ,1e*N -e:N 1eN9*B :-aeN Qe9* 9Q-e 9QeT* -Q9Te ,1Qe* -Q:e",
+" 1Qe9T* s-:Qe 9We W&9e He9W Wa9e 1G,W :We ,1GHW He:W 9G,Q ,GQ9& Z9e 9aZe 1G",
+",Q ,G:Q ,1Ze Z:e f9W -Wf9 9HfW gWf9 ,1fW :fW f91HW :Wgf f9Q -Qf9 Zf9 g9Zf ,",
+"1fQ :fQ f9Z1 Z:f 9em e&9m 9Bem ae9m 1e,m :em ,1meB ae:m Qe9m em&9Q Te9m aem",
+"9Q p9e :pe 9Tpe se:p em9; 9e-m 9em*B -m9ae ,1me; :m>e emB,1; :-mae Qe9; -Q9",
+"em 9QeT; -Tm9e 9ep* >e:p p9eT; -ps:e 9G,m em&9G He9m aem9G 1G,m ,G:m ,1GHm ",
+"He:m ,GQ9m 9GQem& 9eZm Z9eam ,1pG pG:e p9Ze Ze:p fv9 f9-v fHv9 fvg9 v9f1 :f",
+"v fv91H gf:v v9fQ -vf9Q fvZ9 Zf9-v fp9 :fp Z9fp y:f Ie0 I!e0 De0 D0ae 1Ie 8",
+"I1e 1De D81e e0IK Ie0!K D0Te ae0TI Ij1e Ije18 De1T 1Dse I*0 +0I* D0I* +0De ",
+"1I* +I1e De1* +D1e *0IK I*0+K T0I* +DeT0 Ij1* I*j1+ TI1* 1Is* IeG0 GIe!0 Je",
+"0 aeJ0 GI1e 1G8Ie J1e 1aJe GIe0K Ie0GK! TeJ0 JTae0 Ije1G 1G8Ije 1TJe J1se f",
+"I0 +If0 Jf0 g0Jf f1I 1+fI Jf1 Jfg1 I0fK f+I0K J0fT JfTg0 1Ifj f1+Ij f1Jj J1",
+"sf e0I2 Ie0!2 e0D2 ae0I2 5I1e 1I58e 5D1e 1De5a Ie02K e02IK! DeT02 TI0ae2 Ij",
+"e15 5I81ej 1De5T sI15e I0e; I;e+0 D0e; ae;D0 5I1* 1I>e De1; 1D>e I;e0K +I0e",
+";K De;T0 ae0TI; I;j1e >I1ej e;j1D sI*>1 GIe02 Ie0G2! e0J2 Jae02 1G5Ie G581I",
+"e 1eJ5 J158e Ie0G2K !0I2GeK JTe02 ae0JT2 1G5Ije 8eGj1I5 J15Te sJ15e I;f0 f+",
+"I;0 f;J0 Jf;g0 1If5 >If1 f1J5 J1f> fI;0K I;0f+K JfT;0 fT;gJ0 f15Ij f>1Ij Jf",
+"15T J>sf1 e0IN Ie0!N e0DN ae0DN Ie1N 1I8eN 1NDe 1DeaN IeQ0 QIe!0 Q0De QDea0",
+" QI1e 1QI8e QD1e sI1Qe *0IN I*0+N I*0DN +De0N 1NI* 1+IeN 1De*N 1+DeN Q0I* +",
+"QIe0 QDe*0 +QDe0 QI1* 1+QI* 1QDI* sI*1Q IeW0 WIe!0 WeJ0 JWae0 WI1e 1WI8e 1W",
+"Je J1W8e GQIe0 QI0We! JeZ0 ZJae0 1GQIe W8I1Qe J1Ze sJZ1e WIf0 f+WI0 fWJ0 Jf",
+"Wg0 1WfI f1+WI JWf1 Jf1gW QIf0 fQ+I0 Z0Jf ZfJg0 1QfI f1Q+I JfZ1 Zf1sJ I0em ",
+"Ime!0 D0em aemD0 Im1e 1Im8e De1m aem1D ImeQ0 QI0em! QDem0 ae0TIm 1Ipe pI81e",
+" 1Dpe pDes1 I0m* Im*+0 Im*D0 am*I0 Im1* >I1em Im*1D >eD1m Im*Q0 Im0+Qe Im*T",
+"0 ae0QD; 1Ip* >ep1I pDe1; sI*p1 ImeG0 WI0em! emJ0 Jmae0 1GmIe W8I1em 1eJm J",
+"1m8e GQIem0 ImQeW!0 ZJem0 JmaZe0 pG1Ie 1WIpe8 peJ1 Jps1e f0vI fv+I0 J0fv Jv",
+"gf0 vIf1 f>v1I fvJ1 J>fv1 fvQI0 vI+fQ0 ZfJv0 JvgZf0 pIf1 fp>1I J1fp Jfy1 h9",
+" h9& h9D hc9 h1 h: h1D h:c h9K 9&hK hT9 c9hT h1j h:j h1T hs: h9* h-9 9Dh* h",
+"9c- h1* h:- 1Dh* :ch- 9*hK -9hK 9Th* h9-T 9*hj :-hj 1Th* s-h: h9G 9Gh& hJ9 ",
+"J9hc h1G h:G hJ1 :Jh 9GhK h9G&K J9hT cJ9hT 9Ghj :Ghj J9hj :Jhs hf9 f9h- Jf9",
+" i9 hf1 :fh Jfh1 i: hKf9 f-9hK f9hT i9T f9hj hj:f f9Jj is: h92 9&h2 9Dh2 c2",
+"h9 h15 h:5 95hD :ch5 92hK h9&2K 9Th2 hc9T2 95hj :5hj 95hT s:h5 h;9 -9h; 9Dh",
+"; h9c; h1; h>: 1Dh; c>h: 9;hK h-9;K 9Th; hc;9T 9;hj :>hj 1Th; s:h> 9Gh2 h9G",
+"&2 h2J9 cJ9h2 9Gh5 :Gh5 J9h5 h5:J h9G2K 9G&h2K J9Th2 hcTJ92 h1G5j h:G5j J95",
+"hT hsJ:5 f9h; f-9h; J9h; i9; f9h5 :fh> J1h; i:> f9;hK h-;f9K Jf9T; 9Ti; f95",
+"hj h>:fj Jf95T s:i> h9N 9&hN 9DhN c9hN h1N h:N 1DhN hN:c hQ9 9Qh& 9QhT h9cQ",
+" h1Q h:Q 1QhT s:hQ 9*hN -9hN h9D*N c-9hN 1*hN hN:- h1D*N h:c-N 9Qh* h9-Q hQ",
+"9D* c-Qh9 1Qh* :-hQ h1QD* h:Qs- hW9 9Wh& J9hW h9cW h1W h:W J1hW hW:J 9GhQ h",
+"W9Q& hZ9 Z9hc 9Whj :GhQ hZ1 hZ: f9hW h9-W JWf9 i9W f1hW hW:f Jf91W i:W f9hQ",
+" f-Qh9 Z9hf iZ9 f1hQ hQ:f h1Zf iZ: hm9 9mh& 9Dhm h9cm h1m h:m 1Dhm :chm 9Qh",
+"m hQ9m& 9Thm hcQ9m hp9 hp: p9hT h:cp 9mh; h9-m hm9D; c-mh9 1mh; :-hm h1mD; ",
+"h:mc> 9Qh; h-Q9m hQ;9D cQ;h9 p9h; h:-p hp9D; cp-h: 9Ghm hW9m& J9hm cJmh9 95",
+"hW :Ghm J1hm hm:J hW9Qm 9GQhm& Z9hm hZc9m p9hW hW:p h1Jp Z:hp hv9 v9h- J9hv",
+" iv9 hv1 hv: h1Jv i:v v9hQ hv-9Q Z9hv Zvi9 h1fp :fhp Zvh1 yi: eL eL! eLB ae",
+"L eL. 8eL .BeL 8Lae Me Me! TeM aMe Mej 8Me TMej seM e*L +eL eL*B +Lae *Le. ",
+"+L8e *BeL. aeL8* Me* +Me MeT* Te+M ejM* 8M+e Me*Tj +Mse GeL eLG! HeL GLae e",
+"LG. GL8e eLH. HL8e GMe G!Me HMe aMHe MeGj 8eGM MeHj GMse fL f+L fHL gfL fL.",
+" f8L HLf. gLf8 fM fM+ fTM gfM fMj f8M HMfj sfM eL2 !Le2 2BeL e2aL 5eL 5L8e ",
+"eL5B 5Lae Me2 M!e2 T2Me M2ae 5Me 8M5e Te5M 5Mse e;L +Le; ;LeB aLe; 5Le; >eL",
+" e;L5B ae>L Me; M;+e MeT; Mea; Me5* >Me Me;5T se>M eLG2 GeL!2 eLH2 aeLG2 GL",
+"5e G58eL HL5e G5aeL G2Me Me2G! H2Me aMeG2 5eGM G5M8e 5MHe se5GM f;L +;fL H;",
+"fL f;gL f5L f>L H5fL >Lgf fM; +Mf; HMf; g;fM f5M f>M H5fM >Msf eLN !LeN NBe",
+"L eLaN N.eL eN8L eLN.B aeL8N QeM Q!Me QTMe aMQe QMej 8MQe MejQT QesM *LeN e",
+"L+N *BeLN aeL+N e*LN. +e8LN eLN*B. 8eLa*N MeQ* Qe+M Me*QT aMe+Q Me*Qj +Qe8M",
+" QeTM*j se+QM WeL eLW! HLWe WLae eLW. WL8e HeWL. H8eWL WMe W!Me ZeM aMZe Me",
+"Wj 8MWe MeZj sMZe fWL +WfL HWfL fWgL WLf. W8fL fHWL. f8WgL fQM +WfM ZfM gMZ",
+"f WMfj W8fM ZMfj fMsZ emL e!mL mLeB aLem 5Lem 8Lem emL5B aem5L Mem M!em MeT",
+"m Meam peM 8Mpe TepM sMpe eLm* +Lem em;LB aem+L em;5L em>L 5eLm*B >eamL MeQ",
+"; Me+m MemT; aMe+m Mep* pe>M peTM; >Mesp GLem emLW! HLem aemGL 5LWe G8meL H",
+"5eWL H8emL MeGm MemW! MeZm ZeaMm GMpe pG8Me ZMpe ZpesM fvL v+fL vHfL gLfv v",
+"5fL >Lfv fvH5L f>gvL fvM f+vM fMZv fvgM fpM >Mfp fMZp yfM ,eL e&L eL,B ,Lae",
+" eL,. ,L8e ,eL.B aeL,8 ,Me Me& Te,M ae,M Me,j 8e,M Mej,T ,Mse e*,L -eL *Be,",
+"L ae-L ,e*L. 8e-L ,eL*B. -8aeL ,eM* -Me Me*,T Te-M Me*,j 8M-e ,TMej* -Mse ,",
+"GL ,LG& ,LHe ,LGa GL,. ,LG8 ,GHL. ,G8HL ,GM G&,M GT,M Ga,M GM,j G8,M ,GTMj ",
+",GsM f,L f-L ,HfL gLf- ,Lf. -8fL fH,L. f-8gL fM, f-M ,HfM f-gM ,Mfj -Mf8 fT",
+"M,j fMs- eL,2 &Le2 ,eL2B aeL,2 ,L5e 5Le& ,5eLB ,5aeL ,2Me M2e& Me2,T aMe,2 ",
+"5e,M Me5& ,5TMe se5,M ,Le; e;-L e;L,B ae;-L e;L,5 -e>L ,5Le;B >e-aL Me,; Me",
+"-; Me;,T -TMe; Me;,5 -M>e ,5TMe; s->Me GL,2 e&LG2 ,GHL2 ,GaL2 ,LG5 ,G58L ,G",
+"5HL ,G5aL ,2GM Me&G2 ,GTM2 Me&H2 G5,M Me&G5 ,G5HM sG,5M ,;fL -;fL fH;,L f-;",
+"gL ,5fL >Lf- f5H,L f>g-L ,Mf; f;-M fTM,; f-TM; ,5fM f->M f5T,M f>Ms- eL,N &",
+"LeN ,eLNB aeL,N ,eLN. e&L8N eLN,.B ,8LaeN Qe,M MeQ& ,QTMe aMe,Q Mej,Q Me&Q8",
+" ,QTMej seM,Q ,e*LN eL-N ,eL*BN -aeLN e*L,N. -8eLN NB*L,e. aeL-8N Me*,Q Qe-",
+"M ,QTMe* -QTMe ,QMej* -Q8Me QMej,T* s-QMe ,LWe WLe& ,GHWL ,GaWL ,GWL. ,G8WL",
+" HeL,W. aeL,W8 GQ,M MeW& ,GZM MeZ& ,GQMj Me&W8 ZeM,j Ze&sM ,WfL fL-W fHW,L ",
+"f-WgL fW,L. f-W8L ,HWfL. gf8-WL ,WfM -WfM fMZ, fMZ- fQM,j f-Q8M ZfM,j sfZ-M",
+" ,Lem eLm& emL,B aem,L emL,5 em&5L ,5LemB aeL,8m Me,m emM& Mem,T aMe,m ,Mpe",
+" Mep& peT,M pe&sM em;,L em-L ,mLe;B -maeL ,5em*L >e-mL 5m*B,eL -ma>eL Mem,;",
+" Me-m ,TmMe; -TmMe peM,; pe-M Me;p,T -psMe ,LGm em&GL ,GmHL em&HL ,G5WL ,G8",
+"mL emL,H5 aeL,5W GM,m MemG& ZeM,m Ze&Mm ,GpM pG&,M Zpe,M ZpeM& fLv, fL-v fv",
+"H,L -vgfL fv5,L f>-vL v,Hf5L -vgf>L v,fM fM-v Zfv,M -vMZf p,fM fM-p fpZ,M f",
+"-yM Ue Ue! UeD Uae Ue. U8e U.De D8Ue UeM U!Me Ve Vea Uej 8MUe Vej seV Ue* U",
+"+e DeU* +DUe U.I* +eU8 I*.UD U+eD8 IM* +MUe Ve* V+e I*Uj +eUj I*Vj V+se UGe",
+" GeU! JUe UaJe GeU. G8Ue UeJ. U8Je GMUe IM!Ge VJe JaVe GjUe UG8Me VeJj VJse",
+" fU fU+ JfU gfU fU. fU8 J.fU fUJ8 fUM U+fM Vf Vfg fUj U+fj Vfj sfV Ue2 e2U!",
+" U2De U2ae U5e 5eU8 5DUe 5aUe U2Me IM2e! Ve2 aeV2 5MUe U5e8M V5e V5se Ue; +",
+"eU; DeU; aeU; 5IU* >eU U5eD; Ua>e MeU; IM;+e Ve; +eV; IM5* Ue>M 5IV* V>e Ge",
+"U2 UGe!2 UeJ2 JUae2 G5Ue UG58e U5Je J5U8e IM2Ge UG2Me! JeV2 VJae2 UG5Me G5M",
+"U8e VeJ5 seVJ5 fU; U+f; fUJ; g;fU fU5 f>U fUJ5 gUf> U;fM fU+M; Vf; V;gf U5f",
+"M fU>M Vf5 Vf> UeN eNU! UNDe UNae eNU. UN8e UeDN. U8eDN UQe Q!Ue VeQ QaVe Q",
+"eUj Q8Ue QeVj sQVe UNI* UN+e I*NUD U+eDN I*NU. U+e8N DeNU*. aeNU8* QIU* +QU",
+"e QIV* +QVe IM*Qj IM*Q8 VeQ*j sI*VQ UWe U!We UWJe WaUe U.We W8Ue JUWe. J8UW",
+"e GQUe UGQe! ZeV ZaVe WeUj UGQ8e ZjVe VZse fUW U+fW JWfU gWfU UWf. UWf8 JfU",
+"W. Jf8UW fUQ U+fQ VfZ ZfgV UWfj UQf8 fjVZ sZVf Uem U!em DeUm aeUm 5eUm 8eUm",
+" U5eDm aemU5 QeUm IMme! Vem aeVm pUe U8pe Vpe seVp ImU* +eUm Im*UD aemU+ Im",
+"*U5 Ue>m 5DeUm* >eUDm QeU; IMm+e QeV; +eVm Uep* pU>e pIV* >eVp GmUe UGme! U",
+"eJm JmUae 5WUe UG8em J5UWe J8mUe IMmWe Im!WMe VeJm ZeVam UGpe pUG8e ZeVp Jp",
+"Vse fvU f+vU fUJv fvgU vUf5 v>fU JvfU5 J>fvU vUfQ fvU+Q Vfv gfVv fpU p>fU f",
+"pV yVf hU hU& hUD hcU hU. h8U UDh. cUh8 hM hM& Vh Vhc hMj h8M Vhj hsV hU* h",
+"-U U*hD -Uhc U*h. -Uh8 hUD*. c-Uh8 hM* h-M Vh* V-h U*hj -Uhj V*hj V-hs hUG ",
+"UGh& hJU hUcJ UGh. UGh8 JUh. hUJ8 hMG GMh& VhJ cJVh UGhj G8hM JjVh VhsJ hfU",
+" f-U fUhJ iU h.fU fUh8 JfUh. iU8 hfM f-hM Vfh iV fUhj f8hM hjVf iVs hU2 U&h",
+"2 UDh2 c2hU h5U U5h8 U5hD hUc5 hM2 M&h2 Vh2 h2Vc h5M 5Mh8 Vh5 c5Vh h;U -Uh;",
+" U;hD hUc; U5h; h>U h5UD; >Uhc hM; -Mh; Vh; h;V- U;hj h>M V5h; h>V UGh2 hUG",
+"&2 JUh2 cJUh2 UGh5 h5UG8 hUJ5 cJ5hU GMh2 hMG&2 h2VJ VhJc2 G5hM h5MG8 J5Vh V",
+"h5sJ fUh; f;-U hUJ; iU; fUh5 fUh> Jf5hU i>U fMh; f-UM; h;Vf iV; f5hM hf>M h",
+"5Vf iV> hUN U&hN UDhN cUhN UNh. U8hN hUDN. hcU8N hQU UQh& VhQ cQVh UQhj UQh",
+"8 VQhj VshQ U*hN hN-U hUD*N c-UhN hU*N. -U8hN U*DhN. hc8-UN UQh* -UhQ V*hQ ",
+"hQV- hQU*j -UQh8 VhQ*j V-hsQ hWU UWh& JUhW hUcW UWh. UWh8 hJUW. hJ8UW hWM W",
+"Mh& hZV VhZc UWhj W8hM VZhj sZVh fUhW -UhW JfUhW iUW fUWh. f-UW8 hJWfU. UWi",
+"8 fUhQ -UfQ VfhZ iZV fUQhj f-UWj VfZhj sZiV hmU Umh& UmhD hUcm U5hm U8hm h5",
+"UDm hc5Um hMm Mmh& Vhm cmVh hpU pUh8 hpV Vphs Umh; -Uhm hmUD; c-mhU h5Um* >",
+"Uhm U5*hmD h>cUm UQh; -Mhm Vmh; hmV- pUh; >Mhp h;Vp V-hp UGhm hWUm& hUJm cJ",
+"mhU U5hW h5WU8 hJ5UW c5WhU GMhm hWMm& JmVh VhmZc pUhW hpUG8 VphZ cpJVh hvU ",
+"fU-v vUhJ ivU vUh5 vUh> hvJU5 v>iU hvM hM-v hvV iVv hMfp >Mhv Vfhp yiV ke k",
+"e! keB ake 1ek 8ke 1Bke ak1e keM M!ke Tke akTe le le8 leT lse ke* +ke *Bke ",
+"ak+e ke1* +k1e ke*1B ake1+ Mek* ke+M keT* Tk+e le* l+e Tel* sel+ Gke G!ke H",
+"ke akHe Gk1e 8eGk Hk1e 8kHe keGM keMG! TkHe akeGT lGe G8le lHe sGle fk fk+ ",
+"fkH gfk f1k f8k 1Hfk f1gk fkM +kfM fTk fTgk lf lf+ lfH glf ke2 k!e2 e2kB k2",
+"ae 5ke 8k5e 5Bke ak5e k2Me keM!2 T2ke akeT2 le5 5el8 5Tle l5se ke; k;+e kBe",
+"; kea; ke1; >ke ke;1B ak>e Mek; ke;+M keT; akeT; le; l>e Tel; >els G2ke ke2",
+"G! H2ke akeG2 5eGk G5k8e 5kHe akeG5 keMG2 Gk2Me! GTke2 ak2HMe G5le lG58e H5",
+"le lsG5e fk; +kf; Hkf; g;fk f5k f>k H5fk gf>k k;fM fk+M; Tkf; fTkg; lf5 lf>",
+" f5lH l>sf keN k!eN eNkB aNke 1Nke kN8e keN1B ake1N Qke Q!ke TkQe akQe leQ ",
+"Q8le QelT lQse e*kN +Nke ke*NB ake+N ke*1N 1+ekN 1eNk*B akN1+e keQ* Qk+e Qk",
+"eT* ake+Q Qel* +Qle leQT* lse+Q Wke W!ke WkHe akWe Wk1e 8kWe 1HeWk ake1W Qk",
+"We GQke! Zke akZe lWe W8le lZe sZle fkW +Wfk HkfW gWfk 1Wfk W8fk f1HWk f8kg",
+"W fQk +Qfk Zfk gkZf lfW fQl+ lfZ Zfgl kem k!em kBem keam ke1m ke8m kem1B ak",
+"e1m kmQe kemQ! keTm akeTm lep l8pe lTpe sple emk; ke+m kem*B ake+m kem1; ke",
+">m keB1m* >keam keQ; kem+Q kemT; akeQ; pel; p>le lepT; l>esp keGm kemW! keH",
+"m akeGm Wk5e kemG8 kem1H ake5W kemGQ ke!GMm keZm Zkeam pGle lGp8e Zple lZes",
+"p fvk f+vk fHvk fvgk v1fk fv>k fv1Hk f>kgv vkfQ fvk+Q fvZk Zfkgv lfp l>fp Z",
+"flv ylf ,ke ke& ,Bke ak9e 1e,k :ek keB,1 ak:e 9Me Mek& Tk9e aM9e le9 l:e ,T",
+"le s:le ke9* -ke ke*,B ak-e ke*,1 -k:e ,1ek*B :-ake Me9* 9M-e ,Tke* Tk-e 9e",
+"l* l-e le9T* les- ,Gk G&,k Gk,H Ga,k 1G,k ,G:k ,1GHk Hk:e 9G,M ke&GM GT,k a",
+"Me9G lG, :Gle ,GlH sGl, f9k f-k ,Hfk f-gk ,1fk :fk f91Hk gk:f f9M -kfM ,Tfk",
+" f9gM lf9 lf: f9lH sfl- ,2ke k2e& ke2,B ake,2 5k9e 5k:e ,5keB :e5ak 92Me ke",
+"&M2 ,Tke2 aMe92 ,5le l5:e le95T lse:5 ke,; ke-; ke;,B -kae; ke;,1 :e>k keB,",
+"1; >k-ae Me9; -kMe; ke;,T -Tke; ,;le >el- le;,T l>es- ,2Gk ke&G2 ,GkH2 ke&H",
+"2 G5,k :G5,k ,G5Hk :He5k ,GkM2 ke2GM& ,GTk2 ak2,GT ,Gl5 l:G,5 lG,H5 :Hel5 ,",
+"kf; f;-k f9Hk; f-kg; ,5fk >k:f f95Hk f>kg: 9Mf; f-kM; f9Tk; f-Tk; f9l; l>:f",
+" lf9H5 glf:> ,Nke kNe& keN,B ake,N keN,1 ke:N ,1NkeB :eakN Qk9e keQ& ,QkTe ",
+"ake,Q ,Qle :Qle le9QT :Qels ke*,N ke-N 9eNk*B -kaeN ,1ek*N :-keN ke1*,NB -k",
+"a:eN ,Qke* Qk-e Qke9T* -QkTe le9Q* -Qle 9Qel*T l-sQe Gk,W keW& ,GkHW ake,W ",
+",1GWk Wk:e 1He,Wk :HeWk GQ,k ke&GQ ,GZk keZ& ,GlW :Wle Z9le leZ: ,Wfk -Wfk ",
+"f9HWk f-kgW f91Wk fk:W ,1HfkW :fgWk ,Qfk -Qfk f9Zk f-Zk f9lW lW:f l,Zf Z:lf",
+" ke,m emk& kem,B ake,m kem,1 ke:m keB,1m :emak Me9m kemQ& kem,T aMe9m p9le ",
+"le:p lep,T :pels kem,; ke-m keB9m* -kmae ,1mke; :-mke ke,m1;B :ea-km ke;,Q ",
+"-Qkem ,Tmke; -Tkem lep,; le-p leTp9* l-pse Gk,m kemG& kem,H akm,G ,1Gkm :Gm",
+",k ,1Hkem :Hekm Mem9G ,GQkm& Z9ekm Zkem& pGl, :pGle lZep9 Z:elp v9fk fk-v f",
+"v9Hk -vkgf fv95k fk:v f1Hvk, :fvgk v9fM -vkfQ Zf9vk Z-kfv l,fp :flv fp9lZ l",
+"fy: Uek U!ke Dke akUe 1Ue U81e Ue1D Ua1e keIM IkMe! Vek akVe lIe U8le leV s",
+"Ile Ik* +kUe IkD* Dk+e Ue1* U+1e Ik*1D ak*1I k*IM Ik*+M IkV* +kVe lI* U+le ",
+"Vel* sIl* GkUe Ik!Ge Jke akJe UG1e 1UG8e 1UJe 8kJe IkMGe UGkMe! VeJk JkVae ",
+"UGle lGU8e lJe lesJ fUk U+fk Jfk Jfgk f1U 1Uf8 f1Jk f1gU IkfM fU+kM Vfk gkV",
+"f lfU fUl+ lfJ Vfgl U2ke Ik2e! D2ke akeU2 U51e 1Ue58 Dk5e akeU5 IkMe2 ke2IM",
+"! keV2 Veka2 U5le lI58e V5le seVl5 keU; Ik;+e keD; akeU; Ue1; 1U>e Ik*5D Dk",
+">e Ik;Me +IkMe; keV; V+ek; Uel; lI>e Vel; leV> Ik2Ge UG2ke! keJ2 Jkae2 1UG5",
+"e G5kU8e 5kJe J5k8e UGkMe2 IkGMe2! JkVe2 VeaJk2 lGU5e UG5le8 J5le lJs5e U;f",
+"k fU+k; fkJ; Jfkg; 1Uf5 fU>k f5Jk Jf>k fUkM; Ik;fM+ V;fk Vfgk; fUl; lIf> l;",
+"Vf J>lf UNke IkNe! DNke akeUN 1NUe 1Ue8N 1UeDN 1UaeN QkUe UQek! QkVe VeQak ",
+"UQle lIQ8e lQVe seVlQ INk* Ik*+N Ik*DN ak*IN Ik*1N Ik*8N IkN1D* akN1I* IkQ*",
+" Ik*+Q VeQk* V+eQk QIl* l+IQe lI*VQ sI*lQ WkUe UWek! WkJe JkWae UW1e 1UW8e ",
+"J1UWe J8kWe UGQke Ik!WMe JkZe ZJkae UWle lWI8e ZJle lJZse UWfk fU+Wk JWfk J",
+"fkgW 1UfW f1U+W Jf1UW Jf8Wk UQfk fUQ+k ZkVf VfZgk fUlW lfU+W ZflJ glJZf keU",
+"m Ikme! keDm akeUm Ue1m Ikm8e kem1D aem1U IkmQe Ik!Mem keVm Vemak pUle lIp8",
+"e leVp Vpels kmI* Ikm+e IkmD* akmI* Ikm1* >kIem 1Dekm* >kDem IkmQ* U+Qkem V",
+"emk; V+ekm pIl* l>Ipe Vpel; V>elp IkmWe Im!Wke keJm Jkmae 1UGem UG8kem J1mU",
+"e J8kem UGQkem ImQkWe! ZJkem ZkaVem lGpUe lG8pUe leJp Jplse vUfk fvU+k fvJk",
+" Jvkgf v1fU f>Uv1 Jv1fU J>kfv fvUQk fQ+vIk fkVv Vfvgk lIfp fpUl> Jplf lfyJ ",
+"ht ht& htD htc ht1 h:t t1hD t:hc htM tMh& Vht tcVh lh lh: lhV uh ht* t-h hD",
+"t* hct- t*h1 t-h: t*1hD h:tc- t*hM hMt- t*Vh Vht- lh* l-h l*Vh uh- htG h&tG",
+" tJh hctJ tGh1 tGh: h1tJ tJh: tGhM tGMh& VhtJ tJVhc lhG lGh: lJh uJh tf tf-",
+" tfJ it tf1 tf: J1tf it: tfM fMt- tfV iVt lfh tfl- lJtf ui ht2 t&h2 tDh2 h2",
+"tc ht5 t:h5 hDt5 tch5 tMh2 htM&2 h2Vt Vhtc2 lh5 h5l: t5Vh uh5 ht; h;t- hDt;",
+" tch; t5h; h>t t5*hD htc> t;hM t-hM; t;Vh V-ht; lh; h>l l;Vh uh> h2tG tG&h2",
+" h2tJ tJhc2 tGh5 t:Gh5 h5tJ tJ5h: tGMh2 hM&tG2 tJVh2 VhctJ2 h5lG lh:G5 h5lJ",
+" hJu5 tf; f-t; h;tJ it; tf5 tf> Jft5 it> fMt; tf-M; t;Vf t;iV l;tf h>lf hJl",
+"; ui> htN t&hN tDhN hNtc t1hN hNt: ht1DN h:tcN htQ h&tQ tQVh tchQ lhQ hQl: ",
+"VlhQ uhQ hNt* hNt- t*DhN t-hcN t*1hN h:t-N h1Dt*N t-ch:N t*hQ hQt- tQ*Vh V-",
+"htQ hQl* hQl- lhVQ* h-uQ htW h&tW hWtJ tchW tWh1 t:hW tJh1W h:WtJ tGhQ tGQh",
+"& hZt htZc lhW lWh: hZl uZh tfW hWt- JftW itW f1tW tW:f tfJ1W t:iW tfQ f-tQ",
+" tZf iZt lWtf h-lW hZlf uiZ htm h&tm hDtm tchm t5hm t:hm ht5Dm h:mtc tQhm h",
+"tQm& tmVh Vhmtc hpl h:tp Vplh uph tmh; hmt- tm*hD t-mhc t5*hm hmt> tmDh1; h",
+">tcm tQh; t-Qhm Vhmt; V-mht l;hp hpl- lh;Vp hpu- tGhm tGmh& hmtJ tJmhc t5hW",
+" h:Wt5 tJ5hW :Jmht tGQhm tG&hMm hmtZ hZtcm lGhp lhW:p tZhp hZup hvt t-hv tJ",
+"hv itv h1tv tvh> hvtJ1 tvi: hQtv hvt-Q tZhv tZiv lvh hvl- hZlv uiy 3 !3 3B ",
+"a3 3. 83 .B3 8a3 3K !K3 T3 Ta3 j3 8j3 Tj3 s3 3( +3 3B( +a3 3(. +83 3(.B 8a+",
+"3 3(K +3K T3( +T3 j3( +j3 j3T( s+3 E3 !E3 H3 Ha3 E3. 8E3 H3. H83 EK3 !3EK H",
+"T3 TaH3 jE3 jE83 Hj3 sH3 d3 +d3 Hd3 g3 d3. 8d3 d3H. g83 dK3 dK+3 Td3 gT3 dj",
+"3 +3dj H3dj gs3 4 4! 4B 4a 45 48 45B 48a 4K 4K! 4T 4Ta 4j 48j 4T5 s4 4; 4+ ",
+"4;B 4+a 45; >4 5;4B >4a 4;K 4+K 4T; 4+T 4j; >j4 T;4j s>4 4E 4E! 4H 4Ha 45E ",
+"48E 4H5 4H8 4EK EK4! 4HT HT4a 4jE 8j4E 4Hj s4H 4d 4+d 4Hd g4 4d5 >4d H54d g",
+">4 4dK +d4K 4Td g4T 4dj 4d>j H;4j gs4 3N !3N 3BN a3N N.3 83N 3BN. aN83 Q3 Q",
+"!3 QT3 Qa3 Qj3 Q83 TjQ3 sQ3 3(N +3N 3(NB a3+N 3(N. 83+N 3(N.B +8a3N Q3( +Q3",
+" T3Q( +3Qa j3Q( +3Q8 QTj3( +Qs3 W3 W!3 HW3 Wa3 W3. W83 W3H. H3W8 WQ3 W3Q! Z",
+"3 Za3 Wj3 W3Q8 Zj3 sZ3 Wd3 +W3 WdH3 gW3 d3W. +3W8 HWd3. W8g3 Qd3 +3Qd Zd3 g",
+"Z3 W3dj +3Wj djZ3 g3sZ 4m 4m! 4mB 4am 45m 48m 5m4B 8m4a 4Q 4Q! 4QT 4Qa p4 p",
+"48 p4T sp4 4m; 4+m m;4B +m4a 5m4; >m4 45m;B 4a>m 4Q; 4+Q Q;4T +Q4T p4; p>4 ",
+"4Tp; p>s4 4W 4W! 4HW 4Wa 4W5 4W8 H54W H84W 4WQ Q!4W Z4 Z4a p4W 4Wp8 Zp4 sZ4",
+" v4 v4+ v4H gv4 v45 v>4 4Hv5 v>g4 v4Q 4+vQ Zv4 gZ4 pv4 p4v> pvZ4 y4 #3 &3 #",
+"B3 a&3 #3. 8&3 #3.B a&83 #3K &3K T#3 T&3 j#3 &j3 j#T3 s&3 #3( +&3 #3(B a&+3",
+" 3(#. 8&+3 .B3#( +8a&3 3(#K &3+K #3T( +3T& #3j( +3&j Tj#3( +&s3 #E3 &E3 H#3",
+" H&3 E3#. &E83 #3H. 8&H3 #3EK EK&3 T#H3 H3T& #Ej3 jE&3 j#H3 H&s3 d#3 d&3 d#",
+"H3 g&3 #3d. 83d& Hd#3. 8&g3 #3dK &3dK d#T3 T&g3 j#d3 d3&j dj#H3 s&g3 4# 4& ",
+"4#B 4a& 45# 48& 5B4# 5a4& 4#K 4&K 4T# 4T& 4j# 4&j 4#5T s4& 4;# 4+& ;#4B a;4",
+"& 5;4# >&4 45;#B 4a>& ;#4K 4K;& 4#T; +T4& 4#;j 4&>j ;j#4T >&s4 4#E 4&E 4H# ",
+"4H& 5#4E 4E5& 4#H5 H54& EK4# &E4K HT4# H&4T j#4E 4E&j 4#Hj 4Hs& 4d# 4d& 4#H",
+"; g4& 4#5d 4d>& 4H5d# >&g4 dK4# 4Kd& 4#Td 4Tg& 4#dj d&4j 4Hjd# g&s4 #3N &3N",
+" #3NB &3aN #3N. &38N 3BN#. 8a&3N Q#3 Q&3 T#Q3 Q3T& j#Q3 Q3&j QTj#3 Q&s3 3(#",
+"N &3+N 3(N#B +a&3N 3(N#. +8&3N 3B(N.# 8a&+3N #3Q( +3Q& QT#3( +QT&3 Qj#3( &j",
+"3+Q Tj#Q3( s+Q&3 W#3 W&3 W#H3 H3W& #3W. 8&W3 HW#3. H8W&3 Q#W3 W3Q& Z#3 Z&3 ",
+"j#W3 W3&j j#Z3 s3Z& d#W3 +3W& HWd#3 W&g3 Wd#3. d&3W8 Wd#H3. gW8&3 d#Q3 Q3d&",
+" d#Z3 g3Z& dj#W3 d&jW3 Zdj#3 Z&3gs 4m# 4&m m#4B am4& 5m4# 8m4& 45m#B am&48 ",
+"4Q# 4Q& 4#Tm Qa4& p4# p&4 4Tp# p&s4 m;4# +m4& 4m;#B am&4+ 45m;# 4&>m 5m;4#B",
+" >m4a& 4#Q; +Q4& 4QT;# 4+QT& 4;p# p4>& p4T;# p>4s& 4W# 4W& 4#Hm Hm4& 4#5W 5",
+"W4& 4H5W# 4H8W& WQ4# W&4Q Z4# Z4& 4Wp# 4Wp& p4Z# Z&s4 v4# v&4 4Hv# v&g4 45v",
+"# v4>& v4H5# gv>4& 4Qv# 4Qv& v4Z# Z&g4 v4p# p4v& Zpv4# y&4 C3 !C3 D3 Da3 C3",
+". 8C3 D3. D83 CK3 !3CK DT3 TaD3 jC3 jC83 Dj3 sD3 C3( +C3 D3( +D3 3(C. 8C+3 ",
+"3(D. +3D8 3(CK CK+3 T3D( DT+3 C3j( jC+3 j3D( +Ds3 CE3 CE!3 HD3 DaH3 E3C. CE",
+"83 D3H. H3D8 C3EK EKC!3 DTH3 HDTa3 CEj3 8jCE3 H3Dj HDs3 dC3 dC+3 Dd3 gD3 C3",
+"d. dC83 d3D. D8g3 CKd3 +dC3K D3Td DTg3 jCd3 djC+3 D3dj sDg3 4C 4C! 4D 4Da 4",
+"5C 48C 4D5 4D8 4CK CK4! 4DT DT4a 4jC 8j4C 4Dj s4D 4;C 4+C 4D; 4+D 5;4C >C4 ",
+"45D; >D4 ;C4K +C4K D;4T +D4T 4C;j 4j>C D;4j >Ds4 4CE !C4E 4HD HD4a 5C4E 8C4",
+"E H54D H84D EK4C 4CE!K HD4T 4HDTa jC4E 48jCE Hj4D 4HsD 4dC +d4C 4Dd g4D 4C5",
+"d 4d>C 5D4d >Dg4 dK4C 4+dCK Dd4T 4DgT 4Cdj >j4dC Dd4j gDs4 C3N C3!N D3N a3D",
+"N C3N. C38N N.D3 83DN QC3 !CQ3 QD3 DaQ3 jCQ3 8CQ3 Q3Dj QDs3 3(CN C3+N 3(DN ",
+"D3+N C3N(. +8C3N D3(N. +D83N C3Q( QC+3 D3Q( +3QD QjC3( +Q8C3 QDj3( s+QD3 WC",
+"3 !CW3 WD3 DaW3 C3W. 8CW3 D3W. W3D8 QCW3 Q!WC3 ZD3 DaZ3 jCW3 W8QC3 DjZ3 ZDs",
+"3 dCW3 WC+3 W3Dd WDg3 WdC3. +W8C3 WDd3. gWD83 dCQ3 +WQC3 DdZ3 ZDg3 djCW3 +W",
+"jC3 ZDdj3 gZsD3 4mC mC4! 4Dm Dm4a 5m4C 4C8m 45Dm Dm48 4QC 4CQ! 4QD QD4a p4C",
+" 48pC pD4 pDs4 m;4C 4C+m 4mD; +m4D 45m;C 4m>C 4D5m; 4D>m 4CQ; 4C+Q Q;4D +Q4",
+"D 4;pC p4>C 4Dp; p4>D 4WC W!4C 4WD WD4a 4C5W 4CW8 5W4D WD48 WQ4C 4WQ!C Z4D ",
+"4DZa 4WpC p4W8C pDZ4 sDZ4 v4C 4+vC vD4 vDg4 45vC v4>C 4Dv5 v4>D 4QvC v4+QC ",
+"vDZ4 gDZ4 v4pC pv>4C p4vD y4D b3 b&3 bD3 c3 b3. b83 D3b. c83 bK3 &3bK bT3 c",
+"T3 bj3 b3&j b3Dj sc3 b3( b+3 D3b( c+3 3(b. +8b3 bD3(. +8c3 3(bK +3bK T3b( +",
+"Tc3 j3b( b3+j bTj3( c+s3 bE3 &Eb3 bH3 cH3 E3b. 8Eb3 H3b. H8c3 EKb3 bK&E3 HT",
+"b3 HTc3 jEb3 &jEb3 b3Hj cHs3 bd3 b3d& b3Dd gc3 d3b. b38d bHd3. c8g3 dKb3 d&",
+"3bK b3Td cTg3 b3dj d&jb3 bHjd3 g3sc 4b 4b& 4bD c4 4b5 4b8 b54D c45 4bK bK4&",
+" 4bT c4T 4bj b84j b54T sc4 4b; 4b+ b;4D c4+ 45b; >b4 4b5D; c>4 4Kb; 4Kb+ b;",
+"4T 4+cT b;4j 4b>j 4bT;j s4c> 4bE b&4E 4bH c4H 4Eb5 4Eb8 b54H 4Hc5 bK4E 4b&E",
+"K bH4T 4HcT 4Ebj 4b8jE bH4j sHc4 4bd b+4d bH4d gc4 b54d 4b>d 4bH5d g4c> 4Kb",
+"d 4b+dK bT4d gTc4 bd4j >b4dj 4bHdj scg4 b3N &3bN D3bN c3N N.b3 83bN bD3N. 8",
+"3cN bQ3 b3Q& b3QD cQ3 Qjb3 b3Q8 bQDj3 s3cQ 3(bN +3bN bD3(N +3cN b3(N. b+83N",
+" D3(bN. c+83N Q3b( b3+Q bQD3( +Qc3 bQj3( b+Q83 QD3bj( cQ+s3 bW3 b3W& b3WD c",
+"W3 W3b. b3W8 bHW3. W8c3 WQb3 bWQ&3 Zb3 Zc3 b3Wj bW8Q3 bjZ3 s3Zc Wdb3 b3+W b",
+"HWd3 g3cW bWd3. b+W83 WD3bd. cW8g3 b3Qd b+WQ3 bdZ3 g3Zc bWjd3 b+Wj3 Zbdj3 Z",
+"cgs3 4bm bm4& bm4D c4m 45bm bm48 4b5Dm 48cm 4bQ bQ4& bQ4D c4Q pb4 4bp& 4bpD",
+" cp4 4mb; bm4+ 4bDm; 4+cm 4b5m; 4b>m b5m4D; >mc4 b;4Q b+4Q 4bQD; 4+cQ 4bp; ",
+"p4>b pb4D; p>c4 4bW bW4& bH4W c4W b54W bW48 4bH5W 4Wc5 bW4Q 4bWQ& Z4b Zc4 4",
+"bpW pb4W8 pbZ4 s4Zc vb4 4bv& 4bvD cv4 4bv5 v4>b vb4H5 v>c4 4bvQ vb4+Q vbZ4 ",
+"g4Zc p4vb pvb>4 Zpbv4 yc4 6 6! 6B 6a 61 68 61B 68a 6K 6!K 6T 6Ta 6j 68j 6T1",
+" s6 6( 6+ 6(B 6+a 61( 6+1 1(6B 1+6a 6(K 6+K 6T( 6+T 6j( 6+j 6(1T s6+ 6E 6!E",
+" 6H 6Ha 61E 68E 6H1 6H8 6EK EK6! 6HT HT6a 6jE 8j6E 6Hj s6H 6d 6+d 6Hd g6 6d",
+"1 68d 1H6d g61 6dK +d6K 6Td g6T 6dj +j6d 1T6d gs6 46 6!4 46B 4a6 7 78 7B 7a",
+" 46K 4K6! 4T6 6T4a 7j 78j 7T 7s 6; 4+6 6;B 6a; 7; 7> 7B; 7>a 6;K 4K6+ 6T; 6",
+"+4T 7;j 7>j 7T; 7s> 46E 4E6! 4H6 6H4a 7E 78E 7H 7H8 6E4K 6!4EK 6H4T 4H6Ta 7",
+"jE 8j7E 7HT 7sH 4d6 6+4d 6H; g46 7d 7>d 7Hd g7 4K6d 4+6dK 6T4d 4Tg6 7dj >j7",
+"d 7Td g7s 6N 6!N 6NB 6aN 61N 68N 1N6B 6N1a 6Q 6Q! 6QT 6Qa 6Q1 6Q8 1Q6T s6Q ",
+"6(N 6+N (B6N +a6N 1(6N 6N1+ 61(NB 6+1aN 6Q( 6+Q QT6( +Q6T 6(1Q 1+6Q 6Q1T( 6",
+"+sQ 6W 6W! 6HW 6Wa 6W1 6W8 1H6W 1W6a 6WQ Q!6W Z6 Z6a 6Wj W86Q Z61 sZ6 6Wd 6",
+"+W HW6d g6W 1W6d 1+6W 6H1Wd 6Wg1 6Qd +W6Q Z6d gZ6 1Q6d +W6j 6dZ1 sZg6 6m 6m",
+"! 6mB 6am 7m 78m 7Bm 7am 4Q6 Q!6m 6Tm 6Q4a 7p 7p8 7pT 7sp 6m; 6+m m;6B +m6a",
+" 7m; 7>m m;7B >m7a 6Q; 6+4Q Q;6T +T6m 7p; 7p> pT7; 7ps> 4W6 6!4W 6Hm 6W4a 7",
+"W 7W8 7HW 7Wa 6W4Q 4WQ6! Z46 4aZ6 7pW pW78 7Z 7Zs v6 v6+ v6H gv6 7v 7v> 7vH",
+" g7v v6Q 6+vQ Zv6 Zvg6 7vp pv7> 7Zv y7 69 6& 69B 6a9 691 :6 916B :6a 69K 6&",
+"K 6T9 6T& 6j9 :6j 9T6j s:6 69( 6+9 9(6B 9+6a 916( :6+ 691(B 6+:a 9(6K 6K9+ ",
+"6(9T 9+6T 6(9j 6+:j 6T91( :6s+ 69E 6&E 6H9 6H& 916E :6E 691H :H6 9E6K &E6K ",
+"9H6T H&6T 6E9j 6j:E 9H6j :Hs6 6d9 6d& 9H6d g69 691d :d6 6H91d g:6 6K9d 6Kd&",
+" 9T6d 6Tg9 9d6j 6d:j 6Hj9d s:g6 49 49& 49B 49a 79 7: 7B9 7:a 49K 4K6& 49T 6",
+"T4& 79j 7:j 7T9 7s: 49; 49+ 4B9; 9+4a 79; 7:> 9;7B :>7a 4K9; 4K9+ 9T6; 9+4T",
+" 9;7j >j7: 9T7; 7:s> 49E 4E6& 49H 6H4& 79E 7:E 7H9 7:H 9E4K 49&EK 9H4T 49HT",
+"& 9j7E :j7E 9H7T 7Hs: 49d 6d4& 9H4d g49 7d9 7:d 9H7d g7: 4K9d 49+dK 9T4d 49",
+"gT 9d7j 7j:d 9T7d 7sg: 69N 6&N 9N6B 6N9a 916N :6N 691NB 6a:N 6Q9 6Q& 9Q6T 9",
+"Q6a 9Q6j :Q6 6Q91T :Qs6 9(6N 6N9+ 69(NB 6+9aN 691(N 6+:N 91(6NB :6+aN 6(9Q ",
+"9+6Q 6Q9T( 6+Q9T 6Q91( 6+:Q 9Q16T( :Q6s+ 6W9 6W& 9H6W 9W6a 691W :W6 6H91W 6",
+"H:W 9W6Q W&6Q Z69 Z6& 9W6j 6W:Q 6jZ9 Z:6 9W6d 9+6W 6H9Wd 6Wg9 6W91d 6+:W 9H",
+"16Wd :Wg6 9Q6d Qd6& 6dZ9 Z6g9 6Wj9d 6Q:d Z691d g6Z: 49m 6m& 4B9m 9a6m 79m 7",
+":m 9m7B :m7a 49Q 6Q4& 9Q4T 9Q4a 7p9 :p7 p97T :p7s 9m6; 9+6m 49m;B 49+am 9m7",
+"; :m7> 7B9m; 7:>am 9Q6; 9+4Q 49QT; 49+Qa 7;p9 7>:p 7p9T; 7p>s: 49W 6W4& 9H4",
+"W 9W4a 7W9 7:W 9H7W :H7W 9W4Q 49WQ& Z49 49Z& p97W 7W:p 7Z9 7Z: v69 v6& 49vH",
+" v6g9 7v9 :v7 v97H :vg7 49vQ 6Qv& v6Z9 Z4g9 p97v :p7v Z97v y7: 6C 6!C 6D 6D",
+"a 61C 68C 6D1 6D8 6CK CK6! 6DT DT6a 6jC 8j6C 6Dj s6D 6C( 6+C 6D( 6+D 1C6( 6",
+"C1+ 6(1D 1+6D CK6( +C6K DT6( +D6T jC6( 6C+j 6(Dj 6+sD 6CE !C6E 6HD HD6a 1C6",
+"E 8C6E 1H6D H86D EK6C 6!CEK HD6T 6HDTa jC6E 68jCE Hj6D 6HsD 6dC +d6C 6Dd g6",
+"D 6C1d 6C8d 1D6d 6Dg1 dK6C 6+dCK Dd6T 6DgT 6Cdj 6+jdC Dd6j gDs6 46C 4C6! 4D",
+"6 6D4a 7C 78C 7D 7D8 6C4K 6!4CK 6D4T 4DT6a 7jC 8j7C 7DT 7sD 6;C 4C6+ 6D; 6+",
+"4D 7;C 7>C 7D; 7>D ;C6K 4+6CK D;6T 4+D6T ;j7C 7j>C D;7T 7Ds> 6C4E 6!4CE 6H4",
+"D 4H6Da 7CE 8C7E 7HD H87D 46CEK 4CE6!K 4H6DT 6HD4Ta jC7E 78jCE Hj7D sH7D 4C",
+"6d 4+6dC 6D4d 4Dg6 7dC >C7d 7Dd g7D 4d6CK 6+C4dK 4Dd6T g46DT dj7C 7>djC Dd7",
+"T 7Dgs 6CN !C6N 6DN Da6N 1C6N 8C6N 6N1D 6ND8 6QC 6CQ! 6QD QD6a 6C1Q 6CQ8 1Q",
+"6D 6QsD C(6N +C6N D(6N 6N+D 61C(N 6+1CN 6D1(N 6+D1N QC6( 6C+Q 6(QD +Q6D 6Q1",
+"C( 6+Q1C 6QD1( s6+QD 6WC W!6C 6WD WD6a 6C1W 6CW8 1W6D WD68 WQ6C 6WQ!C Z6D 6",
+"DZa 6CWj 6W8QC 6DZ1 sDZ6 Wd6C 6C+W WD6d 6WgD 6W1dC 6+W1C 6WD1d g61WD 6CQd 6",
+"+WQC 6DZd gDZ6 6WjdC 6+WjC Z61Dd gZ6sD 6mC mC6! 6Dm Dm6a 7mC 8m7C 7Dm D87m ",
+"4C6Q 4Q6!C 6Q4D 4QD6a 7pC p87C 7pD 7Dsp m;6C 6C+m Dm6; +D6m m;7C 7m>C Dm7; ",
+">m7D 6CQ; 4+Q6C QD6; 4+Q6D p;7C >C7p 7;pD p>7D 4C6W 4W6!C 6W4D 4WD6a 7WC W8",
+"7C 7WD WD7a 4WQ6C 6WC4Q! 4DZ6 Z46Da pW7C 7pW8C 7ZD 7DsZ v6C 6+vC v6D vDg6 7",
+"vC >C7v 7vD 7Dgv 6QvC v6+QC vDZ6 Zv6gD 7Cpv 7p>vC 7DZv y7D b6 b6& b6D c6 b6",
+"1 :b6 6Db1 :c6 b6K bK6& b6T c6T b6j b6:j 6Dbj sc6 b6( b6+ b(6D c6+ 61b( b6:",
+"+ b61D( :+c6 6(bK bK6+ b(6T 6+cT b(6j 6+bj b6T1( s+c6 b6E bE6& b6H c6H 61bE",
+" b6:E 6Hb1 c6:H 6EbK b6&EK 6HbT 6HcT bE6j :b6jE 6Hbj sHc6 b6d 6+bd 6Hbd gc6",
+" 6db1 b6:d b6H1d :cg6 bK6d b6+dK 6Tbd gTc6 6dbj :db6j b6Hdj scg6 4b6 b64& 4",
+"9D c46 7b 7:b 7bD 7c 4Kb6 4b6&K b64T 49cT 7bj :b7j 7bT 7cs b6; b64+ 6Db; c6",
+"; 7b; 7>b b;7D 7c> bK6; 4b+6K 6Tb; 6Tc; b;7j >j7b bT7; c>7s 4Eb6 4b6&E b64H",
+" 49cH 7bE 7E:b 7bH 7cH 4b6EK b6E4&K 4bH6T c46HT bj7E 7:bjE bH7T 7Hsc b64d 4",
+"b+6d 6Hb; c4g6 7bd :d7b bH7d g7c 4bd6K d&Kb6; 4bT6d c6;gT bd7j 7:dbj bT7d g",
+"s7c b6N bN6& bN6D c6N 61bN b6:N b61DN cN:6 b6Q 6&bQ 6QbT c6Q 6Qb1 b6:Q b6Q1",
+"D c6:Q 6(bN bN6+ b6D(N 6+cN b61(N :b6+N 6D(b1N :c6+N b(6Q 6+bQ b6QD( 6+cQ b",
+"6Q1( :Qb6+ b6(1QD :cQ6+ b6W 6&bW 6HbW c6W 6Wb1 b6:W b6H1W c6:W 6WbQ b6WQ& Z",
+"b6 Zc6 6Wbj :Wb6Q b6Z1 s6Zc 6Wbd 6+bW b6HWd cWg6 b6W1d :Wb6+ 6WDb1d g:c6W 6",
+"Qbd b6+Qd b6Zd g6Zc b6Wdj :Qdb6 Zb61d Zc6g: b6m 6&bm 6Dbm c6m 7bm :m7b bm7D",
+" 7cm b64Q 4bQ6& 6Tbm 49cQ 7pb 7b:p pb7D 7cp 6mb; 6+bm 49Dm; 6+cm bm7; >m7b ",
+"7bDm; cm7> 6Qb; 4b+6Q 49QD; 6Qc; 7;pb p>7b 7pbD; 7pc> b64W 4bW6& 6Hbm 49cW ",
+"7bW :W7b bH7W 7cW 4bW6Q b6W4Q& 4bZ6 c4Z6 pb7W 7pb:W 7Zb 7Zc vb6 b6v& 49vD c",
+"v6 7vb 7b:v vb7H 7cv b6vQ vb6+Q vbZ6 Z6cv pv7b :vb7p Zv7b y7c 3L !3L 3BL a3",
+"L 3L. 83L 3L.B a38L M3 M3! TM3 aM3 Mj3 8M3 MjT3 sM3 3(L +3L 3(LB a3+L (L3. ",
+"83+L 3L.(B +8a3L M3( +M3 M3T( +3aM j3M( +38M TMj3( +Ms3 E3L E3!L H3L a3HL 3",
+"LE. E38L 3LH. 83HL ME3 !EM3 HM3 H3aM jEM3 ME83 MjH3 HMs3 d3L d3+L d3HL g3L ",
+"3Ld. d38L Hd3L. 83gL dM3 +3dM H3dM gM3 Mjd3 83dM dMjH3 sMg3 4L 4L! 4LB 4aL ",
+"45L 48L 5B4L 4L5a 4M 4M! 4TM 4aM 4M5 48M 5T4M s4M 4;L 4+L ;L4B 4La; 5;4L >L",
+"4 45;LB 4a>L 4M; 4+M T;4M +T4M M;4j >M4 4T5M; s4>M 4EL !E4L 4HL Ha4L 5E4L 8",
+"E4L 4LH5 4LH8 4ME ME4! 4HM HM4a 4E5M 4E8M H54M 4HsM 4dL +d4L 4LH; g4L 4L5d ",
+"4d>L 4H5dL >Lg4 4dM +M4d HM4d g4M 5d4M 4d>M 4HM5d g4>M 3LN 3L!N 3LNB 3LaN 3",
+"LN. 3L8N 3L.NB 8a3LN QM3 M3Q! TMQ3 Q3aM MjQ3 Q38M QTMj3 QMs3 (L3N 3L+N 3(NL",
+"B +a3LN 3L.(N +83LN .BL3(N 8a3+LN M3Q( QM+3 QTM3( aM3+Q QMj3( +Q8M3 TMjQ3( ",
+"s+QM3 W3L !3WL W3HL a3WL 3LW. 83WL HW3L. H8W3L WM3 M3W! ZM3 aMZ3 MjW3 W38M ",
+"MjZ3 ZMs3 d3WL W3+L HWd3L W3gL Wd3L. +W83L Wd3HL. gW83L W3dM +3WM dMZ3 ZMg3",
+" dMjW3 +WM83 ZdMj3 gZsM3 4mL mL4! mL4B 4Lam 5m4L 4L8m 45mLB amL48 4QM Q!4M ",
+"Tm4M Qa4M p4M 48pM 4TpM p4sM m;4L 4L+m 4m;LB amL4+ 45m;L 4m>L 5m;4LB >m4aL ",
+"Q;4M +Q4M 4QTM; aMm4+ 4Mp; p4>M p4TM; >Mps4 4WL W!4L 4LHm 4LWa 4L5W 4LW8 4H",
+"5WL 4H8WL 4WM 4!WM Z4M 4aZM 4WpM W84M p4ZM sMZ4 v4L 4+vL 4HvL v4gL 45vL v4>",
+"L v4H5L gv>4L vM4 4+vM vMZ4 Z4gM p4vM v4>M Zpv4M y4M #3L &3L #3LB &3aL 3L#.",
+" &38L 3L.#B 8a&3L M#3 M&3 M#T3 T3M& j#M3 83M& TMj#3 M&s3 3(#L &3+L (BL#3 +a",
+"&3L 3L.#( +8&3L 3B(#L. 8a&+3L #3M( +3M& TM#3( aM3+& Mj#3( M&3+j Mj#T3( s+M&",
+"3 E3#L E3&L #3HL &3HL 3L.#E 8&E3L H#3L. H8&3L #EM3 &EM3 M#H3 H3M& Mj#E3 M&E",
+"83 HMj#3 sHM&3 #3dL &3dL Hd#3L &3gL d#3L. d&38L d#3HL. g8&3L M#d3 d3M& dM#H",
+"3 M&g3 dMj#3 dM&83 HM#dj3 gsM&3 4#L 4&L #B4L a&4L 5#4L 4L5& 45#LB 48a&L 4M#",
+" 4M& TM4# T&4M 4#5M 5M4& 4T5M# 4Ms& ;#4L 4L;& 4;#LB a;&4L 45;#L 4&>L 5;#4LB",
+" >&4aL 4#M; +M4& M;#4T aM;4& M;#4j 4M>& 4T5M;# >Ms4& #E4L &E4L H#4L 4LH& 45",
+"#EL 48&EL 4H5#L 4H8&L M#4E 4EM& 4#HM HM4& 4M5#E 48M&E 4HM5# s4HM& d#4L 4Ld&",
+" 4Hd#L 4&gL 4d5#L >&4dL H5#4dL g>4&L 4#dM dM4& 4HMd# 4Mg& 4dM5# >M4d& dM#4H",
+"j >Mg4& 3L#N 3L&N #LN3B a&3LN 3L.#N 8&3LN #L.3BN a&38LN M#Q3 Q3M& QTM#3 aM3",
+"Q& QMj#3 M&3Q8 TMjQ#3 sQM&3 3(N#L +&3LN 3B(#LN a&3+LN #L.3(N 8&3+LN 3LNB#(.",
+" 3L+N8a& QM#3( M&3+Q TM#Q3( +QTM&3 Mj#Q3( +Q8M&3 TMQj#3( M&3s+Q #3WL &3WL H",
+"W#3L H&W3L W#3L. W8&3L W#3HL. W83H&L M#W3 W3M& M#Z3 M&Z3 WMj#3 W8M&3 ZMj#3 ",
+"Z&Ms3 Wd#3L d&3WL Wd#H3L gW&3L d#3WL. W83d&L W3HLd#. W8&g3L dM#W3 dM&W3 ZdM",
+"#3 Z&Mg3 WM#dj3 dM3W&j dMjZ#3 gsMZ&3 m#4L 4Lm& 4m#LB am&4L 45m#L m&L48 5m#4",
+"LB 48am&L 4#Mm Q&4M Mm#4T aMm4& 4Mp# 4Mp& p4TM# p&4sM 4m;#L m&L4+ m;#4LB 4+",
+"am&L 5m;4#L >m4&L mL4B5;# am&>L4 Mm#4; Mm&4+ 4QTM;# 4+TMm& p4M;# >Mp4& M;#p",
+"4T p&4>Ms W#4L 4LW& 4HW#L 4H&WL 4W5#L 4W8&L H5#4WL m&L4H8 4#WM WM4& 4MZ# 4M",
+"Z& p4WM# p&4WM Zp4M# Zp&4M 4#vL 4&vL v4H#L gv4&L v45#L v>4&L 4H5v#L v>&g4L ",
+"4Mv# 4Mv& Zv4M# Zv&4M pv4M# >Mv4& pvMZ4# 4My& U3 U!3 UD3 Ua3 U3. U83 D3U. U",
+"3D8 UM3 M3U! V3 Va3 Uj3 U38M Vj3 Vs3 U3( U+3 D3U( U3+D 3(U. +8U3 UD3(. U+D8",
+"3 M3U( U3+M V3( V+3 j3U( U3+j j3V( s3V+ UE3 !EU3 UH3 HaU3 E3U. 8EU3 H3U. U3",
+"H8 MEU3 U!ME3 VH3 HaV3 jEU3 U8ME3 HjV3 VHs3 Ud3 +dU3 U3Dd gU3 d3U. U38d UHd",
+"3. U8g3 U3dM dM3U+ Vd3 gV3 U3dj U+jd3 djV3 g3Vs 4U 4U! 4UD 4Ua 4U5 4U8 U54D",
+" U54a 4UM U!4M V4 V4a 4Uj U84M V45 s4V 4U; 4U+ U;4D U+4D 45U; >U4 4U5D; 4U>",
+"D U;4M U+4M V4; V4+ U;4j 4U>M 4jV; V>4 4UE U!4E 4UH UH4a 4EU5 4EU8 U54H UH4",
+"8 UM4E 4UM!E V4H 4HVa 4EUj 4U8ME 4HV5 sHV4 4Ud U+4d UH4d g4U U54d 4U>d 4UH5",
+"d >Ug4 Ud4M 4U+dM V4d gV4 Ud4j >M4Ud 4dV5 g4V> U3N !3UN D3UN a3UN N.U3 83UN",
+" UD3N. U8D3N UQ3 U3Q! VQ3 QaV3 QjU3 U3Q8 QjV3 VQs3 3(UN +3UN UD3(N U+D3N U3",
+"(N. U+83N D3(UN. +D3U8N Q3U( U3+Q Q3V( +QV3 UQj3( U+Q83 VQj3( Vs+Q3 UW3 W!U",
+"3 U3WD U3Wa W3U. U3W8 UHW3. UH8W3 U3WM UWQ!3 VZ3 VaZ3 U3Wj UW8Q3 VjZ3 s3VZ ",
+"WdU3 U3+W UHWd3 UWg3 UWd3. U+W83 WD3Ud. gUW83 U3Qd U+WQ3 Z3Vd g3VZ UWjd3 U+",
+"Wj3 VZdj3 gVZs3 4Um 4!Um Um4D Um4a 45Um Um48 4U5Dm 4U8Dm 4UQ Q!4U V4Q 4QVa ",
+"pU4 4Up8 Vp4 s4Vp 4mU; Um4+ 4UDm; 4U+Dm 4U5m; 4U>m U5m4D; >Dm4U U;4Q U+4Q 4",
+"QV; 4+Vm 4Up; p4>U p4V; p>V4 4UW 4!UW UH4W UW4a U54W UW48 4UH5W 4UHW8 UW4Q ",
+"4UWQ! Z4V ZaV4 4UpW pU4W8 Z4Vp VZs4 vU4 4Uv+ 4UvD vUg4 4Uv5 v4>U vU4H5 gvU>",
+"4 4UvM vU4+Q Vv4 g4Vv p4vU >Mv4U pvV4 yV4 bU3 U&3 UDb3 cU3 U3b. b3U8 bUD3. ",
+"U8c3 bM3 b3M& Vb3 Vc3 b3Uj b38M bjV3 s3Vc U3b( b3U+ bUD3( U+c3 bU3(. b+U83 ",
+"UD3b(. cU+83 M3b( b3+M b3V( c3V+ bMj3( b+M83 Vbj3( Vs+c3 UEb3 &EU3 b3UH UHc",
+"3 bUE3. b8UE3 bHU3. cUH83 MEb3 M&Eb3 bHV3 VHc3 bMjE3 b8ME3 VbHj3 VsHc3 b3Ud",
+" U3d& bHUd3 cUg3 bdU3. b8dU3 UH3bd. gcU83 b3dM dM&b3 bdV3 g3Vc bdMj3 d&jU3 ",
+"Vdbj3 gVsc3 4bU 4U& bU4D c4U b54U b84U 4bU5D 4Uc5 4bM bM4& V4b c4V b54M b84",
+"M 4bV5 Vsc4 b;4U b+4U 4bUD; 4Uc; 4bU5; 4b>U b5U4D; >Uc4 b;4M b+4M 4bV; V4c;",
+" 4bM;j 4b>M V4b;j c4V> bU4E 4EU& bH4U 4UcH 4bU5E 4b8UE 4bHU5 c4UH5 4EbM 4bM",
+"&E 4bVH cHV4 4bM5E 4b8ME V4bH5 c4VsH bd4U Ud4& 4bHUd c4gU 4bdU5 >b4Ud bH54U",
+"d c>g4U bd4M dM&4b 4bVd c4gV 4bdUj >Mb4d V4db5 V>gc4 U3bN &3UN bUD3N U3cN b",
+"U3N. b8U3N UD3bN. cU83N b3UQ U3Q& bQV3 VQc3 bQUj3 bQ8U3 VbQj3 cQVs3 bU3(N b",
+"+U3N UD3b(N cU+3N U3(bN. U+3b8N D3UNb(. U+8c3N bQU3( b+QU3 VbQ3( cQV+3 UQ3b",
+"j( &j3U+Q bQjV3( Vs+cQ3 b3UW U3W& bHUW3 UWc3 bWU3. bW8U3 UH3bW. cWU83 b3WM ",
+"bWM&3 VbZ3 Z3Vc bWMj3 bW8M3 ZbVj3 ZcVs3 bWUd3 b+WU3 UHWbd3 cWUg3 UW3bd. d&3",
+"UW8 W.DdbU3 gU8cW3 bWMd3 b+WM3 ZbVd3 gVZc3 dM3bWj dM3bW8 VdjZb3 ZcsgV3 bm4U",
+" Um4& 4bUDm 4Ucm 4bU5m 4b8Um b5U4Dm c4U8m bQ4U UQ4& 4bVm V4cQ 4bpU 4Up& pbV",
+"4 c4Vp 4bUm; 4b+Um bmU4D; c4U+m b5m4U; >b4Um 5mD;4bU c>4Um 4bQU; 4b+UQ V4bQ",
+"; c4V+Q pb4U; >Mbp4 Vp4b; cpV>4 bW4U UW4& 4bHUW 4UcW 4bWU5 4bWU8 bH54UW c4W",
+"U5 bW4M 4bWM& V4Zb VZc4 pb4UW pU&4W ZpbV4 cpZV4 4bvU 4Uv& vb4UH vUc4 vb4U5 ",
+"v>b4U 4bHvU5 cv>4U 4bvM vbM4+ vbV4 c4Vv pvb4U >Mv4b Vvp4b c4yV 6k 6!k 6kB 6",
+"ak 61k 68k 1k6B 8k6a 6M 6M! 6Tk 6aM l6 l68 l6T ls6 6k( 6+k k(6B +k6a 1k6( +",
+"k68 61k(B 6+1ak 6M( 6+M 6(Tk +T6M l6( l+6 6Tl( s6l+ 6kE kE6! 6Hk Hk6a 1k6E ",
+"6E8k 61Hk Hk68 6ME ME6! 6HM HM6a l6E 68lE lH6 s6lH 6dk +k6d Hk6d g6k 61dk 8",
+"k6d 6H1dk 68gk 6dM +M6d HM6d g6M ld6 6+ld 6Hld gl6 4k 4k! 4kB 4ak 7k 78k 7B",
+"k 7ak 4kM 6!4M 4Tk 6a4M 7l 7l8 7lT 7sl 4k; 4+k 4Bk; +k4a 7k; >k7 k;7B 7a>k ",
+"6M; 6+4M Tk6; +T4k l;7 l>7 7Tl; 7sl> 4kE kE4! 4Hk Hk4a 7kE 8k7E 7Hk H87k 4E",
+"6M 4kM!E 6H4M 4HkaM 7lE 78lE lH7 lH7s 4dk +k4d Hk4d g4k 7dk 7d>k Hk7d g7k 6",
+"d4M 4+kdM HM6; 4Tgk ld7 7>ld 7Hld gl7 6kN kN6! kN6B 6Nak 1k6N 6N8k 61kNB ak",
+"N68 6Qk Q!6M Qk6T Qa6M l6Q 6Ql8 6QlT lQs6 k(6N 6N+k 6k(NB akN6+ 61k(N 6+1kN",
+" 1k(6NB 6+1akN 6(Qk +Q6M 6QTk( 6+QTk 6Ql( 6+lQ l6QT( ls6+Q 6Wk 6!Wk Hk6W Wk",
+"6a 61Wk Wk68 6H1Wk 6H8Wk 6WM 6!WM Z6k 6aZk lW6 6Wl8 lZ6 s6lZ Wk6d +k6W 6HWd",
+"k 6Wgk 6W1dk 6+W8k 1HW6dk g61Wk WM6d +W6M 6dZk Z6gk 6Wld 6+lW Z6ld g6lZ 4km",
+" 6!km 4Bkm ak6m 7km 8k7m km7B ak7m 4Qk Q!4k Qk4T Qa4k 7lp l87p lp7T 7lsp km",
+"6; +k6m km;4B akm4+ km7; 7k>m 7Bkm; 7>akm Qk6; +Q4k 4QkT; ak;4Q 7pl; 7pl> 7",
+"lpT; l>p7s 4Wk 4!Wk Hk4W Wa4k 7Wk W87k Hk7W Wa7k 6W4M 4WkQ! Z4k 4aZk lW7 l8",
+"7W 7Zl lZ7s v6k 4+vk 4Hvk v6gk 7vk >k7v vk7H gk7v v6M 6+vM v6Zk Z4gk lv7 7v",
+"l> 7Zlv yl7 69k 6&k 9k6B ak6& 916k :6k 691kB 6a:k 6M9 6M& 9T6M 9a6M l69 l:6",
+" 6Tl9 s6l: 9k6( +k6& 69k(B 6+9ak 691k( 6+:k 91k6(B :6+ak 6(9M 9+6M 6T9k( 6+",
+"T9M 69l( :6l+ l69T( ls:6+ 9k6E 6Ek& 69Hk Hk6& 691kE 6k:E 6H91k 6H:k 6E9M 6E",
+"M& 9H6M HM6& 69lE :6lE 6Hl9 l6:H 69dk dk6& 6H9dk 6&gk 6d91k 6d:k 9H16dk :6g",
+"k 9d6M dM6& 6HM9d 6Mg9 6dl9 l6:d lH69d g6l: 49k 4k& 9k4B 9a4k 79k 7:k 9k7B ",
+":a7k 49M 6M4& 9T4k 9a4M 7l9 l:7 l97T l:7s 9;4k 9+4k k;B49 ak;49 9;7k 7:>k 7",
+"B9k; 7:>ak 9M6; 9+4M 49Tk; aM;49 79l; 7:l> 7l9T; l>7s: 9k4E 4Ek& 9H4k Hk4& ",
+"9k7E :k7E 9H7k 7k:H 4E9M 49M&E 9H4M 49HaM 79lE lE7: l97H 7:lH 9d4k dk4& 49H",
+"dk 49gk 9d7k 7k:d 7H9dk 7:gk 9d4M dk&4M 49HdM 49gM l97d 7:ld 7Tdl9 l:g7 9k6",
+"N 6Nk& 69kNB akN6& 691kN 6k:N 91k6NB :6akN 9Q6M Qk6& 6Q9Tk 6Qa9M 6Ql9 l6:Q ",
+"l69QT :Q6ls 69k(N k&N6+ 9k(6NB 6+9akN 91k6(N :6+kN 916k(BN akN:6+ 6Q9k( 6+Q",
+"9M 9QT6M( 9+Q6aM l69Q( :Q6l+ 6Q9lT( ls6:Q+ 69Wk Wk6& 6H9Wk 6H&Wk 6W91k 6W:k",
+" 9H16Wk :H6Wk 9W6M WM6& 6MZ9 6MZ& 6Wl9 l6:W l6Z9 Z6l: 6W9dk dk&6W 9HW6dk g6",
+"9Wk 9W16dk :W6+k 691HWkd g:6Wk 6WM9d dk&6Q Z69dk Z6&gk lW69d :Qdl6 lZ69d gl",
+"Z:6 9m4k km4& kmB49 akm49 9m7k 7k:m 7B9km 7:akm 9Q4k Qk4& 49QTk aMm49 p97l ",
+"7l:p 7lp9T 7sl:p km;49 km&4+ 49mk;B 49+akm 79km; 7:>km km;7B9 :>m7ak 49Qk; ",
+"k;&4Q 9Q;4Tk 49+aMm 7lp9; l>p7: l;p7T9 7spl>: 9W4k Wk4& 49HWk km&4H 9W7k 7k",
+":W 7H9Wk 7:HWk 9W4M Mm&6W 49Zk 4kZ& l97W 7:lW Z97l l:7Z 49vk 4kv& v69Hk gv6",
+"k& 79vk vk7: 7v9Hk :vkg7 49vM 6Mv& Zv69M Zv6k& v97l l:7v lvZ79 l:y7 6U 6U! ",
+"6UD 6Ua 6U1 6U8 1U6D 1U6a 6UM U!6M V6 V6a l6U 6Ul8 Vl6 s6V 6U( 6U+ 6(Dk U+6",
+"D 6(1U 1U6+ 6U1D( 6U+1D UM6( U+6M V6( V6+ 6Ul( 6Ul+ l(V6 V6l+ 6UE U!6E 6UH ",
+"UH6a 6E1U 6EU8 1U6H UH68 UM6E 6UM!E V6H 6HVa 6UlE l6U8E V6lH sHV6 6Ud U+6d ",
+"UH6d g6U 1U6d U86d 6UH1d 6Ug1 Ud6M 6U+dM V6d gV6 6Uld l+6Ud V6ld s6gV 4U6 6",
+"!4U 4Dk 6U4a 7U 7U8 7UD 7Ua 6U4M 4U6M! V46 4aV6 7lU l87U 7V 7Vs 6U; 6U4+ U;",
+"6D Ua6; 7U; 7>U U;7D 7D>k U;6M 4U+6M V6; 4+V6 7Ul; 7Ul> 7V; 7V> 4E6U 4U6!E ",
+"6U4H 4UH6a 7UE U87E 7UH UH7a 4U6ME 6UE4M! 4HV6 V46Ha lE7U 7lU8E 7VH Vs7H 6U",
+"4d 4U+6d UH6; 4Ug6 7Ud >U7d UH7d g7U 4Ud6M 6U+4dM 4dV6 V4g6 7Uld l>7Ud 7Vd ",
+"g7V 6UN U!6N 6NDk 6NUa 6N1U 6NU8 6U1DN 6U8DN 6UQ Q!6U V6Q 6QVa 6UlQ UQ68 lQ",
+"V6 sQV6 U(6N 6NU+ 6UD(N 6U+DN 6U1(N 6U+1N 1U(6DN 6UN1+D 6(UQ U+6Q 6QV( 6+VQ",
+" l6UQ( l+6UQ Vl6Q( l+V6Q 6UW 6!UW UH6W UW6a 1U6W UW68 6UH1W 6UHW8 UW6Q 6UWQ",
+"! Z6V ZaV6 6UlW lW6U8 VlZ6 VZs6 UW6d U+6W 6UHWd 6UgW 6UW1d 6U+1W 1UW6Dd g6U",
+"1W UQ6d 6U+WM VdZ6 Z6gV lW6Ud l+W6U Z6Vld gV6lZ 6Um 6!Um Um6D Ua6m 7Um U87m",
+" Um7D Ua7m 6U4Q 4UQ6! V6m 6aVm 7pU 78pU 7Vp Vp7s Um6; U+6m 4Dkm; 4+Dkm Um7;",
+" >m7U 7UDm; 7>UDm UQ6; 4U+6Q 6QV; 6+Vm 7;pU p>7U V;7p 7pV> 6U4W 4UW6! UH6m ",
+"4UW6a 7UW UW78 UH7W UW7a 4UW6Q Mm!6UW V4Z6 Z4V6a 7UlW 7pUW8 7ZV sZ7V v6U 6U",
+"v+ 4Dvk v6gU 7vU v>7U vU7H gU7v 6UvM v6U+Q Vv6 g6Vv 7Ulv 7vUl> 7Vv y7V t6 t",
+"6& t6D tc6 t61 t:6 6Dt1 c6t: t6M 6Mt& Vt6 c6V lt6 l6t: V6lt u6 t6( t+6 6Dt(",
+" c6t+ 61t( :6t+ t61D( t:c6+ 6Mt( 6+tM t(V6 V6t+ t6l( l6t+ ltV6( u6+ t6E 6&t",
+"E tH6 c6tH 61tE :6tE 6Ht1 t6:H 6MtE t6M&E V6tH cHV6 t6lE t:6lE l6tH u6H td6",
+" 6+td 6Htd gt6 6dt1 t6:d tH61d t:g6 6dtM t+6dM V6td c6gV l6td t:dl6 tdVl6 u",
+"g6 t4 t4& t4D tc4 7t 7t: 7tD 7ct t4M 4Mt& t4V Vtc4 7tl l:7t 7Vt u7 t4; t4+ ",
+"4Dt; c4t+ 7t; t>7 7Dt; 7ct> 4Mt; 4+tM V4t; V4t+ l;7t 7tl> t;7V u7> t4E 4&tE",
+" t4H c4tH 7tE tE7: 7tH tH7c 4MtE t4M&E V4tH tc4VH lE7t 7tl:E lH7t u7H t4d 4",
+"+td 4Htd gt4 7td 7:td 7Htd g7t 4dtM t4+dM V4td t4gV ld7t 7tdl> td7V ug7 t6N",
+" 6&tN 6DtN tNc6 61tN :6tN t61DN t:c6N tQ6 6Qt& V6tQ c6tQ l6tQ t6:Q tQVl6 u6",
+"Q 6(tN 6+tN t6D(N tc6+N t61(N t:6+N 6D1t(N :c6t+N 6Qt( 6+tQ tQV6( tcQ6+ tQ6",
+"l( t:Q6+ Vl6tQ( 6+uQ tW6 6Wt& 6HtW c6tW 6Wt1 t6:W tH61W t:H6W 6WtQ tW6Q& tZ",
+"6 Z6tc l6tW t:Wl6 Z6lt uZ6 6Wtd 6+tW tH6Wd tWg6 tW61d t:W6+ 6WDtd1 gt:6W 6Q",
+"td t+W6Q Z6td g6tZ tQdl6 t:Q6d tZl6d gZu6 t4m 4&tm 4Dtm c4tm 7tm 7:tm 7Dtm ",
+"tm7c t4Q 4Qt& V4tQ c4tQ tp7 :p7t 7Vtp up7 6mt; 4+tm t4Dm; tc4+m 7mt; 7>tm 7",
+"tDm; t>7cm 4Qt; 4+tQ t4VQ; tc4+Q 7pt; 7pt> tp7V; 7pu> t4W 4Wt& 4HtW c4tW 7t",
+"W 7:tW 7HtW tW7c 4WtQ t4WQ& tZ4 t4Zc lW7t 7tW:p tZ7 uZ7 tv4 v6t+ v6tH g4tv ",
+"tv7 7t:v tH7v tvg7 v6tQ tv4+Q t4Vv g4tZ 7tlv lvt7: 7Ztv yu7 < <! <B a< <. 8",
+"< <.B 8<a <K <K! T< T<a <j 8<j T<j s< <* +< *B< +<a <*. +<8 <.*B a<8* <*K +",
+"<K T<* +T< <j* +<j <jT* s<+ <E <E! H< H<a <E. 8<E H<. H8< <EK EK<! H<T HTa<",
+" <jE 8E<j H<j s<H <d +<d H<d g< <d. 8<d H.<d g<8 <dK +K<d T<d g<T <dj <d+j ",
+"<dHj gs< 4< 4<! 4<B 4a< 5< 48< 5<B 5a< 4<K <K4! 4T< T<4a 4j< 8<4j 5T< s4< =",
+" =+ =B =a =5 >= =B5 =a> =K =+K =T =T+ =j =j> =T5 s= 4<E <E4! 4H< H<4a 5<E 4",
+"E8< H5< H<48 <E4K 4<E!K H<4T 4HTa< 4E<j <jE48 H<4j 4Hs< =d =+d =H g= =5d >=",
+"d =H5 g=> =dK +d=K =HT g=T =jd =d>j =Hj s=g <N <N! <NB a<N <N. 8<N .B<N aN8",
+"< Q< Q<! Q<T Qa< Q<j Q8< QT<j s<Q <*N +<N <N*B +Na< *N<. +N8< *B<N. a*N8< Q",
+"<* +Q< T<Q* Qa+< <jQ* Q8+< <j*QT +Qs< W< W<! H<W Wa< W<. W8< H.W< W8H< W<Q ",
+"Q!W< Z< Z<a W<j Q8W< Z<j sZ< W<d +W< W<H* g<W W.<d W8+< <d.HW W8g< Q<d W<+Q",
+" Z<d gZ< <dWj W<+j <dZj sZg< <m <m! <mB a<m 5<m 8<m 5B<m a<8m 4Q< Q!<m T<m ",
+"Q<4a p< p<8 p<T sp< =m =+m =Bm =am =5m >=m 5m=B >m=a =Q =Q+ =QT =Qa p= p=> ",
+"p=T s=p 4W< 4!W< H<m W<4a 5W< W85< 5WH< Wa5< W<4Q <m!WQ Z4< 4aZ< p<W W8p< Z",
+"p< Zps< v= v=+ =Hv g=v v=5 v>= vH=5 v>g= =Qv v+=Q Z= Z=g p=v v>p= Z=p y= ,<",
+" <& ,<B ,a< ,<. ,8< <.,B 8<,a ,<K <&K ,T< T<& ,j< <&j T<,j s<& ,<* -< ,<*B ",
+"-a< <*,. -8< *B<,. 8<-a <*,K -<K ,<T* -T< ,<*j -j< <j*,T s-< ,<E <&E ,H< H<",
+"& <E,. ,E8< ,.H< H<,8 <E,K &E<K H<,T T<H& ,E<j <E&j H<,j ,Hs< ,d< -<d H<,d ",
+"g-< ,.<d 8<-d <d.,H -8g< ,K<d <d-K T<,d -Tg< <d,j <d-j <dj,H g<s- ,4 ,4& ,4",
+"B ,4a ,45 ,48 4B,5 48,a ,4K ,K4& ,4T 4T,a ,4j 48,j 4T,5 s4, =, -= =B, =a- =",
+"5, ->= ,5=B ->=a =,K -=K =T, =T- =j, =j- ,5=T s=- ,4E ,E4& ,4H 4H,a ,E5< ,E",
+"48 4H,5 4H,8 4E,K <&E4K 4H,T ,4HT& ,E4j <&j4E 4H,j ,4sH =d, -=d =H, g=- ,5=",
+"d =d-> ,H=5 ->g= ,d=K -d=K ,H=T g-=T ,d=j =d-j ,H=j s-g= ,<N <&N <N,B ,Na< ",
+"<N,. ,N8< ,<N.B <&N8a ,Q< Q<& Q<,T Q<,a Q<,j Q<,8 ,QT<j ,Qs< <*,N -<N *B<,N",
+" a<-N ,<*N. 8<-N ,<N*B. -8a<N ,<Q* -Q< ,QT<* Qa-< <j*,Q Q8-< ,QT<j* -Qs< ,W",
+"< W<& H<,W W<,a ,.W< W<,8 ,HW<. ,H8W< W<,Q Q<W& Z<, Z<& W<,j <&Wj ,jZ< Z<s,",
+" W<,d -W< ,HW<d -Wg< <d.,W W8-< ,HW<d. -W8g< Q<,d W<-Q ,dZ< Z-< <dj,W W<-j ",
+"Z<d,j s<Z- ,4m <m& 4B,m 4a,m 5<,m 48,m <mB,5 <m&5a ,4Q 4&,Q 4Q,T 4Q,a p<, p",
+"<& ,4pT p<s, =m, -=m ,m=B -m=a ,5=m >=-m =B5,m =a->m =Q, =Q- ,Q=T -Q=T p=, ",
+"-p= p,=T -ps= ,4W 4&,W 4H,W 4W,a 4W,5 4W,8 ,4H5W <m&H5 4W,Q <m&WQ Z4, ,4Z& ",
+",4pW W<p& p<Z, Z4s, v=, -v= v,=H -vg= =5v, v>-= =Hv,5 g=-v> v,=Q =Q-v Z=, Z",
+"-= v=p, p=-v Z,p= y-= <C <C! D< D<a <C. 8<C D<. D8< <CK CK<! D<T DTa< <jC 8",
+"C<j D<j s<D <*C +<C D<* +D< *C<. +C8< <*D. D8+< *C<K <C+K T<D* D<+T <C*j +C",
+"<j <jD* +Ds< <CE !C<E H<D HDa< CE<. <C8E H.D< D8H< EK<C <CE!K HDT< H<DTa jC",
+"<E <jC8E D<Hj H<sD <dC +C<d D<d g<D dC<. 8C<d D.<d D8g< <CdK <dC+K T<Dd D<g",
+"T <Cdj <dj+C <dDj gDs< 4<C <C4! 4D< D<4a 5<C 4C8< 5D< D85< <C4K 4<C!K D<4T ",
+"4DTa< 4C<j <jC48 D<4j 4Ds< =C =+C =D =D+ =5C >=C =D5 =D> =CK +C=K =DT +D=T ",
+"=jC >C=j =Dj s=D <C4E 4<C!E H<4D 4HDa< <C5E 48<CE 5DH< 4H8D< 4<CEK <CE4K! 4",
+"HDT< H<D4Ta <jC4E 48C<jE 4HjD< s<H4D =dC +d=C =HD g=D 5d=C =d>C H5=D g>=D d",
+"K=C =+dCK Dd=T gD=T dj=C =j>dC Hj=D gs=D <CN !C<N D<N DNa< N.<C <N8C <ND. D",
+"N8< Q<C <CQ! QD< D<Qa QC<j QC8< DjQ< QDs< *C<N <C+N <*DN +ND< <*CN. +<8CN D",
+"<*N. +D<8N <*QC +CQ< D<Q* QD+< <j*QC +Q<8C QD<*j s<+QD W<C <CW! WD< D<Wa <C",
+"W. WC8< W.D< D8W< WCQ< W<Q!C Z<D D<Za WC<j W8<QC D<Zj sDZ< WC<d +CW< D<W* W",
+"Dg< <dCW. +W<8C WD<d. g<WD8 QC<d +W<QC D<Z* gDZ< <djWC +W<jC Z<Ddj gZ<sD <m",
+"C <!mC D<m a<Dm 5C<m 8C<m Dm5< 8<Dm 4CQ< <mCQ! Q<4D 4QDa< p<C 8<pC pD< pDs<",
+" =mC +m=C =Dm +D=m 5m=C =m>C 5D=m >m=D =QC +Q=C =QD +Q=D p=C >Cp= p=D sp=D ",
+"4CW< <mCW! W<4D 4WDa< 5CW< 4W8<C WD5< 4WD8< <mCWQ W<C4Q! 4DZ< Z4Da< W<pC p<",
+"W8C pDZ< Zp<sD v=C v+=C =Dv gv=D v5=C >Cv= =5vD v>=D vQ=C =Qv+C Z=D =DgZ =C",
+"pv p=v>C Zp=D y=D b< b<& ,D< c< b<. b8< ,.D< c<8 b<K bK<& bT< c<T b<j 8<bj ",
+"D<,j sc< b<* -b< D<b* c-< <*b. b8-< ,D<*. -8c< <*bK b<-K T<b* -Tc< <jb* b<-",
+"j ,Dj<* c-s< b<E bE<& bH< c<H <Eb. bE8< b.H< H8c< <EbK <&EbK H<bT H<cT bE<j",
+" <&jbE H<bj sHc< b<d b<-d H<bd gc< b.<d 8<bd ,Dd<. g8c< bK<d -b<dK T<bd gTc",
+"< <dbj -jb<d <dj,D scg< ,4b b<4& ,4D c4< b5< 4b,8 4D,5 c5< ,K4b <&K4b 4b,T ",
+",4cT 4b,j <&j4b 4D,j c4s< =b =b- =bD c= =b5 =b> ,5=D c=> =bK -b=K =bT c=T =",
+"bj -j=b ,D=j s=c ,E4b <&E4b 4b,H ,4cH bE5< ,48bE H5b< H5c< ,4bEK 4bE<&K ,4H",
+"bT c4H,T ,4jbE <&E4bj ,4Hbj c5<sH =bd -b=d =bH c=g b5=d =d>b bH=5 c>g= bd=K",
+" =b-dK bH=T gc=T bd=j =b>dj bH=j gsc= b<N bN<& ,ND< c<N <Nb. bN8< ,D<N. 8<c",
+"N bQ< Q&b< QDb< cQ< Q<bj Q8b< ,QD<j cQs< <*bN b<-N ,D<*N -<cN b<*N. -b8<N D",
+"<Nb*. c-8<N Q<b* bQ-< ,QD<* -Qc< bQ<*j -Qb8< QD<b*j s-cQ< bW< W&b< H<bW cW<",
+" b.W< W8b< ,WD<. W8c< W<bQ bW<Q& Zb< Zc< W<bj <&jbW b<Zj s<Zc W<bd bW-< ,WD",
+"<d cWg< bW<d. -Wb8< <d.,WD c-W8< Q<bd -WbQ< b<Z* g<Zc <djbW -Wjb< Zb<dj Zc<",
+"s- b<m <&bm 4D,m c<m 5<bm 8<bm ,4D5m 5<cm 4b,Q <m&bQ 4Q,D ,4cQ pb< b8p< ,4p",
+"D cp< =bm -m=b ,D=m c=m b5=m >m=b =b5Dm >=cm =bQ -Q=b ,Q=D c=Q p=b =b-p pb=",
+"D cp= 4b,W <m&bW 4W,D ,4cW 5Wb< ,4Wb8 ,4W5D 5Wc< ,4WbQ bW<4Q& ,4Zb c4Z< bWp",
+"< pb<W8 pbZ< Z<cp =bv =b-v vb=H cv= =5vb v>=b =bvH5 v>c= vb=Q -v=bQ Z=b Z=c",
+" pv=b -pv=b Zp=b yc= 6< 6!< 6<B 6a< 1< 68< 1<B 1a< 6<K <K6! 6T< T<6a 6j< 8<",
+"6j 1T< s6< 6* 6+< 6*B 6a* 6*1 68* *B1< 1a6* 6*K 6K+< 6T* +T6* 6*j +<6j 1T6*",
+" s6* 6<E <E6! 6H< H<6a 1<E 6E8< 1H< H81< <E6K 6!<EK H<6T 6HTa< 6E<j <jE68 H",
+"<6j 6Hs< 6d< +<6d 6H* g6< 1<d +<1d 1H6* g1< 6K<d <dK6+ H*6T 6Tg< <d6j <dj6+",
+" H*6j s6g< 46< 4<6! 6<4B 46a< 7< 78< 7B< 7a< 6<4K 6!4<K 46T< 4T6a< 7<j 8<7j",
+" 7T< 7s< =6 =6+ =B6 =a6 7= 7>= 7=B =a7 =6K 6+=K =T6 6+=T =j7 7>=j =T7 s=7 6",
+"<4E 6!4<E 46H< 4H6a< 7<E 8<7E 7H< H87< 46<EK 4<E6!K 4H6T< 6HT4a< <j7E 78<jE",
+" H<7T 7Hs< =6d 6+=d =H6 g=6 7=d >=7d =H7 g7= 6d=K =6+dK 6H=T g6=T 7d=j 7>=d",
+"j 7H=T s=g7 6<N <N6! <N6B 6Na< 1<N 6N8< <N1B 1Na< 6Q< 6!Q< Q<6T Q<6a 1Q< Q8",
+"1< Q<1T 6Qs< 6*N 6N+< 6N*B 6Na* 6N1* 6N8* 6*1NB 68*aN 6Q* +Q6* Q*6T Qa6* 1Q",
+"6* +Q1< 6Q*1T 6Qs* 6W< 6!W< H<6W W<6a 1W< W81< H<1W Wa1< W<6Q 6WQ<! Z6< 6aZ",
+"< W<6j 6W8Q< Z1< Z6s< 6W* +W6* H*6W 6Wg< 1W6* +W1< 6H*1W 1Wg< W*6Q 6+WQ< Z6",
+"* Z6g< W*6j 6+W<j 6*Z1 Z6s* 6m< 6!<m 6B<m a<6m 7<m 8<7m <m7B a<7m Q<6m <m!6",
+"Q T<6m 4Qa6< 7p< 78p< p<7T 7ps< =6m 6+=m 6m=B 6a=m 7=m >m7= =m7B =m7a =Q6 6",
+"+=Q 6Q=T 6Q=a p=7 7>p= 7p=T p=7s W<6m <m!6W H<6m 4Wa6< 7W< W87< H<7W Wa7< 4",
+"WQ6< 6WQ<m! 6mZ< Z46a< p<7W 7pW8< 7Z< s<7Z v=6 =+v6 v6=H v=g6 7v= v>7= =H7v",
+" 7vg= v6=Q =Qv6+ Z=6 g6Z= p=7v 7p>v= 7Z= y7= ? ?& ?B ?a ?1 ?: ?B1 ?:a ?K ?&",
+"K ?T ?Ta ?j ?:j ?T1 s? ?* ?- ?B* ?-a ?1* ?:- 1*?B :-?a ?*K ?-K ?T* ?-T ?j* ",
+"?-j 1T?* s?- ?E ?&E ?H ?Ha ?1E ?:E ?H1 ?:H ?EK &E?K ?HT H&?T ?jE :j?E ?Hj s",
+"?H ?d ?-d ?Hd g? ?d1 ?:d 1H?d g?: ?dK -d?K ?Td g?T ?dj :d?j 1T?d g?s ?4 ?4&",
+" ?B4 ?a4 7? ?:7 7?B ?a7 ?4K 4&?K ?T4 4T?a ?j7 7:?j ?T7 s?7 ?= ?-= ?=B =a? ?",
+"=7 A =B7? Aa ?=K =K?- =T? ?-=T =j? Aj ?T=j As ?4E 4&?E ?H4 4H?a 7?E ?E7: ?H",
+"7 7:?H 4E?K ?4&EK 4H?T ?H4T& 7j?E ?:7jE 7H?T ?H7s ?=d -=?d =H? g?= ?d7 Ad 7",
+"?=H Ag =K?d ?-=dK ?H=T =Tg? ?d=j Ajd ?H=j Ags ?N ?&N ?BN ?aN ?1N ?:N 1N?B :",
+"a?N ?Q ?Q& ?QT ?Qa ?Q1 ?:Q 1Q?T s?Q ?*N ?-N *B?N -a?N 1*?N ?N:- ?B1*N ?:-aN",
+" ?Q* ?-Q Q*?T -Q?T 1Q?* :-?Q ?Q1T* ?Qs- ?W ?W& ?HW ?Wa ?W1 ?:W 1H?W :H?W ?W",
+"Q W&?Q ?Z ?Za ?Wj :W?Q ?Z1 s?Z ?Wd ?-W H*?W g?W 1W?d :-?W ?H1W* ?Wg: ?Qd -W",
+"?Q ?Zd g?Z 1Q?d :Q?d Z1?d Z:g? ?m ?m& ?mB ?am ?m7 ?:m 7B?m 7a?m ?Q4 4Q?& ?T",
+"m 4Q?a ?p ?p: ?pT s?p ?=m ?-m =B?m ?m=a 7=?m Am ?=7mB Aam =Q? ?-=Q ?Q=T ?Q=",
+"a ?p= Ap =T?p Aps ?W4 4W?& ?Hm 4W?a ?W7 7:?W 7H?W 7W?a 4W?Q ?W4Q& ?Z4 Z4?a ",
+"?pW ?W:p ?Zp 7Zs? ?v ?v- ?vH g?v ?v7 Av ?H7v Agv ?vQ ?Q-v ?Zv Z-?v ?pv Apv ",
+"7Z?v yA 6<C <C6! 6D< D<6a 1<C 6C8< 1D< D81< <C6K 6!<CK D<6T 6DTa< 6C<j <jC6",
+"8 D<6j 6Ds< 6*C 6C+< 6D* +D6* 6C1* 6C8* 1D6* +D1< *C6K 6+<CK D*6T 6+DT< 6C*",
+"j 6+j<C D*6j 6Ds* <C6E 6!<CE H<6D 6HDa< <C1E 68<CE H<1D 6H8D< 6<CEK <CE6!K ",
+"6HDT< H<D6Ta <jC6E 68C<jE 6HjD< s<H6D 6C<d <dC6+ H*6D 6Dg< 1C<d 68d<C D<1d ",
+"1Dg< <dC6K 6+C<dK 6H*DT g6DT< <dj6C <dC6+j <dj6D gs6D< 6<4C 6!4<C 46D< 4D6a",
+"< 7<C 8<7C 7D< D87< 46<CK 4<C6!K 4DT6< 6DT4a< <j7C 78<jC D<7T 7Ds< =6C 6+=C",
+" =D6 6+=D 7=C >C7= =D7 7>=D 6C=K =6+CK 6D=T =D6+T 7j=C 7>=jC 7D=T =D7s 46<C",
+"E 4<C6!E 4H6D< 6HD4a< <C7E 78<CE H<7D 7HD8< 6<C4EK 4<6!EKC 6HD4T< HD6a4T< 7",
+"<jCE <jC78E 7HDT< 7sHD< 6d=C =6+dC 6H=D g6=D =C7d 7>=dC 7H=D =Dg7 =6dCK 6+d",
+"=CK =H6DT g=6DT 7=djC =j>7dC 7Dd=T g7s=D <C6N 6!<CN 6ND< 6Da<N <C1N 68<CN 1",
+"ND< 6D8<N 6CQ< 6Q<!C Q<6D 6QDa< 1CQ< 6Q8<C QD1< s<Q6D *C6N 6+<CN 6ND* 6+D<N",
+" 6*1CN 68*CN 6D*1N 6D8*N 6CQ* 6+Q<C QD6* 6+QD< 6Q*1C 6Q8*C 6QD1* s6*QD 6CW<",
+" 6W<!C W<6D 6WDa< 1CW< 6W8<C WD1< 6WD8< 6WQ<C W<C6Q! 6DZ< Z6Da< 6Wj<C <jC6W",
+"8 1DZ< Z1<sD 6CW* 6+W<C WD6* g6WD< 6W*1C 6W8*C 6WD1* g1<WD 6W*QC <dC6+Q 6DZ",
+"* Z6*gD 6W*jC <dC6Q8 Z6*1D Z6*sD 6C<m <mC6! D<6m 6Dma< <m7C 78<mC D<7m 7D8<",
+"m <mC6Q 6QC<m! 4QD6< QD<6am 7Cp< 7p8<C p<7D 7pDs< 6m=C =6+mC 6D=m =D6+m 7m=",
+"C 7>=mC =m7D 7>D=m 6Q=C =Q6+C 6Q=D =QD6+ =C7p 7p>=C 7p=D p=D7s <mC6W 6WC<m!",
+" 4WD6< WD<6am W<7C 7W8<C WD7< 7WD8< 6WQ<mC WQ4C6!< Z46D< 6DmZ<a 7pW<C p<87W",
+"C Z<7D 7ZsD< =Cv6 v=6+C v6=D g=v6D =C7v 7v>=C =D7v 7vDg= =Qv6C v6+=QC Z6=D ",
+"Z=g6D 7vp=C p=>7vC =D7Z =Dy7 ?b ?b& ?D ?c ?b1 ?:b ?D1 ?c: ?bK bK?& ?DT ?cT ",
+"?jb :b?j ?Dj s?c ?b* ?-b ?D* ?c- b1?* ?b:- 1D?* :c?- b*?K -b?K bT?* c-?T b*",
+"?j ?b-j D*?j ?cs- ?bE b&?E ?Hb ?cH b1?E :b?E b1?H :c?H bK?E ?b&EK bH?T cH?T",
+" bj?E ?:bjE bH?j ?Hsc ?db -b?d ?Dd g?c b1?d ?b:d 1D?d ?cg: bd?K ?-bdK bT?d ",
+"?Tgc bd?j ?:dbj Dd?j gs?c ?4b 4b?& ?D4 ?c4 7?b 7b?: ?D7 7c? 4b?K ?4b&K 4b?T",
+" c4?T 7b?j ?:7bj 7b?T 7cs? =b? ?-=b =D? c=? =b7 Ab 7?=D Ac ?b=K ?-=bK ?D=T ",
+"=T?c ?j=b Ajb ?D=j Asc 4b?E ?4b&E 4b?H c4?H ?E7b ?:7bE 7b?H ?H7c ?4bEK 4b&?",
+"EK ?H4bT ?c4HT ?j7bE 7:b?jE ?H7bT s?7cH ?d=b ?-=bd ?H=b c=g? 7b?d Abd 7b=H ",
+"Agc ?=dbK =b-?dK ?Dd=T c=?gT ?d7bj bdAj ?Hj=b gsAc ?bN b&?N ?DN ?cN b1?N :b",
+"?N 1D?N ?N:c ?Qb bQ?& ?QD ?cQ b1?Q ?b:Q 1Q?D ?Qsc b*?N -b?N D*?N ?Nc- ?b1*N",
+" ?:-bN ?D1*N ?c:-N bQ?* ?b-Q QD?* c-?Q ?Qb1* ?:Q-b ?QD1* ?cQs- ?Wb bW?& ?WD",
+" ?cW b1?W ?b:W 1W?D :c?W bW?Q ?WbQ& ?Zb ?Zc bW?j ?:WbQ Zb?j ?cZ: bW?d ?b-W ",
+"WD?d ?Wgc ?Wb1d ?:W-b ?WD1d ?cWg: bQ?d ?-WbQ Zb?d ?cZ- ?Wjbd ?:Qbd ?Zb1d g?",
+"Zsc ?mb bm?& ?Dm ?cm 7b?m ?b:m 7D?m ?m7c 4b?Q ?Q4b& 4Q?D c4?Q ?pb pb?: ?pD ",
+"?pc ?m=b ?b-m ?m=D ?mc= =m7b Abm ?D7=m Acm ?Q=b ?-Q=b ?Q=D =Q?c =b?p Apb =D",
+"?p Apc 4b?W ?W4b& 4W?D c4?W 7b?W ?:W7b 7W?D ?W7c ?W4bQ 4bW?Q& Z4?D ?mZc pb?",
+"W ?p:bW ?D7Z 7c?Z ?vb vb?- ?vD ?vc =b7v Avb ?D7v Acv vb?Q ?v-bQ =b?Z cv?Z p",
+"b?v pvAb =b7Z yAc <L <L! <LB a<L <L. 8<L .B<L 8La< <M <M! T<M a<M <Mj 8<M T",
+"M<j s<M <*L +<L <L*B +La< *L<. +L8< *B<L. a*L8< <M* +<M <MT* T<+M M*<j 8<+M",
+" <M*Tj +<sM <EL !E<L H<L HLa< EL<. <E8L <LH. HL8< <ME <!ME H<M a<HM Mj<E 8E",
+"<M <MHj H<sM <dL +L<d HL<d g<L dL<. 8L<d <dLH. 8<gL <dM <d+M <dHM g<M dM<j ",
+"<d8M <dMHj s<gM 4<L <L4! <L4B 4La< 5<L 4L8< <L5B 5La< 4M< 4!<M T<4M a<4M 5<",
+"M 8<4M T<5M 4Ms< =L =+L =BL =aL =5L >=L 5B=L >L=a =M =M+ =TM =aM =M5 >M= 5T",
+"=M s=M <E4L 4<E!L 4LH< 4Ha<L <E5L 48<EL HL5< 4H8<L 4E<M <ME4! H<4M 4HMa< 5E",
+"<M 48M<E 5<HM s<H4M =dL +d=L =HL g=L 5d=L =d>L H5=L >Lg= =Md +M=d =HM g=M 5",
+"d=M =d>M H5=M >Mg= <LN !L<N NB<L <LaN N.<L <N8L <LN.B 8<aLN Q<M Q!<M QT<M a",
+"MQ< QM<j 8MQ< <MjQT Q<sM *L<N <L+N *B<LN a*L<N <*LN. +<8LN <LN*B. 8<La*N <M",
+"Q* Q<+M <M*QT aM*Q< <M*Qj +Q<8M Q<TM*j s<+QM W<L <LW! HLW< WLa< <LW. WL8< H",
+"<WL. H8<WL W<M W!<M Z<M a<ZM <MWj 8<WM <MZj sMZ< WL<d +LW< <dLHW W<gL <dLW.",
+" +W<8L W<LH*. g<W8L <dWM W<+M <dZM Z<gM <dMWj <dMW8 Z<dMj gZ<sM <mL <!mL mL",
+"<B aL<m 5L<m 8L<m <mL5B 5a<mL <Mm <!Mm <MTm <Mam p<M 8<pM T<pM sMp< =mL +m=",
+"L mL=B am=L 5m=L =m>L =B5mL =a>mL =QM +Q=M Tm=M Qa=M p=M >Mp= pT=M sp=M 4LW",
+"< <mLW! HL<m 4Wa<L 5LW< 4W8<L H5<WL H8<mL W<4M <MmW! 4MZ< Z4a<M W<pM p<W8M ",
+"ZMp< Zp<sM v=L v+=L vH=L =Lgv v5=L >Lv= =Hv5L g=v>L =Mv =+vM Z=M =MgZ pv=M ",
+"v>=M Zp=M y=M ,<L <&L <L,B ,La< <L,. ,L8< ,<L.B <&L8a ,M< <M& T<,M a<,M <M,",
+"j 8<,M <Mj,T ,Ms< <*,L -<L *B<,L a<-L ,<*L. 8<-L ,<L*B. -8a<L ,<M* -M< <M*,",
+"T T<-M <M*,j 8<-M ,T<M*j -Ms< <E,L &E<L ,LH< HL<& ,<EL. <&E8L ,H<L. ,H8<L ,",
+"E<M <EM& H<,M <MH& <Mj,E <M&8E ,HM<j s<H,M ,L<d <d-L <dL,H -<gL <dL,. -8<dL",
+" ,HL<d. g-8<L <d,M <d-M <dM,H -Mg< <dM,j -M8<d ,HM<dj s-g<M ,4L ,L4& 4B,L ,",
+"L4a ,L5< ,L48 ,45LB ,48aL ,4M 4&,M 4T,M 4a,M 4M,5 48,M ,4T5M ,4sM =,L -=L ,",
+"L=B -a=L ,5=L >L-= =B5,L =a->L =M, =M- ,T=M -T=M ,5=M ->=M =T5,M =Ms- 4E,L ",
+"<&E4L ,L4H ,4HaL ,45EL ,48EL ,4H5L ,4H8L ,E4M <M&4E 4H,M <M&4H ,4M5E <M&5E ",
+",4H5M s4,HM ,d=L -d=L ,H=L =Lg- =5d,L ->=dL =H5,L g=->L ,d=M =d-M ,H=M g-=M",
+" =M5,d >M-=d =HM,5 g=Ms- <L,N &L<N ,<LNB <&LaN ,<LN. <&L8N <LN,.B 8<L,aN Q<",
+",M <MQ& ,QT<M <M&Qa <Mj,Q <M&Q8 ,QT<Mj s<Q,M ,<*LN <L-N ,<L*BN -a<LN <*L,N.",
+" -8<LN NB*L,<. 8<a-LN <M*,Q Q<-M ,QT<M* -QT<M ,Q<M*j -Q8<M QTM*,j< s-Q<M ,L",
+"W< WL<& ,HW<L ,Wa<L ,W<L. ,W8<L H<L,W. ,HLW8< W<,M <MW& ,MZ< <MZ& ,WM<j <M&",
+"W8 Z<M,j Z<&sM <dL,W W<-L ,HW<dL -W<gL ,WL<d. -W8<L W.<d,HL g<8-WL <dM,W W<",
+"-M Z<d,M -MZ< ,WM<dj -WM8< <dMZ,j Z-s<M ,L<m <Lm& <mL,B <m&aL <mL,5 <m&5L ,",
+"5L<mB amL,48 4Q,M Mm<& <Mm,T aMm,4 ,4pM <Mp& p<T,M p<&sM ,m=L =L-m =Bm,L =a",
+"-mL =5m,L ->=mL ,5m=BL ->m=aL ,Q=M -Q=M =QT,M =Q-aM p,=M =M-p p=T,M -ps=M ,",
+"L4W <m&WL ,4HWL <m&HL ,4W5L ,4W8L <mL,H5 <mL,H8 4W,M <MmW& ,4ZM Z4&,M p<W,M",
+" p<&WM Zp<,M Zp<M& =Lv, =L-v =Hv,L g=-vL v=5,L -v>=L v,5=HL -v>g=L v,=M =M-",
+"v Z,=M =MZ- p=v,M -pv=M Z=p,M =My- U< U<! U<D Ua< U<. U8< U.D< D8U< U<M U!<",
+"M V< V<a U<j 8<Uj V<j s<V U<* U+< D<U* +DU< <*U. +<U8 U<D*. U+<D8 <MU* +MU<",
+" V<* V+< <jU* +<Uj <jV* V+s< U<E <EU! UH< H<Ua <EU. UE8< U.H< H8U< UE<M <ME",
+"U! V<H H<Va UE<j U8<ME H<Vj sHV< U<d +<Ud H<Ud gU< U.<d 8<Ud UH<d. U8g< <MU",
+"d <dMU+ V<d gV< <dUj <dMU8 <dVj s<gV 4U< 4!U< U<4D U<4a U5< U<48 5DU< 5aU< ",
+"U<4M <M!4U V4< 4aV< U<4j 4U8<M V5< V4s< =U =U+ =UD =Ua =U5 =U> U5=D >U=D =U",
+"M U+=M V= V=+ =Uj =U>M V=5 s=V 4EU< 4U<!E U<4H 4UHa< UE5< 4U8<E H5U< 4UH8< ",
+"<ME4U 4UE<M! 4HV< V4Ha< 4Uj<E <ME4U8 H5V< s<V4H =Ud U+=d =UH g=U U5=d =d>U ",
+"UH=5 g>=U Ud=M =U+dM V=H V=g Ud=j >M=Ud V5=H gVs= U<N <NU! UND< UNa< <NU. U",
+"N8< U<DN. U8<DN UQ< Q!U< V<Q QaV< Q<Uj Q8U< Q<Vj sQV< <*UN UN+< U<D*N U+<DN",
+" U<*N. U+<8N D<NU*. a*NU8< Q<U* +QU< Q<V* +QV< UQ<*j U+Q8< V<Q*j s<V+Q UW< ",
+"U!W< H<UW WaU< U.W< W8U< UH<W. UH8W< W<UQ UW<Q! Z<V ZaV< W<Uj UW8Q< ZjV< VZ",
+"s< W<Ud +WU< UH<W* UWg< UW<d. U+W8< UHW<d. gU<W8 Q<Ud U+WQ< V<Z* Z<gV <djUW",
+" U+W<j Z<Vdj gV<sZ U<m U!<m D<Um a<Um 5<Um 8<Um U5<Dm U5a<m U<4Q <MmU! V<m ",
+"a<Vm pU< U8p< Vp< s<Vp =Um U+=m Um=D Ua=m U5=m >m=U =U5Dm =U>Dm =UQ U+=Q V=",
+"Q V+=Q p=U p>=U V=p Vps= U<4W 4UW<! H<Um 4UWa< 5WU< 4UW8< UH5W< UH8<m <MmUW",
+" <M!4UW V4Z< Z4Va< UWp< pU<W8 Z<Vp Vp<sZ =Uv =+vU vU=H gv=U =5vU v>=U =UvH5",
+" g=Uv> vU=Q =Uv+Q Z=V gVZ= pv=U p=Uv> VpZ= yV= ,U< U<& U<,D c<U ,.U< U8b< ,",
+"UD<. U8c< b<M <MU& V<b c<V U<,j 8<bM ,jV< Vsc< U<b* -U< ,UD<* -Uc< ,U<*. U8",
+"-< U<Db*. c-U8< <Mb* b<-M b<V* V-< ,Uj<* U<-j V<b*j s<V- ,EU< UE<& UHb< UHc",
+"< ,U<E. ,U8<E ,UH<. c<UH8 bE<M <M&bE ,HV< cHV< ,Uj<E <&jUE V<bHj s<VcH U<,d",
+" U<-d ,UH<d c<gU ,Ud<. -U8<d <d.,UH gc<U8 <dbM -U<dM ,dV< g<V- <dMbj -Uj<d ",
+"V<d,j V-gs< ,4U 4&,U 4U,D ,4cU 4U,5 4U,8 ,4U5D U5c< 4b,M <M&4b V4, V4c< 4U,",
+"j <M&b5 ,4V5 V4s, =bU =U- ,U=D c=U ,U=5 ->=U =bU5D =Uc> =bM -U=M V=b c=V ,U",
+"=j =b>M V5=b V-s= ,E4U ,4U&E 4U,H c4U,H ,4U5E ,4U8E ,4UH5 c5<UH ,4UME <ME4U",
+"& ,4VH c4V,H ,4UjE <ME4b8 V4,H5 s,V4H ,U=d =d-U ,U=H gc=U =bU5d =b>Ud =bHU5",
+" c=g>U bd=M =bM-d Vd=b gVc= =bM5d >M=bd V=bH5 c=Vgs ,NU< UN<& ,UD<N U<cN ,U",
+"<N. ,U8<N U<N,D. c<U8N UQb< Q<U& ,QV< V<cQ ,UQ<j <&jUQ V<bQj s<VcQ ,U<*N U<",
+"-N U<Db*N c-U<N U<Nb*. -U8<N ,NU<D*. -U8c<N ,UQ<* UQ-< V<bQ* V<-Q UQ<b*j -U",
+"Q8< bQ<V*j V-sQ< UWb< W<U& ,UHW< UWc< ,UW<. ,UW8< ,U.WD< cW<U8 W<bM <M&bW V",
+"<Zb VZc< ,UW<j <&jUW Zb<Vj Zc<Vs ,UW<d UW-< UH<bW* c-WU< <d.,UW -UW8< ,.UHW",
+"<d cW8gU< <dMbW -UWQ< Zb<Vd Z<V- ,UW<dj -UW<j ZbjV<d Z-Vs< 4U,m <mU& ,4UDm ",
+"U<cm ,4U5m <m&U5 U5<,Dm c5<Um 4U,Q <MmU& ,4Vm V<cm ,4pU U<p& pbV< c<Vp ,U=m",
+" -m=U =bUDm cm=U =bU5m =b>Um ,U5=Dm c=>Um ,U=Q -U=Q Vm=b =QV- pb=U =U-p =bV",
+"p V=cp 4U,W <m&UW ,4UHm c4W,U ,4U5W ,4UW8 4UH,5W c5WU< <MmbW 4bW<M& V4Z, Zc",
+"4V< pb<UW pU<W& Vp<Zb cp<VZ vb=U =U-v =bvUH =Ucv =bvU5 -vU>= =U5vD, cv=>U v",
+"b=M -vU=Q =bVv V-Z= p=bvU -pUv= Vv,p= c=yV <k <k! <kB a<k 1<k 8<k 1B<k a<8k",
+" 6M< 6!<M T<k a<6M l< l<8 l<T ls< 6*k +<k *B<k a<+k <k1* +k1< <kB1* ak*68 6",
+"M* +<6M Tk6* T<+k l<* l+< 6Tl* s6l* <kE <!kE H<k a<Hk 1E<k 8E<k Hk1< 8<Hk 6",
+"E<M <kEM! H<6M 6HMa< l<E 8<lE lH< s<lH <dk <d+k Hk6* g<k <k1d <d8k <dk1H 1<",
+"gk <d6M <dk+M HM6* 6Mg< l<d +<ld 6Hl* gl< 4k< 4!<k 4B<k a<4k 7<k 8<7k <k7B ",
+"a<7k <k4M <k!4M T<4k 4Tka< l<7 78l< 7Tl< l<7s =k =k+ =kB =ak =k7 >k= 7B=k =",
+"a>k =kM 6+=M =Tk 6a=M l= l=> l=T l=s 4E<k <kE4! H<4k 4Hka< <k7E 78<kE H<7k ",
+"7H8<k <kE4M 4kE<M! 4HkT< H<k4aM 7<lE 7l8<E 7Hl< 7slH< =kd +k=d =Hk g=k 7d=k",
+" =d>k 7H=k >kg= 6d=M =k+dM 6H=M g6=M l=d >=ld l=H gl= <kN <!kN kN<B aN<k 1N",
+"<k <N8k <kN1B 1a<kN Q<k Q!<k T<Qk a<Qk l<Q Q8l< Q<lT lQs< 6Nk* +N<k <kN*B a",
+"k*6N <kN1* 68*kN 1<Nk*B akN68* Qk6* Q<+k 6Q*Tk ak*6Q 6Ql* +Ql< l<QT* ls<+Q ",
+"W<k W!<k W<Hk a<Wk Wk1< 8<Wk 1H<Wk 1Wa<k W<6M 6WM<! Z<k a<Zk lW< W8l< lZ< s",
+"Zl< Wk6* W<+k <dkHW W<gk <dk1W <dkW8 H<k1W* g1<Wk WM6* <dk+Q 6MZ* Z<gk 6Wl*",
+" +Wl< Z6l* l<gZ <km <!km <Bkm <kam <k7m <k8m 7B<km 7a<km Q<4k <kmQ! <kTm ak",
+"mQ< l<p l8p< lTp< spl< =km +k=m km=B ak=m 7k=m >m=k 7=mkB >k=am =Qk +Q=k Qk",
+"=T Qa=k l=p p=l> lp=T lsp= W<4k <kmW! <kHm akmH< W<7k 7W8<k 7HW<k 7Wa<k <km",
+"WM <k!4WM 4kZ< Z4ka< 7Wl< lW78< l<7Z lZ<7s =kv =+vk vk=H gv=k =k7v v>=k 7v=",
+"Hk g=k7v v6=M =Qkv+ Z=k =kgZ lv= v>l= l=Z yl= ?k ?k& ?Bk ?ak ?1k ?:k 1k?B :",
+"a?k ?M ?M& ?Tk ?aM l? l?: l?T s?l ?k* ?-k k*?B -k?a 1*?k -k?: ?B1k* ?:-ak ?",
+"M* ?-M Tk?* -T?M l?* l-? ?Tl* s?l- ?kE k&?E ?Hk Hk?a 1k?E :k?E 1H?k ?k:H ?M",
+"E M&?E ?HM HM?a l?E lE?: l?H lHs? ?dk -k?d Hk?d g?k 1d?k ?k:d ?H1dk ?:gk ?d",
+"M -M?d HM?d g?M l?d ?:ld ?Hld gl? ?4k 4k?& 4k?B 4a?k 7?k ?k7: ?k7B ?k7a ?M4",
+" 4M?& 4T?M 4a?M l?7 7l?: 7l?T l?7s =k? =k- ?B=k ?a=k 7?=k Ak ?=7kB Aak =M? ",
+"?-=M ?T=k ?a=M l=? Al =Tl? Als 4k?E ?4k&E 4H?k ?H4ak 7k?E ?:7kE ?k7H ?:H7k ",
+"4M?E ?M4&E 4H?M ?HM4a lE7? l?7:E 7l?H l?H7s ?d=k =d-k ?H=k =kg? ?k7d Adk ?H",
+"7=k Agk ?d=M ?-M=d ?H=M =Mg? ?=ld Ald =Hl? Alg ?kN k&?N kN?B ak?N 1k?N :k?N",
+" ?B1kN ?:akN ?Qk Qk?& Qk?T Qa?M l?Q ?Ql: lQ?T ?Qls k*?N ?N-k ?Bk*N ?-akN ?1",
+"k*N ?:-kN k*N?B1 :-k?aN Qk?* -Q?M ?QTk* ?-QTk ?Ql* ?Ql- l?QT* l-?sQ ?Wk Wk?",
+"& Hk?W Wa?k 1W?k ?k:W ?H1Wk ?:HWk ?WM WM?& ?Zk Zk?a l?W ?:lW ?Zl l?Z: Wk?d ",
+"-k?W ?HWdk ?Wgk ?W1dk ?:W-k 1H*?Wk g?:Wk WM?d -W?M Zk?d gk?Z ?Wld ?-lW ld?Z",
+" ?Zgl ?mk km?& km?B ak?m 7k?m ?k:m ?m7kB ?:mak ?Mm Mm?& Tk?m aM?m ?pl l?:p ",
+"lp?T ls?p ?m=k -k?m ?=mkB ?-mak ?=7km Akm 7=B?mk akAm ?Q=k -Q=k ?Tm=k ?-Tkm",
+" ?pl= Alp l=?pT lsAp 4W?k ?W4k& Hk?m ?Hmak ?k7W ?:W7k ?H7Wk ?:Hkm 4W?M ?WM4",
+"& Z4?M ?Z4ak lW?p l?W:p l?7Z s?Z7l ?vk =k-v vk?H gk?v vk7? Avk ?v7Hk gvAk ?",
+"vM ?M-v =k?Z =kZ- lv? Alv ?Zlv yAl 6U< 6!U< D<k U<6a 1U< U81< U<1D Ua1< U<6",
+"M <k!UM V6< 6aV< l<U U8l< l<V Vls< 6U* U+6* U*6D Ua6* 1U6* U+1< 6U*1D 6U8D*",
+" U*6M 6U+<M V6* 6+V< 6Ul* U+l< V6l* V6s* 6EU< <kEU! U<6H 6UHa< 1EU< 6U8<E U",
+"H1< 6UH8< <kEUM 6UE<M! 6HV< V6Ha< U<lE l<U8E V<lH s<VlH U<6d <dkU+ UH6* 6Ug",
+"< U<1d <dkU8 <dk1D 1Ug< <dkUM 6U+<dM 6HV* V6g< U<ld l+<Ud V<ld l<gV U<4k <k",
+"!4U D<4k 4Ua<k 7U< U87< U<7D Ua7< 4U6<M 4U6<M! 4kV< V46a< 7Ul< 7lU8< 7V< s<",
+"7V =U6 6U=+ =Dk 6U=a =U7 =U>k 7U=D =D>k 6U=M =U6+M V=6 V6=a l=U =Ul> l=V 7V",
+"s= <kE4U 4UE<k! 4UH<k UH<4ak U<7E 7U8<E UH7< 7UH8< 4U6<ME <k4MU!E V46H< 4Hk",
+"V<a 7lU<E l<87UE V<7H 7VsH< 6U=d =U6+d 6U=H g6=U 7d=U 7>U=d 7U=H =Ug7 =U6dM",
+" 6U+=Md V6=H =kgV ld=U l=>Ud =H7V V=gl 6NU< <kNU! DN<k 6Ua<N 1NU< 6U8<N 1U<",
+"DN 1Ua<N U<6Q 6UQ<! 6QV< V6Qa< UQl< l<UQ8 lQV< s<VlQ 6NU* 6U+<N 6U*DN 6Ua*N",
+" 6U*1N 6U8*N <kN1D* a*N6U8 UQ6* 6U+Q< 6QV* V6+Q< l<UQ* l+<UQ l<VQ* s*V6Q U<",
+"6W 6UW<! D<Wk 6UWa< UW1< 6UW8< 1UHW< 1UWa< 6UWQ< <M!6UW V6Z< Z6Va< UWl< lW<",
+"U8 VlZ< lZ<Vs UW6* 6U+W< <dkWD g6UW< 6UW1* 6UW8* 1UH6W* g1UW< <dkUQ U+W6Q* ",
+"V6Z* gV6Z< lW<Ud l+WU< lZ<Vd gl<VZ U<6m <kmU! <kDm akmU< U<7m 7U8<m 7UD<m 7",
+"Ua<m <kmUQ <k!4UQ 6mV< V6ma< pUl< 7pU8< l<Vp Vp<7s 6U=m =U6+m Dk=m =Ua6m =m",
+"7U 7>U=m =U7Dm 7Ua=m 6U=Q =UQ6+ V6=Q V=6+Q 7p=U l=p>U Vpl= V=pl> <kmUW <k!4",
+"UW <kmUH UH<akm UW7< 7UW8< 7UHW< 7UWa< 6UW<Mm Q!4UW<k Z4V<k Z6aV<m 7pUW< 7U",
+"8lW< Z<7V 7ZVs< v6=U =Uv6+ vD=k g=Uv6 =U7v 7vU>= 7vU=H g7Uv= =Uv6Q =U+v6M =",
+"kVv Vv6g= =Ulv lv=>U Z=7V l=yV ?t ?t& ?tD ?ct ?t1 ?t: t1?D t:?c ?tM tM?& V?",
+" V?c l?t ?tl: V?l u? ?t* t-? t*?D t-?c ?1t* ?:t- ?t1D* ?t:c- t*?M ?Mt- V?* ",
+"V?- ?tl* l?t- l*V? u?- ?tE t&?E ?tH tc?H t1?E ?Et: ?1tH t:?H tM?E ?tM&E V?H",
+" Vc?H lE?t ?t:lE lHV? u?H ?td ?dt- tH?d g?t ?1td t:?d ?tH1d ?tg: td?M ?td-M",
+" V?d g?V ?tld l-?td ldV? u?g ?t4 ?&t4 t4?D t4?c 7t? ?:7t ?D7t 7t?c t4?M ?t4",
+"M& V?4 c4V? l?7t ?t:7l 7V? u?7 t= t=- t=D t=c t=7 At =D7t Atc t=M =Mt- t=V ",
+"V?c= l=t Alt 7Vt= Au ?Et4 ?t4&E t4?H ?tHc4 ?E7t ?t:7E ?H7t 7tH?c ?t4ME t4&?",
+"ME V4?H V?c4H 7tl?E l?:7tE ?H7V ?Hu7 t=d -=td t=H gt= ?d7t Atd =H7t Agt td=",
+"M t=-dM =HV? V=g? ldt= ltAd =Hlt Aug ?tN t&?N tD?N ?Ntc t1?N ?Nt: ?t1DN ?t:",
+"cN ?tQ ?&tQ V?Q tc?Q ?Qlt t:?Q Vl?Q u?Q ?Nt* ?Nt- ?tD*N ?ct-N ?t1*N ?t:-N t",
+"*1?DN t-:?cN t*?Q ?Qt- V*?Q ?QV- ?tQl* t-Ql? V?lQ* ?-uQ ?tW ?&tW tH?W tc?W ",
+"?1tW t:?W ?tH1W ?cWt: tW?Q ?tWQ& ?ZV ?ctZ ?tlW l?Wt: l?tZ u?Z tW?d ?Wt- ?tH",
+"W* ?Wgt ?tW1d t-W?: ?H1tW* g?t:W tQ?d t-W?Q ?dtZ ?Zgt l?Wtd l-W?t V?dlZ g?u",
+"Z ?tm ?&tm tm?D tc?m ?m7t t:?m ?tm7D ?cm7t t4?Q ?tQ4& V?m cmV? ?pt ?t:p ?pV",
+" u?p t=m ?mt- tm=D tmc= 7=tm Atm t=7Dm tcAm t=Q =Qt- =QV? ?mV- tp= Apt V=?p",
+" Aup t4?W ?tW4& tH?m ?cWt4 ?W7t 7tW?: 7tH?W 7cW?t ?tW4Q ?W&t4Q ?mtZ V?mZc ?",
+"Wtp ?pt:W tZ?p ?Zup ?vt t-?v =Htv ?vgt 7t?v Atv ?vt7H gtAv =Qtv ?vt-Q ?vV Z",
+"-t= tp?v lvAt tZl= Auy 3F !3F 3BF a3F 3F. 83F 3F.B a38F 3FK 3F!K T3F a3TF j",
+"3F j38F j3TF s3F 3(F +3F 3(FB a3+F (F3. 83+F 3F.(B +8a3F (F3K 3F+K 3(TF T3+",
+"F 3(jF j3+F Tj3(F +3sF G3 G3! GH3 Ga3 G3. G83 H3G. G3H8 G3K !KG3 GT3 TaG3 G",
+"j3 8jG3 G3Hj sG3 Gd3 +G3 HdG3 gG3 d3G. +3G8 GHd3. G8g3 dKG3 GK+3 G3Td GTg3 ",
+"G3dj +3Gj dj3GT g3sG 4F 4F! 4FB 4aF 45F 48F 5B4F 4F5a 4FK !K4F 4TF Ta4F 4jF",
+" 8j4F 4F5T s4F 4;F 4+F ;F4B 4Fa; 5;4F >F4 45;FB 4a>F ;F4K +F4K 4FT; 4F+T 4F",
+";j 4j>F ;jF4T >Fs4 4G 4G! 4GH 4Ga 4G5 4G8 G54H G54a 4GK GK4! 4GT GT4a 4Gj G",
+"84j G54T s4G 4Gd 4+G G;4H g4G G54d >G4 4GH5d >Gg4 4KG; 4K+G GT4d 4GgT G;4j ",
+"4G>j 4GT5d sGg4 3FN 3F!N 3FNB 3FaN 3FN. 3F8N 3F.NB 8a3FN Q3F !3QF T3QF a3QF",
+" j3QF 83QF QTj3F Q3sF (F3N 3F+N 3FN(B +a3FN 3F.(N +83FN N.(3BF 8a3+FN 3(QF ",
+"Q3+F QT3(F +QT3F Qj3(F +Q83F Tj3Q(F s+Q3F GW3 G3W! HWG3 G3Wa W3G. G3W8 GHW3",
+". G8HW3 GQ3 G3Q! ZG3 GaZ3 G3Wj G3Q8 GjZ3 ZGs3 WdG3 GW+3 GHWd3 GWg3 GWd3. +G",
+"W83 HWdG3. gGW83 G3Qd +3GQ GdZ3 ZGg3 dj3GQ +GQ83 ZGdj3 gZsG3 4mF mF4! mF4B ",
+"4Fam 5m4F 4F8m 45mFB amF48 4QF 4FQ! 4FTm 4FQa p4F 48pF 4TpF p4sF m;4F 4F+m ",
+"4m;FB amF4+ 45m;F 4m>F 5m;4FB >m4aF 4FQ; 4F+Q 4QT;F 4+QTF 4;pF p4>F p4T;F p",
+">4sF 4GW 4!Gm Gm4H Ga4W G54W G84W 4GH5W 4G8Hm 4GQ Q!4G Z4G 4GZa pG4 4Gp8 pG",
+"Z4 Z4sG v4G 4+vG 4GvH v4gG 4Gv5 v4>G v4GH5 gv>4G 4GvQ +G4Q v4ZG gGZ4 v4pG p",
+"4>G Zpv4G y4G #3F &3F #3FB &3aF 3F#. &38F 3F.#B 8a&3F 3F#K 3F&K #3TF &3TF #",
+"3jF j3&F Tj#3F &3sF 3(#F &3+F 3BF#( +a&3F 3F.#( +8&3F #(F.B3 8a&+3F 3FK#( +",
+"&3FK T#3(F +T&3F j#3(F &j3+F j#3T(F s+&3F G#3 G&3 H#G3 G3H& #3G. 8&G3 GH#3.",
+" G8H&3 #3GK &3GK T#G3 G3T& j#G3 G3&j GTj#3 G&s3 d#G3 +3G& GHd#3 G&g3 Gd#3. ",
+"d&3G8 Hd#G3. gG8&3 Gd#3K d&3GK GTd#3 gGT&3 dj#G3 d&jG3 GT#dj3 gsG&3 4#F 4&F",
+" #B4F a&4F 5#4F 4F5& 45#FB 48a&F #F4K &F4K T#4F 4FT& j#4F 4F&j 4T5#F 4&sF ;",
+"#4F 4F;& 4;#FB a;&4F 45;#F 4&>F 5;#4FB >&4aF 4;#FK ;&F4K 4T;#F 4+T&F ;j#4F ",
+">&4jF 4T#;jF s>4&F 4G# 4G& GH4# Ga4& 4#G5 G54& 4GH5# 4G8H& G#4K 4KG& 4#GT G",
+"T4& 4#Gj G&4j 4GT5# 4Gs& 4#G; +G4& 4GHd# 4Gg& 4G5d# 4G>& G5H4d# g>4G& 4Gd#K",
+" 4+G&K 4GTd# g4GT& 4Gjd# >G4&j dj#4GT gs4G& 3F#N 3F&N 3FN#B a&3FN 3F.#N 8&3",
+"FN .B3#FN a&38FN #3QF &3QF QT#3F Qa&3F Qj#3F &j3QF Tj#Q3F sQ&3F 3FN#( +&3FN",
+" #BF3(N a&3+FN #3FN.( 8&3+FN 3F#N.B( 3F&N+8a Q#3(F +Q&3F T#3Q(F Q&3+TF j#3Q",
+"(F +Q3&jF 3(jFQT# +Q&s3F W#G3 G3W& GHW#3 GaW&3 GW#3. G8W&3 HW#G3. H8WG&3 Q#",
+"G3 G3Q& G#Z3 G&Z3 GQj#3 GQ8&3 ZGj#3 Z&Gs3 GWd#3 d&3GW HWdG#3 gGW&3 Wd#G3. G",
+"8Wd&3 W#H3Gd. G8Wg&3 GQd#3 +GQ&3 ZGd#3 Z&Gg3 GQ#dj3 d&3GQ8 dj#ZG3 gsGZ&3 m#",
+"4F 4Fm& 4m#FB am&4F 45m#F m&F48 5m#4FB 48am&F Q#4F 4FQ& 4QT#F 4Qa&F 4#pF 4&",
+"pF p4T#F p&4sF 4m;#F m&F4+ m;#4FB 4+am&F 5m;4#F >m4&F 5B4Fm;# am&>F4 4Q;#F ",
+"4+Q&F Q;#4TF a;F4Q& p4;#F p>4&F 4T;p#F s>4p&F 4#Gm Gm4& 4GHW# 4GaW& 4G5W# 4",
+"G8W& G5H4W# G5a4W& 4#GQ GQ4& 4GZ# 4GZ& 4Gp# 4Gp& Zp4G# Zp&4G 4Gv# 4Gv& v4GH",
+"# gv4G& v4G5# v>4G& 4GHv5# v>Gg4& v4GQ# v&4GQ Zv4G# Zv&4G pv4G# pv&4G pvGZ4",
+"# 4Gy& I3 I3! DI3 aI3 I3. 8I3 I3D. D38I I3K !KI3 TI3 T3aI Ij3 83Ij D3Ij sI3",
+" I3( +I3 I3D( +3aI 3(I. +38I DI3(. +D8I3 3(IK I3+K I3T( +3TI j3I( +3Ij Ij3D",
+"( +Is3 GI3 I3G! J3 Ja3 I3G. G38I J3. J83 I3GK GI3!K JT3 TaJ3 G3Ij Ij3G8 Jj3",
+" sJ3 Id3 +3Id Jd3 gJ3 d3I. 83Id d3J. g3J8 I3dK Id3+K TdJ3 JTg3 I3dj Idj+3 d",
+"jJ3 g3sJ 4I 4I! 4DI 4aI 4I5 48I 5D4I 5a4I 4IK IK4! 4TI TI4a 4Ij 8I4j 5T4I s",
+"4I 4I; 4+I D;4I +D4I 45I; >I4 4D5I; 4D>I 4KI; 4K+I T;4I +T4I I;4j 4I>j I;j4",
+"D >Is4 4GI GI4! J4 J4a G54I G84I J45 J48 GI4K 4GI!K J4T 4TJa Gj4I 4G8Ij J4j",
+" sJ4 4Id +G4I J4d gJ4 5I4d 4G>I 4dJ5 J>4 4KId 4+GIK 4TJ; gTJ4 Id4j >I4Gj 4d",
+"Jj g4sJ I3N !3IN I3DN I3aN N.I3 IN83 DI3N. D8I3N QI3 I3Q! Q3TI Q3aI Q3Ij Q3",
+"8I Ij3QD QIs3 3(IN I3+N DI3(N +DI3N I3(N. +I83N I3(DN. D83+IN I3Q( +3QI QDI",
+"3( +QDI3 Ij3Q( +QI83 QD3Ij( sI+Q3 WI3 I3W! JW3 WaJ3 I3W. W38I W3J. W8J3 G3Q",
+"I GQI!3 ZJ3 JaZ3 W3Ij GQ8I3 Z3Jj s3ZJ W3Id +3WI WdJ3 JWg3 Id3W. +WI83 JWd3.",
+" gJW83 Q3Id +GQI3 JdZ3 g3ZJ IdjW3 +WIj3 ZJdj3 sJZg3 4Im 4!Im Dm4I am4I 45Im",
+" 8m4I 4D5Im 4D8Im 4QI Q!4I QD4I Qa4I pI4 48pI 4DpI pIs4 4mI; +m4I Im;4D 4+D",
+"Im Im;45 4I>m 4D5Im; >Dm4I Q;4I +Q4I 4QDI; 4+QTI 4Ip; p4>I pD4I; p>D4I 4WI ",
+"4!WI J4W 4WJa 5W4I W84I 4WJ5 4WJ8 GQ4I 4GQI! ZJ4 ZaJ4 4GpI pG48I Jp4 s4Jp v",
+"I4 4+vI Jv4 g4Jv 4Iv5 v4>I v4J5 v>J4 4QvI vI4+Q Z4Jv ZJg4 p4vI pvI>4 pvJ4 y",
+"J4 bI3 I&3 DIb3 cI3 I3b. b38I bDI3. 8Ic3 I3bK &3IK b3TI TIc3 b3Ij I3&j Ij3b",
+"T cIs3 I3b( b3+I bDI3( +Ic3 bI3(. I&3+8 DI3b(. c+8I3 bKI3( I&3+K bTI3( c+TI",
+"3 Ij3b( I&j+3 bT3Ij( sI+c3 bG3 b3G& Jb3 cJ3 G3b. b3G8 b3J. c3J8 G3bK I&3GK ",
+"bTJ3 JTc3 b3Gj I&jG3 bjJ3 s3cJ b3Id b3+G bdJ3 g3cJ Id3b. b+G83 Jbd3. cJ8g3 ",
+"Id3bK b+G3K JbTd3 cJTg3 Idjb3 Idj&3 Jjbd3 sJgc3 4bI 4I& bD4I c4I b54I b84I ",
+"4b5DI 48cI bK4I 4KI& bT4I 4TcI bj4I I&4j 4bT5I c4sI b;4I b+4I 4bDI; 4+cI 4b",
+"5I; 4b>I b5D4I; >Ic4 I;K4b I;&4K 4bTI; c4+TI I;j4b >I4bj 4bTI;j c>s4I 4bG b",
+"G4& J4b cJ4 b54G bG48 4bJ5 J4c5 4KbG 4bG&K 4bJT cTJ4 bG4j I&j4G 4bJj cJs4 b",
+"G4d b+4G 4bJ; cJg4 4bG5d 4b>G J4b5d c4J> 4bGdK 4b+GK J4bTd cJ4gT Idj4b >bG4",
+"j J4jbd J>sc4 I3bN &3IN bDI3N I3cN bI3N. I&38N DI3bN. c8I3N b3QI Q3I& bQDI3",
+" QIc3 Ij3bQ I&jQ3 bQDIj3 sIQc3 bI3(N I&3+N DI3b(N c+I3N I3(bN. +I3b8N 3(INb",
+"D. +I8c3N bQI3( b+QI3 QI3bT( cQ+I3 bQ3Ij( Ij3b+Q Qjb3TI( cQ+sI3 b3WI W3I& b",
+"WJ3 JWc3 bGW3. bG8W3 JbW3. cJW83 b3GQ bGQ&3 JbZ3 Z3cJ bGQj3 I&jW3 ZJbj3 sJZ",
+"c3 Id3bW b+GW3 JbWd3 cJWg3 bW3Id. Id3bW8 bWdJ3. gJ8cW3 bGQd3 b+GQ3 ZJbd3 Zc",
+"Jg3 Id3bWj Id3bQ8 JjdZb3 ZcgsJ3 bm4I Im4& 4bDIm 4Icm 4b5Im Im&48 b5D4Im c45",
+"Im bQ4I QI4& 4bQTI 4QcI 4bpI 4Ip& pb4TI pIc4 Im;4b Im&4+ 4bDIm; c4+Im 4b5Im",
+"; >I4bm Imb;4D5 c>4Im 4bQI; I;&4Q bQ;4TI c4Q+I pb4I; p>b4I 4bTpI; cp>4I bG4",
+"W WI4& 4bJm J4cW 4bG5W 4bGW8 J4b5W cJ45W bG4Q 4bGQ& J4Zb cJZ4 4bpG pbG48 pb",
+"J4 c4Jp 4bvI 4Iv& vbJ4 c4Jv vb4G5 v>b4G Jv4b5 cvJ>4 vb4GQ vI&4Q ZJ4vb cvZJ4",
+" pvb4G pvI4& Jpv4b cJy4 6F 6!F 6FB 6aF 61F 68F 1F6B 6F1a 6FK !K6F 6TF Ta6F ",
+"6jF 8j6F 6F1T s6F 6(F 6+F (B6F +a6F 1(6F 6F1+ 61(FB 6+1aF (F6K +F6K T(6F 6F",
+"+T j(6F 6F+j 6T1(F 6+sF 6G 6G! 6GH 6Ga 6G1 6G8 1G6H 1G6a 6GK GK6! 6GT GT6a ",
+"6Gj G86j 1G6T s6G 6Gd 6+G GH6d g6G 1G6d 1+6G 6G1Hd 6Gg1 Gd6K 6K+G GT6d 6GgT",
+" Gj6d +G6j 6GT1d sGg6 46F 4F6! 6F4B 4F6a 7F 78F 7BF 7aF 6F4K 6!4FK 4F6T 4T6",
+"aF 7jF 8j7F 7TF 7sF 6;F 4F6+ ;F6B 6Fa; 7;F 7>F ;F7B >F7a ;F6K 4+6FK 6FT; 4+",
+"T6F ;j7F 7j>F T;7F >F7s 4G6 6!4G 6G4H 6G4a 7G 7G8 7GH 7Ga 4K6G 4G6!K 6G4T 4",
+"GT6a 7Gj G87j 7GT 7sG 6G; 6+4G G;6H 4Gg6 7Gd 7>G G;7H g7G 6KG; 4+G6K GT6; g",
+"46GT G;7j >j7G GT7d sGg7 6FN !F6N NB6F aF6N 1F6N 8F6N 61FNB 68aFN 6QF 6FQ! ",
+"QT6F 6FQa 6F1Q 6FQ8 6Q1TF 6QsF (F6N +F6N 6(FNB 6+aFN 61(FN 6+1FN 1(F6NB 1+F",
+"6aN Q(6F 6F+Q 6QT(F 6+QTF 6Q1(F 6+Q1F 1Q(6TF s6+QF 6GW W!6G GH6W Ga6W 1G6W ",
+"G86W 6G1HW 6G8Wa 6GQ Q!6G Z6G 6GZa 1G6Q GQ68 6GZ1 Z6sG GW6d +G6W 6GHWd 6GgW",
+" 6G1Wd 6+G1W 1GH6Wd g61GW GQ6d +G6Q 6GZd gGZ6 6GQ1d 6+G1Q Z61Gd gZ6sG 6mF m",
+"F6! mF6B 6Fam 7mF 8m7F mF7B am7F 4F6Q 4Q6!F 6FTm 4Qa6F 7pF p87F pT7F sF7p m",
+";6F 6F+m 6m;FB 6+maF m;7F 7m>F 7Bm;F 7>amF 6FQ; 4+Q6F 6Q;TF 6+TmF p;7F >F7p",
+" 7pT;F 7p>sF 6Gm 6!Gm Gm6H Ga6m 7GW G87W Gm7H Ga7W 6G4Q 4GQ6! 4GZ6 Z46Ga 7p",
+"G 78pG 7ZG sG7Z v6G 6+vG 6GvH gGv6 7vG v>7G vG7H 7Ggv 6GvQ v6+GQ ZGv6 Zv6gG",
+" pv7G p>7G 7GZv y7G 69F 6&F 9F6B 6F9a 916F :6F 691FB 6a:F 9F6K &F6K 6F9T 6F",
+"T& 6F9j 6j:F 6T91F :6sF 9(6F 6F9+ 69(FB 6+9aF 691(F 6+:F 91(6FB :6+aF 69(FK",
+" 6+9FK 6T9(F 6+T9F 6j9(F :6+jF 9T(6jF s:6+F 6G9 6G& 9G6H 9G6a 691G :G6 6G91",
+"H 6G:H 6K9G 6KG& 9G6T GT6& 9G6j 6G:j 6GT9j :Gs6 9G6d 9+6G 6G9Hd 6Gg9 6G91d ",
+"6+:G 9G16Hd :Gg6 6G9dK 6+G9K 6GT9d g69GT 6Gj9d :G6+j 9GT6dj g:s6G 49F 4F6& ",
+"9F4B 4F9a 79F 7:F 9F7B :a7F 9F4K 49&FK 4F9T 49TaF 9j7F :j7F 9T7F sF7: 4F9; ",
+"4F9+ 49;FB 49+aF 9;7F >F7: 7B9;F 7:>aF 49;FK 49+FK 49T;F 49+TF 79;jF 7:>jF ",
+"7T9;F 7s:>F 49G 6G4& 9G4H 9G4a 7G9 7:G 9G7H :G7H 4K9G 49G&K 9G4T 49GT& 9G7j",
+" 7j:G 9G7T 7:sG 9G4d 9+4G 49GH; 49gG 9G7d :>7G 7G9H; 7Gg: 49GdK 49+GK 49GTd",
+" g49GT 7G9dj 7:G>j 7GT9d 7sGg: 9F6N &F6N 69FNB 6a9FN 691FN 6F:N 91F6NB :6aF",
+"N 6F9Q 6FQ& 6Q9TF 6Qa9F 6Q91F 6Q:F 9Q16TF :Q6sF 69(FN 6+9FN 9(F6NB 9+F6aN 9",
+"1(6FN :6+FN 916N(BF 6+a:FN 6Q9(F 6+Q9F 9Q(6TF 6+F9Qa 9Q(6jF :Q6+F QT1(69F s",
+"6+:QF 9G6W G&6W 6G9HW 6Ga9W 6G91W 6G:W 9G16HW :G6Wa 9G6Q GQ6& 6GZ9 6GZ& 6GQ",
+"9j 6G:Q Z691G :GZ6 6G9Wd 6+G9W 9GH6Wd g69GW 9G16Wd :G6+W 691HGWd g:6GW 6GQ9",
+"d 6+G9Q Z69Gd Z6&gG 9GQ6dj :GQ6+ 6GjZ9d Z:g6G 4F9m 6Fm& 49mFB 49amF 9m7F 7F",
+":m 7B9mF 7:amF 4F9Q 49Q&F 49QTF 49QaF 7Fp9 7F:p 7p9TF 7sp:F 49m;F 49+mF 9mF",
+"6;B amF49+ 79m;F 7:>mF 9m;7BF :>m7aF 49Q;F 49+QF 4QF9T; a;F49Q 7p9;F 7p>:F ",
+"p9;7TF :p>7sF 9G4W Gm6& 49GHm 49GWa 9G7W :G7W 7G9Hm 7:GHm 9G4Q 49GQ& 49ZG Z",
+"49Ga p97G 7G:p Z97G 7GZ: 49vG 6Gv& v69GH gv69G v97G 7G:v 7v9GH :vGg7 v69GQ ",
+"v6&GQ Zv69G Zv6G& 7pGv9 :vG7p 7Zv9G 7:yG 6I 6I! 6DI 6aI 6I1 68I 1D6I 1a6I 6",
+"IK IK6! 6TI TI6a 6Ij 8I6j 1T6I s6I 6I( 6+I DI6( +D6I 6(1I 1+6I 6D1I( 6+D1I ",
+"I(6K 6K+I 6(TI +T6I 6(Ij +I6j 6DjI( 6+sI 6GI GI6! J6 J6a 1G6I G86I J61 J68 ",
+"GI6K 6GI!K J6T 6TJa Gj6I 6G8Ij J6j sJ6 6Id +G6I J6d gJ6 1I6d 8I6d 6dJ1 J6g1",
+" 6KId 6+GIK 6TJd gTJ6 Id6j Idj6+ 6dJj g6sJ 4I6 6!4I 6D4I 6a4I 7I 7I8 7DI 7a",
+"I 4K6I 4I6!K 6T4I 4TI6a 7Ij 8I7j 7TI 7sI 6I; 6+4I D;6I aI6; 7I; 7>I D;7I >D",
+"7I 6KI; 4+I6K TI6; 4+T6I I;7j >j7I TI7; 7>sI 6G4I 4G6I! J46 4aJ6 7GI G87I 7",
+"J 7J8 4G6IK 6GK4I! 4TJ6 J46Ta Gj7I 7G8Ij 7JT 7Js 6I4d 4+G6I J6; J4g6 7Id >G",
+"7I 7Jd g7J 4Id6K I;K6+G 6TJ; gJ46T Id7j 7>GIj J;7T sJg7 6IN IN6! DI6N 6NaI ",
+"6N1I 6N8I 6D1IN 6D8IN 6QI Q!6I QD6I Qa6I 1Q6I Q86I 6QD1I 6QsI I(6N 6N+I 6DI",
+"(N 6+DIN 6I1(N 6+I1N 1D(6IN 6+N1aI 6(QI +Q6I 6QDI( 6+QTI 6QI1( 6+Q1I Ij(6QD",
+" s6I+Q 6WI 6!WI J6W 6WJa 1W6I W86I 6WJ1 6WJ8 GQ6I 6GQI! ZJ6 ZaJ6 WI6j 6GQ8I",
+" J6Z1 ZJs6 WI6d +W6I 6WJd gWJ6 6WI1d 6+W1I J61Wd gJ61W QI6d 6+GQI ZdJ6 ZJg6",
+" Idj6W 6+WIj ZJ61d sJ6gZ 6Im 6!Im Dm6I aI6m 7Im 8I7m Dm7I aI7m 6Q4I 4QI6! T",
+"I6m 4Qa6I 7pI 78pI pD7I 7psI Im6; +I6m 6DmI; 6+DIm Im7; >m7I 7DIm; 7>DIm QI",
+"6; 4+Q6I 6QDI; 6+TIm 7;pI p>7I 7pDI; 7sIp> 6W4I 4WI6! J6m 6aJm 7WI W87I 7JW",
+" J87W 4GQ6I Im!6GQ J4Z6 ZJ46a pG7I 7pG8I 7ZJ sJ7Z v6I 6+vI Jv6 g6Jv 7vI v>7",
+"I 7Jv 7vJ> 6QvI v6I+Q Z6Jv Jv6gZ pv7I 7vIp> 7vJp yJ7 b6I 6I& 9D6I c6I 6Ib1 ",
+":I6 b61DI c6:I bK6I 6KI& 6IbT 6TcI 6Ibj 6I:j b6T1I :Is6 b(6I 6Ib+ b6DI( 6+c",
+"I b61I( 6+:I 6DIb1( :c6+I b6I(K b6+IK b6TI( c6+TI b6jI( :I6+j Ij(b6T s:I6+ ",
+"b6G 6&bG J6b cJ6 6Gb1 b6:G b6J1 :J6 bK6G b6G&K b6JT cTJ6 6Gbj :Gb6j b6Jj s6",
+":J 6Gbd 6+bG b6Jd cJg6 b6G1d 6I:d J6b1d g6:J b6GdK b6+GK J6bTd cJ6gT Idjb6 ",
+":Id6j J6jbd sJ6g: 49I 6I4& 9D4I 49cI 7bI 7:I 9D7I 7cI 4K9I 49I&K 9T4I c46TI",
+" bj7I 7j:I bT7I sI7c 6Ib; 9+4I 49DI; 6Ic; b;7I :>7I 7bDI; 7Ic> 49I;K I;&6K ",
+"49TI; c6;TI 7bI;j 7:I>j 7bTI; 7sIc> b64G 4bG6& J49 J4c6 7bG :G7b 7Jb 7J: 4b",
+"G6K I&K49G 49JT cJ46T bG7j 7:Gbj J97T sJ7c 6Gb; I;&6G 49J; J4g9 bG7d :I7d J",
+"97d :Jg7 49IdK IdK49+ J49Td cJ6T; 7bGdj 7:Idj 7JbTd g7Js: bN6I 6NI& b6DIN 6",
+"IcN b61IN 6I:N 6DIb1N :c6IN 6IbQ QI6& b6QTI 6QcI b6Q1I 6Q:I 6QIb1T :cQ6I b6",
+"I(N b6+IN 9D(6IN c6+IN 6I(b1N :I6+N b(6D1IN c6+:IN b6QI( b6+QI bQ(6TI c6Q+I",
+" Ij(b6Q :QI6+ b(6Q1TI sI+c6Q 6GbW WI6& b6JW J6cW b6G1W 6W:I J6b1W J6:W 6GbQ",
+" b6GQ& J6Zb cJZ6 b6G1Q :GQb6 ZJ6b1 Z6:J b6GWd b6+WI J6bWd cJ6gW 6WIb1d :WI6",
+"+ b6WJ1d :Jg6W b6GQd b6+GQ ZJ6bd Zc6gJ b6WIdj :QI6d ZbdJ6j Z:Jg6 6Ibm Im6& ",
+"49DIm 6Icm bm7I :m7I 7bDIm cm7I 9Q4I Im&6Q 49QTI c4Q6I pb7I 7I:p 7pbTI 7Icp",
+" 49Im; Im&6+ 9Dm6I; c6m+I 7bIm; 7:I>m 9Dm7I; 7c>Im 49QI; I;&6Q 6QIbT; c6QI;",
+" 7pbI; :pI7> 7D;p9I 7cp>I 6Gbm Im&6G 49Jm J6cm bG7W :W7I J97W 7W:J 4bG6Q b6",
+"G4Q& J4Z9 Zc4J6 pb7G :pG7b 7bJp Z:7J 49vI 6Iv& vbJ6 c6Jv vb7G 7I:v 7bJv :v7",
+"J vb6GQ v6IQ& Jv6Zb cv6ZJ 7vbpG :vI7p Jp97v 7Jy: 3FL 3F!L 3FLB 3FaL FL3. 3F",
+"8L 3L.FB 8a3FL M3F !3MF M3TF M3aF j3MF M38F TMj3F M3sF (F3L 3F+L 3FL(B +a3F",
+"L 3L.(F +83FL (BL3F. 8a3+FL 3(MF M3+F TM3(F aM3+F Mj3(F +M83F Mj3T(F s+M3F ",
+"G3L !3GL H3GL a3GL 3LG. 83GL GH3L. G8H3L GM3 M3G! G3HM G3aM MjG3 G38M GTMj3",
+" GMs3 d3GL G3+L GHd3L G3gL Gd3L. +G83L Hd3GL. gG83L G3dM +3GM dM3GT GMg3 dM",
+"jG3 +GM83 GTMdj3 gsGM3 4FL !F4L LB4F aF4L 5F4L 8F4L 45FLB 48aFL 4MF MF4! TM",
+"4F 4FaM 4F5M 4F8M 4T5MF 4MsF ;F4L +F4L 4;FLB a;F4L 45;FL 4F>L 5;F4LB >F4aL ",
+"4FM; 4F+M M;F4T aM;4F M;F4j 4M>F 4T5M;F >Ms4F 4GL GL4! GH4L 4LGa 4LG5 4LG8 ",
+"4GH5L 4G8HL 4GM 4!GM GT4M Ga4M G54M G84M 4GT5M 4GsM 4LG; 4L+G 4GHdL 4GgL 4G",
+"5dL 4G>L G5H4dL g>4GL GM4d +G4M 4GTdM 4GgM 4GM5d 4G>M G5T4dM >Mg4G FL3N 3FN",
+"!L 3FNLB a3FLN 3L.FN 83FLN .BL3FN a3F8LN M3QF Q!M3F QTM3F aM3QF QMj3F Q8M3F",
+" TMjQ3F sQM3F 3FN(L +3FLN (BL3FN a3F+LN N.(3FL 83F+LN (FLBN.3 3L+N8aF QM3(F",
+" +QM3F TM3Q(F +Q3aMF Mj3Q(F Q83+MF 3(MFQTj +QMs3F W3GL W!G3L GHW3L GaW3L GW",
+"3L. G8W3L HW3GL. W83GaL G3WM GQM!3 GMZ3 ZGaM3 GQMj3 GQ8M3 ZGMj3 sZGM3 GWd3L",
+" +GW3L HWdG3L gGW3L Wd3GL. G83+WL W3HLGd. G8Wg3L dM3GQ +GQM3 ZGdM3 gZGM3 GQ",
+"Mdj3 dM3GQ8 dMjZG3 sZGgM3 mF4L 4mF!L 4mFLB amF4L 45mFL 48mFL 5mF4LB 48FamL ",
+"4FMm MmF4! MmF4T aMm4F 4MpF p48MF p4TMF sp4MF 4m;FL 4+mFL m;F4LB 4+FamL 5m;",
+"4FL >m4FL mL4B5;F amF>L4 MmF4; 4+QMF 4QTM;F aMF4+Q p4M;F >Mp4F M;Fp4T sp4>M",
+"F 4LGm 4GW!L 4GHWL 4GaWL 4G5WL 4G8WL G5H4WL amL4G8 GQ4M 4GQM! 4GZM Z4GaM 4G",
+"pM pG48M Zp4GM sZ4GM 4GvL v4+GL v4GHL gv4GL v4G5L v>4GL 4GHv5L g4Lv>G 4GvM ",
+"vM4+G Zv4GM gZ4GM pv4GM >Mv4G pvGZ4M 4GyM 3F#L 3F&L 3FL#B a&3FL 3L.#F 8&3FL",
+" #L.3BF a&38FL #3MF &3MF TM#3F aM3&F Mj#3F M&38F Mj#T3F sM&3F 3FL#( +&3FL #",
+"3(LBF a&3+FL #(F3L. 8&3+FL (FLB#3. 3F+L8a& M#3(F M&3+F M#3T(F +T3M&F j#3M(F",
+" +M3&jF 3(MFTj# M&3s+F #3GL &3GL GH#3L Ga&3L G#3L. G8&3L H#3GL. H83G&L M#G3",
+" G3M& GTM#3 GT&M3 GMj#3 G8M&3 HM#Gj3 sGM&3 Gd#3L d&3GL Hd#G3L gG&3L d#3GL. ",
+"G83d&L H#G3dL. G8&g3L dM#G3 dM&G3 GT#dM3 gMG&3 GM#dj3 dM3G&j dMGjH#3 sG&gM3",
+" #F4L &F4L 4#FLB 4a&FL 45#FL 48&FL 5B#4FL 5aF4&L M#4F 4FM& 4TM#F 4T&MF 4M5#",
+"F 48M&F 5T#4MF s4M&F 4;#FL ;&F4L ;#F4LB 4aF;&L 5;#4FL >&4FL 5#4L;FB 4a&>FL ",
+"M;#4F M;&4F 4T#M;F a;F4M& 4M#;jF >M4&F 5FM;4T# s4&>MF G#4L 4LG& 4GH#L 4Ga&L",
+" 4G5#L 4G8&L G5#4HL 4GLH5& 4#GM GM4& 4GTM# 4GTM& 4GM5# 4G8M& 4G#H5M s4GM& 4",
+"Gd#L 4+G&L G;#4HL g4G&L G5#4dL >G4&L HL5d4G# >G&g4L 4GMd# dM&4G dM#4GT g4MG",
+"& dM#4Gj >MG4& 5#dM4GT >M&s4G 3FN#L &3FLN #LN3BF &3FaLN #LN3F. &3F8LN 3LNB#",
+"F. 3F&N8aL QM#3F M&3QF TM#Q3F Qa3M&F Mj#Q3F Q83M&F TMQj#3F M&3sQF #(L3FN &3",
+"F+LN (FLB#3N 3L+Na&F 3F#LN.( 3L+N8&F (BN.3F#L 8a+F3L&N M#3Q(F +Q3M&F 3(MFQT",
+"# Q3aM+&F 3(MFQj# j3+FQ&M TjQ#3(MF M&s3+QF GW#3L G&W3L HW#G3L Wa3G&L W#3GL.",
+" W83G&L W3HLG#. HLW&G83 GQM#3 GQ&M3 ZGM#3 Z&GM3 WM#Gj3 M&3GQ8 GMjZ#3 sGMZ&3",
+" Wd#G3L G&3+WL W3HLGd# G&Wg3L W3GLd#. GW+38&L 3LH.WdG# GWg38&L GQ#dM3 dM3GQ",
+"& dM#ZG3 gMGZ&3 Q#G3dMj W38M+G& dMZjG#3 sGgZM&3 4m#FL m&F4L m#F4LB 4aFm&L 5",
+"m#4FL 48Fm&L mL4B5#F am5&4FL Mm#4F Mm&4F 4T#MmF aMF4Q& p4M#F p&4MF 4TMp#F s",
+"4Mp&F m;#4FL 4+Fm&L mL4B;#F a;4&mFL 5#4Lm;F m&F>L4 LB;F5m4# am>&4FL 4Q#M;F ",
+"M;F4Q& Q#M;4TF MmT&4+F M;#p4F p&4>MF M;p#4TF >&s4pMF 4GW#L 4G&WL Gm#4HL amL",
+"4G& G5#4WL m&L4G8 W#4LG5H HL5&4GW 4GQM# Mm&4G Z4GM# Z4&GM pG4M# pG&4M pGMZ4",
+"# Z4MpG& v4G#L v&4GL 4GHv#L v&Gg4L 4G5v#L >G4v&L 45v#GHL >&g4vGL vM4G# vM&4",
+"G vMGZ4# Z4GvM& vM4pG# >M4pG& ZGvMp4# y&4GM UI3 I3U! DIU3 U3aI I3U. U38I UD",
+"I3. U8ID3 IM3 I!M3 VI3 aIV3 U3Ij 83IM IjV3 VIs3 I3U( U3+I UDI3( U+DI3 UI3(.",
+" U+8I3 DI3U(. +DIU83 M3I( +3IM I3V( +IV3 IM3j( U+jI3 VIj3( sIV+3 UG3 G3U! J",
+"U3 UaJ3 G3U. U3G8 U3J. U8J3 U3GM IM3G! VJ3 VaJ3 U3Gj UG8M3 VjJ3 s3VJ U3Id U",
+"3+G UdJ3 JUg3 Id3U. U+G83 JUd3. gJU83 I3dM IdM+3 J3Vd g3VJ IdMj3 IdM83 JjVd",
+"3 gVJs3 4UI U!4I UD4I Ua4I U54I U84I 4U5DI 4U8aI 4IM 4!IM V4I 4aVI Uj4I 8I4",
+"M 4IV5 V4sI U;4I U+4I 4UDI; 4U+aI 4U5I; 4U>I U5D4I; >I4Ua I;4M +I4M 4IV; 4+",
+"VI IM;4j 4I>M V45I; >IV4 4UG 4!UG J4U 4UJa U54G UG48 4UJ5 4UJ8 UG4M 4UGM! J",
+"4V JaV4 UG4j 4UG8M V4J5 VJs4 UG4d U+4G 4UJ; J4gU 4UG5d 4U>G J4U5d >UJ4 Id4M",
+" IdM4+ V4J; J4gV IdM4j >MG4U J4V5d J4V> I3UN U!I3N UDI3N UaI3N UI3N. U8I3N ",
+"DI3UN. 8I3UaN U3QI IM3Q! QIV3 VQaI3 IM3Qj UQ8I3 VQIj3 sIVQ3 UI3(N U+I3N DI3",
+"U(N +I3UaN I3(UN. +I3U8N D3UNI(. +3UND8I IM3Q( U+QI3 VQI3( V+QI3 UQ3Ij( Ij3",
+"U+Q Ij3VQ( V+QsI3 U3WI UGW!3 UWJ3 JUWa3 UGW3. UG8W3 JUW3. J8UW3 U3GQ UGQ!3 ",
+"Z3VJ ZJVa3 UGQj3 UGQ83 ZJVj3 sJZV3 Id3UW U+GW3 JUWd3 gJUW3 UW3Id. Id3UW8 UW",
+"dJ3. gUWJ83 IdMW3 U+GQ3 ZJVd3 gVZJ3 Id3UWj Id3UQ8 VZdJj3 sJZgV3 Um4I Im!4U ",
+"4UDIm 4UaIm 4U5Im 4U8Im U5D4Im U8m4aI UQ4I IMm4! 4QVI V4QaI 4UpI pU48I pIV4",
+" Vps4I Im;4U 4U+Im 4UDIm; U+m4aI 4U5Im; >I4Um ImU;4D5 4Ua>Im IMm4; IMm4+ V4",
+"QI; V4+QI pU4I; >MIp4 Vp4I; V>p4I UG4W 4UGW! 4UJm J4UWa 4UG5W 4UGW8 J4U5W J",
+"48UW UG4Q 4UGQ! VZJ4 ZJ4Va 4UpG pUG48 J4Vp JpVs4 4UvI vU4+G vUJ4 Jvg4U vU4G",
+"5 v>U4G Jv4U5 J>v4U 4IvM vIM4+ J4Vv VvJg4 pvU4G >Mv4I JpVv4 J4yV UIb3 U3I& ",
+"bUDI3 UIc3 bUI3. I&3U8 UDIb3. cU8I3 b3IM I3M& bIV3 VIc3 IM3bj IM&83 VbIj3 s",
+"IVc3 bUI3( I&3U+ UDIb3( cU+I3 UI3b(. U+8I&3 3(U.bDI U+8cI3 IM3b( IM&+3 VbI3",
+"( Vc+I3 bM3Ij( IM3b+j Ij3Vb( Vc+sI3 b3UG U3G& bUJ3 JUc3 bGU3. bG8U3 JbU3. c",
+"JU83 b3GM IM&G3 VbJ3 c3VJ bGMj3 bG8M3 JjVb3 sJVc3 Id3bU b+GU3 JbUd3 cJUg3 U",
+"G3bd. I&3U8d bdUJ3. gcUJ83 IdMb3 IdM&3 VJbd3 gVJc3 IM3bdj Id3b8M VdbJj3 sJc",
+"gV3 bU4I U&4I 4bUDI 4UcI 4bU5I 4b8UI b5U4DI c4U5I bM4I IM4& 4bVI cIV4 4bM5I",
+" IM&48 V4b5I c4VsI 4bUI; I;&4U b;U4DI c4U+I b5U4I; >I4U& 45b;UDI c>4UI IM;4",
+"b IM;4& V4bI; c4V+I 4bMI;j >Mb4I I;jV4b V>c4I bG4U UG4& 4bJU cUJ4 4bGU5 4bG",
+"U8 J4bU5 cJ4U5 bG4M IM&4G JbV4 VJc4 4bGUj 4bG8M J4Vb5 sJ4Vc 4bGUd 4b+UG J4b",
+"Ud cJ4gU bG54Ud >bG4U 4bdJ5U J>c4U IdM4b IdM4& J4Vbd gV4cJ 4bMIdj >Mb4G J4b",
+"V5d J>Vc4 bUI3N I&3UN UDIb3N cUI3N UI3bN. U83I&N D3UNbI. U8Ic3N IM3bQ IM&Q3",
+" VbQI3 cQVI3 bQUIj3 IM3bQ8 Ij3VbQ cQVsI3 UI3b(N U+3I&N D3UNbI( U+Ic3N 3(U.b",
+"IN b3U+8IN UDb.3(IN UIc3+8N bQ3IM( IM3b+Q bQIV3( V+IcQ3 Qjb3IM( b3+Q8IM IjV",
+"3bQ( s+cQVI3 bGUW3 UG&W3 JbUW3 cJUW3 UG3bW. I&3UW8 bWUJ3. J8UcW3 bGQU3 IM&W",
+"3 ZJVb3 ZcJV3 IM3bWj IM3bW8 JjVZb3 ZcVsJ3 bWUId3 Id3UW& bWUJd3 gJUcW3 Wdb3U",
+"G. b3+GUW8 W3J.bdU gWJ8cU3 Id3bWM Id3UQ& VJdZb3 ZcJgV3 IdWjbM3 +WUjI&3 djJ3",
+"ZbV g3sJZcV 4bUIm Im&4U bmU4DI c4UIm b5U4Im 4U8Im& 45bmUDI 4U8cmI IMm4b IMm",
+"4& V4bQI c4VQI pb4IM pU&4I Vp4bI cpV4I 4bUIm; 4U+Im& Imb;4UD 4U+cmI Imb;4U5",
+" Im&>U4 bU4I5mD; c4U>Im 4bQIM; 4b+IMm 4bQV;I c4IV+m IM;pb4 >I4pU& pbIV4; V>",
+"4cpI 4bGUW 4UGW& J4bUW cJ4UW bG54UW bG84UW 4bWJ5U c4UJ8m 4bGUQ IM&4W ZJ4Vb ",
+"Zc4VJ pbG4U pUG4& JpV4b cpJV4 vb4UG vU&4G Jv4bU cvJ4U 4bGvU5 >I4vU& vb4J5U ",
+"J>4cvU vbM4G vIM4& VvJ4b cvVJ4 pb4vIM >I4vbM Vv4Jpb yJVc4 6kF kF6! kF6B 6Fa",
+"k 1k6F 6F8k 61kFB akF68 6MF MF6! 6FTk 6FaM l6F 68lF 6TlF sFl6 k(6F 6F+k 6k(",
+"FB akF6+ 61k(F 6+1kF 1k(6FB 6+1akF M(6F 6F+M 6Tk(F 6+TkF 6(lF 6+lF l6T(F ls",
+"6+F 6Gk 6!Gk Gk6H Gk6a 61Gk Gk68 6G1Hk 6G8Hk 6GM 6!GM GT6M Ga6M lG6 6Gl8 6G",
+"lH s6lG Gk6d +k6G 6GHdk 6Ggk 6G1dk 6+G8k 1GH6dk g61Gk GM6d +G6M 6GTdk 6GgM ",
+"6Gld 6+lG lG6Td g6lG 4kF kF4! kF4B 4Fak 7kF 8k7F kF7B ak7F 4F6M 4kM!F 4FTk ",
+"4TkaF 7lF 78lF lF7T sF7l 4Fk; 4F+k k;F4B ak;4F k;7F 7k>F 7Bk;F 7>akF 6FM; 4",
+"+kMF 4Tk;F aM;6F 7;lF >F7l 7lT;F l>7sF 4Gk 4!Gk Gk4H Ga4k 7Gk G87k Gk7H Ga7",
+"k 6G4M 4GkM! GT4k 4GTak lG7 l87G 7GlH lG7s Gk4d +G4k 4GkH; 4Ggk Gk7d 7G>k 7",
+"GHdk 7Ggk GM6; 4+G6M 4GTdk g4kGT 7Gld 7>lG 7GTld lGg7 kF6N 6!kFN 6kFNB akF6",
+"N 61kFN 68kFN 1kF6NB 68FakN 6FQk 6Qk!F 6QTkF 6QakF 6QlF l6Q8F l6QTF ls6QF 6",
+"k(FN 6+kFN k(F6NB 6+FakN 1k(6FN +kF68N 1k6(NBF 6F1+akN 6Qk(F 6+QkF Qk(6TF a",
+"kF6+Q l6Q(F l+6QF 6QTl(F s6Ql+F Gk6W 6GWk! 6GHWk 6GaWk 6G1Wk 6G8Wk 1GH6Wk G",
+"8k6Wa GQ6M 6GQM! 6GZk Z6Gak 6GlW lG6W8 Z6lG lZs6G 6GWdk 6+GWk GkH6Wd g6GWk ",
+"1GW6dk +Gk6W8 61GkHWd 6G8gkW 6GQdk 6+GWM Z6Gdk gZ6Gk lG6Qd l+G6W lZ6Gd glZ6",
+"G 4Fkm kmF6! kmF4B akm4F km7F 78kmF 7BkmF 7akmF 4FQk 4Qk!F 4QkTF aMm6F lF7p",
+" 7lp8F 7lpTF 7slpF km;4F 4+kmF 6mFk;B akF6+m 7km;F 7>mkF km;7BF >km7aF 4Qk;",
+"F 4+QkF kmF6T; akF4+Q 7lp;F l>p7F l;p7TF 7spl>F Gk4W 4GkW! 4GkHm akm4G Gk7W",
+" 7GW8k 7GHWk 7GaWk GQ4k 4GQk! 4GZk Z4kGa 7plG 7pGl8 lG7Z 7sGlZ 4Gvk v6+Gk v",
+"6GHk gv6Gk vk7G 7>Gvk 7vGHk g7vGk 6GvM v6M+G Zv6Gk Z4kgG lG7v l>G7v lvZ7G l",
+"Gy7 9k6F 6Fk& 69kFB akF6& 691kF 6k:F 91k6FB :6akF 6F9M 6FM& 6T9kF 6T&kF 69l",
+"F :6lF l69TF ls:6F 69k(F k&F6+ 9k(6FB 6+9akF 91k6(F :6+kF 916k(BF akF:6+ 6M",
+"9(F 6+M9F 9T(6MF k&F6+T l69(F l:6+F 6T9l(F s:6l+F 69Gk Gk6& 6G9Hk 6Gak& 6G9",
+"1k 6G:k 9G16Hk :G6Hk 9G6M GM6& 6GT9M 6GTk& 6Gl9 l6:G lG69H lsG:6 6G9dk dk&6",
+"G 9GH6dk g69Gk 9G16dk :G6+k 691HGkd g:6Gk 6GM9d dM&6G 9GT6dM g6M9G lG69d l:",
+"G6+ 6GTld9 gl:6G 9k4F 4Fk& 49kFB 49akF 9k7F :k7F 7B9kF 7:akF 4F9M 49M&F 49T",
+"kF 49aMF lF79 lF7: 7l9TF 7sl:F k;F49 k;&4F 49Fk;B akF49+ 79k;F 7:>kF k;F7B9",
+" :>F7ak 49M;F M;&6F k;F49T aMF49+ 7l9;F l>7:F l;97TF 7s:l>F 9G4k Gk4& 49GHk",
+" 49Gak 9G7k 7k:G 7G9Hk 7:GHk 9G4M 49GM& 49GHM 49GaM l97G 7:lG 7GTl9 7sGl: 4",
+"9Gdk dk&4G 9G;4Hk g49Gk 7G9dk 7:G>k 9G;7Hk g7:Gk 49GdM M;&6G 9GT4dk g49GM l",
+"G79d l>G7: 7G9lH; gl7:G 69kFN k&F6N 9kF6NB 6aFk&N 91k6FN :6kFN 916kNBF akF:",
+"6N 6Q9kF 6Q&kF 9QT6MF akF6Q& l69QF :Q6lF 6Q9lTF ls6:QF 9k(6FN 6+Fk&N 9k6(NB",
+"F ak6&+FN 916k(FN 6+k:FN NB1F9k6( ak:F6+N 9Q(6MF k&F6+Q QT6F9M( 6F+Q9aM 6Q9",
+"l(F l+6:QF 69l(QTF l6:Qs+F 6G9Wk 6G&Wk 9GH6Wk Gak6W& 9G16Wk :G6Wk 691HGkW 6",
+"Ga:Wk 6GQ9M 6GQk& Z69Gk Z6&Gk lG69W :GQl6 lZ69G Z:l6G 9GW6dk +Gk6W& 69HkGWd",
+" 6G&gkW 691WGkd 6+G:Wk GH1d69Wk g6G:Wk 9GQ6dM 6GQdk& 6GMZ9d Z6Gg9M 6GQld9 :",
+"G6l+W lG6Z9d Z:6glG kmF49 km&4F 49FkmB akF6m& 79kmF 7:kmF kmF7B9 :mk7aF 49Q",
+"kF Mm&6F kmF49T akF49Q 7lp9F :pl7F p9l7TF :pl7sF 49mk;F kmF49+ km6;9FB ak6m",
+";&F km;79F :mk7>F km7B9;F ak:m7>F k;F49Q k;F4Q& Tk9;4QF aM9m4+F l;97pF :p7l",
+">F l97Tp;F >F7s:pl 49GWk km&4G 9Gm4Hk 49Gakm 7G9Wk 7:GWk 9Gm7Hk 7Gk:Hm 49GW",
+"M Mm&6G Z49Gk Z4kG& 7pGl9 :pG7l 7Zl9G 7Z:lG v69Gk v6&Gk 49GvkH g4Gvk& 7v9Gk",
+" :vG7k v9G7Hk g7G:vk v6M9G v6MG& Z4Gv9M Z4Gg9M lv79G lv:7G 7Z9lvG yl7:G 6UI",
+" 6!Ik Dk6I Ua6I 1U6I U86I 6U1DI 6U8aI 6IM 6!IM V6I 6aVI lI6 68lI V6lI s6lI ",
+"6(Ik U+6I Ik(6D 6U+aI Ik(61 6U+1I 6D1Ik( 1U+6aI 6(IM +I6M 6IV( 6+VI 6Il( 6+",
+"lI Vl6I( lsI6+ 6UG 6!UG J6U 6UJa 1U6G UG68 6UJ1 6UJ8 UG6M 6UGM! J6V JaV6 6U",
+"lG lG6U8 lJ6 s6lJ UG6d U+6G 6UJd J6gU Idk61 Idk68 J61Ud gJ61U Id6M IdM6+ Vd",
+"J6 J6gV 6Ild l+G6U J6ld g6lJ 4Ik 4!Ik Dk4I aI4k 7UI U87I Dk7I Ua7I 6I4M 4Ik",
+"M! 4IV6 V46aI lI7 l87I 7VI lI7s U;6I +I4k Ik;4D ak;4I U;7I 7I>k 7UDI; 7>UaI",
+" IM6; IM;6+ 6IV; V4+6I 7Il; 7>lI V;7I 7IV> 6U4G 4UG6! J4k 4aJk 7UG UG78 7JU",
+" J87U 4UG6M Ik!4GM V4J6 J4V6a 7UlG 7UGl8 7Jl sJ7V UG6; Idk4+ 4dJk J4gk UG7d",
+" >U7G Jk7d >k7J Idk4M 4+kIdM V6J; gV4J6 7Ild l>G7U ld7J 7Jgl 6NIk IkN6! IkN",
+"6D 6UaIN IkN61 6U8IN 6D1IkN akN68I UQ6I 6UQI! 6QVI V6QaI 6QlI lI6Q8 Vl6QI l",
+"sI6Q Ik(6N 6U+IN 6D(IkN akN6+I 1U(6IN 6UN1+I 6(1UDIN 6NU+1aI 6UQI( 6U+QI V6",
+"QI( V6+QI lI6Q( l+I6Q V6QlI( sIQV6+ UG6W 6UGW! 6UJW J6WUa 6UG1W 6UGW8 J61UW",
+" J68UW UG6Q 6UGQ! J6Zk ZJ6Va 6WlI lWI68 Z6lJ lJZs6 Idk6W 6U+WI J6WUd gJ6UW ",
+"1UW6Id 6W8Idk 6UWJ1d J6Wg1U Idk6Q 6U+GQ ZJ6Vd gV6ZJ lWI6d l+W6I lJZ6d glJZ6",
+" Um6I Ikm6! Ikm4D akm4I Um7I 7U8Im 7UDIm 7UaIm QI4k IMm6! 6IVm V6maI 7plI 7",
+"pU8I 7IVp 7sIVp Ikm6; Ikm4+ 6DmIk; 4+DIkm 7UIm; 7>UIm Ikm7D; >Im7Ua Ik;4Q I",
+"Mm6+ V6mI; V6+Im 7pUI; l>I7p 7VpI; 7V>pI UG6m 4WIk! 4WJk J4kWa UG7W 7UGW8 J",
+"k7W 7JUW8 IMm6G Ik!4GQ J4Zk ZJ4ak 7WlI 7pUG8 Jp7V Jpl7s 4Ivk v6U+G v6Jk Jv6",
+"gU vU7G 7vU>G 7UJv J>k7v 6IvM v6I+M J6Vv Vv6gJ lI7v lvI7> 7Jlv 7Jyl t6I 6It",
+"& 6DtI tIc6 6It1 t6:I t61DI t:c6I 6ItM IM6& tIV6 cIV6 t6lI l6:I ltV6I u6I 6",
+"It( 6+tI t6DI( tc6+I t61I( t:6+I 6D1tI( :c6t+I t6IM( t+6IM Vt6I( t+V6I lt6I",
+"( lt+6I Vt6lI( 6+uI tG6 6Gt& tJ6 c6tJ 6Gt1 t6:G t6J1 J6t: 6GtM tG6M& VtJ6 V",
+"Jc6 l6tG t:Gl6 J6lt uJ6 6Gtd 6+tG J6td g6tJ tG61d t:G6+ tJ61d gtJ:6 tG6dM t",
+"+G6M tdVJ6 gV6tJ ltG6d t+Gl6 lJt6d gJu6 t4I 4It& 4DtI tIc4 7tI 7It: tD7I 7I",
+"tc 4ItM t4IM& tIV4 tc4VI lI7t 7:lI Vt7I u7I 4It; 4+tI t4DI; tc4+I 7It; 7It>",
+" 7tDI; t>7cI t4IM; t4+IM t4VI; t4V+I 7tlI; l>I7t 7VtI; 7>uI t4G 4Gt& tJ4 cJ",
+"t4 7tG 7:tG 7Jt tJ7c 4GtM t4GM& VJt4 tJ4Vc lG7t 7tGl: tJ7V uJ7 4Gtd 4+tG J4",
+"td g4tJ 7Gtd 7>tG td7J 7Jgt t4GdM t4+GM tJ4Vd gt4VJ 7tGld t>G7l lJ;7t g7uJ ",
+"6ItN t6I&N t6DIN tc6IN t61IN t:6IN 6D1tIN :I6tcN 6QtI tQ6I& tQV6I tcQ6I tQ6",
+"lI t:Q6I Vl6tQI 6QuI t6I(N t+6IN 6DIt(N c6It+N 6I1t(N :I6t+N 61t(DIN t6:Ic+",
+"N tQ6I( t+Q6I V6ItQ( t+Ic6Q lI6tQ( t+6:QI l6tQVI( u6+QI 6GtW tG6W& J6tW tcW",
+"J6 tG61W t:G6W tJ61W :Jt6W 6GtQ tGQ6& Z6tJ Zc6tJ tGQl6 t:G6Q lJZt6 ZJu6 tG6",
+"Wd t+G6W tJ6Wd gtJ6W 6WItd1 t+6:WI J61tWd :J6gtW tGQ6d t+G6Q tZJ6d gtZJ6 tW",
+"6lId t+6:GQ tZ6lJd ug6ZJ 4Itm t4Im& t4DIm tc4Im 7Itm t:m7I 7tDIm 7ctIm 4QtI",
+" t4QI& t4VQI tc4QI 7Itp :pI7t tp7VI 7puI t4Im; t4+Im 6Dmt;I t+Ic6m 7tIm; t>",
+"7Im 7DItm; 7cIt>m t4QI; t4+QI tQIV6; t4IcQ; tp7I; tp>7I 7VItp; u7Ip> 4GtW t",
+"4GW& J4tW tJ4cW 7GtW 7tG:W tW7J 7Jt:W 4GtQ t4GQ& ZJt4 tZ4cJ 7ptG tpG7: 7JtZ",
+" 7ZuJ v6tG tv4+G t4Jv cv6tJ tG7v :vI7t 7Jtv g7tJv tv4GQ t4+GQ Vv6tJ cvVJ6 l",
+"vt7G :vI7l lvJ7t yJu7 <e <e! <eB a<e <e. 8<e e.<B a<8e <eK <!eK T<e a<Te <j",
+"e <j8e <jTe s<e <e* +<e <e*B a<+e e*<. 8<+e *B<e. +<a8e e*<K <e+K <eT* T<+e",
+" <e*j <j+e <jeT* +<se G< G<! G<H Ga< G<. G8< G.H< H8G< G<K <KG! GT< T<Ga G<",
+"j 8<Gj H<Gj sG< f< f+< fH< gf< f<. f8< H<f. f8g< f<K +<fK fT< fTg< fj< +<fj",
+" H<fj sf< 4e 4e! 4eB 4ae 4e5 48e 4B5e 5a4e 4eK eK4! 4Te Te4a 4ej 8e4j 5T4e ",
+"s4e =e =+e =Be =ae =5e >e= 5e=B =a>e =eK +e=K =Te +T=e =je =j>e 5T=e s=e 4G",
+"< 4!G< 4He Ga4e G5< G84e H54e H84e 4KG< 4G<!K GT4e 4GTa< G<4j 4G8<j He4j 4G",
+"s< f= f=+ =Hf g=f f=5 f>= f5=H f>g= f=K f+=K =Tf gf=T =jf =jf> f5=T sf= <eN",
+" <!eN eN<B <eaN eN<. <N8e <eN.B aeN8< Q<e <eQ! T<Qe a<Qe <jQe 8<Qe <jeQT Q<",
+"se e*<N <e+N *B<eN aeN+< <e*N. +<8eN <eN*B. +<8aeN <eQ* Q<+e Q<Te* +Q<Te <j",
+"eQ* +Q<8e Q<Tej* s<+Qe G<W W!G< W<He WaG< G.W< W8G< G<HW. G8<Wa GQ< Q!G< Z<",
+"G GaZ< W<Gj Q8G< G<Zj Z<sG fW< +Wf< H<fW fWg< W<f. W8f< fHW<. f8Wg< fQ< +Qf",
+"< Zf< g<Zf W<fj Q8f< fjZ< s<Zf 4em 4!em 4Bem am4e <m5e 8m4e <mB5e aem48 4Qe",
+" Q!4e Qe4T Qa4e p<e 48pe 4Tpe p<se =em +e=m em=B ae=m 5e=m =e>m =B5em >e=am",
+" =Qe +Q=e Qe=T Qa=e p=e >ep= pe=T sep= 4We 4!We H<Gm Wa4e 5W4e W84e 4He5W 4",
+"H8We GQ4e 4GQ<! Z4e 4aZe pG< G8p< pGZ< Z4se fv= =+fv fv=H fvg= v=f5 v>f= =H",
+"fv5 g=fv> =Qf =+fQ Z=f Zfg= fp= p=f> fpZ= yf= ,<e <&e <e,B <&ae <e,. <&8e ,",
+"<e.B <&e8a <e,K <Ke& ,<Te <&Te ,<ej e&<j <je,T <&se <e,* -<e *B<,e a<-e ,<e",
+"*. 8<-e ,<e*B. -8a<e ,<e*K <e-K ,T<e* T<-e <je,* <j-e ,T<ej* -<se ,G< G<& G",
+"<,H G<,a ,.G< G<,8 ,GH<. ,G8H< ,KG< GK<& G<,T T<G& G<,j <&Gj ,GT<j ,Gs< f<,",
+" f-< ,Hf< f-g< ,<f. -8f< fH<,. f-8g< ,<fK fK-< ,Tf< f<-T ,jf< f<-j fT<,j f-",
+"s< ,4e 4e& 4B,e 4e,a 4e,5 4e,8 ,45eB ,48ae ,K4e 4Ke& 4e,T Te4& 4e,j e&4j ,4",
+"T5e ,4se =e, -=e ,e=B -a=e ,5=e -=>e =B5,e >e-=a ,e=K -e=K ,T=e =e-T ,j=e =",
+"e-j =T5,e -=se ,4G 4&,G 4G,H 4G,a 4G,5 4G,8 ,4GH5 ,4GH8 ,K4G ,4G&K 4G,T ,4G",
+"T& 4G,j <&j4G ,4GHj ,4sG f=, f-= fH=, f-g= =,f5 ->f= =Hf,5 g=f-> f,=K =Kf- ",
+"=,fT f-=T =,fj f-=j =Hjf, f-s= <e,N <Ne& ,<eNB aeN<& ,<eN. <&e8N <eN,.B ,8<",
+"aeN ,<Qe <&Qe ,QT<e ,Qa<e <je,Q <&jQe ,QT<je s<Qe& ,<e*N <e-N ,<e*BN -a<eN ",
+"<e*,N. -8<eN ,<*BeN. aeN-8< ,Q<e* Q<-e Q<e,T* -QT<e ,Q<ej* -Q8<e QT,j<e* s-",
+"Q<e G<,W W<G& ,GHW< ,GaW< ,GW<. ,G8W< G<H,W. G8<,Wa G<,Q Q<G& ,GZ< G<Z& ,GQ",
+"<j <&jGQ Z<G,j Z<&sG ,Wf< f<-W fHW,< f-Wg< fW<,. f-W8< ,HWf<. gf8-W< ,Qf< f",
+"<-Q f<Z, f-Z< fQ<,j f-Q8< Zf<,j sfZ-< 4e,m em4& <mB,e aem,4 ,45em <m&5e ,45",
+"emB ,48aem 4e,Q Qe4& ,4QTe <m&Te ,4pe 4ep& p<T,e p<&se ,m=e =e-m =Be,m =a-e",
+"m =5e,m >e-=m emB=5, =a->em ,Q=e =e-Q =QT,e =Q-Te =ep, pe-= p=T,e -ps=e 4G,",
+"W We4& ,4GHm <m&Ga ,4G5W <m&G5 4He,5W 4G8,Hm 4G,Q <m&GQ ,4Ze 4eZ& ,4pG G<p&",
+" Zp<,G Zp<G& v,f= f=-v =Hfv, g=f-v fv=,5 f>-v= fv5=H, f>-g=v =,fQ f-=Q f=Z,",
+" f-Z= p,f= f-p= fpZ=, f-y= I< I<! D<I aI< I<. 8I< D.I< 8ID< I<K <!IK TI< aI",
+"T< I<j Ij8< I<Dj sI< I<* +I< I<D* D<+I <*I. 8I+< I<*D. +D<8I <*IK +KI< I<T*",
+" TI+< <jI* I<+j I<jD* +Is< G<I G!I< J< J<a G.I< 8IG< J<. J8< GKI< I<KG! J<T",
+" T<Ja I<Gj I<jG8 J<j sJ< fI< +If< Jf< gJ< I<f. 8If< f<J. J8g< I<fK f+I<K fT",
+"J< gTJ< I<fj f8I<j fjJ< g<sJ 4I< 4!I< 4De De4a 5I< 8I4e 5D4e D84e 4KI< I<K4",
+"! De4T 4DeTa I<4j I<j48 De4j 4Dse =I =I+ =DI =aI =I5 =I> 5D=I =D>e =IK +I=K",
+" =TI +T=I =Ij >I=j 5T=I s=I G<4I I<!4G J4< 4aJ< 5IG< 4G8I< J5< 48J< I<K4G 4",
+"GKI<! 4TJ< J4Ta< I<j4G 4G8I<j 4eJj J4s< =If f+=I J= J=g f5=I =If> J=5 J>= f",
+"I=K =If+K J=T =TgJ fj=I f>=Ij J=j s=J I<N <!IN DNI< aNI< <NI. IN8< I<ND. D8",
+"<IN QI< Q!I< D<QI aIQ< IjQ< 8IQ< I<jQD QIs< <*IN +NI< I<*DN +D<IN I<*N. +I<",
+"8N D<NI*. a*N8I< I<Q* QI+< QD<I* +QDI< I<jQ* I<j+Q QD<I*j sI<+Q WI< W!I< J<",
+"W WaJ< W.I< 8IW< W<J. W8J< QIG< GQ<I! ZJ< ZaJ< I<Wj I<jW8 JjZ< ZJs< WIf< WI",
+"+< fWJ< gWJ< fWI<. f8WI< JfW<. Jf8W< QIf< fQ+I< JfZ< ZJg< fQI<j fQ8I< ZJ<fj",
+" sJ<Zf I<m <!Im Dm4e I<am Im5< I<8m I<m5D I<m5a QI4e I<mQ! QD4e I<mQa pI< 8",
+"Ip< 4Dpe pIs< =Im +I=m De=m aI=m 5I=m >m=I =D5Im >eD=m =QI +Q=I QD=I Qa=I p",
+"=I p>=I pD=I sp=I WI4e I<mW! J<m a<Jm WI5< I<mG8 5WJ< 8<Jm I<mGQ I<!4GQ J4Z",
+"< ZJ4a< G<pI pG<8I Jp< s<Jp =Iv =+vI J=v Jvg= =5vI v>=I v=J5 v>J= fQ=I =Qf+",
+"I Z=J gZJ= =Ifp fp>=I Jp= yJ= h< h<& hD< hc< h<. h8< D<h. c<h8 h<K <&hK hT<",
+" c<hT hj< 8<hj D<hj hs< h<* h-< D<h* c<h- <*h. -8h< hD<*. c-8h< <*hK -<hK T",
+"<h* h<-T <jh* h<-j hT<*j s<h- hG< G<h& hJ< cJ< G<h. G8h< h.J< J8c< G<hK hG<",
+"&K J<hT cTJ< G<hj h8G<j J<hj s<hJ hf< h<f- J<hf i< f<h. h<f8 Jf<h. i8< f<hK",
+" f-<hK h<fT iT< h<fj f-jh< Jfjh< is< h4 h4& h4D hc4 h45 h48 4Dh5 c4h5 h4K 4",
+"&hK h4T c4hT h4j 48hj 4Dhj hs4 h= h=- h=D c=h h=5 h>= h5=D c=h> h=K =Kh- h=",
+"T hc=T h=j =jh> h5=T hs= h4G 4Gh& hJ4 cJh4 4Gh5 4Gh8 J4h5 J4h8 4GhK h4G&K J",
+"4hT cJ4hT 4Ghj h48Gj J4hj h4sJ h=f f-h= J=h i= f=h5 f>h= h5J= i>= =Khf h=f-",
+"K hJ=T i=T hf=j h=jf> hJ=j is= h<N <&hN D<hN hNc< <Nh. 8<hN hD<N. c<8hN hQ<",
+" Q<h& QDh< c<hQ Q<hj Q8h< hQD<j s<hQ <*hN -<hN hD<*N c-<hN h<*N. h-8<N D<*h",
+"N. h-8c<N Q<h* h<-Q hQD<* c-Qh< hQ<*j h-Q8< QD<hj* hs-Q< hW< W<h& J<hW c<hW",
+" W<h. W8h< J<Wh. cJ<W8 GQh< hWQ<& hZ< Z<hc W<hj hW8Q< Z<hj s<hZ fWh< h<-W J",
+"fWh< iW< hfW<. hf8W< hfWJ<. W8i< h<fQ f-Qh< Z<hf iZ< hfQ<j fQ8h< hZf<j sZi<",
+" h4m 4&hm 4Dhm c4hm 5<hm 48hm h45Dm c5<hm h4Q 4Qh& 4QhT c4hQ hp4 p<h8 pDh4 ",
+"h4cp h=m -=hm hm=D hmc= =5hm >=hm h=5Dm c=h>m h=Q h-=Q hQ=D hc=Q hp= h=-p =",
+"Dhp s=hp h4W 4Wh& J4hW c4hW 4Wh5 4Wh8 J5<hW cJ5W< 4GhQ h4WQ& hZ4 h4Zc pGh4 ",
+"hp4G8 h4Jp sZh4 hv= -vh= J=hv iv= v=h5 v>h= J=hv5 v>i= =Qhv h=Q-v hZ= iZ= h",
+"=fp fp-h= Z=hp yi= 6e 6e! 6eB 6ae 6e1 68e 6B1e 1a6e 6eK eK6! 6Te Te6a 6ej 8",
+"e6j 1T6e s6e 6e* 6+e *B6e +e6a 1e6* 1+6e 6e1*B 6+e1a e*6K 6K+e Te6* +T6e ej",
+"6* +e6j 6Te1* 6+se 6G< 6!G< 6He Ga6e 1G< G86e 1H6e Ga1< 6KG< 6G<!K GT6e 6GT",
+"a< G<6j 6G8<j GT1< 6Gs< f6 f6+ f6H gf6 f61 f68 6Hf1 f6g1 f6K 6+fK f6T fTg6 ",
+"f6j 6+fj 6Hfj sf6 4e6 6!4e 4B6e 6a4e 7e 7e8 7eB 7ae 4K6e 4e6!K 6T4e 4Te6a 7",
+"ej 8e7j 7Te 7se =6e 6+=e 6e=B 6a=e 7=e >e7 =B7e 7a>e 6e=K =6+eK 6T=e =T6+e ",
+"7e=j >j7e 7e=T >e7s 6G4e 4G6<! 6H4e 4Ga6e 7G< G87e 7He Ga7e 4G6<K 6GK4e! 4G",
+"T6e 6GT4ae G<7j 7G8<j GT7e 7Gs< f=6 =+f6 f6=H f=g6 7f 7f> 7fH g7f =Kf6 f=6+",
+"K f6=T g=f6T 7fj fj7> 7fT sf7 6eN eN6! eN6B 6Nae 6N1e 6N8e 6e1NB 68eaN 6Qe ",
+"Q!6e Qe6T Qa6e 1Q6e Q86e 6Qe1T 6Qse e*6N 6N+e 6e*NB 6+eaN 6e1*N 6+e1N 1eN6*",
+"B aeN68* Qe6* +Q6e 6QeT* 6+QTe 6Qe1* 6+Q1e 1Qe6T* s6e+Q 6We 6!We He6W Wa6e ",
+"1W6e W86e 6He1W 6H8We GQ6e 6GQ<! Z6e 6aZe GQ1< 6GQ8< 6eZ1 Z6se f6W 6+fW 6Hf",
+"W gWf6 6Wf1 6Wf8 f61HW f68gW f6Q 6+fQ Zf6 g6Zf 6Wfj 6Qf8 f6Z1 s6Zf 6em 6!em",
+" 6Bem ae6m 7em 8e7m em7B ae7m 6Q4e 4Qe6! Te6m aem6Q 7pe 78pe pe7T 7pse 6e=m",
+" +e6m =B6em =a6em =m7e >m7e 7=emB 7ae>m 6Q=e =Q6+e =Q6Te =Qa6e 7ep= 7p>e 7p",
+"e=T 7sep= 6W4e 4We6! He6m aem6G 7We W87e He7W Wa7e 4GQ6e <m!6GQ 4eZ6 Z4e6a ",
+"pG7e 7pG8< 7Ze se7Z fv6 f+v6 fHv6 fvg6 7fv f>7v fv7H gf7v f6=Q =Qf6+ fvZ6 Z",
+"f6g= 7fp 7pf> 7Zf y7f ?e ?e& ?Be ?ae ?1e ?:e 1e?B :e?a ?eK e&?K ?Te Te?a ?j",
+"e :e?j 1T?e s?e ?e* ?-e *B?e -a?e 1e?* :e?- ?B1e* ?:-ae e*?K -e?K Te?* ?e-T",
+" ej?* ?e-j ?T1e* ?-se ?G ?G& ?GH ?Ga ?G1 ?:G 1G?H :G?H ?GK G&?K ?GT GT?a ?G",
+"j :G?j 1G?T s?G ?f ?f- ?fH g?f ?f1 :f? f1?H :fg? ?fK ?Kf- ?fT ?Tgf ?fj ?j:f",
+" f1?T s?f ?4e 4e?& 4e?B 4a?e 7?e 7:e ?B7e 7e?a 4e?K ?4e&K 4T?e ?T4ae 7e?j 7",
+"j:e 7e?T 7?se ?=e =e?- ?B=e =e?a 7e?= Ae ?=7eB Aae ?e=K ?-=eK =e?T ?-T=e =e",
+"?j Aje ?T7=e Ase ?G4 4G?& 4G?H 4G?a ?G7 7:?G 7G?H 7G?a 4G?K ?G4&K 4G?T ?GT4",
+"a 7G?j ?:G7j 7G?T ?G7s ?f= f-?= =H?f ?fg= 7f? Af ?H7f Agf =K?f ?f-=K =T?f ?",
+"fTg= =j?f Afj ?T7f Asf ?eN e&?N eN?B ae?N 1e?N ?N:e ?B1eN ?:aeN ?Qe Qe?& Qe",
+"?T Qa?e 1Q?e :e?Q ?Q1Te ?Qse e*?N -e?N ?Be*N ?-aeN ?1e*N ?:-eN 1e*?BN :-e?a",
+"N Qe?* ?e-Q ?QTe* ?-QTe ?Q1e* ?:Q-e 1Qe?T* s?-Qe ?GW G&?W He?W Ga?W 1G?W :G",
+"?W ?G1HW ?:GWa ?GQ GQ?& ?ZG Ze?a 1G?Q :G?Q Z1?G sG?Z ?fW f-?W fH?W ?Wgf f1?",
+"W ?W:f ?f1HW g?:fW ?fQ f-?Q ?Zf ?fZ- f1?Q ?Q:f ?jZf ?Zsf ?me em?& em?B ae?m",
+" 7e?m :e?m ?m7eB ?:mae 4Q?e ?Q4e& Te?m ?Qa4e ?pe 7e:p pe?T se?p =e?m ?e-m ?",
+"=emB ?-mae ?=7em Aem 7=e?mB aeAm =e?Q ?-Q=e ?Tm=e ?-Tem pe?= Ape ?p=Te spAe",
+" ?Gm Gm?& Gm?H Ga?m 7G?W :G?m ?G7Hm ?:GHm 4G?Q ?GQ4& Z4?G ?Z4Ga ?pG ?G:p ?G",
+"7Z sG?p ?vf -v?f fv?H gf?v 7f?v Afv ?v7fH gfAv =Q?f ?fQ-v ?fZ= g?Zfv ?pf Ap",
+"f 7f?Z yAf 6I< 6!I< 6De De6a 1I< 8I6e 1D6e D86e 6KI< I<K6! De6T 6DeTa I<6j ",
+"I<j68 De6j 6Dse 6I* +I6e De6* +D6e 1I6* +I1< 6De1* 6+D1e 6KI* 6+I<K TI6* 6+",
+"DTe I*6j I<j6+ I*j6D 6Is* G<6I I<!6G J6< 6aJ< G<1I 6G8I< J1< 68J< I<K6G 6GK",
+"I<! 6TJ< J6Ta< I<j6G 6G8I<j 6eJj J6s< f6I 6+fI Jf6 Jfg6 6If1 68fI f6J1 J1g<",
+" 6IfK f6+IK fTJ6 Jf6gT 6Ifj f68Ij f6Jj Jfs6 6I4e I<!46 6D4e 4De6a 7I< 8I7e ",
+"7De D87e I<K46 6IK4e! 4De6T 6TI4ae I<7j 7I8<j De7T 7Dse =I6 6+=I 6D=I 6a=I ",
+"=I7 7>=I 7D=I 7D>e 6I=K =I6+K 6T=I =TI6+ 7I=j 7>I=j 7T=I =I7s 4G6I< 4G6I<! ",
+"4eJ6 J46a< G<7I 7G8I< 7J< J87e 4G6I<K 6!4GI<K J46T< 4TeJ6a 7GI<j I<j7G8 J<7",
+"T s<7J f6=I =If6+ J=6 g6J= 7fI 7If> 7Jf J>7f =If6K f6+=IK J6=T J=g6T fj7I 7",
+"f>Ij =T7J 7Jsf 6NI< I<N6! 6NDe 6DeaN 1NI< 68I<N 6De1N 6D8eN QI6e 6QI<! QD6e",
+" 6QDae QI1< 6Q8I< 6QD1e sI<6Q 6NI* 6+I<N 6De*N 6+DeN 6I*1N 68I*N I<N1D* a*N",
+"68I QI6* 6+QI< 6QDI* 6+QDe I*j6Q 6Q8I* 6QDI*j sI*6Q WI6e 6WI<! 6WJ< J6Wa< W",
+"I1< 6W8I< 1WJ< J68W< 6GQI< I<!6GQ J6Z< ZJ6a< I<j6W 6W8I<j J1Z< sJ6Z< 6WfI f",
+"6+WI JWf6 Jf6gW f61WI f68WI Jf61W Jf6W8 6QfI f6Q+I JfZ6 Zf6gJ f6Q1I f6Q8I Z",
+"f6J1 sf6ZJ I<6m I<m6! De6m aem6D I<7m 7I8<m De7m 7De8m I<m6Q Im!6Qe I<m6T 6",
+"QDaem pI7e 7pI8< pD7e 7sIp< 6I=m =I6+m =D6Im =aI6m =m7I 7>I=m 7De=m 7>Dem 6",
+"Q=I =QI6+ =QD6I =Qa6I 7p=I p=I7> p=D7I s=I7p I<m6G I<!6Gm 6eJm J6ma< WI7e 7",
+"WI8< J<7W 7JW8< 6GQI<m I<6mGQ! ZJ46e Z6aJ<m 7pGI< 7G8pI< Z<7J Jp<7s v6=I =I",
+"v6+ fvJ6 J=gv6 =I7v 7vIf> 7vJ= J>=7v =Qf6I =Q+v6I Z6J= Z=Jg6 7Ifp 7fp>I Z=7",
+"J 7Jyf h? h?& h?D ?ch h?1 h:? ?Dh1 ?ch: h?K ?Kh& h?T hT?c h?j ?:hj ?Dhj hs?",
+" h?* h?- h*?D h-?c ?1h* ?:h- ?D1h* h:?c- ?Kh* ?Kh- h*?T ?-hT h*?j ?-hj ?Djh",
+"* h?s- h?G h&?G ?J ?Jc ?Gh1 ?Gh: ?J1 ?J: ?KhG ?G&hK ?JT cJ?T ?Ghj ?:Ghj ?Jj",
+" s?J ?fh h-?f ?Jf i? h1?f ?fh: J1?f i?: ?Khf ?fh-K hT?f i?T hj?f ?fjh: Jf?j",
+" i?s h?4 ?4h& ?Dh4 h4?c 7h 7h: 7hD 7hc ?Kh4 h?4&K ?Th4 ?ch4T 7hj 7:hj 7hT h",
+"s7 h=? ?-h= h?=D ?ch= 7h= Ah =D7h Ahc =Kh? h=?-K h?=T c=?hT =j7h Ahj =T7h A",
+"hs ?Gh4 ?G4h& ?J4 c4?J 7hG 7Gh: ?J7 7c?J ?G4hK h4&?GK J4?T ?Jc4T 7Ghj 7h:Gj",
+" hT7J 7Jhs ?fh= h=?f- ?J= i?= 7hf Ahf 7f?J Ai h=?fK ?f-h=K =T?J =Ti? hj7f h",
+"fAj =j?J Ais h?N ?&hN hN?D hN?c ?1hN hN?: ?D1hN h:?cN h?Q h&?Q ?QhT hQ?c ?Q",
+"h1 ?:hQ ?QDh1 hQs? ?*hN hN?- ?D*hN ?ch-N h?1*N h:?-N h1*?DN ?c-h:N h*?Q ?-h",
+"Q ?QDh* ?cQh- h?Q1* h:Q?- ?Q*h1T hs?-Q h?W h&?W ?JW hW?c ?Wh1 ?:hW J1?W ?W:",
+"J ?GhQ ?GQh& hZ? ?chZ ?Whj h:W?Q h1?Z s?hZ hW?f ?-hW Jf?W i?W ?fh1W h:W?f ?",
+"Jf1W ?:iW hQ?f ?fQh- ?fhZ i?Z ?fQh1 :fQh? hZ?f1 s?iZ h?m h&?m ?Dhm hm?c 7hm",
+" ?:hm 7Dhm hm7c ?Qh4 h?Q4& ?Thm ?cQh4 hp? h:?p hT?p s?hp ?=hm ?-hm ?Dmh= c=",
+"?hm 7=hm Ahm 7h=Dm hcAm h?=Q h=Q?- h=Q?D c=Qh? h=?p Aph hp?=D hpAs ?Ghm ?Gm",
+"h& ?Jm cJ?m 7hW 7:hW hW7J hW7c ?GQh4 ?G&h4Q h4?Z hZ?c4 hW?p hp?:G hZ7 7Zhs ",
+"hv? h?-v ?Jv i?v hv7 Ahv 7Jhv Aiv hQ?v hv?-Q ?Zhv ?Ziv ?phv hpAf 7Zhv Aiy <",
+"eL <!eL eL<B <eaL eL<. <e8L <eL.B aeL8< <Me <!Me <MTe <Mae Me<j <M8e <MeTj ",
+"<Mse e*<L <e+L *B<eL aeL+< <e*L. +<8eL <eL*B. +<8aeL <eM* <M+e <MeT* aMe+< ",
+"<Me*j +<M8e T<Mej* s<+Me G<L <LG! GLH< GLa< <LG. GL8< G<HL. G8<HL G<M G!<M ",
+"H<GM a<GM <MGj 8<GM GT<Mj G<sM f<L +<fL H<fL f<gL <Lf. 8<fL fH<L. f8<gL fM<",
+" +<fM H<fM fMg< <Mfj 8<fM fT<Mj fMs< 4eL eL4! eL4B 4Lae 4L5e 4L8e 4e5LB 48e",
+"aL 4Me 4!Me Te4M aM4e 5M4e 8M4e 4Te5M 4Mse =eL +e=L eL=B ae=L 5e=L =e>L =B5",
+"eL >e=aL =Me +M=e Te=M aM=e 5M=e =M>e =T5Me se=M 4LG< 4G<!L 4LHe 4Ga<L GL5<",
+" 4G8<L 4He5L 4H8eL G<4M 4GM<! HM4e aMe4G 5<GM 4G8<M 4HM5e s4G<M f=L f+=L fH",
+"=L =Lgf =Lf5 >Lf= =Hf5L g=f>L =Mf =+fM fT=M gf=M f5=M =Mf> =HMf5 =Msf eL<N ",
+"<eL!N <eLNB aeL<N <eLN. 8<eLN eLN<.B 8<LaeN <MQe <MeQ! <MeQT aMeQ< <MeQj Q8",
+"<Me Q<TMej s<QMe <e*LN +<eLN <eL*BN +<LaeN e*L<N. 8<L+eN NB*L<e. a<+e8LN <M",
+"eQ* +Q<Me Q<TMe* +Q<aMe Q<Mej* Q8<+Me QMejT<* +Q<seM GLW< G<W!L G<HWL Ga<WL",
+" G<WL. G8<WL W<LHe. aeLW8< W<GM GQ<M! G<ZM Z<GaM GQ<Mj GQ8<M Z<GMj sZ<GM W<",
+"fL f+W<L fHW<L gfW<L fW<L. f8W<L H<WfL. g<Wf8L W<fM fQ+<M fMZ< Zfg<M fQ<Mj ",
+"fQ8<M Zf<Mj sfZ<M 4Lem <mLe! <mLeB aem4L <mL5e 48emL 5<LemB aeL8<m Qe4M <Mm",
+"e! <MmTe aMe4Q 4Mpe p<8Me p<TMe sp<Me em=L =+emL =BemL =aemL =5emL >e=mL em",
+"L=B5 =am>eL Qe=M =Q+Me =QTMe =QaMe pe=M p=>Me p=TMe s=pMe 4LWe 4We!L 4HeWL ",
+"4WaeL 4We5L 4W8eL <mLH5e aeL4W8 WM4e <MmG! 4MZe Z4eaM G<pM pG<8M Zp<GM Z4es",
+"M =Lfv fv=+L =HfvL g=fvL fv=5L f>v=L fv5=HL f>vg=L fv=M =Qf+M =MZf g=MZf =M",
+"fp fp>=M fpZ=M =Myf <e,L <Le& ,<eLB aeL<& ,<eL. <&e8L <eL,.B ,8<aeL ,<Me Me",
+"<& <Me,T aMe<& <Me,j <M&8e ,T<Mej s<Me& ,<e*L <e-L ,<e*BL -a<eL <e*,L. -8<e",
+"L ,<*BeL. aeL-8< <Me,* <M-e ,T<Me* -T<Me ,M<ej* -M8<e <M,jTe* s-<Me ,LG< GL",
+"<& ,GH<L ,Ga<L ,G<L. ,G8<L G<L,H. <&LH8e G<,M <MG& ,GT<M <M&GT ,GM<j <M&G8 ",
+"G<M,Hj sG<,M ,<fL -<fL fH<,L f-<gL f<,L. f-8<L ,H<fL. g-<f8L ,Mf< f<-M fT<,",
+"M f-T<M fM<,j f-M8< ,HMfj< sf-<M ,L4e 4Le& ,4eLB ,4aeL ,45eL ,48eL 4eL,5B a",
+"eL,48 4e,M Me4& ,4TMe aMe,4 ,4M5e <M&5e 4Te,5M s4e,M ,e=L -e=L =Be,L =a-eL ",
+"=5e,L >e-=L ,5e=BL =a->eL ,M=e =e-M =TM,e =T-Me =M5,e >M-=e ,5T=Me s=-Me ,L",
+"4G ,4G&L ,4GHL ,4GaL ,4G5L ,4G8L ,4LH5e <&LG5a 4G,M <M&4G ,4GHM Me&4H ,4G5M",
+" <M&G5 4GT,5M s4G,M f,=L =Lf- =Hf,L g=f-L f=5,L f>-=L f5,=HL f>-g=L =,fM f-",
+"=M =HMf, g=Mf- =Mf,5 f>M-= =H,f5M sf=-M ,<eLN <&eLN <eL,NB <&LaeN <eL,N. 8<",
+"Le&N .B,L<eN a<8e,LN <Me,Q <M&Qe ,QT<Me Qa<Me& ,Q<Mej Q8<Me& QMej,T< <M&seQ",
+" <e*,LN -<eLN NB*L,<e aeL-<N N.*L,<e 8<e-LN <e,.NB*L ae-L8<N ,Q<Me* -Q<Me Q",
+"TM*,<e aMe-Q< QMej,<* Q8<-Me T*,M<jQe -Q<seM ,GW<L G<&WL G<H,WL aeLW<& G<L,",
+"W. <&LW8e WL,.G<H WLa<,G8 ,GQ<M <M&GQ Z<G,M Z<&GM G<M,Wj GQ8<M& ,GMZ<j s<MZ",
+"e& fW<,L f-W<L ,HWf<L gf<-WL ,W<fL. -W<f8L ,<fLHW. gWf8-<L fQ<,M f-Q<M Zf<,",
+"M Z-f<M ,WMfj< f8<-WM fM<Z,j Z-<sfM <mL,e <m&eL ,4LemB aeL<m& ,45emL <mL5e&",
+" 5L<m,eB a<8me&L <Mm,e <Mme& ,4TMem <M&aem p<M,e p<&Me ,4TpeM s<Mpe& =em,L ",
+"-=emL emL=B, -me=aL emL=5, -=m>eL 5m=L,eB >m=a-eL =QM,e =Q-Me Mem=T, =Te-Mm",
+" p=M,e -p=Me peT=M, s=M-pe ,4GWL <m&GL emL,4H aeL,4W <mL,G5 <mL,G8 ,L4GH5W ",
+"4G,8amL <Mm,G <MmG& Z4e,M Z4eM& pG<,M pG<M& Z4MpG, s<MpG& fv=,L -vf=L fv,=H",
+"L -vfg=L v=,f5L -v=f>L =,f5vHL >Lg=-vf =Qf,M -vMf= Z=f,M Z-=fM fp=,M fp-=M ",
+"Z=Mfp, yf-=M U<I U!I< D<Ue aIU< U.I< 8IU< I<.UD U8<De I<M <!IM V<I aIV< I<U",
+"j I<8M I<Vj V<sI I<U* +IU< I<*UD U+<De I<*U. U+<8I U<DI*. +D<U8e <MI* I<+M ",
+"I<V* +IV< I<M*j I<M+j V<I*j sI<V+ UG< U!G< J<U UaJ< U.G< G8U< U<J. U8J< GMU",
+"< I<MG! J<V JaV< G<Uj I<MG8 V<Jj VJs< fU< U+f< fUJ< J<gU U<f. U8f< JfU<. Jf",
+"8U< U<fM fU+<M Vf< g<Vf U<fj fU8<M V<fj s<Vf 4Ue 4!Ue Ue4D Ua4e U54e U84e 4",
+"Ue5D 4U8De Ue4M I<M4! V4e 4aVe Ue4j I<M48 4eV5 V4se =UI U+=I Ue=D Ua=I U5=I",
+" =U>e =U5De >eU=D =IM +I=M V=I V+=I Ue=j =I>M V5=I >eV= UG4e 4UG<! 4UJ< J4U",
+"a< G5U< 4UG8< U5J< J48U< I<M4G I<!4GM V4J< J4Va< I<MG5 4G8I<M V5J< sJ4V< =U",
+"f =+fU J=U =UgJ f5=U =Uf> J5=U =UJ> fU=M =Uf+M J=V gVJ= fU=j f>U=M =jVf Vfs",
+"= UNI< I<NU! I<NUD Ua<IN I<NU. U8<IN D<NUe. aeNU8< QIU< I<MQ! QIV< V<QaI I<",
+"MQj I<MQ8 V<QIj sI<VQ I<*UN U+<IN U<DI*N aeNU+< U<NI*. I<NU8* I<U*DN. UN+<D",
+"8e I<MQ* I<M+Q V<QI* V+<QI UQ<I*j U+QI<j I<jV*Q sIQV+< G<UW UG<W! UWJ< J<UW",
+"a UG<W. UG8W< J<UW. J8<UW GQU< I<MW! VZJ< ZJ<Va I<MWj I<MW8 ZJ<Vj sJ<VZ UWf",
+"< fU+W< JfUW< gJ<UW fUW<. fU8W< fUWJ<. J8WgU< UQf< fUQ+< Z<Vf VfZg< fUQ<j f",
+"UQ8< VfZ<j sfVZ< Um4e I<mU! I<mUD aem4U I<mU5 I<mU8 5D<Uem 4U8aem UQ4e I<Mm",
+"! 4QVe V4eQa 4Upe pU<8I pIV< Vp<sI Ue=m =U+Im =UDIm =UaIm =U5Im >eU=m U5e=D",
+"m >Im=Ua UQ=I =UQ+I Ve=Q V=+QI pU=I p=U>e =IVp V>ep= UW4e 4UWe! U<Jm J<mUa ",
+"4UW5e 4UW8e J5<UW J8<Um I<M4W I<!4WM V4Ze Z4Vae UGp< pUG8< J<Vp Jp<Vs fv=U ",
+"=Ufv+ =UJv J=gvU =Ufv5 f>Uv= J=vU5 J>=vU fU=Q =Uf+Q VfZ= J=VgZ =Ufp fpU>= V",
+"=Jp J=yV hU< U<h& U<hD hUc< U<h. U8h< hUD<. c<Uh8 hM< <Mh& Vh< c<Vh U<hj 8<",
+"hM V<hj s<Vh U<h* h<-U hUD<* c-Uh< hU<*. -U8h< U<Dh*. hc8-U< <Mh* h<-M h<V*",
+" V<h- hM<*j -Ujh< Vh<*j V-hs< UGh< G<U& hUJ< cUJ< hUG<. h8UG< J<Uh. cJ<U8 G",
+"<hM hMG<& J<Vh VJc< hMG<j h8MG< VhJ<j sJ<Vh h<fU f<-U JfUh< iU< fU<h. f-U8<",
+" hJ<fU. U8i< h<fM f-U<M V<hf iV< fUjh< f-U<j Vfh<j s<iV h4U 4Uh& 4UhD hUc4 ",
+"4Uh5 4Uh8 h4U5D c5<hU h4M 4Mh& Vh4 c4Vh 4Uhj 48hM V4h5 s4Vh h=U h-=U hU=D h",
+"c=U h5=U =Uh> h=U5D c=h>U h=M h-=M V=h h=V- h5=M >Mh= =jVh V=hs 4UhG h4UG& ",
+"hUJ4 cJ4hU h4UG5 h48UG J5<hU cJ5U< 4GhM h4MG& J4Vh Vh4cJ h4MG5 h48GM Vh4J5 ",
+"hs4VJ hf=U f-=U hJ=U i=U h=fU5 f>Uh= J=hU5 =Ui> hf=M h=Mf- h=Vf iV= h=Mf5 h",
+">Mf= J=Vh5 s=iV U<hN hU<&N hUD<N c<UhN hU<N. h8U<N U<DhN. h8Uc<N UQh< hQU<&",
+" V<hQ VhcQ< hQU<j hQ8U< VhQ<j hsVQ< hU<*N -U<hN U<Dh*N hc<-UN U<*hN. h8<-UN",
+" UDhN<*. hUc<-8N hQU<* -UQh< VhQ<* V-hQ< UQ<hj* -U<hQ8 hQ<V*j hsQV-< UWh< h",
+"WU<& J<UhW cJ<UW hWU<. hW8U< hWUJ<. cWUJ8< W<hM hWM<& Z<Vh Zc<Vh hWM<j hW8<",
+"M hZV<j hZsV< fUWh< f-UW< hJWfU< UWi< hW<fU. fU<hW8 hUJ<fW. iUW8< fUQh< f-U",
+"Q< VfZh< Z<iV fU<hWj fU<-Wj hZ<Vfj iZVs< 4Uhm h4Um& h4UDm c<mhU h4U5m h48Um",
+" U5<hmD c4Uh8m 4UhQ h4QU& V4hQ Vh4cQ pUh4 hp4U8 h4Vp cp<Vh hm=U h=-Um h=UDm",
+" c=hUm h=U5m h>=Um h5U=Dm h>Uc=m hQ=U h=Q-U =QVh c=VhQ =Uhp -pUh= V=hp cp=V",
+"h 4UhW h4WU& J<mhU cJ<Um h4WU5 h4WU8 J4Uh5W c4Uh5W 4WhM h4WM& Z4Vh hZ4Vc hp",
+"4UG pUG<& Jp<Vh cpJV< =Uhv -vUh= J=hvU =Uiv hv=U5 hv>=U hvUJ=5 iv>=U =Mhv h",
+"vM-= V=hZ Z=iV fpUh= fp-=U Jp=Vh yVi= 6ek 6!ke 6Bke ak6e <k1e 8k6e <kB1e ak",
+"e68 6Me 6!Me Tk6e aM6e l<e 68le 6Tle s6le ke6* +k6e <kBe* ake6+ ke*1< 6+e8k",
+" 6e1k*B 68eak* Me6* +M6e 6Tek* aMe6+ 6el* 6+le l<Te* ls<+e G<k G!<k H<Gk a<",
+"Gk Gk1< 8<Gk 6He1k 6H8ke G<6M 6GM<! HM6e aMe6G lG< G8l< 6Hle sGl< f6k 6+fk ",
+"6Hfk f6gk 1<fk 68fk f61Hk f68gk f6M 6+fM 6HfM f6gM lf6 f6l+ f6lH l<sf 4ke 4",
+"!ke 4Bke ak4e 7ek 8k7e ke7B ak7e 6M4e 4keM! Tk4e ake4T le7 l87e 7Tle le7s =",
+"ke +k=e ke=B ak=e 7e=k =k>e 7=ekB 7ae>k 6M=e =k+Me Tk=e =Tk+e l=e >el= le=T",
+" les= G<4k 4Gk<! Hk4e ake4G G<7k 7G8<k Hk7e 7Ga<k 4Gk<M <k!4GM 4GT<k 4GTake",
+" 7Gl< lG78< 7Hle 7sGl< =kf =+fk fk=H gf=k 7fk >k7f fk7H gk7f f6=M =kf+M fT=",
+"k g=kfT lf7 l>7f =Hlf g7lf 6Nke <kNe! <kNeB ake6N <kN1e 68ekN 1<NkeB akN68e",
+" Qk6e 6QeM! 6QeTk ake6Q 6Qle l<Q8e l<QTe ls<Qe <kNe* 6+ekN 6eNk*B akN6+e 6e",
+"1k*N <kN1+e <k1e*BN a<+k1eN 6Qek* 6+Qke Qke6T* 6+Qake l<Qe* l+<Qe 6Qel*T s<",
+"Ql+e W<Gk 6Wek! 6HeWk ake6W 6We1k 6W8ke H<k1We 6W8ake WM6e 6WMe! 6MZe Z6eak",
+" 6Wle lG<W8 Z6le lZ<sG 6Wfk f6+Wk f6HWk gf6Wk f61Wk f68Wk 1H<fkW f1Wg<k 6Wf",
+"M f6Q+k f6Zk Zf6gk f6lW lf6+W l<Zf glfZ6 ke6m <kme! <kmeB ake6m ke7m 7e8km ",
+"7ekmB 7aekm Qk4e Mem6! <kmTe ake4Q 7ple 7pel8 7pelT 7selp ke=m =k+em =kemB ",
+"=akem 7=ekm >k=em =km7eB 7am>ke Qk=e =Qk+e =QkTe =Qake lep= l>ep= l=pTe l=s",
+"pe Wk4e <kmG! <kmHe ake4W Wk7e 7We8k 7HeWk 7Wake <kmGQ <k!4GQ 4kZe Z4kae 7W",
+"le 7Wel8 le7Z 7Zels fv=k =kfv+ =Hkfv g=kfv fk7v f>k7v 7fvHk g7fvk fQ=k =Qf+",
+"k =kZf Z=kgf 7flv lfp7> 7Zlf lfy7 ?ke ke?& ke?B ak?e 1e?k ?k:e ?B1ke ?:ake ",
+"?Me Me?& Tk?e aM?e l?e ?:le ?Tle les? ke?* ?e-k ?Bke* ?-ake ?1ke* ?:-ke ke*",
+"?B1 :-k?ae Me?* ?e-M ?Tke* ?-Tke ?el* ?-le l?Te* l-?se ?Gk Gk?& Gk?H Ga?k 1",
+"G?k ?k:G ?G1Hk ?:GHk ?GM GM?& GT?M Ga?M l?G ?:lG ?GlH lGs? ?fk fk?- fk?H gk",
+"?f ?1fk fk?: ?f1Hk g?:fk ?fM f-?M fT?M gM?f lf? ?fl- lH?f lfg? 4k?e ke4& ?B",
+"4ke ?a4ke ?k7e 7k:e 7?keB ?a7ke 4M?e ?M4e& ?T4ke ?aM4e 7?le 7:le ?T7le 7sel",
+"? ?k=e =e-k ?=ekB =a?ke ?=7ke Ake 7ek?=B akAe =e?M ?-M=e =T?ke ?aM=e ?=le A",
+"le l=?Te lsAe 4G?k ?G4k& ?G4Hk ?Ga4k ?k7G ?:G7k ?G7Hk ?G7ak 4G?M ?GM4& ?GT4",
+"k ?Ga4M 7l?G l?G7: l?G7H s?G7l =k?f f-=k ?f=Hk g=k?f fk7? Afk 7f?Hk gfAk =M",
+"?f ?fM-= ?fT=k g?Mf= ?fl= Alf lf?=H glAf ke?N ke&?N ?BkeN ?akeN ?1keN ?:ekN",
+" keN?B1 :ek?aN Qk?e ?Qke& ?QTke ?Qake ?Qle ?:Qle l?QTe s?lQe ?ke*N ?-keN ke",
+"*?BN -ke?aN ke*?1N :ek?-N ke?B1*N ak:e?-N ?Qke* ?-Qke Qke?T* ?Qe-Tk l?Qe* l",
+"-?Qe leQ?T* s?Ql-e Gk?W ?GWk& ?GHWk ?GaWk ?G1Wk ?:GWk 1He?Wk ?Hk:We GQ?M ?G",
+"Qk& Zk?G ?ZGak ?GlW l?G:W lG?Z s?ZlG fk?W ?-Wfk ?fHWk g?fWk ?f1Wk :f?Wk f1H",
+"?Wk :fWg?k fQ?M ?fQ-k ?MZf g?Zfk lW?f lf?:W ?Zlf gl?Zf ke?m ?mke& ?mkeB ?am",
+"ke ?m7ke ?:mke 7ek?mB ?ak:em Me?m ?Mme& ?Tmke ?aMem le?p :pel? ?plTe s?ple ",
+"?=ekm ?-mke =ke?mB ?ae-km 7=e?mk keAm =B?m7ek Akmae ?Mm=e ?-Mem ?Qe=Tk ?Qe=",
+"ak l=?pe leAp ?pTl=e Apels Gk?m ?Gmk& ?GmHk ?Gakm ?G7Wk ?:Gkm ?Hk7We ?Gk7Wa",
+" GM?m ?GMm& ?Z4Gk ?GaMm lG?p ?pGl: ?Zl7G s?plG fk?v -vk?f ?vfHk g?vfk ?v7fk",
+" fvAk 7fH?vk Avkgf fv?M ?vMf- ?Zf=k g?vfM ?plf lfAp lv?Zf ylAf 6Ue 6!Ue Ue6",
+"D Ua6e 1U6e U86e 6Ue1D 6U8De Ue6M I<M6! V6e 6aVe lI< 8Il< V6le sIl< Ue6* U+",
+"6e Ik*6D ak*6I Ik*1< Ik*68 1Ue6D* 6D8Ik* IM6* I<M6+ 6IV* 6+Ve 6Il* +Il< lI<",
+"V* sI<l+ UG6e 6UG<! J<k a<Jk UG1< 6UG8< 1UJ< 8<Jk I<M6G I<!6GM V6J< J6Va< U",
+"Gl< lG<U8 lJ< l<sJ f6U 6Uf+ f6Jk J<gk 6Uf1 6Uf8 Jf61U Jf6U8 6UfM f6U+M Vf6 ",
+"g6Vf f6lI lf6U+ l<Vf l<gJ 6U4e 4Ue6! Dk4e ake4U 7Ue U87e Ue7D Ua7e I<M4k Ik",
+"!4Me 4kVe V4e6a 7Ule 7Uel8 7Ve se7V =Ik +I=k Dk=I aI=k 7U=I =I>k 7Ue=D 7>UD",
+"e 6I=M =Ik+M V6=I V=6+I l=I =Il> =I7V >e7V 4UG6e I<!4Gk 4kJ< J4ka< UG7e 7UG",
+"8< J<7U 7JU8< 4GkI<M 6!UG4Me J4V6e J4aV6e 7UGl< 7U8lG< l<7J lJ<7s f6=U =Uf6",
+"+ J=k =kgJ 7fU 7Uf> =U7J >kJ= =Uf6M =U+f6M =kVf J=Vg6 =Ulf lf7>U l=J 7Vsf 6",
+"NUe 6Ue!N 6UeDN 6UaeN 6Ue1N 6U8eN IkN1D< akN1I< UQ6e 6UQe! 6QVe V6eQa QIl< ",
+"lI<Q8 lI<VQ sI<lQ Ik*6N 6U+eN I<NDk* akN6I* I<N1U* I<N1U+ IkD*1<N Ua1*I<N I",
+"k*6Q 6U+Qe V6eQ* V6+Qe lI<Q* l+IQ< lIQV6* sIQl+< UW6e 6UWe! W<Jk J<kWa 6UW1",
+"e 6UW8e J1<UW J8<Wk I<M6W I<!6WM J<Zk ZJ<ak WIl< lWI8< ZJl< lJ<sZ 6UfW f6U+",
+"W Jf6UW gJ<Wk f6U1W f6UW8 J6Wf1U J6WfU8 6UfQ f6U+Q Z6Vf Vf6gZ lf6UW l+WI< V",
+"f6lZ Vf6sZ Ue6m I<mk! I<mDk akmI< Ue7m 7Ue8m 7UeDm 7Uaem I<M6m I<!4Qk 6eVm ",
+"V6eam pU7e 7pU8e 7eVp 7Vesp Ik=m =Ik+m =DkIm =aIkm 7Ue=m 7>Uem 7Dm=Ik >Dm7U",
+"e QI=k =QI+k V=6QI =QaIk lIp= l=Ip> V=plI V>e7p I<mGk I<!4Wk <kJm J<kam UW7",
+"e 7UW8e 7JUW< 7UWae 4WkI<M UG4Q<k! ZJ4<k Z4aJ<k 7pUG< 7U8lWe l<Jp Jpls< v6f",
+"U =Iv+k =kJv J=kgv fv7U 7fUv> J=k7v J>=vk =Uf6Q =U+f6Q ZJ=k J=kgZ =Ilv fpU7",
+"> Jpl= l=yJ h?t h&?t ?Dht ht?c ?th1 ?th: ?t1hD ?t:hc h?M h&?M V?h Vh?c lh? ",
+"l?h: lhV? u?h t*h? h?t- ?tDh* ?cht- ?t1h* ?t:h- h?1t*D ?cth:- h*?M ?-hM V*h",
+"? h?V- h?l* h?l- V?lh* h?u- ?tG ?&tG ?Jt tJ?c ?1tG t:?G J1?t ?t:J ?GhM ?tGM",
+"& ?JV cJV? h?lG lh?:G ?Jl u?J tf? t-?f tf?J i?t f1?t ?t:f ?Jtf1 ?ti: hM?f ?",
+"fMt- V?f i?V ?flh lf?h: ?Jlf ui? ht4 h&t4 hDt4 tch4 7ht 7th: 7Dht ht7c ?Mh4",
+" h?M4& h4V? V?hc4 7hl l:7h 7Vh u7h t=h t-h= ht=D htc= 7ht= Aht t=7hD htAc h",
+"?=M h=Mt- h=V? c=Vh? l=h Alh V=7h Auh t4?G ?tG4& h4tJ tJ4?c ?G7t 7tGh: tJ7h",
+" ?J7t: ?tG4M ?G&h4M J4V? ?JVc4 lG7h 7hl:G 7V?J ?Ju7 tf= f-t= t=J it= tf7 At",
+"f 7Jtf Ait =Mtf tf=-M V?J= t=iV tfl= lfAh ?Jl= Aiu hN?t ?t&hN ?tDhN ?chtN ?",
+"t1hN ?t:hN ht1?DN ?cth:N ?thQ ?tQh& hQV? V?hcQ hQl? lh?:Q V?lhQ h?uQ ?t*hN ",
+"t-?hN h?Dt*N t-h?cN h?1t*N t-?h:N hDt*?1N hN?ct-: ?tQh* t-Qh? V?hQ* V?-hQ l",
+"h?Q* l-h?Q lhQV?* uh-?Q ?thW ?tGW& ?WtJ ?cWtJ ?tG1W h:W?t ?Jt1W ?J:tW ?WhM ",
+"?tGQ& tZ?J hZ?tc h?lW lhW?: lJ?Z hZu? ?Wtf t-W?f ?JtfW ?tiW tf?1W tf:?W tf1",
+"?JW i?t:W ?Qtf tfQ?- tf?Z ?ZiV lhW?f lhW?- V?flZ i?uZ ?thm ?tmh& ?tmhD ?cmh",
+"t hm7t h:m7t 7htDm 7hctm ?Mhm ?Mmh& hmV? V?mhc 7htp hpl?: 7Vhp hpu? hmt= t-",
+"mh= t=hDm t=chm t=7hm htAm 7hDt=m Atmhc ht=Q t=Qh- V?mh= c=Qht hpl= hpAl l=",
+"hVp upAh t4hW ?tGm& ?mtJ ?Jmtc hW7t 7hWt: ?J7tW ?J:tm ?tG4Q ?G&t4Q h4tZ V?m",
+"cJ lW7h lhW7: tp?J hZu7 tf?v hv?t- tv?J ?vit 7htv hvAt hv7tJ itAv =Qtf hv?-",
+"M t=hZ ?viV hvl= lvAh hZl= yAui O !O OB aO O. 8O .BO 8aO OK !KO TO TaO jO j",
+"O8 jOT sO (O +O (BO +aO (O. +8O (O.B 8a+O (OK +OK T(O +TO jO( +jO T(jO s+O ",
+"EO !EO HO HaO EO. 8EO HO. H8O EKO !OEK HTO TaHO jOE 8EjO HjO sHO dO +dO HdO",
+" gO dO. 8dO dOH. g8O dKO dK+O TdO gTO djO jO8d jOTd gsO O2 !O2 2BO aO2 5O 5",
+"8O 5BO 5aO 2KO !O2K TO2 T2aO jO5 58jO 5TO s5O ;O +;O ;OB a;O 5;O >O ;O5B >O",
+"a ;OK ;O+K T;O +OT; ;jO >jO jOT; s>O EO2 EO!2 HO2 aOH2 5EO 8E5O H5O HO5a EO",
+"2K !EO2K TOH2 HTaO2 5EjO jO58E jOH5 H5sO d;O d;+O H;O g;O 5dO >Od HO5d g>O ",
+";OdK +d;OK HOT; T;gO jO5d dj>O jOH; >Ogs P P! PB aP P. 8P P.B 8Pa QP Q!P TP",
+" QaP Pj Q8P TPj sP P( +P P(B +Pa P(. +P8 .BP( +8aP QP( +QP TP( +TP Pj( +Pj ",
+"T(Pj sP+ WP W!P HP HPa WP. W8P HP. H8P WQP WPQ! ZP ZaP WjP 8PWj ZPj sZP dP ",
+"+WP HPd gP dP. 8dP H.dP gP8 QdP Qd+P ZdP gZP dPj Wj+P dPZj gsP mP mP! mPB a",
+"mP 5P 5P8 5PB 5aP QmP mPQ! TmP amTP pP p8P pTP spP ;P +mP ;PB a;P 5P; >P 5B",
+";P >Pa Q;P Q;+P T;P Tm+P p;P >Pp T;pP >Ps WmP mPW! HmP amHP 5WP W85P H5P 5a",
+"HP QmWP Q!WmP ZmP amZP pWP W8pP ZpP ZpsP vP v+P vHP gvP v5P >Pv H5vP >Pg vQ",
+"P +QvP ZvP ZvgP pvP pv>P ZPpv yP #O &O #BO a&O #O. 8&O #O.B a&8O #OK &OK T#",
+"O T&O jO# &jO T#jO s&O #(O +&O #(OB a&+O (O#. 8&+O (BO#. +8a&O (O#K &O+K #(",
+"TO +OT& #(jO +&jO jOT#( +&sO #EO &EO H#O H&O EO#. &E8O #OH. 8&HO #OEK EK&O ",
+"T#HO HOT& #EjO &EjO H#jO H&sO d#O d&O d#HO g&O #Od. 8Od& Hd#O. 8&gO #OdK &O",
+"dK d#TO T&gO d#jO jOd& dj#HO gOs& #O2 &O2 #O2B &2aO 5#O 5&O #B5O a&5O #O2K ",
+"2K&O #OT2 &OT2 5#jO jO5& T#5O 5&sO ;#O ;&O #B;O aO;& ;#5O >&O 5;#OB a&>O #O",
+";K &O;K ;#TO TO;& ;#jO &j>O ;j#TO s&>O EO#2 EO&2 #OH2 &OH2 #E5O &E5O 5#HO H",
+"O5& #O2EK &EO2K HT#O2 H&TO2 jO5#E &jE5O H5T#O sH5&O ;#dO dO;& ;#HO ;&gO d#5",
+"O d&>O H5d#O g&>O dK;#O d&;OK H;T#O gT;&O dj#5O >&djO H;j#O gs>&O P# P& P#B",
+" aP& P#. 8P& .BP# 8aP& QP# Q&P TP# TP& Pj# P&j T#Pj sP& P#( +P& #BP( +aP& #",
+"(P. +8P& P#(.B aP&+8 P#Q( Q&+P P#T( T&+P j#P( P&+j Pj#T( +Ps& WP# W&P HP# H",
+"P& P#W. 8PW& P#H. 8PH& QPW# WQP& ZP# Z&P W#Pj P&Wj PjZ# Z&sP dP# dP& H#dP g",
+"P& P#d. d&8P dP#H. 8Pg& Q#dP dPQ& dPZ# Z&gP d#Pj P&dj dPjZ# g&sP mP# m&P P#",
+"mB m&aP 5P# 5P& P#5B aP5& mPQ# QmP& mPT# m&TP pP# p&P TPp# p&sP ;P# ;P& PB;",
+"# ;&aP 5#;P >P& ;P#5B aP>& Q#;P ;PQ& T#;P ;PT& ;Pp# p&>P pT;P# >&sP mPW# Wm",
+"P& mPH# m&HP WP5# W&5P H#5P 5PH& WQmP# m&PWQ mPZ# m&ZP WPp# W&pP pPZ# ZPp& ",
+"vP# v&P HPv# v&gP 5Pv# v&>P vH5P# >&gP QPv# Q&vP vPZ# ZPv& vPp# pPv& ZpvP# ",
+"y&P CO !CO DO DaO CO. 8CO DO. D8O CKO !OCK DTO TaDO jOC 8CjO DjO sDO C(O +C",
+"O D(O +DO (OC. 8C+O (OD. +OD8 (OCK CK+O T(DO DT+O C(jO +CjO D(jO +DsO CEO C",
+"E!O HDO DaHO EOC. CE8O DOH. HOD8 COEK !EOCK DTHO HDTaO CEjO jO8CE HDjO HDsO",
+" dCO dC+O DdO gDO COd. dC8O dOD. D8gO CKdO +dCOK DOTd DTgO dCjO djC+O jODd ",
+"gOsD CO2 CO!2 DO2 D2aO 5CO 8C5O 5DO 5OD8 CO2K !C2OK T2DO DTaO2 5CjO jO58C j",
+"O5D 5DsO ;CO ;C+O D;O +OD; ;C5O >CO 5OD; >DO CK;O +;COK DOT; a;ODT ;CjO jO>",
+"C jOD; sD>O EOC2 !EOC2 DOH2 HDaO2 CE5O 58CEO HO5D H5D8O EKCO2 EK2!CO HDTO2 ",
+"DTaHO2 jO5CE 58CjOE H5DjO sH5DO ;CdO +d;CO HOD; D;gO dC5O dC>O 5ODd gD>O dK",
+";CO dK;+CO H;DTO gDT;O djC5O >jdCO H;jDO >DOgs PC PC! DP DPa PC. 8PC DP. D8",
+"P QPC PCQ! QDP DPQa PjC QC8P DPj sPD PC( +PC DP( +DP C(P. +C8P P(D. D8+P PC",
+"Q( QP+C Q(DP QD+P jCP( +CPj D(Pj +DsP WPC PCW! HPD DPWa PCW. WC8P H.DP D8HP",
+" QPWC Q!WPC ZDP DPZa WCPj PjCW8 DPZj ZDsP dPC +CdP DdP gPD PCd. 8CdP D.dP D",
+"8gP QCdP dPC+Q DdZP ZDgP dCPj dPj+C dPDj gDsP mPC P!mC DmP amDP 5PC 5C8P 5D",
+"P D85P mPQC Q!mPC TmDP amPQD pPC 8PpC pDP pDsP ;PC +C;P D;P Dm+P 5C;P >PC D",
+";5P >PD QC;P ;PC+Q DPQ; a;PQD ;PpC pP>C D;pP pD>P mPWC W!mPC DmHP amPWD WP5",
+"C 5W8PC 5DHP H5PD8 WQmPC WmPQ!C DmZP ZDamP WPpC pW8PC ZPpD sPDZp vPC +PvC v",
+"DP vDgP 5PvC vP>C 5DvP vD>P QPvC v+QPC ZPvD ZvDgP vPpC >PpvC pPvD yDP bO b&",
+"O bDO cO bO. b8O DOb. c8O bKO &ObK bTO cTO bjO jOb8 jObT scO b(O b+O D(bO c",
+"+O (Ob. +8bO bD(O. +8cO (ObK +ObK T(bO +TcO b(jO jOb+ bTj(O c+sO bEO &EbO b",
+"HO cHO EOb. 8EbO HOb. H8cO EKbO bK&EO HTbO HTcO bEjO &jEbO jObH cHsO bdO bO",
+"d& bODd gcO dOb. bO8d bHdO. c8gO dKbO d&ObK bOTd cTgO jObd d&jbO bHjdO gOsc",
+" bO2 &Ob2 DOb2 c2O b5O bO5& bO5D c5O 2KbO bK&O2 TOb2 TOc2 jOb5 &jOb5 bO5T s",
+"Oc5 b;O bO;& bOD; c;O 5;bO >bO b5D;O c>O ;ObK ;&ObK bOT; T;cO jOb; bj>O b5T",
+";O >Osc EOb2 b&EO2 HOb2 HOc2 5EbO b58EO bOH5 H5cO bKEO2 &EObK2 bHTO2 c2HTO ",
+"b5jEO b5E&jO bH5jO c5HsO d;bO d&;bO bOH; gOc; bO5d bd>O bH5dO >Ogc bd;OK bd",
+"O;&K bH;TO c;TgO b5djO >bdjO bH;jO c>gsO bP bP& bPD cP bP. b8P b.DP cP8 bQP",
+" Q&bP bTP cQP bPj Q8bP DPbj scP bP( b+P b(DP cP+ P(b. +Pb8 bPD(. +Pc8 QPb( ",
+"+QbP b(TP +QcP b(Pj +Pbj bTPj( s+cP bWP W&bP bHP cWP WPb. W8bP b.HP H8cP WQ",
+"bP bWQP& ZbP ZcP WjbP P&jbW bPZj sPZc bdP +WbP HPbd gcP b.dP 8dbP bHPd. g8c",
+"P QdbP dP&bQ bdZP gPZc dPbj dP&bj ZbdPj scgP bmP m&bP DmbP cmP b5P 5Pb8 5Db",
+"P c5P QmbP m&PbQ TmbP TmcP pbP b8pP bTpP cpP b;P +mbP D;bP c;P 5Pb; >Pb b5P",
+"D; c>P Q;bP ;P&bQ T;bP Q;cP b;pP pb>P pbD;P >Pcp WmbP m&PbW HmbP HmcP 5WbP ",
+"b5W8P H5bP H5cP bWQmP bWQm&P bmZP ZmcP bWpP pbW8P ZPpb cPZp vbP b+vP bHvP c",
+"vP b5vP vb>P vbH5P >Pcv bQvP vb+QP ZPvb cPZv pPvb >Pbpv ZpbvP ycP 0O !0O 0B",
+"O a0O 1O 18O 1OB 1aO 0OK 0O!K T0O a0TO jO1 18jO 1TO s1O 0(O +0O 0(OB a0+O 1",
+"(O 1+O (B1O +a1O (O0K 0O+K 0(TO T0+O 1(jO jO1+ T(1O 1+sO E0O E0!O H0O a0HO ",
+"1EO 8E1O 1HO 1OH8 0OEK !EO0K T0HO HTa0O 1EjO jO18E jO1H 1HsO d0O d0+O d0HO ",
+"g0O 1dO 1O8d Hd1O g1O 0OdK +d0OK d0TO T0gO jO1d djO1+ 1OTd gOs1 0O2 0O!2 0O",
+"2B 0Oa2 15O 581O 5B1O 1O5a 0O2K 2K0!O 0OT2 Ta0O2 15jO jO158 1O5T 15sO ;0O ;",
+"0+O 0B;O ;0aO 1;O >O1 ;O1B 1a>O 0O;K +;0OK ;0TO a;0TO jO1; jO>1 1OT; s1>O 0",
+"OE2 !EO02 0OH2 Ha0O2 5E1O 158EO 1OH5 1H58O EK0O2 2K0!EO HT0O2 Ta0HO2 jO15E ",
+"158jOE 1H5jO s1H5O ;0dO +d;0O ;0HO ;0gO 1O5d 1d>O 1OH; >Og1 dK;0O dK;+0O H;",
+"T0O gT;0O djO1; >j1dO 1H;jO gs>1O P0 P0! P0B aP0 1P 1P8 1PB 1aP QP0 P0Q! TP",
+"0 Q0aP 1QP Q81P 1TP sP1 P0( +P0 0BP( +0aP 1P( 1+P P(1B +P1a P0Q( QP+0 P0T( ",
+"+0TP 1(Pj +Q1P 1(TP 1+sP WP0 P0W! HP0 H0aP 1WP W81P 1HP H81P QPW0 Q!WP0 ZP0",
+" aPZ0 Wj1P 1WQ8P Z1P Z1sP dP0 +0dP H0dP gP0 1dP +W1P HP1d g1P Q0dP dP0+Q dP",
+"Z0 ZPg0 Qd1P dPj1+ 1dZP sPg1 mP0 P!m0 P0mB mPa0 1mP 8m1P 1B5P 5a1P mPQ0 Q!m",
+"P0 mPT0 amPQ0 p1P 1Pp8 1TpP p1sP ;P0 +0;P PB;0 a0;P 1;P >P1 1B;P 1a>P Q0;P ",
+";P0+Q T0;P a;PQ0 1;pP p1>P T;1P s1>P mPW0 W!mP0 mPH0 amPH0 5W1P 1W58P H51P ",
+"1Hm8P WQmP0 WmPQ!0 mPZ0 ZamP0 1WpP p1W8P p1ZP sP1Zp vP0 +Pv0 HPv0 vPg0 v1P ",
+"v1>P 1HvP g1>P QPv0 v+QP0 vPZ0 ZvPg0 pPv1 >Ppv1 ZPv1 y1P 9O 9&O 9OB 9aO 91O",
+" :O 1B9O :aO 9OK &O9K 9TO 9OT& 9jO :jO jO9T s:O 9(O 9+O (B9O +a9O 1(9O :+O ",
+"91(OB +a:O (O9K +O9K T(9O 9O+T 9(jO +j:O 9T1(O :+sO 9EO &E9O 9HO 9OH& 1E9O ",
+":EO 9O1H :HO EK9O 9&EOK HT9O 9HTaO 9EjO jO:E jO9H sO:H 9dO 9Od& Hd9O g9O 9O",
+"1d :dO 9H1dO g:O dK9O d&O9K 9OTd 9TgO jO9d dj:O 9HjdO gOs: 9O2 &O92 2B9O aO",
+"92 95O :5O 5B9O 5a:O 2K9O 9&O2K TO92 9TaO2 jO95 jO:5 9O5T :5sO 9;O 9O;& ;O9",
+"B 9Oa; 9O1; :>O 95;OB :a>O ;O9K ;&O9K 9OT; 9+T;O jO9; :j>O 95T;O >Os: EO92 ",
+"9&EO2 HO92 9HaO2 5E9O 5E:O 9OH5 H5:O 9EO2K &EO92K 9HTO2 H&O9T2 95jEO :5jEO ",
+"9H5jO :H5sO d;9O d&;9O 9OH; 9;gO 9O5d >O:d 9H5dO >Og: 9d;OK 9dO;&K 9H;TO g9",
+"T;O 95djO :>djO 9H;jO g:s>O 9P 9P& 9PB 9aP 9P1 :P 1B9P :Pa 9QP Q&9P 9TP Qa9",
+"P 9Pj :QP 1T9P s:P 9P( 9+P P(9B +P9a 9(1P :P+ 9P1(B +P:a QP9( +Q9P 9(TP +T9",
+"P 9(Pj +Q:P 9TP1( s+:P 9WP W&9P 9HP HP9a 1W9P :WP 1H9P :HP WQ9P 9WQP& Z9P 9",
+"aZP Wj9P Wj:P 9PZ1 Z:P 9dP +W9P HP9d g9P 1d9P :dP 9HP1d g:P Qd9P dP&9Q 9dZP",
+" Z9gP dP9j Qd:P Z91dP gPZ: 9mP m&9P mP9B am9P 95P :mP 9B5P 5a:P Qm9P m&P9Q ",
+"Tm9P 9QamP p9P :pP 9TpP sP:p 9;P +m9P 9B;P a;9P 1;9P >P: 95P;B :a>P Q;9P ;P",
+"&9Q T;9P a;P9Q 9;pP >P:p p9T;P s:>P Wm9P m&P9W Hm9P 9HmaP 5W9P 5W:P H59P H5",
+":P 9WQmP 9WQm&P 9mZP Z9amP 9WpP pW:P ZPp9 :PZp v9P 9+vP 9HvP v9gP 95vP :vP ",
+"v91HP >Pg: 9QvP v9+QP ZPv9 Zv9gP pPv9 pv:P Zp9vP y:P C0O C0!O D0O a0DO 1CO ",
+"8C1O 1DO 1OD8 0OCK C0O!K T0DO DTa0O 1CjO jO18C jO1D 1DsO 0(CO C0+O 0(DO D0+",
+"O C(1O +C1O D(1O 1O+D C0O(K +C0OK DT0(O +DT0O jO1C( 1+jCO 1DT(O s1+DO E0CO ",
+"C0O!E D0HO HDa0O CE1O 18CEO HD1O 1HD8O C0OEK EK0!CO HDT0O DTaH0O jO1CE 18Cj",
+"OE 1HDjO s1HDO C0dO +dC0O d0DO D0gO dC1O 1+dCO 1ODd 1DgO dKC0O dKC+0O DdT0O",
+" gDT0O djC1O 1+CdjO 1DdjO gs1DO 0OC2 C02!O 0OD2 Da0O2 5C1O 158CO 1O5D 1D58O",
+" C02OK 2K0!CO DT0O2 Ta0DO2 jO15C 158jOC 1D5jO s15DO C0;O +;C0O ;0DO a;0DO ;",
+"C1O 1C>O 1OD; 1D>O ;C0OK ;C0+OK D;T0O D;0+TO ;jC1O >j1CO 1D;jO >DOs1 C02EO ",
+"!EOC02 HD0O2 Da0HO2 15CEO 58C1EO 1H5DO H5D1aO EK2C0O E02K!CO DT0HO2 DTH0aO2",
+" 15CjOE 5E1O8jC H5D1TO 1H5sDO d;C0O d;C+0O H;D0O gD;0O 1d5CO >C1dO 1H;DO >D",
+"Og1 ;C0dKO C0;O+dK Td0D;O D;Tg0O 1dC;jO djC>O1 djO1D; gs1>DO PC0 !CP0 DP0 D",
+"0aP 1PC 1C8P 1DP D81P PCQ0 Q!PC0 Q0DP aP0QD 1CPj PjC18 QD1P 1DsP C0P( PC+0 ",
+"P0D( +0DP PC1( 1C+P 1(DP +D1P QPC0( +QPC0 QDP0( +QDP0 PjC1( 1+QPC 1QDP( sP1",
+"+D PCW0 W!PC0 H0DP aP0WD WP1C 1W8PC HP1D 1HPD8 WQPC0 WPCQ!0 DPZ0 ZDaP0 PjC1",
+"W 1W8PjC 1DZP sP1ZD PCd0 dPC+0 D0dP DPg0 1CdP 1+WPC Dd1P 1DgP dPCQ0 +QCdP0 ",
+"ZDdP0 gZDP0 dPj1C dPC1+Q Z1DdP gZ1DP PCm0 mPC!0 mPD0 amPD0 1C5P 1m8PC 5D1P ",
+"1Dm8P QmPC0 mPCQ!0 QDmP0 QDmaP0 1PpC p18PC 1DpP sP1pD PC;0 ;PC+0 D0;P a;PD0",
+" 1C;P 1P>C D;1P 1D>P ;PCQ0 +QC;P0 QD;P0 aP0QD; p1;PC >Pp1C pD1;P >Ps1D WmPC",
+"0 mPCW!0 HmDP0 HmDaP0 1W5PC 5W81PC 1HmDP H8m1DP QmPWC0 QCW0mP! ZDmP0 amPZD0",
+" p1WPC 1W8pPC Zp1DP Zp1sPD PCv0 v+PC0 DPv0 gvDP0 1PvC >Pv1C 1DvP >Pg1D vQPC",
+"0 +QPvC0 ZvDP0 vDPgZ0 pv1PC pv1>PC Zv1DP 1DyP b9O 9&bO 9DO c9O b1O :bO bO1D",
+" :cO 9ObK b9&OK bO9T 9TcO jOb1 bj:O jO9D sO:c 9(bO bO9+ D(9O 9+cO 1(bO b+:O",
+" b1D(O c+:O b9(OK b+9OK bT9(O c9+TO b1j(O :b+jO b1T(O :c+sO 9EbO b9&EO bO9H",
+" 9HcO 1EbO bE:O bO1H cH:O b9EOK 9&EbKO bH9TO c9HTO b1jEO :bjEO b1HjO :cHsO ",
+"bO9d d&Ob9 9ODd c9gO bO1d bd:O b1HdO gO:c bd9OK 9+ObdK bTd9O gc9TO b1djO :d",
+"bjO b1TdO g:scO 9Ob2 b9&O2 DO92 9Oc2 bO95 b5:O 9O5D :Oc5 b9O2K 9&ObK2 bT9O2",
+" c29TO b15jO :b5jO b1T5O :c5sO bO9; ;&Ob9 9OD; 9;cO bO1; :b>O b1;DO >O:c b;",
+"9OK 9+Ob;K bT;9O c;9TO b1;jO :>bjO b1T;O c>s:O b9EO2 9&EbO2 bH9O2 c29HO b15",
+"EO :b5EO b1H5O :cH5O 9EObK2 EOb29&K 9HObT2 9HTc2O 95EbjO b5j:EO bHO95T s:Hc",
+"5O bd9;O bd9;&O bH;9O c;9gO b1d5O :>bdO b1H;O g:c>O 9dOb;K d&b;9OK bHO9T; g",
+"9Tc;O djOb1; >bj:dO djO95D c>sg:O bP9 b9P& 9DP cP9 b1P :Pb 1DbP :cP 9QbP bQ",
+"9P& 9TbP 9QcP 9Pbj bQ:P 1TbP :csP b(9P 9+bP 9(DP 9+cP b(1P b+:P b1PD( :+cP ",
+"bQ9P( b+Q9P bTP9( cQ9+P b1QP( :Qb+P b1TP( :cQ+P 9WbP bW9P& 9HbP 9HcP 1WbP b",
+"W:P 1HbP cW:P bW9QP 9WQbP& bPZ9 cPZ9 b1WPj :WbPj b1ZP :PZc 9dbP dP&b9 Dd9P ",
+"cPg9 1dbP bd:P b1HdP :cgP bQd9P 9+QbdP Zb9dP Zcg9P dPjb1 :QdbP Zb1dP g:PZc ",
+"9mbP m&Pb9 Dm9P 9mcP 95bP b5:P 5D9P c5:P bQ9mP bQ9m&P bTm9P cQ9mP b1pP pb:P",
+" 9DpP :Pcp 9;bP ;P&b9 D;9P 9;cP 1;bP >b:P b1;DP :c>P bQ;9P 9+Qb;P bT;9P cQ;",
+"9P pb9;P :p>bP p9D;P cp:>P bW9mP bW9m&P bHm9P cW9mP b1W5P :Wb5P b1H5P :cW5P",
+" 9WQbmP QmP&bW9 Zb9mP Zc9mP pb9WP :pbWP Zpb9P cpZ:P bPv9 vb9+P 9DvP v9cP b1",
+"vP vb:P vb1HP :Pcv vb9QP b+Qv9P Zvb9P cvZ9P pvb9P :vbpP Zvb1P :cyP R R! RB ",
+"Ra R. R8 R.B R8a RM RM! RT RTa Rj R8M RTj sR R( R+ R(B R+a R(. R+8 .BR( +8R",
+"a RM( R+M RT( R+T Rj( R+j TjR( sR+ RE RE! RH RHa RE. R8E RH. RH8 RME MER! R",
+"HT HMRa RjE RE8M RHj sRH Rd R+d RHd gR Rd. R8d HdR. gR8 RdM +MRd RTd gRT Rd",
+"j +jRd HjRd gsR R2 R2! R2B Ra2 R5 R58 R5B R5a RM2 M2R! RT2 R2aM R5M 5MR8 R5",
+"T sR5 R; R+; R;B Ra; R5; >R 5;RB >Ra R;M +MR; RT; +TR; R;j >MR 5TR; s>R RE2",
+" !ER2 RH2 HaR2 R5E 58RE RH5 H5R8 MER2 RME!2 R2HM aM2RH RE5M R58ME H5RT RHs5",
+" Rd; +dR; RH; gR; R5d >Rd H5Rd g>R dMR; dM;R+ HMR; RTg; 5dRj Rd>M H;Rj gR>M",
+" RP RP! RPB RaP RP. R8P P.RB 8PRa S S! ST Sa Sj S8 STj Ss RP( R+P P(RB +PRa",
+" P(R. +PR8 RP(.B R+8aP S( S+ ST( S+T Sj( S+8 TjS( Ss+ RW RW! RHW RWa RW. RW",
+"8 R.HP H8RW SW S!W SZ SZa SWj S8W SZj SsZ RWd R+W HPRd gRW R.dP +WR8 dP.RH ",
+"RWg8 Sd S+W SZd gS Sdj S8d ZdSj gSs Rm Rm! RmB Ram R5m R8m RB5P 5aRm Sm S!m",
+" STm Sam Sp Sp8 SpT Ssp Rm; R+m RB;P +mRa 5PR; >PR ;PBR5 Ra>P S; S+m S;T Sa",
+"; Sp; S> pTS; S>s RWm W!Rm RHm HmRa R5W 5WR8 H5RW H8Rm SWm W!Sm SZm ZaSm Sp",
+"W pWS8 SZp SZsp vR vR+ vRH gvR vR5 v>R RHv5 gR>P Sv Sv+ SvZ gSv Svp S>v ZpS",
+"v yS R# R& R#B Ra& R#. R8& .BR# 8aR& RM# R&M RT# RT& Rj# R&j TjR# sR& R#( R",
+"+& #BR( +aR& #(R. +8R& R#(.B R+8a& M#R( +MR& T#R( +TR& j#R( +jR& RTj#( R+s&",
+" R#E R&E RH# RH& #ER. 8&RE H#R. H8R& M#RE REM& R#HM HMR& j#RE RE&j R#Hj RHs",
+"& Rd# Rd& HdR# gR& d#R. 8dR& RHd#. R8g& R#dM dMR& R#Td RTg& R#dj d&Rj RHjd#",
+" g&sR R#2 R&2 2BR# a&R2 R5# R5& 5BR# 5aR& M#R2 R2M& T#R2 R2T& R#5M 5MR& R#5",
+"T R5s& R;# R;& ;#RB a;R& 5;R# >R& R5;#B Ra>& R#M; M;R& R#T; T;R& R#;j R&>M ",
+"R5T;# >&sR #ER2 &ER2 H#R2 R2H& 5#RE RE5& R#H5 H5R& RM#E2 M&ER2 RHT#2 RH&T2 ",
+"R5M#E R5&ME RH5T# sRH5& d;R# d&R; R#H; R;g& R#5d Rd>& RH5d# >&gR dM;R# dM&R",
+"; RH;T# gRT;& R5dM# >MRd& RH;j# >MgR& RP# R&P P#RB aPR& P#R. 8PR& RP#.B aP&",
+"R8 S# S& ST# Sa& Sj# S8& TjS# Ss& P#R( +PR& RP#(B aP&R+ RP#(. R+8P& P#(R.B ",
+"R+8aP& S#( S+& T#S( +TS& j#S( +jS& STj#( s+S& RW# RW& R#HP HPR& W#R. W8R& R",
+"HW#. RH8W& SW# S&W SZ# SZ& WjS# W8S& ZjS# S&sZ R#dP +WR& dP#RH RWg& dP#R. d",
+"P&R8 RH#dP. gRW8& Sd# Sd& ZdS# gS& djS# 8dS& SZdj# S&gs Rm# Rm& m#RB amR& R",
+"#5P 5PR& R5m#B R5am& Sm# S&m TmS# TmS& Sp# Sp& pTS# S&sp R#;P +mR& ;P#RB a;",
+"PR& ;P#R5 Rm>& R5#;PB >PRa& S;# S;& T;S# T;S& p;S# S>& SpT;# S&s> WmR# W&Rm",
+" R#Hm HmR& R#5W 5WR& RH5W# RH5W& WmS# W&Sm ZmS# SmZ& pWS# SWp& S#Zp ZpS& vR",
+"# vR& RHv# v&gR R5v# >Rv& vRH5# >PgR& Sv# Sv& S#Zv S&gv S#pv pvS& SZpv# yS&",
+" RU RU! RD RDa RU. R8U RD. RD8 RUM U!RM VR VRa RjU U8Rj VRj sRV RU( R+U RD(",
+" R+D U(R. U+R8 D(R. +DR8 UMR( RU+M VR( V+R R(Uj U+Rj RjV( V+sR RUE U!RE RHU",
+" UHRa UER. REU8 R.UH UHR8 UMRE RUM!E VRH RHVa REUj R8UME RHVj VRsH RdU U+Rd",
+" RDd gRU R.Ud U8Rd R.Dd RDg8 RUdM R+UdM VdR gVR UdRj R+jUd RdVj sRgV RU2 U!",
+"R2 RD2 R2Ua R5U U5R8 R5D U5Ra UMR2 RUM!2 V2R RaV2 U5Rj R5U8M V5R V5sR R;U U",
+"+R; RD; UaR; U5R; >RU 5DR; >RD RUM; R+UM; V;R R+V; U;Rj Rj>U R5V; V>R UER2 ",
+"RUE!2 R2UH RHUa2 REU5 R5U8E UHR5 RH5U8 RUME2 U!MRE2 RHV2 V2RHa R5UME U58RjE",
+" RHV5 VsHR5 UdR; R+Ud; UHR; RDg; U5Rd Rd>U 5DRd >RgU dM;RU R+UdM; RHV; V;gR",
+" R5dUj >MRUd R5Vd gRV> UP UP! RDP UaP UP. U8P R.DP D8UP SU S!U SV SVa SUj S",
+"8U SVj SsV UP( U+P R(DP +DUP P(U. +PU8 RDP(. R+D8P SU( S+U SV( SV+ UjS( U+S",
+"8 VjS( VsS+ RWU R!UW RWD UWRa R.UW UWR8 R.WD H8UP SUW UWS! SZV VZSa UWSj UW",
+"S8 SjVZ SVsZ UdP U+RW HPUd gUP U.dP 8dUP RWDd. U8gP SdU U+Sd SVd gSV UdSj U",
+"8Sd SjVd SsgV RmU R!Um RDm UaRm U5P U8Rm 5DRm 5aUP SUm UmS! SVm VmSa SpU pU",
+"S8 VpS VpSs U;P U+Rm DmR; +DRm 5PU; >PU R5D;P RD>P S;U U+S; SV; V+S; pUS; S",
+">U S;Vp S>V UWRm RWUm! UHRm RHmUa U5RW R5WU8 H5UP RH8Um UWSm S!UWm VmSZ SZV",
+"am SWpU SpUW8 SZVp SZpVs vRU R+vU vRD vRgU R5vU vU>P R5vD gU>P SvU vUS+ VvS",
+" VvgS pUSv vUS> VpSv yVS Rb Rb& RbD cR Rb. Rb8 bDR. cR8 RbM bMR& VRb cRV Rb",
+"j b8Rj RbVj scR Rb( Rb+ bDR( cR+ b(R. b+R8 RbD(. R+c8 R(bM bMR+ RbV( V+cR R",
+"(bj b+Rj VRbj( s+cR RbE REU& RbH cRH bER. REb8 R.bH RHc8 REbM M&ERb RbVH VR",
+"cH REbj Rb8ME bHRj sHcR Rbd b+Rd bHRd gcR R.bd b8Rd RbHd. g8cR bMRd dM&Rb R",
+"bVd cRgV bdRj d&jRb VdRbj scgR Rb2 R2U& bDR2 cR2 Rb5 b5R8 b5RD cR5 R2bM M&2",
+"Rb RbV2 V2cR b5Rj Rb58M RbV5 c5sR Rb; b+R; b;RD cR; b5R; >Rb Rb5D; c>R bMR;",
+" M;&Rb RbV; V;cR b;Rj Rb>M V5Rb; sRc> bER2 Rb&E2 R2bH RHc2 REb5 Rb58E bHR5 ",
+"RHc5 RbME2 RbEM&2 V2RbH cRVH2 Rb5ME M&ERb5 V5RbH cR5sH bdR; Rb+d; bHR; c;gR",
+" b5Rd Rb>d RbH5d gRc> RbdM; RbdM;& VdRb; gVcR; Rb5dM >MbRd V5dRb V>gcR RbP ",
+"UP& bPRD cRP R.bP bPR8 RbDP. R8cP Sb Sb& SVb Sc Sbj Sb8 VbSj Scs R(bP bPR+ ",
+"RbDP( R+cP RbP(. Rb+8P bP(RD. cR+8P Sb( Sb+ VbS( Sc+ bjS( b+S8 SVbj( S+sc R",
+"bW bWR& bHRW cRW R.bW bWR8 RbHW. RWc8 SbW bWS& SZb ScZ bWSj bWS8 SjZb ZcSs ",
+"bWRd b+RW RbHdP cRgP RbWd. dP&U8 dP.RbH cRWg8 Sbd b+Sd ZbSd gSc bdSj b8Sd S",
+"Zbdj gsSc Rbm bmR& bmRD cRm b5Rm b8Rm Rb5Dm R5cm Sbm bmS& VmSb Scm Spb pbS8",
+" SbVp Scp bmR; b+Rm RbmD; R+cm Rb5;P Rb>P b5PRD; cR>P Sb; b+S; V;Sb Sc; pbS",
+"; S>b SpbV; Sc> bWRm RbWm& bHRm RHcm b5RW Rb5W8 RbH5W R5cW bWSm SbWm& SmZb ",
+"cmSZ SWpb SpbW8 ZpSb SZcp vRb Rbv& RbvD cvR Rbv5 >Rvb vRbH5 v>cR Svb vbS+ S",
+"bVv Scv pvSb v>Sb VvpSb ycS Rk Rk! RkB Rak R1 R18 R1B R1a RkM kMR! RTk TkRa",
+" lR lR8 lRT lsR Rk( R+k k(RB +kRa R1( R1+ 1(RB 1+Ra kMR( Rk+M R(Tk +kRT lR(",
+" l+R RTl( sRl+ RkE kER! RHk HkRa R1E RE8k R1H 1HR8 kMRE RkM!E HkRT RHTak lR",
+"E R8lE lHR sRlH Rdk +kRd HkRd gRk R1d 1+Rd 1HRd gR1 RkdM dkMR+ TkRd RTgk ld",
+"R R+ld RHld glR Rk2 k2R! k2RB R2ak R15 5kR8 RB5k 1aR5 kMR2 RkM!2 R2Tk ak2RT",
+" lR5 R5l8 R5lT l5sR R;k +kR; RBk; akR; R1; >kR RB1; R1>a RkM; k;MR+ TkR; ak",
+";RT l;R l>R RTl; sRl> kER2 RkE!2 R2Hk ak2RH RE5k R158E 1HR5 R1H5a RkME2 kME",
+"R2! RHTk2 RHTak2 R5lE lR58E RHl5 lsRH5 dkR; dk;R+ HkR; R;gk 1dR5 R1>d 1HR; ",
+"gR>k dkMR; R+dk;M RH;Tk gRTk; R5ld >Rld RHl; gRl> kP kP! kPB akP R1P 8kP RB",
+"1P 1PRa Sk S!k STk Sak Sl Sl8 SlT Ssl kP( +kP P(kB ak+P R(1P 1PR+ kP(1B akP",
+"1+ Sk( S+k TkS( +TSk Sl( l+S STl( l+Ss RWk R!Wk HkP WkRa R1W 1WR8 1HRW 1WRa",
+" SWk WkS! SZk ZkSa lWS S8lW lZS lZSs dkP +kRW dkHP gkP 1WRd 1+RW dkP1H R1gP",
+" Sdk +WSk ZkSd gSk ldS S+lW SZld glS Rmk R!km RBkm akRm R1m 1mR8 RB1m 1aRm ",
+"Skm kmS! TkSm akSm Slp lpS8 lTSp Slsp k;P +kRm kB;P k;aP 1mR; >kP k;P1B ak>",
+"P S;k +kS; TkS; akS; l;S S>l lTS; Ssl> WkRm km!RW HkRm akmRH 1WR5 R1W8m 1HR",
+"m akPH5 WkSm S!Wkm SmZk SZakm SplW SlpW8 SplZ SZpls vRk R+vk RHvk vRgk vR1 ",
+"vR>k R1vH gk>P Svk vkS+ ZkSv gkSv lvS S>lv lZSv ylS R9 R9& R9B R9a R91 :R 9",
+"1RB :Ra R9M 9MR& R9T 9TRa lR9 l:R R9lT s:R R9( R9+ 9(RB 9+Ra 91R( :R+ R91(B",
+" R+:a R(9M 9MR+ R(9T 9+RT R9l( :Rl+ lR9T( s+:R R9E REk& R9H 9HRa 91RE :RE 9",
+"HR1 :RH RE9M k&ERM 9HRT R9HT& R9lE lE:R R9lH :RlH R9d 9+Rd 9HRd gR9 9dR1 :R",
+"d R9H1d g:R 9MRd dk&RM 9TRd R9gM R9ld :Rld lHR9d gRl: R92 R2k& 92RB R29a R9",
+"5 :R5 RB95 R5:a R29M k&2RM R29T R9T&2 R9l5 l5:R 95RT s5:R R9; 9+R; RB9; 9aR",
+"; 95R; :>R R95;B :a>R 9MR; k;&RM 9TR; aM;R9 R9l; :Rl> l;R9T :>sR 9ER2 k&ER2",
+" R29H R9H&2 RE95 R5:E 9HR5 RH:5 R9ME2 R9EM&2 R9HT2 aM2R9H lR95E :R5lE lHR95",
+" :RHl5 9dR; dk&R; 9HR; R9g; 95Rd >R:d R9H1; :>gR R9dM; R9dM;& R9HT; gR9T; l",
+"dR95 l>:Rd lH;R9 g:Rl> R9P kP& RB9P 9PRa 9PR1 :RP kPB91 Ra:P S9 S9& S9T S9a",
+" Sl9 S: lTS9 S:s R(9P 9PR+ kP(9B akP9+ kP(91 R+:P 9P(R1B :R+aP S9( S9+ 9TS(",
+" 9+Sa l(S9 S:+ Sl9T( S+s: R9W 9WR& 9HRW 9WRa 9WR1 :RW R9H1W RH:W S9W 9WS& S",
+"Z9 Z9Sa S9lW S:W S9lZ S:Z 9WRd 9+RW dkP9H R9gP dkP91 R+:W 9HPR1d :RgP S9d 9",
+"+Sd Z9Sd gS9 S9ld S:d SZ9ld gS: R9m 9mR& RB9m 9aRm 95Rm :Rm R95mB Ra:m S9m ",
+"9mS& 9TSm 9aSm Sp9 S:p STp9 :pSs 9mR; 9+Rm k;P9B ak;9P k;P95 :R>P k;B95P :>",
+"Ram S9; 9+S; 9TS; 9aS; S9l; S:> Sp9T; s:S> 9WRm km&RW 9HRm km&RH 95RW R5:W ",
+"R9H1m RH:m 9WSm S9Wm& SmZ9 SZ9am SWp9 :WSp ZpS9 SZ:p vR9 R9v& R9vH vRg9 R9v",
+"1 :vR vR91H gR:v Sv9 v9S+ ZvS9 g9Sv S9lv S:v Sv9lZ y:S RUk U!Rk RDk DkRa R1",
+"U 1UR8 R1D 1URa UkRM RUkM! VRk RaVk lRU R8lU VlR VlsR UkR( RU+k R(Dk +kRD R",
+"(1U 1UR+ R(1D 1+RD RUkM( R+UkM RkV( R+Vk RUl( R+lU VRl( lRV+ UkRE RUk!E HkR",
+"D RHUak RE1U R1U8E 1URH R1HU8 RUkME U!kRME RHVk VRHak RUlE lRU8E VRlH lsVRH",
+" RUdk R+Udk DkRd RDgk 1URd R1+Ud 1DRd R1gU dkMRU R+UdkM RdVk VRgk RdlU l+RU",
+"d lRVd VlgR UkR2 RUk!2 R2Dk ak2RD 1UR5 R1U58 1DR5 R1D5a RUkM2 U!kRM2 RkV2 V",
+"2Rak R5lU lRU58 lRV5 lsVR5 RUk; R+Uk; DkR; ak;RD 1UR; R1>U 1DR; R1>D k;MRU ",
+"R+Uk;M R;Vk V+Rk; R;lU lR>U lRV; >RVl RUkE2 U!kRE2 RHUk2 RHUak2 R1U5E 1U5R8",
+"E R1HU5 1UHR5a UkMRE2 !ER2UkM V2RHk ak2VRH lRU5E R5Ul8E VlRH5 Vs5lHR dk;RU ",
+"R+Udk; RH;Dk gRUk; R1dU5 >kRUd R1HU; >kgRD RdUk;M dkR;U+M VdRk; gVRk; ldRU5",
+" l>RUd lH;VR V>lgR UPk U!kP DkP akUP 1UP U81P 1PRD Ua1P SUk U!Sk SVk VaSk S",
+"lU lUS8 SlV SVls U(kP +kUP D(kP Dk+P 1(UP U+1P R1DP( R1+DP UkS( U+Sk VkS( S",
+"kV+ SUl( lUS+ l(SV SVl+ WkUP kP!UW HkUP akPUH 1URW R1WU8 1WRD R1WUa UWSk S!",
+"UWk ZkSV SZVak SUlW SlUW8 SVlZ SlVsZ dkUP dkPU+ dkDP UPgk Ud1P dkPU8 dkP1D ",
+"1UgP UdSk S+UWk SkVd SVgk lUSd S8dlU SVld SlgV kmUP km!UP DkRm akmRD 1URm R",
+"1mU8 1DRm akPU5 UmSk S!Ukm SkVm SVakm pUSl SlpU8 SlVp SlVsp k;UP k;PU+ k;DP",
+" ak;UP U;1P 1U>P k;P1D Dk>P U;Sk S+Ukm SkV; SV+km lUS; >USl SVl; SlV> RWUkm",
+" RWUkm! RHmDk RWDakm R1WU5 1UWR8m R1HUm 1UHR8m SUWkm km!SUW SZVkm ZkVSam Sl",
+"pUW lWpS8U SlVZp VplSsZ UPvk vRU+k RDvk gvRDk R1vU >kvUP R1vD >kgUP SUvk Sv",
+"U+k vkSV VvgSk vUSl lv>SU SlVv SlyV tR tR& tRD tcR tR1 t:R R1tD :cR tRM R&t",
+"M VtR VtcR ltR :Rlt lRVt uR tR( t+R RDt( cRt+ R1t( :Rt+ tR1D( :+cR RMt( R+t",
+"M VRt( tRV+ tRl( lRt+ ltVR( uR+ tRE R&tE tHR cRtH R1tE tE:R R1tH :RtH RMtE ",
+"tRM&E VRtH tcVRH tRlE t:RlE lRtH uRH tdR R+td RHtd gtR R1td :Rtd tHR1d t:gR",
+" RdtM t+RdM tRVd VtgR lRtd t:dlR tdVlR ugR tR2 R&t2 RDt2 c2tR t5R :Rt5 R5tD",
+" cRt5 RMt2 tRM&2 tRV2 tcVR2 lRt5 t:Rl5 tRV5 uR5 t;R R+t; RDt; cRt; R1t; t>R",
+" t5RD; :Rc> R;tM t+RM; tRV; tc;VR lRt; >Rlt t5VR; u>R REt2 tR&E2 RHt2 tcRH2",
+" R5tE t:R5E RHt5 t:HR5 tRME2 M&EtR2 tHVR2 cRVtH2 t5RlE lt5:RE tH5lR RHu5 Rd",
+"t; t+Rd; RHt; t;gR R5td >Rtd tH5Rd gRt> tdRM; dM&t;R tH;VR gtVR; t5dlR t>lR",
+"d tH;lR g>uR tP tP& tPD tcP tP1 t:P 1DtP :ctP St St& StV Sct Stl S:t SVlt u",
+"S tP( t+P DPt( cPt+ 1Pt( :Pt+ tP1D( t:Pc+ St( St+ S(Vt tcS+ l(St l+St SlVt(",
+" uS+ tWR RWt& tHP cRtW R1tW :RtW 1HtP :HtP StW tWS& tZS tZSc lWSt tWS: lZSt",
+" uZS tdP R+tW HPtd gtP 1dtP :dtP tHP1d t:gP Std t+Sd SdtZ gtS ldSt t:Sd Std",
+"lZ ugS tmR Rmt& RDtm cRtm t5P :Rtm 5DtP cR:m Stm tmS& tmSV tmSc tpS tpS: Vp",
+"St upS t;P R+tm D;tP c;tP 1;tP t>P t5PD; tc>P St; t+S; t;SV S;tc l;St S>t S",
+"t;Vp u>S RWtm tWRm& RHtm tcWRm R5tW t:WR5 H5tP t:HRm SWtm StWm& tmSZ ScZtm ",
+"tWSp S:ptW SZtp SZup tvR vRt+ vRtH gRtv vRt5 >Ptv tvR1H >Pgt tvS S+tv StVv ",
+"tvgS Stlv tvS: lvVSt yuS )O !)O )BO a)O )O. 8)O )O.B a)8O )OK )O!K T)O a)TO",
+" jO) 8)jO T)jO s)O *O +*O *BO a*O *O. 8*O .B*O 8Oa* *OK *O+K T*O +OT* *jO j",
+"O8* jOT* s*O E)O E)!O H)O a)HO )OE. E)8O )OH. 8)HO )OEK !E)OK T)HO HTa)O E)",
+"jO jO8E) H)jO H)sO d*O d*+O H*O g*O *Od. d*8O *OH. 8*gO *OdK +d*OK HOT* T*g",
+"O d*jO dj*+O jOH* gOs* )O2 )O!2 )O2B )Oa2 5)O 8)5O )B5O a)5O )O2K !)2OK )OT",
+"2 Ta)O2 5)jO jO58) T)5O 5)sO ;*O ;*+O ;O*B ;*aO 5*O >*O 5O*B a*>O *O;K +;*O",
+"K ;*TO a;*TO jO5* *j>O 5OT* >Os* )OE2 !)2EO )OH2 Ha)O2 E)5O 58E)O 5)HO H58)",
+"O EK)O2 !)OEK2 HT)O2 Ta)HO2 jO5E) 58EjO) H5T)O sH5)O ;*dO +d;*O ;*HO ;*gO d",
+"*5O d*>O HO5* g*>O dK;*O dK;+*O H;T*O gT;*O dj*5O >*djO H5*jO s*Og> P) P)! ",
+"P)B aP) P). 8P) .BP) 8)aP QP) P)Q! TP) Q)aP Pj) Q)8P T)Pj sP) P* +P* P*B aP",
+"* P*. 8P* P.*B aP8* Q*P Q*+P TP* T*+P P*j 8PQ* PjT* sP* WP) P)W! HP) H)aP P",
+")W. W)8P P)H. H)8P QPW) Q!WP) ZP) aPZ) W)Pj Pj)W8 PjZ) ZPs) W*P W*+P HP* gP",
+"* W.P* 8PW* H.P* 8Pg* dPQ* +WQP* Z*P Z*gP P*Wj dPj8* P*Zj s*gP mP) P!m) P)m",
+"B mPa) 5P) 5)8P P)5B 5)aP mPQ) Q!mP) mPT) amPQ) pP) 8Pp) TPp) pPs) m*P m*+P",
+" *B;P m*aP 5P* >P* *B5P aP>* ;PQ* m*P+Q m*TP am*TP p*P p*>P TPp* s*>P mPW) ",
+"W!mP) mPH) amPH) WP5) 5W8P) H)5P H5P8) WQmP) WmPQ!) mPZ) ZamP) WPp) pW8P) p",
+"PZ) sP)Zp vP* +Pv* HPv* vPg* 5Pv* vP>* 5PH* >*gP Q*vP v+QP* vPZ* ZvPg* vPp*",
+" >Ppv* ZPp* y*P ,O ,&O ,OB ,aO ,O. ,8O .B,O 8a,O ,OK &O,K ,TO ,OT& ,jO ,O&j",
+" jO,T s,O ,*O -O ,O*B -aO *O,. -8O *B,O. 8a-O *O,K -OK ,OT* -TO ,O*j -jO *j",
+"O,T s-O ,EO &E,O ,HO ,OH& EO,. 8E,O HO,. ,OH8 EK,O ,&EOK HT,O ,HTaO jO,E &j",
+"E,O ,OHj ,HsO ,dO -dO ,OH* g-O dO,. 8d-O ,HdO. -8gO dK,O dK-O ,OTd gO-T ,Od",
+"j dj-O ,HjdO gOs- ,O2 &O,2 2B,O aO,2 ,5O ,O5& 5B,O ,O5a 2K,O ,&O2K TO,2 ,Ta",
+"O2 jO,5 &jO,5 ,O5T ,5sO ,;O -;O ;O,B a;-O ,O5* ->O ,5;OB -a>O ;O,K ;O-K ,OT",
+"; T;-O ,O;j >O-j ,5T;O >Os- EO,2 ,&EO2 HO,2 ,HaO2 5E,O ,58EO ,OH5 ,H58O ,EO",
+"2K &EO,2K ,HTO2 H&O,T2 ,5jEO ,5E&jO ,H5jO s,H5O d;,O d;-O ,OH; -;gO ,O5d -d",
+">O ,H5dO >Og- ,d;OK -d;OK ,H;TO -T;gO ,5djO ->djO ,H;jO s-g>O ,P ,P& ,PB ,a",
+"P ,P. ,8P P.,B 8P,a ,QP Q&,P ,TP Qa,P ,Pj Q8,P TP,j sP, ,P* -P *B,P -Pa ,.P",
+"* -P8 P*.,B 8P-a Q*,P -QP T*,P -TP P*,j -Pj P*j,T s-P ,WP W&,P ,HP HP,a WP,",
+". W8,P ,.HP H8,P WQ,P ,WQP& Z,P ,aZP Wj,P P&j,W ,PZj Z,sP ,dP -WP HP,d g-P ",
+",.dP W8-P ,HPd. g8-P Qd,P Qd-P ,dZP Z-P dP,j Wj-P Z*P,j gPs- ,mP m&,P mP,B ",
+"am,P ,5P 5P,8 ,B5P 5a,P Qm,P m&P,Q Tm,P ,QamP p,P ,8pP ,TpP p,sP ,;P -mP ,B",
+";P am-P 5P,; >P- ,5P*B -a>P Q;,P Q;-P T;,P Tm-P ,;pP -pP p*T,P >Ps- Wm,P m&",
+"P,W Hm,P ,HmaP 5W,P ,5W8P H5,P ,H58P ,WQmP ,WQm&P ,mZP Z&m,P ,WpP p&W,P ZPp",
+", sP,Zp v,P -vP ,HvP gP-v ,5vP >P-v v,H5P g->P ,QvP vQ-P ZPv, -PZv pPv, pv-",
+"P Zp*,P y-P C)O C)!O D)O a)DO )OC. C)8O )OD. 8)DO )OCK !CO)K T)DO DTa)O C)j",
+"O jO8C) D)jO D)sO *CO *C+O D*O +OD* CO*. *C8O *OD. DO8* CK*O +*COK DOT* a*O",
+"DT *CjO *jC+O jOD* D*sO E)CO CE)!O D)HO HDa)O C).EO 8CE)O HD)O. H8D)O CE)OK",
+" EK)!CO HDT)O DTaH)O jOCE) 8CEjO) HjD)O sHD)O *CdO +d*CO HOD* D*gO d*CO. 8d",
+"*CO H*DO. gD8*O dK*CO dK*+CO H*DTO gDT*O dj*CO 8dC*jO H*jDO s*DgO )OC2 !)2C",
+"O )OD2 Da)O2 C)5O 58C)O D)5O 5D8)O 2KC)O CKO!)2 DT)O2 Ta)DO2 jO5C) 58CjO) 5",
+"DT)O s5D)O *C;O +;*CO ;*DO a;*DO *C5O *C>O 5OD* D*>O ;*COK ;*C+OK D;T*O D;T",
+"a*O ;jC*O >*jCO 5D*jO >D*sO CE)O2 !O2CE) HD)O2 Da)HO2 5CE)O 8CE5)O H5D)O 5D",
+")H8O C)OEK2 C)!OEK2 DT)HO2 DTH)aO2 5CEjO) 5)jO8CE 5D)HjO H5Ds)O d;*CO d;*+C",
+"O H;D*O gD;*O 5d*CO >*dCO H5*DO >D*gO ;*CdKO dK+*;CO D;TH*O D;Tg*O 5dC*jO d",
+"j*>CO djO5D* gs*>DO PC) !CP) DP) D)aP C)P. PC8) P)D. D)8P PCQ) Q!PC) Q)DP a",
+"P)QD jCP) PjC8) D)Pj DPs) P*C +CP* DP* D*+P *CP. 8CP* D.P* 8PD* QCP* P*C+Q ",
+"DPQ* aP*QD PC*j P*j+C P*Dj DPs* PCW) W!PC) H)DP aP)WD WPC). W8PC) HPD). H8P",
+"D) WQPC) WPCQ!) DPZ) ZDaP) PjCW) W8CPj) ZDPj) sPDZ) WCP* dPC+* DPH* DPg* dP",
+"C*. W8*PC HP*D. gPD8* dPCQ* +WQP*C DPZ* Z*DgP dPj*C dPCQ8* Z*DPj sP*gD PCm)",
+" mPC!) mPD) amPD) PC5) 5P8C) 5)DP 5DP8) QmPC) mPCQ!) QDmP) QDmaP) PCp) p8PC",
+") DPp) sPDp) mCP* m*P+C m*DP am*DP 5CP* P*>C DP5* DP>* m*PQC +QmP*C QD;P* Q",
+"D;aP* P*pC >Pp*C DPp* sP*pD WmPC) mPCW!) HmDP) HmDaP) 5WPC) W8C5P) H5PD) aP",
+")5WD QmPWC) W)Q!mPC ZDmP) amPZD) pWPC) W8PpC) ZpDP) ZpDsP) P*vC v+P*C DPv* ",
+"gvDP* v5P*C >Pv*C vD5P* >PgD* vQP*C P*Cv+Q ZvDP* gvDZ*P pvP*C pv*>PC Zp*DP ",
+"DPy* ,bO b&,O ,DO c,O bO,. ,Ob8 DO,. ,8cO bK,O ,b&OK ,ObT ,TcO ,Obj &jO,b ,",
+"ODj c,sO b*O -bO ,OD* c-O *Ob. b8-O ,D*O. -8cO *ObK bK-O bOT* cO-T jOb* bj-",
+"O ,Dj*O sOc- bE,O ,b&EO ,ObH ,HcO ,bEO. ,8bEO ,HbO. cH8,O ,bEOK bK&,EO ,HbT",
+"O cHT,O ,jbEO b8E,jO ,HjbO s,HcO ,Obd bd-O ,ODd gOc- ,dbO. -b8dO ,DdO. c-8g",
+"O ,dbOK -bdOK ,DdTO c-TgO ,djbO -jbdO ,DdjO s-gcO bO,2 ,b&O2 DO,2 ,Oc2 ,Ob5",
+" ,5b8O ,O5D ,5cO ,bO2K bK&,O2 ,DTO2 c2T,O ,5bjO ,5b&jO ,5DjO s,5cO ,Ob; b;-",
+"O ,OD; -;cO bO5* -b>O ,5D;O >Oc- ,;bOK -b;OK ,D;TO c-T;O ,;jbO ->bjO ,D;jO ",
+"s-c>O ,bEO2 b&E,O2 ,HbO2 c2H,O ,5bEO b5E,8O ,H5bO c5H,O bKE,O2 EO,2bK& bHO,",
+"T2 ,HTc2O b5E,jO 5jbE,8O ,HOb5T c5Hs,O ,db;O -bd;O ,H;bO c-;gO ,5dbO ->bdO ",
+",5DdO c>g-O bdO,;K bd;-OK ,HObT; -T;gcO djOb5* >bd-jO djO,5D c>gs-O ,Pb ,bP",
+"& ,DP cP, ,.bP b8,P ,.DP ,8cP bQ,P ,QbP& bT,P ,QcP bP,j P&j,b DP,j cPs, bP*",
+" -Pb DPb* c-P b.P* b8-P ,DP*. c8-P Q*bP bQ-P TPb* -QcP P*bj bP-j P*j,D c-sP",
+" bW,P ,WbP& bH,P ,HcP ,WbP. ,W8bP ,HPb. cW8,P ,WbQP bWQ,P& ,DZP cPZ, ,WjbP ",
+"bW8,Pj ZbP,j sP,Zc bd,P bW-P HPb* c-gP ,dPb. -Wb8P ,DdP. c-W8P ,QdbP -WbQP ",
+"bPZ* cPZ- dPjb* -WjbP Zb*Pj s-PZc bm,P m&P,b Dm,P ,mcP b5,P ,5Pb8 5D,P ,5cP",
+" ,QbmP ,Qbm&P ,QDmP cQm,P ,Ppb pb8,P ,DpP p,cP b;,P bm-P D;,P -mcP 5Pb* >b-",
+"P ,5D;P c->P ,Q;bP -Qb;P ,QD;P c-Q;P bPp* pb-P pb*DP cP-p ,WbmP ,Wbm&P ,Hmb",
+"P cWm,P ,5WbP b5W,8P ,H5bP c5W,P bWQ,mP QmP&,Wb Zbm,P ZcP,m pbW,P ,W8pbP Zp",
+"b,P cpZ,P ,Pvb vb-P ,DvP cP-v vb5,P -v>bP vD,5P cv->P vbQ,P -vbQP Zvb,P cvZ",
+"-P pvb,P -pvbP ZpbP* c-yP 0)O 0)!O 0)OB 0)aO 1)O 8)1O )B1O a)1O )O0K !K0)O ",
+"0)TO Ta0)O 1)jO jO18) T)1O 1)sO *0O *0+O 0B*O *0aO 1*O 1O8* 1O*B 1Oa* 0O*K ",
+"+*0OK *0TO a*0TO jO1* *jO1+ 1OT* 1*sO 0)EO !E)0O 0)HO Ha0)O E)1O 18E)O H)1O",
+" 1H8)O EK0)O !0OEK) HT0)O Ta0H)O jO1E) 18EjO) 1HT)O s1H)O *0dO +d*0O *0HO *",
+"0gO d*1O 1+d*O 1OH* 1*gO dK*0O dK*+0O H*T0O gT*0O dj*1O 1+d*jO 1H*jO s*1gO ",
+")O02 0)2!O 0)2OB a0)O2 5)1O 158)O 15)OB 1a5)O 0)2OK !)O2K0 T0)O2 a0)TO2 jO1",
+"5) 158jO) 1T5)O s15)O *0;O +;*0O *B;0O a;*0O 1O5* 1*>O 1;*OB >*1aO ;*0OK ;*",
+"0+OK T;*0O T;0a*O ;jO1* >*1jO 1T;*O s*1>O 0)2EO !EO0)2 H0)O2 a0)HO2 15E)O 5",
+"8E1)O 1H5)O H5)1aO E)O2K0 0)EO2K! T0)HO2 0)HOTa2 15EjO) 5)jO18E H5)1TO 1H5s",
+")O d;*0O d;*+0O H;*0O g;*0O 1d5*O >*1dO 1H;*O g>1*O ;*0dKO dK+*;0O T;0H*O T",
+";*g0O 1d5*jO dj*>O1 ;jO1H* g>1s*O P0) !0P) )BP0 P0a) 1P) 1)8P P)1B 1)aP P0Q",
+") Q!P0) P0T) aP0Q) 1)Pj Pj)18 1)TP 1Ps) P*0 +0P* P0*B a0P* 1P* +P1* *B1P aP",
+"1* Q0P* P*0+Q T0P* aP*Q0 Q*1P P*j1+ TP1* 1Ps* P0W) W!P0) P0H) aP0H) WP1) 1W",
+"8P) 1)HP 1HP8) WQP0) WP0Q!) P0Z) ZaP0) Pj)1W 1W8Pj) 1PZ) sP1Z) W0P* dP0+* H",
+"0P* P*g0 W*1P 1+WP* HP1* 1Pg* dP0Q* +WQP*0 P*Z0 Z*Pg0 dPj1* 1+WP*j 1PZ* sP*",
+"g1 P0m) mP0!) mP0)B amP0) 1)5P 1m8P) 1mP)B 1amP) QmP0) mP0Q!) TmP0) Tm0aP) ",
+"1Pp) p18P) p1TP) sP1p) m0P* m*P+0 m*P0B am*P0 5P1* 1P>* 1m*PB >P1a* m*PQ0 +",
+"QmP*0 Tm*P0 am0TP* 1Pp* >Pp1* p*1TP sP*p1 WmP0) mP0W!) HmP0) Hm0aP) 1W5P) 5",
+"W81P) 1HmP) am)1HP QmPW0) P!m0WQ) ZmP0) amPZ0) p1WP) 1W8pP) Zp1P) Zp1sP) P*",
+"v0 v+P*0 vHP*0 gvP*0 1Pv* >Pv1* v1HP* >Pg1* vQP*0 P*0v+Q ZvP*0 gvPZ*0 pv1P*",
+" pv1>P* Zp*1P 1Py* ,9O 9&,O 9O,B ,O9a ,1O :,O 1O,B ,a:O 9O,K ,9&OK ,O9T ,T9",
+"aO ,O9j ,j:O ,O1T :,sO 9*O -9O 9O*B 9a-O ,O1* :-O ,1*OB -a:O *O9K 9O-K 9OT*",
+" 9T-O jO9* :O-j ,1T*O sO:- 9E,O ,9&EO ,O9H ,H9aO 1E,O ,E:O ,O1H ,H:O ,9EOK ",
+"9&E,OK ,H9TO 9HT,aO ,1jEO :j,EO ,1HjO s,H:O ,O9d 9d-O 9OH* -9gO ,O1d -d:O ,",
+"1HdO gO:- ,d9OK -9dOK ,Td9O -T9gO ,1djO :-djO ,1TdO g:s-O 9O,2 ,9&O2 ,9O2B ",
+",a9O2 ,O95 ,5:O ,15OB :5a,O ,9O2K 9&O,2K ,T9O2 9TO,a2 ,15jO :5j,O ,1T5O s,5",
+":O ,O9; 9;-O ,;9OB -9a;O ,O1; >O:- ,1;OB :->aO ,;9OK -9;OK ,T;9O -T9;O ,1;j",
+"O :->jO ,1T;O s-:>O ,9EO2 9&E,O2 ,H9O2 9HO,a2 ,15EO :5,EO ,1H5O :H5,O 9EO,2",
+"K EO,29&K 9HO,T2 HO,29Ta 95E,jO ,5j:EO ,HO95T :H5s,O ,d9;O -9d;O ,H;9O g-9;",
+"O ,1d5O :->dO ,1H;O g:->O 9dO,;K 9d;-OK ,HO9T; g9;-TO djO,1; ->j:dO ;jO,1H ",
+"s->g:O ,P9 ,9P& ,B9P 9a,P ,1P :P, ,B1P ,a:P 9Q,P ,Q9P& 9T,P ,Qa9P 9P,j ,Q:P",
+" 1T,P :Ps, 9P* -P9 *B9P 9a-P 1P9* :-P ,1P*B :a-P Q*9P 9Q-P TP9* 9T-P P*9j -",
+"Q:P P*j9T :-sP 9W,P ,W9P& 9H,P ,HP9a 1W,P ,W:P 1H,P ,H:P ,W9QP 9WQ,P& ,PZ9 ",
+"Z9a,P ,1WPj :WQ,P ,1ZP :PZ, 9d,P 9W-P HP9* -Pg9 1d,P -W:P ,1HdP :-gP ,Qd9P ",
+"-W9QP 9PZ* -PZ9 dPj,1 :-WPj Z9*1P :PZ- 9m,P m&P,9 ,m9PB ,am9P 95,P ,5:P ,1m",
+"PB :ma,P ,Q9mP ,Q9m&P ,Tm9P 9Tm,aP ,1pP p,:P p9T,P sP,:p 9;,P 9m-P ,;P9B -m",
+"9aP 1;,P :->P ,1;PB :-maP ,Q;9P -Q9;P ,T;9P -Tm9P 9Pp* :P-p p9*TP -ps:P ,W9",
+"mP ,W9m&P ,Hm9P 9Hm,aP ,1W5P :W5,P ,1H5P :Hm,P 9WQ,mP QmP&,W9 Z9m,P ,amZ9P ",
+"p9W,P :pW,P Zp9,P Z:p,P ,Pv9 v9-P v9H,P -vg9P ,1vP :P-v v1,HP :v-gP v9Q,P -",
+"v9QP Zv9,P Z-v9P pv9,P :v-pP Zp9P* :-yP 0)CO C0)!O 0)DO Da0)O C)1O 18C)O D)",
+"1O 1D8)O C0)OK !K)C0O DT0)O Ta0D)O jO1C) 18CjO) 1DT)O s1D)O C0*O +*C0O *0DO",
+" a*0DO *C1O 1+*CO 1OD* 1+D*O *C0OK *C0+OK D*T0O D*0+TO *jC1O 1+C*jO 1D*jO s",
+"*1DO C0)EO !E)C0O HD0)O Da0H)O 1CE)O 8CE1)O 1HD)O H8)1DO EK)C0O 0)EOCK! DT0",
+"H)O 0)HODTa 1CEjO) C)8O1jE Hj)1DO 1HDs)O d*C0O d*C+0O H*D0O gD*0O 1d*CO 8dC",
+"1*O 1H*DO g1D*O *C0dKO C0dO+*K Td0D*O D*Tg0O 1dC*jO dj1*+CO djO1D* g1Ds*O C",
+"02)O !)2C0O D0)O2 a0)DO2 15C)O 58C1)O 1D5)O 5D)1aO CKO0)2 0)C2!KO T0)DO2 0)",
+"TODa2 15CjO) 5)jO18C 5D)1TO 1D5s)O ;*C0O ;*C+0O D;*0O D;0a*O 1;*CO >*1CO 1D",
+";*O >D*1O *C0;OK C0;O+*K T;0D*O a;D*T0O 1;C*jO *jC>O1 ;jO1D* s*1>DO CEO0)2 ",
+"0)C2!EO D0)HO2 0)HODa2 5CE1)O 5E1O8C) H5)1DO 5OD81H) 0)C2EKO C)!OE02K 0)HOD",
+"T2 DaHO0)T2 5)jO1CE 5j1EC)8O H)Dj15O 15s)HDO ;*Cd0O C0;O+d* D;0H*O D;*g0O 5",
+"dC1*O 1d*>CO 1HO5D* g1*>DO C0;OdK* dK+*C0;O T;H*D0O D*g0T;O dj1;*CO dj>*1CO",
+" jOH;1D* >Dgs1*O C0P) PC0!) P0D) aP0D) PC1) 1P8C) 1)DP 1DP8) QPC0) PC0Q!) Q",
+"DP0) QD0aP) PjC1) Q8C1P) 1QDP) sP1D) *CP0 P*C+0 D0P* aP*D0 1CP* 1+P*C DP1* ",
+"aP*1D P*CQ0 +QCP*0 QD*P0 aP0QD* P*j1C P*C1+Q P*j1D sP*1D WPC0) PC0W!) HPD0)",
+" WD0aP) 1WPC) W8C1P) 1HPD) aP)1WD QPCW0) QCW0P)! ZDP0) aP0ZD) 1WCPj) QC8P1W",
+") Z1DP) Z1DsP) dPC*0 +WCP*0 HP*D0 gPD*0 1W*PC P*C1+W 1HPD* g1PD* QdCP*0 QCd",
+"P+*0 Z*DP0 gPDZ*0 dPC1Q* WC*j1+P Z1*DP sPDZ1* mPC0) PC0m)! DmP0) Dm0aP) 1mP",
+"C) 8mC1P) 1DmP) am)1DP mPCQ0) P!m0QC) Tm0DP) amDPQ0) p1PC) 1P8pC) pD1P) pD1",
+"sP) m*PC0 +mCP*0 Dm*P0 am0DP* 1m*PC >P1*C 1DmP* >PD1* Q;CP*0 QCm*+P0 ;P0QD*",
+" m*DP+Q0 p*1PC p*1>PC pD*1P sP1pD* mPCW0) P!m0WC) Dm0HP) amHPD0) 5WC1P) W)8",
+"P1mC 1H)5DP H)8m1DP QCW0mP) !Cm)QPW0 DmPZ0) amZPD0) 1WPpC) 18pCWP) pDPZ1) s",
+"1pDZP) vP*C0 P*Cv+0 vDP*0 gP*vD0 v1P*C v1*>PC v1DP* >D*g1P P*CvQ0 P*vC+Q0 v",
+"DPZ*0 gDZ*vP0 v1Pp*C >*v1pPC Z1PpD* y*1DP b9,O ,b9&O ,O9D ,9cO ,Ob1 ,b:O ,O",
+"1D c,:O ,b9OK b9&,OK ,D9TO c9T,O ,1bjO :bj,O ,1DjO s,O:c bO9* b9-O 9OD* -9c",
+"O bO1* -b:O ,1D*O :Oc- b*9OK -b9OK bT*9O c-9TO b1*jO :-bjO b1T*O s-:cO ,b9E",
+"O b9&,EO ,H9bO c9H,O ,1bEO :b,EO ,1HbO :cH,O b9E,OK b9,&EKO bH9,TO ,H9cTO b",
+"1E,jO ,jb:EO ,1ObHj :cHs,O ,db9O -b9dO ,Dd9O c-9gO ,1dbO :-bdO ,1DdO g:c-O ",
+"9dOb*K bd9-OK ,DO9Td -T9gcO djOb1* -jb:dO djO,1D s-cg:O ,b9O2 b9&,O2 ,D9O2 ",
+"c29,O ,1b5O :b5,O ,1D5O :c5,O b9O,2K bO,29&K 9DO,T2 ,T9c2O b15,jO ,5b:jO ,1",
+"Ob5T :c5s,O ,;b9O -b9;O ,D;9O c-9;O ,1;bO :->bO ,1D;O c>:-O 9;Ob*K b;9-OK ,",
+"DO9T; -T9c;O ;jOb1* -jb:>O ;jO,1D c>:s-O b9E,O2 EO,2b9& 9HO,D2 ,H9c2O b1E,5",
+"O ,5b:EO ,1ObH5 c5,:HO EO,2b9K 9&,KEOb2 HO,2bT9 ,9c2HTO 5E9O,jb ,b:EjO5 ,O1",
+"Hb5T sHc5:,O bd9,;O bd9-;O ,HO9D; g-9c;O ,1Ob5d ->b:dO ,1ObH; c>-g:O ,Obd9;",
+"K b9-OdK; ,OH;bT9 gTc;-9O ,O1db;j >j:d-bO 1H,;bTO >Og:s-c ,b9P ,P9b& 9D,P ,",
+"Pc9 b1,P ,P:b 1D,P :,cP ,Qb9P bQ9,P& ,QD9P cQ9,P ,1QbP :Qb,P ,1QDP sP,:c 9P",
+"b* bP-9 DP9* c9-P 1Pb* :b-P ,1DP* c-:P bQ*9P -Qb9P bTP9* c-Q9P P*jb1 :-QbP ",
+"P*j9D s-P:c ,Wb9P bW9,P& ,HP9D cW9,P ,1WbP :Wb,P ,1HbP :cW,P bW9,QP WQP&,b9",
+" Zb9,P Zc9,P b1W,Pj ,Wj:Pb Zb1,P Z:c,P ,dPb9 -Wb9P ,Dd9P c-W9P ,1dbP :-WbP ",
+",1DdP g:Pc- 9QdbP* bQd-P9 Zb*9P Z-c9P b1WP*j :Wb-Pj Zb1P* Z:-cP ,mb9P bm9,P",
+"& ,Dm9P cm9,P ,1mbP :mb,P ,1D5P :cm,P bQ9,mP QmP&,b9 9Dm,TP ,TmcP9 pb9,P :p",
+"b,P p9D,P cp:,P ,;Pb9 -mb9P ,D;9P c-m9P ,1;bP :-mbP ,1D;P c>P:- 9Q;bP* bQ;-",
+"P9 9QD,;P cm9-TP pb*9P -p:bP p9DP* cp-:P bW9,mP WmbP,9& 9Hm,DP ,HmcP9 b1W,5",
+"P ,5W:Pb b1H,5P :H,c5P QmbP,W9 ,bP&WQ9m ,DmZ9P cm9Z,P ,1WpbP pbW:P, Z9PpD, ",
+"Z:Pcp, vb9,P -vb9P v9D,P cv-9P vb1,P :v-bP v1D,P :vc-P bQ*v9P vb9-QP Z9PvD,",
+" Z-9cvP pbPv1, -pb:vP ZbPp9* y:c-P R) R)! R)B Ra) R). R8) .BR) 8aR) RM) M)R",
+"! RT) R)aM Rj) R)8M TjR) sR) R* R+* R*B Ra* R*. R8* R.*B 8*Ra R*M +MR* RT* ",
+"+TR* R*j +jR* T*Rj sR* RE) !ER) RH) HaR) E)R. 8ER) H)R. R)H8 MER) RME!) R)H",
+"M aM)RH jER) R8ME) R)Hj RHs) Rd* +dR* RH* gR* d*R. 8dR* R.H* R8g* dMR* dM*R",
+"+ HMR* RTg* djR* R+jd* H*Rj s*gR R)2 !)R2 2BR) a)R2 R5) 58R) 5BR) R)5a M)R2",
+" RM)!2 T)R2 aM)R2 R)5M R58M) R)5T R5s) R;* +;R* *BR; a;R* R5* >R* *BR5 Ra>*",
+" M;R* M;*R+ T;R* aM;R* 5MR* R*>M 5TR* >Rs* E)R2 RE)!2 H)R2 RHa)2 5ER) R58E)",
+" R)H5 RH58) RME)2 ME)R2! RHT)2 RH)aM2 R5ME) 5MER8) RH5T) sRH5) d;R* R+d;* H",
+";R* R;g* 5dR* Rd>* H5R* >*gR dM;R* R+dM;* RH;T* gRT;* R5dM* >MRd* RH5T* >Mg",
+"R* RP) P)R! P)RB R)aP P)R. R)8P RP).B aP)R8 S) S!) ST) Sa) Sj) S8) TjS) Ss)",
+" R*P +PR* RP*B aPR* R.P* 8PR* P*.RB aP*R8 S* S+* S*T Sa* S*j S8* T*Sj Ss* R",
+"W) W!R) R)HP R)Wa W)R. R)W8 RHW). RH8W) SW) W!S) SZ) ZaS) WjS) W8S) ZjS) s)",
+"SZ RW* +WR* HPR* RWg* R.W* W8R* RH*W. gRW8* Sd* +WS* SZ* gS* W*Sj W8S* SjZ*",
+" s*gS Rm) m)R! m)RB R)am R)5P R)8m R5m)B R5am) Sm) m)S! TmS) amS) Sp) p8S) ",
+"pTS) s)Sp Rm* +mR* *BRm amR* 5PR* Rm>* R5*mB >PRa* S;* +mS* TmS* amS* Sp* S",
+">* STp* s*S> WmR) RWm!) R)Hm RHma) R)5W R5W8) RH5W) RH8m) WmS) S!Wm) ZmS) S",
+"Zam) pWS) SpW8) S)Zp SZps) vR* R+v* RHv* g*vR R5v* >*vR vRH5* >PgR* Sv* v+S",
+"* ZvS* S*gv pvS* v>S* ZpS* yS* ,R ,R& ,RB ,Ra ,R. ,R8 RB,. R8,a ,RM R&,M ,R",
+"T RT,a ,Rj R8,M RT,j sR, ,R* -R *B,R -Ra ,.R* -R8 ,R*.B R8-a R*,M -RM R*,T ",
+"-RT R*,j -Rj ,RT*j s-R ,RE ,ER& ,RH RH,a RE,. ,ER8 ,.RH RH,8 RM,E M&E,R RH,",
+"T ,RHT& ,ERj ,R8ME RH,j ,RsH ,Rd -Rd RH,d g-R ,.Rd R8-d ,RHd. g8-R Rd,M Rd-",
+"M RT,d -RgM Rd,j Rd-j ,RHdj gRs- ,R2 ,2R& RB,2 ,2Ra ,R5 R5,8 RB,5 R5,a RM,2",
+" M&2,R ,2RT ,RT&2 R5,M ,R58M R5,T ,Rs5 ,R; -R; RB,; Ra-; R5,; ->R ,R5*B -a>",
+"R R;,M R;-M RT,; RT-; R;,j -R>M ,R5T; ->sR RE,2 ,R&E2 ,2RH ,RH&2 ,ER5 ,R58E",
+" RH,5 ,RH5a ,RME2 ,REM&2 ,RHT2 aM2,RH ,R5ME M&E,R5 ,RH5T sR,H5 Rd,; Rd-; RH",
+",; g;-R R5,d -d>R ,RH5d ->gR ,RdM; -RdM; ,RHT; -RTg; ,R5dM >M-Rd ,RH;j s-Rg",
+"> ,RP R&,P RB,P Ra,P RP,. R8,P ,RP.B ,R8aP S, S&, S,T Sa, S,j S8, ,TSj Ss, ",
+"R*,P -RP P*B,R Ra-P P*.,R R8-P ,R.P*B -R8aP S*, S- ,TS* S-T ,jS* S-8 S*T,j ",
+"S-s ,RW R&,W RH,W RW,a ,.RW RW,8 ,RHW. ,RHW8 S,W ,WS& SZ, Z&S, ,WSj ,WS8 Sj",
+"Z, s,SZ RW,d -RW ,RHW* -RgP ,RWd. RW-8 dP.,RH -RWg8 Sd, S-W Z*S, gS- ,dSj -",
+"WS8 SZ*,j s-gS ,Rm R&,m RB,m Ra,m R5,m R8,m ,R5mB ,R5am S,m ,mS& ,TSm ,aSm ",
+"Sp, p&S, STp, s,Sp Rm,; -Rm ,Rm*B Ra-m ,R5m* -R>P m*B,R5 >P-Ra S;, S-m ,TS;",
+" -TS; p*S, S-p Sp*,T s-S> RW,m ,RWm& RH,m ,RHam R5,W ,R5W8 ,RH5W ,RH8m ,WSm",
+" S&W,m SmZ, SZ&,m SWp, Sp&,W ZpS, Ss,Zp vR, -vR ,RvH gR-v ,Rv5 v>-R vR,H5 -",
+"vRg> Sv, S-v ZvS, SvZ- pvS, Sv-p Sv,Zp y-S RU) U!R) RD) R)Ua U)R. R)U8 D)R.",
+" R)D8 UMR) RUM!) VR) RaV) R)Uj R8UM) RjV) VRs) R*U U+R* RD* UaR* R.U* U8R* ",
+"R.D* D8R* RUM* R+UM* V*R R+V* U*Rj R+jU* R*Vj V*sR UER) RUE!) R)UH RHUa) RU",
+"E). R8UE) RHU). RH8U) RUME) U!MRE) RHV) VRHa) RjUE) U8ERj) VRHj) VsHR) UdR*",
+" R+Ud* UHR* RDg* RdU*. R8dU* RH*U. gRU8* dM*RU R+UdM* RHV* V*gR RdjU* U8dR*",
+"j VdR*j s*VgR U)R2 RU)!2 D)R2 RDa)2 R)U5 R5U8) R)5D R5D8) RUM)2 U!MR)2 R)V2",
+" V2Ra) R5UM) U58Rj) R5V) Vs5R) U;R* R+U;* D;R* R+D;* U5R* R*>U 5DR* RD>* M;",
+"*RU R+UM;* R;V* V+R;* R5*Uj >MRU* R5V* >RV* RUE)2 U!ER)2 RHU)2 UH)Ra2 R5UE)",
+" U5ER8) RH5U) RH)U5a UMER)2 !ER)UM2 V2RH) RHaV2) U5ERj) REU85M) V5RH) sRHV5",
+") RdU;* U+dR;* RH;U* gRU;* R5dU* >RUd* RH5U* g>RU* RdUM;* dMR;U+* VdR;* gVR",
+";* U5dR*j Rdj>U* V5dR* V>gR* UP) P)U! R)DP U)aP P)U. U)8P RDP). RD8P) SU) U",
+"!S) SV) VaS) UjS) U8S) VjS) s)SV UP* +PU* DPR* aPU* U.P* 8PU* RD*P. aP*U8 S",
+"*U U+S* SV* V+S* U*Sj U8S* SjV* s*SV R)UW RWU!) R)WD RWDa) RWU). RW8U) RWD)",
+". RWD8) UWS) S!UW) S)VZ SZVa) SUWj) S8UW) SZVj) SsZV) UWR* R+WU* HPU* UPg* ",
+"RW*U. RW8U* RWD*. gUP8* UWS* S+UW* Z*SV S*gV SdU*j S8dU* SZ*Vj Ss*gV R)Um R",
+"mU!) R)Dm RDma) U)5P R8mU) R5Dm) RD8m) UmS) S!Um) S)Vm SVam) S)pU SpU8) S)V",
+"p SspV) UmR* R+mU* DmR* am*RD 5PU* UP>* R5Dm* >PUD* UmS* S+Um* VmS* SV+m* p",
+"US* >US* S*Vp S*V> RWUm) UW)Rm! RHmU) am)RWD R5WU) R5)UW8 R5WD) aP)UH5 SUWm",
+") UWmS!) SZVm) VZmSa) SpUW) pUWS8) SZpV) VpZSs) R*vU vRU+* RDv* gvRU* vRU5*",
+" >PUv* vRD5* >PgU* vUS* SvU+* S*Vv VvgS* Sp*vU S>vU* VvpS* SVy* ,Rb R&,U ,R",
+"D cR, ,.Rb Rb,8 ,.RD ,Rc8 Rb,M ,RbM& V,R V,cR Rb,j ,R8bM ,RVj cRs, Rb* -Rb ",
+"R*,D c-R R.b* Rb-8 ,RD*. c8-R bMR* Rb-M ,RV* V-R b*Rj Rb-j V*R,j sRV- ,ERb ",
+",Rb&E Rb,H ,RcH ,RbE. ,R8bE ,RHb. cRH,8 ,RbME ,RbM&E ,RVH cRV,H ,RjbE ,Rb&j",
+"E V,RHj s,VRH Rb,d Rb-d RD,d c-gR ,Rdb. -Rb8d ,RDd. c-Rg8 ,RdbM -RbdM ,RVd ",
+"gRV- ,Rdbj -Rjbd Vd,Rj V-gsR ,2Rb ,Rb&2 ,2RD ,Rc2 Rb,5 ,R5b8 R5,D ,Rc5 ,RbM",
+"2 ,RbM&2 ,RV2 cRV,2 ,R5bM Rb5,8M ,RV5 s,VR5 Rb,; Rb-; RD,; -Rc; b5R* >R-U ,",
+"R5D; ->cR ,R;bM -RbM; ,RV; V;-R ,R;bj >M-Rb V5*,R -RV> ,RbE2 R&E,U2 ,RHb2 c",
+"RH,2 ,R5bE ,REU5& ,RHb5 cR5,H RbE,M2 bER2,M& V,RH2 V,HcR2 ,REb5M ,ER5b8M V5",
+",RH s,HcR5 ,Rdb; -Rbd; ,RHb; c-Rg; ,R5bd ->Rbd ,R5Dd c>Rg- Rbd,M; Rbd-M; Vd",
+",R; V-gR; Rb5,dM -Rb>Md V5d,R V->gR ,UP U&,P RD,P ,RcP ,.UP U8,P ,RDP. cR8,",
+"P Sb, ,US& SV, Sc, ,USj ,US8 SjV, s,Sc bPR* -UP ,RDP* -RcP ,UP*. U8-P P*.,R",
+"D c-R8P Sb* S-b V*Sb Sc- b*Sj -US8 SV*,j s-Sc Rb,W ,RWU& RW,D ,RcW ,RWb. ,R",
+"Wb8 ,RWD. cRW,8 ,USW SbW,& ZbS, S,Zc SbW,j Sb8,W SZb,j Ss,Zc bWR* Rb-W ,RWD",
+"d -RcW ,UdP. -RWb8 dP.,RD c-RW8 ,USd -USd ZbS* Z-Sc Sbd,j S-bW8 SZb*j gScs-",
+" Rb,m ,RmU& RD,m ,Rcm U5,P ,R8bm ,R5Dm cR5,m ,USm Sbm,& VmS, cmS, pbS, Spb,",
+"8 S,Vp S,cp bmR* Rb-m ,RDm* -Rcm ,U5;P -U>P R5D,;P c>R-m ,US; -US; V;S, S;V",
+"- pbS* Sb-p Vp*Sb cpS- ,RWbm RW&,Um ,RHbm cRW,m ,R5bW Rb5,W8 ,R5WD cR5,W Sb",
+"W,m ,UWS&m SZb,m ScZ,m Spb,W S8WpU, Vp,SZ ScpZ, ,Rvb vR-U ,RvD cR-v vRb,5 -",
+"vR>b vRD,5 cvR-> vbS* Sb-v S,Vv cvS- Svbp* -pUSv Vv,Sp Scy- Rk) k)R! k)RB R",
+")ak R1) R)8k 1)RB R)1a kMR) RkM!) R)Tk ak)RT lR) R8l) RTl) l)sR R*k +kR* Rk",
+"*B akR* R1* 1+R* *BR1 1aR* RkM* k*MR+ TkR* ak*RT l*R R+l* RTl* sRl* kER) Rk",
+"E!) R)Hk ak)RH 1ER) R18E) R)1H R1H8) RkME) kMER)! RHTk) RHTak) REl) lR8E) R",
+"Hl) lsRH) dkR* dk*R+ HkR* R*gk 1dR* R1+d* 1HR* R1g* dkMR* R+dk*M RH*Tk gRTk",
+"* Rdl* l+Rd* RHl* gRl* k)R2 Rk)!2 Rk)2B ak)R2 R)5k R158) R15)B R1a5) RkM)2 ",
+"kM)R2! RTk)2 RT)ak2 R5l) lR58) lR5T) lsR5) k;R* k;*R+ k;*RB ak;R* 1;R* R1>*",
+" R1;*B >kRa* k;MR* R+kM;* RT;k* RT;ak* R5l* >Rl* l;RT* l>sR* RkE)2 kE)R2! R",
+"Hk)2 RH)ak2 R15E) 5kER8) R1H5) ak)RH5 kMER)2 !ER)kM2 Hk)RT2 akHMR)2 lR5E) R",
+"58lE) lHR5) sR5lH) dk;R* R+dk;* RH;k* gRk;* R1d5* >kRd* R1H5* >kgR* RdkM;* ",
+"dkR;+M* Hk;RT* RT;gk* ldR5* l>Rd* lH;R* gl>R* kP) k!P) P)kB a)kP R)1P 8)kP ",
+"kP)1B akP1) Sk) k)S! TkS) akS) Sl) l)S8 STl) l)Ss kP* k*+P *BkP kPa* 1PR* k",
+"P8* kP*1B akP1* S*k +kS* TkS* akS* l*S S+l* lTS* l*Ss R)Wk kP)W! H)kP akPH)",
+" R)1W R1W8) R1HW) R1Wa) WkS) S!Wk) S)Zk SZak) SWl) Sl8W) l)SZ SslZ) WkR* dk",
+"P+* kPH* kPg* 1WR* dkP8* kP*1H gR1W* WkS* S+Wk* ZkS* S*gk Sdl* S8dl* SZl* l",
+"*gS R)km km)R! km)RB akmR) R)1m R1m8) R1m)B akP5) kmS) S!km) STkm) Sakm) l)",
+"Sp Slp8) SlpT) Sslp) kmR* km*R+ km*RB akmR* 1mR* kP>* kP*5B >kPa* kmS* S+km",
+"* S;Tk* Sa;k* Spl* l*S> Sp*lT Ss*l> km)RW RW)km! RHmk) ak)RHm R1W5) km)RW8 ",
+"R1Hm) ak)R5W SWkm) km)S!W SZkm) ZkmSa) SlpW) lWpS8) SZpl) lZpSs) R*vk vR+k*",
+" vRHk* gvRk* R1v* >kvR* vR1H* >kgP* vkS* Sv+k* SZ*vk gSvk* l*Sv lv>S* lvZS*",
+" l*yS ,R9 R&,k RB,k R9,a ,R1 :R, RB,1 ,R:a R9,M ,R9M& R9,T ,RT9a l,R :Rl, ,",
+"RlT sRl, R9* -R9 *BR9 R9-a R*,1 :-R ,R1*B :a-R 9MR* R9-M 9TR* R9-T ,Rl* l-R",
+" l*R,T sRl- ,ER9 k&E,R R9,H ,RH9a ,ER1 ,R:E R1,H ,R:H ,R9ME ,R9M&E ,RH9T R9",
+"H,aM ,RlE :R,lE ,RlH :RHl, R9,d R9-d 9HR* -Rg9 R1,d -R:d ,R1H* :-gR ,Rd9M -",
+"R9dM ,RT9d -RTg9 ,Rld -Rld lH*,R gRl- ,2R9 k&2,R ,R92B ,Ra92 R9,5 ,R:5 ,R15",
+"B :R5,a ,R9M2 ,R9M&2 ,RT92 ak2,RT ,Rl5 :R5l, l,R5T ls,R5 R9,; R9-; ,R;9B -R",
+"9a; R1,; ->:R ,R1;B :-R>a ,R;9M -R9M; ,RT9; -RT9; ,Rl; -Rl> l;,RT s-Rl> ,R9",
+"E2 ,REk&2 ,RH92 ak2,RH ,R15E :R5,E ,R1H5 :RH,5 R9E,M2 k&,MRE2 ,R29HM ,2RH9a",
+"M l,R5E l,5:RE lH,R5 s,5:RH ,Rd9; -R9d; ,RH9; g-R9; ,R15d :-R>d ,R1H; g:R->",
+" R9d,M; R9d-M; R9H,T; -R;g9M ld,R5 l->Rd lH;,R gl->R ,kP k&,P ,BkP ak,P R1,",
+"P ,R:P ,R1PB :Ra,P S9, ,kS& ,TS9 ,aS9 l,S S:, lTS, l,Ss 9PR* -kP kP*,B ak-P",
+" kP*,1 -R:P k*B,1P :-RaP S9* S-9 9TS* -TS9 S9l* l-S S9*lT s-S: R9,W kP&,W H",
+"k,P akP,H R1,W ,R:W ,R1HP :RH,W ,WS9 S9W,& Z9S, SZ9,a S,lW :WS, SZl, S,Z: 9",
+"WR* R9-W dkP,H -kgP dkP,1 -R:W ,1HdkP g:R-W ,dS9 -WS9 Z9S* g9S- Sdl, lWS- l",
+"Z*S9 gSl- R9,m km&,R ,Rm9B akm,R R1,m ,R:m ,R1mB :Rm,a ,kSm S9m,& S9T,m S9a",
+",m Spl, S,:p Sp9,T Ss,:p 9mR* R9-m k;P,B -Rm9a k;P,1 -R:m k;B,1P :-Ram ,kS;",
+" -kS; S9;,T S-9Tm S;l, S>l- Sp9T* l-pSs ,RW9m ,RWkm& ,RH9m ,RHakm ,R15W :RW",
+",5 ,R1Hm :RH,m S9W,m km&S,W SZ9,m SamZk, Sp9,W S:p,W lZ,Sp S:Zp, ,Rv9 vR-k ",
+"vR9,H -vRg9 ,Rv1 :R-v vR1,H :vRg- v9S* S9-v Sv9Z* gS-v9 l,Sv S-lv lv,SZ l-y",
+"S UkR) RUk!) R)Dk ak)RD R)1U R1U8) R)1D R1D8) RUkM) U!kRM) RkV) VRak) RUl) ",
+"lRU8) VRl) lsVR) RUk* R+Uk* DkR* ak*RD 1UR* R1+U* 1DR* R1+D* k*MRU R+Uk*M R",
+"*Vk V+Rk* R*lU l+RU* lRV* s*VlR RUkE) U!kRE) RHUk) RHUak) R1UE) 1UER8) R1HU",
+") R1)UH8 UkMRE) !ER)UkM VRHk) ak)VRH lRUE) R8UlE) VlRH) Vs)lHR dk*RU R+Udk*",
+" RH*Dk gRUk* R1dU* 1UdR8* R1HU* gR1U* RdUk*M dkR*U+M VdRk* gVRk* ldRU* R8dl",
+"*U lH*VR glVR* RUk)2 U!kR)2 RDk)2 RD)ak2 R1U5) 1U5R8) R1D5) ak)R5D UkMR)2 !",
+")k2RUM V2Rk) ak)V2R lRU5) R5Ul8) VlR5) V5Rls) k;*RU R+Uk;* RD;k* RD;ak* R1;",
+"U* >kRU* R1D5* >kDR* R;Uk*M k;R*U+M V;Rk* ak;V*R l;RU* l>RU* l;VR* V>lR* Uk",
+"ER)2 !ER)Uk2 Hk)RD2 R)UHak2 1UER5) RE1U58) R1)UH5 R)1HU5a E)R2UkM U!RME)k2 ",
+"RHkV2) akV2RH) R5UlE) RUlE58) V5RlH) lRV5sH) RdUk;* dkR;U+* Hk;RD* RD;gk* 1",
+"UdR5* R1d>U* 1UHR5* >D*gR1 dkR;U*M U+R*k;dM RH;V*k gRkV;* R5dl*U >RUld* lHR",
+"V5* glRV>* U)kP kP)U! D)kP akPU) 1)UP 1UP8) R1DP) 1UaP) UkS) S!Uk) VkS) SVa",
+"k) SUl) SlU8) l)SV SlVs) kPU* kP*U+ kPD* akPU* UP1* kP*U8 kP*1D aP*1U U*Sk ",
+"S+Uk* SkV* SV+k* lUS* S8*lU SVl* Ss*Vl kP)UW UW)kP! RWDk) ak)RWD R1WU) kP)U",
+"W8 R1WD) aP)1UH SUWk) UWkS!) SZVk) ZkVSa) SlUW) lWUS8) SlVZ) lZVSs) dkPU* U",
+"+WkP* dkPD* gUPk* R1WU* 1U+RW* R1WD* g1UP* SdkU* U+WS*k SZ*Vk gSVk* lW*SU S",
+"+UlW* lZ*SV glSV* km)UP Um)kP! RDmk) ak)RDm R1mU) km)U8P R1Dm) ak)U5P SUkm)",
+" km)S!U SVkm) VmkSa) SlpU) pUlS8) SlVp) VplSs) km*UP U+mkP* km*RD R+Dkm* kP",
+"*U5 >kPU* kP*5D >kDP* S;Uk* km*S+U SV;k* S+kVm* Sp*lU S>lU* Vp*Sl S>Vl* RWU",
+"km) k!m)RWU km)RWD akRmUH) kP)U5W R)1WU8m kP)UH5 1HRmU8) km)SUW WmS)U!k Zkm",
+"SV) akVmSZ) lWUSp) SplWU8) lZSVp) SlVpsZ) vRUk* kP*vU+ vRDk* gR*vDk vR1U* >",
+"P*v1U vR1D* >D*vR1 SvUk* vU+S*k VvSk* gSkVv* lvSU* S>Ulv* lvVS* ylVS* tR, ,",
+"Rt& ,RtD t,cR ,Rt1 t,:R R1,D :,cR ,RtM tRM,& tRV, tcV,R tRl, t:Rl, lRV, uR,",
+" t*R t-R RDt* cRt- R1t* :Rt- t*R1D c-:R R*tM tR-M tRV* -RVt lRt* -Rlt t*VlR",
+" u-R ,RtE tR&,E ,RtH tcR,H tR1,E t:R,E tHR,1 t:H,R tRM,E M&EtR, tHV,R cRVtH",
+", ltR,E lt,:RE ltH,R ,RuH ,Rtd -Rtd RHt* gRt- tdR,1 t:d-R tH*R1 g:Rt- tdR,M",
+" t-RdM tH*VR V-gtR ltd,R l-tRd tH*lR g-uR ,Rt2 tR&,2 tRD,2 tcR,2 ,Rt5 t:R,5",
+" t5R,D tc5,R tRM,2 M&2tR, VtR,2 Vt,cR2 t5Rl, lt5:R, t5V,R ,Ru5 ,Rt; -Rt; t;",
+"R,D tc;-R R5t* -Rt> t5*RD c>Rt- t;R,M t-RM; t;V,R V-tR; t5*lR l-t>R t5VR* -",
+">uR tR,E2 ,R&tE2 tHR,2 cR,tH2 t5R,E :R,t5E tH5,R tH,cR5 ,RMtE2 M&tE,R2 V,Rt",
+"H2 V2tc,RH l,Rt5E lRt5:,E tHRV5, uRH,5 tdR,; t-Rd; tH;,R gt-R; t5d,R t>-Rd ",
+"tH5R* gt>-R ,Rdt;M -Rdt;M tHRV;, gtRV-; t5Rld, t>Rl-d tHRl;, u->gR tP, ,Pt&",
+" ,DtP t,cP ,1tP t,:P tP1,D t:Pc, St, t&S, VtS, S,tc l,St S,t: SVl, uS, tP* ",
+"t-P DPt* c-tP 1Pt* :-tP tP*1D t-P:c St* S-t t*SV StV- l*St Stl- St*Vl u-S ,",
+"RtW tWR,& ,HtP tcW,R tWR,1 t:W,R tHP,1 t:H,P S,tW StW,& S,tZ ScZt, Stl,W S:",
+"t,W lZ,St SZu, ,dtP -RtW HPt* gPt- tW*R1 t-W:R tHP1* gtP:- tWS* Sdt- S*tZ S",
+"-gt Stdl* l-StW tZ*Sl gSu- ,Rtm tmR,& tmR,D tcm,R ,5tP t:m,R t5P,D tc5,P tm",
+"S, Stm,& SV,tm Sct,m S,tp S:pt, Vp,St Spu, ,;tP -Rtm tm*RD t-mcR 5Pt* >Pt- ",
+"t5PD* t>Pc- tmS* S;t- St;V* V-mSt S*tp tpS- tp*SV S-up tWR,m ,RWtm& tHm,R t",
+"H,cRm t5W,R t5,:RW tH5,P tH,:Rm StW,m tWmS&, tZS,m tZmSc, tpS,W tpWS:, tZpS",
+", uZ,Sp vRt* tP-v tvR,H cvRt- tvR,1 :vRt- tH5P* :vRc- S*tv tvS- Vv,St V-vSt",
+" lvtS* l-vSt Vv,Sl y-uS X X! XB aX X. 8X X.B 8Xa XK XK! TX TXa Xj 8Xj TXj s",
+"X X( +X X(B +Xa X(. +X8 .BX( +8aX X(K +XK TX( +TX Xj( +Xj T(Xj sX+ GX GX! H",
+"X GaX GX. G8X HX. H8X GXK XKG! GTX TXGa GjX 8XGj HXj sGX dX +GX HXd gX dX. ",
+"8dX H.dX gX8 dXK GK+X TdX gXT dXj Gj+X dXHj gsX X2 X2! X2B aX2 5X 5X8 5XB 5",
+"aX X2K 2KX! TX2 T2aX 5Xj 58Xj 5TX sX5 X; +X; X;B aX; 5X; >X 5BX; >Xa X;K +K",
+"X; TX; T;+X X;j >Xj T;5X >Xs GX2 X2G! HX2 G2aX G5X 5XG8 H5X 5aHX X2GK GX2!K",
+" G2TX aX2GT 5XGj G58Xj 5THX G5sX G;X G;+X HX; gX; 5dX >XG 5dHX >Xg GKX; dXK",
+"+; TXG; TXg; dj5X Gj>X Td5X gs>X XP XP! XPB aXP XP. 8XP P.XB aX8P QX QX! QX",
+"T QaX QXj Q8X XjTP sXQ XP( +XP P(XB aX+P P(X. 8X+P XP(.B aXP+8 QX( +QX Q(TX",
+" Qa+X Q(Xj Q8+X Xj(TP +QsX Y Y! YH Ya Y. Y8 YH. Y8H YQ YQ! YZ YZa Yj Y8Q YZ",
+"j sY Yd Y+ YHd gY Yd. Y+8 HdY. gY8 YQd Y+Q YZd gYZ Yjd Y+j ZdYj sYg Xm Xm! ",
+"XmB aXm 5Xm 8Xm 5BXm aX5P QXm Q!Xm TXm aXTm pX pX8 pXT spX Xm; +Xm XB;P aX+",
+"m X;5P >Xm Xm;5B aX>P QX; QX+m TXQ; TX+m pX; >Xp TXp; sp>X Ym Ym! YHm Yam Y",
+"5 Y58 Y5H Y5a YQm Q!Ym YZm ZaYm Yp Yp8 YpZ sYp Yv Yv+ YvH gYv Yv5 Y> vHY5 Y",
+">g YvQ v+YQ YZv YZgv Ypv Y>p ZpYv yY X# X& X#B aX& X#. 8X& .BX# 8aX& X#K X&",
+"K TX# TX& Xj# X&j T#Xj sX& X#( +X& #BX( +aX& #(X. +8X& X#(.B aX&+8 #(XK +KX",
+"& X#T( T&+X j#X( X&+j Xj#T( +Xs& GX# G&X HX# HX& X#G. 8XG& X#H. 8XH& X#GK G",
+"KX& G#TX TXG& G#Xj X&Gj H#Xj G&sX dX# dX& H#dX gX& X#d. d&8X dX#H. 8Xg& X#d",
+"K dKX& T#dX TXg& d#Xj X&dj dXjH# g&sX X#2 X&2 2BX# X2a& 5X# 5X& X#5B aX5& 2",
+"KX# &2XK X#T2 T2X& 5#Xj Xj5& 5#TX 5Xs& X;# X;& ;#XB X&a; 5#X; >X& X;#5B aX>",
+"& ;#XK XK;& T#X; X;T& X#;j X&>j X;jT# >&sX X#G2 G2X& X#H2 H2X& G#5X 5XG& H#",
+"5X 5XH& GX#2K X&2GK GTX#2 GT&X2 Xj#G5 X&jG5 G5TX# sX5G& G#X; X;G& H#X; X;g&",
+" 5#dX G&>X H5Xd# >&gX dX#;K dX&;K GT;X# gXT;& dXj5# >XG&j X;jH# >Xgs& XP# X",
+"&P P#XB X&aP P#X. X&8P XP#.B aXP8& QX# QX& Q#TX TXQ& Q#Xj 8XQ& Xj#TP QXs& P",
+"#X( X&+P XP#(B aXP+& XP#(. X&P+8 P#(X.B +X8aP& X#Q( Q&+X QXT#( +QXT& Xj#Q( ",
+"X&j+Q TX#Pj( sX+Q& Y# Y& YH# Ya& Y#. Y8& H#Y. H8Y& YQ# Y&Q YZ# YZ& Yj# Y&j ",
+"ZjY# sY& Yd# Y+& HdY# gY& d#Y. 8dY& YHd#. g8Y& QdY# +QY& ZdY# Y&gZ djY# +jY",
+"& YZdj# Y&gs Xm# Xm& m#XB X&am 5#Xm Xm5& Xm#5B aXm5& Q#Xm XmQ& T#Xm XmT& pX",
+"# pX& TXp# p&sX X#;P X&+m Xm;#B aXm;& Xm;5# Xm>& 5X#;PB >Xam& Q#X; X;Q& QX;",
+"T# aX;Q& X;p# p&>X pXT;# >Xps& Ym# Y&m HmY# HmY& Y5# Y5& H5Y# H5Y& QmY# Q&Y",
+"m ZmY# YmZ& Yp# Yp& Y#Zp Y&sp Yv# Yv& vHY# Y&gv v5Y# Y>& YvH5# Y&g> vQY# YQ",
+"v& Y#Zv ZvY& Y#pv pvY& YZvp# yY& IX IX! DX DXa IX. 8IX DX. D8X IXK I!XK DXT",
+" aITX IjX Ij8X DXj sIX IX( +IX DX( +DX X(I. 8I+X X(D. D8+X X(IK IX+K D(TX D",
+"X+T I(Xj Ij+X D(Xj +DsX GIX IXG! JX JaX IXG. GI8X JX. J8X IXGK GIX!K JTX TX",
+"Ja GIXj IjXG8 JjX sJX IdX Id+X JdX gJX I.dX Id8X dXJ. J8gX IXdK IdX+K TdJX ",
+"JTgX dXIj Idj+X dXJj gXsJ IX2 I!X2 DX2 I2aX 5IX 8I5X 5DX D85X X2IK IX2!K I2",
+"TX aX2TI Ij5X IjX58 DX5T 5DsX I;X I;+X DX; D;+X I;5X >XI D;5X >XD IKX; I;X+",
+"K TXD; aX;TI X;Ij Ij>X X;Dj sI>X IXG2 GIX!2 JX2 aXJ2 GI5X G58IX J5X 5aJX GI",
+"X2K IX2GK! TXJ2 JTaX2 IjXG5 G58IjX 5TJX J5sX dXI; IdX+; J;X J;gX Id5X Id>X ",
+"5dJX J>X IdX;K +GIX;K TXJ; gJTX; Idj5X >IjdX X;Jj >XsJ IP IP! DXP aIP IP. 8",
+"IP D.IP 8IDP QIX Q!IP QDX DXQa IPj 8IQX DjQX sIP IP( +IP D(IP DX+P P(I. 8I+",
+"P IP(D. +DX8P Q(IP QI+X Q(DX QD+X I(Pj IP+j IPjD( +IsP YI YI! YJ YJa YI. Y8",
+"I YJ. YJ8 YQI QIY! YZJ ZJYa YjI Q8YI YJj sYJ YId Y+I YJd gYJ IdY. +IY8 JdY.",
+" Y8gJ QIYd +QYI YdZJ YZgJ IdYj +IYj YdJj sJgY ImX I!Xm DXm aXDm 5IP 8I5P DX",
+"5P 8XDm ImQX ImXQ! DmQX aXmQD pIX 8IpX pDX pDsX I;P Im+X I;DP DX+m I;5P >PI",
+" I;P5D DX>P I;QX I;P+Q DXQ; aX;QD I;pX pI>X DXp; sI>P YIm ImY! YJm JmYa Y5I",
+" 5IY8 YJ5 J5Y8 QIYm YQIm! JmYZ YZJam YpI pIY8 JpY JpsY YvI vIY+ JvY JvgY vI",
+"Y5 Y>I Y5Jv Y>J YQvI Yv+QI YZJv gYZJv pIYv pIY> JvYp yJY bX bX& bXD cX bX. ",
+"b8X b.DX cX8 bXK bKX& bTX cXT bXj 8Xbj DXbj scX bX( b+X b(DX cX+ X(b. +Xb8 ",
+"bXD(. +Xc8 X(bK bK+X b(TX +TcX b(Xj +Xbj bTXj( s+cX bGX G&bX JbX cJX GXb. G",
+"8bX bXJ. J8cX GXbK I&KGX bTJX JTcX GjbX I&jGX bXJj cJsX bdX +GbX bdJX gcX b",
+".dX 8dbX JbdX. g8cX bKdX dX&bK TdbX gTcX dXbj IdjX& JjbdX scgX bX2 b2X& b2D",
+"X cX2 b5X 5Xb8 5DbX c5X X2bK I&2XK b2TX TXc2 5Xbj I&j5X 5TbX c5sX bX; +Xb; ",
+"DXb; cX; 5Xb; >Xb b5XD; c>X bKX; I;&XK TXb; TXc; X;bj bX>j X;jbT sc>X GXb2 ",
+"I&2GX bXJ2 JXc2 G5bX bG58X b5JX J5cX bGX2K bG2X&K JbTX2 cJTX2 bG5Xj bG5X&j ",
+"J5bTX sJc5X G;bX I;&dX bXJ; c;gX 5dbX bG>X J5bdX gc>X bG;XK IdKX;& J;bTX cJ",
+";TX dXjb5 >XbGj J;jbX J>scX bXP IP& DXbP cXP b.IP 8IbP IP.bD 8IcP bQX Q&bX ",
+"QDbX cQX QXbj Q8bX IPjbT cQsX b(IP +IbP IP(bD +IcP IP(b. IP&+8 DX(bP. cX+8P",
+" b(QX +QbX bQXD( +QcX IPjb( IP&+j Ij(bTP sIPc+ Yb Yb& YJb Yc Yb. Yb8 JbY. Y",
+"c8 YbQ bQY& YZb YcZ Ybj bQY8 ZbYj sYc Ybd Yb+ JbYd Ycg bdY. b+Y8 YJbd. Y8gc",
+" bQYd b+YQ YdZb ZcgY bdYj b+Yj YZbdj gsYc bXm XmI& DXbm cXm 5IbP 8Xbm b5XDm",
+" 5IcP QXbm Im&QX TXbm QXcm pbX b8pX bTpX cpX I;bP +Xbm I;PbD +Xcm I;Pb5 bX>",
+"P 5DXb;P cX>P QXb; I;PQ& I;PbT QXc; bXp; pb>X pbXD; >Xcp Ybm bmY& JmYb Ycm ",
+"Yb5 b5Y8 J5Yb Yc5 bQYm YbQm& YmZb cmYZ Ypb pbY8 YbJp Ycp Yvb vbY+ YbJv Ycv ",
+"vbY5 Y>b YJ5vb Yc> YQvb Yvb+Q ZvYb YZcv pvYb p>Yb JpYvb yYc X0 X0! X0B aX0 ",
+"1X 1X8 1XB 1aX X0K !KX0 TX0 T0aX 1Xj 18Xj 1TX sX1 X0( +X0 0BX( +0aX 1X( 1+X",
+" X(1B +X1a 0(XK X0+K X0T( +0TX 1(Xj +j1X 1(TX 1+sX GX0 X0G! HX0 G0aX 1GX G8",
+"1X 1HX Ga1X X0GK GX0!K G0TX aX0GT Gj1X 1G8Xj GT1X 1GsX dX0 +0dX H0dX gX0 1d",
+"X +G1X HX1d g1X X0dK dX0+K T0dX TXg0 dj1X dXj1+ Td1X sXg1 X02 !0X2 2BX0 X2a",
+"0 1X5 158X 1B5X 5a1X 2KX0 X02!K X0T2 aX0T2 15Xj 1X58j 5T1X 1Xs5 X;0 +0X; ;0",
+"XB a0X; 1X; >X1 1BX; 1a>X ;0XK X;0+K T0X; aX;T0 Xj1; 1X>j TX1; s1>X X0G2 GX",
+"0!2 X0H2 aX0G2 G51X 1G58X H51X 1Ga5X GX02K X02GK! GTX02 GT0aX2 1G5Xj G581Xj",
+" 1GT5X sX1G5 G0X; dX0+; H0X; X;g0 G;1X 1G>X HX1; g1>X dX0;K +G0X;K GT;X0 gX",
+"T;0 dXj1; >X1Gj X;j1H >Xgs1 XP0 X!P0 P0XB XPa0 1XP 8X1P XP1B aX1P QX0 X0Q! ",
+"Q0TX Q0aX 1QX Q81X QX1T 1QsX P0X( XP+0 XP0(B aXP+0 XP1( +X1P 1XP(B 1+XaP X0",
+"Q( +0QX QXT0( +QXT0 1(QX +Q1X 1QXT( sX1+Q Y0 Y0! YH0 Ya0 Y1 Y18 Y1H Y1a YQ0",
+" Q!Y0 YZ0 ZaY0 Y1Q 1QY8 YZ1 sY1 Yd0 Y+0 HdY0 gY0 Y1d Y1+ 1HYd gY1 QdY0 +QY0",
+" ZdY0 g0YZ 1QYd 1+Yj YdZ1 g1sY Xm0 X!m0 m0XB a0Xm 1Xm 8X1m 1BXm aX1m Q0Xm X",
+"m0Q! T0Xm aXmQ0 pX1 1Xp8 1TpX s1pX X0;P +0Xm Xm;0B aXm+0 Xm1; 1X>P 1Xm;B >X",
+"1am Q0X; +QXm0 QX;T0 aX;Q0 1Xp; p1>X pX1T; >Xps1 Ym0 m0Y! HmY0 amY0 Y15 1mY",
+"8 1HY5 1aY5 QmY0 YQm!0 ZmY0 YZam0 Yp1 p1Y8 ZpY1 Y1sp Yv0 v+Y0 vHY0 g0Yv Yv1",
+" Y>1 YHv1 g1Y> vQY0 Yv+Q0 Y0Zv gYZv0 pvY1 p>Y1 ZvY1 yY1 9X 9X& 9XB 9aX 9X1 ",
+":X 1B9X :Xa 9XK 9KX& 9TX TX9a 9Xj :Xj 1T9X s:X 9X( 9+X X(9B +X9a 9(1X :X+ 9",
+"X1(B +X:a X(9K 9K+X 9(TX +T9X 9(Xj +X:j 9TX1( s+:X 9GX G&9X 9HX Ga9X 1G9X :",
+"GX 1H9X :HX GX9K X&K9G GT9X 9GTaX Gj9X Gj:X HX9j :GsX 9dX +G9X HX9d g9X 1d9",
+"X :dX 9HX1d g:X 9KdX dX&9K Td9X 9TgX dX9j dX:j dXj9H s:gX 9X2 92X& X29B 92a",
+"X 95X :X5 9B5X 5a:X X29K X&29K 92TX 9TX&2 5X9j 5X:j 5T9X s5:X 9X; +X9; 9BX;",
+" aX9; 1X9; >X: 95X;B :a>X 9KX; X;&9K TX9; aX;9T X;9j >j:X X;j9T s:>X GX92 X",
+"&29G 92HX 9GaX2 G59X G5:X H59X H5:X 9GX2K 9G2X&K 9GTX2 aX29GT 9G5Xj :G5Xj 9",
+"G5TX :HXs5 G;9X dX&9; HX9; 9Xg; 5d9X :G>X 9H5dX >Xg: 9G;XK d&K9X; 9GTX; g9X",
+"T; dXj95 :>GXj X;j9H g:Xs> 9XP X&9P XP9B aX9P 1X9P :XP 9X1PB aX:P 9QX Q&9X ",
+"QX9T Qa9X 1Q9X :QX 9QX1T :QsX XP9( +X9P 9XP(B 9+XaP 9X1P( +X:P 1X(9PB :X+aP",
+" 9(QX +Q9X 9QXT( 9+QTX 9QX1( +Q:X Xj(9TP :QXs+ Y9 Y9& Y9H Y9a Y91 Y: 9HY1 Y",
+":H Y9Q 9QY& YZ9 Z9Ya Y9j Y:Q Z9Y1 sY: Y9d Y9+ 9HYd gY9 9dY1 Y:+ Y91Hd Y:g 9",
+"QYd 9+YQ YdZ9 YZg9 9dYj :QY+ YZ91d gYZ: 9Xm X&9m 9BXm aX9m 1X9m :Xm 95XmB a",
+"X:m QX9m Xm&9Q TX9m aXm9Q p9X :pX 9TpX sX:p Xm9; +X9m 9Xm;B aXm9+ 95X;P :X>",
+"P X;B95P :Xm>a QX9; X;&9Q 9QXT; aX;9Q 9Xp; >X:p p9XT; :pXs> Y9m 9mY& 9HYm 9",
+"aYm Y95 Y:5 9HY5 :HY5 9QYm Y9Qm& YmZ9 YZ9am Yp9 Y:p ZpY9 YpZ: Yv9 v9Y+ YHv9",
+" Yvg9 v9Y1 Y:v Yv91H gY:v YQv9 Yv9+Q ZvY9 gY9Zv pvY9 Yp:v Yp9Zv yY: IX0 I!X",
+"0 DX0 D0aX 1IX 8I1X 1DX D81X X0IK IX0!K D0TX aX0TI Ij1X IjX18 DX1T 1DsX X0I",
+"( IX+0 X0D( +0DX IX1( +I1X 1(DX +D1X IX0(K +IX0K DXT0( +DXT0 IjX1( 1+IXj 1D",
+"XT( sI1+X IXG0 GIX!0 JX0 aXJ0 GI1X 1G8IX J1X 1aJX GIX0K IX0GK! TXJ0 JTaX0 I",
+"jX1G 1G8IjX 1TJX J1sX I0dX IdX+0 dXJ0 JXg0 Id1X 1+GIX 1dJX J1gX IdX0K +I0dX",
+"K JTdX0 gJTX0 Idj1X 1+IdXj J1TdX sJg1X X0I2 IX0!2 X0D2 aX0I2 5I1X 1I58X 5D1",
+"X 1DX5a IX02K X02IK! DXT02 TI0aX2 IjX15 5I81Xj 1DX5T sI15X I0X; I;X+0 D0X; ",
+"aX;D0 I;1X 1I>X DX1; 1D>X I;X0K +I0X;K DX;T0 aX0TI; I;j1X >I1Xj X;j1D >Xs1D",
+" GIX02 IX0G2! X0J2 JaX02 1G5IX G581IX 1XJ5 J158X IX0G2K I!X2G0K JTX02 aX0JT",
+"2 1G5IjX Ij1XG58 J15TX sJ15X IdX;0 +GIX;0 X;J0 gJX;0 1G;IX >I1dX 1XJ; J1>X ",
+"dX0I;K Id+X;0K J;TX0 gXTJ;0 1IdX;j Idj>X1 J1;TX J>s1X IP0 I!P0 D0IP a0IP 1I",
+"P 8I1P DX1P aI1P Q0IP IP0Q! Q0DX QDXa0 QI1X IPj18 QD1X 1IsP P0I( +0IP IP0D(",
+" +DXP0 1(IP +I1P 1DXP( 1+DIP IP0Q( +QIX0 QDX0( +QDX0 IPj1( IPj1+ 1QDX( sIP1",
+"+ YI0 I0Y! YJ0 JaY0 Y1I 1IY8 YJ1 J1Y8 QIY0 YQI!0 Y0ZJ YZJa0 1QYI Y1Q8I ZJY1",
+" Y1sJ IdY0 +IY0 JdY0 g0YJ 1IYd 1+YI YdJ1 YJg1 YQId0 Y+QI0 YZJd0 gYZJ0 Y1QId",
+" Y1+QI YZ1Jd gY1sJ I0Xm ImX!0 D0Xm aXmD0 5I1P 1Im8X DX1m aXm1D ImXQ0 QI0Xm!",
+" QDXm0 aX0TIm 1IpX pI81X 1DpX sIPp1 I0;P I;P+0 I;PD0 a;PI0 I;1P 1I>P I;P1D ",
+">XD1m I;PQ0 Im0+QX I;PT0 aX0QD; pI1X; >Xp1I pDX1; sIP>1 ImY0 YIm!0 Y0Jm YJa",
+"m0 1IY5 Y158I J1Y5 YJ15a YQIm0 Im0YQ! YZJm0 ZJmYa0 pIY1 Yp18I Y1Jp JpsY1 Y0",
+"vI Yv+I0 Y0Jv gYJv0 vIY1 >IY1 Y1Jv Y1J> YvQI0 vIQY+0 YZvJ0 JvZgY0 Yv1pI Y>p",
+"1I JpYv1 YJy1 bX9 I&9X 9DX cX9 b1X :IX 1DbX :cX bK9X I&K9X 9TbX 9TcX 9Xbj b",
+"X:j 1TbX :csX b(9X 9+bX 9(DX 9+cX b(1X b+:X b1XD( :+cX bX9(K b+X9K bTX9( cX",
+"9+T b1Xj( :I+Xj b1TX( :cXs+ 9GbX bG9X& J9X J9cX 1GbX bG:X b1JX :JX bG9XK bG",
+"9X&K 9TJX cJ9TX b1GXj :GbXj 9XJj sX:J 9dbX dX&9I 9dJX cXg9 1dbX bd:X J91dX ",
+"gX:J bdX9K IdK9+X J9TdX gJ9TX Idj9X :IdXj J9jdX g:XsJ b29X I&29X 92DX 9Xc2 ",
+"95bX b5:X 5D9X c5:X bX92K 9I2X&K bTX92 cX9T2 b1X5j :I5Xj b1T5X :cXs5 9Xb; I",
+";&9X DX9; 9Xc; 1Xb; :I>X b1XD; :c>X bX;9K I;K9+X bTX9; cX;9T I;j9X :>IXj X;",
+"j9D c>Xs: bG9X2 bG9X&2 9XJ2 cJ9X2 b1G5X :Gb5X 95JX J5:X 9G2bXK bK9GX&2 J9TX",
+"2 J9TcX2 9G5bXj bG5:Xj J95TX :Js5X bG;9X 9+GbX; 9XJ; cJ;9X b1GX; :>GbX J95d",
+"X >X:J IdK9X; X;G&9IK J9;TX cXTJ9; b1GX;j >Ij:dX J9;Xj :J>sX 9IP I&9P DX9P ",
+"9IcP 1IbP :IP b1XDP cX:P 9QbX IP&9Q QD9X 9QcX 1QbX bQ:X IPj9D :IsP 9(IP +I9",
+"P 9DXP( cX9+P b1XP( +I:P b1DIP( :cX+P bQX9( b+Q9X 9QDX( cQX9+ IPj9( :QI+X I",
+"P(b1T sIP:+ Yb9 9IY& YJ9 Yc9 Yb1 Y:b J9Y1 Y:J bQY9 Yb9Q& ZJY9 Y9Zc b1Yj :QY",
+"b ZbY1 Z:Yc bdY9 b+Y9 YdJ9 g9Yc b1Yd :IY+ YJ91d gY:J Yb9Qd Yb+9Q YZb9d gY9Z",
+"c Yb1Qd Y:b+Q YZb1d sY:gJ 9Xbm Im&9X DX9m 9Xcm 1Xbm bX:m b1XDm cX:m bQX9m 9",
+"QIXm& bTX9m cQX9m b1pX pb:X 9DpX :Xcp I;9P I;P9+ I;P9D cXm9+ I;Pb1 :I>P 95D",
+"I;P c>X:m I;P9Q 9+QI;P I;P9T cQX9; pbX9; :pI>X p9DX; cpX:> bmY9 Yb9m& JmY9 ",
+"cmY9 b1Y5 :IY5 J9Y5 Y5:J Yb9Qm Im&Y9Q YZb9m YcZ9m pbY9 Yb:p Y9Jp cpY: vbY9 ",
+"Yvb9+ Y9Jv Y9cv vbY1 Yb:v Jv9Y1 :JY> Yvb9Q Y9QvI& Jv9YZ YcvZ9 Ypbv9 :vIYp J",
+"p9Yv Y:yJ RX RX! RXB RaX RX. R8X X.RB 8XRa XM XM! RTX aXM RjX 8XM TXRj sRX ",
+"RX( R+X X(RB +XRa X(R. +XR8 RX(.B R+8aX XM( +XM R(TX +XRT R(Xj +XRj XM(Tj R",
+"+sX RG RG! RGH RGa RG. RG8 R.HX G8RH RGM R!GM RGT GTRa RGj G8Rj GTRj sRG RG",
+"d R+G HXRd gRG R.dX +GR8 dX.RH RGg8 dXM +MRG GTRd gXM GjRd +GRj dXMHj sRgX ",
+"RX2 X2R! X2RB R2aX R5X 5XR8 RB5X 5XRa XM2 M!X2 R2TX X2aM 5XM 8X5M 5XRT R5sX",
+" R;X +XR; RBX; aXR; 5XR; >XR X;BR5 Ra>X XM; X;+M TXR; XMa; X;Rj >XM XM;5T s",
+"R>X RG2 G2R! R2HX R2Ga RG5 G5R8 G5RH G5Ra R2GM XM2G! R2GT aXMG2 G5Rj RG58M ",
+"G5RT RGs5 RG; +GR; G;RH RGg; G5Rd >RG RG5H; gR>X GMR; dXM+; GTR; XMg; G;Rj ",
+"RG>M dXMH5 gX>M RXP XPR! XPRB RXaP XPR. RX8P RXP.B aXPR8 SX S!X STX SaX SXj",
+" S8X TXSj SsX XPR( RX+P RXP(B aXPR+ RXP(. R+8XP XP(R.B R+8aXP SX( S+X TXS( ",
+"+TSX XjS( +XS8 STXj( S+sX YR YR! YRH YaR YR. Y8R RHY. RHY8 SY SY! SZY SYa S",
+"Yj SY8 YjSZ sYS YRd Y+R RHYd gYR RdY. R+Y8 YRHd. Y8gR SYd SY+ YZSd gSY YjSd",
+" Y+S8 SZYdj sYgS RmX R!Xm RBXm aXRm 5XRm 8XRm XmBR5 aXmR5 SXm XmS! TXSm aXS",
+"m SpX pXS8 STpX sXSp XmR; +XRm Xm;RB aXmR+ Xm;R5 Rm>X R5X;PB >XRam S;X +XS;",
+" TXS; aXS; pXS; S>X SpTX; >XSs YRm RmY! RHYm RaYm Y5R R5Y8 RHY5 R5Ya SYm Ym",
+"S! SmYZ SmYa YpS S8Yp SZYp YpSs YvR vRY+ YHvR YvgR vRY5 Y>R YvRH5 gRY> SvY ",
+"YvS+ YZSv SvgY YpSv S>Y SZpYv yYS RX# R&X X#RB aXR& X#R. 8XR& RX#.B aX&R8 X",
+"M# XM& R#TX TXR& R#Xj X&Rj XM#Tj R&sX X#R( +XR& RX#(B aX&R+ RX#(. R+8X& X#(",
+"R.B R+8aX& M#X( X&+M XM#T( aXM+& XM#j( XM&+j RT#Xj( sX+R& RG# RG& R#HX GaR&",
+" G#R. G8R& RGH#. RG8H& R#GM GMR& R#GT GTR& R#Gj G&Rj RGTj# RGs& R#dX +GR& d",
+"X#RH RGg& dX#R. dX&R8 RH#dX. gRG8& d#XM XMd& dXMH# XMg& dXMj# dXM&j dX#RHj ",
+"gsRG& X#R2 R2X& RX#2B aX&R2 R#5X 5XR& R5X#B R5aX& M#X2 X2M& XM#T2 aXM&2 5#X",
+"M XM5& R5TX# sX5R& R#X; X;R& X;#RB aX;R& X;#R5 R&>X R5#X;B >XRa& X#M; M;X& ",
+"XM;T# aXM;& XM;5# XM>& X;#R5T >XsR& G#R2 R2G& RGH#2 RGa&2 R#G5 G5R& RG5H# R",
+"G5H& XM#G2 XM&G2 RGT#2 XM&H2 RG5M# XM&G5 RG5T# sRG5& R#G; G;R& RG;H# gRG;& ",
+"RG5d# RG>& dX#RH5 >XgR& dXM;# dXM;& XM;H# gXM;& dXM5# >XMG& dX#R5T >XgM& XP",
+"R# RXP& RXP#B aXPR& RXP#. X&PR8 XP#R.B R8aX&P SX# S&X TXS# TXS& XjS# 8XS& S",
+"TXj# S&sX RXP#( X&PR+ XP#R(B R+aX&P XP#R(. R+8X&P .BR(XP# aXR&+P8 X#S( +XS&",
+" STX#( S+TX& SXj#( S+8X& Xj#ST( Ss+X& YR# Y&R RHY# RHY& R#Y. R8Y& YRH#. Y8R",
+"H& SY# SY& S#YZ YZS& S#Yj Y8S& SZYj# S&sY RdY# R+Y& YRHd# Y&gR YRd#. Y+R8& ",
+"RHdY#. gYR8& YdS# Y+S& SZYd# S&gY SYdj# SY+&j YZjSd# gSsY& R#Xm XmR& Xm#RB ",
+"aXmR& Xm#R5 Xm&R5 R5#XmB R5aXm& XmS# XmS& STXm# SaXm& S#pX pXS& SpTX# Sp&sX",
+" Xm;R# Xm&R+ Rm#X;B RamX;& R5X;P# >XRm& 5#XmR;B aXm>R& X;S# X;S& S;TX# Sa;X",
+"& SpX;# S&>X pXTS;# S>sX& RmY# RmY& YRHm# YaRm& R5Y# R5Y& Y5RH# Y5aR& YmS# ",
+"SmY& SZYm# SZ&Ym S#Yp S&Yp SZpY# Yp&Ss Y#vR vRY& YvRH# gYvR& YvR5# >RY& vRH",
+"Y5# Y>gR& S#Yv YvS& YZvS# Sv&gY SvpY# S&Y> YpZSv# SYy& [ [! [D [a [. [8 [D.",
+" [8D [M [!M V[ V[a [j [8M V[j [s [( [+ [D( [+D [(. [+8 D([. +D[8 [M( [+M V[",
+"( V[+ [j( [+j V([j [s+ [G [!G [J [Ja [G. [8G [J. J8[ [GM GM[! VJ[ [aVJ [jG ",
+"G8[j Jj[ [sJ [d [+G [Jd g[ [d. [8d J.[d g[8 [dM +G[M V[d g[V [dj +G[j [dJj ",
+"g[s [2 [!2 [D2 [a2 [5 [58 [5D [5a [M2 M2[! V[2 V2[a [5M 5M[8 V[5 [s5 [; [+;",
+" [;D [a; [5; [> 5D[; [>D [;M +M[; V[; [+V; [;j [>M [5V; V>[ [G2 G2[! [J2 J2",
+"[a [5G G5[8 J5[ [5J8 GM[2 [!GM2 V2[J VJ[a2 G5[j [5G8M V[J5 J5[s [d; +G[; J;",
+"[ g[; [5d [>G [5J; g[> GM[; [+GM; V[J; V;g[ G;[j [d>M [5Vd V>g[ [P [!P [DP ",
+"[aP [P. [8P DP[. D8[P S[ S[! SV[ S[a S[j S[8 [jSV [sS [P( [+P DP[( +D[P P([",
+". +P[8 [DP(. [+D8P S[( S[+ S(V[ V[S+ S([j [+S8 SV[j( S+[s [Y [Y! YJ[ Ya[ [Y",
+". Y8[ Y.[J [JY8 S[Y S![Y ] ]a Yj[ Y8S[ ]j ]s [Yd Y+[ [dYJ g[Y Y.[d [+Y8 YJ[",
+"d. Y8g[ S[d Y+S[ ]d ]g [dYj [+Yj ]jd ]gs [m [m! [mD [am [5m [8m 5D[m 5a[m S",
+"[m S![m V[m [aVm [p [p8 [pV [ps [m; [+m Dm[; +D[m 5P[; [>m [5D;P [a>P S[; [",
+"+S; V[S; [+Vm [p; S>[ V;[p [pV> [Ym Ym[! Jm[ [aJm Y5[ [5Y8 [JY5 [5Ya [mSY S",
+"[Ym! ]m ]am [pY Y8[p ]p ]ps [v [v+ [vJ g[v [v5 Y>[ J5[v Y>g[ [vS S+[v ]v ]g",
+"v [pv [pY> ]pv ]y [b [& [bD [c [b. [8b bD[. [c8 [bM [&M V[b [cV [jb [&j Vb[",
+"j [sc [b( [+b bD[( [c+ b([. b+[8 [bD(. c+[8 bM[( b+[M [bV( V+[c bj[( b+[j V",
+"[bj( [+sc [bG [&G [Jb [cJ bG[. bG[8 [bJ. J8[c bG[M GM[& JbV[ VJ[c bG[j G&[j",
+" Jb[j [csJ [db [d& Jb[d g[c bd[. b8[d [Jbd. [8gc bd[M dM[& Vb[d [cgV bd[j d",
+"&[j Jj[bd gs[c [b2 [&2 bD[2 [c2 [5b [5& b5[D [c5 bM[2 M&[2 [bV2 V2[c b5[j 5",
+"M[& Vb[5 c5[s [;b [;& b;[D [c; b5[; [>b [5bD; [>c bM[; M;[& Vb[; V[c; b;[j ",
+"[&>M V[5b; c>[s bG[2 G&[2 [bJ2 c2[J bG[5 G5[& Jb[5 J5[c [bGM2 [&GM2 VJ[b2 [",
+"cJV2 [5bGM [5&GM J5V[b [sJc5 bG[; G;[& Jb[; c;g[ b5[d >b[d J5[bd c>g[ [dbM;",
+" [d&M; J;V[b g[Vc; [5dbM [>bGM J;[bj J>V[c [bP [&P bP[D [cP bP[. b8[P [bDP.",
+" [8cP S[b S[& V[Sb Sc[ [jSb [8Sb SV[bj [sSc bP[( b+[P [bDP( [+cP [bP(. [+b8",
+"P bPD[(. [c+8P [bS( [+Sb SV[b( S+[c S[bj( S[+b8 V[jSb( [scS+ Yb[ Y&[ [JYb Y",
+"c[ [bY. [8Yb YJ[b. Y8[c SYb YbS& ]b ]c YjSb YbS8 ]jb ]sc [dYb [+Yb YJ[bd Yc",
+"g[ Yb[d. Yb+[8 [JdYb. g[Yc8 YbSd YbS+ ]bd ]gc S[dbj S[8bd bd]j gs]c [mb [m&",
+" bm[D [cm b5[m b8[m [5bDm [5cm [mSb [mS& Vb[m cmS[ [pb [p& pbV[ cp[ bm[; b+",
+"[m [mbD; [+cm [5b;P [&>P b5P[;D >P[c [;Sb [;S& SV;[b S;[c [;pb Sb[> [pVb; [",
+">Sc [mYb [mY& Jb[m Jm[c [5Yb [5Y& YJ5[b Y5[c SmYb S[&Ym ]bm ]cm SbYp Y&[p ]",
+"pb ]pc [vb [v& vb[J cv[ [5vb Yb[> [vJb5 [>Yc Sb[v S&[v ]vb ]cv pb[v SbY> pv",
+"]b ]yc kX kX! kXB akX R1X 8kX RB1X 1XRa kXM M!kX TkX akTX lX lX8 lXT lsX kX",
+"( +kX X(kB ak+X R(1X 1XR+ kX(1B akX1+ k(XM kX+M T(kX Tk+X lX( l+X TXl( sXl+",
+" RGk R!Gk HkX GkRa R1G 1GR8 1GRH 1GRa kXGM kXMG! GkRT akXGT lGR RGl8 lHX sR",
+"lG dkX +kRG dkHX gkX 1GRd 1+RG dkX1H R1gX kXdM dkX+M dkTX TkgX ldX R+lG HXl",
+"d glX kX2 X!k2 X2kB k2aX 5kX 8k5X 5BkX ak5X k2XM kXM!2 T2kX akXT2 lX5 5Xl8 ",
+"5TlX l5sX kX; k;+X kBX; kXa; 1XR; >kX kX;1B ak>X XMk; kX;+M kXT; akXT; lX; ",
+"l>X TXl; >Xls R2Gk kX2G! H2kX akXG2 1GR5 R1G58 5kHX akXG5 kXMG2 Gk2XM! RGTk",
+"2 ak2RGT RGl5 lGR58 H5lX lsGR5 GkR; dkX+; kXH; kXg; 1GR; R1>G dkXH5 gk>X dk",
+"XM; +GkXM; dkXT; gkXT; RGl; lG>X HXl; >Xgl kXP X!kP XPkB kXaP kX1P kX8P kXP",
+"1B akX1P SkX kXS! TkSX akSX lXS S8lX STlX lXSs XPk( kX+P kXP(B akX+P kXP1( ",
+"R1+XP 1X(kPB 1+XakP kXS( +kSX STkX( S+TkX SXl( S+lX SlTX( Ssl+X Yk Yk! YkH ",
+"Yak Y1R Y8k R1YH R1Ya SYk S!Yk YZk YkSa lY lY8 lYZ lYs Ykd Y+k HkYd gYk R1Y",
+"d R1Y+ Y1RHd Y1gR YkSd YkS+ YdZk SYgk lYd lY+ YZld glY kXm X!km kBXm kXam 1",
+"XRm kX8m kXm1B akX1m kXSm kXmS! kXTm SakXm lXp l8pX lTpX splX Xmk; kX+m kXm",
+";B akX+m kXm1; kX>P kXB1;P >kXam kXS; S+kXm S;TkX Sa;kX S;lX lXS> lXpT; l>X",
+"Ss Ykm kmY! HkYm akYm Y5k 5kY8 H5Yk 5aYk SmYk SYkm! YmZk SYakm lYp lpY8 lZY",
+"p lsYp Yvk vkY+ YHvk Yvgk vRY1 Y>k Yv1RH >kgY YkSv SY+vk ZvYk gYkSv lYv lY>",
+" YZlv ylY R9X kX& RB9X 9XRa 9XR1 :RX kXB91 Ra:X 9XM XMk& 9XRT aX9M lX9 l:X ",
+"9TlX s:lX R(9X 9XR+ kX(9B akX9+ kX(91 R+:X 9X(R1B :R+aX 9(XM +X9M R9TX( aXM",
+"9+ 9Xl( :Xl+ lX9T( lsX:+ R9G 9GR& 9GRH 9GRa 9GR1 :RG R9G1H RG:H 9MRG kX&GM ",
+"9GRT aXM9G R9lG :RlG 9HlX :RsG 9GRd 9+RG dkX9H R9gX dkX91 R+:G 9HXR1d :RgX ",
+"dX9M dkXM& dkX9T 9XgM 9dlX :dlX lHX9d lXg: R29X k2X& kX29B akX92 9XR5 R5:X ",
+"R95XB :R5aX 92XM kX&M2 R9TX2 aXM92 95lX l5:X lX95T lsX:5 9XR; X;k& kX;9B ak",
+"X9; kX;95 :R>X k;B95X :>RaX XM9; kX;M& kX;9T aXM9; 9Xl; l:>X lX;9T l>Xs: R2",
+"9G kX&G2 R9GH2 kX&H2 9GR5 RG:5 R9GH5 :RGH5 R9GM2 kX2GM& R9GT2 aX29GM lGR95 ",
+":RGl5 lHX95 :RGs5 9GR; dkX;& kX;9H gR9G; dkX95 >R:G 9G5RH; g:R>X dXM9; kX;d",
+"M& XM;9H g9XM; lG;R9 l>G:R lHX9; glX:> kX9P X&kP kXP9B akX9P kXP91 kX:P 9X1",
+"kPB :RaXP S9X 9XS& 9TSX 9aSX S9lX S:X Sl9TX sXS: kXP9( kX&+P 9X(kPB 9+XakP ",
+"9X1kP( :R+XP kX9P1(B akX:P+ 9XS( 9+SX S9TX( S9+TX Sl9X( :XS+ lXTS9( S:s+X Y",
+"9R Yk& R9YH R9Ya R9Y1 Y:R Y9R1H :RYa SY9 Y9S& YZS9 Y9Sa lY9 lY: Y9lZ S:sY R",
+"9Yd R9Y+ Y9RHd Y9gR Y9R1d :RY+ R9HY1d gRY: Y9Sd Y9S+ SZ9Yd SYg9 Y9ld l+Y: l",
+"YZ9d Y:gl 9XRm Xmk& kXm9B akX9m kXm95 Rm:X kXB95P :RmaX 9XSm S9Xm& S9TXm S9",
+"aXm p9lX lX:p Sp9TX :pXSs kXm9; kXm9+ kXB9;P kX&a;P 95Xk;P :>RXm 1;9PkXB :X",
+"a>kP 9XS; S9+Xm S9;TX S9aX; Sp9X; >XS: S9TlX; S:>sX R9Ym kmY& Y9RHm Y9aRm R",
+"9Y5 :RY5 Y95RH Y:RH5 SmY9 SY9m& SZ9Ym SY9am S9Yp YpS: Yp9lZ lYs:p vRY9 vkY&",
+" Yv9RH gY9vR Yv9R1 >kY: Y9HvR1 :vRgY YvS9 Sv9Y+ Sv9YZ gS9Yv Y9lv Y:lv lYvZ9",
+" lYy: [k [!k [Dk [ak [1 [18 [1D [1a [kM kM[! V[k Vk[a [l [l8 [lV [sl [k( [+",
+"k Dk[( +D[k [1( [1+ 1D[( 1+[a kM[( +k[M [kV( Vk[+ [l( [l+ l(V[ l+[s [Gk Gk[",
+"! Jk[ [aJk [1G 1G[8 J1[ [1J8 Gk[M [!GkM V[Jk JkV[a [lG [8lG lJ[ lJ[s [dk +G",
+"[k [dJk g[k [1d 1+[d [dJ1 g[1 dk[M [+GkM Vk[d V[gk [ld [+lG V[ld gl[ [k2 k2",
+"[! Dk[2 ak[2 [15 5k[8 1D[5 1a[5 kM[2 [!kM2 [kV2 V[ak2 [l5 l5[8 V5[l [5ls [;",
+"k +k[; Dk[; ak[; [1; [>1 1D[; [a>k k;[M [+kM; Vk[; V[+k; [l; [>l V[l; l>[s ",
+"Gk[2 [!Gk2 [kJ2 Jk[a2 1G[5 [1G58 [1J5 J1[5a [GkM2 GkM[!2 JkV[2 V[aJk2 [5lG ",
+"[lG58 J5[l [slJ5 Gk[; [+Gk; [;Jk [;gk 1G[; [d>k [1J; >kg[ [dkM; +Gk[;M Jk;V",
+"[ g[Vk; [5ld lG[> J;[l [>gl [kP kP[! Dk[P ak[P [1P 1P[8 1D[P 1a[P S[k [!Sk ",
+"SkV[ Sk[a [lS S8[l SV[l [lSs kP[( +k[P [DkP( [+DkP 1P[( 1+[P [1DP( [1+DP [k",
+"S( Sk[+ SV[k( SV+[k l(S[ S[l+ SlV[( [slS+ Yk[ [!Yk YJk JkYa Y1[ [1Y8 J1Yk J",
+"8Yk YkS[ S[Yk! ]k ]ak lY[ Y8[l ]l ]ls [dYk [+Yk YdJk YJgk [dY1 [1Y+ YJ1[d Y",
+"1g[ Sk[d S[+Yk ]dk ]gk S[ld Y+[l ]ld ]lg [mk km[! Dk[m ak[m [1m 1m[8 1D[m 1",
+"a[m Sk[m S[km! Vk[m S[akm [pl lp[8 [lVp ls[p km[; +k[m [mDk; [+mDk 1m[; [1>",
+"P [1mD; [>1Dm Sk[; S[+km SV;[k S[ak; l;[p l>[p [plV; V>[Sl [mYk Yk[m! JmYk ",
+"YJkam [1Y5 Y1[8m J5Yk YJ58k S[Ykm YkmS[! ]km ak]m [plY [plY8 ]lp ls]p [vk [",
+"+vk YkJv gk[v [v1 >k[v J1[v g1[v vkS[ [vS+k ]vk gv]k lv[ [>lY ]lv ]yl [t [t",
+"& [tD [ct [t1 [: tD[1 [:c [tM tM[& V[t V[tc [lt [:l V[lt u[ [t( t+[ [Dt( t+",
+"[c t([1 [:+ [t1D( [+:c [Mt( tM[+ t(V[ V[t+ l([t l+[: [lVt( u[+ tG[ [&tG tJ[",
+" [ctJ [1tG [:G [tJ1 :J[ [GtM tG[M& V[tJ tJV[c tG[l lG[: [ltJ uJ[ td[ [+tG [",
+"Jtd g[t [1td [:d td[J1 g[: tM[d t+[GM V[td V[gt td[l ld[: lJ[td ug[ [t2 t2[",
+"& [Dt2 c2[t t5[ [:5 tD[5 t5[c [Mt2 [tM&2 V2[t [cVt2 t5[l [5l: V[t5 u[5 t;[ ",
+"[+t; tD[; t;[c [1t; t>[ t5[D; c>[: tM[; t+[M; V[t; [c;Vt t;[l l>[: [l;Vt u[",
+"> [Gt2 tG[&2 t2[J tJ[c2 [5tG [5:G [Jt5 J5[: tG[M2 [&MtG2 tJV[2 [cVtJ2 tG5[l",
+" [:lG5 lJ[t5 J5u[ [dt; t+[G; [Jt; t;g[ [5td tG[> tJ5[d t>g[ tG;[M tGM[;& tJ",
+";V[ g[tV; [ldt5 [:dl> lJ;[t g[u> tP[ [&tP [DtP tP[c [1tP [:P tP[1D :P[c St[",
+" [tS& V[St [cSt [lSt S:[ SlV[t u[S [Pt( [+tP tP[D( tcP[+ tP[1( [+:P [1DtP( ",
+"[:c+P S([t t+S[ StV[( St+[c Stl[( S+[: [lVSt( S[u+ tY tY& tYJ tYc tY1 tY: Y",
+"1tJ :JtY tYS S&tY ]t ]tc lYt tYS: ]lt ]u tYd tY+ YJtd gtY Y1td t+Y: tYJ1d Y",
+":g[ SdtY S+tY ]td ]gt ldtY l+tY lt]d ]ug tm[ [&tm tD[m tm[c [1tm [:m t5[Dm ",
+":m[c tmS[ S[&tm V[tm [cmSt tp[ [p: V[tp up[ [mt; [+tm tm[D; [cmt+ t5[;P >P[",
+": tmD[1; [:mc> t;S[ St+[m St;V[ Sc;[t t;[p [pt> tp[V; S>u[ tYm Y&tm YJtm tm",
+"Yc tY5 t5Y: YJt5 t5Yc tmSY tYSm& ]tm tc]m tpY Y:tp ]pt ]up tYv t+[v tJ[v tv",
+"g[ t5[v tY> [v1tJ Yct> St[v [v&St ]tv gt]v tYlv tYS> lv]t ]yu Xe Xe! XeB aX",
+"e Xe. 8Xe e.XB aX8e XeK X!eK TXe aXTe Xje Xj8e XjTe sXe X* +Xe X*B aX* X*. ",
+"8X* X.*B aX8* X*K +KX* TX* TX+e X*j X*+j XjT* sX* GXe XeG! HXe aXHe XeG. GX",
+"8e XeH. 8XHe XeGK GXe!K TXHe aXeGT GXej XjeG8 XjHe HXse fX f+X fHX gfX fX. ",
+"f8X HXf. f8gX fXK +XfK fTX fTgX fjX +Xfj HXfj sfX Xe2 X!e2 e2XB X2ae 5Xe 8X",
+"5e Xe5B aX5e e2XK Xe2!K XeT2 aXeT2 Xj5e Xje58 TX5e 5Xse X;e X;+e *BX; X;ae ",
+"5X* >Xe *B5X aX>e XKe; X;e+K X;Te aX;Te Xj5* X*>j TX5* sX>e XeG2 GXe!2 XeH2",
+" aXeG2 GX5e G58Xe 5XHe G5aXe GXe2K Xe2GK! GTXe2 GTXae2 XjeG5 G58Xje G5TXe s",
+"X5He fX; +Xf; HXf; fXg; f5X f>X H5fX gf>X X;fK f+X;K TXf; fTXg; 5Xfj fj>X 5",
+"TfX >Xsf eP eP! ePB aeP eP. 8eP P.eB ae8P QXe Q!eP TeP aXQe ePj 8XQe ejTP s",
+"eP X*P +eP *BeP ae+P X.P* 8e+P X*P.B aX*8P QX* QX+e TXQ* Te+P XjQ* 8XQ* X*j",
+"TP +esP Ye Ye! YHe Yae Ye. Y8e HeY. H8Ye YQe QeY! YZe ZeYa Yje Q8Ye ZeYj sY",
+"e Yf Yf+ YfH gYf Yf. Yf8 fHY. Y8gf YfQ fQY+ ZfY ZfgY Yfj fQY8 YjZf sYf Xme ",
+"X!em XBem Xmae 5eP 8e5P 5BeP ae5P XmQe XmeQ! XmTe aXmQe pXe 8Xpe TXpe pXse ",
+"Xm* Xm+e *BXm Xma* Xm5* >eP Xm*5B ae>P XmQ* Xm*+Q XmT* aXmQ* pX* pX>e TXp* ",
+"se>P Yem emY! HeYm aeYm Y5e 5eY8 H5Ye 5aYe QeYm YQem! YmZe YZaem Ype peY8 Z",
+"eYp seYp Yfv fvY+ YHfv Yfgv Yf5 Y>f YHf5 f>gY fQYv Yfv+Q YvZf gYZfv fpY fpY",
+"> ZfYp yYf ,X ,X& ,XB ,aX ,X. ,8X X.,B 8X,a ,XK ,KX& ,TX TX,a ,Xj 8X,j TX,j",
+" sX, ,X* -X *B,X -Xa ,.X* -X8 X*.,B 8X-a ,KX* -XK T*,X -TX X*,j -Xj X*j,T s",
+"-X ,GX G&,X ,HX Ga,X GX,. G8,X ,.HX H8,X GX,K X&K,G GT,X ,GTaX Gj,X X&j,G H",
+"X,j ,GsX fX, f-X ,HfX g-X ,Xf. -Xf8 fHX,. g8-X ,XfK fK-X ,TfX -TgX ,Xfj -Xf",
+"j fTX,j gXs- ,X2 ,2X& X2,B ,2aX ,5X 5X,8 ,B5X 5a,X X2,K X&2,K ,2TX ,TX&2 5X",
+",j X&j,5 5T,X ,5sX ,X; -X; ,BX; aX-; 5X,; >X- ,5X*B -a>X ,KX; X;-K TX,; TX-",
+"; X;,j -j>X X;j,T >Xs- GX,2 X&2,G ,2HX ,GaX2 G5,X ,G58X H5,X ,G5aX ,GX2K ,G",
+"2X&K ,GTX2 aX2,GT ,G5Xj ,G5X&j ,G5TX sX,G5 ,Xf; f;-X HX,; g;-X ,5fX f->X f5",
+"H,X g->X fX;,K f-X;K fTX,; f-TX; f5X,j f>-Xj f5T,X s-Xf> ,XP eP& ,BeP aX,P ",
+",.eP 8X,P eP.,B aeP,8 ,QX Q&,X QX,T Qa,X QX,j Q8,X ePj,T ,QsX X*,P -XP X*P,",
+"B aX-P X*P,. 8X-P ,X.P*B -X8aP Q*,X -QX ,QXT* Qa-X X*j,Q Q8-X ,TXP*j -QsX Y",
+", Y&e Y,H Ya, Y,. Y8, ,HY. ,HY8 Y,Q ,QY& YZ, ZeY& Yj, ,QY8 Z,Yj sY, Yf, Y- ",
+"fHY, Y-g f,Y. Y-8 YfH,. Y8g- fQY, Y-Q Y,Zf Y-Z fjY, Y-j YZ,fj sY- ,Xm X&,m ",
+",BXm aX,m 5X,m 8X,m ,5XmB aXm,5 QX,m Xm&,Q TX,m aXm,Q pX, ,8pX ,TpX pXs, Xm",
+",; -Xm Xm*,B aX-m Xm*,5 -X>P X;B,5P >X-am QX,; QX-m Xm*,T TX-m ,Xp* -pX pX*",
+",T sX-p Y,m ,mY& ,HYm ,aYm Y5, ,5Y8 ,HY5 ,5Ya ,QYm Y&Q,m YmZ, YZ&,m Yp, peY",
+"& ZpY, s,Yp Yv, Y-v YHv, -vgY f5Y, Y-> Yf5,H g-Y> YQv, -QYv ZvY, YZ-v Y,fp ",
+"Y-p fpZY, yY- IXe I!Xe DXe aXDe XeI. IX8e XeD. 8XDe XeIK IXe!K TXDe aXeTI I",
+"Xej IjX8e XjDe DXse I*X I*+X DX* DX+e I.X* I*8X D.X* 8XD* IKX* I*X+K TXD* a",
+"X*TI X*Ij I*j+X X*Dj DXs* IXGe GIXe! JXe aXJe GIXe. G8IXe XeJ. 8XJe GIXeK I",
+"XeGK! TXJe JTaXe IjXGe G8IXje XjJe JXse fIX +IfX JfX JfgX IXf. 8IfX fXJ. JX",
+"f8 IXfK f+IXK JXfT JfTgX IjfX f8IXj JXfj JfsX XeI2 IXe!2 XeD2 aXeI2 IX5e 5I",
+"8Xe DX5e 5DX8e IXe2K Xe2IK! DXTe2 DXTae2 IjX5e 5I8Xje 5DXTe sI5Xe X;I* I;X+",
+"e X;De aX;De I*5X I*>X DX5* DX>e I;XeK +IXe;K DX;Te DX;+Te I;jX* >IjX* X;jD",
+"e sI*>X GIXe2 IXeG2! XeJ2 JaXe2 G5IXe 5IXG8e 5XJe J58Xe IXeG2K I!X2GeK JTXe",
+"2 aXeJT2 G5IXje 8eGj5IX J5TXe sJ5Xe I;fX f+IX; fXJ; JfXg; 5IfX fI>X JXf5 Jf",
+">X fIX;K I;Xf+K JfTX; fTXgJ; f5IXj f>IXj Jf5TX J>sfX IPe I!eP DeP aeDP I.eP",
+" IP8e D.eP 8eDP IPQe IPeQ! DXQe aePQD ePIj IPj8e ePDj DesP IP* IP+e IPD* De",
+"+P I.P* IP8* IP*D. aP*8I IPQ* IP*+Q DXQ* aX*QD P*Ij IP*+j IP*Dj IPs* YIe Ie",
+"Y! YJe JaYe IeY. 8IYe JeY. YeJ8 QIYe YQIe! ZeYJ YZJae IjYe Y8QIe YeJj YJse ",
+"YfI f+YI YJf YJgf fIY. YIf8 Y.Jf JfY8 YIfQ Yf+QI YJZf gYZJf YIfj Yf8QI JfYj",
+" YJsf emIP ImXe! XmDe aXmDe IP5e 5IP8e De5P aeP5D ImXQe QIXem! QDXem QDXaem",
+" IPpe pI8eP DXpe sIPpe XmI* Im*+X XmD* aXmD* IP5* IP>e IP*5D De>P Im*QX +QI",
+"Xm* Im*TX +QDXm* IPp* >XpI* DXp* sIP>e ImYe YIem! YeJm YJaem 5IYe Y58Ie YeJ",
+"5 YJ58e YQIem ImeYQ! YZJem ZJeYam YIpe Yp8Ie peYJ JpsYe vIYf Yfv+I YfJv gYJ",
+"fv YIf5 >IYf JfY5 YJf> YfvQI fvQY+I YZvJf ZfJgYv pIYf fpY>I YJfp YJyf hX hX",
+"& hDX hcX hX. h8X DXh. cXh8 hXK X&hK hTX cXhT hjX 8Xhj DXhj hsX hX* h-X DXh",
+"* c-X X*h. -Xh8 hDX*. c8-X X*hK hK-X TXh* -TcX X*hj -Xhj hTX*j sXh- hGX G&h",
+"X hJX cXhJ GXh. G8hX JXh. hXJ8 GXhK hGX&K JThX cJThX GjhX h8GXj hXJj sXhJ h",
+"fX -Xhf hXJf iX fXh. hXf8 JfXh. i8X fXhK f-XhK hXfT iTX hXfj f-jhX JfjhX is",
+"X hX2 X&h2 DXh2 h2cX h5X 5Xh8 5DhX cXh5 X2hK hX&2K TXh2 cXTh2 5Xhj h58Xj 5T",
+"hX sXh5 h;X -Xh; DXh; cXh; 5Xh; h>X h5DX; hc>X X;hK -X;hK TXh; c-XT; X;hj h",
+"j>X h5TX; >Xhs GXh2 hGX&2 JXh2 cJXh2 G5hX h5G8X hXJ5 cJ5hX hGX2K X&2hGK hJT",
+"X2 hJTcX2 h5GXj X&jh5G hJ5TX hsJ5X fXh; f-Xh; hXJ; iX; hXf5 hf>X Jf5hX i>X ",
+"hfX;K hf;-XK hJ;TX TXi; hf5Xj h>fXj J;jhX >Xis hP hP& hPD hcP hP. h8P DPh. ",
+"cPh8 hQX QXh& hTP cQhP hPj Q8hP DPhj hsP hP* h-P DPh* c-hP P*h. -Ph8 hPD*. ",
+"c-X8P QXh* -QhP TPh* -QcX P*hj -Phj hTP*j hPs- hY hY& hYJ Ych hY. hY8 h.YJ ",
+"h8Yc hYQ Y&hQ hZY YchZ hYj Y8hQ YZhj hsY hYf Y-h YJhf iY h.Yf h8Y- hYJf. iY",
+"8 YfhQ hQY- ZfhY iZY Yfhj hjY- hYjZf isY hmX Xmh& DXhm cXhm h5P 5Ph8 5DhP c",
+"5hP QXhm hQXm& TXhm cQXhm hpX pXh8 pDhP hPcp h;P -Xhm D;hP c;hP 5Ph; h>P h5",
+"PD; hc>P QXh; -QXhm T;hP c-QXm pXh; >Xhp hpDX; >Phs hYm Y&hm YJhm hmYc hY5 ",
+"Y5h8 YJh5 h5Yc YQhm hYQm& YZhm hZYcm hpY h8Yp hYJp sYhp hvY Y-hv JvhY iYv Y",
+"fh5 h>Y hY5Jv iY> YvhQ hvY-Q YZhv YZiv hYfp Y-hp JpfhY yiY Xe0 X!e0 e0XB Xe",
+"a0 1Xe 8X1e Xe1B aX1e e0XK Xe0!K XeT0 aXeT0 Xj1e Xje18 TX1e 1Xse X*0 +0X* X",
+"0*B a0X* 1X* +X1e *B1X aX1* *0XK X*0+K T0X* aX*T0 Xj1* X*j1+ TX1* 1Xs* XeG0",
+" GXe!0 XeH0 aXeG0 GX1e 1G8Xe HX1e 1GaXe GXe0K Xe0GK! GTXe0 GTXae0 Xje1G 1G8",
+"Xje 1GTXe sX1He fX0 +Xf0 HXf0 fXg0 f1X 1+fX 1HfX f1gX X0fK f+X0K TXf0 fTXg0",
+" 1Xfj f1+Xj 1TfX f1sX e0X2 Xe0!2 Xe02B aXe02 5X1e 1X58e 1X5eB 1aX5e Xe02K e",
+"02XK! TXe02 TX0ae2 Xje15 5X81ej 1TX5e sX15e X0e; X;e+0 X;e0B aX;e0 5X1* 1X>",
+"e 1X;*B >X1ae X;e0K +X0e;K TX;e0 aX0Te; X;j1e >X1ej 1TX5* sX*>1 GXe02 Xe0G2",
+"! HXe02 HX0ae2 1G5Xe G581Xe 1HX5e H5X1ae Xe0G2K 2Ke!GX0 TX0He2 aXHeT02 1G5X",
+"je 8eGj1X5 H5X1Te 1HXse5 X;f0 f+X;0 fHX;0 gfX;0 1Xf5 f1>X f1H5X f>g1X fX;0K",
+" X;0f+K fTX;0 gX;fT0 f15Xj f>1Xj f1T5X sf>1X eP0 P!e0 P0eB a0eP 1eP 8e1P 1B",
+"eP ae1P Q0eP eP0Q! T0eP aePQ0 QX1e ePj18 Te1P 1esP X0P* +0eP X*P0B aX*P0 X*",
+"1P +e1P 1X*PB aX*1P Q0X* +QXe0 QX*T0 aX*Q0 QX1* ePj1+ 1QXT* sX*1Q Ye0 e0Y! ",
+"HeY0 aeY0 Y1e 1eY8 1HYe 1aYe QeY0 YQe!0 Y0Ze YZae0 1QYe Y1Q8e ZeY1 Y1se Yf0",
+" f+Y0 fHY0 g0Yf Yf1 f1Y+ YHf1 Yfg1 Y0fQ Yf+Q0 Y0Zf gYZf0 f1Yj Yf1+Q Y1Zf Y1",
+"sf X0em Xme!0 Xme0B aXme0 5e1P 1Xm8e 1XmeB aXm1e XmeQ0 QX0em! TXme0 aX0Tem ",
+"1Xpe pX18e pX1Te sePp1 X0m* Xm*+0 Xm*0B aXm*0 Xm1* 1e>P Xm*1B >eP1a Xm*Q0 X",
+"m0+Qe Xm*T0 aX0Qe; 1Xp* >Xp1e pX*1T sX*p1 emY0 Yem!0 YHem0 Yaem0 1eY5 Y158e",
+" Y1H5e Y1a5e YQem0 em0YQ! YZem0 ZemYa0 peY1 Yp18e YZ1pe sYp1e Y0fv Yfv+0 Yf",
+"vH0 gYfv0 fvY1 Y1f> Yf1vH gY1f> YfvQ0 fvQY+0 YZvf0 ZfvgY0 Y1fp fpY>1 fpZY1 ",
+"Yfy1 ,X9 X&9e ,B9X 9a,X ,1X :Xe ,B1X ,a:X ,K9X X&K9e 9T,X ,TX9a 9X,j ,X:j 1",
+"T,X :Xse 9X* -X9 *B9X 9a-X 1X9* :-X ,1X*B :a-X 9KX* 9X-K TX9* 9T-X X*9j -j:",
+"X X*j9T :-sX 9G,X ,G9X& 9H,X ,Ga9X 1G,X ,G:X 1H,X ,H:X ,G9XK ,G9X&K ,GT9X 9",
+"GT,aX ,1GXj :GX,j ,1GTX sX,:G f9X -Xf9 9HfX f9gX ,1fX :fX f91HX gX:f 9XfK f",
+"-9XK 9TfX f-T9X 9Xfj fj:X f9T1X sX:f ,29X X&29e ,X92B ,aX92 95,X ,5:X ,1X5B",
+" :X5,a ,X92K 9X2e&K ,TX92 aX29Te ,1X5j :X5,j ,1T5X sX,:5 9X,; 9X-; ,X;9B -X",
+"9a; 1X,; :->X ,1X;B :-X>a ,X;9K -X9;K ,TX9; -TX9; X;j,1 :-X>j ,1TX; s-X:> ,",
+"G9X2 ,G9X&2 ,HX92 aX29He ,1G5X :G5,X ,1H5X :HX,5 9G2,XK X&9eG2K ,G29TX ,2GT",
+"9aX 9G5,Xj ,G5:Xj 9G5,TX sX5:He 9Xf; f-9X; f9HX; gf9X; 95fX >X:f f95HX g:Xf",
+"> f9X;K -X;f9K f9TX; f9;-TX f95Xj :f>Xj f95TX sf:>X 9eP e&9P 9BeP ae9P 1X,P",
+" :eP ,1XPB ae:P 9Q,X eP&9Q Te9P aeP9Q 1Q,X ,Q:X ePj9T :esP X*9P 9X-P 9X*PB ",
+"-X9aP ,1XP* -X:P X*B,1P :-XaP QX9* 9Q-X 9QXT* -QX9T X*j9Q -Q:X 9TXP*j s-X:Q",
+" Y9e 9eY& ,HY9 ,aY9 Y1, Y:e ,1YH :HY, ,QY9 Y9Qe& Z9Y, YZ9,a ,1Yj :QY, Z1Y, ",
+"seY: Yf9 Y-9 YHf9 g9Y- f9Y1 Y:f Yf91H gY:f fQY9 -QY9 Y9Zf Y9Z- f9Yj Yj:f Zf",
+"9Y1 Y:sf 9X,m Xm&9e ,Xm9B aXm9e 1X,m ,X:m ,1XmB :Xm,a ,QX9m 9QXem& ,TX9m 9Q",
+"a,Xm ,1pX pX:e p9X,T :pXse Xm9* 9X-m Xm*9B -Xm9a Xm*,1 :e>P XmB,1; :-Xam Xm",
+"*9Q -QX9m Xm*9T -TX9m 9Xp* :X-p p9XT* -pXs: ,mY9 Y9em& Y9H,m Y9a,m ,1Y5 :eY",
+"5 Y95,H Y:H,5 Y9Q,m em&Y9Q YZ9,m Y9mZe& p9Y, Y,:p Yp9Ze sY:pe fvY9 Y9-v Yf9",
+"vH gY9-v f9Y5 :fY> Yf9H5 Y:gf> Yf9vQ Y-v9Q Zf9Yv Y-Zv9 Y9fp fpY: fp9YZ Y:yf",
+" XeI0 IXe!0 XeD0 aXeD0 IX1e 1I8Xe DX1e 1DX8e IXe0K Xe0IK! DXTe0 DXTae0 IjX1",
+"e 1I8Xje 1DXTe sI1Xe I0X* I*X+0 D0X* aX*D0 I*1X 1+IX* DX1* aX*1D I*X0K +I0X",
+"*K DX*T0 aX0TI* I*j1X 1+IX*j X*j1D sI*1X GIXe0 IXeG0! XeJ0 JaXe0 1GIXe G8I1",
+"Xe 1XJe J18Xe IXeG0K I!XKGe0 JTXe0 aXeJT0 1GIXje 8eGj1IX J1TXe sJ1Xe IXf0 f",
+"+IX0 fXJ0 JfXg0 1IfX f1+IX JXf1 Jf1gX fIX0K +IXf0K JfTX0 fTXgJ0 f1IXj 1+Ifj",
+"X Jf1TX sfJ1X IXe02 Xe0I2! DXe02 DX0ae2 1I5Xe 5I81Xe 1DX5e 5DX1ae Xe0I2K I!",
+"X2e0K TX0De2 aXDeT02 1I5Xje 8X5e1Ij 5DX1Te 1DXse5 I;Xe0 +IXe;0 DX;e0 aX0De;",
+" 1I;X* >I1X* 1DX5* >XD1e X;0I*K +KI;X*0 I;0TX* X;De+T0 1I;X*j I*j>X1 1DXe;j",
+" >I1sX* IXeG02 I!X2Ge0 JXe02 aXeJ02 G5I1Xe 8X5e1GI J15Xe 1aXJ5e IXG0e2K IXG",
+"02Ke! TXeJ02 aXJeT02 Ij1XG5e GX8e15Ij 1TXJ5e J15sXe fIX;0 I;Xf+0 JfX;0 gfXJ",
+";0 f15IX f>1IX Jf15X J>f1X I;Xf0K I;fX+0K fTXJ;0 X;g0JfT I;jf1X f1I>Xj J1Xf",
+"5T sf1J>X I0eP IPe!0 D0eP aePD0 IP1e 1IP8e De1P aeP1D IPeQ0 QI0eP! QDXe0 aX",
+"0QDe IPj1e Q8I1eP ePj1D sIP1e I0P* IP*+0 IP*D0 aP*I0 IP1* IP*1+ IP*1D aP*1I",
+" IP*Q0 IP0+Qe IP*T0 aX0QD* IP*1Q 1+QIP* IP*1T sIP1* IeY0 YIe!0 JeY0 YJae0 1",
+"IYe Y18Ie YeJ1 YJ18e YQIe0 QIeY0! YZJe0 ZJeYa0 Y1QIe 1QIY8e YZ1Je sYJ1e fIY",
+"0 Yf+I0 Y0Jf gYJf0 YIf1 Yf1+I JfY1 gY1Jf YfQI0 fQIY+0 YJfZ0 ZfJgY0 Yf1QI Y1",
+"IfQ8 Zf1YJ sYfJ1 ImXe0 em0IP! DXme0 aX0Dem 1ImeP 8Im1eP 1DXem 1DXaem QIXem0",
+" ImQXe0! Im0TeP aXQeIm0 pI1eP 1IPpe8 pDX1e sX1pDe Im*X0 Im0+eP Xm*D0 aX0Im*",
+" Im*1X >eP1I Xm*1D >eD1P Im0QX* Im+XQe0 Im0TX* XmD*+Q0 pI*1X >I1pX* pDX1* >",
+"I1seP YIem0 ImeY0! YJem0 JmeYa0 Y15Ie 1ImY8e YJ15e Y1eJ8m ImeYQ0 QmY0Ie! Ze",
+"mYJ0 aeJmYZ0 Yp1Ie pI8Y1e JpY1e sY1Jpe YfvI0 fvIY+0 YJfv0 JvfgY0 Yf1vI Y>f1",
+"I Jv1Yf Y>Jf1 fQIYv0 YQvIf+0 JvYZf0 gJZfYv0 fpY1I Y>1fpI JpfY1 yJYf1 h9X 9X",
+"h& 9DhX h9cX h1X h:X 1DhX :Xhc 9XhK h9X&K 9ThX cX9hT 9Xhj :Xhj 1ThX sXh: 9X",
+"h* h9-X DX9* c9-X 1Xh* :Xh- h1DX* c-:X h9X*K -X9hK hT9X* c-X9T h1X*j h:-Xj ",
+"h1TX* s-Xh: 9GhX h9GX& hXJ9 cJ9hX 1GhX hG:X hXJ1 :XhJ h9GXK X&Kh9G J9ThX hJ",
+"9cXT h1GXj h:GXj J9jhX hsJ:X hXf9 f-9hX JXf9 i9X hXf1 :Xhf Jf91X i:X f9XhK ",
+"hf9-XK Jf9TX 9TiX f9jhX :fhXj Jf9Xj s:iX 9Xh2 h9X&2 h9DX2 cX9h2 95hX :Xh5 h",
+"15DX h:c5X h9X2K X&2h9K hT9X2 hT9cX2 h15Xj h:5Xj h1T5X hs:5X 9Xh; -X9h; h;9",
+"DX c-X9; 1Xh; >Xh: h1;DX c>Xh: h;9XK h;9-XK hT;9X cX9hT; h1;Xj h>:Xj h1TX; ",
+"hs>:X h9GX2 X&2h9G J9Xh2 hJ9cX2 h1G5X h:G5X J95hX :Jh5X 9GXh2K X&h29GK hTXJ",
+"92 h9cXJT2 9G5hjX h5G:Xj J9Xh5T :J5hsX f9Xh; hf9-X; Jf9X; 9Xi; f95hX h>:fX ",
+"Jf95X >Xi: h;Xf9K h9-Xf;K J9XhT; i9;TX f9Xh;j :fXh>j J9Xf5T is:>X hP9 9Ph& ",
+"9DhP h9cP h1P h:P 1DhP :chP 9QhP hQ9X& 9ThP cQXh9 9Phj :QhP 1ThP s:hP 9Ph* ",
+"h9-P hP9D* c-X9P 1Ph* :-hP h1PD* h:Pc- hQ9X* -QXh9 hTP9* c-Q9X h1QX* h:Q-X ",
+"h1TP* hsP:- hY9 h9Y& Y9hJ Y9hc hY1 Y:h YJh1 hY:J Y9hQ hY9Q& Y9hZ hZYc9 Y9hj",
+" hQY: YZh1 Y:hZ Y9hf Y9h- JfY9 iY9 Yfh1 hY:f hY1Jf iY: hYf9Q Y-h9Q Zf9hY YZ",
+"i9 hY1fQ Y:hfQ hZ1Yf sYi: 9Xhm hm9X& hm9DX cXmh9 95hP :Xhm h1mDX h:mcX hQ9X",
+"m Xm&hQ9 hTm9X cX9hTm p9hP hP:p hp9DX cpXh: 9;hP -Xmh9 h;P9D c-X9m 1;hP >Ph",
+": h1;DP h>P:c hQ;9X -Q9h;P hT;9P cQ9-Xm hp9X; -pXh: p9DX* cp-:X Y9hm hY9m& ",
+"hYJ9m Ych9m Y9h5 h5Y: hY1J5 Y:Jh5 hY9Qm hQ9Y&m hZY9m Yc9hZm h1Yp Y:hp Jp9hY",
+" hZ:Yp Y9hv hvY-9 Jv9hY Yvi9 Yvh1 Y:hv hv1YJ Y:iv hvY9Q Y-9hvQ hZvY9 iZYv9 ",
+"fp9hY hv:Yp JpfY9 yYi: Re Re! ReB Rae Re. R8e e.RB 8eRa ReM R!Me RTe TeRa R",
+"ej 8MRe TeRj sRe Re* R+e *BRe +eRa R.X* +eR8 X*.RB aX*R8 XM* +MRe TXR* +TRe",
+" X*Rj +eRj XM*Tj R+se RGe GeR! RHe GaRe GeR. G8Re R.He H8Re GMRe XM!Ge GTRe",
+" aXMHe GjRe RG8Me HeRj RGse fR fR+ fRH gfR fR. fR8 RHf. f8gR fRM R+fM fRT f",
+"RgM fRj R+fj RHfj sfR Re2 e2R! e2RB R2ae R5e 5eR8 RB5e 5aRe R2Me XM2e! R2Te",
+" aXMe2 5MRe R5e8M 5TRe R5se Re; +eR; RBe; aeR; 5XR* >eR R5e*B Ra>e MeR; XM;",
+"+e TeR; aXMe; XM5* Re>M XM*5T sR>e GeR2 RGe!2 R2He RGae2 G5Re RG58e H5Re RG",
+"5ae XM2Ge RG2Me! RGTe2 aX2HMe RG5Me G5MR8e RG5Te sRG5e fR; R+f; RHf; g;fR f",
+"R5 f>R RHf5 gRf> R;fM fR+M; RTf; fRTg; R5fM fR>M R5fT sRf> ReP R!eP RBeP aP",
+"Re R.eP 8PRe eP.RB aePR8 Se Se! SeT Sae Sej S8e TeSj Sse ePR* +PRe X*PRB aX",
+"*RP X*PR. R+e8P Re.P*B R8eaP* Se* S+e TXS* +TSe X*Sj +eS8 SeT*j S+se YRe Re",
+"Y! RHYe RaYe ReY. R8Ye YRHe. Y8RHe SYe YeS! SZe YaSe YjSe Y8Se SjZe seSZ Yf",
+"R fRY+ YHfR YfgR Y.fR fRY8 YfRH. gYfR8 Sf Sf+ SfZ gSf Sfj Sf8 fjSZ sfS Rem ",
+"R!em RBem aeRm 5eRm 8eRm R5emB aemR5 Sem emS! TeSm aeSm Spe peS8 STpe seSp ",
+"XmR* +eRm Xm*RB aXmR* Xm*R5 Re>P XmBR5* >eRam Se; +eS; TeS; aeS; pXS* S>e S",
+"peT; >eSs ReYm YRem! HeRm YaRem R5Ye Y5R8e Y5RHe Y5aRe YeSm SYem! SmZe SZea",
+"m SeYp SpeY8 ZpSe SseYp fvR f+vR fHvR fvgR fRY5 fRY> Yf5RH f>RgY Sfv fvS+ Z",
+"fSv gfSv Sfp Sf> SZfp yfS ,RX Re& RB,X Ra,X ,.Re R8,X ,RX.B ,R8aX ,XM X&,M ",
+"RT,X TeR& Re,j 8X,M ,RTXj ,RsX R*,X -RX X*B,R Ra-X X*.,R R8-X ,R.X*B -R8aX ",
+"X*,M -XM XM*,T RT-X XM*,j Re-j ,RTX*j -RsX ,RG R&,G RG,H RG,a ,.RG RG,8 ,RG",
+"H. ,RGH8 RG,M XM&,G RG,T aXM,G RG,j e&jRG ,RGHj ,RsG fR, f-R ,RfH f-gR ,Rf.",
+" -Rf8 fRH,. f-Rg8 ,RfM -RfM ,RfT -RfT ,Rfj -Rfj fRT,j f-sR ,2Re R2e& ,RX2B ",
+",RaX2 R5,X 5eR& ,R5XB ,R5aX ,2XM XM&,2 ,RTX2 aXM,2 5X,M XM&,5 ,R5TX sX,R5 R",
+"e,; Re-; ,R;XB -RaX; ,R5X; -R>X X;B,R5 >X-Ra XM,; XM-; XM;,T -RTX; XM;,5 -X",
+">M ,RTX;j s-R>X ,2RG ,RG&2 ,RGH2 ,RGa2 RG,5 ,RG5& ,RGH5 ,RG5a ,RGM2 X&2,GM ",
+",RGT2 aX2,GM ,RG5M ,G5XM& ,RG5T sRG,5 ,Rf; f;-R fRH,; f-Rg; ,Rf5 ->fR fR5,H",
+" f>Rg- fRM,; f-RM; fRT,; f-RT; fR5,M f>R-M fR5,T sfR-> Re,P ePR& ePB,R aeP,",
+"R eP.,R eP&R8 ,R.ePB ,R8aeP Se, Se& ,TSe ,aSe ,XSj ,8Se SeT,j Ses, X*P,R Re",
+"-P ,RXP*B -RaeP ,RXP*. -R8eP ePR*,.B aeP-R8 ,XS* S-X SeT,* -TSe Se*,j -XS8 ",
+"X*jS,T sXS- Y,R ,RY& ,RYH ,RYa ,RY. ,RY8 Y,RH. Y8,RH SY, Y&Se YZS, YaS, YjS",
+", Y8S, SZe,j SYs, fRY, Y-R YfR,H gRY- YfR,. -RY8 fRHY,. Y-gR8 Sf, Sf- S,Zf ",
+"Y-gS fjS, S8Y- SfZ,j S-sY Re,m emR& ,RmXB aXm,R ,R5Xm em&R5 XmB,R5 ,R5aXm ,",
+"XSm emS& SeT,m Sae,m pXS, peS& Spe,T Ssep& Xm*,R Re-m XmB,R; -RmaX ,R5Xm* >",
+"X-Rm Xm,;R5B >Xa-Rm ,XS; -XS; Se;,T S-TXm Spe,; >XS- S;TpX, -pXSs ,RYm Y&R,",
+"m Y,RHm Ya,Rm ,RY5 Y5&,R Y5,RH Y5a,R SmY, SY&,m SZe,m SZem& S,Yp Yp&Se Yp,S",
+"Z sY,Sp vRY, fR-v Yv,RH -vRgY Yf5,R -RY> Y5HvR, Y->gR YvS, SvY- Sv,Zf gSf-v",
+" S,fp Y-S> SfpZ, Sfy- [e [!e [De [ae [e. [8e De[. D8[e [Me Me[! V[e [aVe [j",
+"e 8M[e [jVe [se [* [+e [*D [a* [*. [8* D*[. D8[* [*M +M[* V[* [+Ve [*j +e[j",
+" [jV* [s* [Ge Ge[! [Je Je[a Ge[. G8[e [eJ. Je[8 GM[e [!GMe [JVe VJ[ae Gj[e ",
+"[8GMe Je[j [Jse [f [f+ [fJ g[f [f. [f8 J.[f J8[f [fM [+fM Vf[ Vfg[ [fj [+fj",
+" Jj[f sf[ [e2 e2[! De[2 ae[2 [5e 5e[8 5D[e 5a[e Me[2 [!Me2 [eV2 V[ae2 5M[e ",
+"[58Me [5Ve [5se [;e +e[; De[; ae[; [5* [>e 5D[* [a>e Me[; [+Me; [;Ve V[+e; ",
+"5M[* [*>M [5V* >e[s Ge[2 [!Ge2 [eJ2 [Jae2 G5[e [5G8e Je[5 J5[8e [GMe2 Me2[!",
+"G VJ[e2 [JaVe2 [5GMe G5M[8e J5V[e [sJ5e [f; f+[; J;[f [;gf [f5 [>f J5[f f>g",
+"[ [;fM [f+M; V;[f Vfg[; [5fM >M[f V[f5 [>sf [eP eP[! De[P ae[P eP[. 8e[P [D",
+"eP. [8DeP S[e [!Se SVe VeSa [jSe [8Se SjVe SVse [*P +e[P DP[* aP[* P*[. 8P[",
+"* [*DP. [8*DP S[* [+Se V[S* V+Se [jS* [8S* SVe*j s*S[ [Ye Ye[! Ye[J Ye[a [e",
+"Y. Ye[8 YJ[e. YJ8[e [YSe S[Ye! ]e ]ae Ye[j S[8Ye ]je ]se [fY Y+[f YJ[f [fgY",
+" Y.[f Y8[f YJf[. g[Yf8 Sf[ S+[f ]f ]gf Yj[f S8[f ]fj ]sf [me em[! De[m ae[m",
+" 5e[m 8e[m [5Dem [5aem [mSe S[em! VmSe SVeam [pe [8pe SeVp se[p [m* +e[m Dm",
+"[* am[* 5P[* [m>e [5*Dm [>Dem [mS* S[+em VeS; SV+em [p* >e[p V*[p SV>e Ye[m",
+" [Yem! Je[m Ya[em Ye[5 Y5[8e YJ5[e Y5[ae S[Yem [YmSe! ]em ae]m [Ype [pY8e ]",
+"pe sp]e [vf [+fv [fJv gf[v Y5[f f>[v [vJf5 [>fgY [vSf [vfS+ ]fv gf]v fp[ [>",
+"Sf ]pf ]yf [h [h& [hD [ch [h. h8[ [Dh. h8[c hM[ [&hM Vh[ [cVh hj[ [8hM V[hj",
+" hs[ [h* [- hD[* [-c h.[* [-8 [hD*. [8c- [*hM [-M [hV* V-[ [*hj [-j Vh[*j [",
+"s- [hG hG[& hJ[ hJ[c [Gh. hG[8 h.[J [Jh8 [GhM [hGM& V[hJ VhJ[c hG[j h8[GM [",
+"Jhj hJ[s [fh [-f hJ[f i[ h.[f h8[f [fJh. i[8 hM[f fM[- [fVh iV[ hj[f fj[- V",
+"f[hj i[s [h2 h2[& [Dh2 h2[c h5[ [5h8 hD[5 h5[c [Mh2 [h&M2 h2V[ Vh[c2 [5hM h",
+"5[8M V[h5 h5[s h;[ [-; hD[; h;[c [5h; h>[ h5[D; c>[- [;hM [;-M V[h; V;[- [;",
+"hj >M[- Vh5[; [sh> [Gh2 [hG&2 h2[J [cJh2 hG[5 h5[G8 [Jh5 [c5hJ [hGM2 [&GhM2",
+" VhJ[2 [cJVh2 h5[GM h5G[&j Vh5[J hs[J5 h;[f [;f- [Jh; i[; h5[f f>[- [f5hJ i",
+"[> [fhM; [-fM; Vf[h; V[i; [f5hM [-jf> Vf5[h V>i[ hP[ [&hP [DhP hP[c [Ph. [8",
+"hP [hDP. [ch8P Sh Sh& ShV Shc Shj Sh8 SVhj hsS [*hP [-P [hDP* cP[- [h*P. [8",
+"-P [*DhP. [-c8P Sh* Sh- S*Vh V-Sh S*hj h8S- ShV*j S-hs hY[ [hY& [JhY [chY h",
+".[Y [hY8 hYJ[. hY8[c ShY S&hY ]h ]hc SYhj SYh8 ]hj ]hs [fhY Y-[ hYJ[f i[Y h",
+"Y[f. Y8[- [fJhY. Y8i[ Shf Y-Sh ]hf ]i hjSf h8Sf hf]j ]is hm[ [&hm hD[m hm[c",
+" [5hm [8hm h5[Dm [c5hm Shm S&hm SVhm hmSc hp[ h8[p VpSh Schp [mh; [-m hm[D;",
+" cm[- h5[m* >P[- h5D[m* [-mc> Sh; hmS- SVh; h;Sc h;[p h>S [p*Vh Sch> [Yhm h",
+"Y[m& [Jhm [cmhY [hY5 hY5[8 hY5[J Yc5[h SYhm ShYm& ]hm hc]m hY[p [p&hY ]ph h",
+"p]s hv[ [-v hJ[v i[v h5[v [-Y> hv[J5 Y>i[ hvS S-hv ]hv ]iv Sfhp Sfh> hp]f ]",
+"yi Rek R!ke RBke akRe R1e 1eR8 RB1e 1aRe XMke kXMe! TkRe akXTe lXe R8le RTl",
+"e sRle kX* +kRe *BkX kXa* 1XR* 1+Re kX*1B akX1* XMk* kX*+M kXT* akXT* lX* R",
+"+le TXl* sXl* GkRe kX!Ge HkRe akXHe 1GRe R1G8e 1HRe R1Gae kXMGe RGkMe! RGTk",
+"e RGTake RGle lGR8e RHle lsGRe fRk R+fk RHfk fRgk fR1 R1f8 R1fH fRg1 kXfM f",
+"R+kM RTfk fRTgk lfR fRl+ fRlH lXsf R2ke kX2e! kX2eB akXe2 1eR5 R1e58 R1e5B ",
+"akX5e kXMe2 XM2ke! RTek2 ak2RTe R5le lX58e lX5Te lsX5e keR; kX;+e kX;*B akX",
+"e; 1eR; R1>e kX*5B >kXae kX;Me +kXMe; kX;Te kX;aMe Rel; lX>e lX;Te l>Xse kX",
+"2Ge RG2ke! RHek2 ak2RHe R1G5e G5kR8e R1H5e RG5ake RGkMe2 M!kXGe2 kX2HMe akR",
+"eGT2 lGR5e RG5le8 lHX5e sX5lHe R;fk fR+k; fRHk; gfRk; R1f5 fR>k fR1H5 f>Rg1",
+" fRkM; kX;fM+ fRTk; fT;gkX fRl; >Xlf lfRH5 glf>X keP k!eP kBeP keaP 1PRe ke",
+"8P keP1B ake1P Sek keS! TkSe akSe leS S8le lTSe leSs X*kP ke+P kX*PB akXP* ",
+"kX*1P kX*8P kXB1P* R1+aeP kXS* +kSe SeTk* S+eTk Sel* S+le lX*ST Ssel+ Yke k",
+"eY! HkYe akYe R1Ye 8kYe Y1RHe Y1aRe YkSe SYke! ZkSe SZeak lYe Y8le SZle les",
+"Y Yfk fkY+ YHfk Yfgk fRY1 f8Yk Yf1RH gY1fR Sfk fkS+ YkZf gkSf lYf l+Sf ZflY",
+" gSlf keRm kXme! kXmeB akXem 1eRm kXm8e keP5B ake5P keSm Sekm! SeTkm Saekm ",
+"Sple Spel8 SpelT Sselp Xmk* kXm+e kXm*B akXm* kXm1* ke>P kXB1m* >keaP keS; ",
+"S+ekm Se;Tk Saek; Sel; leS> Se;lT S>els keYm Ykem! YkHem Yakem 5kYe Y5k8e Y",
+"5kHe Y5ake SYkem YkmSe! SZekm SamZke leYp lYp8e lYZpe lYspe fvYk Yfkv+ Yfkv",
+"H gYkfv f5Yk Yf>k Yf5Hk Y>kgf fkSv Sfv+k ZfkSv gSfvk Sflv S>lf lYfZp lYyf ,",
+"kX 9eR& RB9e 9aRe R1,X :Re ,R1XB Ra:e 9X,M kX&,M 9TRe akX,T lX, :Rle ,TlX s",
+"Xl, 9XR* -kX kX*,B ak-X kX*,1 -R:X k*B,1X :-RaX XM9* 9X-M kX*,T Tk-X ,Xl* l",
+"-X lX*,T lXs- R9,G kX&,G 9HRe akX,G R1,G ,R:G ,R1HX RH:e ,RG9M ,GkXM& ,RG9T",
+" ,GTakX ,RlG :RGle ,HlX sX,lG fR9 -Rf9 R9fH fRg9 ,Rf1 :fR fR91H gR:f R9fM f",
+"-R9M R9fT f-R9T fRl, lX:f lfR,H g-lX ,2kX kX&,2 ,kX2B akX,2 95Re R5:e ,5kXB",
+" :Re5a ,kXM2 kX2Me& ,TkX2 ak2,TX ,5lX :Rel5 lX,5T sX,l5 9eR; kX-; kX;,B -kX",
+"a; kX;,1 :R>e kXB,1; :>Rae kX;,M -kXM; kX;,T -TkX; ,Xl; >Xl- lX;,T l-Xs> ,R",
+"G92 ke2RG& ,HkX2 ak2,RG ,R1G5 :RG,5 ,H5kX :RH5e kX2,GM XMk&,G2 kX2,GT aX9M,",
+"G2 lG,R5 :R5lG, lHX,5 sX5lG, R9f; f-R9; fR9H; fR9g; R9f5 :Rf> fR9H5 :fRg> f",
+"R9M; f9;-XM fR9T; fR;-Tk lfR,5 lf:>X fR95T gl->X 9PRe ePk& keP,B akX,P keP,",
+"1 Re:P kXB,1P :ReaP S9e 9eS& 9TSe 9aSe S9le S:e S9elT seS: kX*,P kX-P kXB9P",
+"* -kXaP ,1XkP* :-ReP X*9PR1B :Xa-kP 9XS* -kSe S9eT* S-9TX S9el* lXS- S9TlX*",
+" l-SsX Yk, ,kY& ,HYk ,aYk ,RY1 :RY, Y1,RH Y:R,H Y9Se SY9e& Z9Se SZ9ae lY, l",
+"eY: YZl, l,sY fRY9 Y-k Yf9RH gkY- Yf9R1 Yk:f Y9HfR1 Y:gfR Sf9 S9Y- S9Zf g9S",
+"f l,Sf lY- lYfZ9 sYl- 9eRm kXme& kXm,B akX,m kXm,1 Re:m kXB,1m :Ream 9eSm S",
+"9em& S9eTm S9aem p9Se Se:p Sp9Te S:esp kXm,; kX-m kXB,;P -kXam ,R1Xm* :-RXm",
+" Xm9*R1B :Ra>eP 9eS; S-9Xm S9eT; S9ae; Sp9X* >eS: S9Tle; -pXls ,kYm Yk&,m Y",
+"k,Hm Yak,m ,5Yk Y:R,5 Y5k,H Y5a,k SY9,m SemYk& SZ9em S9mYa, l,Yp lY:pe lY,Z",
+"p lYsp, vRf9 Yk-v Yvk,H Y-kgv Yf9R5 >kY- Y9HfR5 :vRgf fvS9 Sf-v9 Sf9Zv gSfv",
+"9 S9fp Y-lv fp9SZ lYy- [ke ke[! Dk[e ak[e [1e 1e[8 1D[e 1a[e ke[M [!kMe [kV",
+"e V[ake [le [8le V[le le[s [*k +k[* Dk[* ak[* [1* 1+[* 1D[* 1a[* k*[M [+kMe",
+" Vk[* V[+ke [l* [+le V[l* l*[s Gk[e [!Gke [kJe Jk[ae 1G[e [1G8e Je[1 J1[8e ",
+"[GkMe keM[!G JkV[e V[aJke [Gle [lG8e [Jle [slJe [fk [+fk Jk[f gk[f [f1 [1f8",
+" J1[f g1[f [kfM [f+kM fkV[ Vfg[k lf[ l+[f [lVf g[lf ke[2 [!ke2 [Dke2 [ake2 ",
+"1e[5 [158e [15De [1a5e [kMe2 keM[!2 V[ke2 [akVe2 [5le [l58e [lV5e [sl5e ke[",
+"; [+ke; [;Dke [a;ke 1e[; [1>e [1;De [>1De [;kMe ke;[+M V[;ke Vek[a; [5l* >e",
+"[l [l;Ve V>[le [Gke2 ke2[!G Jk[e2 [aeJk2 [1G5e G5k[8e J1[5e J1e[5a keM[G2 k",
+"e[!GM2 V[eJk2 akVe[J2 [lG5e [5Gle8 lJ[5e lJ5[se [;fk [f+k; [fJk; g[fk; [1f5",
+" >k[f [f1J5 J>k[f [fkM; [+kfM; Vf[k; g[kVf; l;[f [>lf Vf5[l J>l[f ke[P keP[",
+"! keDP [akeP 1e[P [18eP [1DeP [1aeP [kSe S[ke! SkVe SVeak S[le S[8le SVle [",
+"slSe kP[* [+keP [*DkP [a*kP 1P[* [1+eP [1*DP [1aP* Sk[* S[+ke SVek* SV+ke S",
+"[l* [l+Se [l*SV [s*Sl [kYe Yk[e! YeJk YJkae Ye[1 Y1[8e YJ1[e YJ8ke S[Yke Yk",
+"[Se! ]ke ak]e [Yle lY[8e ]le ls]e Yk[f Yfk[+ JfYk gYk[f Y1[f [f1Y+ [f1YJ g[",
+"1Yf fkS[ Sf[+k ]fk gf]k [lSf lYf[+ ]lf gl]f ke[m [mke! [mDke [amke 1e[m [1m",
+"8e [1mDe [1aem S[kem [mkSe! SVekm SakVem le[p [pl8e [plVe [psle km[* [+mke ",
+"[m*Dk [amk* 1m[* [>1em [1mD* >kDeP S[;ke S+k[m* SVek; S+kVem l*[p [p*l> [p*",
+"Vl V>eSl Yk[em [meYk! YJkem YaeJkm Y1[5e Y1e[8m YJ5ke Y1e[5a Yk[Sem ke[mSY!",
+" ke]m ]akem [plYe lY8[pe le]p ]lpse fk[v [vf+k [vJfk g[vfk f1[v [v1f> [v1Jf",
+" J>kYf [vfSk Sf+[vk fv]k ]gfvk [plf fp[l> lf]p yl]f ht[ [&ht hD[t ht[c h1[ ",
+"[:h hD[1 [ch: [thM ht[M& V[ht Vh[tc lh[ lh[: [lVh u[h t*[ [-t tD[* [ct- [1t",
+"* [:- t*[1D :c[- tM[* [t-M V[t* V[t- t*[l l-[ lhV[* u[- [htG tG[h& [Jht tJ[",
+"hc hG[1 [h:G [Jh1 hJ[: tG[hM [h&tGM tJV[h Vh[tJc [hlG [:lhG hJ[l hJu[ tf[ [",
+"-tf [ftJ i[t h1[f :f[ [f1tJ i[: [tfM [-tfM V[tf V[it [ltf [:lf lJh[f ui[ h2",
+"[t ht[&2 ht[D2 [cht2 [ht5 h5[: t5[hD [:hc5 ht[M2 hM&[t2 Vh[t2 [ctVh2 h5[l [",
+":lh5 lhV[5 h5u[ [ht; t;[- t;[hD [-tc; [1h; [:h> t5[D* [:-c> t;[hM [-tM; Vh;",
+"[t V-[t; h;[l [>l- lh;V[ h>u[ tG[h2 [h&tG2 tJ[h2 [chtJ2 tG5[h [:hG5 tJ5[h :",
+"J[h5 [h2tGM hG[&tM2 Vh[tJ2 h2tJ[cV lh[G5 lhG[:5 lJh[5 uh5[J t;[f [-tf; tJ;[",
+"f t;i[ t5[f [>tf tf5[J t>i[ tf[M; tfM[-; tfV[; iV[t; lh;[f l-[f> Vf5[t i[u>",
+" htP h&tP hDtP tchP tPh1 hP[: htP1D [:hcP Sht S&ht VhSt htSc Shl Sh: SlVh u",
+"hS t*hP hPt- tP*hD [-tcP tP*h1 :P[- tPD[1* [:-cP S*ht St[- St*Vh V-[St l*Sh",
+" Shl- ShlV* Shu- tYh Y&ht tJhY htYc h1tY hY[: hY1tJ tY:hJ tYSh ShtY& ]ht ht",
+"]c lYh Y:Sh ]lh ]uh tYf tY- YJtf itY Y1tf Y:tf tYfJ1 tYi: Sft tYS- ]tf ]it ",
+"Shlf tYl- lf]h ui] tmhP tm[h& tm[hD [cmht t5hP hm[: t5PhD [:mhc hmSt Shtm& ",
+"VhmSt Shctm tpSh S:hp hplSV hpu[ t;hP tm[- tm[D* [-mtc t5[m* ht>P t5Dh;P [:",
+"-cm h;St [-mSt Sh;Vt V-[tm l;Sh S:h> [p*Vt h>uS hmtY tYhm& tJmhY tYchm h5tY",
+" [:mhY tY5hJ [:mhJ ShtYm tYmSh& ht]m ]htcm hplY [p:hY hp]l ]puh tYhv Y-tv h",
+"v[tJ tYiv h1[v tYh> [v1hJ tYi> tvSh [-vSt hv]t ]tiv hvlY h>lY lv]h ]yui n n",
+"! nB an n. 8n n.B 8na nK n!K Tn Tna nj 8nj Tnj sn n( +n n(B +na n(. +n8 .Bn",
+"( +8an n(K +nK Tn( +Tn nj( +nj T(nj sn+ nE n!E Hn Hna nE. 8nE Hn. H8n nEK E",
+"Kn! HnT HTan njE 8Enj Hnj snH dn +nd Hnd gn dn. 8dn H.dn gn8 dnK +Kdn Tdn g",
+"nT dnj dn+j dnHj gsn 4n 4n! 4nB 4an 5n 48n 5nB 5an 4nK n!4K 4Tn Tn4a 4jn 8n",
+"4j 5Tn s4n ;n 4+n ;nB a;n 5n; >n 5B;n >na ;nK 4K+n T;n +n4T ;nj >nj T;5n >n",
+"s 4nE n!4E 4Hn Hn4a 5nE 4E8n H5n Hn48 nE4K 4nE!K Hn4T 4HTan 4Enj njE48 Hn4j",
+" 4Hsn 4dn +n4d H;n g4n 5dn >nd 5dHn >ng 4Kdn dnK4+ T;Hn 4Tgn dn4j dn>j Td5n",
+" gs>n Pn n!P PnB aPn Pn. 8Pn n.PB aP8n Qn Qn! QnT Qan Qnj Q8n PjTn sPn Pn( ",
+"+Pn n(PB aP+n n(P. 8P+n Pn(.B aPn+8 Qn( +Qn Q(Tn Qa+n Q(nj Q8+n Pj(Tn +Qsn ",
+"Wn Wn! HPn Wan Wn. W8n H.Wn W8Hn WnQ Q!Wn Zn Zna Wnj Q8Wn Znj sZn Wnd +Wn d",
+"PHn gPn W.dn W8+n dP.Hn W8gn Qdn Wn+Q Znd gZn dnWj Wn+j dnZj gnsZ o o! oB o",
+"a o5 o8 o5B o8a oQ o!Q oT oTa op op8 opT os o; o+ o;B o+a o5; o> 5;oB o>a o",
+"Q; o+Q oT; o+T op; o>p pTo; os> oW o!W oH oHa o5W o8W oH5 oH8 oWQ Q!oW oZ o",
+"Za opW pWo8 oZp osZ ov ov+ ovH go ov5 o>v vHo5 go> ovQ v+oQ oZv goZ opv pvo",
+"> opZv yo n# &n n#B an& n#. 8n& .Bn# 8a&n n#K &nK Tn# T&n nj# &nj T#nj sn& ",
+"n#( +n& #Bn( +a&n #(n. +8&n n#(.B an&+8 #(nK +K&n n#T( T&+n j#n( &n+j nj#T(",
+" +ns& n#E &nE Hn# H&n #En. 8E&n n#H. 8nH& EKn# nK&E H#Tn T&Hn j#nE &Enj H#n",
+"j H&sn dn# d&n H#dn gn& n#d. d&8n dn#H. 8ng& n#dK dK&n T#dn T&gn d#nj &ndj ",
+"dnjH# g&sn 4n# 4&n n#4B an4& 5n# 5&n n#5B an5& n#4K 4K&n 4#Tn Tn4& 4#nj &n4",
+"j 5#Tn 4&sn ;n# ;&n nB;# ;&an 5#;n >n& ;n#5B an>& n#;K ;K&n T#;n ;&Tn ;#nj ",
+"&n>j ;njT# >&sn n#4E 4E&n 4#Hn Hn4& n#5E 5E&n H#5n 5&Hn 4n#EK &nE4K 4HTn# 4",
+"H&Tn nj#4E &nj4E 4Hjn# snH4& 4#dn dn4& H#;n 4&gn 5#dn d&>n H5nd# >&gn dn#4K",
+" d&n4K 4Tdn# g4T&n dnj4# >nd&j ;njH# >ngs& Pn# P&n n#PB P&an n#P. P&8n Pn#.",
+"B aP&8n Qn# Q&n Q#Tn T&Qn Q#nj 8nQ& Pj#Tn Q&sn n#P( P&+n Pn#(B aP&+n Pn#(. ",
+"P&n+8 n#(P.B +P8an& n#Q( Q&+n QnT#( +QnT& Pj#n( P&j+n TP#nj( sP+&n Wn# W&n ",
+"H#Wn W&Hn n#W. 8nW& HPn#. H8P&n W#Qn Q&Wn Zn# Z&n W#nj &nWj njZ# Z&sn W#dn ",
+"W&+n dP#Hn W&gn dP#n. dP&8n HP#dn. gP8&n Q#dn d&Qn dnZ# Z&gn dPjn# dP&nj Zn",
+"dj# Z&ngs o# o& o#B oa& o5# o8& 5Bo# 5ao& oQ# o&Q oT# oT& op# op& pTo# os& ",
+"o;# o+& ;#oB a;o& 5;o# o>& o5;#B >&oa Q;o# +Qo& T;o# +To& p;o# p>o& opT;# o",
+"&s> oW# o&W oH# oH& 5Wo# 5Wo& H5o# H5o& WQo# W&oQ oZ# oZ& pWo# oWp& Z#op Z&",
+"os ov# ov& vHo# go& v5o# v>o& ovH5# o&g> vQo# oQv& Z#ov Z&go o#pv pvo& oZpv",
+"# yo& nC n!C Dn Dna nC. 8nC Dn. D8n nCK CKn! DnT DTan njC 8Cnj Dnj snD nC( ",
+"+nC Dn( +Dn C(n. +C8n n(D. D8+n CKn( nC+K D(Tn Dn+T jCn( +Cnj D(nj +Dsn nCE",
+" !CnE HnD HDan CEn. nC8E H.Dn D8Hn EKnC n!CEK HDTn HnDTa jCnE njC8E DnHj Hn",
+"sD dnC +Cdn Ddn gnD nCd. 8Cdn D.dn D8gn nCdK dnC+K TdDn DngT dCnj dnj+C dnD",
+"j gDsn 4nC n!4C 4Dn Dn4a 5nC 4C8n 5Dn D85n nC4K 4nC!K Dn4T 4DTan 4Cnj njC48",
+" Dn4j 4Dsn ;nC 4C+n D;n +n4D 5C;n >nC D;5n >nD nC;K ;nC+K T;Dn a;nDT ;Cnj n",
+"j>C ;nDj >Dsn nC4E 4nC!E Hn4D 4HDan nC5E 48nCE 5DHn 4H8Dn 4nCEK n!C4EK 4HDT",
+"n HnD4Ta njC4E 48CnjE 4HjDn snH4D 4Cdn dnC4+ D;Hn 4Dgn 5Cdn dn>C Dd5n >Dgn ",
+"dnC4K 4+CdnK 4DdTn g4DTn dnj4C >ndjC dnj4D >ngsD PnC PCn! DPn aPDn nCP. Pn8",
+"C PnD. 8PDn QnC n!QC QDn DnQa QCnj QC8n DjQn QDsn nCP( Pn+C PnD( DP+n PnC(.",
+" +P8nC DPn(. +DP8n nCQ( +CQn Q(Dn QD+n PjCn( +Qn8C QDnj( sP+Dn WnC n!WC WDn",
+" DnWa nCW. WC8n W.Dn D8Wn WCQn WnQ!C ZnD DnZa WCnj W8nQC DnZj sDZn WCdn +CW",
+"n DdWn WDgn dPCn. +Wn8C WDnd. gPD8n QCdn +WnQC DdZn gDZn dPjnC +WnjC ZnDdj ",
+"gZnsD oC o!C oD oDa o5C o8C oD5 oD8 oQC Q!oC oDQ QDoa opC p8oC opD osD o;C ",
+"o+C oD; o+D 5;oC o>C 5Do; o>D Q;oC +QoC QDo; +QoD p;oC >Cop o;pD oDs> oWC W",
+"!oC oHD WDoa 5WoC W8oC H5oD H8oD WQoC o!WQC oZD ZDoa pWoC opW8C oDZp oDsZ o",
+"vC v+oC ovD goD v5oC >Cov o5vD oDg> vQoC ov+QC oDZv oDgZ oCpv o>pvC pvoD yo",
+"D bn bn& bnD cn bn. b8n b.Dn cn8 bnK bK&n bTn cnT bnj 8nbj Dnbj scn bn( b+n",
+" b(Dn cn+ n(b. +nb8 bnD(. +nc8 n(bK bK+n b(Tn +Tcn b(nj +nbj bTnj( s+cn bnE",
+" bE&n bHn cnH nEb. bE8n b.Hn H8cn nEbK &nEbK HnbT HncT bEnj &njbE Hnbj sHcn",
+" bdn +nbd Hnbd gcn b.dn 8dbn bHnd. g8cn bKdn d&nbK Tdbn gTcn dnbj d&nbj dnj",
+"bH gnsc 4bn bn4& bn4D c4n b5n bn48 5Dbn c5n 4Kbn &nK4b bn4T 4Tcn bn4j &nj4b",
+" 5Tbn c4sn b;n bn4+ D;bn c;n 5nb; >nb b5nD; c>n bK;n ;&nbK T;bn T;cn ;nbj b",
+"n>j ;njbT sc>n 4Ebn &nE4b bn4H 4Hcn bE5n 4b8nE H5bn H5cn 4bnEK 4bE&nK 4bHTn",
+" c4HTn 4bjnE &nE4bj 4bHnj c5nsH bn4d d&n4b H;bn c4gn 5dbn bd>n bH5dn gc>n 4",
+"bdnK d&Kb;n 4bTdn c;ngT dnj4b >nbdj ;njbH c>ngs bPn P&bn DPbn cPn Pnb. 8Pbn",
+" bPDn. 8Pcn bQn Q&bn QDbn cQn Qnbj Q8bn bQnDj cQsn Pnb( +Pbn bPDn( +Pcn bPn",
+"(. b+P8n DP(bn. cP+8n b(Qn +Qbn bQnD( +Qcn bQnj( b+Q8n Pj(bTn cQns+ bWn W&b",
+"n HPbn cWn b.Wn W8bn bHPn. W8cn WnbQ bWnQ& Zbn Zcn Wnbj &njbW bnZj snZc Wnb",
+"d +Wbn bHPdn cWgn bWnd. b+W8n dP.bHn cWng8 Qdbn d&nbQ bdZn gnZc dPjbn b+Wnj",
+" Zbndj Zcngs ob ob& obD oc ob5 ob8 b5oD oc5 obQ bQo& obT ocQ opb pbo8 pboD ",
+"osc ob; ob+ b;oD oc+ b5o; o>b ob5D; oc> bQo; b+oQ bTo; o+cQ o;pb p>ob opbD;",
+" c>os obW bWo& obH ocH b5oW bWo8 bHo5 oHc5 bWoQ obWQ& oZb ocZ oWpb opbW8 op",
+"Zb Zcos ovb vbo+ vboH goc o5vb v>ob ovbH5 c>go oQvb ovb+Q ovZb Zcgo pvob o>",
+"bpv oZbpv yoc 6n 6!n 6nB 6an 1n 68n 1nB 1an 6nK n!6K 6Tn Tn6a 6jn 8n6j 1Tn ",
+"s6n 6n( 6+n n(6B +n6a 1n( 1+n n(1B +n1a n(6K 6K+n 6(Tn +n6T 6(nj +n6j 1(Tn ",
+"6+sn 6nE n!6E 6Hn Hn6a 1nE 6E8n 1Hn H81n nE6K 6!nEK Hn6T 6HTan 6Enj njE68 H",
+"n6j 6Hsn 6dn +n6d Hn6d g6n 1dn +n1d Hn1d g1n 6Kdn dnK6+ Tn6d 6Tgn dn6j dnj6",
+"+ Td1n s6gn 46n 4n6! 6n4B 46an 7n 78n 7Bn 7an 6n4K 6!4nK 46Tn 4T6an 7nj 8n7",
+"j 7Tn 7sn 6;n +n6; 6B;n an6; 7;n >n7 ;n7B 7a>n 6K;n ;nK6+ Tn6; a;n6T ;n7j 7",
+"n>j T;7n >n7s 6n4E 6!4nE 46Hn 4H6an 7nE 8n7E 7Hn H87n 46nEK 4nE6!K 4H6Tn 6H",
+"T4an nj7E 78njE Hn7T 7Hsn dn6; 4+6dn Hn6; 6;gn 7dn 7d>n H;7n g7n dnK6; 4+6d",
+"nK 4Td6n g46Tn dn7j 7>dnj Td7n gn7s 6P 6P! 6PB 6aP 6P1 68P 6B1P 1a6P 6QP Q!",
+"6P 6TP Qa6P 6Pj Q86P 1T6P s6P 6P( 6+P P(6B +P6a 6(1P 1+6P 6P1(B 6+P1a 6(Qn ",
+"+Q6P 6(TP +T6P 6(Pj +Q1n 6TP1( 6+sP 6WP 6!Wn 6HP HP6a 1Wn W86P 1H6P H86P Wn",
+"6Q 6WQn! Z6P 6aZn Wn6j 6W8Qn Z1n Z6sP 6dP +W6P HP6d g6P 1d6P +W1n 6HP1d 68g",
+"P Qd6P 6+WQn 6dZn Z6gP Qd1n dPj6+ 1dZn s6gP o6 o!6 o6B oa6 7o 7o8 7oB 7oa o",
+"6Q 6Qo! oT6 6Qoa 7op o87p 7oT os7 o6; o+6 6;oB 6+oa 7o; o>7 o;7B 7ao> 6Qo; ",
+"6+oQ 6To; 6+oT 7;op 7po> 7;oT o>7s o6W 6Wo! oH6 6Hoa 7oW o87W 7oH oH7a 6WoQ",
+" o!6WQ oZ6 oaZ6 op7W 7opW8 7Zo os7Z ov6 v6o+ v6oH go6 7vo o>7v ov7H go7 oQv",
+"6 ov6+Q ovZ6 g6oZ op7v 7p>ov oZ7v yo7 9n 6&n 9nB 9an 9n1 :n 1B9n :na 9nK 6K",
+"&n 9Tn T&9n 9nj :nj 1T9n s:n 9n( 9+n n(9B +n9a 9(1n :n+ 9n1(B +n:a n(9K 9K+",
+"n 9(Tn +T9n 9(nj +n:j 9Tn1( s+:n 9nE 6E&n 9Hn H&9n 9E1n :nE 1H9n :Hn nE9K &",
+"nE6K Hn9T 6H&Tn 9Enj nj:E Hn9j :Hsn 9dn +n9d Hn9d g9n 1d9n :dn 9Hn1d g:n 9K",
+"dn d&n6K Td9n 9Tgn dn9j dn:j dnj9H gns: 49n 9n4& 4B9n 9n4a 79n 7:n 9n7B :n7",
+"a 4K9n &nK49 9n4T 49Tan 9n7j 7j:n 9T7n 7:sn 9;n 9n4+ 9B;n a;9n 9;7n >n: 7B9",
+";n :a>n 9K;n ;&n6K T;9n a;n9T ;n9j >j:n 7T9;n s:>n 4E9n &nE49 9n4H 49Han 9n",
+"7E 7E:n 9H7n :n7H 49nEK 49E&nK 49HTn 9Hn4T& 79njE 7:njE 7H9Tn 7:Hsn 9n4d d&",
+"n49 H;9n 49gn 9d7n :d>n 7H9dn >ng: 49dnK d&K9;n 49Tdn g49Tn 7d9nj 7:dnj 7Td",
+"9n g:n7s 6P9 6P& 6B9P 9a6P 1P9n :P6 6P19B 6a:P 9Qn Q&6P 9T6P Qa9n 9P6j :Qn ",
+"6TP9j :Qsn 6(9P 9+6P 6P9(B 6+P9a 6P19( 6+:P 1P(9nB :P6+a 9(Qn +Q9n 6TP9( 6+",
+"T9P 6Pj9( +Q:n Pj(9Tn :Qns+ 9Wn W&6P 9H6P HP6& 1W9n :Wn 6HP91 6H:P Wn9Q 6W&",
+"Qn Z9n 6PZ& Wn9j Wn:Q 9nZ1 Z:n 9d6P +W9n 6HP9d 6Pg9 6dP91 6d:P 1HP9dn :Wgn ",
+"Qd9n dP&6Q 9dZn Z9gn dPj9n Qd:n Z9n1d gnZ: o9 o9& o9B o9a 7o9 o: 7Bo9 o:a o",
+"9Q 6Qo& o9T 6To& op9 o:p o97T os: o9; o9+ 9;oB 9+oa 7;o9 o:> 7o9;B oa:> 9Qo",
+"; 9+oQ 9To; 9+oT o;p9 o>:p 7oT9; s:o> o9W 6Wo& o9H 6Ho& o97W o:W o97H o:H 9",
+"WoQ o9WQ& oZ9 o9Z& oWp9 op:W Z97o Z:o ov9 v6o& v9oH go9 o97v :vo 7oHv9 go: ",
+"oQv9 ov9+Q ovZ9 g9oZ pvo9 op:v oZ97v yo: 6nC n!6C 6Dn Dn6a 1nC 6C8n 1Dn D81",
+"n nC6K 6!nCK Dn6T 6DTan 6Cnj njC68 Dn6j 6Dsn nC6( 6C+n 6(Dn +n6D nC1( 1C+n ",
+"1(Dn +D1n 6nC(K 6+nCK 6DTn( 6+DTn njC6( 6+jnC 6Djn( sn+6D nC6E 6!nCE Hn6D 6",
+"HDan nC1E 68nCE Hn1D 6H8Dn 6nCEK n!C6EK 6HDTn HnD6Ta njC6E 68CnjE 6HjDn snH",
+"6D 6Cdn dnC6+ Dn6d 6Dgn 1Cdn 68dnC Dd1n 1Dgn dnC6K 6+CdnK 6DdTn g6DTn dnj6C",
+" dnC6+j dnj6D gs6Dn 6n4C 6!4nC 46Dn 4D6an 7nC 8n7C 7Dn D87n 46nCK 4nC6!K 4D",
+"T6n 6DT4an nj7C 78njC Dn7T 7Dsn 6C;n ;nC6+ Dn6; a;n6D ;n7C 7n>C D;7n 7D>n ;",
+"nC6K 6+C;nK 6D;Tn +Dn6T; ;nj7C 7>jnC 7DT;n 7s>Dn 46nCE 4nC6!E 4H6Dn 6HD4an ",
+"nC7E 78nCE Hn7D 7HD8n 6nC4EK 4n6!EKC 6HD4Tn 46anHDT 7njCE njC78E 7HDTn 7sHD",
+"n dnC6; 4+6dnC 4Dd6n g46Dn dn7C 7>dnC Dd7n 7Dgn 6dC;nK dn6;+CK Ddn6T; 6D;gn",
+"T 7dnjC >nj7dC 7DdTn g7sDn 6PC PC6! 6DP DP6a 6C1P 6C8P 1D6P D86P 6CQn 6QP!C",
+" QD6P 6QDaP 6CPj 6Q8PC QD1n 6DsP PC6( 6C+P 6(DP +D6P 6P1C( 6+P1C 6DP1( 6+D1",
+"P 6QPC( 6+QPC 6QDP( 6+QDP 6PjC( 6+PjC 6DPj( s6P+D 6CWn 6WP!C HP6D 6HPDa 1CW",
+"n 6W8PC WD1n 6H8DP 6WQPC WnC6Q! 6DZn Z6DaP 6WjPC PjC6W8 1DZn Z1nsD 6CdP 6+W",
+"PC Dd6P 6DgP 6dP1C 68dPC 6Dd1P g6P1D 6QdPC dPC6+Q Z6DdP gZ6DP dPj6C dPC6+j ",
+"Z1nDd Z1ngD o6C 6!oC oD6 6Doa 7oC 7Co8 7oD oD7a 6QoC o!6QC 6QoD oD6Qa 7Cop ",
+"7op8C op7D 7Dos 6;oC 6+oC 6Do; 6+oD o;7C >C7o 7;oD 7Do> o6Q;C o+6QC oD6Q; o",
+"+D6Q 7op;C 7p>oC 7oDp; os7>D 6WoC o!6WC 6HoD oH6Da oW7C 7oW8C oH7D 7oHD8 o6",
+"WQC 6WQo!C oDZ6 oZ6Da 7opWC op87WC 7DoZ osZ7D oCv6 ov6+C v6oD oDg6 7Cov 7vo",
+">C ov7D 7Dgo ov6QC v6Qo+C Zv6oD goZ6D 7vopC o>p7vC 7vDoZ 7oyD b6n 6&bn 9Dn ",
+"c6n b1n :nb 1Dbn :cn bK9n &nKb6 6Tbn 6Tcn 6jbn bn:j 1Tbn :csn b(9n 6+bn 9(D",
+"n 6+cn b(1n b+:n b1nD( :+cn b6n(K b6+nK b6Tn( c6+Tn b6jn( :nb+j b1Tn( :cns+",
+" bE9n &nEb6 6Hbn 6Hcn bE1n bn:E 1Hbn cn:H b6nEK b6E&nK b6HTn c6HTn b6jnE :n",
+"bjE b6Hnj :cnsH 6dbn d&nb6 Dd9n c6gn 1dbn bd:n b1Hdn :cgn b6dnK dnKb6+ b6Td",
+"n gc6Tn dnjb6 :dnbj dnj9D g:nsc bn49 4b6&n 9n4D 49cn 7bn :n7b bn7D 7cn 4b6n",
+"K 4b6&nK 4bT9n c46Tn bn7j 7:bnj bT7n sn7c 6;bn ;&nb6 D;9n 6;cn b;7n 7b>n 7b",
+"D;n >n7c b6;nK ;nKb6+ b6T;n c6;Tn 7b;nj 7>bnj 7bT;n c>n7s 4b6nE 4b6&nE 4bH9",
+"n c46Hn bn7E 7:bnE bH7n cn7H bnE49K 4Eb6&nK bHn49T 49HcnT 7bnjE :nj7bE 7bHT",
+"n 7csHn 4bd9n b6d;&n 49Ddn c6;gn bd7n 7:dbn 7bHdn gn7c dnKb6; dn4&b6K bTn49",
+"d c4Tg9n 7bdnj 7bj:dn 7bTdn g7csn b6P 6&bP 6DbP c6P 6Pb1 b6:P b6P1D c6:P 6Q",
+"bP b6QP& 6TbP 6QcP 6Pbj bQ:n b6T1P c6sP b(6P 6+bP b6PD( 6+cP b6P1( :Pb6+ b6",
+"(1DP :cP6+ b6QP( b6+Qn b6TP( c6Q+P b6Pj( :Qnb+ Pj(b6T :cQ+n 6WbP b6WP& 6HbP",
+" 6HcP 1Wbn bW:n b6H1P cW:n b6WQn 6W&bQn b6Zn c6Zn b6WPj :WnbQ b1Zn :cZn 6db",
+"P dP&b6 b6HdP c6gP b6d1P :Wnb+ 6HPb1d g:Pc6 b6QdP b6QdP& Zb6dP Zc6gP dPjb6 ",
+":Qdbn Zb1dn Z:ngc ob6 b6o& o9D oc6 7ob o:b ob7D 7co b6oQ ob6Q& b6oT o9cQ op",
+"7b ob:p ob7T os7c b6o; b6o+ 9Do; o9c; 7;ob 7bo> 7obD; c>o: ob6Q; ob+6Q obT6",
+"; oc6+Q 7obp; o:p>b 7obT; os:c> b6oW ob6W& b6oH o9cW ob7W ob:W ob7H 7Hoc ob",
+"6WQ b6Wo&Q obZ6 Z6oc 7obpW o:pbW 7boZ oc7Z vbo9 ovb6+ v9oD g6oc ov7b ob:v 7",
+"vboH 7cgo ovb6Q obQv6& oZbv6 cv6oZ 7vbop :vopb 7Zbov 7cyo Rn Rn! RnB Ran Rn",
+". R8n n.RB 8nRa Mn Mn! RTn aMn Rjn 8Mn TnRj sRn Rn( R+n n(RB +nRa n(R. +nR8",
+" Rn(.B R+8an Mn( +Mn R(Tn +nRT R(nj +nRj Mn(Tj R+sn RnE n!RE RHn HnRa nER. ",
+"RE8n R.Hn HnR8 MnE MEn! HMn aMHn REnj 8EMn HnRj RHsn Rdn +nRd HnRd gRn R.dn",
+" 8nRd dn.RH R8gn dMn dM+n TnRd gMn dnRj dM8n dMnHj sRgn R4 R4! R4B R4a R45 ",
+"R48 RB5n 48Ra R4M 4!Mn R4T 4TRa R4j 48Rj 4TR5 sR4 R4; R4+ RB;n 4+Ra 5nR; >n",
+"R ;nBR5 R4>a M;n 4MR+ 4TR; 4+RT 4jR; >Mn M;n5T sR>n R4E 4!RE R4H 4HRa RE5n ",
+"RE48 4HR5 4HR8 RE4M MnE4! 4HRT aMn4H RE4j R48ME 4HRj R4sH R4d 4+Rd 4HRd gR4",
+" 4dR5 R4>d R4H5d gR>n 4MRd dMn4+ 4TRd R4gM 4dRj dM>n dMnH5 gM>n RPn n!RP Pn",
+"RB RPan PnR. RP8n RPn.B aPnR8 Sn S!n STn San Snj S8n TnSj Ssn PnR( RP+n RPn",
+"(B aPnR+ RPn(. R+8Pn Pn(R.B R+8aPn Sn( S+n TnS( +TSn njS( +nS8 STnj( S+sn R",
+"Wn R!Wn HnRW WnRa R.Wn WnR8 RHWn. RH8Wn SWn WnS! SZn ZnSa WnSj W8Sn SjZn sn",
+"SZ WnRd +nRW RHWdn RWgn dP.Rn R+W8n RHWdn. gRW8n Sdn +WSn ZnSd gSn dnSj 8dS",
+"n SZdnj gnSs oR o!R oRB oaR oR5 o8R R5oB R5oa So So! SoT Soa Sop So8 oTSp o",
+"sS oR; o+R R;oB R+oa R5o; o>R oR5;B >Roa So; So+ oTS; o+Sa opS; S>o SpTo; o",
+"sS> oRW RWo! oHR RHoa R5oW RWo8 RHo5 RHo8 SoW o!SW oZS SaoZ SWop SWo8 SpoZ ",
+"oZSs ovR vRo+ vRoH goR o5vR vRo> ovRH5 gRo> Svo ovS+ oZSv goS opSv o>Sv SZp",
+"ov yoS Rn# R&n n#RB anR& n#R. 8nR& Rn#.B an&R8 Mn# M&n R#Tn TnR& R#nj M&8n ",
+"Mn#Tj R&sn n#R( +nR& Rn#(B an&R+ Rn#(. R+8&n n#(R.B R+8an& n#M( M&+n Mn#T( ",
+"aMn+& Mn#j( M&n+j RT#nj( sn+R& n#RE RE&n R#Hn HnR& Rn#E. &nER8 RHn#. RH8&n ",
+"n#ME ME&n H#Mn M&Hn Mn#jE M&n8E RHjn# snHR& R#dn dnR& dn#RH R&gn dn#R. d&nR",
+"8 RH#dn. gR8&n d#Mn M&dn dMnH# M&gn dMnj# dM&8n dM#Hnj gsR&n R4# R4& 4#RB 4",
+"aR& R#5n 48R& R45#B R48a& R#4M 4MR& R#4T 4TR& R#4j 4&Rj R4T5# R4s& R#;n 4+R",
+"& ;n#RB a;nR& ;n#R5 R4>& R5#;nB >nRa& M#;n ;&Mn M;nT# aM;&n M;n5# M&>n M;#5",
+"Tn >Mns& 4#RE RE4& R#4H 4HR& R45#E R48&E R4H5# R4H5& Mn#4E M&n4E R4HT# M&n4",
+"H R4j#E M&n5E R4Hj# sR4H& R#4d 4dR& R4Hd# R4g& R4d5# >nRd& dn#RH5 >ngR& dMn",
+"4# dM&R4 M;nH# gR4T& dMn5# >Mnd& dM#H5n >Mg&n PnR# RP&n RPn#B aP&Rn RPn#. P",
+"&nR8 Pn#R.B R8aP&n Sn# S&n TnS# T&Sn njS# 8nS& STnj# S&sn RPn#( P&nR+ Pn#R(",
+"B R+aP&n Pn#R(. R+8P&n .BR(Pn# aP8nR+& n#S( +nS& STn#( S+T&n Snj#( S+8&n nj",
+"#ST( Ss+&n R#Wn WnR& RHWn# RH&Wn RWn#. RW8&n Hn#RW. H8nRW& WnS# W&Sn S#Zn Z",
+"nS& SWnj# S8W&n SZnj# SZ&sn dP#Rn dP&Rn RHWdn# gRW&n RW#dn. RW8d&n dPHnR#. ",
+"RW8gn& dnS# d&Sn SZdn# S&gn Sdnj# S8d&n ZnjSd# gSs&n oR# o&R R#oB Rao& R5o#",
+" R5o& oR5#B o8Ra& So# So& S#oT oTS& S#op opS& SpTo# S&os R;o# R+o& oR;#B o+",
+"Ra& oR5;# >Ro& R5;o#B o>Ra& o;S# o+S& S;To# Sa;o& Sp;o# S&o> opTS;# os>S& R",
+"Wo# RWo& RHo# RHo& oR5W# o8RW& oHR5# oH8R& oWS# SWo& S#oZ S&oZ SpWo# Sp&oW ",
+"SZpo# osZS& o#vR vRo& ovRH# o&gR ovR5# o>vR& vR5oH# go>R& S#ov ovS& SvoZ# S",
+"&go Svop# Sv&o> oZpSv# Soy& Un Un! RDn Uan Un. U8n R.Dn D8Un UnM U!Mn Vn Vn",
+"a Unj 8MUn Vnj snV Un( U+n R(Dn +DUn n(U. +nU8 RDn(. R+D8n U(Mn +MUn Vn( V+",
+"n U(nj +nUj njV( V+sn UnE n!UE UHn HnUa nEU. UE8n U.Hn H8Un UEMn MnEU! VnH ",
+"HnVa UEnj U8nME HnVj sHVn Udn +nUd HnUd gUn U.dn 8dUn RDdn. U8gn dMUn dMnU+",
+" Vdn gVn dnUj dMnU8 dnVj sngV R4U 4!Un R4D 4URa U5n 4UR8 4DR5 4DR8 Un4M Mn!",
+"4U V4R R4Va 4URj R48Uj V5n V4sR U;n 4UR+ 4DR; 4+RD 5nU; >nU R4D5; R4>D M;Un",
+" M;nU+ V;n R4V+ ;nUj Un>M 5nV; V>n RE4U R4U!E 4URH R4HUa UE5n R48UE H5Un R4",
+"HU8 MnE4U 4UEMn! R4VH V4RHa R4jUE MnE4U8 H5Vn snV4H 4URd R4+Ud 4DRd R4gU 5d",
+"Un Ud>n R4D5d gU>n dMn4U 4U+dMn R4Vd V4gR dMnU5 >MnUd 5dVn >ngV UPn n!UP DP",
+"Un aPUn PnU. 8PUn RDPn. RD8Pn SUn UnS! SVn VnSa UnSj U8Sn SjVn snSV PnU( +P",
+"Un RDPn( R+DPn UPn(. U+P8n DP(Un. +DPU8n UnS( U+Sn S(Vn VnS+ SUnj( S+U8n SV",
+"nj( SV+sn UWn U!Wn HPUn WaUn U.Wn W8Un RWDn. RWD8n UWSn S!UWn ZnV ZaVn WnUj",
+" S8UWn ZjVn VZsn WnUd +WUn RWDdn UWgn UWnd. U+W8n dP.UHn gUP8n UdSn S+UWn V",
+"dZn SVgn SdUnj S8dUn SVdnj gVnSs oU oU! oUD oUa oU5 oU8 R5oD RDo8 SoU S!oU ",
+"oV oVa opU oUS8 oVp oVs oU; oU+ RDo; R+oD U5o; o>U oU5D; >RoD oUS; oUS+ oV;",
+" oV+ o;pU oUS> V;op oV> oUW UWo! oUH UHoa U5oW UWo8 UHo5 UHo8 SWoU oUWS! oV",
+"Z VZoa oWpU opUW8 VpoZ sZoV ovU vUo+ vRoD goU o5vU v>oU ovUH5 gUo> oUSv Svo",
+"U+ oVv goV pvoU o>USv opVv yoV Rbn U&n bnRD cRn R.bn bnR8 RbDn. R8cn bMn M&",
+"bn Vnb cnV bnRj 8Mbn bnVj cRsn R(bn bnR+ RbDn( R+cn Rbn(. Rb+8n bn(RD. cR+8",
+"n b(Mn +Mbn bnV( V+cn Rbjn( &njU+ Vnbj( snVc+ REbn UE&n bnRH RHcn RbnE. Rb8",
+"nE RbHn. cRH8n bEMn M&nbE bHVn cHVn RbjnE &njUE VnbHj snVcH bnRd d&Un RbHdn",
+" cRgn Rbdn. d&nU8 dn.RbH gcR8n dMbn dM&bn bdVn cngV dMnbj dMnb8 Vdnbj gVnsc",
+" R4b 4bR& 4bRD cR4 4bR5 4bR8 R4b5D R4c5 4MRb M&n4b R4Vb V4cR 4bRj M&nb5 b5V",
+"n cRs4 4bR; 4bR+ R4bD; R4c; R4b5; R4>b b5nRD; cR>n M;bn M;&bn b;Vn V;cn M;n",
+"b5 bM>n V5nb; cnV> RE4b R4b&E 4bRH R4cH R4b5E R4b8E R4bH5 cR4H5 R4bME M&ER4",
+"b V4RbH cR4VH R4bjE M&Eb5n V5nbH cR4sH 4bRd d&n4U R4bH; cRg4 R4b5d >nbRd 4b",
+"HR5d c>Rg4 dMn4b R4bdM& V4dRb gV4cR dMnb5 >Mbdn V5dbn V>ngc UPbn P&Un RbDPn",
+" UPcn RbPn. Rb8Pn bPnRD. cR8Pn Sbn bnS& VnSb Scn bnSj b8Sn SVbnj snSc RbPn(",
+" Rb+Pn bPnRD( cR+Pn UP(bn. U+Pb8n R(bPDn. U+Pcn8 bnS( b+Sn SVbn( cnS+ Sbnj(",
+" Sb+8n VnjSb( Scs+n bnRW W&Un RbHWn RWcn RbWn. RbW8n Rb.WDn cRW8n bWSn SbW&",
+"n ZnSb ZnSc SbWnj Sb8Wn SZbnj ZcnSs RbWdn dP&Un bWnRDd cRWgn dn.RbW b+nRW8 ",
+"R.bHWnd cW8gUn bdSn Sb+Wn SZbdn gnSc Sbdnj Sb8dn SbjVdn gScsn obR oU& RboD ",
+"ocR Rbo5 Rbo8 obR5D oUc5 Sob obS& oVb Sco opSb obS8 obVp osSc Rbo; Rbo+ obR",
+"D; oUc; obR5; >Rob Rb5oD; cRo> obS; obS+ V;ob S+oc Spbo; Sbo> oVpb; ocS> Rb",
+"oW UWo& RboH oUcW obR5W ob8RW obHR5 ocRH5 SWob oU&SW SboZ ZcoV SpboW Sb8oW ",
+"oVZpb oVsZc vRob vUo& ovbRH gRoc ovbR5 o>bvR ob5vRD cvRo> ovSb Svbo+ obVv S",
+"cgo Svbop S>bov oVvpb Scyo q q! qB qa q1 q8 q1B q8a qM q!M qT qTa lq q8l qT",
+"l sq q( q+ q(B q+a q1( q+1 1(qB 1+qa qM( q+M qT( q+T lq( l+q l(qT sq+ qE q!",
+"E qH qHa q1E q8E qH1 qH8 qME MEq! qHT HMqa lqE lEq8 lHq sqH qd q+d qHd gq q",
+"d1 q8d 1Hqd gq1 qdM +Mqd qTd gqT ldq q+ld qHld glq q4 q!4 q4B qa4 7q 7q8 7q",
+"B 7qa q4M 4Mq! qT4 4Tqa 7lq q87l 7qT sq7 q; q+4 q;B qa; 7q; q> 7Bq; q>a q;M",
+" 4+qM qT; 4+qT l;q q>l qTl; sq> q4E 4Eq! qH4 4Hqa 7qE 7Eq8 7qH qH7a 4MqE q!",
+"4ME 4HqT qH4aM lE7q 7lq8E 7qlH 7Hsq qd4 4+qd qH; gq4 7qd q>d qH7d gq7 4dqM ",
+"q+4dM 4Tqd qTg4 7qld ldq> qHl; sqg7 qP q!P qPB qaP q1P q8P 1PqB 1aqP Sq Sq!",
+" SqT Sqa Slq Sq8 qTSl sqS qP( q+P P(qB +Pqa 1Pq( 1+qP q1P(B q+1aP Sq( Sq+ S",
+"(qT q+Sa l(Sq Sql+ SlqT( S+sq qW qW! qHW qWa qW1 qW8 1HqW 1Wqa SqW S!qW Zq ",
+"Zqa lWq qWS8 Zql sqZ qWd q+W HPqd gqW 1Wqd 1+qW qH1dP qWg1 Sqd q+Sd Zqd gqZ",
+" Sqld q+lW ldZq sqgS oq oq! oqB oqa 7oq oq8 7Boq oq7a Soq S!oq oqT oqSa r r",
+"8 rT rs oq; oq+ oBq; q+oa q;7o q>o 7oq;B oaq> Sq; oqS+ qTS; q+oT r; r> r;T ",
+"rs> oqW o!qW oqH qHoa 7qW qWo8 oq7H qHo8 qWSo SqWo! Zqo oaZq rW rW8 rZ rZs ",
+"vq vq+ vqH goq vq7 vq> 7Hvq vqg7 vqS S+vq Zqv Zqgo rv rv> rZv yr q9 q& q9B ",
+"qa9 q91 :q 91qB :qa q9M q&M qT9 qT& lq9 :ql l9qT sq: q9( q+9 9(qB 9+qa 91q(",
+" :q+ q91(B :+qa 9Mq( 9+qM 9Tq( 9+qT q9l( l+:q qTl9( q+s: q9E q&E qH9 qH& 91",
+"qE :qE 9Hq1 :qH 9MqE M&qE 9HqT HMq& q9lE lE:q l9qH lH:q qd9 qd& 9Hqd gq9 9d",
+"q1 :qd qH91d gq: 9dqM dMq& 9Tqd qTg9 l9qd ld:q lHq9d g:sq q49 q&4 49qB 49qa",
+" 7q9 :q7 q97B 7a:q 49qM 4Mq& 49qT 4Tq& l97q 7l:q 79qT :q7s q;9 q;& 9;qB 9aq",
+"; 79q; q>: 7q9;B qa:> 9Mq; M;q& 9Tq; T;q& l9q; :ql> 7qT9; s:q> 49qE 4&qE 49",
+"qH 4Hq& q97E 7E:q 79qH 7H:q q49ME q&4ME qH49T qH&4T 7lq9E :ql7E 7qHl9 :qH7s",
+" 49qd 4dq& 9Hq; q;g9 79qd 7d:q 7qH9d g:q> qd49M qd&4M qH;9T gq49T 7qdl9 q>l",
+":d 7qT9d glq7: q9P q&P 9PqB 9aqP 9Pq1 :qP q91PB qa:P Sq9 Sq& qTS9 qTS& lqS9",
+" S:q Slq9T S:sq 9Pq( 9+qP q9P(B q+9aP q91P( q+:P 9P1q(B :q+aP q9S( q+S9 Sq9",
+"T( Sq+9T Slq9( S+:q qTlS9( sq:S+ qW9 qW& 9HqW 9Wqa 9Wq1 :qW qH91W qH:W qWS9",
+" qWS& Zq9 Zq& l9qW lW:q lqZ9 Zq: 9Wqd 9+qW qH9dP qWg9 qW19d q+:W 9HPqd1 gP:",
+"q qdS9 qdS& qdZ9 g9Zq Sqdl9 Sd:q Zql9d S:gq oq9 oq& q9oB qao9 o97q o:q 7oq9",
+"B oa:q So9 oqS& oTS9 o9Sa r9 r: r9T rs: q;o9 q+o9 oq9;B oq+9a 7oq9; q>o: o9",
+";7qB o:q>a o9S; o9S+ Sq;9T Sqa9; r;9 r:> 9Tr; s:r> qWo9 qWo& qHo9 qHo& 79qW",
+" 7W:q 7oHq9 oq:H SWo9 Sq&oW S9oZ oqZ& r9W r:W rZ9 rZ: vq9 vq& qHv9 g9vq v97",
+"q :vq vq79H :vgq S9vq S&vq Z9vq Sog9 rv9 r:v Zvr9 yr: qU q!U qD qDa q1U q8U",
+" qD1 qD8 qUM U!qM Vq Vqa lqU lUq8 Vql sqV qU( q+U qD( q+D 1Uq( 1Uq+ 1Dq( 1+",
+"qD UMq( U+qM Vq( Vq+ qUl( lUq+ l(Vq l+Vq qUE U!qE qHU UHqa 1UqE U8qE 1UqH U",
+"Hq8 UMqE q!UME VqH VHqa qUlE q8lUE lHVq qHVs qdU U+qd qDd gqU 1Uqd U8qd 1Dq",
+"d qDg1 UdqM q+UdM Vqd gqV lUqd l+qUd ldVq gVsq q4U 4Uq! qD4 4Uqa 7qU q87U 7",
+"qD qD7a 4UqM q!4UM Vq4 qaV4 lq7U 7lqU8 7Vq 7Vsq q;U 4Uq+ qD; 4+qD q;7U q>U ",
+"q;7D q>D U;qM q+4UM Vq; q+V4 lUq; lq>U l;Vq V>q 4UqE q!4UE 4UqH qH4Ua qU7E ",
+"7qU8E qH7U 7qHU8 q4UME 4UMq!E qHV4 Vq4Ha 7lqUE q8l7UE 7HVq sq7VH 4Uqd q+4Ud",
+" 4Dqd qDg4 qd7U >Uqd qD7d gUq> qd4UM 4U+qdM qHV; g4Vq 7qdlU q>lUd 7dVq 7Vgq",
+" qUP UPq! qDP UaqP 1UqP U8qP 1DqP D8qP SqU q!SU VqS SaVq lUSq SUq8 SlVq VqS",
+"s UPq( U+qP DPq( +DqP q1UP( q+1UP qD1P( q+D1P qUS( SUq+ S(Vq S+Vq SlqU( Sq+",
+"lU SlVq( Vq+Ss qWU UWq! qWD UWqa 1UqW UWq8 1WqD WDq8 SUqW SqUW! ZqV qaVZ lU",
+"qW Sq8UW lZVq sZVq UWqd U+qW WDqd qWgU qW1Ud q+W1U qWD1d gq1UW SUqd Sq+UW S",
+"dVq gVZq SqdlU Sq8Ud VqdlZ glqSV oqU q!oU oqD qDoa 7oU o87U oq7D oU7a oUSq ",
+"SqUo! oVq oaVq rU rU8 rV rVs q;oU q+oU q;oD q+oD 7;oU 7Uo> 7oUD; oDq> SUq; ",
+"Sq+oU S;Vq o+Vq r;U r>U rV; rV> qWoU oqUW! qHoU oqHUa oU7W 7oUW8 oU7H 7oUH8",
+" SqUoW oUWSq! oVZq oVZqa rUW UWr8 rZV sZrV vqU q+vU vqD gUvq 7Uvq vUq> 7Dvq",
+" 7ogU vUSq vqSU+ Vvq oVgq rvU v>rU rVv yrV tq tq& tqD cq tq1 :qt t1qD cq: t",
+"qM tMq& Vqt cqV ltq lt:q ltVq uq tq( tq+ t(qD cq+ q1t( t+:q tq1D( q+:c qMt(",
+" tMq+ t(Vq t+Vq l(tq tql+ Vqlt( uq+ tqE tEq& tqH cqH q1tE tE:q t1qH tH:q qM",
+"tE tqM&E tHVq qHVc lEtq :qltE tqlH uqH tqd q+td qHtd gqt t1qd td:q tqH1d g:",
+"cq tMqd tq+dM tdVq gVcq tqld :qdlt Vqdlt uqg tq4 q&t4 qDt4 cq4 7tq :q7t 7Dt",
+"q 7cq q4tM tq4M& t4Vq c4Vq 7ltq 7tl:q Vq7t uq7 tq; q+t4 qDt; cq; 7qt; t>q t",
+"q;7D cq> tMq; tq+4M t;Vq c;Vq tql; ltq> Vq;7t uq> q4tE tq4&E qHt4 qHc4 tE7q",
+" 7tq:E 7qtH 7Hcq tq4ME q&Mt4E tqHV4 cqV4H 7tlqE :ql7tE 7tHVq 7quH qdt4 tq+4",
+"d qHt; g4cq 7qtd tdq> 7tHqd t>gq tqd4M t4Mqd& Vqdt4 cq;gV 7tdlq t>qld 7Vdtq",
+" gqu7 tqP q&tP qDtP cqP q1tP tP:q tq1DP :Pcq Stq S&tq VqSt Scq Sqlt :qSt Sl",
+"Vtq uqS qPt( q+tP tqDP( q+cP tq1P( tq+:P qD1tP( cq:+P S(tq tqS+ StqV( S+cq ",
+"Stlq( St+:q VqlSt( Squ+ tqW q&tW qHtW cqW t1qW tW:q tqH1W :Wcq tWSq Sq&tW t",
+"Zq Zqc tqlW :qWSt ltZq uZq qWtd q+tW tqHdP gPcq tqW1d :qWt+ tW1qDd cqWg: Sd",
+"tq St+qW tdZq Scgq Stdlq S:dtq tZqld gquZ ot ot& otD otc ot7 ot: 7Dot ot7c ",
+"otS S&ot oVt otSc rt rt: rVt ur ot; ot+ oDt; t+oc 7ot; t>o ot7D; oct> S;ot ",
+"S+ot t;oV S;cq rt; rt> t;rV ur> otW o&tW otH tHoc 7otW tWo: 7otH tHo: tWSo ",
+"otSW& tZo octZ rtW t:rW rZt urZ tvo t+vq tHvq got 7tvq ot:v otH7v t>go Stvq",
+" ot+Sv Zqtv tZgo rtv tvr: tZrv ury <n n!< <nB a<n <n. 8<n n.<B a<8n <nK <Kn",
+"! T<n a<Tn <jn <j8n <jTn s<n n* +<n n*B an* n*. 8n* n.*B an8* n*K +Kn* Tn* ",
+"T<+n n*j <j+n njT* sn* <nE <En! H<n a<Hn nE<. <n8E <nH. 8<Hn nE<K n!<EK T<H",
+"n H<Tan <Enj <jn8E <jHn H<sn <dn <d+n Hn* g<n <.dn <d8n H.n* 8<gn dKn* <dn+",
+"K TnH* T<gn dn<j <dj+n n*Hj s<gn 4<n n!4< <n4B 4<an 5<n 8<5n <n5B a<5n <n4K",
+" 4<n!K 4<Tn 4Ta<n <j5n <jn48 T<5n 5<sn =n =+n =Bn =an =5n >n= 5n=B =a>n =nK",
+" +n=K =Tn +T=n =jn =j>n 5T=n s=n <n4E 4<n!E 4<Hn 4Ha<n <n5E 48<nE 5<Hn 4H8<",
+"n 4<nEK n!<4EK 4HT<n H<T4an <jn4E 48<njE 4Hj<n s<H5n =dn +n=d =Hn g=n 5d=n ",
+"=d>n H5=n >ng= dn=K =+dnK Hn=T gn=T dn=j >n=dj Hn=j gns= <P <P! <PB a<P <P.",
+" 8<P P.<B a<8P Q<P Q!<P T<P a<Qn <Pj 8<Qn <jTP s<P <P* +<P *B<P a<+P <.P* 8",
+"<+P <P*.B aP*8< Qn* Q<+P TnQ* T<+P P*<j 8nQ* <PjT* +<sP W<P W!<P H<P a<HP W",
+".<P 8<Wn H.<P 8<HP Q<Wn <P!WQ Z<P a<Zn <PWj <PjW8 <PZj Z<sP Wn* W<+P WnH* g",
+"<P W.n* 8nW* H<Pd. 8<gP QnW* +W<Qn Zn* Z<gP dP<j <dj+P n*Zj s<gP o< o!< o<B",
+" oa< o5< o8< 5<oB 5ao< oQ< Q<o! oT< Qao< op< p<o8 p<oT os< o= o=+ o=B =ao o",
+"=5 o>= o5=B =ao> =Qo o+=Q =To o+=T p=o p=o> op=T s=o oW< W<o! oH< H<oa 5Wo<",
+" W8o< H5o< H8o< W<oQ o!WQ< oZ< oaZ< oWp< opW8< opZ< s<oZ ov= v=o+ =Ho go= =",
+"5ov v>o= =5oH o>g= ov=Q ov=+Q Z=o Z=go ovp= o>pv= p=oZ yo= ,n ,n& ,nB ,an ,",
+"n. ,8n n.,B 8n,a ,nK ,K&n ,Tn T&,n ,nj 8n,j Tn,j sn, ,n* -n *B,n -na ,.n* -",
+"n8 n*.,B 8n-a ,Kn* -nK T*,n -Tn n*,j -nj n*j,T s-n ,nE ,E&n ,Hn H&,n nE,. ,",
+"E8n ,.Hn H8,n nE,K <&EnK Hn,T ,HnT& ,Enj <&jnE Hn,j ,Hsn ,dn -nd Hn,d g-n ,",
+".dn 8d-n ,Hnd. g8-n ,Kdn dn-K Td,n -Tgn dn,j dn-j dnj,H gns- ,4n 4&,n 4B,n ",
+"4a,n ,5n 48,n ,B5n 5a,n 4n,K <&K4n 4T,n ,4Tan 4j,n <&j5n 5T,n ,4sn =n, -=n ",
+",n=B -n=a ,5=n >n- =B5,n -a>n ,n=K =K-n ,T=n -n=T ,n=j -n=j =T5,n >ns- 4n,E",
+" <&E4n 4H,n ,4Han ,E5n ,48nE H5,n ,4H8n ,4nEK ,4E&nK ,4HTn 4H&,Tn ,4jnE <jE",
+"5&n ,4Hnj sn,4H ,d=n =d-n ,H=n -=gn 5d,n -d>n =H5,n g->n =dn,K -=dnK =HT,n ",
+"g=-Tn =jd,n >n-dj =Hj,n s-ng= ,P< <P& ,B<P a<,P ,.<P 8<,P <P.,B <P&8a ,Qn Q",
+"&,n Qn,T Qa,n Qn,j Q8,n <Pj,T ,Qsn P*,n -P< <P*,B a<-P <P*,. 8<-P ,P.n*B -P",
+"8a< Q*,n -Qn ,QnT* Qa-n <Pj,* Q8-n ,TPn*j -Qsn ,Wn W&,n H<,P Wa,n ,.Wn W8,n",
+" ,HP<. <P&H8 Wn,Q <P&WQ Zn, ,aZn Wn,j <P&Wj ,nZj Zns, Wn,d -Wn ,HP<d -Wgn ,",
+"Wnd. W8-n <d.,HP -Wng8 Qd,n Wn-Q ,dZn Z-n <dj,P Wn-j Zn*,j snZ- o, o&< o,B ",
+"oa, o,5 o8, ,5oB ,5oa o,Q ,Qo& oT, ,Qoa op, p<o& p,oT os, o=, o- =Bo, o-a =",
+"5o, o-> o=5,B ->oa o,=Q o-Q o,=T o-T o,p= o-p p=o,T os- o,W ,Wo& oH, ,Hoa ,",
+"5oW ,Wo8 ,Ho5 ,Ho8 ,WoQ o&W,Q oZ, oaZ, oWp, op&,W opZ, s,oZ ov, o-v o,=H go",
+"- o5v, -vo> ov,H5 g-o> oQv, -Qov ovZ, Z-o pvo, op-v oZ,p= yo- <nC <Cn! D<n ",
+"a<Dn nC<. <n8C <nD. 8<Dn nC<K n!<CK T<Dn D<aTn <Cnj <jn8C <jDn D<sn n*C +Cn",
+"* Dn* D<+n *Cn. 8Cn* D.n* 8nD* *CnK n*C+K TnD* an*DT nC*j n*j+C n*Dj Dns* n",
+"C<E n!<CE D<Hn H<Dan <nCE. 8<nCE H<Dn. H8<Dn <nCEK <CEn!K H<DTn D<aHnT <jnC",
+"E 8<CnjE H<jDn s<HDn <Cdn <dn+C DnH* D<gn <dnC. 8<dnC Hn*D. g<D8n <dnCK +<C",
+"dnK Hn*DT g<TDn <djnC <dC+nj <djDn sn*gD <n4C 4<n!C 4<Dn 4Da<n <n5C 48<nC D",
+"<5n 4D8<n 4<nCK n!<4CK 4DT<n D<a4Tn <jn4C 48<njC 4Dj<n s<D5n =nC +n=C =Dn +",
+"D=n 5n=C =n>C 5D=n =D>n nC=K =+nCK Dn=T =D+Tn nj=C >n=jC Dn=j sn=D 4<nCE n!",
+"<4CE 4HD<n H<D4an 5<nCE 8<C5nE H5<Dn 5D<H8n <nC4EK EK<!4nC H<D4Tn a<Hn4DT 5",
+"<CnjE <j5n8CE 5D<Hnj H5<snD dn=C =+dnC Hn=D gn=D =5dnC >n=dC =H5Dn g=>Dn =d",
+"nCK dnC=+K =HDTn g=DTn =jdnC =jd>nC =HjDn s=gDn <PC <!PC D<P a<DP PC<. 8C<P",
+" D.<P 8<DP QC<P <PCQ! D<Qn QD<aP <CPj <Pj8C <PDj D<sP <CP* +C<P <PD* D<+P <",
+"P*C. +<P8C D<P*. +D<8P QCn* +Q<PC DnQ* an*QD <Pj*C <Pj+C <PjD* s<P+D WC<P <",
+"PCW! D<HP H<PDa <PCW. W8<PC H<PD. H8<DP <PCWQ Q<CWn! D<Zn Z<DaP <PjWC <jCW8",
+"n Z<DPj s<PZD WCn* +W<PC DnW* D<gP Wn*C. W8n*C WDn*. g<PD8 Wn*QC <dC+Qn DnZ",
+"* Zn*gD <djPC <dC+Pj Zn*Dj s<PgD o<C <Co! oD< D<oa 5<oC 8<oC 5Do< D8o< Q<oC",
+" o!Q<C QDo< oDQa< oCp< op8<C p<oD oDs< o=C =Co+ =Do o+=D o5=C >Co= =5oD =Do",
+"> oQ=C o=+QC oD=Q o+D=Q =Cop o>p=C op=D =Dos W<oC o!W<C H<oD oHDa< o5W<C o8",
+"W<C oH5D< oH8D< oWQ<C W<Qo!C oDZ< oZDa< opW<C p<Wo8C Zp<oD osZD< =Cov ov=+C",
+" ov=D =Dgo ov=5C o>v=C ovD=5 go>=D ov=QC =Qvo+C =DoZ goZ=D p=ovC p=vo>C p=D",
+"oZ =Dyo ,nb <&bn ,Dn c<n ,.bn b8,n ,.Dn ,8cn ,Kbn <&Kbn bT,n ,Tcn bn,j <&jb",
+"n Dn,j c<sn bn* -nb Dnb* c-n b.n* b8-n ,Dn*. c8-n bKn* bn-K Tnb* -Tcn n*bj ",
+"bn-j n*j,D c-sn ,Ebn <&Ebn bH,n ,Hcn ,nbE. ,8nbE ,Hnb. c<H8n ,nbEK b<E&nK ,",
+"HnbT c<HTn ,njbE <&Ebnj ,Hnbj sn,cH bd,n bd-n Hnb* c-gn ,dnb. -nb8d ,Ddn. c",
+"-ng8 ,dnbK -nbdK ,DdTn c-ngT <djbn -njbd dnj,D s-ngc 4b,n ,4b&n 4D,n ,4cn b",
+"5,n ,48bn 5D,n ,5cn ,4bnK ,4b&nK ,4DTn c4T,n ,4jbn 4b8,nj ,4Dnj sn,c4 =bn -",
+"n=b ,D=n c=n b5=n =b>n =b5Dn >nc= bn=K =b-nK bT=n cn=T bn=j >n-bj =bT5n snc",
+"= ,4bnE ,4b&nE ,4Hbn c4H,n ,5nbE <&Eb5n ,H5bn c5<Hn 4bE,nK <&bn4EK 4bH,Tn ,",
+"4HcnT <jEb5n &n4jb<E 4bH,nj s<Hc5n bd=n =b-dn bH=n gnc= =b5dn >n-bd =bH5n c",
+"=g>n =bdnK -nd=bK =bHTn c=gTn =bjdn >nd=bj =bHnj s=cgn b<P <&bP D<,P c<P b.",
+"<P 8<bP ,DP<. 8<cP bQ,n <P&bQ QD,n ,Qcn <Pbj <P&bj <Pj,D c<sP <Pb* b<-P ,DP",
+"n* -Pc< b<P*. -Pb8< P*.,Dn c-P8< Qnb* bQ-n ,QDn* -Qcn <Pjb* -Qnb8 ,QDn*j s-",
+"Pc< bW,n <P&bW H<bP ,Wcn ,Wnb. ,W8bn ,WDn. cW<8P ,WnbQ W<&bQn ,DZn c<Zn <Pj",
+"bW bW8<Pj Zb<Pj Zc<sP Wnb* bW-n ,WDdn c<gP bWn*. -Wnb8 <d.,DP c-W8n ,Qdbn -",
+"WnbQ bnZ* c-Zn <djbP -Wnbj Zbn*j Z-nsc ob< b<o& oD, oc< ,5ob ,8ob ,5oD o8c<",
+" ,Qob obQ<& ,QoD oTc< pbo, opb,8 pDo, s<oc =bo o-b ob=D oc- =5ob =bo> =bo5D",
+" c>o- ob=Q -Qob ob=T =Qoc op=b ob-p p=boD ocs= ,Wob obW<& ,Hob oHc< ob5,W o",
+"b8,W obH,5 ocH,5 obW,Q bW<o&Q obZ< Z<oc opb,W obWp<& oZbp< oscZ< ov=b ob-v ",
+"ob=H c=go ovb=5 o-v>b ovD,5 cv=o> ovb=Q o-vbQ =boZ ocZ- p=bov o-pvb Z=bop o",
+"cy- 6<n n!6< <n6B 6<an 1<n 8<1n <n1B a<1n <n6K 6!<nK 6<Tn 6Ta<n <j1n <jn68 ",
+"T<1n 1<sn 6*n +n6* 6n*B an6* 1n* +<1n *B1n an1* 6Kn* n*K6+ Tn6* an*6T n*6j ",
+"n*j6+ Tn1* 6*sn <n6E 6!<nE 6<Hn 6Ha<n <n1E 68<nE H<1n 6H8<n 6<nEK n!<6EK 6H",
+"T<n H<T6an <jn6E 68<njE 6Hj<n s<H1n dn6* <dn6+ Hn6* 6*gn <d1n 68dn* Hn1* 1<",
+"gn <dn6K 6+<dnK 6H*Tn g6Tn* <dj1n 68dn*j n*j6H sn*g6 6<4n 6!4<n 46<nB 4a6<n",
+" 7<n 8<7n <n7B a<7n 46<nK 4<n6!K 4T6<n 6T<4an <j7n 78<nj T<7n 7<sn =6n 6+=n",
+" 6n=B 6a=n 7=n 7=>n =n7B =n7a 6n=K =6+nK 6T=n =T6+n 7n=j 7>=nj =n7T 7=sn 46",
+"<nE 4<n6!E 4H6<n 6H<4an <n7E 78<nE H<7n 7H8<n 6<n4EK 4<6!nEK 6H<4Tn a<Hn4T6",
+" 7<njE <jn78E 7HT<n 7sH<n 6d=n =6+dn 6H=n =6gn =n7d 7>=dn =n7H 7=gn =6dnK d",
+"nK=6+ =H6Tn g=6Tn 7=dnj >n=7dj 7Td=n g7s=n 6P< 6!<P 6B<P a<6P 1<P 8<6P 1B<P",
+" a<1P Q<6P <P!6Q T<6P 6Qa<P Q<1P <Pj68 T<1P 6Ps< 6P* +<6P *B6P aP6* 1P6* +<",
+"1P 6P*1B aP*68 Qn6* 6+Q<P TP6* aP*6Q Qn1* <Pj6+ P*j6T 6Ps* W<6P <P!6W H<6P ",
+"6HPa< W<1P 6W8<P H<1P 6H8<P 6WQ<P 6WQ<P! 6PZ< Z6a<P <Pj6W 6W8<Pj 1<Zn s<PZ6",
+" Wn6* 6+W<P HP6* 6Pg< Wn1* 6W8P* 6HP1* 1<gP 6W*Qn +Wn6Q* 6PZ* Z6*gP <dj6P 6",
+"+W<Pj 1nZ* s<Pg6 o6< 6!o< 6<oB 6ao< 7o< 7<o8 o<7B 7<oa 6Qo< o!6Q< 6To< oT6a",
+"< p<7o 7op8< 7<oT 7os< o=6 =6o+ o6=B =6oa 7o= 7=o> =B7o 7o=a o6=Q o=6+Q =6o",
+"T o+T=6 7op= 7o=p> 7o=T 7os= 6Wo< o!6W< 6Ho< oH6a< oW7< 7oW8< 7<oH 7oH8< o6",
+"WQ< 6WQo!< o6Z< oZ6a< 7opW< op87W< Z<7o osZ7< v6o= ov=6+ =6oH o=g6 ov7= 7o=",
+"v> 7o=H 7og= ov=6Q =Qvo+6 o=Z6 goZ=6 7o=pv o>p7v= 7oZ= 7oy= ?n ?&n ?Bn ?an ",
+"?1n ?:n 1n?B :n?a ?nK &n?K ?Tn T&?n ?jn :n?j 1T?n s?n ?n* ?-n n*?B -n?a 1n?",
+"* :-n ?B1n* :a-n n*?K ?K-n Tn?* -n?T n*?j -n?j ?T1n* ?-sn ?nE &n?E ?Hn H&?n",
+" 1n?E ?E:n 1H?n :n?H nE?K ?&nEK Hn?T ?HTan nj?E ?:njE Hn?j ?Hsn ?dn -n?d Hn",
+"?d g?n 1d?n :n?d ?H1dn ?:gn dn?K ?-dnK Td?n ?Tgn dn?j ?:dnj ?Hjdn gns? ?4n ",
+"4&?n 4n?B 4a?n 7?n :n7? ?n7B ?n7a 4n?K ?4&nK 4T?n ?T4an 7n?j ?:7nj ?n7T 7?s",
+"n ?=n -n?= ?B=n =n?a =n7? An ?=7nB Aan ?n=K ?-=nK =n?T ?-T=n =n?j Ajn ?T7=n",
+" Asn 4n?E ?4&nE 4H?n ?H4an 7n?E ?:7nE ?n7H ?:H7n ?4nEK &nE?4K ?H4Tn 4H&?Tn ",
+"?j7nE 7:n?jE ?H7Tn s?7Hn =n?d ?-=dn =n?H ?=gn ?n7d Adn ?H7=n Agn ?=dnK -=n?",
+"dK ?Td=n g?=Tn ?d7nj dnAj ?Hj=n gsAn ?P ?P& ?PB ?aP ?P1 ?:P 1P?B :P?a ?QP Q",
+"&?P ?TP Qa?P ?Pj :Q?P 1T?P s?P ?P* ?-P P*?B -P?a 1P?* :-?P ?P1*B ?:P-a Qn?*",
+" -Q?P TP?* -T?P P*?j -Q:n ?TP1* ?-sP ?WP W&?P ?HP HP?a 1W?P :W?P 1H?P :H?P ",
+"Wn?Q ?WQP& ?ZP Z&?P Wn?j ?:WQn Z1?P sP?Z ?dP -W?P HP?d g?P 1d?P :d?P ?HP1d ",
+"?:gP Qd?P ?-WQn Zn?d gP?Z dP?j ?:QdP ?Z1dP gPs? o? o?& o?B o?a o?7 o:? 7Bo?",
+" ?ao: o?Q o&?Q o?T oT?a ?po o:?p 7o?T s?o o?= o-? =Bo? =ao? 7o?= Ao 7o=?B A",
+"oa =Qo? ?Qo- =To? ?To- p=o? Aop o?Tp= Aos o?W o&?W o?H oH?a 7o?W ?Wo: 7o?H ",
+"?Ho: oW?Q o?WQ& ?Zo ?aoZ op?W o:?pW o?7Z os?Z ?vo o-?v =Ho? go? o?7v Aov o?",
+"H7v Aog ov?Q o-?vQ o?Z= ?Zgo op?v opAv ?Zo7v yAo <n6C 6!<nC 6<Dn 6Da<n <n1C",
+" 68<nC D<1n 6D8<n 6<nCK n!<6CK 6DT<n D<a6Tn <jn6C 68<njC 6Dj<n s<D1n 6Cn* n",
+"*C6+ Dn6* an*6D 1Cn* 68*nC Dn1* an*1D n*C6K 6+Cn*K 6D*Tn +Dn6T* n*j6C <jC1+",
+"n n*j6D sn*6D 6<nCE n!<6CE 6HD<n H<D6an 1<nCE 8<C1nE 1H<Dn H8<1Dn <nC6EK EK",
+"<!6nC H<D6Tn a<Hn6DT 1<CnjE <j1n8CE H<j1Dn 1H<snD <dn6C 6+<dnC 6H*Dn g6Dn* ",
+"1<dnC <dC1+n 1HnD* g1<Dn 6dCn*K <d+n6CK Ddn6T* 6D*gnT <jC1dn <d6j+nC 6Ddn*j",
+" s<Dg1n 46<nC 4<n6!C 4D6<n 6D<4an <n7C 78<nC D<7n 7D8<n 6<n4CK 4<6!nCK 6D<4",
+"Tn a<Dn4T6 7<njC <jn78C 7DT<n 7sD<n 6n=C =6+nC 6D=n =D6+n 7n=C 7>=nC =n7D 7",
+">D=n =6nCK 6+n=CK =D6Tn 6+D=Tn 7=njC >nj7=C =D7Tn s=7Dn 6<n4CE 4<6!nCE 6H<4",
+"Dn a<Hn4D6 7<nCE 8<n7CE 7HD<n H8<7Dn 6<4nEKC 6n4CEK<! T<Hn4D6 46T<HDan <jn7",
+"CE <j7n8CE H<j7Dn 7HDs<n =6dnC dnC=6+ =H6Dn g=6Dn 7=dnC >n=7dC 7Dd=n g7=Dn ",
+"dnC=6K dn=C6+K 6Dd=Tn g6D=Tn =jn7dC >j7d=nC 7Hn=Dj s=Dg7n 6C<P <PC6! D<6P 6",
+"DPa< 1C<P 68P<C D<1P 6D8<P <PC6Q 6QC<P! 6QD<P QD<6aP <Pj6C <PC6Q8 <Pj6D s<P",
+"6D 6CP* 6+P<C DP6* aP*6D 6P*1C 68P*C 6DP1* 6D8P* 6Q*PC <PC6+Q 6QDP* 6QDaP* ",
+"P*j6C <PC6+j P*j6D sP*6D <PC6W 6WC<P! 6HPD< WD<6aP 1W<PC <PC6W8 1H<DP H8<6D",
+"P 6WQ<PC QC<P6W! Z6D<P 6DPZ<a <PC6Wj <PWj68C Z1<DP s<DZ1n 6W*PC <dC6+P 6HPD",
+"* g6PD< 1Wn*C <dC68P 1WDn* g1<DP <PC6Qd 6C+WQn* Z6*DP Z6Dg<P <dC6Pj dP<j6+C",
+" Z1nD* s<Dg6P 6<oC o!6<C 6Do< oD6a< o<7C 7o8<C 7<oD 7oD8< o6Q<C 6Q<o!C oD6Q",
+"< 6QDoa< 7op<C o8<7pC 7oDp< os7D< o6=C o=6+C =6oD o+D=6 =C7o 7o=>C 7o=D o>D",
+"7= o=6QC =Q6o+C =QDo6 o+6=QD 7o=pC p=7o>C p=D7o s=o7D o6W<C 6W<o!C oH6D< 6W",
+"Doa< 7oW<C o8<7WC 7oHD< 7H<oD8 6WQo<C Q!oW6<C oZ6D< oD6Z<a op<7WC 78p<oWC 7",
+"ZoD< 7ZDos< ov=6C v=6o+C ovD=6 go=6D 7o=vC o>=7vC 7vDo= go7=D =Q6ovC =6o+vQ",
+"C Z=o6D Z=6goD p=o7vC >C7vp=o 7Z=oD yo7=D ?bn bn?& ?Dn ?cn b1?n ?b:n 1D?n :",
+"n?c bn?K ?b&nK bT?n cn?T bn?j ?:bnj Dn?j sn?c bn?* ?b-n Dn?* cn?- 1nb* :b-n",
+" ?D1n* c-:n ?bn*K ?-bnK ?DTn* ?-Tcn ?jbn* ?-jbn ?Djn* s-n?c bn?E ?b&nE bH?n",
+" cn?H ?b1nE ?:bnE ?Hb1n ?:Hcn ?bnEK &nE?bK ?HbTn ?cHTn ?jbnE :nb?jE ?Hjbn s",
+"?cHn bd?n ?-bdn Dd?n gn?c ?d1bn ?:dbn ?Dd1n g:n?c ?dbnK -nb?dK ?DdTn g?cTn ",
+"?djbn ?db-nj ?Ddnj g?scn 4b?n ?4b&n 4D?n ?4cn ?n7b ?:7bn ?n7D cn7? ?4bnK &n",
+"K?4b ?D4Tn ?c4Tn ?j7bn 7:b?jn ?D7Tn s?7cn ?b=n ?-=bn =n?D cn?= =n7b Abn ?D7",
+"=n Acn ?=nbK =bn?-K =bT?n c=?Tn =b7nj bnAj ?Dj=n scAn ?4bnE &nE?4b ?H4bn ?c",
+"4Hn 7?bnE 7bn?:E ?H7bn 7c?Hn 4bn?EK &n?E4bK 4bH?Tn c4H?Tn 7bn?jE 7j?E:nb ?H",
+"n7bT 7cHs?n ?=dbn =b-?dn ?Dd=n c=?gn ?d7bn bdAn ?D7dn gcAn =bn?dK =d-n?bK ?",
+"Hn=bT g?Tc=n ?dn=bj Adnbj ?Hn=bj Agnsc ?Pb bP?& ?DP ?cP b1?P ?b:P 1D?P :c?P",
+" bQ?P ?QbP& bT?P cQ?P bP?j ?:QbP DP?j sP?c bP?* ?b-P DP?* c-?P ?Pb1* ?:P-b ",
+"?DP1* ?cP:- ?QbP* ?-QbP ?QDP* ?cQ-P ?Pjb* ?-Pbj ?DP*j s?Pc- bW?P ?WbP& bH?P",
+" cW?P ?Wb1P ?:WbP ?HPb1 ?cW:P ?WbQn bWn?Q& Zb?P ?PZc ?WjbP ?Wb:Qn ?Zb1P s?Z",
+"cP bd?P ?-WbP Dd?P gP?c ?dPb1 ?:dbP ?Dd1P g?P:c ?QdbP ?Wb-Qn ?ZbdP g?ZcP ?d",
+"Pbj ?Wb-Pj ?DdPj g?scP o?b ?bo& o?D oc? 7bo? ob?: 7o?D ?co: ob?Q o?bQ& ob?T",
+" ?Qoc ob?p o:?pb op?D ocs? =bo? ob?- =Do? ?co- 7o=b Aob o?D7= Aoc o?=bQ o-?",
+"bQ o?D=Q oc?=Q p=bo? opAb ?pDo= osAc ob?W o?bW& ob?H ?Hoc ?W7ob o:?bW o?H7b",
+" o:H?c o?bWQ obW?Q& ?DoZ oc?Z ?pobW ?pbo:W ?Zo7b s?oZc ob?v o-?vb ov?D ocg?",
+" 7vbo? ovAb ?vD7o goAc ?vobQ ?vbo-Q ?Zo=b go?Zc ?pvob Aopvb ?pvoD yoAc R< R",
+"<! R<B Ra< R<. R8< <.RB 8<Ra R<M R!<M RT< T<Ra R<j 8<Rj T<Rj sR< R<* R+< *B",
+"R< +<Ra R.n* +<R8 n*.RB an*R8 Mn* +MR< T<R* +TR< <jR* +<Rj Mn*Tj R+s< R<E <",
+"ER! RH< H<Ra <ER. RE8< R.H< H8R< RE<M <MER! H<RT aMnH< RE<j R8<ME H<Rj RHs<",
+" R<d +<Rd H<Rd gR< R.<d 8<Rd RH<d. R8g< <MRd <dMR+ T<Rd RTg< <dRj <dMR8 <dj",
+"RH sRg< R4< 4!R< 4<RB 4aR< R5< 48R< RB5< 5aR< 4MR< <M!R4 4TR< aMn4< 4jR< R4",
+"8<M 5TR< R4s< =R =R+ =RB =Ra =R5 =R> R5=B >R=a =RM R+=M =RT R+=T =Rj =R>M R",
+"5=T s=R 4<RE R4<!E 4HR< R4Ha< RE5< R48<E H5R< R4H8< <MER4 R4E<M! R4HT< 4HMR",
+"a< R4j<E <MER48 R4H<j sR4H< =Rd R+=d =RH g=R R5=d =d>R RH=5 g>=R Rd=M =R+dM",
+" RH=T gR=T Rd=j >M=Rd RH=j gs=R R<P R!<P RB<P aPR< R.<P 8PR< <P.RB R8<aP S<",
+" S<! S<T Sa< S<j S8< T<Sj Ss< <PR* +PR< <P*RB aP*R< <P*R. R+<8P R<.P*B R8<a",
+"P* S<* S+< T<S* +TS< <jS* +<S8 S<T*j S+s< RW< R!W< H<RW WaR< R.W< W8R< RH<W",
+". RH8W< S<W W<S! SZ< Z<Sa W<Sj W8S< SjZ< s<SZ W<Rd +WR< RH<W* RWg< RW<d. R+",
+"W8< <P.RH* gR<W8 S<d +WS< Z<Sd gS< <dSj 8<Sd SZ<dj g<Ss oR< R<o! R<oB Rao< ",
+"R5o< R8o< oR5<B o8Ra< So< o!S< oTS< oaS< Sp< o8S< STp< s<So =Ro o+=R oR=B o",
+"a=R oR=5 =Ro> o=5RB o>=Ra S= S=+ S=T S=a S=p S>= Sp=T s=S RWo< o!RW< RHo< o",
+"HRa< 5WR< o8RW< oHR5< oH8R< oWS< S<Wo! S<oZ SZ<oa SWp< Sp<W8 ZpS< osZS< =Rv",
+" =+vR oH=R =Rgo =5vR v>=R =RvH5 g=Ro> S=v v=S+ S=Z gS= p=Sv v>S= SZp= y=S ,",
+"R< R<& RB,n Ra,n ,.R< R8,n ,R<.B ,R8a< ,Mn <MR& RT,n T<R& R<,j 8M,n ,RT<j ,",
+"Rs< R*,n -R< n*B,R Ra-n n*.,R R8-n ,R.n*B -R8a< M*,n -Mn Mn*,T RT-n Mn*,j R",
+"<-j ,RTn*j -Rs< ,ER< RE<& RH,n H<R& ,R<E. ,R8<E ,RH<. ,RH8< ,EMn <M&RE HM,n",
+" aMn,H ,Rj<E <&jRE ,RH<j sn,RH R<,d R<-d ,RH<d -Rg< ,Rd<. -R8<d <d.,RH g-R8",
+"< dM,n dM-n dMn,H -Mgn <dj,R -Rj<d ,RH<dj s-Rg< ,R4 R&,4 RB,4 R4,a R4,5 R4,",
+"8 ,R45B ,R45a R4,M <M&R4 R4,T aMn,4 R4,j <M&R5 ,R45T ,Rs4 =R, =R- ,R=B -R=a",
+" ,R=5 ->=R =R5,B >n-Ra ,R=M -R=M ,R=T -R=T ,R=j -R=j =RT,5 =Rs- ,ER4 ,R4&E ",
+"R4,H ,R4H& ,R45E ,R48E ,R4H5 ,R4H8 ,R4ME <MER4& ,R4HM ,4HaMn ,R4jE <MER5& ,",
+"R4Hj sR4,H ,R=d =d-R ,R=H g-=R =R5,d >n-Rd =RH,5 g=R-> =Rd,M =R-dM =RH,T g=",
+"R-T =Rj,d >M-dn =RH,j s=Rg- R<,P <PR& <PB,R <P&Ra <P.,R <P&R8 ,R.<PB R8<,aP",
+" S<, S<& ,TS< ,aS< ,nSj ,8S< S<T,j S<s, <P*,R R<-P ,R<P*B -Ra<P ,R<P*. -R8<",
+"P <PR*,.B R8<-Pa ,nS* S-< S<T,* -TS< S<*,j -nS8 n*jS,T s<S- RW,n W<R& ,RHW<",
+" <P&RH ,RW<. ,RW8< <P.,RH RH8<P& ,WS< W<S& Z<S, Z<S& S<W,j S8<,W SZ<,j Ss<Z",
+"& ,RW<d RW-n RH<,dP -RWg< <d.,RW -RW8< ,.RHWn* -R8g<P ,dS< -WS< SZ<,d g<S- ",
+"S<d,j S-W8< SdjZn, gS-s< o,R ,Ro& ,RoB ,Roa ,Ro5 ,Ro8 o,R5B o8,Ra So, o&S< ",
+"oTS, oaS, opS, o8S, Sp<,T s,So o,=R o-R o=,RB -Roa o=5,R -Ro> o,5=RB o->Ra ",
+"S=, S-o S,=T =TS- S,p= o-S> S=p,T S-s= ,RoW o&R,W ,RoH oH&,R o,R5W o8,RW oH",
+",R5 oH8,R SWo, S<&oW S,oZ oZ&S< Sp<,W Sp<W& oZ,Sp os,SZ vRo, =R-v ov,RH gRo",
+"- ov,R5 o-v>R =R5oH, go->R ovS, Svo- S,Z= S-go Sv,p= o-pSv S=Zp, S-yo R<U R",
+"!U< RD< UaR< R.U< U8R< R.D< D8R< <MUn <M!Un V<R RaV< U<Rj R8<Uj R<Vj V<sR U",
+"n* U+R< D<R* +DR< U.n* 8nU* RD<*. an*U8 MnU* Mn*U+ Vn* R+V< n*Uj Mn*U8 n*Vj",
+" Vns* REU< R<U!E UHR< RH<Ua R<UE. R8<UE RH<U. RH8U< <MEUn U<EMn! RHV< V<RHa",
+" R<jUE <MEU8n V<RHj s<VRH U<Rd R+<Ud HnU* RDg< R<dU. R8<Ud RD<d. gR<U8 <dMU",
+"n U+<dMn R<Vd V<gR <djUn U+<dnj V<dRj gV<sR 4UR< R4U<! 4DR< R4Da< U5R< R48U",
+"< 5DR< R4D8< R4U<M R4U<M! R4V< V4Ra< R4jU< 4U8R<j R5V< s<VR4 =RU R+=U =RD R",
+"+=D R5=U =U>n R5=D >R=D Un=M =RU+M V=R V+=R Rj=U >M=Un V5=R >nV= R4U<E 4UER",
+"<! R4HU< 4UHRa< R5<UE R4EU8< RH5U< 4UHR8< R4U<ME <MUn4E! V4RH< R4HV<a <MEU5",
+"n RE48U<j V5<RH s<HV5n Rd=U =RU+d RH=U gR=U =RU5d >nU=d =RHU5 g=R>U =RUdM d",
+"Mn=U+ Vd=R =RgV =RjUd >nd=Uj V=RH5 V>ng= U<P U!<P D<UP a<UP U.<P 8<UP RD<P.",
+" RD8<P S<U U<S! SV< V<Sa U<Sj U8S< SjV< SVs< <PU* +<UP RD<P* aP*U< U<P*. U+",
+"<8P <P.RD* U8<aP* U<S* U+S< V<S* V+S< S<U*j S+<U8 SV<*j Ss<V+ UWR< RW<U! H<",
+"UP RWDa< RW<U. RW8U< RWD<. RWD8< UWS< S<UW! Z<SV SZ<Va S<UWj S8<UW SZ<Vj Ss",
+"<VZ WnU* R+WU< RWD<d U<gP UWn*. UW8n* <d.RWD gU<8P U<Sd S+<UW V<Sd SVg< S<d",
+"Uj S8<Ud SV<dj gS<Vs oU< U<o! RDo< Uao< U5o< U8o< oU5D< oU8D< oUS< S<Uo! oV",
+"< V<oa pUS< Sp<U8 S<Vp s<oV =Uo o+=U oU=D oU=a =5oU =Uo> =RDo5 o>U=D S=U S+",
+"=U S=V =aoV Sp=U =US> VpS= oVs= UWo< oUW<! UHo< oUHa< oU5W< oU8W< oUH5< oUH",
+"8< S<UoW oUWS<! Z<oV oVZa< Sp<UW S8WpU< oVZp< oVsZ< ov=U ovU=+ oU=H =Ugo ov",
+"U=5 o>Uv= =Rv5D goU>= =USv S=vU+ oVZ= V=go p=USv S>=vU oVvp= S=yV ,Un b<R& ",
+"RD,n cR< ,.Un b8R< ,RD<. R8c< bM,n <M&Rb Vn, V<cR b<Rj <&jRb ,nVj cRs< b<R*",
+" -Un ,RDn* -Rc< ,Un*. U8-n n*.,RD c-R8< Mnb* bM-n ,nV* V-n Mn*bj Un-j Vn*,j",
+" snV- ,EUn ,Un&E bHR< RHc< ,UnE. ,U8nE ,UHn. cR<H8 ,UnME <MEU&n ,HVn cR<VH ",
+",UnjE <MERb8 Vn,Hj snV,H b<Rd Ud-n ,RD<d cRg< ,Udn. -Un8d <d.,RD cR<g8 <dMR",
+"b -UndM ,dVn gnV- <djRb -Undj Vdn,j V-ngs R4,U ,R4U& R4,D ,Rc4 b5R< ,R4b8 ,",
+"R45D R5c< ,R4bM ,4UM&n ,RV4 cR4V< ,R4bj ,4U&nj ,5Vn snV,4 =Rb -R=b ,R=D c=R",
+" Rb=5 -U>n =Rb5D =Rc> Rb=M =R-bM Vn=b =RV- Rb=j >M-bn V=R,5 >nV- ,R4bE <&ER",
+"4b ,R4bH cR4,H ,U5nE <&ERb5 ,UH5n cR5H< <MER4b <MR&4bE V4,RH cRHV4, <MERb5 ",
+"R4,jb8E V5n,H s<HcR4 Rb=d =R-bd Rb=H gc=R =Rb5d >n-Ud =RbH5 c=Rg> =RbdM =bd",
+"-Mn V=R,H c=VgR =Rbdj >Md=Rb =RbHj c=Rgs bPR< <PU& ,RD<P R<cP ,UP<. <P&U8 <",
+"P.,RD cR<8P Sb< b<S& V<Sb Sc< b<Sj b8S< SV<,j s<Sc ,UPn* U<-P b<PRD* c-R<P ",
+"<P.Rb* -UP8< <Pb*RD. c<8-UP b<S* -US< SV<b* S<V- Sb<*j S-b8< SbjVn* V-nSs b",
+"WR< <P&UW ,RWD< RWc< ,UWn. ,UW8n <P.,UH cRW8< bWS< Sb<W& ZbS< S<Zc Sb<Wj Sb",
+"8W< SZb<j Sc<sZ ,UWdn UW-n RWD,dn c-RW< <d.,UP -UW8n RW,D<d. cR8-Wn b<Sd S-",
+"bW< SZb<d g<Sc Sb<dj Sb8<d SbjZn* V-nsZ oU, ,Uo& ,RoD oUc< ,Uo5 ,Uo8 oU,5D ",
+"ocR,5 obS< Sb<o& oV, S<oc pbS< Spb8< o,Vp s,oV ob=R o-U =RboD =Roc =Rbo5 ->",
+"oU ob5=RD oc->R S=b =bS- =boV Sc= Sp=b =bS> oV,p= Scs= ,UoW oU&,W ,UoH ocR,",
+"H oU,5W oU8,W oUH,5 cR5W< Sb<oW S<WoU& Z,oV oV,Zc SpbW< SbWo8, oV,Zp oVsZ, ",
+"vR=b oU-v ovU,H =Rcv ovU,5 o-Uv> ob5=RH cv=>R =bSv o-USv SZ=b Z=Sc S=bpv o-",
+"pvU oVvp, Scy= q< q!< q<B qa< q1< q8< 1<qB 1aq< q<M <Mq! qT< T<qa l<q q8l< ",
+"qTl< sq< q* q+< q*B qa* q*1 q8* 1*qB 1aq* q*M +<qM qT* +Tq* l*q q+l< qTl* s",
+"q* q<E <Eq! qH< H<qa 1<qE 8<qE 1Hq< H8q< <MqE q!<ME H<qT qHTa< q<lE l<q8E q",
+"Hl< qHs< qd< +<qd qH* gq< 1<qd 8<qd 1Hq* q8g< <dqM q+<dM HMq* qTg< qdl< l+q",
+"<d qHl* l<gq q4< 4<q! 4<qB 4aq< 7q< 7<q8 q<7B 7<qa 4Mq< q!4<M 4Tq< qT4a< 7q",
+"l< 7lq8< 7<qT 7qs< q= q=+ q=B q=a q=7 q>= =B7q =aq> q=M q+=M q=T q+=T l=q q",
+">l= 7q=T sq= 4<qE q!4<E 4Hq< qH4a< q<7E 7q8<E 7<qH 7qH8< q4<ME <MEq!4 qH4T<",
+" 4HMqa< 7lq<E l<87qE 7qHl< sq7H< q=d =+qd q=H gq= 7dq= >=qd 7q=H g=q> qd=M ",
+"q=+dM qH=T =Tgq ldq= q>l=d lHq= l=gq q<P <Pq! <PqB a<qP 1<qP 8<qP q1<PB q8a",
+"<P Sq< q!S< qTS< qaS< l<S S8l< lTS< l<Ss q*P +<qP P*qB aPq* 1Pq* 8Pq* q*1PB",
+" q8*aP Sq* q+S< qTS* qaS* Sql* S+l< Sq*lT s*Sq qW< W<q! H<qW Waq< 1Wq< W8q<",
+" qH1W< qH8W< qWS< SqW<! Zq< qaZ< S<lW Sq8W< l<Zq s<Zq qW* +Wq* HPq* qWg< 1W",
+"q* W8q* qH*1W gq1W< qWS* Sq+W< Zq* g<Zq S<ld Sq8W* l*Zq l<gS oq< o<q! q<oB ",
+"o<qa 7<oq o<q8 7oq<B 7oaq< oqS< Sq<o! o<qT Sqao< r< r8< rT< rs< q=o o+q= =B",
+"oq oq=a 7oq= q=o> 7o=qB q>o=a S=q S+q= Sq=T Sq=a r= r>= r=T rs= o<qW oqW<! ",
+"o<qH oqHa< 7<qW 7qW8< 7oHq< 7qWa< SqWo< oqWS<! oqZ< Zqoa< rW< W8r< rZ< sZr<",
+" vq= q+v= =Hvq g=vq q=7v v>q= vq7=H vq>g= vqS= vq=S+ Zq= S=gq rv= v>r= rZ= ",
+"yr= ?q ?q& ?qB ?qa ?q1 :q? q1?B ?a:q ?qM q&?M ?qT qT?a l?q l?:q qTl? s?q ?q",
+"* -q ?Bq* -qa ?1q* -q: ?q1*B qa:- q*?M -qM q*?T -qT ?ql* l-q ?qTl* sq- ?qE ",
+"?Eq& ?qH qH?a q1?E ?E:q ?1qH ?H:q qM?E ?qM&E qH?T ?qHT& lE?q :ql?E ?qlH ?Hs",
+"q ?qd -qd qH?d g?q ?1qd ?d:q ?qH1d g:-q qd?M qd-M qT?d gM-q ?qld ld-q l?Hqd",
+" gql- ?q4 ?4q& q4?B ?4qa ?q7 7?:q 7B?q 7q?a q4?M ?q4M& ?4qT ?qT4a 7l?q ?q7l",
+": 7q?T ?q7s q=? -q= =B?q =a-q 7?q= Aq ?q7=B Aqa ?q=M =M-q ?q=T =T-q l?q= Al",
+"q l=?qT Aqs q4?E ?q4&E ?4qH ?qH4a ?E7q ?q7:E 7q?H :qH7? ?q4ME q&4?ME ?qH4T ",
+"?H4qT& ?q7lE l?7:qE l?H7q s?q7H ?dq= qd-= ?q=H g=-q 7q?d Aqd q=H7? Aqg ?qd=",
+"M -q=dM q=H?T -qTg= l=?qd ldAq l=H?q glAq ?qP q&?P qP?B qa?P q1?P ?P:q ?q1P",
+"B ?qa:P S? S?& S?T S?a S?l S?: ?TSl s?S q*?P -qP ?qP*B qa-P ?q1P* :P-q q*1?",
+"PB -q:aP S?* S?- S*?T ?TS- l*S? S?l- S?lT* S-s? ?qW q&?W qH?W qW?a ?1qW ?W:",
+"q ?qH1W :qH?W S?W S&?W S?Z ?aZq lWS? ?WS: l?Zq ?Zsq qW?d -qW ?qHW* gP-q ?qW",
+"1d :W-q ?H1qW* -qWg: S?d ?WS- ?dZq g?S ldS? lW-q S?Zld s?gS o?q o&?q ?Boq o",
+"q?a 7o?q o?:q ?q7oB o:?qa S?o S&o? ?TSo ?aSo r? r?: r?T r?s q=o? o-q o?q=B ",
+"oa-q ?q7o= Aoq q=7o?B oqAa S?= o-S? =TS? =aS? r?= Ar =Tr? Ars oq?W ?qWo& oq",
+"?H o?Hqa 7q?W o:?qW o?H7q o:H?q ?WSo S?oW& o?Zq S?Zoa r?W ?:rW r?Z s?rZ ?vq",
+" -qv ?Hvq ?vgq ?q7v Aqv ?vq7H goAq S?v S-?v S=?Z S?go r?v Arv ?Zrv Ary qU< ",
+"U<q! qD< Uaq< 1Uq< U8q< 1Dq< D8q< U<qM q!U<M Vq< qaV< qUl< l<qU8 l<Vq s<Vq ",
+"q*U U+q* qD* Uaq* 1Uq* U8q* 1Dq* D8q* U*qM q+U<M Vq* q+V< lUq* l+qU< l*Vq s",
+"*Vq U<qE q!U<E UHq< qHUa< q1U<E q8U<E qH1U< qH8U< qU<ME <MEq!U qHV< VqHa< l",
+"<qUE q8Ul<E VqlH< sqVH< U<qd q+U<d UHq* qDg< qd1U< q8dU< qH*1U gq1U< qdU<M ",
+"<dMq+U qHV* g<Vq l<dqU l<Uq8d Vqdl< glqV< 4Uq< q!4U< 4Dq< qD4a< qU7< 7qU8< ",
+"7<qD 7qD8< q4U<M <M!q4U q4V< Vq4a< 7lqU< l<q7U8 V<7q sq7V< q=U q+=U q=D q+=",
+"D 7q=U =Uq> 7q=D =Dq> qU=M q=U+M V=q =aVq lq=U q>l=U Vql= V=sq q4U<E 4U<q!E",
+" qH4U< 4UHqa< 7qU<E q8<7UE 7qHU< 7U<qH8 <MEq4U <Mq!4UE Vq4H< qH4V<a l<q7UE ",
+"lUq87<E 7VqH< 7VHsq< qd=U q=U+d qH=U =Ugq 7qd=U q>=Ud q=H7U q>Dg= q=UdM q+U",
+"=Md =HVq V=gq l=qUd l=Uq>d V=qlH V>qg= U<qP q!U<P D<qP qDa<P U<1P q8U<P qD1",
+"<P qD8<P qUS< SqU<! S<Vq SqaV< lUS< Sq8U< SVl< Ss<Vq UPq* q+U<P DPq* q+D<P ",
+"q*1UP q8*UP qD*1P qD8P* SUq* Sq+U< S*Vq Vq+S< Sq*lU Sq8U* Vq*Sl sq*SV UWq< ",
+"qWU<! WDq< qWDa< qW1U< qW8U< qWD1< qWD8< SqUW< qWUS<! Z<Vq ZqVa< lWqU< S8Ul",
+"W< lZ<Vq sqZV< UWq* q+WU< WDq* gqUW< qW*1U qW8U* qWD1* g1U<P SqdU< S+UqW* Z",
+"*Vq gqZV< S<dlU S+UlW< Zq*Vl glSV< qUo< oqU<! o<qD oqDa< 7<oU 7oU8< 7oUD< 7",
+"oUa< SqUo< oqUS<! V<oq oVqa< rU< U8r< rV< s<rV oq=U q=oU+ oq=D q=Do+ 7o=U q",
+">o=U q=D7o q>Do= Sq=U S=qU+ VqS= oV+q= r=U =Ur> rV= s=rV oqUW< qW<oU! oqHU<",
+" oU<qWa 7oUW< 7U<qW8 7oUH< 7U<oH8 oqUS<W S!oqUW< oVZq< ZqaoV< UWr< rU8W< Z<",
+"rV rZVs< =Uvq vq=U+ =Dvq vqDg= vq7=U vq>=U vqD7= vq>=D vq=SU S=Uvq+ V=Zq Vv",
+"qg= =Urv rv>=U Z=rV y=rV ?qt q&?t ?qD cq? ?1tq ?t:q ?1qD :q?c tq?M ?qtM& V?",
+"q V?cq ?qlt ?t:lq l?Vq u?q tq* -qt qDt* cq- t1q* :qt- ?qD1* :c-q tMq* -Mtq ",
+"t*Vq V-q tql* lt-q V?lq* uq- ?Etq ?qt&E tq?H ?Hcq ?qt1E ?t:qE ?qHt1 cq?:H ?",
+"qtME tq&?ME ?HVq cq?VH l?qtE l?t:qE V?lqH ?quH tq?d td-q qHt* cqg? ?qdt1 -q",
+"t:d ?qD1d cq-g: ?qdtM -qtdM ?dVq V?gq l?dtq l-qtd V?dlq g?uq t4?q ?qt4& ?4q",
+"D c4?q ?q7t ?q7t: 7q?D ?q7c ?qt4M tq4?M& V4?q cq?V4 ?q7lt :ql7t? ?q7V ?qu7 ",
+"t=q -qt= ?q=D cq= q=7t Aqt q=D7t Aqc tq=M -qt=M Vqt= V=cq ltq= ltAq V=q7t A",
+"uq ?qt4E t4&?qE ?qHt4 cq?4H ?q7tE :q?7tE 7tH?q 7cq?H tq4?ME M&?Etq4 V?q4H V",
+"?4cqH l?q7tE lE7t:q? 7V?qH u?q7H tdq= -qt=d tq=H t=gq 7tdq= tqAd t=H7q gqAt",
+" t=qdM t=d-qM V?dq= cq=gV l=tqd Aqdlt V?d7q uqAg ?tP ?&tP tP?D ?Pcq ?1tP t:",
+"?P ?qD1P cq?:P S?t S&?t S?V S?c l?St ?tS: SlV? u?S t*?P ?Pt- ?qDP* cP-q ?tP",
+"1* -qt:P ?D1tP* cq-:P S*?t St-q S*V? cqS- St*l? l-qSt S?Vl* S?u- tq?W ?qWt&",
+" tH?P ?Wcq ?qWt1 :qW?t ?qW1D cqW?: ?WSt S?tW& tZS? Sc?Z l?WSt S?:tW S?Zlt S",
+"?uZ td?P tW-q ?qWDd ?tgP ?td1P -qWt: ?H1tdP cq-:W ?dSt -qWSt ?dSV S?gt S?dl",
+"t -qWlt V?dSl g?uS ot? o&?t ?Dot ?cot o?7t ?to: ot?7D ot:?c otS? ot?S& oV? ",
+"ocS? r?t ?tr: r?V ur? t=o ot- =Dot oct= 7ot= Aot t=o7D otAc S=t t=S- oVt= t",
+"=Sc rt= Art t=rV Aru ?Wot ot?W& ?Hot otc?H ot?7W ot:?W otH7? ot:?H ot?SW S?",
+"Wot& oV?Z oV?Zc ?trW r?t:W ?ZrV r?uZ ot?v o-tv =Hot t=go ?vq7t tvAo otH7= g",
+"oAt tvS? ot-Sv tZS= ?vSc ?vrt rtAv ?vrV yAur Xn n!X XnB aXn Xn. 8Xn n.XB aX",
+"8n XnK XKn! TXn aXTn Xjn Xj8n XjTn sXn Xn( +Xn n(XB aX+n n(X. 8X+n Xn(.B aX",
+"n+8 n(XK Xn+K XnT( TX+n X(nj Xj+n XjnT( +Xsn Gn Gn! GnH Gan Gn. G8n G.Hn H8",
+"Gn GnK n!GK GTn TnGa Gnj 8nGj HnGj sGn Gnd +Gn dXHn gXn G.dn G8+n dX.Hn G8g",
+"n GKdn GK+n TdGn GTgn dnGj Gn+j dXjHn sGgn 4X 4X! 4XB 4aX 4X5 48X 4B5X 5a4X",
+" 4XK XK4! 4TX TX4a 4Xj 8X4j 5T4X s4X 4X; 4+X 4BX; +X4a X;5n >X4 X;B5n 4a>X ",
+"4KX; 4K+X T;4X +T4X X;4j 4X>j X;j4T s4>X 4GX 4!Gn 4HX Ga4X G5n G84X H54X H8",
+"4X 4KGn 4GX!K GT4X 4GTaX Gn4j 4G8Xj HX4j 4GsX 4dX +G4X HX4d g4X 5d4X >nG 4H",
+"X5d g4>X 4KdX 4+GXK Td4X 4TgX dX4j Gn>j dXj4H s4gX XPn XPn! PnXB XPan PnX. ",
+"XP8n XPn.B aXP8n QXn n!QX TXQn aXQn XjQn 8XQn XjnTP QXsn PnX( XP+n XPn(B aX",
+"P+n XPn(. +X8Pn Pn(X.B +X8aPn XnQ( QX+n QXnT( +QXTn XjnQ( +QX8n QXTnj( sX+Q",
+"n Yn Yn! YHn Yan Yn. Y8n HnY. H8Yn YQn QnY! YZn ZnYa Yjn Q8Yn ZnYj sYn Ydn ",
+"Y+n HnYd gYn dnY. +nY8 YHdn. Y8gn QdYn +QYn YdZn YZgn dnYj +nYj YZdnj gnsY ",
+"oX o!X oXB oaX o5X o8X 5XoB 5aoX oQX QXo! oTX QaoX opX pXo8 pXoT osX oX; o+",
+"X X;oB +Xoa 5Xo; o>X o5X;B oa>X QXo; +QoX TXo; +ToX o;pX op>X opTX; >Xos oY",
+" oY! oYH Yao Y5o Y8o oHY5 oHY8 oYQ YQo! oZY YaoZ Ypo opY8 oZYp sYo Yvo Y+o ",
+"oHYv goY ovY5 Y>o YvoH5 Y>go YQov YQo+ YvoZ oZgY opYv o>Yp YZvop yoY Xn# X&",
+"n n#XB X&an n#X. X&8n Xn#.B aXn8& n#XK XK&n XnT# X&Tn X#nj &nXj XjnT# X&sn ",
+"n#X( X&+n Xn#(B aXn+& Xn#(. X&n+8 n#(X.B +X8an& Xn#(K X&n+K TXn#( +TX&n Xjn",
+"#( X&j+n TX#nj( sX+&n Gn# G&n G#Hn H&Gn n#G. 8nG& GnH#. G8nH& n#GK GK&n G#T",
+"n T&Gn G#nj &nGj GTnj# G&sn G#dn G&+n dX#Hn G&gn dX#n. dX&8n HX#dn. gX8&n d",
+"X#nK dX&nK GTnd# gXT&n dXjn# dX&nj dX#Hnj gsX&n 4X# 4X& X#4B aX4& 4#5X 5X4&",
+" 4X5#B 48Xa& X#4K 4KX& 4#TX TX4& 4#Xj X&4j 4TX5# 4Xs& 4#X; +X4& X;#4B aX;4&",
+" X;#5n 4X>& 5X#;nB >X4a& X;#4K X;&4K 4TX;# X;&4T X;j4# >X4&j X;#5Tn >Xs4& 4",
+"#Gn G&4X 4#HX HX4& G#5n 5&Gn 4HX5# 4H8X& 4GX#K 4G&XK 4GTX# 4GTX& 4GjX# X&j4",
+"G 4HXj# s4GX& 4#dX dX4& 4HXd# 4Xg& 4dX5# G&>n dX#H5n >Xg4& 4dX#K dX&4K 4TdX",
+"# g4XT& dXj4# >nG&j dX#4Hj >nsG& PnX# XP&n XPn#B aXP&n XPn#. X&P8n Pn#X.B 8",
+"XaP&n XnQ# X&Qn QXnT# QaX&n XjnQ# X&jQn QXTnj# sXQ&n XPn#( X&P+n Pn#X(B +Xa",
+"P&n Pn#X(. +X8P&n .BX(Pn# aX+P8n& QXn#( +QX&n TX#Qn( QX&+Tn QX#nj( +QX&nj Q",
+"#TnXj( +QXsn& Yn# Y&n HnY# H&Yn n#Y. 8nY& YHn#. Y8H&n QnY# Q&Yn Y#Zn ZnY& n",
+"jY# &nYj YZnj# Y&sn dnY# +nY& YHdn# Y&gn Ydn#. Y+8&n dn#YH. gY8&n YQdn# Y+Q",
+"&n YZdn# gYZ&n Yjdn# Y+j&n ZndYj# sYg&n oX# o&X X#oB aXo& 5Xo# 5Xo& o5X#B o",
+"8aX& QXo# QXo& TXo# TXo& o#pX pXo& opTX# o&sX X;o# +Xo& oX;#B o+aX& o5X;# o",
+"&>X X;#o5B o>aX& oQX;# o+QX& oTX;# o+TX& opX;# o>pX& pX;oT# os>X& oY# Y&o Y",
+"#oH oHY& o5Y# o8Y& Y5oH# Y5ao& oQY# YQo& Y#oZ Y&oZ Y#op opY& YpoZ# Y&os Y#o",
+"v ovY& YvoH# Y&go Yvo5# Y&o> ovHY5# goY>& YvoQ# Yv&oQ YZvo# goZY& Ypov# Yp&",
+"o> oZvYp# Y&yo In In! DXn aIn In. 8In D.In 8IDn InK IKn! TIn aITn Inj Ij8n ",
+"InDj sIn In( +In D(In DX+n n(I. 8I+n In(D. +DX8n n(IK +KIn T(In TI+n I(nj I",
+"n+j InjD( +Isn GnI G!In Jn Jna G.In 8IGn Jn. J8n GKIn InKG! JnT TnJa InGj I",
+"njG8 Jnj sJn Idn Gn+I Jnd gJn I.dn Id8n dnJ. J8gn dKIn Idn+K TdJn gTJn dnIj",
+" Idn+j dnJj gnsJ 4IX 4!In 4DX DX4a 5In 8I4X 5D4X D84X 4KIn InK4! DX4T 4DXTa",
+" In4j Inj48 DX4j 4DsX I;n +I4X D;4X +D4X I;5n >nI I;n5D 4D>X IK;n I;n+K I;T",
+"n a;nTI ;nIj In>j I;n5T sI>n Gn4I In!4G J4X 4aJn 5IGn 4G8In J5n 48Jn InK4G ",
+"4GKIn! 4TJn J4TaX Inj4G 4G8Inj 4XJj J4sX Id4X Idn4+ J;n J4gX Id5n Gn>I 5dJn",
+" J>n Idn4K IdK4+X T;Jn gJ4TX Idn4j >nGIj ;nJj >nsJ IPn n!IP IPDn IPan PnI. ",
+"IP8n IPnD. D8XPn QIn Q!In DXQn aIQn IjQn 8IQn IPjDn QIsn PnI( IP+n IPnD( +D",
+"XPn IPn(. +IP8n DP(In. D8P+In Q(In QI+n QDXn( +QDIn IPjn( IPj+n IP(Dnj sIP+",
+"n YIn InY! YJn JnYa InY. 8IYn Y.Jn JnY8 QIYn YQIn! ZJn ZaJn InYj Y8QIn JnYj",
+" YJsn IdYn +IYn YdJn YJgn IdnY. Y+8In YJdn. gYJ8n IdQn Y+QIn ZdJn ZJgn YjId",
+"n Y+jIn YJjdn sJngY oI oI! oDI oaI oI5 o8I 5DoI 5aoI oIQ QIo! oTI QaoI opI ",
+"pIo8 pDoI osI oI; o+I DXo; +DoI 5Io; o>I oD5I; oD>X QIo; +QoI TIo; +ToI o;p",
+"I p>oI opDI; sIo> oYI YIo! oJ oJa oIY5 oIY8 oJ5 oJ8 YQoI oYQI! oJZ oaZJ oIY",
+"p Y8opI oJp oJs ovI oIY+ oJv goJ o5vI oIY> J5ov oJ> oQvI Y+oQI JvoZ gZoJ pv",
+"oI o>IYp opJv yoJ bXn I&n DXbn cXn b.In 8Ibn In.bD 8Icn bKIn IK&n TIbn TIcn",
+" Inbj &nIj InjbT cXsn b(In +Ibn In(bD +Icn In(b. I&n+8 DX(bn. cX+8n In(bK I",
+"&n+K bTXn( cX+Tn Injb( I&n+j Ij(bTn sInc+ bGn G&bn Jnb cJn b.Gn G8bn bnJ. J",
+"8cn bKGn I&nGK bTJn cTJn Gnbj I&nGj bnJj cJsn Gnbd +Gbn bdJn cJgn Idnb. Idn",
+"b8 Jnbd. cJng8 IdnbK Idn&K JnbTd cJngT Idnbj Idn&j Jnjbd sJngc 4bX bX4& bX4",
+"D c4X b54X b84X 4bX5D 48cX 4KbX I&n4K bT4X 4TcX bX4j I&n4j 4bT5X c4sX b;4X ",
+"b+4X I;nbD 4+cX I;nb5 4b>X 5DXb;n c4>X I;nbK I;&nK I;nbT c4X+T I;nbj >Xb4j ",
+"4bTX;j c>Xs4 bG4X I&n4G 4bJn J4cX G5bn I&nG5 b5Jn J5cn 4bGXK InK4G& J4bTX c",
+"J4TX 4bGXj 4bGX&j J4jbX sJ4cX bd4X Idn4& b;Jn c4gX Idnb5 bG>n J5nbd cJ>n 4b",
+"dXK IdK;&n J;nbT cJ;Tn dXj4b >nbGj J;nbj J>nsc IPbn P&In IPnbD IPcn IPnb. I",
+"P&8n bPDIn. cX8Pn QIbn I&Qn bQXDn QIcn IPjbn IP&nj bTPInj sIPcn IPnb( IP&+n",
+" bPDIn( cX+Pn bP(In. +IPb8n IPbnD(. +IPcn8 bQXn( I&n+Q IP(bTn cQX+n IP(bnj ",
+"b+QInj InbjQD( sI+cQn Ybn bnY& JnYb Ycn bnY. b8Yn YJbn. cnY8 bQYn YbQ&n ZnY",
+"b ZnYc bnYj Yb8Qn YZbnj snYc bdYn b+Yn YJbdn gnYc Ybdn. Yb+8n JndYb. Ycg8n ",
+"YbQdn Yb+Qn YZbdn ZcngY Ybjdn Yb+nj YbdJnj sYcgn obI oI& bXoD ocI b5oI b8oI",
+" ob5DX o8cX bQoI QIo& bToI oTcX pboI pIo& opbDX sIoc bXo; b+oI obDI; o+cX o",
+"b5I; ob>X b5XoD; >Xoc obQI; ob+QI obTI; oc+QI opbI; o>bpI ob;pDX osc>X Ybo ",
+"obY& oJb Yco obY5 obY8 J5ob Y5oc YQob YboQ& YboZ ZcoJ opYb Ypbo8 obJp osYc ",
+"ovYb obY+ obJv Ycgo Yvbo5 Ybo> oJvb5 ocY> YvboQ Ybo+Q oJZvb ocZgY Ypbov Y>b",
+"op oJpvb Ycyo 6X 6X! 6XB 6aX 6X1 68X 6B1X 1a6X 6XK XK6! 6TX TX6a 6Xj 8X6j 1",
+"T6X s6X 6X( 6+X X(6B +X6a 6(1X 1+6X 6X1(B 6+X1a X(6K 6K+X 6(TX +T6X 6(Xj +X",
+"6j 6TX1( 6+sX 6GX 6!Gn 6HX Ga6X 1Gn G86X 1H6X Ga1n 6KGn 6GX!K GT6X 6GTaX Gn",
+"6j 6G8Xj GT1n 6GsX 6dX +G6X HX6d g6X 1d6X +G1n 6HX1d 68gX 6KdX 6+GXK Td6X 6",
+"TgX dX6j dXj6+ dXj6H s6gX 4X6 6!4X 4B6X 6a4X 7X 7X8 7XB 7aX 4K6X 4X6!K 6T4X",
+" 4TX6a 7Xj 8X7j 7TX 7sX 6X; 6+4X 6BX; aX6; 7X; >X7 X;7B 7a>X 6KX; 4+X6K TX6",
+"; aX;6T X;7j >j7X TX7; >X7s 6G4X 4G6n! 6H4X 4Ga6X 7GX G87X 7HX Ga7X 4G6XK 6",
+"GK4X! 4GT6X 6GT4aX Gn7j 7G8Xj GT7X 7GsX 6d4X 4+G6X HX6; 4Xg6 7dX 7G>X HX7d ",
+"g7X 4dX6K X;K6+G 4Td6X g4X6T dX7j 7>GXj Td7X gX7s 6XP XP6! XP6B aX6P 1X6P 8",
+"X6P 6X1PB 68XaP 6QX Q!6X QX6T Qa6X 1Q6X Q86X 6QX1T 6QsX XP6( +X6P 6XP(B 6+X",
+"aP 6X1P( 6+X1P 1X(6PB 1+X6aP 6(QX +Q6X 6QXT( 6+QTX 6QX1( 6+Q1X Xj(6TP s6X+Q",
+" Y6 Y6! Y6H Y6a Y61 Y68 6HY1 6HY8 Y6Q 6QY! YZ6 Z6Ya Y6j 6QY8 Z6Y1 sY6 Y6d Y",
+"6+ 6HYd gY6 6dY1 6+Y1 Y61Hd Y6g1 6QYd 6+YQ YdZ6 YZg6 6dYj 6+Yj YZ61d g6sY o",
+"6X 6Xo! 6XoB 6aoX 7oX o87X oX7B oa7X 6QoX o!6QX 6ToX oT6aX 7pX 78pX oT7X 7o",
+"sX 6Xo; 6+oX o6X;B o+6aX oX7; 7o>X 7oX;B 7oa>X QX6; o+6QX oT6X; o+T6X 7;pX ",
+"7p>X 7oTX; os7>X Y6o o!Y6 oHY6 oaY6 7Y 7Y8 7YH 7Ya o6YQ Y6oQ! Y6oZ YZ6oa 7Y",
+"p Y87p 7ZY sY7 Yv6 o+Y6 YHv6 Yvg6 7Yv Y>7 7HYv g7Y YQv6 Yv6+Q ZvY6 gY6oZ 7v",
+"Yp 7pY> YZ7v y7Y 6X9 6X& 6B9X 9a6X 1X9n :X6 6X19B 6a:X 6K9X 6KX& 9T6X TX6& ",
+"9X6j 6X:j 6TX9j :Xs6 6(9X 9+6X 6X9(B 6+X9a 6X19( 6+:X 1X(9nB :X6+a 6X9(K 6+",
+"X9K 6TX9( 6+T9X 6Xj9( :X6+j Xj(9Tn s:X6+ 9Gn G&6X 9H6X Ga9n 1G9n :Gn 6HX91 ",
+"6H:X 9KGn 6G&XK GT9n 6GTX& Gn9j Gn:j 6HX9j :Gsn 9d6X +G9n 6HX9d 6Xg9 6dX91 ",
+"6d:X 1HX9dn :Ggn 6dX9K dX&6K 6Td9X g6X9T dXj9n :Gn+j 9GTdnj g:Xs6 49X 6X4& ",
+"4B9X 9a4X 7X9 7:X 9X7B :X7a 4K9X 49X&K 9T4X 49TaX 9X7j 7j:X 9T7X 7:sX 9X6; ",
+"9+4X 49X;B aX;49 9X7; 7:>X 7X9;B 7:X>a 49X;K X;&6K 49TX; X;&6T 7X9;j 7:X>j ",
+"7TX9; 7sX:> 9G4X 49GX& 9H4X 49GaX 9G7X :G7X 9H7X :H7X 49GXK X&K49G 49GTX 6G",
+"T4X& 7G9Xj 7:GXj 7GT9X 7sG:X 9d4X dX&49 49HdX 49gX 9d7X :G>n 7HX9d 7:gX 49d",
+"XK dXK49+ 49TdX g49TX 7dX9j 7:dXj 7Td9X g7Xs: 9X6P X&6P 6XP9B 6aX9P 6X19P 6",
+"X:P 9X16PB :X6aP 9Q6X QX6& 6QX9T 6Qa9X 6QX9j 6Q:X 9TX6Pj :QXs6 6XP9( 6+X9P ",
+"9X(6PB 9+X6aP 9X16P( :X6+P 6(9X1PB 6+X:Pa 6QX9( 6+Q9X 6Q(9TX 9+Q6TX Xj(9Qn ",
+":QX6+ 6(QX9T1 sX+:Qn Y69 Y6& 6HY9 6HY& 9nY1 Y:6 Y691H :HY6 6QY9 6QY& Z6Y9 Z",
+"6Y& 6jY9 :QY6 YZ69j s6Y: 6dY9 6+Y9 Y69Hd Y6g9 Y691d :dY6 9HnY1d g6Y: Y69Qd ",
+"Y6+9Q YZ69d gY6Z9 Y6j9d Y:6+Q Y9dZ1n sY:g6 o9X 6Xo& 9XoB 9aoX o97X o:X 7o9X",
+"B oa:X 9QoX o9QX& 9ToX o9TaX p97X 7X:p 7oT9X sXo: 9Xo; 9+oX o9X;B o9+aX 7o9",
+"X; >Xo: o9;7XB o:>aX o9QX; o9+QX o9TX; o9+TX 7pX9; o:p>X 7T;p9X os:>X Y9o o",
+"9Y& oHY9 o9Ya 7Y9 Y:o 7HY9 Yao: YQo9 Y6&oQ Y9oZ oZ9Ya Y97p Ypo: Y97Z Y:7Z o",
+"vY9 o9Y+ Yv69H Y9go Y97v :v7Y 7Yv9H Y:go Yv69Q Yv6Q& oZ9Yv go9YZ Yp97v Y:op",
+"v 7ZYv9 Y:yo 6IX 6!In 6DX DX6a 1In 8I6X 1D6X D86X 6KIn InK6! DX6T 6DXTa In6",
+"j Inj68 DX6j 6DsX 6(In +I6X 6(DX +D6X 1(In +I1n 6DX1( 6+D1X In(6K 6+IXK 6DX",
+"T( 6+DTX Inj6( Inj6+ 6DXj( sIn6+ Gn6I In!6G J6X 6aJn Gn1I 6G8In J1n 68Jn In",
+"K6G 6GKIn! 6TJn J6TaX Inj6G 6G8Inj 6XJj J6sX Id6X Idn6+ 6dJn J6gX Id1n Idn6",
+"8 1dJn J1gn Idn6K IdK6+X J6TdX gJ6TX Idn6j 6+GInj J6jdX sJ6gX 6I4X In!46 6D",
+"4X 4DX6a 7IX 8I7X 7DX D87X InK46 6IK4X! 4DX6T 6TI4aX In7j 7I8Xj DX7T 7DsX I",
+";6X I;n6+ DX6; aX;6D I;7X 7I>X DX7; 7D>X I;n6K I;K6+X I;n6T 6+D4TX 7IX;j 7>",
+"IXj 7DXT; 7sI>X 4G6In 4G6In! 4XJ6 J46aX Gn7I 7G8In 7JX J87X 4G6InK 6!4GInK ",
+"J46TX 4TXJ6a 7GIXj Inj7G8 Jn7T sX7J Idn6; 6+GI;n 6XJ; gJ46X Id7X 7>GIn J;7X",
+" >X7J IdK6X; Id4X6+K J6;TX J4Tg6X 7IdXj >Ij7dX 7JTdX J>n7s 6IP 6!IP DX6P aI",
+"6P 1I6P 8I6P 6DX1P 6D8IP QI6X 6QIn! QD6X 6QDaX QI1n IPj68 IPj6D 6IsP 6(IP +",
+"I6P 6DXP( 6+DIP 6IP1( 6+I1P IP(1Dn 1+D6IP 6QIX( 6+QIP 6QDX( 6+QDX IPj6( IPj",
+"6+ IP(6Dj sIP6+ Y6I 6IY! YJ6 J6Ya 6IY1 68YI J6Y1 J6Y8 6QYI Y6QI! ZJY6 YZ6Ja",
+" 6IYj Y68QI J6Yj YJs6 6IYd 6+YI YdJ6 YJg6 Y61Id Y6+1I YJ61d gY6J1 Y6QId Y6+",
+"QI YZ6Jd gY6ZJ Y6jId Y6+Ij YJ6dj sY6gJ oI6 6Io! 6DoI 6aoI 7oI o87I oD7I oa7",
+"I 6QoI oIQ6! 6ToI oTI6a op7I 7oIp8 oT7I 7osI 6Io; 6+oI oD6I; o+D6I 7;oI 7Io",
+"> 7oDI; o>D7I oIQ6; o+I6Q oTI6; o+T6I 7oIp; o>I7p 7oTI; osI7> oIY6 Y6oI! oJ",
+"6 oaJ6 7YI 7IY8 7Jo Y87J Y6oQI oIQY6! Z6oJ oJZ6a 7IYp 7Yp8I oJ7Z 7JsY v6oI ",
+"Yv6+I Y6Jv g6oJ 7IYv 7IY> 7voJ 7Jgo Yv6QI Y6Qo+I oJZv6 goJZ6 7vIYp Y>7pI oJ",
+"p7v 7Jyo b6X 6&bX 6DbX c6X 6Xb1 :In b6X1D c6:X bK6X I&n6K 6TbX 6TcX 6Xbj In",
+":j Inj9D :Isn b(6X 6+bX b6XD( 6+cX b6X1( +I:n b6(1DX :cX6+ b6X(K b6+XK b6TX",
+"( c6X+T Inj9( :In+j In(b1T sIn:+ 6GbX I&n6G J9n J6cX 1Gbn bG:n b1Jn :Jn b6G",
+"XK I&K9Gn 9TJn cJ6TX Inj9G :Gnbj 9nJj sn:J 6dbX Idn6& 9dJn c6gX Idnb1 Id:n ",
+"J9n1d gn:J Idn9K IdK6X& J9nTd c6XgT Idn9j :Idnj J9ndj :Jngs b64X I&n49 9D4X",
+" 49cX 7bX :I7X bX7D 7cX 4bX6K I&K49X 4bT6X c4X6T bX7j 7:IXj bT7X sX7c 6Xb; ",
+"I;&6X I;n9D 6Xc; bX7; 7b>X 7bXD; >X7c I;n9K I;K6X& I;n9T c6XT; 7bX;j 7>bXj ",
+"7bTX; 7cXs> 4bG6X 49GI&n 49Jn cJ46X bG7X 7:GbX J97X 7X:J InK49G 4KbG6X& J49",
+"TX c4TJ9n 7bGXj 7bj:Gn 7JbTX 7Js:X Idn49 49+Idn 9;Jn cJ6X; bd7X 7:IdX 7JbdX",
+" >n:J IdK49X dX4&b6K J9;Tn c4Tg6X 7bdXj >Ij:Gn 7bTdX J>ns: 6IbP IP6& b6XDP ",
+"6IcP b6X1P 6I:P 6DXb1P :cX6P 6QbX IP&6Q b6QDX 6QcX IPjb6 QI:n b6TIPj sIP:n ",
+"b6XP( IP&6+ IP(9Dn c6X+P IP(b1n :IP6+ b(6X1DP :I+c6P b6QX( b6+QX IP(b6T c6Q",
+"+X IP(b6j :QI+n 6XbjQD( sI+:Qn Yb6 b6Y& J6Yb Yc6 b6Y1 :IY6 YJ6b1 Y6:J b6YQ ",
+"Yb6Q& ZbY6 Y6Zc b6Yj Y:b6Q YZb6j s6Yc b6Yd b6Y+ YJ6bd g6Yc Yb61d Y:b6+ YbdJ",
+"1n Y:Jg6 Yb6Qd Yb6+Q YZb6d Yc6gZ Yb6dj Yb6+j YbdZ1n sYcg6 o9I 6Io& 9DoI o9c",
+"X ob7I o:I 7obDX 7Ioc 9QoI o9IQ& 9ToI oc6QI pb7X op:I 7obTI sIo: 9Io; 9+oI ",
+"o9DI; oc6+I 7obI; :Io> 7D;o9I o:Ic> o9IQ; o9+QI o9TI; c6QX; 7pbX; o:Ip> 7b;",
+"oTI os:>I obY6 Ybo6& oJ9 Y6oc 7Yb Ybo: Yb7J Yc7 Ybo6Q Y6QoI& Z9oJ oJ9Zc Yb7",
+"p o:IYp Yb7Z Yc7Z vbY6 Yvb6+ o9Jv g9oJ Yb7v 7>Yb oJ97v Ycg7 Yvb6Q YbQo9+ oJ",
+"9Zv oJ9gZ 7Ybpv :vIop oJpv9 Ycy7 RXn n!RX XnRB RXan XnR. RX8n RXn.B aXnR8 X",
+"Mn n!XM XMTn XMan MnXj XM8n XMnTj XMsn XnR( RX+n RXn(B aXnR+ RXn(. R+8Xn Xn",
+"(R.B R+8aXn X(Mn XM+n XMnT( aXM+n XMnj( R+jXn RTXnj( sX+Mn RGn R!Gn GnRH Gn",
+"Ra R.Gn GnR8 RGHn. RG8Hn GMn G!Mn GnRT aMGn GnRj 8MGn RGTnj RGsn GnRd +nRG ",
+"RGHdn RGgn dX.Rn R+G8n RGHdn. gRG8n dMGn GM+n dXMHn GMgn dXMnj dXM8n RGTdnj",
+" gsRGn R4X 4!RX RB4X 4XRa 4XR5 4XR8 R45XB R48aX 4XM 4!XM 4XRT aX4M 4XRj 8X4",
+"M R4T5X R4sX 4XR; 4XR+ X;BR4 aX;R4 R45X; R4>X R45X;B >XR4a X;4M +X4M XM;4T ",
+"aXM4+ XM;4j 4X>M R4TX;j >XsR4 R4G 4!RG 4GRH 4GRa 4GR5 4GR8 R4GH5 R4GH8 4MRG",
+" R4GM! 4GRT aXM4G 4GRj R4G8M R4GHj R4sG 4GRd 4+RG R4GH; R4gX R4G5d R4>G 4HX",
+"R5d >XgR4 dX4M dXM4+ dXM4H 4XgM dXM4j GM>n R4HdXj >Xg4M XPRn RXPn! RXPnB aX",
+"PRn RXPn. R8XPn XPnR.B R8XaPn SXn n!SX TXSn aXSn XjSn 8XSn STXnj SXsn RXPn(",
+" R+XPn XPnR(B R+XaPn XPnR(. +XPR8n .BR(XPn aX+PR8n XnS( +XSn STXn( S+TXn SX",
+"nj( S+8Xn XjnST( Ss+Xn YRn RnY! RHYn RaYn RnY. R8Yn YRHn. Y8RHn SYn YnS! Zn",
+"SY SnYa SnYj SnY8 SZYnj SYsn RdYn R+Yn YRHdn YRgn YRdn. Y+R8n dn.YRH gYR8n ",
+"YdSn SnY+ SZYdn SYgn SYdnj SY+8n YZnSdj gSsYn oRX RXo! RXoB RaoX R5oX R8oX ",
+"oR5XB o8RaX SoX o!SX SXoT SXoa pXSo SXo8 SpToX sXSo R;oX R+oX oRX;B o+RaX o",
+"R5X; oR>X X;BoR5 o>RaX oXS; SXo+ S;ToX Sa;oX SpXo; So>X opTS;X os>SX oYR YR",
+"o! YRoH YRoa oRY5 YRo8 Y5oRH Y5aoR SoY S!oY SYoZ YaSo SoYp Y8So SZpoY SosY ",
+"vRoY YRo+ YvoRH oYgR YvoR5 >RoY ovRY5H goY>R YvSo Y+So YZvSo SogY SvoYp SoY",
+"> YpoSvZ SoyY XnR# RX&n RXn#B aXnR& RXn#. X&nR8 Xn#R.B R8aX&n X#Mn MnX& XMn",
+"T# aXM&n XMnj# XM&8n RTXnj# sX&Mn RXn#( X&nR+ Xn#R(B R+aX&n Xn#R(. R+8X&n .",
+"BR(Xn# aXR&+n8 XMn#( XM&+n TX#Mn( +TXM&n Mn#Xj( +XM&nj XMTnj#( XM&sn+ R#Gn ",
+"GnR& RGHn# RGa&n RGn#. RG8&n Gn#RH. G8nRH& G#Mn M&Gn RGTn# aMnG& RGjn# M&nG",
+"8 XM#Hnj sRG&n dX#Rn dX&Rn RGHdn# gRG&n RG#dn. RG8d&n dXHnR#. RG8gn& dXMn# ",
+"dXM&n dX#HMn gXM&n dM#Gnj XM&dnj dXHjMn# sX&gMn R#4X 4XR& R4X#B R4aX& R45X#",
+" R48X& 4X#R5B 4aXR5& 4#XM XM4& R4TX# aXM4& R4jX# XM&48 XM#5Tn sR4X& X;#R4 X",
+";&R4 R4#X;B R4aX;& R45X;# >XR4& 5#X;R4B R4a>X& XM;4# XM;4& XM#T;n XM&a;n XM",
+"#;nj >XM4& X;Rj4T# sX&>Mn R#4G 4GR& R4GH# R4GH& R4G5# R4G5& R4#H5X 4G8RH& R",
+"4GM# XM&4G R4GT# XM&4H R4Gj# M&nG5 XM#4Hj sR4G& R4Gd# dX&R4 dX#R4H gR4G& dn",
+"#RG5 >nGR& H#5nRG; >X&gR4 dXM4# dXM4& dX#R4T g4XM& dX#R4j >MG&n dX4MH5# sX&",
+"gR4 RXPn# X&PRn XPnR#B RaXP&n XPnR#. R8XP&n .BP#RXn aXR&8Pn XnS# X&Sn STXn#",
+" SaX&n SXnj# S8X&n XjnST# SsX&n XPnR#( R+XP&n XPRn#B( aXR&+Pn #(P.RXn 8X+PR",
+"&n XnR(.BP# anR&8X+P SXn#( S+X&n TXnS#( +TXS&n XjnS#( X&jS+n XjSnT#( S+Xsn&",
+" RnY# R&Yn YRHn# YaR&n YRn#. Y8R&n RHnY#. RH8Y&n YnS# SnY& SZYn# SZ&Yn SYnj",
+"# SY8&n YjnSZ# sYS&n YRdn# Y+R&n dn#YRH gYR&n dn#YR. d&nY8R dnY#RH. gR8Y&n ",
+"SYdn# SY+&n YZnSd# gSY&n YjnSd# S+nY&j dnYjSZ# sY&gSn RXo# R&oX oRX#B oaRX&",
+" oR5X# o8RX& R5Xo#B R5ao&X oXS# SXo& oTXS# oT&SX SpXo# Sp&oX oTXSp# osSX& o",
+"RX;# o+RX& X;#oRB aX;o&R X;#oR5 o>RX& X;o#R5B oaR>X& S;Xo# S;&oX oTXS;# S+X",
+"oT& opXS;# S>oX& X;S#opT S>Xos& oRY# YRo& oYRH# YaoR& Y5oR# Y5&oR oHRY5# Y5",
+"RoH& S#oY Y&So oZYS# oZ&SY YpoS# Yp&So oZSYp# sYoS& YvoR# Yv&oR oHRYv# goYR",
+"& ovRY5# Y>oR& YRoHv5# Y>Rgo& SvoY# Sv&oY oZYSv# goSY& YpoSv# S>Yo& SZYpov#",
+" yoYS& [n [!n [Dn [an [n. [8n Dn[. D8[n [Mn Mn[! V[n [aVn [jn 8M[n [jVn [sn",
+" [n( [+n Dn[( +D[n n([. +n[8 [Dn(. [+D8n Mn[( +M[n [nV( [+Vn nj[( +n[j V[nj",
+"( [+sn [Gn Gn[! Jn[ [aJn Gn[. G8[n [nJ. [8Jn GM[n [!GMn JnV JaVn Gn[j [8GMn",
+" VnJj Jn[s [dn +G[n [dJn g[n dn[. 8d[n Jn[d. [8gn dM[n [+GMn VdJn JngV dn[j",
+" [+jGn JnVdj gn[s [4 [4! [4D [4a [45 [48 4D[5 4D[8 [4M 4M[! V[4 [aV4 [4j 48",
+"[j [4V5 [s4 [4; [4+ 4D[; 4+[a 5n[; [>4 [45D; [a>n 4M[; 4+[M [4V; [4V+ 4j[; ",
+"[4>M V[4;j >n[s [4G 4G[! J4[ [aJ4 4G[5 4G[8 [4J5 [4J8 4G[M [4GM! V[J4 J4V[a",
+" 4G[j [48GM V5Jn J4[s [4d 4+[d [4J; g[4 4d[5 [d>n J4[5d >ng[ 4d[M [4+GM V;J",
+"n V[g4 4d[j [>4GM J4[dj g4[s [Pn n![P DP[n aP[n Pn[. 8P[n [DPn. [8DPn S[n [",
+"!Sn VnS[ Sn[a Sn[j Sn[8 SV[nj S[sn Pn[( +P[n [DPn( [+DPn [Pn(. [+8Pn DPn[(.",
+" +DP[8n [nS( Sn[+ SV[n( SV+[n S[nj( S[+8n VnjS[( [sS+n [Yn Yn[! [YJn Yn[a [",
+"nY. Yn[8 YJ[n. YJ8[n Sn[Y S[Yn! ]n ]an Yn[j S[8Yn ]jn ]sn Yn[d Yn[+ YJ[dn [",
+"Ygn [Ydn. Y+[8n [YdJn. g[Y8n Sn[d S[+Yn ]dn ]gn S[dnj S[8dn dn]j gs]n o[ o[",
+"! o[D o[a o[5 o[8 [5oD [5oa o[S S!o[ oV[ Sao[ [po S8o[ [poV os[ o[; o[+ [;o",
+"D [+oD o5[; [>o o[5D; oD[> S;o[ S+o[ V;o[ V[o+ [;op o[S> oVp[; [>oV o[Y o![",
+"Y oJ[ Yao[ Y5o[ Y8o[ J5o[ J8o[ SYo[ o[YS! ]o ]oa o[Yp [poY8 ]op ]os [vo Y+o",
+"[ [voJ go[ [5ov o[Y> oJ[v5 [>go o[Sv [voS+ ]ov ]og op[v [pvo> op]v ]yo [bn ",
+"[&n bn[D [cn bn[. b8[n [bDn. [8cn bM[n M&[n [bVn V[cn bn[j &n[j V[bnj sn[c ",
+"bn[( b+[n [bDn( [+cn [bn(. [+b8n bnD[(. [c+8n [bMn( [+bMn V[bn( [cV+n [jbn(",
+" [+jbn [jbVn( [sc+n bG[n G&[n [bJn Jn[c [bGn. [8bGn Jn[b. [cJ8n GMbn [&GMn ",
+"JbVn VJcn [jbGn [&jGn JnVbj [sJcn bd[n d&[n Jn[bd gn[c [dbn. [8dbn [dbJn. g",
+"[c8n [dbMn [d&Mn JnVbd gVn[c [djbn [d&nj Jnb[dj g[scn [4b [4& 4b[D [c4 4b[5",
+" 4b[8 [4b5D [4c5 4b[M 4M[& Vb[4 V[c4 4b[j 4&[j V[4b5 s4[c 4b[; 4b[+ [4bD; [",
+"4c; [4b5; [&>n b5n[;D >n[c [4bM; [4+bM V[4b; [c4V+ [4jb; [>4bM V4b[;j V>[c4",
+" 4b[G 4G[& Jb[4 J4[c [4bG5 [48bG J4[b5 [c4J5 [4bGM [4&GM J4V[b [c4VJ [4jbG ",
+"[4&Gj J4[bj [s4cJ 4b[d 4d[& J4[bd g4[c [4db5 [>4bG J4b[5d J>n[c [4dbM [4dM&",
+" J;Vbn g[4Vc [4dbj >MbGn J4b[dj J>Vcn bP[n P&[n [bDPn [Pcn [bPn. [8bPn bPD[",
+"n. [c8Pn [bSn Sn[& SV[bn cnS[ S[bnj S[8bn V[nSbj [scSn [bPn( [+bPn bPD[n( [",
+"c+Pn bPn[(. b+P[8n bD[(Pn. [+8cPn S[bn( S[+bn V[nSb( Sc[+n [jnSb( Sbn[+j nj",
+"V(S[b Sc+[sn [bYn Yn[& YJ[bn [Ycn Yb[n. Yb8[n Jn[Yb. Yc[8n SnYb S[&Yn ]bn ]",
+"cn SYbnj SYb8n bn]j sc]n Yb[dn Yb+[n Jn[Ybd g[Ycn [dnYb. Ybn[8d dnJ.Yb[ Yc8",
+"g[n S[dbn S[d&n bd]n gc]n Sbn[dj SbnY+j ]jnbd ]cngs o[b o[& [boD oc[ [5ob [",
+"5o& o[b5D c5o[ Sbo[ S&o[ V[ob o[Sc ob[p o&[p oVp[b [poc [;ob [+ob o[bD; c;o",
+"[ o[b5; ob[> [5boD; [>oc S[;ob o[+Sb oV[b; oV+[c [pob; [p&o> [pboV; oV>[c Y",
+"bo[ Y&o[ [Job o[Yc Ybo[5 o[8Yb oJ[b5 oJ8[c YbSo o[&SY ]ob ]oc [poYb [p&oY o",
+"p]b os]c ob[v o&[v oJ[vb ocg[ [vob5 [v&o> [vboJ5 oJ>[c [voSb [v&So ov]b go]",
+"c [pvob [pvo& ]opvb yo]c qX q!X qXB qaX q1X q8X 1XqB 1aqX qXM XMq! qTX TXqa",
+" lXq q8lX qTlX sqX qX( q+X X(qB +Xqa 1Xq( 1+qX q1X(B q+1aX XMq( +XqM TXq( +",
+"TqX qXl( q+lX lXqT( q+sX qG qG! qGH qGa qG1 qG8 1GqH 1Gqa qGM GMq! qGT GTqa",
+" lGq q8lG qGlH sqG qGd q+G HXqd gqG 1Gqd 1+qG qG1Hd qGg1 GMqd +GqM GTqd qGg",
+"M qGld q+lG lGqTd lGgq q4X 4Xq! 4XqB 4aqX 7qX q87X qX7B qa7X 4XqM q!4XM 4Tq",
+"X qT4aX lX7 l87X 7TlX lX7s q;X 4+qX X;qB aXq; q;7X q>X 7qX;B qa>X XMq; q+4X",
+"M TXq; q+T4X 7Xl; lXq> 7qTX; >Xsq qG4 4Gq! 4GqH 4Gqa 7qG q87G qG7H qG7a 4Gq",
+"M qG4M! 4GqT qGT4a 7qlG 7qGl8 7HlX 7qsG qG; 4+qG G;qH qGg4 qG7d q>G 7qGH; >",
+"Xgq GMq; q+G4M GTq; gq4GT 7dlX lGq> 7qGTd lXg7 qXP XPq! XPqB aXqP 1XqP 8XqP",
+" q1XPB q8aXP SqX q!SX SXqT SXqa SqlX SXq8 SlqTX SqsX XPq( +XqP qXP(B q+aXP ",
+"q1XP( q+1XP 1XPq(B 1+XqaP qXS( SXq+ SqTX( Sq+TX SlqX( Sq+lX lXTSq( sqS+X Yq",
+" Yq! YqH Yqa Yq1 Yq8 qHY1 qHY8 YqS S!Yq ZqY SaYq lYq S8Yq ZqlY sqY Yqd Yq+ ",
+"YHqd gqY qdY1 q+Y1 Yq1Hd g1Yq SdYq S+Yq qdYZ gYZq ldYq l+Yq lYZqd gqlY oqX ",
+"oXq! qXoB oXqa oq7X oXq8 7oqXB 7oaqX SXoq SqXo! oXqT SqaoX rX r8X rTX rsX o",
+"Xq; oXq+ oqX;B oq+aX 7oqX; oq>X oq;7XB q>oaX SXq; Sq+oX Sq;TX SqaX; r;X r>X",
+" TXr; >Xrs Yqo o!Yq oHYq oqYa 7Yq Y87q 7HYq Ya7q SoYq YqoS! oZYq YqaoZ rY r",
+"Y8 rZY rsY vqY Y+vq qHYv gYvq vq7Y Y>q vq7YH Y>gq YqSv vqYS+ YZvq goqSY rYv",
+" rY> YZrv yrY q9X q&X 9XqB 9aqX 9Xq1 :qX q91XB qa:X 9XqM XMq& 9TqX TXq& q9l",
+"X lX:q lXq9T sX:q 9Xq( 9+qX q9X(B q+9aX q91X( q+:X 9X1q(B :q+aX q9XM( q+9XM",
+" qT9X( q+T9X lXq9( :ql+X qT9lX( sq:+X qG9 qG& 9GqH 9Gqa 9Gq1 :qG qG91H qG:H",
+" 9GqM GMq& 9GqT GTq& l9qG lG:q lGq9H sG:q 9Gqd 9+qG qG9Hd qGg9 qG91d q+:G 9",
+"HXqd1 gX:q qG9dM q+G9M qGT9d gq9GT lGq9d :qGl+ lG9qTd glq:G 49qX 4Xq& q49XB",
+" qa49X q97X 7X:q 7q9XB 7qa:X 9X4M q&4XM qT49X qT&4X l97X 7:lX 7qT9X 7sX:q 9",
+"Xq; X;q& q;9XB qa;9X 7q9X; >X:q q;97XB q>:aX q;9XM q;&XM qT;9X qT;X& lX79; ",
+"q>l:X 7T9lX; sq>:X 49qG 4Gq& qG49H qGa49 79qG 7G:q 7qG9H :qG7H qG49M qG&4M ",
+"qGT49 qGT4& 7qGl9 :qG7l 7qG9T sqG7: 9Gq; G;q& qG;9H gq49G 7qG9d :Gq> 7G9qH;",
+" q>Gg: qG;9M qG;M& qGT9; g49XM 7dXl9 q>Gl: 7G9qTd q>Gs: 9XqP X&qP q9XPB qa9",
+"XP q91XP qX:P 9X1qPB :qaXP q9SX SXq& Sq9TX Sqa9X Slq9X :XSq lXqS9T sq:SX q9",
+"XP( q+9XP 9XPq(B 9+XqaP 9X1qP( :q+XP 91q(XPB q+a:XP Sq9X( Sq+9X qTXS9( S9Xq",
+"+T lXqS9( S:q+X l9qTSX( S:+sqX Yq9 Yq& qHY9 qHY& q9Y1 Y:q Yq91H Ya:q S9Yq S",
+"&Yq Y9Zq Y&Zq lqY9 YqS: lYZq9 Y:sq qdY9 q+Y9 Yq9Hd g9Yq Yq91d Y+:q qH9Y1d Y",
+":gq SqdY9 Yq+S9 ZqY9d gqZY9 lYq9d lY:q+ Zq9lYd glY:q q9oX oXq& oq9XB oqa9X ",
+"7oq9X oq:X oq97XB o:qaX SXo9 Sq&oX oqT9X S9aoX r9X r:X 9TrX s:rX oq9X; oq+9",
+"X q;Xo9B o9Xqa; oq97X; o:q>X 7Boq9X; q>ao:X Sq;9X Sq;X& S9XqT; S9Xo+T 9Xr; ",
+">Xr: r;X9T r>Xs: oqY9 oqY& Y9oqH Yqao9 Y97q Yqo: 7Yq9H o:HYq Y9So Yq&So oZ9",
+"Yq Zq&oY rY9 rY: YZr9 sYr: Y9vq Y&vq vqY9H vq&gY vq7Y9 vqY: 7Y9vqH go:Yq vq",
+"YS9 vq&SY ZqvY9 vq&YZ Yvr9 Y:rv rZYv9 rYy: [q [q! [qD [qa [q1 [q8 qD[1 qD[8",
+" [qM [Mq! Vq[ [aVq [lq q8[l [lVq sq[ [q( [q+ [(qD q+[a [(q1 q+[1 [q1D( [q+1",
+"D [(qM [Mq+ V([q [qV+ l([q [ql+ Vql[( [+sq [qG [!qG Jq Jqa qG[1 qG[8 Jq1 Jq",
+"8 [MqG [qGM! JqV qaVJ [qlG [lqG8 Jql sqJ [qd q+[d Jqd gqJ qd[1 q8[d qdJ1 g1",
+"Jq [Mqd [q+GM VdJq gVJq [qld [l+qG ldJq sqg[ [q4 q![4 qD[4 qa[4 7[ 7[8 7[D ",
+"7[a q4[M [q4M! [qV4 Vq[4a 7[l [87l 7V[ 7[s [q; q+[4 qD[; qa[; 7[; 7[> [;7D ",
+"7D[> [Mq; [q+4M [qV; Vq+[4 l;7[ l>7[ V;7[ V>7[ qG[4 [q4G! Jq4 qaJ4 7[G [87G",
+" 7Jq 7aJq [q4GM qGM[4! J4Vq JqV4a lG7[ 7[lG8 Jq7V 7Jsq qG[; [q+4G Jq; g4Jq ",
+"7[d 7G[> 7dJq g7[ [qd4M [4Mq+G J;Vq Jq;gV ld7[ [>l7G l;Jq 7Vg[ [qP [Pq! [Pq",
+"D [Pqa [Pq1 [Pq8 [q1DP [q8DP Sq[ S![q S[Vq [qSa Sq[l [qS8 SlV[q Sq[s qP[( [",
+"Pq+ [qDP( [q+DP [q1P( [q+1P qDP[1( [1Pq+D S([q [qS+ Sq[V( Vq+S[ Sq[l( [l+Sq",
+" [lSVq( sq[S+ Yq[ [!Yq JqY YaJq [qY1 [qY8 Y1Jq Y8Jq S[Yq Sq[Y! ]q ]qa [lYq ",
+"Yq8[l ]lq ]qs [dYq [qY+ qdYJ gYJq Y1[qd Yq+[1 JqY1d Jq8gY [qSd Yq+S[ ]qd ]q",
+"g lYq[d lY+[q ld]q gl]q o[q o![q [qoD [qoa 7[o o87[ 7Do[ 7ao[ Sqo[ Sq[o! Vq",
+"o[ oVq[a r[ r[8 rV[ r[s [;oq [qo+ o[qD; o[+qD [;7o o[q> 7[oD; [>o7D [qS; o[",
+"+Sq oVq[; oV+[q r[; r[> V[r; V>r[ o[Yq Yqo[! oJq oaJq 7[Y Y87[ oJ7[ Ya7[ Sq",
+"[oY o[SYq! ]oq oq]a r[Y Y8r[ ]r ]rs vq[ [+vq Jqv oJgq 7[v 7[Y> vq7J 7[go Sq",
+"[v vq[S+ ]qv go]q r[v Y>r[ ]rv ]yr tq[ [q& qD[t cq[ [1tq [:q tq[1D [:cq tM[",
+"q [Mq& V[tq [cVq tq[l [l:q Vql[t uq[ t([q [qt+ tq[D( [+cq tq[1( [+:q [1Dtq(",
+" cq[:+ tq[M( tq+[M Vq[t( cqV[+ [lqt( [:lq+ [ltVq( [qu+ tqG [&qG Jqt cqJ t1q",
+"G tG:q J1tq :Jq tMqG tqGM& VqtJ cJVq tqlG [:lqG ltJq uJq [qtd q+tG tdJq cqg",
+"[ tqG1d [q:d Jqt1d :Jgq tqGdM tq+GM JqVtd cqJgV [ldtq [:dlq Jqltd gquJ t4[ ",
+"[&t4 tD[4 t4[c 7[t 7[: [t7D 7[c tM[4 t4[M& V[t4 cqV[4 [l7t l:7[ V[7t u7[ [q",
+"t; [4t+ tq;[D [qc; t;7[ 7[t> 7[tD; [>7c tq;[M t4[+M Vq;[t cq;V[ [l;7t [>l7t",
+" 7V[t; 7[u> [4tG tqG4& t4Jq c4Jq tG7[ 7G[: tJ7[ :J7[ tqG4M t4MqG& JqVt4 cqJ",
+"V4 7tG[l 7[:lG Jql7t 7Juq [4td tq+4G t;Jq t4g[ td7[ tGq> Jq;7t 7[gt tqGM; t",
+"4M[d& Jq;Vt cqJV; 7[dlt [:d7l Jqlt; g7u[ [qtP [Pq& tq[DP [qcP tq[1P [q:P [q",
+"1tPD cq[:P tqS[ [qS& Sq[Vt Sq[c Sq[lt Sq[: VqlSt[ Squ[ tq[P( tq+[P [qDtP( c",
+"q[+P [q1tP( [:q+P t1qD[P( [:+cqP Sq[t( St+[q Vq[St( Scq[+ [lqSt( S:[q+ SlVq",
+"[t( uS+[q tYq Y&tq JqtY Ycq Y1tq Yq[: JqtY1 cqY: YqSt Yq&St ]qt ]qc ltYq lY",
+"t:q lt]q ]uq tdYq t+Yq JqtYd tYgq tYq1d [:dYq tY1Jqd g[:Yq StdYq tY+Sq tq]d",
+" gq]t lYtqd [:dSq ]lqtd ]qug ot[ [qo& [toD o[cq ot7[ o:[ ot7[D oc7[ o[St ot",
+"[S& V[ot oVt[c r[t r[: V[rt ur[ t;o[ t+o[ ot[D; otc[+ ot7[; [>ot 7[Dot; cq>",
+"o[ ot[S; ot+S[ oVt[; oVt[+ t;r[ t>r[ rV[t; r[u> tYo Y&ot oJt otYc tY7 7[Y: ",
+"7JtY 7[Yc SotY tYoS& ]ot ot]c rtY tYr: ]rt ur] vqtY Y+ot oJtv tYgo 7[tv 7Yt",
+"> oJt7v tYg7 vq[St ot+SY tv]o go]t tYrv tYr> rt]v ]yur w w! wB wa w. w8 w.B",
+" w8a wK w!K wT wTa wj w8j wTj sw w* w+ w*B w+a w*. w+8 *Bw. 8*wa w*K w+K wT",
+"* w+T wj* w+j T*wj sw+ wG w!G wH wHa wG. w8G wH. wH8 wGK GKw! wHT GTwa wjG ",
+"G8wj wHj swG fw fw+ fwH gw fw. fw8 f.wH gw8 fwK fKw+ fwT gwT fwj w+fj wHfj ",
+"gws w4 w!4 w4B wa4 w5 w58 w5B w5a w4K 4Kw! wT4 4Twa w5j 48wj w5T sw4 w= w=+",
+" w=B =aw w=5 w> =Bw5 w>a w=K =Kw+ =Tw w+=T =jw w>j w5=T sw> w4G 4Gw! wH4 4G",
+"wa w5G 4Gw8 wH5 4Hw8 4GwK w!4GK 4GwT wH4Ta 4Gwj w5G8j 4Hwj wHs4 fw= w+f= =H",
+"w gw= fw5 w>f wHf5 gw> =Kfw fw=+K fw=T =Tgw fw=j fjw> wH=j s=gw wP w!P wPB ",
+"waP wP. w8P P.wB 8Pwa wQ wQ! wQT wQa wQj wQ8 TPwj swQ wP* w+P P*wB +Pwa P*w",
+". +Pw8 wP*.B w+a8P wQ* w+Q Q*wT +QwT Q*wj +Qw8 wQT*j w+sP Yw Yw! YwH Ywa Yw",
+". Yw8 Y.wH wHY8 YwQ Y!wQ Zw Zwa Ywj wQY8 Zwj sYw Yfw Yw+ wHYf gwY Y.fw fwY8",
+" YfwH. Y8gw fwQ w+fQ Zwf gwZ fwYj w+Yj fjZw sYgw ow ow! owB owa ow5 ow8 oBw",
+"5 w5oa owQ o!wQ owT wQoa pw pw8 pwT swo ow= ow+ =Bow ow=a w5o= w>o ow=5B oa",
+"w> =Qw w+=Q ow=T w+oT pw= pw> =Tpw pws= Ywo o!Yw owH owYa Yw5 owY8 wHY5 wHo",
+"8 wQoY YwoQ! Zwo oaZw pwY Y8pw Zwp osZw x x+ xH xg x5 x> xH5 xg> xQ x+Q xZ ",
+"xZg xp xp> xZp yx w, w& w,B wa& w,. w8& ,.wB ,8wa w,K w&K wT, wT& wj, w&j ,",
+"Twj sw& w*, -w *Bw, -wa ,*w. -w8 w*,.B -8wa ,*wK -wK ,Tw* -wT ,jw* -wj wT*,",
+"j sw- wG, w&G wH, wH& ,Gw. ,Gw8 ,Hw. ,Hw8 ,GwK G&wK ,GwT GTw& ,Gwj G&wj ,Hw",
+"j wHs, fw, -wf f,wH gw- w,f. f8-w fwH,. w8g- w,fK fK-w f,wT fT-w f,wj fj-w ",
+"fwT,j s-gw w4, w&4 ,4wB ,4wa w5, w5& ,5wB ,5wa ,4wK 4&wK ,4wT 4Tw& ,4wj 4&w",
+"j ,5wT w5s, w=, -w= w,=B =a-w =,w5 w>- w=5,B wa-> w,=K =K-w =,wT =T-w =,wj ",
+"=j-w =Tw,5 s-w> ,4wG 4Gw& ,4wH 4Hw& ,Gw5 G5w& ,Hw5 H5w& w4G,K w&4GK wH4,T w",
+"H&4T w5G,j w5&Gj wH5,T sw4,G =,fw f=-w =,wH -wg= f,w5 -wf> =Hw,5 g-w> fw=,K",
+" -wf=K =Hw,T -wTg= fw5,j w>f-j =Hw,j gws-> wP, w&P ,PwB ,awP ,Pw. ,8wP wP,.",
+"B w8a,P wQ, wQ& ,QwT ,Qwa ,Qwj ,Qw8 wQT,j wQs, ,Pw* -wP wP*,B wa-P wP*,. w8",
+"-P P*.w,B -w8aP ,Qw* -wQ wQT,* wQ-T wQ*,j wQ-j P*jwT, sP-w Yw, Yw& wHY, wHY",
+"& w,Y. w8Y& YwH,. Yw8,H wQY, wQY& Zw, Zw& wjY, w&Yj wjZ, s,Zw fwY, Y-w Yfw,",
+"H Y-gw Yfw,. Y8-w fwHY,. gwY-8 f,wQ fQ-w fwZ, Z-w Yfjw, Yj-w Zwf,j Y-sw ow,",
+" ow& w,oB wao& w5o, w5o& ow5,B ow8,a wQo, wQo& wTo, wTo& pw, pw& wTp, s,pw ",
+"w=o, o-w ow=,B oa-w ow=,5 w>o- w=5o,B o-w>a =,wQ =Q-w owT=, oT-w w=p, -pw p",
+"w=,T o-sw Y,o owY& oHY, oaY, o,Y5 o8Y, Yw5,H Yw5,a YQo, Yw&oQ Y,oZ owZ& Y,p",
+"w Y&pw Z,pw Y,os x, x- x,H xg- x,5 x-> ,Hx5 g-x> x,Q x-Q xZ, xZ- xp, xp- Zp",
+"x, yx- wI w!I wD wDa wI. w8I wD. wD8 wIK IKw! wDT TIwa wjI 8Iwj wDj swD wI*",
+" w+I wD* w+D I*w. +Iw8 D*w. +Dw8 I*wK +IwK D*wT +DwT I*wj +Iwj D*wj w+sI wG",
+"I GIw! Jw Jwa GIw. G8wI Jw. Jw8 GIwK w!GIK JwT JTwa GjwI w8GIj Jwj swJ fwI ",
+"fIw+ Jwf gwJ wIf. fIw8 J.fw J8gw wIfK fw+IK fTJw wTgJ fIwj fw8Ij fwJj sJgw ",
+"w4I 4Iw! wD4 4Dwa w5I 48wI w5D 4Dw8 4IwK w!4IK 4DwT wD4Ta 4Iwj w58Ij 4Dwj w",
+"5sI =Iw w+=I =Dw w+=D w5=I w>I w5=D w>D wI=K =Iw+K wD=T =Dw+T wj=I >Iwj wD=",
+"j =Dsw 4GwI w!4GI Jw4 waJ4 G5wI w5G8I Jw5 w5J8 w4GIK 4GIw!K wTJ4 Jw4Ta w5GI",
+"j 4G8wjI w5Jj s4Jw fw=I =Ifw+ J=w J=gw fIw5 >Ifw fwJ5 J>w =IfwK fw+=IK =TJw",
+" J=gwT =Ijfw w>fIj =jJw J>sw wIP IPw! wDP DPwa IPw. 8IwP DPw. D8wP wQI QIw!",
+" wQD QDwa QIwj Q8wI QDwj wQsI IPw* +IwP DPw* +DwP IP*w. w+8IP wDP*. w+D8P Q",
+"Iw* +QwI QDw* +QwD wQI*j w+Q8I wQD*j sw+QD YwI w!YI JwY YaJw wIY. YIw8 Y.Jw",
+" Y8Jw YIwQ YwQI! ZwJ waZJ YIwj Yw8QI YjJw sJZw YIfw YIw+ YfJw JwgY YfwI. Yf",
+"8wI YJfw. Jw8gY fIwQ Yw+QI JwZf gZJw YfjwI Yw+Ij JwjZf gwZsJ owI w!oI owD w",
+"Doa w5oI w8oI w5oD wDo8 wQoI owQI! wQoD owDQa pwI w8pI pwD sIpw =Io o+=I ow",
+"=D oa=I =5oI =Io> owD=5 oDw> oI=Q ow+QI oT=I ow+QD =Ipw pIw> =Dpw =Ios oIYw",
+" YwoI! oJw oaJw YIw5 Yw58I Y5Jw o8Jw YwoQI oIQYw! oJZw oJZwa pIYw pwY8I Jpw",
+" oJsw xI x+I xJ xJg x5I x>I xJ5 xJ> xQI +QxI xZJ gZxJ xpI p>xI xJp yxJ hw h",
+"w& hwD cw hw. hw8 h.wD cw8 hwK hKw& hwT cwT hwj w8hj wDhj hsw hw* -wh h*wD ",
+"cw- w*h. h8-w hwD*. w8c- w*hK hK-w h*wT hT-w h*wj hj-w hwT*j s-cw hwG hGw& ",
+"Jwh cwJ wGh. hGw8 h.Jw h8Jw wGhK hwG&K hTJw wTcJ hGwj hw8Gj hjJw sJcw hfw h",
+"f-w hfJw iw h.fw fwh8 Jwhf. iw8 hKfw -whfK fwhT iwT fwhj -wjhf Jwjhf isw hw",
+"4 w&h4 wDh4 cw4 hw5 w5h8 wDh5 cw5 w4hK hw4&K wTh4 wTc4 w5hj hw5&j w5hT h4sw",
+" h=w -wh= hw=D cw= w=h5 h>w h=w5D cw> =Khw h=-wK hw=T =Tcw hw=j hjw> h=Tw5 ",
+"swh> w4hG hw4G& h4Jw c4Jw hGw5 hw5G8 h5Jw c5Jw hw4GK w&Gh4K Jwh4T cwJ4T hw5",
+"Gj h4Gw&j Jw5hT cw5sJ fwh= h=f-w Jwh= iw= fwh5 hfw> J=hw5 iw> h=fwK -wfh=K ",
+"J=hwT =Tiw h=jfw h>wfj J=jhw swi> hwP w&hP wDhP cwP wPh. w8hP hwDP. w8cP hw",
+"Q w&hQ wQhT cwQ wQhj wQh8 hwQDj hQsw wPh* hP-w hwDP* cP-w hwP*. -wh8P wD*hP",
+". cw-8P h*wQ hQ-w hwQD* cQ-w hwQ*j -wQh8 hQ*wDj cwQs- hYw Y&hw JwhY Ycw h.Y",
+"w Ywh8 hYJw. Y8cw YwhQ hYwQ& hZw Zwc Ywhj hY8wQ hjZw swhZ Yfhw -whY hYJfw i",
+"Yw hYfw. hY8-w JwfhY. Ywi8 fwhQ -wQhY hfZw iZw hYjfw Y-jhw hZwfj sYiw oh oh",
+"& ohD ohc oh5 oh8 oDh5 h5oc ohQ o&hQ ohT hQoc hpo h8pw hTpw hso oh= oh- =Do",
+"h c=oh o=h5 h>o oh=5D och> =Qoh hQo- =Toh =Qcw h=pw o-hp ohTp= ohs= ohY Y&o",
+"h oJh ohYc Ywh5 Y8oh h5oJ h8oJ oYhQ ohYQ& hZo ochZ hYpw oh8Yp Zwhp oJhs xh ",
+"xh- xJh ix xh5 xh> hJx5 ix> xhQ h-xQ xZh ixZ xph hpx- hZxp ixy w6 w!6 w6B w",
+"a6 w1 w18 w1B w1a w6K 6!wK wT6 6Twa w1j 68wj w1T sw6 w6* w+6 6*wB 6+wa w1* ",
+"w1+ 1*wB 1+wa 6*wK 6+wK 6Tw* 6+wT 6*wj 6+wj 1Tw* w1s* w6G 6Gw! wH6 6Gwa w1G",
+" 6Gw8 w1H 6Hw8 6GwK w!6GK 6GwT wH6Ta 6Gwj w1G8j 6Hwj w1sG fw6 w+f6 wHf6 gw6",
+" fw1 w1f8 wHf1 gw1 w6fK fw6+K wTf6 wTg6 w1fj fw1+j w1fT g6sw w46 6!w4 46wB ",
+"4aw6 7w 7w8 7wB 7wa 46wK w!46K 4Tw6 wT46a 7wj 78wj 7wT sw7 w=6 =6w+ w6=B =6",
+"wa 7w= w>7 =B7w =a7w w6=K w=6+K =6wT =Tw6+ =j7w wj7> =T7w 7sw> 4Gw6 w!46G 4",
+"Hw6 wH46a 7wG w87G 7wH wH7a w46GK 4G6w!K wH46T 4GTwa6 wj7G 7wG8j wH7T sG7w ",
+"w=f6 fw=6+ =6wH w=g6 7fw w>7f =H7w g7w fw=6K w=+f6K =Hw6T gw=6T fj7w w>7fj ",
+"fw7T swg7 w6P 6Pw! 6PwB 6awP w1P 68wP 1PwB 1awP wQ6 6Qw! 6QwT 6Qwa w1Q 6Qw8",
+" 1QwT w1sP 6Pw* 6+wP w6P*B w+6aP 1Pw* 1+wP w1P*B w1+aP 6Qw* 6+wQ wQ6T* w+Q6",
+"T 1Qw* 1+wQ w1QT* sw6+Q Yw6 w!Y6 wHY6 waY6 Yw1 w1Y8 wHY1 w1Ya wQY6 Yw6Q! Zw",
+"6 waZ6 w1Yj Yw1Q8 Zw1 s6Zw Yf6 f6Y+ YHf6 Yfg6 fwY1 f6Y8 Yf61H Ywg1 fQY6 Yf6",
+"+Q Y6Zf g6Zw f6Yj Yf6+j fwZ1 g1Zw ow6 w!o6 w6oB o6wa 7wo o87w 7Bow ow7a o6w",
+"Q ow6Q! o6wT owT6a pw7 w87p 7Tpw 7spw =6ow o6w+ ow=6B ow+6a ow7= o>7w 7o=wB",
+" w>o7a =6wQ ow+6Q owT=6 ow+6T p=7w 7pw> pw7=T pw>7s owY6 Ywo6! o6wH Ywao6 7",
+"Yw Y87w 7HYw Ya7w Ywo6Q owQY6! owZ6 Zwo6a pw7Y pw7Y8 7Zw 7Zsw x6 x6+ x6H xg",
+"6 x7 x7> x7H xg7 x6Q 6+xQ xZ6 gZx6 xp7 7px> xZ7 yx7 ?w ?w& ?wB ?wa ?w1 :w ?",
+"Bw1 :wa ?wK ?Kw& ?wT wT?a ?wj :wj w1?T s?w ?w* -w? w*?B ?a-w ?*w1 :w- ?w1*B",
+" wa:- w*?K ?K-w ?*wT ?T-w ?*wj ?j-w ?wT1* s-:w ?wG w&?G ?wH wH?a w1?G :wG w",
+"1?H :wH wG?K ?wG&K wH?T ?wHT& wj?G wj:G wH?j sG:w ?fw -w?f fw?H g?w f1?w :f",
+"w ?wHf1 gw: ?Kfw ?f-wK fw?T ?Tgw fw?j fj:w ?fTw1 s?gw ?w4 ?4w& w4?B ?4wa 7w",
+"? :w7 7B?w ?a7w w4?K ?w4&K ?4wT ?wT4a ?j7w wj7: ?T7w 7s:w ?w= ?=-w =B?w ?w=",
+"a ?=7w Aw ?w=7B Awa =K?w ?w=-K ?w=T -wT?= ?w=j Awj 7wT?= Asw w4?G ?w4G& ?4w",
+"H ?wH4a ?G7w 7G:w ?H7w 7H:w ?w4GK w&4?GK ?wH4T ?G4wT& ?wj7G :w7Gj 7wH?T :wH",
+"7s fw?= ?w=f- ?w=H ?wg= 7w?f Afw 7wH?f Agw ?w=fK -w=?fK ?fTw= g?w=T ?fj7w f",
+"wAj 7fT?w gwAs ?wP w&?P wP?B wa?P w1?P :wP ?w1PB wa:P ?wQ w&?Q wQ?T wQ?a w1",
+"?Q :wQ ?wQ1T sP:w wP?* ?P-w ?wP*B ?-Pwa ?w1P* :P-w w1*?PB :w-aP ?*wQ ?Q-w ?",
+"wQT* -wQ?T ?wQ1* :Q-w ?Q*w1T :wQs- ?Y ?Y& ?YH ?Ya ?Y1 ?Y: Y1?H ?HY: ?YQ Y&?",
+"Q ?ZY ?aZw ?Yj ?QY: ?jZw s?Y ?Yf ?Y- Yf?H g?Y Y1?f :f?Y ?Yf1H Y:g? Yf?Q ?QY",
+"- ?fZw ?Zgw Yf?j ?jY- ?ZYf1 sYg? o?w o&?w ?Bow ow?a o?7w :wo 7wo?B oa:w ow?",
+"Q ?wQo& ow?T o?Twa ?pw :wp ?Tpw ?psw ow?= -wo? ?w=oB o-?wa ?w=7o Aow o?=7wB",
+" owAa ?w=Q o-?wQ o?Tw= o-T?w ?wp= Apw ?pw=T swAo ?Yo Y&o? oY?H Yao? ?Y7 :w7",
+"Y ?H7Y ?a7Y oY?Q ?YoQ& o?Zw ?ZoYa ?pY Y:?p 7Z?Y ?psY x? x?- x?H x?g x?7 Ax ",
+"?Hx7 Axg x?Q ?-xQ x?Z g?xZ x?p Axp ?Zxp Axy w6I 6Iw! wD6 6Dwa w1I 68wI w1D ",
+"6Dw8 6IwK w!6IK 6DwT wD6Ta 6Iwj w18Ij 6Dwj w1sI 6Iw* 6+wI 6Dw* 6+wD 1Iw* 1+",
+"wI 1Dw* 1+wD w6I*K w+6IK wD6T* w+D6T w1I*j w1+Ij w1DT* sw6+D 6GwI w!6GI Jw6",
+" waJ6 1GwI w1G8I Jw1 w1J8 w6GIK 6GIw!K wTJ6 Jw6Ta w1GIj 6G8wjI w1Jj s6Jw w6",
+"fI fw6+I fwJ6 g6Jw fIw1 fw1+I fwJ1 g1Jw fw6IK w+If6K Jwf6T gwJ6T fw1Ij f6Iw",
+"+j Jw1fT gwsJ6 4Iw6 w!46I 4Dw6 wD46a 7wI w87I 7wD wD7a w46IK 4I6w!K wD46T 4",
+"TIwa6 wj7I 7w8Ij wD7T sI7w w6=I =Iw6+ =6wD =Dw6+ =I7w 7Iw> =D7w 7Dw> =Iw6K ",
+"w+6=IK =Dw6T =D6w+T 7w=Ij w>7Ij 7wD=T w>D7s w46GI 4G6w!I w4J6 Jw64a wG7I 7w",
+"G8I 7Jw 7aJw 4G6wIK 6!w4GIK Jw64T wT4J6a 7wGIj w8G7Ij 7TJw 7Jsw =Ifw6 fw6=I",
+"+ w=J6 J=gw6 fw7I w>7fI 7wJ= 7Jgw fw6=IK =6w+fIK J=w6T gw6J=T 7fwIj 7fIw>j ",
+"J=j7w J>w7s 6IwP w!6IP 6DwP wD6aP 1IwP w18IP 1DwP w1D8P 6QwI wQ6I! 6QwD wQD",
+"6a 1QwI w1Q8I 1QwD sw6QD IP6* w+6IP wD6P* w+D6P w1IP* w1+IP w1DP* w1+DP wQ6",
+"I* w+Q6I wQD6* w+Q6D w1QI* w1+QI w1QD* sIP6* w6YI Yw6I! Y6Jw YJ6wa YIw1 Yw1",
+"8I Y1Jw Jw1Y8 Yw6QI wQIY6! Z6Jw ZwJ6a Yw1QI Y6IwQ8 Z1Jw sYwJ6 YIf6 Yf6+I Jf",
+"Y6 gY6Jw Yf61I Yf68I Jw1Yf gw1YJ Yf6QI Y6Iw+Q Zf6Jw gwZJ6 Yf6Ij Y6IfQ8 Zw1J",
+"f gwZJ1 w6oI ow6I! o6wD owD6a ow7I 7oIw8 ow7D 7wDo8 ow6QI wQ6oI! owD6Q oD6w",
+"Qa 7Ipw pw78I 7Dpw osI7w =6oI ow+6I owD=6 ow+6D 7o=I w>o7I 7wDo= w>D7o =Qw6",
+"I o+6=QI oTI=6 o+6=TI pw7=I pw>7I pwD7= osI7= Ywo6I owIY6! J6ow oJw6a 7IYw ",
+"7Yw8I 7woJ oJ87w owQY6I o!Yw6QI oJZw6 Zw6oJa pw7YI 7Y8pwI Zw7J oJs7w x6I 6+",
+"xI xJ6 gJx6 x7I 7>xI xJ7 g7xJ 6QxI x6+QI ZJx6 xZJg6 7pxI xp7>I 7ZxJ x7yJ h?",
+"w w&h? ?wD cw? hw1 :wh w1?D :wc ?Khw ?w&hK ?whT ?Tcw ?whj hj:w w1hT :whs h*",
+"?w h?-w ?*wD -w?c h*w1 -wh: ?wD1* :c-w ?w*hK -w?hK ?wDT* cw?-T ?wjh* :wh-j ",
+"?wD*j :wcs- ?Ghw ?wGh& ?Jw cw?J hGw1 :Ghw h1Jw :Jw ?wGhK hw&?GK ?TJw cw?JT ",
+"?wjhG :whGj ?jJw ?Jsw hw?f ?fh-w Jw?f i?w fwh1 hf:w Jw1?f i:w ?fhwK -wh?fK ",
+"?fTJw ?wiT ?fjhw :fwhj ?Jjfw s?iw ?wh4 ?w4h& ?4wD c4?w 7hw :w7h ?D7w 7cw ?w",
+"4hK h4&?wK ?wD4T cw?4T hj7w :w7hj hT7w 7hsw ?wh= ?w=h- ?w=D ?wc= 7wh= Ahw 7",
+"wDh= Acw ?w=hK -w?h=K h=T?w cw=?T h=j7w hwAj 7hTw= hsAw ?w4hG hw4?G& J4?w c",
+"w?J4 7Ghw :w7hG 7w?J :w7J hw4?GK hGw&?4K ?Jw4T ?J4cwT 7hwGj 7hG:wj ?J7wT hs",
+"7Jw ?w=hf ?f-h=w ?wJ= ?wi= hf7w hfAw ?J7fw Aiw ?fwh=K =K?f-wh ?J=wT i?w=T 7",
+"hfwj Ahjfw J=j?w isAw h?P h&?P ?DhP hP?c ?Ph1 hP:w ?wD1P :Pcw ?whQ ?wQh& ?T",
+"hP ?Qcw ?Phj hQ:w ?wQ1D hPs? h*?P ?-hP ?wDP* cw?-P h?P1* :wh-P ?D*h1P :wc-P",
+" ?wQh* -wQh? ?wQD* cwQ?- ?Pjh* :wQh- ?Q*w1D :wc-Q ?Yh Y&h? ?JY ?Yc h1?Y hY:",
+"w Y1?J Y:?J hQ?Y ?YhQ& ?YhZ Yc?Z hj?Y :wQhY h1Zw ?JsY ?fhY h?Y- YJ?f i?Y hY",
+"1?f ?Y:hf ?JYf1 ?Yi: ?fQhY ?Y-hQ hZ?Yf ?ZiY ?Yjhf :wQhf hZwf1 s?iY oh? o&h?",
+" ?Doh ?coh 7ho oh: 7Doh oh7c hQo? oh?Q& hTo? ohc?Q oh?p :whp ?Dpw ohs? o?h=",
+" h?o- oh?=D ohc?- 7oh= Aoh 7ho=D ohAc oh?=Q oh-?Q ohT?= oh-?T hpo?= hpAo oh",
+"T7= hsAo oh?Y oh?Y& ?Jo oc?J 7hY 7hY: 7J?Y 7hYc oh?YQ ?YQoh& oJ?Z hZo?c ?Yh",
+"p :wphY 7YhZ Yc?p x?h h?x- x?J ix? x7h Axh ?Jx7 Aix h?xQ x?h-Q hZx? x?iZ hp",
+"x? xpAh hZx7 yAix wR w!R wRB waR wR. w8R R.wB R8wa wM wM! wTR waM wMj w8M R",
+"Twj swR wR* w+R R*wB R+wa R*w. R+w8 wR*.B w+R8a wM* w+M RTw* R+wT R*wj R+wj",
+" wTR*j w+sR wRG RGw! wHR RGwa RGw. RGw8 RHw. RHw8 wMG GMw! wHM GawM RGwj G8",
+"wM RHwj wHsR fwR w+fR wHfR gwR wRf. w8fR fwRH. w8gR fwM w+fM wHfM gwM wMfj ",
+"w8fM fwTRj gRsw wR4 R4w! R4wB R4wa w5R R4w8 R5wB R5wa wM4 4Mw! R4wT 4awM w5",
+"M 48wM R5wT w5sR =Rw w+=R wR=B wa=R w5=R w>R =Rw5B >Rwa =Mw w+=M wT=R wa=M ",
+"w5=M w>M =RTw5 >Msw R4wG w!R4G R4wH wHR4a RGw5 w5RG8 RHw5 wH5R8 4GwM wM4G! ",
+"4HwM wHM4a G5wM w5MG8 H5wM swR4G =Rf =+fR fR=H =Rgw f5=R =Rf> =RfH5 gRw> fw",
+"=M =Rf+M fR=T =Mgw fR=j fw>M =RfHj >Mgw wRP RPw! RPwB RawP RPw. R8wP wRP.B ",
+"w8RaP Sw Sw! SwT Swa Swj Sw8 STwj swS R*wP R+wP wRP*B w+RaP wRP*. w+R8P P*.",
+"wRB aP*w8R Sw* Sw+ wTS* w+Sa wjS* w+S8 SwT*j s*Sw YwR w!YR YRwH YRwa wRY. Y",
+"Rw8 YwRH. Yw8RH SwY S!Yw ZwS SaZw YjSw YwS8 wjSZ SsZw fRYw YRw+ YfwRH YwgR ",
+"YfwR. Yf8wR fRHYw. gwYR8 Sfw YwS+ ZwSf gwS fjSw fwS8 SfZwj swgS owR w!oR wR",
+"oB oRwa oRw5 oRw8 owR5B ow8Ra Swo S!ow oTSw owSa pwS S8pw wTSp Sspw ow=R oR",
+"w+ ow=RB ow+Ra ow=R5 >Row =R5owB w>oRa S=w owS+ =TSw =aSw pwS= S>w pw=ST S>",
+"sw YRow YwoR! oRwH YwaoR YRw5 Yw5R8 Yw5RH Yw5Ra YwSo SwoY! oZSw SwaoZ YpSw ",
+"pwYS8 SZpw sYoSw xR xR+ xRH xgR xR5 x>R RHx5 g>xR xS xS+ xZS xgS xpS x>S SZ",
+"xp yxS wR, w&R ,RwB ,Rwa ,Rw. ,Rw8 wR,.B w8R,a wM, wM& ,RwT ,awM ,Rwj ,8wM ",
+"wTR,j wMs, ,Rw* -wR wR*,B wa-R wR*,. w8-R ,R*w.B -wR8a ,Mw* -wM wTR,* wT-R ",
+"wM*,j w8-M ,RTwj* sR-w ,RwG RGw& ,RwH RHw& wRG,. w8R,G wHR,. wH8,R ,GwM GMw",
+"& ,HwM HMw& wMG,j w8M,G wHM,j swR,G wRf, fR-w fwR,H gR-w fwR,. -wfR8 wH,fR.",
+" gw-R8 f,wM fM-w fwT,R gM-w fwM,j -wMf8 fR,wHj gws-R ,Rw4 R4w& wR4,B waR,4 ",
+",Rw5 R5w& w5R,B w5a,R ,4wM 4Mw& wTR,4 wT&R4 ,5wM 5Mw& w5T,R swR,4 wR=, =R-w",
+" =Rw,B -w=Ra =Rw,5 -Rw> w5,=RB w>-Ra =,wM =M-w =RTw, -wT=R =Rjw, >M-w =R,w5",
+"T w>Ms- R4,G w&R4G wHR,4 wH&R4 w5R,G w5&RG wH5,R wH5R& wM4,G wM&4G wHM,4 wH",
+"M4& w5M,G w5MG& wH5,M wH5M& =,fR f-=R =Rf,H g=R-w =Rf,5 w>f-R =R,wH5 gw>-R ",
+"=Rf,M -wMf= =Rf,T gwM-= =Rf,j w>Mf- =R,f5T w>Mg- ,RwP R&wP wRP,B waR,P wRP,",
+". w8R,P ,RPw.B ,R8waP Sw, Sw& wTS, wTS& wjS, w8S& SwT,j s,Sw wRP,* wR-P P*B",
+"wR, -wRaP P*.wR, -wR8P ,RwBP*. w8R-Pa w*S, S-w SwT,* Sa-w Sw*,j S8-w wT*S,j",
+" S-sw wRY, YRw& YwR,H Ywa,R YwR,. Yw8,R wHRY,. Y8RwH& YwS, YwS& S,Zw S&Zw S",
+"Y,wj Sw8Y& ZwS,j sYwS& Yfw,R -RYw fwRY,H gwY-R fwRY,. Y-wR8 ,Hw.YfR Y-Rgw8 ",
+"fwS, SwY- SfZw, S-gw Sfw,j Sf-w8 ZwjSf, gwSs- wRo, oRw& owR,B owa,R owR,5 o",
+"w8,R w5Ro,B oaRw5& owS, owS& Swo,T Swao& S,pw S&pw pwS,T os,Sw ow=,R -Row =",
+"R,owB o-wRa =R5ow, o-w>R =Bow,R5 w>Ro-a w=S, Swo- S=w,T o-TSw pw=S, pwS- S=",
+"Tpw, os-Sw YRo, Yw&oR Y,oRH Yao,R Yw5,R Yw5R& Y5RoH, Y5Roa, Y,So Sw&oY oZ,S",
+"w Zw&So pwYS, pw&SY ZwpS, os,SY x,R x-R ,RxH g-xR ,Rx5 ->xR x,RH5 xg->R xS,",
+" x-S SZx, gSx- Spx, S-xp xZpS, y-xS [w [w! [wD [wa [w. [w8 w.[D [8wD [wM [!",
+"wM Vw Vwa [wj [8wM Vwj swV [w* [w+ [*wD wD[+ w.[* w8[+ [wD*. [w+D8 [*wM wM[",
+"+ Vw* Vw+ [*wj wj[+ wjV* s*Vw [wG wG[! Jw[ wa[J w.[G wG[8 J.[w [wJ8 [GwM [w",
+"GM! VwJ waVJ wG[j [w8GM JjVw sJVw [fw w+[f [fJw g[w f.[w [wf8 Jw[f. w8g[ [w",
+"fM [fw+M Vfw gwV [wfj [f8wM fjVw swg[ [w4 w![4 wD[4 wa[4 [w5 w8[4 [5wD wa[5",
+" wM[4 [w4M! Vw4 waV4 wM[5 [w58M Vw5 s4Vw [= [=+ [=D [=a [=5 [>w [5=D =D[> [",
+"=M [+=M Vw= =aVw [=j >M[= =jVw s=[ wG[4 [w4G! [wJ4 Jw[4a wG[5 [w5G8 [wJ5 Jw",
+"5[8 [w4GM wMG[4! J4Vw VwJ4a [w5GM [4Gw8M J5Vw Vw5sJ [=f [+f= J=[ g[= f5[= f",
+">[= J5[= [>gw =M[f [=f+M VwJ= V=g[ =j[f [>f=M Jj[= s=g[ [wP wP[! wP[D wP[a ",
+"[Pw. wP[8 [wDP. [w8DP Sw[ S![w VwS SaVw wjS[ [wS8 wjSV SsVw wP[* wP[+ [wDP*",
+" [w+DP [wP*. [w+8P [*PwD. [+PwD8 [wS* [wS+ S*Vw S+Vw S[*wj Sw+[8 VwS*j Vw+S",
+"s Yw[ [!Yw [JYw [wYa Y.[w [wY8 Yw[J. Jw8[Y YwS[ Yw[S! ]w ]wa [wYj Sw8[Y ]wj",
+" ]sw Yw[f [wY+ YJf[w Ywg[ Yw[f. [f8Yw [fYJw. g[wY8 [fSw Sw+[f ]fw ]gw [fjSw",
+" Sf8[w fw]j gw]s o[w o![w [woD [woa w5o[ [wo8 o[w5D o[8wD o[Sw Swo[! oVw oa",
+"Vw pw[ w8[p Vwp oVsw [=o o+[= =Do[ =ao[ [5o= o[w> [=o5D [>o=D S=[ S+[= VwS=",
+" S[=a [p= [>S= pwV= VwS> Ywo[ Yw[o! Jwo[ oJ[wa [wY5 o[8Yw oJ[w5 oJ8[w Yw[So",
+" o[YSw! ]ow ow]a Yw[p pw[Y8 ]pw sw]o x[ x[+ xJ[ xg[ x[5 x[> J5x[ g[x> x[S S",
+"[x+ ]x ]xg xp[ S>x[ ]xp ]yx hw[ [w& wD[h cw[ h.[w [wh8 hw[D. w8[c hwM w&hM ",
+"Vwh cwV [whj w8hM hjVw Vwhs [*hw [-w hw[D* [-cw hw[*. w8[- wD*[h. cw[-8 h*w",
+"M hM-w V*hw V-w hwM*j [w-j Vwh*j V-sw hG[w wG[& [Jhw [cJw hw[G. hw8[G Jw[h.",
+" cwJ[8 hGwM hwMG& VhJw cJVw hwMGj hw8GM VwJhj cwVsJ hw[f [f-w Jw[hf i[w [fh",
+"w. [-fw8 [fhJw. [wi8 fwhM [-fwM hfVw iVw [fjhw [-jfw Vfwhj swiV h4[ w&[4 hD",
+"[4 h4[c [wh5 [4h8 hw5[D [wc5 [4hM hwM4& h4Vw c4Vw [4hj hw58M h5Vw h4[s [=h ",
+"[-= [h=D c=[ h5[= w>[- [=h5D [>cw hw=M =M[- h=Vw Vwc= hj[= =j[- Vw=h5 Vwh> ",
+"hG[4 h4[G& [Jh4 cwJ[4 hw5[G h4[G8 Jw5[h cw5[J hwM4G h4GwM& VwJh4 cwVJ4 hw5G",
+"M h4Gw8M Vw5hJ cwVJ5 [fh= f-[= hJ[= i[= [=hf5 [-=f> J=[h5 [>iw [=hfM [-=fM ",
+"J=Vhw Vwi= [=jhf [-=fj J=[hj s=i[ [whP wP[& hw[DP [wcP hw[P. hw8[P hPD[w. c",
+"w[8P Shw S&hw VwSh Scw hjSw h8Sw VwhSj Shsw hw[P* [w-P hPD[w* cw[-P hP*[w. ",
+"[-w8P h*wD[P. [-8cwP S*hw Sw[- VwhS* cwS- Shw*j [-jSw Sh*Vwj V-wSs [hYw [wY",
+"& hYJ[w Yw[c hY[w. hY8[w Jw[hY. Ycw[8 SwhY Sw&hY ]hw ]cw hYjSw Sh8Yw hw]j h",
+"s]w hY[fw Yw[- Jw[hYf Ywi[ [fwhY. Y-[w8 h.Jw[fY i[Yw8 hfSw Shf-w hf]w ]iw S",
+"hfwj [-jYw ]hfwj iw]s oh[ [ho& [hoD o[cw h5o[ h8o[ oh[5D ohc[5 Sho S&oh oVh",
+" ohSc pwSh Soh8 oVhp oVhs [=oh o-[ oh[=D [-oc oh[=5 [>oh [=5ohD cw>o[ Sh= o",
+"hS- V=Sh cwS= S=hp S=h> oVhp= Shs= o[hY oh[Y& hJo[ oJh[c oh[Y5 oh8[Y oJh[5 ",
+"oJh[8 SohY ShoY& ]oh oh]c pw[hY oh8SY hp]o hs]o x[h x[- hJx[ ix[ h5x[ h>x[ ",
+"xJ[h5 x[i> xhS Shx- ]xh ]ix hpx[ h>xS xp]h ix]y wq wq! wqB wqa wq1 wq8 q1wB",
+" q8wa wqM q!wM wqT qTwa lw lw8 lwT lws wq* wq+ wBq* q+wa q*w1 q+w1 wq1*B wq",
+"+1a q*wM q+wM q*wT q+wT lw* lw+ wTl* l+sw wqG w!qG wqH qGwa qGw1 qGw8 qHw1 ",
+"qHw8 qGwM wqGM! qGwT wqHaM lwG w8lG lwH lGsw fq fq+ fqH gqf fq1 fq8 qHf1 g1",
+"fq fqM q+fM fqT gMfq lfq l+fq lHfq glw wq4 w4q! q4wB w4qa 7wq w87q 7Bwq wq7",
+"a q4wM wq4M! w4qT wqT4a lw7 w87l 7Tlw 7slw q=w w+q= =Bwq wq=a q=7w w>q 7wq=",
+"B waq> wq=M q=w+M wq=T q=Tw+ lw= lw> =Tlw swl= w4qG wq4G! w4qH wqH4a wq7G 7",
+"qGw8 wq7H 7wHq8 wq4GM qG4wM! wqH4T wT4qGa lG7w lw7G8 lH7w lws7G fq= q+f= =H",
+"fq g=fq 7fq fq> 7Hfq 7fgq =Mfq fq=+M =Tfq fqTg= 7flw w>lf =Hlw g7lw wqP wPq",
+"! qPwB wPqa q1wP wPq8 wq1PB wq8aP Swq S!wq wTSq wqSa lwS S8lw wTSl Sslw wPq",
+"* wPq+ wqP*B wq+aP wq1P* wq+1P q*Pw1B w1Pqa* wqS* wqS+ Sq*wT Sw+qT l*Sw l+S",
+"w lwST* lwsS+ Yqw q!Yw wHYq wqYa wqY1 wqY8 Yw1qH Yq8wH YqSw SwqY! Zqw waZq ",
+"lYw Y8lw lwZ sYlw fqY Y+fq qHYf gYfq Y1fq Y8fq fqY1H fq8gY Sfq S+fq Zqf Sfg",
+"q Sflw S8fq Zqlf gwlY oqw o!wq oBwq wqoa oq7w wqo8 7woqB 7waoq oqSw Swoq! w",
+"qoT Swaoq rw rw8 rwT rsw owq= wqo+ q=owB q=aow 7o=wq oqw> q=o7wB w>qoa q=Sw",
+" Sw+q= q=TSw S=awq rw= rw> =Trw swr> oqYw Yqow! wqoH Yqaow 7wYq Yq87w 7wHYq",
+" 7Yawq SwoYq YqoSw! oqZw Zqwoa rYw Ywr8 rZw sYrw xq xq+ xqH xqg xq7 xq> 7qx",
+"H gqx7 xqS Sqx+ xZq gqxZ xr xr> xrZ yxr ?qw wq& ?Bwq wq?a w1?q :wq ?qw1B wa",
+":q ?wM w&?M wq?T wa?M lw? lw: ?Tlw s?lw q*?w -qw ?qw*B wa-q ?qw1* -q:w w1*?",
+"qB :wq-a ?*wM ?M-w ?qTw* wq-T ?wl* l-w lw?T* swl- ?qG qGw& wq?H qG?a ?1qG ?",
+"G:q ?qG1H wq:H wM?G ?qGM& wH?M ?qGT& ?qlG lG:w ?wlH lH:w fq? fq- ?Hfq fqg? ",
+"f1?q :fq fq?1H :fgq ?Mfq fM-q ?Tfq ?wgM ?flw :flw fqTl? lwg? ?4wq w4q& ?qw4",
+"B ?qaw4 ?q7w :q7w ?q7wB :wq7a ?4wM ?wM4& ?qTw4 ?wa4M l?7w l:7w 7wTl? lws7? ",
+"?wq= q=-w ?w=qB -qw=a ?q7w= Aqw q=?7wB wqAa ?w=M -qw=M q=T?w -qTw= ?wl= Alw",
+" lw=?T lwAs ?4qG ?qG4& ?qG4H ?qG4a 7q?G :wq7G 7wH?q :wH7q ?qG4M ?G4wM& ?qG4",
+"T ?G4waM lw?7G lw:7G lwH7? :wH7l q=?f f-q= fq?=H fq-g= ?q7f Aqf 7fq?H gqAf ",
+"fq?=M fq-=M fqT?= fq-=T lf?7w lfAq fqT7? glAw wq?P wPq& ?qwPB ?qawP ?qw1P w",
+"q:P wq1?PB :wqaP S?w S&?w ?TSw ?aSw S?lw S:w lw?ST S?sw ?qwP* wq-P wq*?PB -",
+"qwaP wq1?P* :wq-P ?Bwq1P* -qa:wP S*?w Sw-q S?wT* -qTSw lw?S* S-lw S?Tlw* l-",
+"wSs ?Yq Y&?q ?HYq ?aYq Y1?q Yq:w ?Yq1H :wHYq S?Y S&?Y Zq?Y ?aSY lY? ?YS: ?Z",
+"lY s?lY fq?Y Y-q fq?YH ?Ygq fq?Y1 fqY: ?Y1fqH g?Y:q S?f S-?Y Sf?Z S?gw S?lf",
+" ?Yl- lY?Zf g?lY oq?w wqo& o?qwB o?awq ?q7ow oq:w o?q7wB :woqa o?Sw Sw&o? o",
+"?TSw S?aow r?w r:w ?wrT s?rw ?w=oq oq-w q=wo?B o-qwa o?q7w= oqAw =B7wo?q Ao",
+"awq ?wS= o-qSw S?=wT o-qwT ?wr= Arw r=T?w rsAw o?Yq Yq&o? o?HYq ?Yaoq ?q7Y ",
+":woYq ?Y7qH :woqH So?Y S?Yo& S?ZoY S?Yoa r?Y ?Yr: ?ZrY s?rY x?q xq- ?qxH g?",
+"xq ?qx7 Axq x?q7H xqAg x?S S?x- S?xZ g?xS xr? Axr r?xZ yxAr [qw [!wq wqD wa",
+"[q [w1 w8[q wD[1 wa[1 wM[q [qwM! Vwq waVq lw[ w8[l lwV Vwsq [q* w+[q [*qD q",
+"+wD [*w1 [1w+ [q*1D [q8D* [Mq* [q+wM [qV* wqV+ [ql* [wl+ l*Vw l+Vw qG[w [qw",
+"G! Jqw waJq wG[1 [q8wG [wJ1 wqJ8 [qwGM wMG[q! VwJq JqVwa [wlG lw[G8 lwJ Jqs",
+"w fq[ [+fq Jqf Jqgw [qf1 [qf8 J1fq J8fq [qfM fq[+M fqV Vfgq [lfq fq8[l Jqlf",
+" g[lw [4wq [qw4! w4qD [qaw4 7[w w87[ [w7D [w7a [qw4M [4Mwq! wqV4 Vwq4a 7[lw",
+" lw7[8 7Vw 7Vsw [=q [+q= [q=D [q=a 7[= w>7[ =D7[ =a7[ [q=M [=q+M Vq[= Vw=q+",
+" l=[ [>lw Vwl= 7[s= [qw4G [4Gwq! wqJ4 Jqw4a [w7G 7[wG8 7wJq Jq87w [4GwqM [!",
+"wq4GM JqVw4 Vw4Jqa lw7[G 7[Glw8 7Jlw lwJ7s [=fq fq[=+ Jq= J=gq 7[f [>7f Jq7",
+"f 7[gw fq[=M [=+fqM V=Jq Jq=gV 7[lf fq>[l Jql= g[l= wP[q [qwP! wPqD [qawP w",
+"P[1 [q8wP [w1DP [w1aP [qSw Sq[w! VqSw VwqSa [lSw Sw8[l SlVw lwVSs [Pq* [q+w",
+"P [q*DP [qaP* [q*1P [q8P* w1PqD* w1P[a* [qS* Sw+[q VwqS* Vw+Sq lw[S* lw+S[ ",
+"lwVS* Vw+Sl [qYw Yw[q! JwYq JqYwa [wY1 Yq8[w JqYw1 Jq8Yw Sq[Yw Yq[Sw! ]qw w",
+"q]a Yw[l lYw[8 ]lw lw]s [fYq fq[Y+ YJfq JqfgY fq[Y1 fq8[Y JqfY1 JqfY8 Sq[f ",
+"Sfq[+ ]qf gq]f lYf[q fq8S[ lf]q gl]w [qow o[qw! wqoD o[awq o[7w o[87w 7wDo[",
+" 7[aow Sq[ow o[qSw! oqVw oVwqa r[w [wr8 rVw swrV q=o[ [=oq+ [=oqD [=aoq 7o[",
+"= [>o7w 7[=oD w>qoD Sq[= S=[q+ oVwq= oVwq+ r[= [>rw Vwr= s=r[ Yw[oq o[wYq! ",
+"oqJw oJqwa Yw7[ 7[Yw8 oJq7w oJqw8 YqoSw[ Sqo[Yw! oq]w ]oqwa Ywr[ r[Yw8 ]rw ",
+"rs]w xq[ [qx+ xJq gqxJ x7[ 7[x> 7Jxq g7x[ Sqx[ xq[S+ ]xq xq]g xr[ r[x> ]xr ",
+"yx]r z z& zD zc z1 z: z1D z:c zM zM& zV zVc zl zl: zlV uz z* z- z*D zc- z*1",
+" z:- 1Dz* :cz- z*M z-M zV* zV- zl* zl- l*zV uz- zG zG& zJ zJc z1G z:G zJ1 z",
+"J: zGM GMz& zJV cJzV zlG l:zG zlJ uzJ zf zf- zJf iz zf1 z:f Jfz1 iz: zfM f-",
+"zM zVf izV zlf lfz: lfzJ uzi z4 z4& z4D zc4 z7 z7: z7D z7c z4M 4Mz& zV4 c4z",
+"V zl7 l:z7 z7V uz7 z= z-= z=D zc= z7= Az =Dz7 Azc z=M =Mz- zV= c=zV zl= Azl",
+" l=zV Azu z4G 4Gz& zJ4 cJz4 z7G 7:zG zJ7 7Jz: 4GzM z4GM& J4zV zJVc4 lGz7 zl",
+"7:G 7Jzl zJu7 zf= f-z= zJ= iz= z7f Azf 7Jzf Azi =Mzf zf-=M J=zV zVi= lfz7 z",
+"lAf l=zJ uzAi zP zP& zDP zcP z1P z:P 1DzP :czP zS zS& zVS zcS zlS z:S SlzV ",
+"uzS z*P z-P DPz* c-zP 1Pz* :-zP z*1DP z:c-P zS* z-S SVz* Scz- l*zS l-zS zlV",
+"S* z-uS zY zY& zJY zYc zY1 zY: YJz1 Y:zJ zYS SYz& ]z ]zc zlY lYz: ]zl uz] z",
+"Yf zY- YJzf izY Yfz1 Y:zf zJYf1 zYi: zfS Sfz- ]zf ]zi lYzf lYz- zl]f ]zui z",
+"o zo& zoD zoc zo7 zo: 7ozD 7czo zoS Soz& zoV Sczo zr zr: zrV uzr zo= zo- =D",
+"zo ocz- 7oz= Azo zo7=D zoAc z=S S-zo S=zV Scz= zr= Azr rVz= uzAr zoY Y&zo z",
+"oJ Yczo z7Y Y:zo 7Jzo Ycz7 SozY zoYS& ]zo zo]c zrY rYz: ]zr ]zur zx zx- zxJ",
+" izx zx7 Azx xJz7 izAx zxS x-zS ]zx iz]x zxr zxAr zx]r | ",
+NULL
+};
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Prepares the data for MSOPs of 4-variable functions.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Cnf_ReadMsops( char ** ppSopSizes, char *** ppSops )
+{
+ unsigned uMasks[4][2] = {
+ { 0x5555, 0xAAAA },
+ { 0x3333, 0xCCCC },
+ { 0x0F0F, 0xF0F0 },
+ { 0x00FF, 0xFF00 }
+ };
+ char Map[256], * pPrev, * pMemory;
+ char * pSopSizes, ** pSops;
+ int i, k, b, Size;
+
+ // map chars into their numbers
+ for ( i = 0; i < 256; i++ )
+ Map[i] = -1;
+ for ( i = 0; i < 81; i++ )
+ Map[(int)s_Data3[i]] = i;
+
+ // count the number of strings
+ for ( Size = 0; s_Data4[Size] && Size < 100000; Size++ );
+ assert( Size < 100000 );
+
+ // allocate memory
+ pMemory = ALLOC( char, Size * 75 );
+ // copy the array into memory
+ for ( i = 0; i < Size; i++ )
+ for ( k = 0; k < 75; k++ )
+ if ( s_Data4[i][k] == ' ' )
+ pMemory[i*75+k] = -1;
+ else
+ pMemory[i*75+k] = Map[(int)s_Data4[i][k]];
+
+ // set pointers and compute SOP sizes
+ pSopSizes = ALLOC( char, 65536 );
+ pSops = ALLOC( char *, 65536 );
+ pSopSizes[0] = 0;
+ pSops[0] = NULL;
+ pPrev = pMemory;
+ for ( k = 0, i = 1; i < 65536; k++ )
+ if ( pMemory[k] == -1 )
+ {
+ pSopSizes[i] = pMemory + k - pPrev;
+ pSops[i++] = pPrev;
+ pPrev = pMemory + k + 1;
+ }
+ *ppSopSizes = pSopSizes;
+ *ppSops = pSops;
+
+ // verify the results - derive truth table from SOP
+ for ( i = 1; i < 65536; i++ )
+ {
+ int uTruth = 0, uCube, Lit;
+ for ( k = 0; k < pSopSizes[i]; k++ )
+ {
+ uCube = 0xFFFF;
+ Lit = pSops[i][k];
+ for ( b = 3; b >= 0; b-- )
+ {
+ if ( Lit % 3 == 0 )
+ uCube &= uMasks[b][0];
+ else if ( Lit % 3 == 1 )
+ uCube &= uMasks[b][1];
+ Lit = Lit / 3;
+ }
+ uTruth |= uCube;
+ }
+ assert( uTruth == i );
+ }
+}
+
+#if 0
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Aig_ManDeriveCnfTest()
+{
+ int i, k, Lit;
+ printf( "\n" );
+ for ( i = 80; i >= 0; i-- )
+ {
+ Lit = i;
+ for ( k = 0; k < 4; k++ )
+ {
+ if ( Lit % 3 == 0 )
+ printf( "%c", 'A' + k );
+ else if ( Lit % 3 == 1 )
+ printf( "%c", 'a' + k );
+ Lit = Lit / 3;
+ }
+ printf( "\n" );
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Aig_ManDeriveCnfTest2()
+{
+ char s_Data3[81] = "!#&()*+,-.0123456789:;<=>?ABCDEFGHIJKLMNOPQRSTUVWXYZ[]abcdefghijklmnopqrstuvwxyz|";
+
+ unsigned uMasks[4][2] = {
+ { 0x5555, 0xAAAA },
+ { 0x3333, 0xCCCC },
+ { 0x0F0F, 0xF0F0 },
+ { 0x00FF, 0xFF00 }
+ };
+ char Buffer[100], * pCur;
+ FILE * pFile;
+ int CountCur, Counter = 0, nLines = 0;
+ int pLines[1<<16] = {0};
+ int pNums[1<<16] = {0};
+ unsigned uTruth, uTruth2, uCube, cCube;
+ char * pSops[1<<16] = {0};
+ char Sop[10];
+ char Cube[4];
+ int i, k;
+
+ pFile = fopen( "cands2.txt", "r" );
+ while ( fgets( Buffer, 100, pFile ) )
+ {
+ if ( Buffer[0] == '0' )
+ Extra_ReadHexadecimal( &uTruth2, Buffer+2, 4 );
+ else
+ uTruth2 = 0xFFFFFF;
+
+ // skip all chars till a-d or A-D
+ if ( Buffer[0] == '0' )
+ for ( pCur = Buffer; *pCur != '\n'; pCur++ )
+ {
+// if ( *pCur >= 'a' && *pCur <= 'd' || *pCur >= 'A' && *pCur <= 'D' )
+ if ( *pCur == ':' )
+ {
+ pCur++;
+ break;
+ }
+ }
+ else
+ pCur = Buffer;
+
+
+ uTruth = 0;
+ CountCur = 0;
+ uCube = 0xFFFF;
+ for ( i = 0; i < 4; i++ )
+ Cube[i] = 2;
+
+ for ( ; *pCur; pCur++ )
+ {
+ if ( *pCur == '+' || *pCur == '\n' )
+ {
+ uTruth |= uCube;
+ uCube = 0xFFFF;
+
+ // get the cube
+ cCube = 0;
+ for ( i = 0; i < 4; i++ )
+ cCube = 3 * cCube + Cube[i];
+ for ( i = 0; i < 4; i++ )
+ Cube[i] = 2;
+
+ assert( cCube >= 0 && cCube < 81 );
+ Sop[CountCur] = cCube;
+ CountCur++;
+ if ( *pCur == '\n' )
+ {
+ Sop[CountCur] = 0;
+ break;
+ }
+ }
+ else if ( *pCur >= 'a' && *pCur <= 'd' )
+ {
+ uCube &= uMasks[*pCur-'a'][1];
+ Cube[*pCur-'a'] = 1;
+ }
+ else if ( *pCur >= 'A' && *pCur <= 'D' )
+ {
+ uCube &= uMasks[*pCur-'A'][0];
+ Cube[*pCur-'A'] = 0;
+ }
+ }
+ assert( *pCur == '\n' );
+ assert( uTruth2 == 0xFFFFFF || uTruth2 == uTruth );
+
+ Counter += CountCur;
+ pNums[uTruth] = CountCur;
+ pSops[uTruth] = ALLOC( char, CountCur );
+ memcpy( pSops[uTruth], Sop, CountCur );
+ pLines[nLines++] = Counter;
+ }
+ fclose( pFile );
+
+ printf( "Lines = %d. Counter = %d.\n", nLines, Counter );
+
+/*
+ // write the number of cubes
+ for ( i = 0; i < 65536; i++ )
+ printf( "%d,%d ", pNums[i], pNums[i] + pNums[0xffff & ~i] );
+ printf( "\n" );
+*/
+
+ // write the number of cubes
+ Counter = 0;
+ for ( i = 1; i < 65536; i++ )
+ {
+ CountCur = pNums[i];
+ assert( CountCur > 0 );
+ for ( k = 0; k <= CountCur; k++ )
+ {
+ if ( k < CountCur )
+ {
+ assert( pSops[i][k] >= 0 && pSops[i][k] < 81 );
+ printf( "%c", s_Data3[pSops[i][k]] );
+ }
+ else
+ printf( " " );
+ if ( ++Counter == 75 )
+ {
+ printf( "\",\n\"" );
+ Counter = 0;
+ }
+ }
+ }
+ printf( "\n" );
+
+ return 1;
+}
+
+#endif
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/cnf/cnfMan.c b/src/aig/cnf/cnfMan.c
new file mode 100644
index 00000000..1edc012a
--- /dev/null
+++ b/src/aig/cnf/cnfMan.c
@@ -0,0 +1,202 @@
+/**CFile****************************************************************
+
+ FileName [cnfMan.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [AIG-to-CNF conversion.]
+
+ Synopsis []
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - April 28, 2007.]
+
+ Revision [$Id: cnfMan.c,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "cnf.h"
+#include "satSolver.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+static inline int Cnf_Lit2Var( int Lit ) { return (Lit & 1)? -(Lit >> 1)-1 : (Lit >> 1)+1; }
+static inline int Cnf_Lit2Var2( int Lit ) { return (Lit & 1)? -(Lit >> 1) : (Lit >> 1); }
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Starts the fraiging manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Cnf_Man_t * Cnf_ManStart()
+{
+ Cnf_Man_t * p;
+ int i;
+ // allocate the manager
+ p = ALLOC( Cnf_Man_t, 1 );
+ memset( p, 0, sizeof(Cnf_Man_t) );
+ // derive internal data structures
+ Cnf_ReadMsops( &p->pSopSizes, &p->pSops );
+ // allocate memory manager for cuts
+ p->pMemCuts = Aig_MmFlexStart();
+ p->nMergeLimit = 10;
+ // allocate temporary truth tables
+ p->pTruths[0] = ALLOC( unsigned, 4 * Aig_TruthWordNum(p->nMergeLimit) );
+ for ( i = 1; i < 4; i++ )
+ p->pTruths[i] = p->pTruths[i-1] + Aig_TruthWordNum(p->nMergeLimit);
+ p->vMemory = Vec_IntAlloc( 1 << 18 );
+ return p;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Stops the fraiging manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Cnf_ManStop( Cnf_Man_t * p )
+{
+ Vec_IntFree( p->vMemory );
+ free( p->pTruths[0] );
+ Aig_MmFlexStop( p->pMemCuts, 0 );
+ free( p->pSopSizes );
+ free( p->pSops[1] );
+ free( p->pSops );
+ free( p );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns the array of CI IDs.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Vec_Int_t * Cnf_DataCollectPiSatNums( Cnf_Dat_t * pCnf, Aig_Man_t * p )
+{
+ Vec_Int_t * vCiIds;
+ Aig_Obj_t * pObj;
+ int i;
+ vCiIds = Vec_IntAlloc( Aig_ManPiNum(p) );
+ Aig_ManForEachPi( p, pObj, i )
+ Vec_IntPush( vCiIds, pCnf->pVarNums[pObj->Id] );
+ return vCiIds;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Cnf_DataFree( Cnf_Dat_t * p )
+{
+ if ( p == NULL )
+ return;
+ free( p->pClauses[0] );
+ free( p->pClauses );
+ free( p->pVarNums );
+ free( p );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Writes CNF into a file.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Cnf_DataWriteIntoFile( Cnf_Dat_t * p, char * pFileName, int fReadable )
+{
+ FILE * pFile;
+ int * pLit, * pStop, i;
+ pFile = fopen( pFileName, "w" );
+ if ( pFile == NULL )
+ {
+ printf( "Cnf_WriteIntoFile(): Output file cannot be opened.\n" );
+ return;
+ }
+ fprintf( pFile, "c Result of efficient AIG-to-CNF conversion using package CNF\n" );
+ fprintf( pFile, "p %d %d\n", p->nVars, p->nClauses );
+ for ( i = 0; i < p->nClauses; i++ )
+ {
+ for ( pLit = p->pClauses[i], pStop = p->pClauses[i+1]; pLit < pStop; pLit++ )
+ fprintf( pFile, "%d ", fReadable? Cnf_Lit2Var2(*pLit) : Cnf_Lit2Var(*pLit) );
+ fprintf( pFile, "0\n" );
+ }
+ fprintf( pFile, "\n" );
+ fclose( pFile );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Writes CNF into a file.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void * Cnf_DataWriteIntoSolver( Cnf_Dat_t * p )
+{
+ sat_solver * pSat;
+ int i, status;
+ pSat = sat_solver_new();
+ sat_solver_setnvars( pSat, p->nVars );
+ for ( i = 0; i < p->nClauses; i++ )
+ {
+ if ( !sat_solver_addclause( pSat, p->pClauses[i], p->pClauses[i+1] ) )
+ {
+ sat_solver_delete( pSat );
+ return NULL;
+ }
+ }
+ status = sat_solver_simplify(pSat);
+ if ( status == 0 )
+ {
+ sat_solver_delete( pSat );
+ return NULL;
+ }
+ return pSat;
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/cnf/cnfMap.c b/src/aig/cnf/cnfMap.c
new file mode 100644
index 00000000..d966df15
--- /dev/null
+++ b/src/aig/cnf/cnfMap.c
@@ -0,0 +1,356 @@
+/**CFile****************************************************************
+
+ FileName [cnfMap.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [AIG-to-CNF conversion.]
+
+ Synopsis []
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - April 28, 2007.]
+
+ Revision [$Id: cnfMap.c,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "cnf.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Computes area flow of the cut.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Cnf_CutAssignAreaFlow( Cnf_Man_t * p, Dar_Cut_t * pCut, int * pAreaFlows )
+{
+ Aig_Obj_t * pLeaf;
+ int i;
+ pCut->Value = 0;
+ pCut->uSign = 100 * Cnf_CutSopCost( p, pCut );
+ Dar_CutForEachLeaf( p->pManAig, pCut, pLeaf, i )
+ {
+ pCut->Value += pLeaf->nRefs;
+ if ( !Aig_ObjIsNode(pLeaf) )
+ continue;
+ assert( pLeaf->nRefs > 0 );
+ pCut->uSign += pAreaFlows[pLeaf->Id] / (pLeaf->nRefs? pLeaf->nRefs : 1);
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes area flow of the supergate.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Cnf_CutSuperAreaFlow( Vec_Ptr_t * vSuper, int * pAreaFlows )
+{
+ Aig_Obj_t * pLeaf;
+ int i, nAreaFlow;
+ nAreaFlow = 100 * (Vec_PtrSize(vSuper) + 1);
+ Vec_PtrForEachEntry( vSuper, pLeaf, i )
+ {
+ pLeaf = Aig_Regular(pLeaf);
+ if ( !Aig_ObjIsNode(pLeaf) )
+ continue;
+ assert( pLeaf->nRefs > 0 );
+ nAreaFlow += pAreaFlows[pLeaf->Id] / (pLeaf->nRefs? pLeaf->nRefs : 1);
+ }
+ return nAreaFlow;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Cnf_DeriveMapping( Cnf_Man_t * p )
+{
+ Vec_Ptr_t * vSuper;
+ Aig_Obj_t * pObj;
+ Dar_Cut_t * pCut, * pCutBest;
+ int i, k, AreaFlow, * pAreaFlows;
+ // allocate area flows
+ pAreaFlows = ALLOC( int, Aig_ManObjNumMax(p->pManAig) );
+ memset( pAreaFlows, 0, sizeof(int) * Aig_ManObjNumMax(p->pManAig) );
+ // visit the nodes in the topological order and update their best cuts
+ vSuper = Vec_PtrAlloc( 100 );
+ Aig_ManForEachNode( p->pManAig, pObj, i )
+ {
+ // go through the cuts
+ pCutBest = NULL;
+ Dar_ObjForEachCut( pObj, pCut, k )
+ {
+ pCut->fBest = 0;
+ if ( k == 0 )
+ continue;
+ Cnf_CutAssignAreaFlow( p, pCut, pAreaFlows );
+ if ( pCutBest == NULL || pCutBest->uSign > pCut->uSign ||
+ (pCutBest->uSign == pCut->uSign && pCutBest->Value < pCut->Value) )
+ pCutBest = pCut;
+ }
+ // check the big cut
+// Aig_ObjCollectSuper( pObj, vSuper );
+ // get the area flow of this cut
+// AreaFlow = Cnf_CutSuperAreaFlow( vSuper, pAreaFlows );
+ AreaFlow = AIG_INFINITY;
+ if ( AreaFlow >= (int)pCutBest->uSign )
+ {
+ pAreaFlows[pObj->Id] = pCutBest->uSign;
+ pCutBest->fBest = 1;
+ }
+ else
+ {
+ pAreaFlows[pObj->Id] = AreaFlow;
+ pObj->fMarkB = 1; // mark the special node
+ }
+ }
+ Vec_PtrFree( vSuper );
+ free( pAreaFlows );
+
+/*
+ // compute the area of mapping
+ AreaFlow = 0;
+ Aig_ManForEachPo( p->pManAig, pObj, i )
+ AreaFlow += Dar_ObjBestCut(Aig_ObjFanin0(pObj))->uSign / 100 / Aig_ObjFanin0(pObj)->nRefs;
+ printf( "Area of the network = %d.\n", AreaFlow );
+*/
+}
+
+
+
+#if 0
+
+/**Function*************************************************************
+
+ Synopsis [Computes area of the first level.]
+
+ Description [The cut need to be derefed.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_CutDeref( Aig_Man_t * p, Dar_Cut_t * pCut )
+{
+ Aig_Obj_t * pLeaf;
+ int i;
+ Dar_CutForEachLeaf( p, pCut, pLeaf, i )
+ {
+ assert( pLeaf->nRefs > 0 );
+ if ( --pLeaf->nRefs > 0 || !Aig_ObjIsAnd(pLeaf) )
+ continue;
+ Aig_CutDeref( p, Aig_ObjBestCut(pLeaf) );
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes area of the first level.]
+
+ Description [The cut need to be derefed.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Aig_CutRef( Aig_Man_t * p, Dar_Cut_t * pCut )
+{
+ Aig_Obj_t * pLeaf;
+ int i, Area = pCut->Value;
+ Dar_CutForEachLeaf( p, pCut, pLeaf, i )
+ {
+ assert( pLeaf->nRefs >= 0 );
+ if ( pLeaf->nRefs++ > 0 || !Aig_ObjIsAnd(pLeaf) )
+ continue;
+ Area += Aig_CutRef( p, Aig_ObjBestCut(pLeaf) );
+ }
+ return Area;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes exact area of the cut.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Cnf_CutArea( Aig_Man_t * p, Dar_Cut_t * pCut )
+{
+ int Area;
+ Area = Aig_CutRef( p, pCut );
+ Aig_CutDeref( p, pCut );
+ return Area;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns 1 if the second cut is better.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int Cnf_CutCompare( Dar_Cut_t * pC0, Dar_Cut_t * pC1 )
+{
+ if ( pC0->Area < pC1->Area - 0.0001 )
+ return -1;
+ if ( pC0->Area > pC1->Area + 0.0001 ) // smaller area flow is better
+ return 1;
+// if ( pC0->NoRefs < pC1->NoRefs )
+// return -1;
+// if ( pC0->NoRefs > pC1->NoRefs ) // fewer non-referenced fanins is better
+// return 1;
+// if ( pC0->FanRefs / pC0->nLeaves > pC1->FanRefs / pC1->nLeaves )
+// return -1;
+// if ( pC0->FanRefs / pC0->nLeaves < pC1->FanRefs / pC1->nLeaves )
+// return 1; // larger average fanin ref-counter is better
+// return 0;
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns the cut with the smallest area flow.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Dar_Cut_t * Cnf_ObjFindBestCut( Aig_Obj_t * pObj )
+{
+ Dar_Cut_t * pCut, * pCutBest;
+ int i;
+ pCutBest = NULL;
+ Dar_ObjForEachCut( pObj, pCut, i )
+ if ( pCutBest == NULL || Cnf_CutCompare(pCutBest, pCut) == 1 )
+ pCutBest = pCut;
+ return pCutBest;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes area flow of the cut.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Cnf_CutAssignArea( Cnf_Man_t * p, Dar_Cut_t * pCut )
+{
+ Aig_Obj_t * pLeaf;
+ int i;
+ pCut->Area = (float)pCut->Cost;
+ pCut->NoRefs = 0;
+ pCut->FanRefs = 0;
+ Dar_CutForEachLeaf( p->pManAig, pCut, pLeaf, i )
+ {
+ if ( !Aig_ObjIsNode(pLeaf) )
+ continue;
+ if ( pLeaf->nRefs == 0 )
+ {
+ pCut->Area += Aig_ObjBestCut(pLeaf)->Cost;
+ pCut->NoRefs++;
+ }
+ else
+ {
+ if ( pCut->FanRefs + pLeaf->nRefs > 15 )
+ pCut->FanRefs = 15;
+ else
+ pCut->FanRefs += pLeaf->nRefs;
+ }
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs one round of "area recovery" using exact local area.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Cnf_ManMapForCnf( Cnf_Man_t * p )
+{
+ Aig_Obj_t * pObj;
+ Dar_Cut_t * pCut, * pCutBest;
+ int i, k;
+ // visit the nodes in the topological order and update their best cuts
+ Aig_ManForEachNode( p->pManAig, pObj, i )
+ {
+ // find the old best cut
+ pCutBest = Aig_ObjBestCut(pObj);
+ Dar_ObjClearBestCut(pCutBest);
+ // if the node is used, dereference its cut
+ if ( pObj->nRefs )
+ Aig_CutDeref( p->pManAig, pCutBest );
+
+ // evaluate the cuts of this node
+ Dar_ObjForEachCut( pObj, pCut, k )
+// Cnf_CutAssignAreaFlow( p, pCut );
+ pCut->Area = (float)Cnf_CutArea( p->pManAig, pCut );
+
+ // find the new best cut
+ pCutBest = Cnf_ObjFindBestCut(pObj);
+ Dar_ObjSetBestCut( pCutBest );
+ // if the node is used, reference its cut
+ if ( pObj->nRefs )
+ Aig_CutRef( p->pManAig, pCutBest );
+ }
+ return 1;
+}
+
+#endif
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/cnf/cnfPost.c b/src/aig/cnf/cnfPost.c
new file mode 100644
index 00000000..988275b2
--- /dev/null
+++ b/src/aig/cnf/cnfPost.c
@@ -0,0 +1,233 @@
+/**CFile****************************************************************
+
+ FileName [cnfPost.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [AIG-to-CNF conversion.]
+
+ Synopsis []
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - April 28, 2007.]
+
+ Revision [$Id: cnfPost.c,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "cnf.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Cnf_ManPostprocess_old( Cnf_Man_t * p )
+{
+// extern int Aig_ManLargeCutEval( Aig_Man_t * p, Aig_Obj_t * pRoot, Dar_Cut_t * pCutR, Dar_Cut_t * pCutL, int Leaf );
+ int nNew, Gain, nGain = 0, nVars = 0;
+
+ Aig_Obj_t * pObj, * pFan;
+ Dar_Cut_t * pCutBest, * pCut;
+ int i, k;//, a, b, Counter;
+ Aig_ManForEachObj( p->pManAig, pObj, i )
+ {
+ if ( !Aig_ObjIsNode(pObj) )
+ continue;
+ if ( pObj->nRefs == 0 )
+ continue;
+// pCutBest = Aig_ObjBestCut(pObj);
+ pCutBest = NULL;
+
+ Dar_CutForEachLeaf( p->pManAig, pCutBest, pFan, k )
+ {
+ if ( !Aig_ObjIsNode(pFan) )
+ continue;
+ assert( pFan->nRefs != 0 );
+ if ( pFan->nRefs != 1 )
+ continue;
+// pCut = Aig_ObjBestCut(pFan);
+ pCut = NULL;
+/*
+ // find how many common variable they have
+ Counter = 0;
+ for ( a = 0; a < (int)pCut->nLeaves; a++ )
+ {
+ for ( b = 0; b < (int)pCutBest->nLeaves; b++ )
+ if ( pCut->pLeaves[a] == pCutBest->pLeaves[b] )
+ break;
+ if ( b == (int)pCutBest->nLeaves )
+ continue;
+ Counter++;
+ }
+ printf( "%d ", Counter );
+*/
+ // find the new truth table after collapsing these two cuts
+
+
+// nNew = Aig_ManLargeCutEval( p->pManAig, pObj, pCutBest, pCut, pFan->Id );
+ nNew = 0;
+
+
+// printf( "%d+%d=%d:%d(%d) ", pCutBest->Cost, pCut->Cost,
+// pCutBest->Cost+pCut->Cost, nNew, pCutBest->Cost+pCut->Cost-nNew );
+
+ Gain = pCutBest->Value + pCut->Value - nNew;
+ if ( Gain > 0 )
+ {
+ nGain += Gain;
+ nVars++;
+ }
+ }
+ }
+ printf( "Total gain = %d. Vars = %d.\n", nGain, nVars );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Transfers cuts of the mapped nodes into internal representation.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Cnf_ManTransferCuts( Cnf_Man_t * p )
+{
+ Aig_Obj_t * pObj;
+ int i;
+ Aig_MmFlexRestart( p->pMemCuts );
+ Aig_ManForEachObj( p->pManAig, pObj, i )
+ {
+ if ( Aig_ObjIsNode(pObj) && pObj->nRefs > 0 )
+ pObj->pData = Cnf_CutCreate( p, pObj );
+ else
+ pObj->pData = NULL;
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Transfers cuts of the mapped nodes into internal representation.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Cnf_ManFreeCuts( Cnf_Man_t * p )
+{
+ Aig_Obj_t * pObj;
+ int i;
+ Aig_ManForEachObj( p->pManAig, pObj, i )
+ if ( pObj->pData )
+ {
+ Cnf_CutFree( pObj->pData );
+ pObj->pData = NULL;
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Cnf_ManPostprocess( Cnf_Man_t * p )
+{
+ Cnf_Cut_t * pCut, * pCutFan, * pCutRes;
+ Aig_Obj_t * pObj, * pFan;
+ int Order[16], Costs[16];
+ int i, k, fChanges;
+ Aig_ManForEachNode( p->pManAig, pObj, i )
+ {
+ if ( pObj->nRefs == 0 )
+ continue;
+ pCut = Cnf_ObjBestCut(pObj);
+
+ // sort fanins according to their size
+ Cnf_CutForEachLeaf( p->pManAig, pCut, pFan, k )
+ {
+ Order[k] = k;
+ Costs[k] = Aig_ObjIsNode(pFan)? Cnf_ObjBestCut(pFan)->Cost : 0;
+ }
+ // sort the cuts by Weight
+ do {
+ int Temp;
+ fChanges = 0;
+ for ( k = 0; k < pCut->nFanins - 1; k++ )
+ {
+ if ( Costs[Order[k]] <= Costs[Order[k+1]] )
+ continue;
+ Temp = Order[k];
+ Order[k] = Order[k+1];
+ Order[k+1] = Temp;
+ fChanges = 1;
+ }
+ } while ( fChanges );
+
+
+// Cnf_CutForEachLeaf( p->pManAig, pCut, pFan, k )
+ for ( k = 0; (k < (int)(pCut)->nFanins) && ((pFan) = Aig_ManObj(p->pManAig, (pCut)->pFanins[Order[k]])); k++ )
+ {
+ if ( !Aig_ObjIsNode(pFan) )
+ continue;
+ assert( pFan->nRefs != 0 );
+ if ( pFan->nRefs != 1 )
+ continue;
+ pCutFan = Cnf_ObjBestCut(pFan);
+ // try composing these two cuts
+// Cnf_CutPrint( pCut );
+ pCutRes = Cnf_CutCompose( p, pCut, pCutFan, pFan->Id );
+// Cnf_CutPrint( pCut );
+// printf( "\n" );
+ // check if the cost if reduced
+ if ( pCutRes == NULL || pCutRes->Cost == 127 || pCutRes->Cost > pCut->Cost + pCutFan->Cost )
+ {
+ if ( pCutRes )
+ Cnf_CutFree( pCutRes );
+ continue;
+ }
+ // update the cut
+ Cnf_ObjSetBestCut( pObj, pCutRes );
+ Cnf_ObjSetBestCut( pFan, NULL );
+ Cnf_CutUpdateRefs( p, pCut, pCutFan, pCutRes );
+ assert( pFan->nRefs == 0 );
+ Cnf_CutFree( pCut );
+ Cnf_CutFree( pCutFan );
+ break;
+ }
+ }
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/cnf/cnfUtil.c b/src/aig/cnf/cnfUtil.c
new file mode 100644
index 00000000..cd47cb58
--- /dev/null
+++ b/src/aig/cnf/cnfUtil.c
@@ -0,0 +1,188 @@
+/**CFile****************************************************************
+
+ FileName [cnfUtil.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [AIG-to-CNF conversion.]
+
+ Synopsis []
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - April 28, 2007.]
+
+ Revision [$Id: cnfUtil.c,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "cnf.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Computes area, references, and nodes used in the mapping.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Aig_ManScanMapping_rec( Cnf_Man_t * p, Aig_Obj_t * pObj, Vec_Ptr_t * vMapped )
+{
+ Aig_Obj_t * pLeaf;
+ Dar_Cut_t * pCutBest;
+ int aArea, i;
+ if ( pObj->nRefs++ || Aig_ObjIsPi(pObj) || Aig_ObjIsConst1(pObj) )
+ return 0;
+ assert( Aig_ObjIsAnd(pObj) );
+ // collect the node first to derive pre-order
+ if ( vMapped )
+ Vec_PtrPush( vMapped, pObj );
+ // visit the transitive fanin of the selected cut
+ if ( pObj->fMarkB )
+ {
+ Vec_Ptr_t * vSuper = Vec_PtrAlloc( 100 );
+ Aig_ObjCollectSuper( pObj, vSuper );
+ aArea = Vec_PtrSize(vSuper) + 1;
+ Vec_PtrForEachEntry( vSuper, pLeaf, i )
+ aArea += Aig_ManScanMapping_rec( p, Aig_Regular(pLeaf), vMapped );
+ Vec_PtrFree( vSuper );
+ ////////////////////////////
+ pObj->fMarkB = 1;
+ }
+ else
+ {
+ pCutBest = Dar_ObjBestCut( pObj );
+ aArea = Cnf_CutSopCost( p, pCutBest );
+ Dar_CutForEachLeaf( p->pManAig, pCutBest, pLeaf, i )
+ aArea += Aig_ManScanMapping_rec( p, pLeaf, vMapped );
+ }
+ return aArea;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes area, references, and nodes used in the mapping.]
+
+ Description [Collects the nodes in reverse topological order.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Vec_Ptr_t * Aig_ManScanMapping( Cnf_Man_t * p, int fCollect )
+{
+ Vec_Ptr_t * vMapped = NULL;
+ Aig_Obj_t * pObj;
+ int i;
+ // clean all references
+ Aig_ManForEachObj( p->pManAig, pObj, i )
+ pObj->nRefs = 0;
+ // allocate the array
+ if ( fCollect )
+ vMapped = Vec_PtrAlloc( 1000 );
+ // collect nodes reachable from POs in the DFS order through the best cuts
+ p->aArea = 0;
+ Aig_ManForEachPo( p->pManAig, pObj, i )
+ p->aArea += Aig_ManScanMapping_rec( p, Aig_ObjFanin0(pObj), vMapped );
+// printf( "Variables = %6d. Clauses = %8d.\n", vMapped? Vec_PtrSize(vMapped) + Aig_ManPiNum(p->pManAig) + 1 : 0, p->aArea + 2 );
+ return vMapped;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes area, references, and nodes used in the mapping.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Cnf_ManScanMapping_rec( Cnf_Man_t * p, Aig_Obj_t * pObj, Vec_Ptr_t * vMapped, int fPreorder )
+{
+ Aig_Obj_t * pLeaf;
+ Cnf_Cut_t * pCutBest;
+ int aArea, i;
+ if ( pObj->nRefs++ || Aig_ObjIsPi(pObj) || Aig_ObjIsConst1(pObj) )
+ return 0;
+ assert( Aig_ObjIsAnd(pObj) );
+ assert( pObj->pData != NULL );
+ // add the node to the mapping
+ if ( vMapped && fPreorder )
+ Vec_PtrPush( vMapped, pObj );
+ // visit the transitive fanin of the selected cut
+ if ( pObj->fMarkB )
+ {
+ Vec_Ptr_t * vSuper = Vec_PtrAlloc( 100 );
+ Aig_ObjCollectSuper( pObj, vSuper );
+ aArea = Vec_PtrSize(vSuper) + 1;
+ Vec_PtrForEachEntry( vSuper, pLeaf, i )
+ aArea += Cnf_ManScanMapping_rec( p, Aig_Regular(pLeaf), vMapped, fPreorder );
+ Vec_PtrFree( vSuper );
+ ////////////////////////////
+ pObj->fMarkB = 1;
+ }
+ else
+ {
+ pCutBest = pObj->pData;
+ assert( pCutBest->Cost < 127 );
+ aArea = pCutBest->Cost;
+ Cnf_CutForEachLeaf( p->pManAig, pCutBest, pLeaf, i )
+ aArea += Cnf_ManScanMapping_rec( p, pLeaf, vMapped, fPreorder );
+ }
+ // add the node to the mapping
+ if ( vMapped && !fPreorder )
+ Vec_PtrPush( vMapped, pObj );
+ return aArea;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes area, references, and nodes used in the mapping.]
+
+ Description [Collects the nodes in reverse topological order.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Vec_Ptr_t * Cnf_ManScanMapping( Cnf_Man_t * p, int fCollect, int fPreorder )
+{
+ Vec_Ptr_t * vMapped = NULL;
+ Aig_Obj_t * pObj;
+ int i;
+ // clean all references
+ Aig_ManForEachObj( p->pManAig, pObj, i )
+ pObj->nRefs = 0;
+ // allocate the array
+ if ( fCollect )
+ vMapped = Vec_PtrAlloc( 1000 );
+ // collect nodes reachable from POs in the DFS order through the best cuts
+ p->aArea = 0;
+ Aig_ManForEachPo( p->pManAig, pObj, i )
+ p->aArea += Cnf_ManScanMapping_rec( p, Aig_ObjFanin0(pObj), vMapped, fPreorder );
+// printf( "Variables = %6d. Clauses = %8d.\n", vMapped? Vec_PtrSize(vMapped) + Aig_ManPiNum(p->pManAig) + 1 : 0, p->aArea + 2 );
+ return vMapped;
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/cnf/cnfWrite.c b/src/aig/cnf/cnfWrite.c
new file mode 100644
index 00000000..45a3efad
--- /dev/null
+++ b/src/aig/cnf/cnfWrite.c
@@ -0,0 +1,443 @@
+/**CFile****************************************************************
+
+ FileName [cnfWrite.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [AIG-to-CNF conversion.]
+
+ Synopsis []
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - April 28, 2007.]
+
+ Revision [$Id: cnfWrite.c,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "cnf.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Writes the cover into the array.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Cnf_SopConvertToVector( char * pSop, int nCubes, Vec_Int_t * vCover )
+{
+ int Lits[4], Cube, iCube, i, b;
+ Vec_IntClear( vCover );
+ for ( i = 0; i < nCubes; i++ )
+ {
+ Cube = pSop[i];
+ for ( b = 0; b < 4; b++ )
+ {
+ if ( Cube % 3 == 0 )
+ Lits[b] = 1;
+ else if ( Cube % 3 == 1 )
+ Lits[b] = 2;
+ else
+ Lits[b] = 0;
+ Cube = Cube / 3;
+ }
+ iCube = 0;
+ for ( b = 0; b < 4; b++ )
+ iCube = (iCube << 2) | Lits[b];
+ Vec_IntPush( vCover, iCube );
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns the number of literals in the SOP.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Cnf_SopCountLiterals( char * pSop, int nCubes )
+{
+ int nLits = 0, Cube, i, b;
+ for ( i = 0; i < nCubes; i++ )
+ {
+ Cube = pSop[i];
+ for ( b = 0; b < 4; b++ )
+ {
+ if ( Cube % 3 != 2 )
+ nLits++;
+ Cube = Cube / 3;
+ }
+ }
+ return nLits;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns the number of literals in the SOP.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Cnf_IsopCountLiterals( Vec_Int_t * vIsop, int nVars )
+{
+ int nLits = 0, Cube, i, b;
+ Vec_IntForEachEntry( vIsop, Cube, i )
+ {
+ for ( b = 0; b < nVars; b++ )
+ {
+ if ( (Cube & 3) == 1 || (Cube & 3) == 2 )
+ nLits++;
+ Cube >>= 2;
+ }
+ }
+ return nLits;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Writes the cube and returns the number of literals in it.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Cnf_IsopWriteCube( int Cube, int nVars, int * pVars, int * pLiterals )
+{
+ int nLits = nVars, b;
+ for ( b = 0; b < nVars; b++ )
+ {
+ if ( (Cube & 3) == 1 ) // value 0 --> write positive literal
+ *pLiterals++ = 2 * pVars[b];
+ else if ( (Cube & 3) == 2 ) // value 1 --> write negative literal
+ *pLiterals++ = 2 * pVars[b] + 1;
+ else
+ nLits--;
+ Cube >>= 2;
+ }
+ return nLits;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Derives CNF for the mapping.]
+
+ Description [The last argument shows the number of last outputs
+ of the manager, which will not be converted into clauses but the
+ new variables for which will be introduced.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Cnf_Dat_t * Cnf_ManWriteCnf( Cnf_Man_t * p, Vec_Ptr_t * vMapped, int nOutputs )
+{
+ Aig_Obj_t * pObj;
+ Cnf_Dat_t * pCnf;
+ Cnf_Cut_t * pCut;
+ Vec_Int_t * vCover, * vSopTemp;
+ int OutVar, PoVar, pVars[32], * pLits, ** pClas;
+ unsigned uTruth;
+ int i, k, nLiterals, nClauses, Cube, Number;
+
+ // count the number of literals and clauses
+ nLiterals = 1 + Aig_ManPoNum( p->pManAig ) + 3 * nOutputs;
+ nClauses = 1 + Aig_ManPoNum( p->pManAig ) + nOutputs;
+ Vec_PtrForEachEntry( vMapped, pObj, i )
+ {
+ assert( Aig_ObjIsNode(pObj) );
+ pCut = Cnf_ObjBestCut( pObj );
+
+ // positive polarity of the cut
+ if ( pCut->nFanins < 5 )
+ {
+ uTruth = 0xFFFF & *Cnf_CutTruth(pCut);
+ nLiterals += Cnf_SopCountLiterals( p->pSops[uTruth], p->pSopSizes[uTruth] ) + p->pSopSizes[uTruth];
+ assert( p->pSopSizes[uTruth] >= 0 );
+ nClauses += p->pSopSizes[uTruth];
+ }
+ else
+ {
+ nLiterals += Cnf_IsopCountLiterals( pCut->vIsop[1], pCut->nFanins ) + Vec_IntSize(pCut->vIsop[1]);
+ nClauses += Vec_IntSize(pCut->vIsop[1]);
+ }
+ // negative polarity of the cut
+ if ( pCut->nFanins < 5 )
+ {
+ uTruth = 0xFFFF & ~*Cnf_CutTruth(pCut);
+ nLiterals += Cnf_SopCountLiterals( p->pSops[uTruth], p->pSopSizes[uTruth] ) + p->pSopSizes[uTruth];
+ assert( p->pSopSizes[uTruth] >= 0 );
+ nClauses += p->pSopSizes[uTruth];
+ }
+ else
+ {
+ nLiterals += Cnf_IsopCountLiterals( pCut->vIsop[0], pCut->nFanins ) + Vec_IntSize(pCut->vIsop[0]);
+ nClauses += Vec_IntSize(pCut->vIsop[0]);
+ }
+//printf( "%d ", nClauses-(1 + Aig_ManPoNum( p->pManAig )) );
+ }
+//printf( "\n" );
+
+ // allocate CNF
+ pCnf = ALLOC( Cnf_Dat_t, 1 );
+ memset( pCnf, 0, sizeof(Cnf_Dat_t) );
+ pCnf->nLiterals = nLiterals;
+ pCnf->nClauses = nClauses;
+ pCnf->pClauses = ALLOC( int *, nClauses + 1 );
+ pCnf->pClauses[0] = ALLOC( int, nLiterals );
+ pCnf->pClauses[nClauses] = pCnf->pClauses[0] + nLiterals;
+
+ // create room for variable numbers
+ pCnf->pVarNums = ALLOC( int, Aig_ManObjNumMax(p->pManAig) );
+ memset( pCnf->pVarNums, 0xff, sizeof(int) * Aig_ManObjNumMax(p->pManAig) );
+ // assign variables to the last (nOutputs) POs
+ Number = 1;
+ if ( nOutputs )
+ {
+ assert( nOutputs == Aig_ManRegNum(p->pManAig) );
+ Aig_ManForEachLiSeq( p->pManAig, pObj, i )
+ pCnf->pVarNums[pObj->Id] = Number++;
+ }
+ // assign variables to the internal nodes
+ Vec_PtrForEachEntry( vMapped, pObj, i )
+ pCnf->pVarNums[pObj->Id] = Number++;
+ // assign variables to the PIs and constant node
+ Aig_ManForEachPi( p->pManAig, pObj, i )
+ pCnf->pVarNums[pObj->Id] = Number++;
+ pCnf->pVarNums[Aig_ManConst1(p->pManAig)->Id] = Number++;
+ pCnf->nVars = Number;
+
+ // assign the clauses
+ vSopTemp = Vec_IntAlloc( 1 << 16 );
+ pLits = pCnf->pClauses[0];
+ pClas = pCnf->pClauses;
+ Vec_PtrForEachEntry( vMapped, pObj, i )
+ {
+ pCut = Cnf_ObjBestCut( pObj );
+
+ // save variables of this cut
+ OutVar = pCnf->pVarNums[ pObj->Id ];
+ for ( k = 0; k < (int)pCut->nFanins; k++ )
+ {
+ pVars[k] = pCnf->pVarNums[ pCut->pFanins[k] ];
+ assert( pVars[k] <= Aig_ManObjNumMax(p->pManAig) );
+ }
+
+ // positive polarity of the cut
+ if ( pCut->nFanins < 5 )
+ {
+ uTruth = 0xFFFF & *Cnf_CutTruth(pCut);
+ Cnf_SopConvertToVector( p->pSops[uTruth], p->pSopSizes[uTruth], vSopTemp );
+ vCover = vSopTemp;
+ }
+ else
+ vCover = pCut->vIsop[1];
+ Vec_IntForEachEntry( vCover, Cube, k )
+ {
+ *pClas++ = pLits;
+ *pLits++ = 2 * OutVar;
+ pLits += Cnf_IsopWriteCube( Cube, pCut->nFanins, pVars, pLits );
+ }
+
+ // negative polarity of the cut
+ if ( pCut->nFanins < 5 )
+ {
+ uTruth = 0xFFFF & ~*Cnf_CutTruth(pCut);
+ Cnf_SopConvertToVector( p->pSops[uTruth], p->pSopSizes[uTruth], vSopTemp );
+ vCover = vSopTemp;
+ }
+ else
+ vCover = pCut->vIsop[0];
+ Vec_IntForEachEntry( vCover, Cube, k )
+ {
+ *pClas++ = pLits;
+ *pLits++ = 2 * OutVar + 1;
+ pLits += Cnf_IsopWriteCube( Cube, pCut->nFanins, pVars, pLits );
+ }
+ }
+ Vec_IntFree( vSopTemp );
+
+ // write the constant literal
+ OutVar = pCnf->pVarNums[ Aig_ManConst1(p->pManAig)->Id ];
+ assert( OutVar <= Aig_ManObjNumMax(p->pManAig) );
+ *pClas++ = pLits;
+ *pLits++ = 2 * OutVar;
+
+ // write the output literals
+ Aig_ManForEachPo( p->pManAig, pObj, i )
+ {
+ OutVar = pCnf->pVarNums[ Aig_ObjFanin0(pObj)->Id ];
+ if ( i < Aig_ManPoNum(p->pManAig) - nOutputs )
+ {
+ *pClas++ = pLits;
+ *pLits++ = 2 * OutVar + Aig_ObjFaninC0(pObj);
+ }
+ else
+ {
+ PoVar = pCnf->pVarNums[ pObj->Id ];
+ // first clause
+ *pClas++ = pLits;
+ *pLits++ = 2 * PoVar;
+ *pLits++ = 2 * OutVar + !Aig_ObjFaninC0(pObj);
+ // second clause
+ *pClas++ = pLits;
+ *pLits++ = 2 * PoVar + 1;
+ *pLits++ = 2 * OutVar + Aig_ObjFaninC0(pObj);
+ }
+ }
+
+ // verify that the correct number of literals and clauses was written
+ assert( pLits - pCnf->pClauses[0] == nLiterals );
+ assert( pClas - pCnf->pClauses == nClauses );
+ return pCnf;
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Derives a simple CNF for the AIG.]
+
+ Description [The last argument shows the number of last outputs
+ of the manager, which will not be converted into clauses but the
+ new variables for which will be introduced.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Cnf_Dat_t * Cnf_DeriveSimple( Aig_Man_t * p, int nOutputs )
+{
+ Aig_Obj_t * pObj;
+ Cnf_Dat_t * pCnf;
+ int OutVar, PoVar, pVars[32], * pLits, ** pClas;
+ int i, nLiterals, nClauses, Number;
+
+ // count the number of literals and clauses
+ nLiterals = 1 + 7 * Aig_ManNodeNum(p) + Aig_ManPoNum( p ) + 3 * nOutputs;
+ nClauses = 1 + 3 * Aig_ManNodeNum(p) + Aig_ManPoNum( p ) + nOutputs;
+
+ // allocate CNF
+ pCnf = ALLOC( Cnf_Dat_t, 1 );
+ memset( pCnf, 0, sizeof(Cnf_Dat_t) );
+ pCnf->nLiterals = nLiterals;
+ pCnf->nClauses = nClauses;
+ pCnf->pClauses = ALLOC( int *, nClauses + 1 );
+ pCnf->pClauses[0] = ALLOC( int, nLiterals );
+ pCnf->pClauses[nClauses] = pCnf->pClauses[0] + nLiterals;
+
+ // create room for variable numbers
+ pCnf->pVarNums = ALLOC( int, Aig_ManObjNumMax(p) );
+ memset( pCnf->pVarNums, 0xff, sizeof(int) * Aig_ManObjNumMax(p) );
+ // assign variables to the last (nOutputs) POs
+ Number = 1;
+ if ( nOutputs )
+ {
+ assert( nOutputs == Aig_ManRegNum(p) );
+ Aig_ManForEachLiSeq( p, pObj, i )
+ pCnf->pVarNums[pObj->Id] = Number++;
+ }
+ // assign variables to the internal nodes
+ Aig_ManForEachNode( p, pObj, i )
+ pCnf->pVarNums[pObj->Id] = Number++;
+ // assign variables to the PIs and constant node
+ Aig_ManForEachPi( p, pObj, i )
+ pCnf->pVarNums[pObj->Id] = Number++;
+ pCnf->pVarNums[Aig_ManConst1(p)->Id] = Number++;
+ pCnf->nVars = Number;
+/*
+ // print CNF numbers
+ printf( "SAT numbers of each node:\n" );
+ Aig_ManForEachObj( p, pObj, i )
+ printf( "%d=%d ", pObj->Id, pCnf->pVarNums[pObj->Id] );
+ printf( "\n" );
+*/
+ // assign the clauses
+ pLits = pCnf->pClauses[0];
+ pClas = pCnf->pClauses;
+ Aig_ManForEachNode( p, pObj, i )
+ {
+ OutVar = pCnf->pVarNums[ pObj->Id ];
+ pVars[0] = pCnf->pVarNums[ Aig_ObjFanin0(pObj)->Id ];
+ pVars[1] = pCnf->pVarNums[ Aig_ObjFanin1(pObj)->Id ];
+
+ // positive phase
+ *pClas++ = pLits;
+ *pLits++ = 2 * OutVar;
+ *pLits++ = 2 * pVars[0] + !Aig_ObjFaninC0(pObj);
+ *pLits++ = 2 * pVars[1] + !Aig_ObjFaninC1(pObj);
+ // negative phase
+ *pClas++ = pLits;
+ *pLits++ = 2 * OutVar + 1;
+ *pLits++ = 2 * pVars[0] + Aig_ObjFaninC0(pObj);
+ *pClas++ = pLits;
+ *pLits++ = 2 * OutVar + 1;
+ *pLits++ = 2 * pVars[1] + Aig_ObjFaninC1(pObj);
+ }
+
+ // write the constant literal
+ OutVar = pCnf->pVarNums[ Aig_ManConst1(p)->Id ];
+ assert( OutVar <= Aig_ManObjNumMax(p) );
+ *pClas++ = pLits;
+ *pLits++ = 2 * OutVar;
+
+ // write the output literals
+ Aig_ManForEachPo( p, pObj, i )
+ {
+ OutVar = pCnf->pVarNums[ Aig_ObjFanin0(pObj)->Id ];
+ if ( i < Aig_ManPoNum(p) - nOutputs )
+ {
+ *pClas++ = pLits;
+ *pLits++ = 2 * OutVar + Aig_ObjFaninC0(pObj);
+ }
+ else
+ {
+ PoVar = pCnf->pVarNums[ pObj->Id ];
+ // first clause
+ *pClas++ = pLits;
+ *pLits++ = 2 * PoVar;
+ *pLits++ = 2 * OutVar + !Aig_ObjFaninC0(pObj);
+ // second clause
+ *pClas++ = pLits;
+ *pLits++ = 2 * PoVar + 1;
+ *pLits++ = 2 * OutVar + Aig_ObjFaninC0(pObj);
+ }
+ }
+
+ // verify that the correct number of literals and clauses was written
+ assert( pLits - pCnf->pClauses[0] == nLiterals );
+ assert( pClas - pCnf->pClauses == nClauses );
+ return pCnf;
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/cnf/cnf_.c b/src/aig/cnf/cnf_.c
new file mode 100644
index 00000000..7c9ca499
--- /dev/null
+++ b/src/aig/cnf/cnf_.c
@@ -0,0 +1,48 @@
+/**CFile****************************************************************
+
+ FileName [cnf_.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [AIG-to-CNF conversion.]
+
+ Synopsis []
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - April 28, 2007.]
+
+ Revision [$Id: cnf_.c,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "cnf.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/cnf/module.make b/src/aig/cnf/module.make
new file mode 100644
index 00000000..dbcaeba4
--- /dev/null
+++ b/src/aig/cnf/module.make
@@ -0,0 +1,8 @@
+SRC += src/aig/cnf/cnfCore.c \
+ src/aig/cnf/cnfCut.c \
+ src/aig/cnf/cnfData.c \
+ src/aig/cnf/cnfMan.c \
+ src/aig/cnf/cnfMap.c \
+ src/aig/cnf/cnfPost.c \
+ src/aig/cnf/cnfUtil.c \
+ src/aig/cnf/cnfWrite.c
diff --git a/src/aig/csw/csw.h b/src/aig/csw/csw.h
new file mode 100644
index 00000000..1443f4d9
--- /dev/null
+++ b/src/aig/csw/csw.h
@@ -0,0 +1,65 @@
+/**CFile****************************************************************
+
+ FileName [csw.h]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [Cut sweeping.]
+
+ Synopsis [External declarations.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - July 11, 2007.]
+
+ Revision [$Id: csw.h,v 1.00 2007/07/11 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#ifndef __CSW_H__
+#define __CSW_H__
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+////////////////////////////////////////////////////////////////////////
+/// INCLUDES ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// PARAMETERS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// BASIC TYPES ///
+////////////////////////////////////////////////////////////////////////
+
+
+////////////////////////////////////////////////////////////////////////
+/// MACRO DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// ITERATORS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/*=== cnfCore.c ========================================================*/
+extern Aig_Man_t * Csw_Sweep( Aig_Man_t * pAig, int nCutsMax, int nLeafMax, int fVerbose );
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
diff --git a/src/aig/csw/cswCore.c b/src/aig/csw/cswCore.c
new file mode 100644
index 00000000..20893058
--- /dev/null
+++ b/src/aig/csw/cswCore.c
@@ -0,0 +1,94 @@
+/**CFile****************************************************************
+
+ FileName [cswCore.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [Cut sweeping.]
+
+ Synopsis []
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - July 11, 2007.]
+
+ Revision [$Id: cswCore.c,v 1.00 2007/07/11 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "cswInt.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Man_t * Csw_Sweep( Aig_Man_t * pAig, int nCutsMax, int nLeafMax, int fVerbose )
+{
+ Csw_Man_t * p;
+ Aig_Man_t * pRes;
+ Aig_Obj_t * pObj, * pObjNew, * pObjRes;
+ int i, clk;
+clk = clock();
+ // start the manager
+ p = Csw_ManStart( pAig, nCutsMax, nLeafMax, fVerbose );
+ // set elementary cuts at the PIs
+ Aig_ManForEachPi( p->pManRes, pObj, i )
+ {
+ Csw_ObjPrepareCuts( p, pObj, 1 );
+ Csw_ObjAddRefs( p, pObj, Aig_ManPi(p->pManAig,i)->nRefs );
+ }
+ // process the nodes
+ Aig_ManForEachNode( pAig, pObj, i )
+ {
+ // create the new node
+ pObjNew = Aig_And( p->pManRes, Csw_ObjChild0Equiv(p, pObj), Csw_ObjChild1Equiv(p, pObj) );
+ // check if this node can be represented using another node
+// pObjRes = Csw_ObjSweep( p, Aig_Regular(pObjNew), pObj->nRefs > 1 );
+// pObjRes = Aig_NotCond( pObjRes, Aig_IsComplement(pObjNew) );
+ // try recursively if resubsitution is used
+ do {
+ pObjRes = Csw_ObjSweep( p, Aig_Regular(pObjNew), pObj->nRefs > 1 );
+ pObjRes = Aig_NotCond( pObjRes, Aig_IsComplement(pObjNew) );
+ pObjNew = pObjRes;
+ } while ( Csw_ObjCuts(p, Aig_Regular(pObjNew)) == NULL && !Aig_ObjIsConst1(Aig_Regular(pObjNew)) );
+ // save the resulting node
+ Csw_ObjSetEquiv( p, pObj, pObjRes );
+ // add to the reference counter
+ Csw_ObjAddRefs( p, Aig_Regular(pObjRes), pObj->nRefs );
+ }
+ // add the POs
+ Aig_ManForEachPo( pAig, pObj, i )
+ Aig_ObjCreatePo( p->pManRes, Csw_ObjChild0Equiv(p, pObj) );
+ // remove dangling nodes
+ Aig_ManCleanup( p->pManRes );
+ // return the resulting manager
+p->timeTotal = clock() - clk;
+p->timeOther = p->timeTotal - p->timeCuts - p->timeHash;
+ pRes = p->pManRes;
+ Csw_ManStop( p );
+ return pRes;
+}
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/csw/cswCut.c b/src/aig/csw/cswCut.c
new file mode 100644
index 00000000..b3b7152b
--- /dev/null
+++ b/src/aig/csw/cswCut.c
@@ -0,0 +1,602 @@
+/**CFile****************************************************************
+
+ FileName [cswCut.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [Cut sweeping.]
+
+ Synopsis []
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - July 11, 2007.]
+
+ Revision [$Id: cswCut.c,v 1.00 2007/07/11 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "cswInt.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Compute the cost of the cut.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int Csw_CutFindCost( Csw_Man_t * p, Csw_Cut_t * pCut )
+{
+ Aig_Obj_t * pLeaf;
+ int i, Cost = 0;
+ assert( pCut->nFanins > 0 );
+ Csw_CutForEachLeaf( p->pManRes, pCut, pLeaf, i )
+ {
+// Cost += pLeaf->nRefs;
+ Cost += Csw_ObjRefs( p, pLeaf );
+// printf( "%d ", pLeaf->nRefs );
+ }
+//printf( "\n" );
+ return Cost * 100 / pCut->nFanins;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Compute the cost of the cut.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline float Csw_CutFindCost2( Csw_Man_t * p, Csw_Cut_t * pCut )
+{
+ Aig_Obj_t * pLeaf;
+ float Cost = 0.0;
+ int i;
+ assert( pCut->nFanins > 0 );
+ Csw_CutForEachLeaf( p->pManRes, pCut, pLeaf, i )
+ Cost += (float)1.0/pLeaf->nRefs;
+ return 1/Cost;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns the next free cut to use.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline Csw_Cut_t * Csw_CutFindFree( Csw_Man_t * p, Aig_Obj_t * pObj )
+{
+ Csw_Cut_t * pCut, * pCutMax;
+ int i;
+ pCutMax = NULL;
+ Csw_ObjForEachCut( p, pObj, pCut, i )
+ {
+ if ( pCut->nFanins == 0 )
+ return pCut;
+ if ( pCutMax == NULL || pCutMax->Cost < pCut->Cost )
+ pCutMax = pCut;
+ }
+ assert( pCutMax != NULL );
+ pCutMax->nFanins = 0;
+ return pCutMax;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes the stretching phase of the cut w.r.t. the merged cut.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline unsigned Cut_TruthPhase( Csw_Cut_t * pCut, Csw_Cut_t * pCut1 )
+{
+ unsigned uPhase = 0;
+ int i, k;
+ for ( i = k = 0; i < pCut->nFanins; i++ )
+ {
+ if ( k == pCut1->nFanins )
+ break;
+ if ( pCut->pFanins[i] < pCut1->pFanins[k] )
+ continue;
+ assert( pCut->pFanins[i] == pCut1->pFanins[k] );
+ uPhase |= (1 << i);
+ k++;
+ }
+ return uPhase;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs truth table computation.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+unsigned * Csw_CutComputeTruth( Csw_Man_t * p, Csw_Cut_t * pCut, Csw_Cut_t * pCut0, Csw_Cut_t * pCut1, int fCompl0, int fCompl1 )
+{
+ // permute the first table
+ if ( fCompl0 )
+ Kit_TruthNot( p->puTemp[0], Csw_CutTruth(pCut0), p->nLeafMax );
+ else
+ Kit_TruthCopy( p->puTemp[0], Csw_CutTruth(pCut0), p->nLeafMax );
+ Kit_TruthStretch( p->puTemp[2], p->puTemp[0], pCut0->nFanins, p->nLeafMax, Cut_TruthPhase(pCut, pCut0), 0 );
+ // permute the second table
+ if ( fCompl1 )
+ Kit_TruthNot( p->puTemp[1], Csw_CutTruth(pCut1), p->nLeafMax );
+ else
+ Kit_TruthCopy( p->puTemp[1], Csw_CutTruth(pCut1), p->nLeafMax );
+ Kit_TruthStretch( p->puTemp[3], p->puTemp[1], pCut1->nFanins, p->nLeafMax, Cut_TruthPhase(pCut, pCut1), 0 );
+ // produce the resulting table
+ Kit_TruthAnd( Csw_CutTruth(pCut), p->puTemp[2], p->puTemp[3], p->nLeafMax );
+// assert( pCut->nFanins >= Kit_TruthSupportSize( Csw_CutTruth(pCut), p->nLeafMax ) );
+ return Csw_CutTruth(pCut);
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs support minimization for the truth table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Csw_CutSupportMinimize( Csw_Man_t * p, Csw_Cut_t * pCut )
+{
+ unsigned * pTruth;
+ int uSupp, nFansNew, i, k;
+ // get truth table
+ pTruth = Csw_CutTruth( pCut );
+ // get support
+ uSupp = Kit_TruthSupport( pTruth, p->nLeafMax );
+ // get the new support size
+ nFansNew = Kit_WordCountOnes( uSupp );
+ // check if there are redundant variables
+ if ( nFansNew == pCut->nFanins )
+ return nFansNew;
+ assert( nFansNew < pCut->nFanins );
+ // minimize support
+ Kit_TruthShrink( p->puTemp[0], pTruth, nFansNew, p->nLeafMax, uSupp, 1 );
+ for ( i = k = 0; i < pCut->nFanins; i++ )
+ if ( uSupp & (1 << i) )
+ pCut->pFanins[k++] = pCut->pFanins[i];
+ assert( k == nFansNew );
+ pCut->nFanins = nFansNew;
+// assert( nFansNew == Kit_TruthSupportSize( pTruth, p->nLeafMax ) );
+//Extra_PrintBinary( stdout, pTruth, (1<<p->nLeafMax) ); printf( "\n" );
+ return nFansNew;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns 1 if pDom is contained in pCut.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int Csw_CutCheckDominance( Csw_Cut_t * pDom, Csw_Cut_t * pCut )
+{
+ int i, k;
+ for ( i = 0; i < (int)pDom->nFanins; i++ )
+ {
+ for ( k = 0; k < (int)pCut->nFanins; k++ )
+ if ( pDom->pFanins[i] == pCut->pFanins[k] )
+ break;
+ if ( k == (int)pCut->nFanins ) // node i in pDom is not contained in pCut
+ return 0;
+ }
+ // every node in pDom is contained in pCut
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns 1 if the cut is contained.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Csw_CutFilter( Csw_Man_t * p, Aig_Obj_t * pObj, Csw_Cut_t * pCut )
+{
+ Csw_Cut_t * pTemp;
+ int i;
+ // go through the cuts of the node
+ Csw_ObjForEachCut( p, pObj, pTemp, i )
+ {
+ if ( pTemp->nFanins < 2 )
+ continue;
+ if ( pTemp == pCut )
+ continue;
+ if ( pTemp->nFanins > pCut->nFanins )
+ {
+ // skip the non-contained cuts
+ if ( (pTemp->uSign & pCut->uSign) != pCut->uSign )
+ continue;
+ // check containment seriously
+ if ( Csw_CutCheckDominance( pCut, pTemp ) )
+ {
+ // remove contained cut
+ pTemp->nFanins = 0;
+ }
+ }
+ else
+ {
+ // skip the non-contained cuts
+ if ( (pTemp->uSign & pCut->uSign) != pTemp->uSign )
+ continue;
+ // check containment seriously
+ if ( Csw_CutCheckDominance( pTemp, pCut ) )
+ {
+ // remove the given
+ pCut->nFanins = 0;
+ return 1;
+ }
+ }
+ }
+ return 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Merges two cuts.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int Csw_CutMergeOrdered( Csw_Man_t * p, Csw_Cut_t * pC0, Csw_Cut_t * pC1, Csw_Cut_t * pC )
+{
+ int i, k, c;
+ assert( pC0->nFanins >= pC1->nFanins );
+ // the case of the largest cut sizes
+ if ( pC0->nFanins == p->nLeafMax && pC1->nFanins == p->nLeafMax )
+ {
+ for ( i = 0; i < pC0->nFanins; i++ )
+ if ( pC0->pFanins[i] != pC1->pFanins[i] )
+ return 0;
+ for ( i = 0; i < pC0->nFanins; i++ )
+ pC->pFanins[i] = pC0->pFanins[i];
+ pC->nFanins = pC0->nFanins;
+ return 1;
+ }
+ // the case when one of the cuts is the largest
+ if ( pC0->nFanins == p->nLeafMax )
+ {
+ for ( i = 0; i < pC1->nFanins; i++ )
+ {
+ for ( k = pC0->nFanins - 1; k >= 0; k-- )
+ if ( pC0->pFanins[k] == pC1->pFanins[i] )
+ break;
+ if ( k == -1 ) // did not find
+ return 0;
+ }
+ for ( i = 0; i < pC0->nFanins; i++ )
+ pC->pFanins[i] = pC0->pFanins[i];
+ pC->nFanins = pC0->nFanins;
+ return 1;
+ }
+
+ // compare two cuts with different numbers
+ i = k = 0;
+ for ( c = 0; c < p->nLeafMax; c++ )
+ {
+ if ( k == pC1->nFanins )
+ {
+ if ( i == pC0->nFanins )
+ {
+ pC->nFanins = c;
+ return 1;
+ }
+ pC->pFanins[c] = pC0->pFanins[i++];
+ continue;
+ }
+ if ( i == pC0->nFanins )
+ {
+ if ( k == pC1->nFanins )
+ {
+ pC->nFanins = c;
+ return 1;
+ }
+ pC->pFanins[c] = pC1->pFanins[k++];
+ continue;
+ }
+ if ( pC0->pFanins[i] < pC1->pFanins[k] )
+ {
+ pC->pFanins[c] = pC0->pFanins[i++];
+ continue;
+ }
+ if ( pC0->pFanins[i] > pC1->pFanins[k] )
+ {
+ pC->pFanins[c] = pC1->pFanins[k++];
+ continue;
+ }
+ pC->pFanins[c] = pC0->pFanins[i++];
+ k++;
+ }
+ if ( i < pC0->nFanins || k < pC1->nFanins )
+ return 0;
+ pC->nFanins = c;
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Prepares the object for FPGA mapping.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Csw_CutMerge( Csw_Man_t * p, Csw_Cut_t * pCut0, Csw_Cut_t * pCut1, Csw_Cut_t * pCut )
+{
+ assert( p->nLeafMax > 0 );
+ // merge the nodes
+ if ( pCut0->nFanins < pCut1->nFanins )
+ {
+ if ( !Csw_CutMergeOrdered( p, pCut1, pCut0, pCut ) )
+ return 0;
+ }
+ else
+ {
+ if ( !Csw_CutMergeOrdered( p, pCut0, pCut1, pCut ) )
+ return 0;
+ }
+ pCut->uSign = pCut0->uSign | pCut1->uSign;
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Consider cut with more than 2 fanins having 2 true variables.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Obj_t * Csw_ObjTwoVarCut( Csw_Man_t * p, Csw_Cut_t * pCut )
+{
+ Aig_Obj_t * pRes, * pIn0, * pIn1;
+ int nVars, uTruth, fCompl = 0;
+ assert( pCut->nFanins > 2 );
+ // minimize support of this cut
+ nVars = Csw_CutSupportMinimize( p, pCut );
+ assert( nVars == 2 );
+ // get the fanins
+ pIn0 = Aig_ManObj( p->pManRes, pCut->pFanins[0] );
+ pIn1 = Aig_ManObj( p->pManRes, pCut->pFanins[1] );
+ // derive the truth table
+ uTruth = 0xF & *Csw_CutTruth(pCut);
+ if ( uTruth == 14 || uTruth == 13 || uTruth == 11 || uTruth == 7 )
+ {
+ uTruth = 0xF & ~uTruth;
+ fCompl = 1;
+ }
+ // compute the result
+ pRes = NULL;
+ if ( uTruth == 1 ) // 0001 // 1110 14
+ pRes = Aig_And( p->pManRes, Aig_Not(pIn0), Aig_Not(pIn1) );
+ if ( uTruth == 2 ) // 0010 // 1101 13
+ pRes = Aig_And( p->pManRes, pIn0 , Aig_Not(pIn1) );
+ if ( uTruth == 4 ) // 0100 // 1011 11
+ pRes = Aig_And( p->pManRes, Aig_Not(pIn0), pIn1 );
+ if ( uTruth == 8 ) // 1000 // 0111 7
+ pRes = Aig_And( p->pManRes, pIn0 , pIn1 );
+ if ( pRes )
+ pRes = Aig_NotCond( pRes, fCompl );
+ return pRes;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Csw_Cut_t * Csw_ObjPrepareCuts( Csw_Man_t * p, Aig_Obj_t * pObj, int fTriv )
+{
+ Csw_Cut_t * pCutSet, * pCut;
+ int i;
+ // create the cutset of the node
+ pCutSet = (Csw_Cut_t *)Aig_MmFixedEntryFetch( p->pMemCuts );
+ Csw_ObjSetCuts( p, pObj, pCutSet );
+ Csw_ObjForEachCut( p, pObj, pCut, i )
+ {
+ pCut->nFanins = 0;
+ pCut->iNode = pObj->Id;
+ pCut->nCutSize = p->nCutSize;
+ pCut->nLeafMax = p->nLeafMax;
+ }
+ // add unit cut if needed
+ if ( fTriv )
+ {
+ pCut = pCutSet;
+ pCut->Cost = 0;
+ pCut->iNode = pObj->Id;
+ pCut->nFanins = 1;
+ pCut->pFanins[0] = pObj->Id;
+ pCut->uSign = Aig_ObjCutSign( pObj->Id );
+ memset( Csw_CutTruth(pCut), 0xAA, sizeof(unsigned) * p->nTruthWords );
+ }
+ return pCutSet;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Derives cuts for one node and sweeps this node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Obj_t * Csw_ObjSweep( Csw_Man_t * p, Aig_Obj_t * pObj, int fTriv )
+{
+ int fUseResub = 1;
+ Csw_Cut_t * pCut0, * pCut1, * pCut, * pCutSet;
+ Aig_Obj_t * pFanin0 = Aig_ObjFanin0(pObj);
+ Aig_Obj_t * pFanin1 = Aig_ObjFanin1(pObj);
+ Aig_Obj_t * pObjNew;
+ unsigned * pTruth;
+ int i, k, nVars, nFanins, iVar, clk;
+
+ assert( !Aig_IsComplement(pObj) );
+ if ( !Aig_ObjIsNode(pObj) )
+ return pObj;
+ if ( Csw_ObjCuts(p, pObj) )
+ return pObj;
+ // the node is not processed yet
+ assert( Csw_ObjCuts(p, pObj) == NULL );
+ assert( Aig_ObjIsNode(pObj) );
+
+ // set up the first cut
+ pCutSet = Csw_ObjPrepareCuts( p, pObj, fTriv );
+
+ // compute pair-wise cut combinations while checking table
+ Csw_ObjForEachCut( p, pFanin0, pCut0, i )
+ if ( pCut0->nFanins > 0 )
+ Csw_ObjForEachCut( p, pFanin1, pCut1, k )
+ if ( pCut1->nFanins > 0 )
+ {
+ // make sure K-feasible cut exists
+ if ( Kit_WordCountOnes(pCut0->uSign | pCut1->uSign) > p->nLeafMax )
+ continue;
+ // get the next cut of this node
+ pCut = Csw_CutFindFree( p, pObj );
+clk = clock();
+ // assemble the new cut
+ if ( !Csw_CutMerge( p, pCut0, pCut1, pCut ) )
+ {
+ assert( pCut->nFanins == 0 );
+ continue;
+ }
+ // check containment
+ if ( Csw_CutFilter( p, pObj, pCut ) )
+ {
+ assert( pCut->nFanins == 0 );
+ continue;
+ }
+ // create its truth table
+ pTruth = Csw_CutComputeTruth( p, pCut, pCut0, pCut1, Aig_ObjFaninC0(pObj), Aig_ObjFaninC1(pObj) );
+ // support minimize the truth table
+ nFanins = pCut->nFanins;
+// nVars = Csw_CutSupportMinimize( p, pCut ); // leads to quality degradation
+ nVars = Kit_TruthSupportSize( pTruth, p->nLeafMax );
+p->timeCuts += clock() - clk;
+
+ // check for trivial truth tables
+ if ( nVars == 0 )
+ {
+ p->nNodesTriv0++;
+ return Aig_NotCond( Aig_ManConst1(p->pManRes), !(pTruth[0] & 1) );
+ }
+ if ( nVars == 1 )
+ {
+ p->nNodesTriv1++;
+ iVar = Kit_WordFindFirstBit( Kit_TruthSupport(pTruth, p->nLeafMax) );
+ assert( iVar < pCut->nFanins );
+ return Aig_NotCond( Aig_ManObj(p->pManRes, pCut->pFanins[iVar]), (pTruth[0] & 1) );
+ }
+ if ( nVars == 2 && nFanins > 2 && fUseResub )
+ {
+ if ( pObjNew = Csw_ObjTwoVarCut( p, pCut ) )
+ {
+ p->nNodesTriv2++;
+ return pObjNew;
+ }
+ }
+
+ // check if an equivalent node with the same cut exists
+clk = clock();
+ pObjNew = pCut->nFanins > 2 ? Csw_TableCutLookup( p, pCut ) : NULL;
+p->timeHash += clock() - clk;
+ if ( pObjNew )
+ {
+ p->nNodesCuts++;
+ return pObjNew;
+ }
+
+ // assign the cost
+ pCut->Cost = Csw_CutFindCost( p, pCut );
+ assert( pCut->nFanins > 0 );
+ assert( pCut->Cost > 0 );
+ }
+ p->nNodesTried++;
+
+ // load the resulting cuts into the table
+clk = clock();
+ Csw_ObjForEachCut( p, pObj, pCut, i )
+ {
+ if ( pCut->nFanins > 2 )
+ {
+ assert( pCut->Cost > 0 );
+ Csw_TableCutInsert( p, pCut );
+ }
+ }
+p->timeHash += clock() - clk;
+
+ // return the node if could not replace it
+ return pObj;
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/csw/cswInt.h b/src/aig/csw/cswInt.h
new file mode 100644
index 00000000..37efe9b4
--- /dev/null
+++ b/src/aig/csw/cswInt.h
@@ -0,0 +1,157 @@
+/**CFile****************************************************************
+
+ FileName [cswInt.h]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [Cut sweeping.]
+
+ Synopsis [External declarations.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - July 11, 2007.]
+
+ Revision [$Id: cswInt.h,v 1.00 2007/07/11 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#ifndef __CSW_INT_H__
+#define __CSW_INT_H__
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+////////////////////////////////////////////////////////////////////////
+/// INCLUDES ///
+////////////////////////////////////////////////////////////////////////
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <assert.h>
+#include <time.h>
+
+#include "aig.h"
+#include "dar.h"
+#include "kit.h"
+#include "csw.h"
+
+////////////////////////////////////////////////////////////////////////
+/// PARAMETERS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// BASIC TYPES ///
+////////////////////////////////////////////////////////////////////////
+
+typedef struct Csw_Man_t_ Csw_Man_t;
+typedef struct Csw_Cut_t_ Csw_Cut_t;
+
+// the cut used to represent node in the AIG
+struct Csw_Cut_t_
+{
+ Csw_Cut_t * pNext; // the next cut in the table
+ int Cost; // the cost of the cut
+// float Cost; // the cost of the cut
+ unsigned uSign; // cut signature
+ int iNode; // the node, for which it is the cut
+ short nCutSize; // the number of bytes in the cut
+ char nLeafMax; // the maximum number of fanins
+ char nFanins; // the current number of fanins
+ int pFanins[0]; // the fanins (followed by the truth table)
+};
+
+// the CNF computation manager
+struct Csw_Man_t_
+{
+ // AIG manager
+ Aig_Man_t * pManAig; // the input AIG manager
+ Aig_Man_t * pManRes; // the output AIG manager
+ Aig_Obj_t ** pEquiv; // the equivalent nodes in the resulting manager
+ Csw_Cut_t ** pCuts; // the cuts for each node in the output manager
+ int * pnRefs; // the number of references of each new node
+ // hash table for cuts
+ Csw_Cut_t ** pTable; // the table composed of cuts
+ int nTableSize; // the size of hash table
+ // parameters
+ int nCutsMax; // the max number of cuts at the node
+ int nLeafMax; // the max number of leaves of a cut
+ int fVerbose; // enables verbose output
+ // internal variables
+ int nCutSize; // the number of bytes needed to store one cut
+ int nTruthWords; // the number of truth table words
+ Aig_MmFixed_t * pMemCuts; // memory manager for cuts
+ unsigned * puTemp[4]; // used for the truth table computation
+ // statistics
+ int nNodesTriv0; // the number of trivial nodes
+ int nNodesTriv1; // the number of trivial nodes
+ int nNodesTriv2; // the number of trivial nodes
+ int nNodesCuts; // the number of rewritten nodes
+ int nNodesTried; // the number of nodes tried
+ int timeCuts; // time to compute the cut and its truth table
+ int timeHash; // time for hashing cuts
+ int timeOther; // other time
+ int timeTotal; // total time
+};
+
+static inline int Csw_CutLeaveNum( Csw_Cut_t * pCut ) { return pCut->nFanins; }
+static inline int * Csw_CutLeaves( Csw_Cut_t * pCut ) { return pCut->pFanins; }
+static inline unsigned * Csw_CutTruth( Csw_Cut_t * pCut ) { return (unsigned *)(pCut->pFanins + pCut->nLeafMax); }
+static inline Csw_Cut_t * Csw_CutNext( Csw_Cut_t * pCut ) { return (Csw_Cut_t *)(((char *)pCut) + pCut->nCutSize); }
+
+static inline int Csw_ObjRefs( Csw_Man_t * p, Aig_Obj_t * pObj ) { return p->pnRefs[pObj->Id]; }
+static inline void Csw_ObjAddRefs( Csw_Man_t * p, Aig_Obj_t * pObj, int nRefs ) { p->pnRefs[pObj->Id] += nRefs; }
+
+static inline Csw_Cut_t * Csw_ObjCuts( Csw_Man_t * p, Aig_Obj_t * pObj ) { return p->pCuts[pObj->Id]; }
+static inline void Csw_ObjSetCuts( Csw_Man_t * p, Aig_Obj_t * pObj, Csw_Cut_t * pCuts ) { p->pCuts[pObj->Id] = pCuts; }
+
+static inline Aig_Obj_t * Csw_ObjEquiv( Csw_Man_t * p, Aig_Obj_t * pObj ) { return p->pEquiv[pObj->Id]; }
+static inline void Csw_ObjSetEquiv( Csw_Man_t * p, Aig_Obj_t * pObj, Aig_Obj_t * pEquiv ) { p->pEquiv[pObj->Id] = pEquiv; }
+
+static inline Aig_Obj_t * Csw_ObjChild0Equiv( Csw_Man_t * p, Aig_Obj_t * pObj ) { assert( !Aig_IsComplement(pObj) ); return Aig_ObjFanin0(pObj)? Aig_NotCond(Csw_ObjEquiv(p, Aig_ObjFanin0(pObj)), Aig_ObjFaninC0(pObj)) : NULL; }
+static inline Aig_Obj_t * Csw_ObjChild1Equiv( Csw_Man_t * p, Aig_Obj_t * pObj ) { assert( !Aig_IsComplement(pObj) ); return Aig_ObjFanin1(pObj)? Aig_NotCond(Csw_ObjEquiv(p, Aig_ObjFanin1(pObj)), Aig_ObjFaninC1(pObj)) : NULL; }
+
+////////////////////////////////////////////////////////////////////////
+/// MACRO DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// ITERATORS ///
+////////////////////////////////////////////////////////////////////////
+
+// iterator over cuts of the node
+#define Csw_ObjForEachCut( p, pObj, pCut, i ) \
+ for ( i = 0, pCut = Csw_ObjCuts(p, pObj); i < p->nCutsMax; i++, pCut = Csw_CutNext(pCut) )
+// iterator over leaves of the cut
+#define Csw_CutForEachLeaf( p, pCut, pLeaf, i ) \
+ for ( i = 0; (i < (int)(pCut)->nFanins) && ((pLeaf) = Aig_ManObj(p, (pCut)->pFanins[i])); i++ )
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/*=== cnfCut.c ========================================================*/
+extern Csw_Cut_t * Csw_ObjPrepareCuts( Csw_Man_t * p, Aig_Obj_t * pObj, int fTriv );
+extern Aig_Obj_t * Csw_ObjSweep( Csw_Man_t * p, Aig_Obj_t * pObj, int fTriv );
+/*=== cnfMan.c ========================================================*/
+extern Csw_Man_t * Csw_ManStart( Aig_Man_t * pMan, int nCutsMax, int nLeafMax, int fVerbose );
+extern void Csw_ManStop( Csw_Man_t * p );
+/*=== cnfTable.c ========================================================*/
+extern int Csw_TableCountCuts( Csw_Man_t * p );
+extern void Csw_TableCutInsert( Csw_Man_t * p, Csw_Cut_t * pCut );
+extern Aig_Obj_t * Csw_TableCutLookup( Csw_Man_t * p, Csw_Cut_t * pCut );
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
diff --git a/src/aig/csw/cswMan.c b/src/aig/csw/cswMan.c
new file mode 100644
index 00000000..c3061dee
--- /dev/null
+++ b/src/aig/csw/cswMan.c
@@ -0,0 +1,125 @@
+/**CFile****************************************************************
+
+ FileName [cswMan.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [Cut sweeping.]
+
+ Synopsis []
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - July 11, 2007.]
+
+ Revision [$Id: cswMan.c,v 1.00 2007/07/11 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "cswInt.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Starts the cut sweeping manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Csw_Man_t * Csw_ManStart( Aig_Man_t * pMan, int nCutsMax, int nLeafMax, int fVerbose )
+{
+ Csw_Man_t * p;
+ Aig_Obj_t * pObj;
+ int i;
+ assert( nCutsMax >= 2 );
+ assert( nLeafMax <= 16 );
+ // allocate the fraiging manager
+ p = ALLOC( Csw_Man_t, 1 );
+ memset( p, 0, sizeof(Csw_Man_t) );
+ p->nCutsMax = nCutsMax;
+ p->nLeafMax = nLeafMax;
+ p->fVerbose = fVerbose;
+ p->pManAig = pMan;
+ // create the new manager
+ p->pManRes = Aig_ManStartFrom( pMan );
+ assert( Aig_ManPiNum(p->pManAig) == Aig_ManPiNum(p->pManRes) );
+ // allocate room for cuts and equivalent nodes
+ p->pnRefs = ALLOC( int, Aig_ManObjNumMax(pMan) );
+ p->pEquiv = ALLOC( Aig_Obj_t *, Aig_ManObjNumMax(pMan) );
+ p->pCuts = ALLOC( Csw_Cut_t *, Aig_ManObjNumMax(pMan) );
+ memset( p->pCuts, 0, sizeof(Aig_Obj_t *) * Aig_ManObjNumMax(pMan) );
+ memset( p->pnRefs, 0, sizeof(int) * Aig_ManObjNumMax(pMan) );
+ // allocate memory manager
+ p->nTruthWords = Aig_TruthWordNum(nLeafMax);
+ p->nCutSize = sizeof(Csw_Cut_t) + sizeof(int) * nLeafMax + sizeof(unsigned) * p->nTruthWords;
+ p->pMemCuts = Aig_MmFixedStart( p->nCutSize * p->nCutsMax, 512 );
+ // allocate hash table for cuts
+ p->nTableSize = Aig_PrimeCudd( Aig_ManNodeNum(pMan) * p->nCutsMax / 2 );
+ p->pTable = ALLOC( Csw_Cut_t *, p->nTableSize );
+ memset( p->pTable, 0, sizeof(Aig_Obj_t *) * p->nTableSize );
+ // set the pointers to the available fraig nodes
+ Csw_ObjSetEquiv( p, Aig_ManConst1(p->pManAig), Aig_ManConst1(p->pManRes) );
+ Aig_ManForEachPi( p->pManAig, pObj, i )
+ Csw_ObjSetEquiv( p, pObj, Aig_ManPi(p->pManRes, i) );
+ // room for temporary truth tables
+ p->puTemp[0] = ALLOC( unsigned, 4 * p->nTruthWords );
+ p->puTemp[1] = p->puTemp[0] + p->nTruthWords;
+ p->puTemp[2] = p->puTemp[1] + p->nTruthWords;
+ p->puTemp[3] = p->puTemp[2] + p->nTruthWords;
+ return p;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Stops the fraiging manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Csw_ManStop( Csw_Man_t * p )
+{
+ if ( p->fVerbose )
+ {
+ int nNodesBeg = Aig_ManNodeNum(p->pManAig);
+ int nNodesEnd = Aig_ManNodeNum(p->pManRes);
+ printf( "Beg = %7d. End = %7d. (%6.2f %%) Try = %7d. Cuts = %8d.\n",
+ nNodesBeg, nNodesEnd, 100.0*(nNodesBeg-nNodesEnd)/nNodesBeg,
+ p->nNodesTried, Csw_TableCountCuts( p ) );
+ printf( "Triv0 = %6d. Triv1 = %6d. Triv2 = %6d. Cut-replace = %6d.\n",
+ p->nNodesTriv0, p->nNodesTriv1, p->nNodesTriv2, p->nNodesCuts );
+ PRTP( "Cuts ", p->timeCuts, p->timeTotal );
+ PRTP( "Hashing ", p->timeHash, p->timeTotal );
+ PRTP( "Other ", p->timeOther, p->timeTotal );
+ PRTP( "TOTAL ", p->timeTotal, p->timeTotal );
+ }
+ free( p->puTemp[0] );
+ Aig_MmFixedStop( p->pMemCuts, 0 );
+ free( p->pnRefs );
+ free( p->pEquiv );
+ free( p->pCuts );
+ free( p->pTable );
+ free( p );
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/csw/cswTable.c b/src/aig/csw/cswTable.c
new file mode 100644
index 00000000..87e36ae1
--- /dev/null
+++ b/src/aig/csw/cswTable.c
@@ -0,0 +1,161 @@
+/**CFile****************************************************************
+
+ FileName [cswTable.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [Cut sweeping.]
+
+ Synopsis []
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - July 11, 2007.]
+
+ Revision [$Id: cswTable.c,v 1.00 2007/07/11 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "cswInt.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Computes hash value of the cut.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+unsigned Csw_CutHash( Csw_Cut_t * pCut )
+{
+ static int s_FPrimes[128] = {
+ 1009, 1049, 1093, 1151, 1201, 1249, 1297, 1361, 1427, 1459,
+ 1499, 1559, 1607, 1657, 1709, 1759, 1823, 1877, 1933, 1997,
+ 2039, 2089, 2141, 2213, 2269, 2311, 2371, 2411, 2467, 2543,
+ 2609, 2663, 2699, 2741, 2797, 2851, 2909, 2969, 3037, 3089,
+ 3169, 3221, 3299, 3331, 3389, 3461, 3517, 3557, 3613, 3671,
+ 3719, 3779, 3847, 3907, 3943, 4013, 4073, 4129, 4201, 4243,
+ 4289, 4363, 4441, 4493, 4549, 4621, 4663, 4729, 4793, 4871,
+ 4933, 4973, 5021, 5087, 5153, 5227, 5281, 5351, 5417, 5471,
+ 5519, 5573, 5651, 5693, 5749, 5821, 5861, 5923, 6011, 6073,
+ 6131, 6199, 6257, 6301, 6353, 6397, 6481, 6563, 6619, 6689,
+ 6737, 6803, 6863, 6917, 6977, 7027, 7109, 7187, 7237, 7309,
+ 7393, 7477, 7523, 7561, 7607, 7681, 7727, 7817, 7877, 7933,
+ 8011, 8039, 8059, 8081, 8093, 8111, 8123, 8147
+ };
+ unsigned uHash;
+ int i;
+ assert( pCut->nFanins <= 16 );
+ uHash = 0;
+ for ( i = 0; i < pCut->nFanins; i++ )
+ uHash ^= pCut->pFanins[i] * s_FPrimes[i];
+ return uHash;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns the total number of cuts in the table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Csw_TableCountCuts( Csw_Man_t * p )
+{
+ Csw_Cut_t * pEnt;
+ int i, Counter = 0;
+ for ( i = 0; i < p->nTableSize; i++ )
+ for ( pEnt = p->pTable[i]; pEnt; pEnt = pEnt->pNext )
+ Counter++;
+ return Counter;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Adds the cut to the hash table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Csw_TableCutInsert( Csw_Man_t * p, Csw_Cut_t * pCut )
+{
+ int iEntry = Csw_CutHash(pCut) % p->nTableSize;
+ pCut->pNext = p->pTable[iEntry];
+ p->pTable[iEntry] = pCut;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns an equivalent node if it exists.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Obj_t * Csw_TableCutLookup( Csw_Man_t * p, Csw_Cut_t * pCut )
+{
+ Aig_Obj_t * pRes = NULL;
+ Csw_Cut_t * pEnt;
+ unsigned * pTruthNew, * pTruthOld;
+ int iEntry = Csw_CutHash(pCut) % p->nTableSize;
+ for ( pEnt = p->pTable[iEntry]; pEnt; pEnt = pEnt->pNext )
+ {
+ if ( pEnt->nFanins != pCut->nFanins )
+ continue;
+ if ( pEnt->uSign != pCut->uSign )
+ continue;
+ if ( memcmp( pEnt->pFanins, pCut->pFanins, sizeof(int) * pCut->nFanins ) )
+ continue;
+ pTruthOld = Csw_CutTruth(pEnt);
+ pTruthNew = Csw_CutTruth(pCut);
+ if ( (pTruthOld[0] & 1) == (pTruthNew[0] & 1) )
+ {
+ if ( Kit_TruthIsEqual( pTruthOld, pTruthNew, pCut->nFanins ) )
+ {
+ pRes = Aig_ManObj( p->pManRes, pEnt->iNode );
+ assert( pRes->fPhase == Aig_ManObj( p->pManRes, pCut->iNode )->fPhase );
+ break;
+ }
+ }
+ else
+ {
+ if ( Kit_TruthIsOpposite( pTruthOld, pTruthNew, pCut->nFanins ) )
+ {
+ pRes = Aig_Not( Aig_ManObj( p->pManRes, pEnt->iNode ) );
+ assert( Aig_Regular(pRes)->fPhase != Aig_ManObj( p->pManRes, pCut->iNode )->fPhase );
+ break;
+ }
+ }
+ }
+ return pRes;
+}
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/csw/csw_.c b/src/aig/csw/csw_.c
new file mode 100644
index 00000000..1c59f152
--- /dev/null
+++ b/src/aig/csw/csw_.c
@@ -0,0 +1,48 @@
+/**CFile****************************************************************
+
+ FileName [csw_.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [Cut sweeping.]
+
+ Synopsis []
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - July 11, 2007.]
+
+ Revision [$Id: csw_.c,v 1.00 2007/07/11 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "cswInt.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/csw/module.make b/src/aig/csw/module.make
new file mode 100644
index 00000000..8fdb7bef
--- /dev/null
+++ b/src/aig/csw/module.make
@@ -0,0 +1,4 @@
+SRC += src/aig/csw/cswCore.c \
+ src/aig/csw/cswCut.c \
+ src/aig/csw/cswMan.c \
+ src/aig/csw/cswTable.c
diff --git a/src/aig/dar/dar.h b/src/aig/dar/dar.h
new file mode 100644
index 00000000..2a4fcaf3
--- /dev/null
+++ b/src/aig/dar/dar.h
@@ -0,0 +1,106 @@
+/**CFile****************************************************************
+
+ FileName [dar.h]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [DAG-aware AIG rewriting.]
+
+ Synopsis [External declarations.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - April 28, 2007.]
+
+ Revision [$Id: dar.h,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#ifndef __DAR_H__
+#define __DAR_H__
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+////////////////////////////////////////////////////////////////////////
+/// INCLUDES ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// PARAMETERS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// BASIC TYPES ///
+////////////////////////////////////////////////////////////////////////
+
+typedef struct Dar_RwrPar_t_ Dar_RwrPar_t;
+typedef struct Dar_RefPar_t_ Dar_RefPar_t;
+
+struct Dar_RwrPar_t_
+{
+ int nCutsMax; // the maximum number of cuts to try
+ int nSubgMax; // the maximum number of subgraphs to try
+ int fFanout; // support fanout representation
+ int fUpdateLevel; // update level
+ int fUseZeros; // performs zero-cost replacement
+ int fVerbose; // enables verbose output
+ int fVeryVerbose; // enables very verbose output
+};
+
+struct Dar_RefPar_t_
+{
+ int nMffcMin; // the min MFFC size for which refactoring is used
+ int nLeafMax; // the max number of leaves of a cut
+ int nCutsMax; // the max number of cuts to consider
+ int fExtend; // extends the cut below MFFC
+ int fUpdateLevel; // updates the level after each move
+ int fUseZeros; // perform zero-cost replacements
+ int fVerbose; // verbosity level
+ int fVeryVerbose; // enables very verbose output
+};
+
+////////////////////////////////////////////////////////////////////////
+/// MACRO DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// ITERATORS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/*=== darLib.c ========================================================*/
+extern void Dar_LibStart();
+extern void Dar_LibStop();
+/*=== darBalance.c ========================================================*/
+extern Aig_Man_t * Dar_ManBalance( Aig_Man_t * p, int fUpdateLevel );
+/*=== darCore.c ========================================================*/
+extern void Dar_ManDefaultRwrParams( Dar_RwrPar_t * pPars );
+extern int Dar_ManRewrite( Aig_Man_t * pAig, Dar_RwrPar_t * pPars );
+extern Aig_MmFixed_t * Dar_ManComputeCuts( Aig_Man_t * pAig, int nCutsMax );
+/*=== darRefact.c ========================================================*/
+extern void Dar_ManDefaultRefParams( Dar_RefPar_t * pPars );
+extern int Dar_ManRefactor( Aig_Man_t * pAig, Dar_RefPar_t * pPars );
+/*=== darScript.c ========================================================*/
+extern Aig_Man_t * Dar_ManRewriteDefault( Aig_Man_t * pAig );
+extern Aig_Man_t * Dar_ManRwsat( Aig_Man_t * pAig, int fBalance, int fVerbose );
+extern Aig_Man_t * Dar_ManCompress( Aig_Man_t * pAig, int fBalance, int fUpdateLevel, int fVerbose );
+extern Aig_Man_t * Dar_ManCompress2( Aig_Man_t * pAig, int fBalance, int fUpdateLevel, int fVerbose );
+extern Aig_Man_t * Dar_ManChoice( Aig_Man_t * pAig, int fBalance, int fUpdateLevel, int fVerbose );
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
diff --git a/src/aig/dar/darBalance.c b/src/aig/dar/darBalance.c
new file mode 100644
index 00000000..b3c5d645
--- /dev/null
+++ b/src/aig/dar/darBalance.c
@@ -0,0 +1,400 @@
+/**CFile****************************************************************
+
+ FileName [darBalance.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [DAG-aware AIG rewriting.]
+
+ Synopsis [Algebraic AIG balancing.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - April 28, 2007.]
+
+ Revision [$Id: darBalance.c,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "darInt.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+static Aig_Obj_t * Dar_Balance_rec( Aig_Man_t * pNew, Aig_Obj_t * pObj, Vec_Vec_t * vStore, int Level, int fUpdateLevel );
+static Vec_Ptr_t * Dar_BalanceCone( Aig_Obj_t * pObj, Vec_Vec_t * vStore, int Level );
+static int Dar_BalanceFindLeft( Vec_Ptr_t * vSuper );
+static void Dar_BalancePermute( Aig_Man_t * p, Vec_Ptr_t * vSuper, int LeftBound, int fExor );
+static void Dar_BalancePushUniqueOrderByLevel( Vec_Ptr_t * vStore, Aig_Obj_t * pObj );
+static Aig_Obj_t * Dar_BalanceBuildSuper( Aig_Man_t * p, Vec_Ptr_t * vSuper, Aig_Type_t Type, int fUpdateLevel );
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Performs algebraic balancing of the AIG.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Man_t * Dar_ManBalance( Aig_Man_t * p, int fUpdateLevel )
+{
+ Aig_Man_t * pNew;
+ Aig_Obj_t * pObj, * pDriver, * pObjNew;
+ Vec_Vec_t * vStore;
+ int i;
+ // create the new manager
+ pNew = Aig_ManStart( Aig_ManObjNumMax(p) );
+ pNew->pName = Aig_UtilStrsav( p->pName );
+ pNew->nRegs = p->nRegs;
+ pNew->nAsserts = p->nAsserts;
+ if ( p->vFlopNums )
+ pNew->vFlopNums = Vec_IntDup( p->vFlopNums );
+ // map the PI nodes
+ Aig_ManCleanData( p );
+ Aig_ManConst1(p)->pData = Aig_ManConst1(pNew);
+ Aig_ManForEachPi( p, pObj, i )
+ pObj->pData = Aig_ObjCreatePi(pNew);
+ // balance the AIG
+ vStore = Vec_VecAlloc( 50 );
+ Aig_ManForEachPo( p, pObj, i )
+ {
+ pDriver = Aig_ObjReal_rec( Aig_ObjChild0(pObj) );
+ pObjNew = Dar_Balance_rec( pNew, Aig_Regular(pDriver), vStore, 0, fUpdateLevel );
+ pObjNew = Aig_NotCond( pObjNew, Aig_IsComplement(pDriver) );
+ Aig_ObjCreatePo( pNew, pObjNew );
+ }
+ Vec_VecFree( vStore );
+ // remove dangling nodes
+ if ( (i = Aig_ManCleanup( pNew )) )
+ {
+// printf( "Cleanup after balancing removed %d dangling nodes.\n", i );
+ }
+ // check the resulting AIG
+ if ( !Aig_ManCheck(pNew) )
+ printf( "Dar_ManBalance(): The check has failed.\n" );
+ return pNew;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns the new node constructed.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Obj_t * Dar_Balance_rec( Aig_Man_t * pNew, Aig_Obj_t * pObjOld, Vec_Vec_t * vStore, int Level, int fUpdateLevel )
+{
+ Aig_Obj_t * pObjNew;
+ Vec_Ptr_t * vSuper;
+ int i;
+ assert( !Aig_IsComplement(pObjOld) );
+ assert( !Aig_ObjIsBuf(pObjOld) );
+ // return if the result is known
+ if ( pObjOld->pData )
+ return pObjOld->pData;
+ assert( Aig_ObjIsNode(pObjOld) );
+ // get the implication supergate
+ vSuper = Dar_BalanceCone( pObjOld, vStore, Level );
+ // check if supergate contains two nodes in the opposite polarity
+ if ( vSuper->nSize == 0 )
+ return pObjOld->pData = Aig_ManConst0(pNew);
+ if ( Vec_PtrSize(vSuper) < 2 )
+ printf( "BUG!\n" );
+ // for each old node, derive the new well-balanced node
+ for ( i = 0; i < Vec_PtrSize(vSuper); i++ )
+ {
+ pObjNew = Dar_Balance_rec( pNew, Aig_Regular(vSuper->pArray[i]), vStore, Level + 1, fUpdateLevel );
+ vSuper->pArray[i] = Aig_NotCond( pObjNew, Aig_IsComplement(vSuper->pArray[i]) );
+ }
+ // build the supergate
+ pObjNew = Dar_BalanceBuildSuper( pNew, vSuper, Aig_ObjType(pObjOld), fUpdateLevel );
+ // make sure the balanced node is not assigned
+// assert( pObjOld->Level >= Aig_Regular(pObjNew)->Level );
+ assert( pObjOld->pData == NULL );
+ return pObjOld->pData = pObjNew;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Collects the nodes of the supergate.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Dar_BalanceCone_rec( Aig_Obj_t * pRoot, Aig_Obj_t * pObj, Vec_Ptr_t * vSuper )
+{
+ int RetValue1, RetValue2, i;
+ // check if the node is visited
+ if ( Aig_Regular(pObj)->fMarkB )
+ {
+ // check if the node occurs in the same polarity
+ for ( i = 0; i < vSuper->nSize; i++ )
+ if ( vSuper->pArray[i] == pObj )
+ return 1;
+ // check if the node is present in the opposite polarity
+ for ( i = 0; i < vSuper->nSize; i++ )
+ if ( vSuper->pArray[i] == Aig_Not(pObj) )
+ return -1;
+ assert( 0 );
+ return 0;
+ }
+ // if the new node is complemented or a PI, another gate begins
+ if ( pObj != pRoot && (Aig_IsComplement(pObj) || Aig_ObjType(pObj) != Aig_ObjType(pRoot) || Aig_ObjRefs(pObj) > 1) )
+ {
+ Vec_PtrPush( vSuper, pObj );
+ Aig_Regular(pObj)->fMarkB = 1;
+ return 0;
+ }
+ assert( !Aig_IsComplement(pObj) );
+ assert( Aig_ObjIsNode(pObj) );
+ // go through the branches
+ RetValue1 = Dar_BalanceCone_rec( pRoot, Aig_ObjReal_rec( Aig_ObjChild0(pObj) ), vSuper );
+ RetValue2 = Dar_BalanceCone_rec( pRoot, Aig_ObjReal_rec( Aig_ObjChild1(pObj) ), vSuper );
+ if ( RetValue1 == -1 || RetValue2 == -1 )
+ return -1;
+ // return 1 if at least one branch has a duplicate
+ return RetValue1 || RetValue2;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Collects the nodes of the supergate.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Vec_Ptr_t * Dar_BalanceCone( Aig_Obj_t * pObj, Vec_Vec_t * vStore, int Level )
+{
+ Vec_Ptr_t * vNodes;
+ int RetValue, i;
+ assert( !Aig_IsComplement(pObj) );
+ // extend the storage
+ if ( Vec_VecSize( vStore ) <= Level )
+ Vec_VecPush( vStore, Level, 0 );
+ // get the temporary array of nodes
+ vNodes = Vec_VecEntry( vStore, Level );
+ Vec_PtrClear( vNodes );
+ // collect the nodes in the implication supergate
+ RetValue = Dar_BalanceCone_rec( pObj, pObj, vNodes );
+ assert( vNodes->nSize > 1 );
+ // unmark the visited nodes
+ Vec_PtrForEachEntry( vNodes, pObj, i )
+ Aig_Regular(pObj)->fMarkB = 0;
+ // if we found the node and its complement in the same implication supergate,
+ // return empty set of nodes (meaning that we should use constant-0 node)
+ if ( RetValue == -1 )
+ vNodes->nSize = 0;
+ return vNodes;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Procedure used for sorting the nodes in decreasing order of levels.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Aig_NodeCompareLevelsDecrease( Aig_Obj_t ** pp1, Aig_Obj_t ** pp2 )
+{
+ int Diff = Aig_ObjLevel(Aig_Regular(*pp1)) - Aig_ObjLevel(Aig_Regular(*pp2));
+ if ( Diff > 0 )
+ return -1;
+ if ( Diff < 0 )
+ return 1;
+ return 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Builds implication supergate.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Obj_t * Dar_BalanceBuildSuper( Aig_Man_t * p, Vec_Ptr_t * vSuper, Aig_Type_t Type, int fUpdateLevel )
+{
+ Aig_Obj_t * pObj1, * pObj2;
+ int LeftBound;
+ assert( vSuper->nSize > 1 );
+ // sort the new nodes by level in the decreasing order
+ Vec_PtrSort( vSuper, Aig_NodeCompareLevelsDecrease );
+ // balance the nodes
+ while ( vSuper->nSize > 1 )
+ {
+ // find the left bound on the node to be paired
+ LeftBound = (!fUpdateLevel)? 0 : Dar_BalanceFindLeft( vSuper );
+ // find the node that can be shared (if no such node, randomize choice)
+ Dar_BalancePermute( p, vSuper, LeftBound, Type == AIG_OBJ_EXOR );
+ // pull out the last two nodes
+ pObj1 = Vec_PtrPop(vSuper);
+ pObj2 = Vec_PtrPop(vSuper);
+ Dar_BalancePushUniqueOrderByLevel( vSuper, Aig_Oper(p, pObj1, pObj2, Type) );
+ }
+ return Vec_PtrEntry(vSuper, 0);
+}
+
+/**Function*************************************************************
+
+ Synopsis [Finds the left bound on the next candidate to be paired.]
+
+ Description [The nodes in the array are in the decreasing order of levels.
+ The last node in the array has the smallest level. By default it would be paired
+ with the next node on the left. However, it may be possible to pair it with some
+ other node on the left, in such a way that the new node is shared. This procedure
+ finds the index of the left-most node, which can be paired with the last node.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Dar_BalanceFindLeft( Vec_Ptr_t * vSuper )
+{
+ Aig_Obj_t * pObjRight, * pObjLeft;
+ int Current;
+ // if two or less nodes, pair with the first
+ if ( Vec_PtrSize(vSuper) < 3 )
+ return 0;
+ // set the pointer to the one before the last
+ Current = Vec_PtrSize(vSuper) - 2;
+ pObjRight = Vec_PtrEntry( vSuper, Current );
+ // go through the nodes to the left of this one
+ for ( Current--; Current >= 0; Current-- )
+ {
+ // get the next node on the left
+ pObjLeft = Vec_PtrEntry( vSuper, Current );
+ // if the level of this node is different, quit the loop
+ if ( Aig_ObjLevel(Aig_Regular(pObjLeft)) != Aig_ObjLevel(Aig_Regular(pObjRight)) )
+ break;
+ }
+ Current++;
+ // get the node, for which the equality holds
+ pObjLeft = Vec_PtrEntry( vSuper, Current );
+ assert( Aig_ObjLevel(Aig_Regular(pObjLeft)) == Aig_ObjLevel(Aig_Regular(pObjRight)) );
+ return Current;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Moves closer to the end the node that is best for sharing.]
+
+ Description [If there is no node with sharing, randomly chooses one of
+ the legal nodes.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Dar_BalancePermute( Aig_Man_t * p, Vec_Ptr_t * vSuper, int LeftBound, int fExor )
+{
+ Aig_Obj_t * pObj1, * pObj2, * pObj3, * pGhost;
+ int RightBound, i;
+ // get the right bound
+ RightBound = Vec_PtrSize(vSuper) - 2;
+ assert( LeftBound <= RightBound );
+ if ( LeftBound == RightBound )
+ return;
+ // get the two last nodes
+ pObj1 = Vec_PtrEntry( vSuper, RightBound + 1 );
+ pObj2 = Vec_PtrEntry( vSuper, RightBound );
+ if ( Aig_Regular(pObj1) == p->pConst1 || Aig_Regular(pObj2) == p->pConst1 )
+ return;
+ // find the first node that can be shared
+ for ( i = RightBound; i >= LeftBound; i-- )
+ {
+ pObj3 = Vec_PtrEntry( vSuper, i );
+ if ( Aig_Regular(pObj3) == p->pConst1 )
+ {
+ Vec_PtrWriteEntry( vSuper, i, pObj2 );
+ Vec_PtrWriteEntry( vSuper, RightBound, pObj3 );
+ return;
+ }
+ pGhost = Aig_ObjCreateGhost( p, pObj1, pObj3, fExor? AIG_OBJ_EXOR : AIG_OBJ_AND );
+ if ( Aig_TableLookup( p, pGhost ) )
+ {
+ if ( pObj3 == pObj2 )
+ return;
+ Vec_PtrWriteEntry( vSuper, i, pObj2 );
+ Vec_PtrWriteEntry( vSuper, RightBound, pObj3 );
+ return;
+ }
+ }
+/*
+ // we did not find the node to share, randomize choice
+ {
+ int Choice = rand() % (RightBound - LeftBound + 1);
+ pObj3 = Vec_PtrEntry( vSuper, LeftBound + Choice );
+ if ( pObj3 == pObj2 )
+ return;
+ Vec_PtrWriteEntry( vSuper, LeftBound + Choice, pObj2 );
+ Vec_PtrWriteEntry( vSuper, RightBound, pObj3 );
+ }
+*/
+}
+
+/**Function*************************************************************
+
+ Synopsis [Inserts a new node in the order by levels.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Dar_BalancePushUniqueOrderByLevel( Vec_Ptr_t * vStore, Aig_Obj_t * pObj )
+{
+ Aig_Obj_t * pObj1, * pObj2;
+ int i;
+ if ( Vec_PtrPushUnique(vStore, pObj) )
+ return;
+ // find the p of the node
+ for ( i = vStore->nSize-1; i > 0; i-- )
+ {
+ pObj1 = vStore->pArray[i ];
+ pObj2 = vStore->pArray[i-1];
+ if ( Aig_ObjLevel(Aig_Regular(pObj1)) <= Aig_ObjLevel(Aig_Regular(pObj2)) )
+ break;
+ vStore->pArray[i ] = pObj2;
+ vStore->pArray[i-1] = pObj1;
+ }
+}
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/dar/darCore.c b/src/aig/dar/darCore.c
new file mode 100644
index 00000000..f4041dd1
--- /dev/null
+++ b/src/aig/dar/darCore.c
@@ -0,0 +1,244 @@
+/**CFile****************************************************************
+
+ FileName [darCore.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [DAG-aware AIG rewriting.]
+
+ Synopsis [Core of the rewriting package.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - April 28, 2007.]
+
+ Revision [$Id: darCore.c,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "darInt.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Returns the structure with default assignment of parameters.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Dar_ManDefaultRwrParams( Dar_RwrPar_t * pPars )
+{
+ memset( pPars, 0, sizeof(Dar_RwrPar_t) );
+ pPars->nCutsMax = 8; // 8
+ pPars->nSubgMax = 5; // 5 is a "magic number"
+ pPars->fFanout = 1;
+ pPars->fUpdateLevel = 0;
+ pPars->fUseZeros = 0;
+ pPars->fVerbose = 0;
+ pPars->fVeryVerbose = 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Dar_ManRewrite( Aig_Man_t * pAig, Dar_RwrPar_t * pPars )
+{
+ Dar_Man_t * p;
+// Bar_Progress_t * pProgress;
+ Dar_Cut_t * pCut;
+ Aig_Obj_t * pObj, * pObjNew;
+ int i, k, nNodesOld, nNodeBefore, nNodeAfter, Required;
+ int clk = 0, clkStart;
+ // prepare the library
+ Dar_LibPrepare( pPars->nSubgMax );
+ // create rewriting manager
+ p = Dar_ManStart( pAig, pPars );
+ // remove dangling nodes
+ Aig_ManCleanup( pAig );
+ // if updating levels is requested, start fanout and timing
+ if ( p->pPars->fFanout )
+ Aig_ManFanoutStart( pAig );
+ if ( p->pPars->fUpdateLevel )
+ Aig_ManStartReverseLevels( pAig, 0 );
+ // set elementary cuts for the PIs
+ Dar_ManCutsStart( p );
+ // resynthesize each node once
+ clkStart = clock();
+ p->nNodesInit = Aig_ManNodeNum(pAig);
+ nNodesOld = Vec_PtrSize( pAig->vObjs );
+
+// pProgress = Bar_ProgressStart( stdout, nNodesOld );
+ Aig_ManForEachObj( pAig, pObj, i )
+// pProgress = Bar_ProgressStart( stdout, 100 );
+// Aig_ManOrderStart( pAig );
+// Aig_ManForEachNodeInOrder( pAig, pObj )
+ {
+// Bar_ProgressUpdate( pProgress, 100*pAig->nAndPrev/pAig->nAndTotal, NULL );
+
+// Bar_ProgressUpdate( pProgress, i, NULL );
+ if ( !Aig_ObjIsNode(pObj) )
+ continue;
+ if ( i > nNodesOld )
+ break;
+
+ // consider freeing the cuts
+// if ( (i & 0xFFF) == 0 && Aig_MmFixedReadMemUsage(p->pMemCuts)/(1<<20) > 100 )
+// Dar_ManCutsStart( p );
+
+ // compute cuts for the node
+ p->nNodesTried++;
+clk = clock();
+ Dar_ObjComputeCuts_rec( p, pObj );
+p->timeCuts += clock() - clk;
+
+ // check if there is a trivial cut
+ Dar_ObjForEachCut( pObj, pCut, k )
+ if ( pCut->nLeaves == 0 || (pCut->nLeaves == 1 && pCut->pLeaves[0] != pObj->Id && Aig_ManObj(p->pAig, pCut->pLeaves[0])) )
+ break;
+ if ( k < (int)pObj->nCuts )
+ {
+ assert( pCut->nLeaves < 2 );
+ if ( pCut->nLeaves == 0 ) // replace by constant
+ {
+ assert( pCut->uTruth == 0 || pCut->uTruth == 0xFFFF );
+ pObjNew = Aig_NotCond( Aig_ManConst1(p->pAig), pCut->uTruth==0 );
+ }
+ else
+ {
+ assert( pCut->uTruth == 0xAAAA || pCut->uTruth == 0x5555 );
+ pObjNew = Aig_NotCond( Aig_ManObj(p->pAig, pCut->pLeaves[0]), pCut->uTruth==0x5555 );
+ }
+ // remove the old cuts
+ Dar_ObjSetCuts( pObj, NULL );
+ // replace the node
+ Aig_ObjReplace( pAig, pObj, pObjNew, 1, p->pPars->fUpdateLevel );
+ continue;
+ }
+
+ // evaluate the cuts
+ p->GainBest = -1;
+ Required = pAig->vLevelR? Aig_ObjRequiredLevel(pAig, pObj) : AIG_INFINITY;
+ Dar_ObjForEachCut( pObj, pCut, k )
+ Dar_LibEval( p, pObj, pCut, Required );
+ // check the best gain
+ if ( !(p->GainBest > 0 || (p->GainBest == 0 && p->pPars->fUseZeros)) )
+ {
+// Aig_ObjOrderAdvance( pAig );
+ continue;
+ }
+ // remove the old cuts
+ Dar_ObjSetCuts( pObj, NULL );
+ // if we end up here, a rewriting step is accepted
+ nNodeBefore = Aig_ManNodeNum( pAig );
+ pObjNew = Dar_LibBuildBest( p ); // pObjNew can be complemented!
+ pObjNew = Aig_NotCond( pObjNew, Aig_ObjPhaseReal(pObjNew) ^ pObj->fPhase );
+ assert( (int)Aig_Regular(pObjNew)->Level <= Required );
+ // replace the node
+ Aig_ObjReplace( pAig, pObj, pObjNew, 1, p->pPars->fUpdateLevel );
+ // compare the gains
+ nNodeAfter = Aig_ManNodeNum( pAig );
+ assert( p->GainBest <= nNodeBefore - nNodeAfter );
+ // count gains of this class
+ p->ClassGains[p->ClassBest] += nNodeBefore - nNodeAfter;
+ }
+// Aig_ManOrderStop( pAig );
+
+p->timeTotal = clock() - clkStart;
+p->timeOther = p->timeTotal - p->timeCuts - p->timeEval;
+
+// Bar_ProgressStop( pProgress );
+ p->nCutMemUsed = Aig_MmFixedReadMemUsage(p->pMemCuts)/(1<<20);
+ Dar_ManCutsFree( p );
+ // put the nodes into the DFS order and reassign their IDs
+// Aig_NtkReassignIds( p );
+ // fix the levels
+// Aig_ManVerifyLevel( pAig );
+ if ( p->pPars->fFanout )
+ Aig_ManFanoutStop( pAig );
+ if ( p->pPars->fUpdateLevel )
+ {
+// Aig_ManVerifyReverseLevel( pAig );
+ Aig_ManStopReverseLevels( pAig );
+ }
+ // stop the rewriting manager
+ Dar_ManStop( p );
+ Aig_ManCheckPhase( pAig );
+ // check
+ if ( !Aig_ManCheck( pAig ) )
+ {
+ printf( "Aig_ManRewrite: The network check has failed.\n" );
+ return 0;
+ }
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_MmFixed_t * Dar_ManComputeCuts( Aig_Man_t * pAig, int nCutsMax )
+{
+ Dar_Man_t * p;
+ Dar_RwrPar_t Pars, * pPars = &Pars;
+ Aig_Obj_t * pObj;
+ Aig_MmFixed_t * pMemCuts;
+ int i, nNodes;
+ // remove dangling nodes
+ if ( (nNodes = Aig_ManCleanup( pAig )) )
+ {
+// printf( "Removing %d nodes.\n", nNodes );
+ }
+ // create default parameters
+ Dar_ManDefaultRwrParams( pPars );
+ pPars->nCutsMax = nCutsMax;
+ // create rewriting manager
+ p = Dar_ManStart( pAig, pPars );
+ // set elementary cuts for the PIs
+ Dar_ManCutsStart( p );
+ // compute cuts for each nodes in the topological order
+ Aig_ManForEachNode( pAig, pObj, i )
+ Dar_ObjComputeCuts( p, pObj );
+ // free the cuts
+ pMemCuts = p->pMemCuts;
+ p->pMemCuts = NULL;
+// Dar_ManCutsFree( p );
+ // stop the rewriting manager
+ Dar_ManStop( p );
+ return pMemCuts;
+}
+
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/dar/darCut.c b/src/aig/dar/darCut.c
new file mode 100644
index 00000000..08bd77a9
--- /dev/null
+++ b/src/aig/dar/darCut.c
@@ -0,0 +1,698 @@
+/**CFile****************************************************************
+
+ FileName [darCut.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [DAG-aware AIG rewriting.]
+
+ Synopsis [Computation of 4-input cuts.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - April 28, 2007.]
+
+ Revision [$Id: darCut.c,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "darInt.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Returns the number of 1s in the machine word.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int Dar_WordCountOnes( unsigned uWord )
+{
+ uWord = (uWord & 0x55555555) + ((uWord>>1) & 0x55555555);
+ uWord = (uWord & 0x33333333) + ((uWord>>2) & 0x33333333);
+ uWord = (uWord & 0x0F0F0F0F) + ((uWord>>4) & 0x0F0F0F0F);
+ uWord = (uWord & 0x00FF00FF) + ((uWord>>8) & 0x00FF00FF);
+ return (uWord & 0x0000FFFF) + (uWord>>16);
+}
+
+/**Function*************************************************************
+
+ Synopsis [Compute the cost of the cut.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int Dar_CutFindValue( Dar_Man_t * p, Dar_Cut_t * pCut )
+{
+ Aig_Obj_t * pLeaf;
+ int i, Value, nOnes;
+ assert( pCut->fUsed );
+ Value = 0;
+ nOnes = 0;
+ Dar_CutForEachLeaf( p->pAig, pCut, pLeaf, i )
+ {
+ if ( pLeaf == NULL )
+ return 0;
+ assert( pLeaf != NULL );
+ Value += pLeaf->nRefs;
+ nOnes += (pLeaf->nRefs == 1);
+ }
+ if ( pCut->nLeaves < 2 )
+ return 1001;
+// Value = Value * 100 / pCut->nLeaves;
+ if ( Value > 1000 )
+ Value = 1000;
+ if ( nOnes > 3 )
+ Value = 5 - nOnes;
+ return Value;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns the next free cut to use.]
+
+ Description [Uses the cut with the smallest value.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline Dar_Cut_t * Dar_CutFindFree( Dar_Man_t * p, Aig_Obj_t * pObj )
+{
+ Dar_Cut_t * pCut, * pCutMax;
+ int i;
+ pCutMax = NULL;
+ Dar_ObjForEachCutAll( pObj, pCut, i )
+ {
+ if ( pCut->fUsed == 0 )
+ return pCut;
+ if ( pCut->nLeaves < 3 )
+ continue;
+ if ( pCutMax == NULL || pCutMax->Value > pCut->Value )
+ pCutMax = pCut;
+ }
+ if ( pCutMax == NULL )
+ {
+ Dar_ObjForEachCutAll( pObj, pCut, i )
+ {
+ if ( pCut->nLeaves < 2 )
+ continue;
+ if ( pCutMax == NULL || pCutMax->Value > pCut->Value )
+ pCutMax = pCut;
+ }
+ }
+ if ( pCutMax == NULL )
+ {
+ Dar_ObjForEachCutAll( pObj, pCut, i )
+ {
+ if ( pCutMax == NULL || pCutMax->Value > pCut->Value )
+ pCutMax = pCut;
+ }
+ }
+ assert( pCutMax != NULL );
+ pCutMax->fUsed = 0;
+ return pCutMax;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns 1 if pDom is contained in pCut.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int Dar_CutCheckDominance( Dar_Cut_t * pDom, Dar_Cut_t * pCut )
+{
+ int i, k;
+ assert( pDom->fUsed && pCut->fUsed );
+ for ( i = 0; i < (int)pDom->nLeaves; i++ )
+ {
+ for ( k = 0; k < (int)pCut->nLeaves; k++ )
+ if ( pDom->pLeaves[i] == pCut->pLeaves[k] )
+ break;
+ if ( k == (int)pCut->nLeaves ) // node i in pDom is not contained in pCut
+ return 0;
+ }
+ // every node in pDom is contained in pCut
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns 1 if the cut is contained.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int Dar_CutFilter( Aig_Obj_t * pObj, Dar_Cut_t * pCut )
+{
+ Dar_Cut_t * pTemp;
+ int i;
+ assert( pCut->fUsed );
+ // go through the cuts of the node
+ Dar_ObjForEachCut( pObj, pTemp, i )
+ {
+ if ( pTemp == pCut )
+ continue;
+ if ( pTemp->nLeaves > pCut->nLeaves )
+ {
+ // skip the non-contained cuts
+ if ( (pTemp->uSign & pCut->uSign) != pCut->uSign )
+ continue;
+ // check containment seriously
+ if ( Dar_CutCheckDominance( pCut, pTemp ) )
+ {
+ // remove contained cut
+ pTemp->fUsed = 0;
+ }
+ }
+ else
+ {
+ // skip the non-contained cuts
+ if ( (pTemp->uSign & pCut->uSign) != pTemp->uSign )
+ continue;
+ // check containment seriously
+ if ( Dar_CutCheckDominance( pTemp, pCut ) )
+ {
+ // remove the given cut
+ pCut->fUsed = 0;
+ return 1;
+ }
+ }
+ }
+ return 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Merges two cuts.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int Dar_CutMergeOrdered( Dar_Cut_t * pC, Dar_Cut_t * pC0, Dar_Cut_t * pC1 )
+{
+ int i, k, c;
+ assert( pC0->nLeaves >= pC1->nLeaves );
+
+ // the case of the largest cut sizes
+ if ( pC0->nLeaves == 4 && pC1->nLeaves == 4 )
+ {
+ if ( pC0->uSign != pC1->uSign )
+ return 0;
+ for ( i = 0; i < (int)pC0->nLeaves; i++ )
+ if ( pC0->pLeaves[i] != pC1->pLeaves[i] )
+ return 0;
+ for ( i = 0; i < (int)pC0->nLeaves; i++ )
+ pC->pLeaves[i] = pC0->pLeaves[i];
+ pC->nLeaves = pC0->nLeaves;
+ return 1;
+ }
+
+ // the case when one of the cuts is the largest
+ if ( pC0->nLeaves == 4 )
+ {
+ if ( (pC0->uSign & pC1->uSign) != pC1->uSign )
+ return 0;
+ for ( i = 0; i < (int)pC1->nLeaves; i++ )
+ {
+ for ( k = (int)pC0->nLeaves - 1; k >= 0; k-- )
+ if ( pC0->pLeaves[k] == pC1->pLeaves[i] )
+ break;
+ if ( k == -1 ) // did not find
+ return 0;
+ }
+ for ( i = 0; i < (int)pC0->nLeaves; i++ )
+ pC->pLeaves[i] = pC0->pLeaves[i];
+ pC->nLeaves = pC0->nLeaves;
+ return 1;
+ }
+
+ // compare two cuts with different numbers
+ i = k = 0;
+ for ( c = 0; c < 4; c++ )
+ {
+ if ( k == (int)pC1->nLeaves )
+ {
+ if ( i == (int)pC0->nLeaves )
+ {
+ pC->nLeaves = c;
+ return 1;
+ }
+ pC->pLeaves[c] = pC0->pLeaves[i++];
+ continue;
+ }
+ if ( i == (int)pC0->nLeaves )
+ {
+ if ( k == (int)pC1->nLeaves )
+ {
+ pC->nLeaves = c;
+ return 1;
+ }
+ pC->pLeaves[c] = pC1->pLeaves[k++];
+ continue;
+ }
+ if ( pC0->pLeaves[i] < pC1->pLeaves[k] )
+ {
+ pC->pLeaves[c] = pC0->pLeaves[i++];
+ continue;
+ }
+ if ( pC0->pLeaves[i] > pC1->pLeaves[k] )
+ {
+ pC->pLeaves[c] = pC1->pLeaves[k++];
+ continue;
+ }
+ pC->pLeaves[c] = pC0->pLeaves[i++];
+ k++;
+ }
+ if ( i < (int)pC0->nLeaves || k < (int)pC1->nLeaves )
+ return 0;
+ pC->nLeaves = c;
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Prepares the object for FPGA mapping.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int Dar_CutMerge( Dar_Cut_t * pCut, Dar_Cut_t * pCut0, Dar_Cut_t * pCut1 )
+{
+ assert( !pCut->fUsed );
+ // merge the nodes
+ if ( pCut0->nLeaves <= pCut1->nLeaves )
+ {
+ if ( !Dar_CutMergeOrdered( pCut, pCut1, pCut0 ) )
+ return 0;
+ }
+ else
+ {
+ if ( !Dar_CutMergeOrdered( pCut, pCut0, pCut1 ) )
+ return 0;
+ }
+ pCut->uSign = pCut0->uSign | pCut1->uSign;
+ pCut->fUsed = 1;
+ return 1;
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Computes the stretching phase of the cut w.r.t. the merged cut.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline unsigned Dar_CutTruthPhase( Dar_Cut_t * pCut, Dar_Cut_t * pCut1 )
+{
+ unsigned uPhase = 0;
+ int i, k;
+ for ( i = k = 0; i < (int)pCut->nLeaves; i++ )
+ {
+ if ( k == (int)pCut1->nLeaves )
+ break;
+ if ( pCut->pLeaves[i] < pCut1->pLeaves[k] )
+ continue;
+ assert( pCut->pLeaves[i] == pCut1->pLeaves[k] );
+ uPhase |= (1 << i);
+ k++;
+ }
+ return uPhase;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Swaps two advancent variables of the truth table.]
+
+ Description [Swaps variable iVar and iVar+1.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline unsigned Dar_CutTruthSwapAdjacentVars( unsigned uTruth, int iVar )
+{
+ assert( iVar >= 0 && iVar <= 2 );
+ if ( iVar == 0 )
+ return (uTruth & 0x99999999) | ((uTruth & 0x22222222) << 1) | ((uTruth & 0x44444444) >> 1);
+ if ( iVar == 1 )
+ return (uTruth & 0xC3C3C3C3) | ((uTruth & 0x0C0C0C0C) << 2) | ((uTruth & 0x30303030) >> 2);
+ if ( iVar == 2 )
+ return (uTruth & 0xF00FF00F) | ((uTruth & 0x00F000F0) << 4) | ((uTruth & 0x0F000F00) >> 4);
+ assert( 0 );
+ return 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Expands the truth table according to the phase.]
+
+ Description [The input and output truth tables are in pIn/pOut. The current number
+ of variables is nVars. The total number of variables in nVarsAll. The last argument
+ (Phase) contains shows where the variables should go.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline unsigned Dar_CutTruthStretch( unsigned uTruth, int nVars, unsigned Phase )
+{
+ int i, k, Var = nVars - 1;
+ for ( i = 3; i >= 0; i-- )
+ if ( Phase & (1 << i) )
+ {
+ for ( k = Var; k < i; k++ )
+ uTruth = Dar_CutTruthSwapAdjacentVars( uTruth, k );
+ Var--;
+ }
+ assert( Var == -1 );
+ return uTruth;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Shrinks the truth table according to the phase.]
+
+ Description [The input and output truth tables are in pIn/pOut. The current number
+ of variables is nVars. The total number of variables in nVarsAll. The last argument
+ (Phase) contains shows what variables should remain.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline unsigned Dar_CutTruthShrink( unsigned uTruth, int nVars, unsigned Phase )
+{
+ int i, k, Var = 0;
+ for ( i = 0; i < 4; i++ )
+ if ( Phase & (1 << i) )
+ {
+ for ( k = i-1; k >= Var; k-- )
+ uTruth = Dar_CutTruthSwapAdjacentVars( uTruth, k );
+ Var++;
+ }
+ return uTruth;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs truth table computation.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline unsigned Dar_CutTruth( Dar_Cut_t * pCut, Dar_Cut_t * pCut0, Dar_Cut_t * pCut1, int fCompl0, int fCompl1 )
+{
+ unsigned uTruth0 = fCompl0 ? ~pCut0->uTruth : pCut0->uTruth;
+ unsigned uTruth1 = fCompl1 ? ~pCut1->uTruth : pCut1->uTruth;
+ uTruth0 = Dar_CutTruthStretch( uTruth0, pCut0->nLeaves, Dar_CutTruthPhase(pCut, pCut0) );
+ uTruth1 = Dar_CutTruthStretch( uTruth1, pCut1->nLeaves, Dar_CutTruthPhase(pCut, pCut1) );
+ return uTruth0 & uTruth1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Minimize support of the cut.]
+
+ Description [Returns 1 if the node's support has changed]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int Dar_CutSuppMinimize( Dar_Cut_t * pCut )
+{
+ unsigned uMasks[4][2] = {
+ { 0x5555, 0xAAAA },
+ { 0x3333, 0xCCCC },
+ { 0x0F0F, 0xF0F0 },
+ { 0x00FF, 0xFF00 }
+ };
+ unsigned uPhase = 0, uTruth = 0xFFFF & pCut->uTruth;
+ int i, k, nLeaves;
+ assert( pCut->fUsed );
+ // compute the truth support of the cut's function
+ nLeaves = pCut->nLeaves;
+ for ( i = 0; i < (int)pCut->nLeaves; i++ )
+ if ( (uTruth & uMasks[i][0]) == ((uTruth & uMasks[i][1]) >> (1 << i)) )
+ nLeaves--;
+ else
+ uPhase |= (1 << i);
+ if ( nLeaves == (int)pCut->nLeaves )
+ return 0;
+ // shrink the truth table
+ uTruth = Dar_CutTruthShrink( uTruth, pCut->nLeaves, uPhase );
+ pCut->uTruth = 0xFFFF & uTruth;
+ // update leaves and signature
+ pCut->uSign = 0;
+ for ( i = k = 0; i < (int)pCut->nLeaves; i++ )
+ {
+ if ( !(uPhase & (1 << i)) )
+ continue;
+ pCut->pLeaves[k++] = pCut->pLeaves[i];
+ pCut->uSign |= Aig_ObjCutSign( pCut->pLeaves[i] );
+ }
+ assert( k == nLeaves );
+ pCut->nLeaves = nLeaves;
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Dar_ManCutsFree( Dar_Man_t * p )
+{
+ if ( p->pMemCuts == NULL )
+ return;
+ Aig_MmFixedStop( p->pMemCuts, 0 );
+ p->pMemCuts = NULL;
+// Aig_ManCleanData( p );
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Dar_Cut_t * Dar_ObjPrepareCuts( Dar_Man_t * p, Aig_Obj_t * pObj )
+{
+ Dar_Cut_t * pCutSet, * pCut;
+ int i;
+ assert( Dar_ObjCuts(pObj) == NULL );
+ pObj->nCuts = p->pPars->nCutsMax;
+ // create the cutset of the node
+ pCutSet = (Dar_Cut_t *)Aig_MmFixedEntryFetch( p->pMemCuts );
+ Dar_ObjSetCuts( pObj, pCutSet );
+ Dar_ObjForEachCut( pObj, pCut, i )
+ pCut->fUsed = 0;
+ // add unit cut if needed
+ pCut = pCutSet;
+ pCut->fUsed = 1;
+ if ( Aig_ObjIsConst1(pObj) )
+ {
+ pCut->nLeaves = 0;
+ pCut->uSign = 0;
+ pCut->uTruth = 0xFFFF;
+ }
+ else
+ {
+ pCut->nLeaves = 1;
+ pCut->pLeaves[0] = pObj->Id;
+ pCut->uSign = Aig_ObjCutSign( pObj->Id );
+ pCut->uTruth = 0xAAAA;
+ }
+ pCut->Value = Dar_CutFindValue( p, pCut );
+ return pCutSet;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Dar_ManCutsStart( Dar_Man_t * p )
+{
+ Aig_Obj_t * pObj;
+ int i;
+ Aig_ManCleanData( p->pAig );
+ Aig_MmFixedRestart( p->pMemCuts );
+ Dar_ObjPrepareCuts( p, Aig_ManConst1(p->pAig) );
+ Aig_ManForEachPi( p->pAig, pObj, i )
+ Dar_ObjPrepareCuts( p, pObj );
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Dar_Cut_t * Dar_ObjComputeCuts( Dar_Man_t * p, Aig_Obj_t * pObj )
+{
+ Aig_Obj_t * pFanin0 = Aig_ObjReal_rec( Aig_ObjChild0(pObj) );
+ Aig_Obj_t * pFanin1 = Aig_ObjReal_rec( Aig_ObjChild1(pObj) );
+ Aig_Obj_t * pFaninR0 = Aig_Regular(pFanin0);
+ Aig_Obj_t * pFaninR1 = Aig_Regular(pFanin1);
+ Dar_Cut_t * pCutSet, * pCut0, * pCut1, * pCut;
+ int i, k, RetValue;
+
+ assert( !Aig_IsComplement(pObj) );
+ assert( Aig_ObjIsNode(pObj) );
+ assert( Dar_ObjCuts(pObj) == NULL );
+ assert( Dar_ObjCuts(pFaninR0) != NULL );
+ assert( Dar_ObjCuts(pFaninR1) != NULL );
+
+ // set up the first cut
+ pCutSet = Dar_ObjPrepareCuts( p, pObj );
+ // make sure fanins cuts are computed
+ Dar_ObjForEachCut( pFaninR0, pCut0, i )
+ Dar_ObjForEachCut( pFaninR1, pCut1, k )
+ {
+ p->nCutsAll++;
+ // make sure K-feasible cut exists
+ if ( Dar_WordCountOnes(pCut0->uSign | pCut1->uSign) > 4 )
+ continue;
+ // get the next cut of this node
+ pCut = Dar_CutFindFree( p, pObj );
+ // create the new cut
+ if ( !Dar_CutMerge( pCut, pCut0, pCut1 ) )
+ {
+ assert( !pCut->fUsed );
+ continue;
+ }
+ p->nCutsTried++;
+ // check dominance
+ if ( Dar_CutFilter( pObj, pCut ) )
+ {
+ assert( !pCut->fUsed );
+ continue;
+ }
+ // compute truth table
+ pCut->uTruth = 0xFFFF & Dar_CutTruth( pCut, pCut0, pCut1, Aig_IsComplement(pFanin0), Aig_IsComplement(pFanin1) );
+
+ // minimize support of the cut
+ if ( Dar_CutSuppMinimize( pCut ) )
+ {
+ RetValue = Dar_CutFilter( pObj, pCut );
+ assert( !RetValue );
+ }
+
+ // assign the value of the cut
+ pCut->Value = Dar_CutFindValue( p, pCut );
+ // if the cut contains removed node, do not use it
+ if ( pCut->Value == 0 )
+ {
+ p->nCutsSkipped++;
+ pCut->fUsed = 0;
+ }
+ else if ( pCut->nLeaves < 2 )
+ return pCutSet;
+ }
+ // count the number of nontrivial cuts cuts
+ Dar_ObjForEachCut( pObj, pCut, i )
+ p->nCutsUsed += pCut->fUsed;
+ // discount trivial cut
+ p->nCutsUsed--;
+ return pCutSet;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Dar_Cut_t * Dar_ObjComputeCuts_rec( Dar_Man_t * p, Aig_Obj_t * pObj )
+{
+ if ( Dar_ObjCuts(pObj) )
+ return Dar_ObjCuts(pObj);
+ if ( Aig_ObjIsBuf(pObj) )
+ return Dar_ObjComputeCuts_rec( p, Aig_ObjFanin0(pObj) );
+ Dar_ObjComputeCuts_rec( p, Aig_ObjFanin0(pObj) );
+ Dar_ObjComputeCuts_rec( p, Aig_ObjFanin1(pObj) );
+ return Dar_ObjComputeCuts( p, pObj );
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/dar/darData.c b/src/aig/dar/darData.c
new file mode 100644
index 00000000..cb403b8a
--- /dev/null
+++ b/src/aig/dar/darData.c
@@ -0,0 +1,11287 @@
+/**CFile****************************************************************
+
+ FileName [dar_.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [DAG-aware AIG rewriting.]
+
+ Synopsis [Storage for AIG subgraph data.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - April 28, 2007.]
+
+ Revision [$Id: dar_.c,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "darInt.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+const int s_nDataSize1 = 2*43906;
+unsigned int s_Data1[2*43906] = {
+ 4, 6, 5, 7, 9, 11, 5, 6, 4, 7, 15, 17,
+ 2, 8, 4, 21, 3, 10, 5, 25, 7, 25, 9, 25,
+ 2, 10, 7, 33, 9, 33, 2, 14, 5, 39, 6, 39,
+ 17, 39, 3, 16, 7, 47, 33, 47, 2, 16, 4, 53,
+ 7, 53, 3, 14, 5, 59, 17, 59, 53, 59, 3, 11,
+ 7, 67, 4, 68, 5, 66, 6, 73, 33, 67, 7, 76,
+ 5, 77, 9, 77, 9, 66, 33, 85, 3, 9, 4, 88,
+ 7, 91, 88, 93, 6, 88, 21, 89, 11, 89, 21, 100,
+ 25, 101, 11, 88, 7, 107, 33, 107, 2, 11, 5, 113,
+ 7, 112, 30, 113, 25, 113, 5, 120, 7, 121, 9, 120,
+ 9, 113, 25, 128, 21, 129, 9, 112, 2, 9, 6, 137,
+ 5, 138, 11, 136, 3, 17, 7, 144, 113, 145, 15, 144,
+ 113, 151, 3, 15, 6, 155, 4, 156, 17, 154, 113, 161,
+ 2, 17, 7, 165, 5, 166, 155, 165, 15, 164, 2, 15,
+ 6, 174, 17, 174, 3, 13, 113, 181, 135, 181, 143, 181,
+ 2, 12, 9, 189, 181, 189, 9, 192, 2, 13, 85, 197,
+ 107, 197, 3, 12, 7, 203, 11, 203, 33, 203, 197, 203,
+ 9, 211, 3, 19, 7, 215, 33, 215, 173, 215, 179, 215,
+ 2, 18, 215, 225, 2, 19, 151, 229, 161, 229, 3, 18,
+ 113, 235, 229, 235, 2, 4, 25, 241, 9, 241, 15, 241,
+ 11, 241, 6, 240, 7, 240, 59, 253, 7, 241, 9, 257,
+ 6, 241, 253, 261, 3, 5, 251, 265, 6, 266, 241, 269,
+ 253, 265, 7, 272, 7, 273, 241, 277, 53, 265, 7, 280,
+ 248, 265, 9, 285, 11, 265, 241, 288, 9, 291, 17, 265,
+ 9, 265, 257, 265, 25, 299, 251, 298, 7, 264, 3, 305,
+ 5, 305, 128, 305, 101, 305, 299, 305, 241, 305, 7, 317,
+ 265, 319, 9, 305, 113, 322, 113, 305, 9, 326, 6, 264,
+ 241, 331, 17, 331, 53, 331, 253, 331, 7, 265, 59, 341,
+ 241, 343, 331, 341, 241, 346, 241, 347, 15, 341, 113, 353,
+ 241, 340, 7, 357, 265, 357, 59, 357, 331, 357, 256, 265,
+ 7, 367, 59, 367, 331, 367, 6, 265, 5, 375, 242, 375,
+ 316, 375, 25, 375, 241, 382, 305, 375, 241, 386, 241, 387,
+ 11, 375, 241, 375, 265, 394, 7, 397, 25, 394, 305, 394,
+ 251, 395, 257, 375, 241, 374, 260, 265, 241, 265, 251, 413,
+ 331, 413, 261, 413, 375, 413, 257, 413, 19, 413, 12, 413,
+ 11, 413, 9, 428, 9, 413, 11, 433, 11, 432, 15, 413,
+ 11, 412, 9, 441, 7, 413, 241, 445, 265, 445, 375, 445,
+ 409, 445, 411, 445, 6, 412, 241, 457, 445, 457, 241, 460,
+ 6, 413, 357, 465, 367, 465, 7, 412, 265, 471, 59, 471,
+ 331, 471, 465, 471, 241, 479, 2, 6, 353, 483, 322, 483,
+ 30, 483, 25, 483, 9, 490, 305, 483, 9, 494, 19, 483,
+ 413, 483, 12, 483, 244, 483, 241, 483, 9, 506, 9, 483,
+ 305, 510, 25, 510, 11, 510, 241, 510, 257, 510, 247, 483,
+ 11, 483, 2, 524, 4, 527, 5, 524, 3, 531, 9, 524,
+ 258, 483, 151, 483, 257, 483, 9, 540, 155, 483, 17, 545,
+ 235, 483, 181, 483, 161, 483, 4, 482, 2, 555, 5, 482,
+ 2, 559, 6, 559, 17, 559, 5, 483, 2, 567, 6, 566,
+ 241, 567, 483, 573, 9, 573, 9, 567, 4, 483, 6, 581,
+ 3, 582, 3, 7, 289, 587, 510, 587, 11, 591, 11, 590,
+ 516, 587, 413, 587, 483, 598, 498, 587, 500, 587, 19, 587,
+ 483, 606, 502, 587, 12, 587, 483, 612, 534, 587, 524, 587,
+ 9, 618, 288, 587, 305, 623, 25, 623, 11, 587, 265, 629,
+ 331, 631, 510, 628, 9, 628, 483, 636, 483, 628, 9, 640,
+ 265, 628, 305, 645, 25, 645, 375, 628, 265, 587, 11, 653,
+ 33, 655, 11, 652, 25, 659, 305, 659, 295, 587, 241, 587,
+ 9, 587, 4, 668, 2, 671, 3, 668, 5, 675, 524, 668,
+ 483, 668, 11, 681, 11, 680, 11, 668, 483, 686, 392, 587,
+ 165, 587, 375, 587, 17, 695, 11, 695, 11, 694, 113, 587,
+ 567, 587, 305, 705, 25, 705, 555, 704, 5, 586, 3, 713,
+ 7, 713, 623, 713, 645, 713, 659, 713, 128, 713, 394, 713,
+ 101, 713, 299, 713, 705, 713, 510, 713, 483, 713, 9, 736,
+ 9, 713, 113, 740, 483, 740, 241, 713, 375, 746, 375, 713,
+ 241, 750, 113, 713, 9, 754, 4, 586, 7, 759, 589, 759,
+ 33, 759, 5, 587, 7, 767, 2, 768, 47, 767, 483, 773,
+ 759, 767, 483, 777, 17, 767, 113, 781, 483, 781, 483, 766,
+ 47, 787, 759, 787, 17, 787, 566, 587, 47, 795, 759, 795,
+ 17, 795, 4, 587, 3, 803, 6, 805, 7, 802, 494, 803,
+ 490, 803, 736, 803, 25, 803, 483, 816, 305, 803, 483, 820,
+ 713, 803, 483, 824, 483, 803, 305, 828, 25, 828, 713, 828,
+ 555, 829, 483, 802, 580, 587, 483, 587, 413, 842, 19, 842,
+ 12, 842, 11, 843, 9, 851, 9, 842, 11, 855, 11, 854,
+ 11, 842, 9, 860, 5, 843, 803, 865, 9, 865, 839, 865,
+ 841, 865, 4, 842, 483, 875, 865, 875, 483, 878, 4, 843,
+ 787, 883, 795, 883, 5, 842, 587, 889, 47, 889, 759, 889,
+ 17, 889, 883, 889, 483, 899, 3, 4, 559, 903, 19, 903,
+ 12, 903, 842, 903, 587, 903, 483, 912, 165, 912, 9, 903,
+ 11, 918, 483, 903, 241, 923, 555, 923, 587, 922, 11, 922,
+ 15, 903, 11, 903, 9, 934, 483, 934, 524, 903, 692, 903,
+ 767, 903, 375, 945, 165, 903, 7, 949, 587, 948, 6, 902,
+ 3, 955, 7, 902, 787, 959, 795, 959, 889, 959, 767, 959,
+ 483, 967, 33, 959, 7, 903, 956, 973, 88, 973, 4, 973,
+ 3, 973, 955, 980, 9, 980, 3, 972, 4, 972, 955, 973,
+ 3, 990, 375, 973, 9, 973, 3, 996, 6, 903, 4, 1001,
+ 3, 1001, 3, 1000, 4, 1000, 2, 5, 955, 1011, 914, 1011,
+ 918, 1011, 11, 1017, 11, 1016, 912, 1011, 483, 1022, 920, 1011,
+ 906, 1011, 19, 1011, 903, 1030, 842, 1011, 903, 1034, 908, 1011,
+ 910, 1011, 12, 1011, 903, 1042, 922, 1011, 587, 1046, 928, 1011,
+ 936, 1011, 934, 1011, 9, 1054, 15, 1011, 11, 1011, 918, 1060,
+ 9, 1060, 903, 1064, 903, 1060, 9, 1068, 483, 1011, 912, 1072,
+ 903, 1072, 587, 1076, 587, 1072, 903, 1080, 155, 1072, 587, 1011,
+ 922, 1086, 483, 1086, 903, 1090, 903, 1086, 483, 1094, 11, 1087,
+ 9, 1099, 9, 1086, 11, 1103, 17, 1011, 9, 1011, 934, 1108,
+ 903, 1108, 11, 1113, 11, 1112, 11, 1108, 903, 1118, 587, 1108,
+ 11, 1123, 668, 1011, 11, 1127, 544, 1011, 155, 1011, 483, 1132,
+ 67, 1011, 375, 1137, 7, 1010, 2, 1141, 959, 1141, 85, 1141,
+ 107, 1141, 203, 1141, 67, 1141, 9, 1153, 215, 1141, 47, 1141,
+ 759, 1141, 6, 1010, 2, 1163, 5, 1163, 17, 1163, 7, 1011,
+ 2, 1171, 5, 1171, 2, 1170, 5, 1170, 1163, 1171, 5, 1180,
+ 2, 1181, 483, 1171, 903, 1170, 375, 1189, 972, 1011, 375, 1193,
+ 6, 1011, 2, 1197, 5, 1197, 2, 1196, 5, 1196, 1141, 1197,
+ 2, 1206, 5, 1207, 903, 1196, 1000, 1011, 903, 1011, 19, 1216,
+ 842, 1216, 12, 1216, 11, 1217, 9, 1225, 587, 1216, 483, 1228,
+ 11, 1216, 9, 1232, 9, 1216, 11, 1237, 11, 1236, 15, 1216,
+ 483, 1216, 587, 1244, 7, 1217, 59, 1249, 331, 1249, 1213, 1249,
+ 1215, 1249, 6, 1216, 1249, 1259, 6, 1217, 1189, 1263, 1193, 1263,
+ 7, 1216, 375, 1269, 1263, 1269, 3, 6, 413, 1275, 1216, 1275,
+ 241, 1275, 9, 1281, 11, 1283, 11, 1280, 9, 1287, 17, 1275,
+ 3, 1290, 5, 1293, 4, 1290, 2, 1297, 903, 1291, 1011, 1275,
+ 11, 1275, 241, 1304, 9, 1307, 248, 1275, 9, 1311, 973, 1275,
+ 9, 1315, 341, 1275, 803, 1319, 9, 1319, 5, 1274, 3, 1325,
+ 17, 1325, 357, 1325, 367, 1325, 471, 1325, 341, 1325, 241, 1337,
+ 1249, 1325, 253, 1325, 53, 1325, 5, 1275, 6, 1347, 2, 1348,
+ 918, 1347, 903, 1347, 9, 1354, 9, 1347, 903, 1358, 4, 1275,
+ 6, 1362, 265, 1363, 2, 7, 393, 1369, 334, 1369, 1325, 1369,
+ 1363, 1374, 17, 1374, 62, 1369, 331, 1369, 17, 1382, 59, 1369,
+ 17, 1386, 1328, 1369, 1304, 1369, 9, 1393, 17, 1369, 331, 1396,
+ 241, 1397, 59, 1396, 1325, 1396, 11, 1369, 1275, 1406, 9, 1409,
+ 265, 1369, 241, 1412, 11, 1413, 15, 1369, 5, 1418, 3, 1421,
+ 2, 1418, 4, 1425, 1011, 1419, 107, 1369, 67, 1369, 803, 1433,
+ 9, 1433, 1359, 1369, 203, 1369, 215, 1369, 85, 1369, 5, 1368,
+ 2, 1447, 7, 1447, 47, 1447, 85, 1447, 107, 1447, 203, 1447,
+ 67, 1447, 9, 1461, 215, 1447, 759, 1447, 959, 1447, 4, 1368,
+ 2, 1471, 7, 1471, 265, 1471, 7, 1476, 331, 1471, 59, 1471,
+ 1325, 1471, 5, 1369, 7, 1486, 803, 1487, 1275, 1486, 803, 1493,
+ 9, 1493, 1346, 1369, 803, 1499, 9, 1499, 4, 1369, 7, 1505,
+ 3, 1506, 1060, 1505, 11, 1505, 1011, 1512, 1011, 1505, 7, 1517,
+ 11, 1517, 11, 1516, 1347, 1505, 1275, 1504, 1362, 1369, 1275, 1369,
+ 413, 1531, 19, 1531, 12, 1531, 1216, 1531, 1011, 1531, 903, 1540,
+ 9, 1531, 11, 1545, 11, 1544, 11, 1531, 9, 1550, 903, 1531,
+ 1011, 1554, 11, 1530, 9, 1559, 5, 1531, 959, 1563, 47, 1563,
+ 759, 1563, 17, 1563, 1527, 1563, 1529, 1563, 4, 1530, 1563, 1577,
+ 4, 1531, 1493, 1581, 1499, 1581, 5, 1530, 803, 1587, 9, 1587,
+ 1581, 1587, 1, 974, 1, 975, 1, 982, 1, 983, 0, 204,
+ 0, 195, 0, 881, 0, 463, 0, 212, 0, 900, 0, 480,
+ 0, 194, 0, 880, 0, 462, 0, 213, 0, 901, 0, 481,
+ 0, 205, 0, 216, 0, 217, 1, 446, 0, 448, 0, 415,
+ 0, 421, 1, 92, 0, 92, 1, 94, 1645, 1647, 1, 93,
+ 88, 1650, 1645, 1653, 0, 93, 1, 95, 1657, 1659, 0, 108,
+ 0, 109, 1, 360, 0, 368, 0, 358, 0, 414, 1, 447,
+ 1637, 1675, 0, 449, 1635, 1679, 0, 191, 0, 877, 0, 473,
+ 1, 473, 0, 459, 1, 459, 0, 891, 0, 207, 0, 458,
+ 0, 876, 0, 190, 1, 458, 0, 472, 0, 890, 0, 206,
+ 1, 472, 1, 977, 1, 976, 0, 399, 0, 398, 0, 397,
+ 7, 1722, 0, 275, 0, 269, 241, 1728, 0, 270, 1, 279,
+ 0, 321, 0, 274, 0, 271, 1, 278, 0, 320, 1, 277,
+ 241, 1746, 0, 319, 265, 1750, 1, 276, 0, 318, 1, 926,
+ 0, 1518, 0, 950, 0, 1519, 0, 951, 1, 998, 1, 999,
+ 0, 575, 0, 1478, 0, 282, 0, 1479, 0, 283, 0, 369,
+ 0, 359, 1667, 1785, 0, 420, 1, 422, 1, 927, 1, 1421,
+ 5, 1794, 1419, 1797, 3, 1794, 1799, 1801, 0, 527, 2, 1804,
+ 525, 1807, 4, 1804, 1809, 1811, 1, 671, 4, 1814, 669, 1817,
+ 2, 1814, 1819, 1821, 0, 1293, 3, 1824, 1291, 1827, 5, 1824,
+ 1829, 1831, 1, 1425, 2, 1834, 1419, 1837, 4, 1834, 1839, 1841,
+ 0, 531, 5, 1844, 525, 1847, 3, 1844, 1849, 1851, 1, 675,
+ 3, 1854, 669, 1857, 5, 1854, 1859, 1861, 0, 1297, 4, 1864,
+ 1291, 1867, 2, 1864, 1869, 1871, 1, 1422, 0, 528, 1, 672,
+ 0, 1294, 1, 1426, 0, 532, 1, 676, 0, 1298, 1, 123,
+ 0, 79, 1, 993, 0, 124, 1, 80, 0, 1210, 0, 1184,
+ 0, 125, 1891, 1905, 1, 81, 1893, 1909, 1, 122, 1897, 1913,
+ 0, 78, 1899, 1917, 0, 1208, 0, 1182, 1, 992, 1, 361,
+ 1671, 1927, 0, 574, 1, 984, 1, 985, 1, 114, 9, 1937,
+ 0, 68, 1, 980, 955, 1942, 9, 1942, 0, 568, 9, 1949,
+ 1, 924, 1, 925, 0, 306, 375, 1957, 0, 308, 1413, 1961,
+ 0, 26, 1, 306, 1, 308, 1, 714, 0, 1142, 0, 1448,
+ 0, 1450, 1, 1450, 1413, 1979, 0, 1474, 0, 54, 0, 56,
+ 1, 1472, 0, 1326, 0, 60, 1, 60, 0, 1166, 0, 40,
+ 1, 956, 973, 2001, 973, 2000, 0, 556, 1, 22, 0, 1475,
+ 1, 1165, 1168, 2012, 1169, 2013, 2015, 2017, 1168, 2013, 1169, 2012,
+ 2021, 2023, 1, 1167, 2, 2027, 1197, 2029, 1997, 2031, 0, 57,
+ 1, 957, 0, 1451, 1980, 2039, 1979, 2039, 1413, 2042, 1413, 2039,
+ 1979, 2046, 1, 1449, 5, 2051, 1451, 2053, 1975, 2055, 1, 1451,
+ 1977, 2059, 1413, 2061, 0, 307, 1967, 2065, 375, 2067, 0, 309,
+ 1969, 2071, 1413, 2073, 0, 41, 1, 307, 1958, 2079, 1957, 2079,
+ 375, 2082, 375, 2079, 1957, 2086, 1, 309, 1962, 2091, 1961, 2091,
+ 1413, 2094, 1413, 2091, 1961, 2098, 1, 41, 2, 2103, 43, 2105,
+ 1999, 2107, 1, 1143, 5, 2111, 1171, 2113, 1973, 2115, 1, 561,
+ 564, 2118, 565, 2119, 2121, 2123, 564, 2119, 565, 2118, 2127, 2129,
+ 0, 91, 7, 2132, 0, 569, 1, 981, 9, 2139, 955, 2139,
+ 0, 69, 9, 2145, 1, 115, 0, 432, 0, 500, 0, 1245,
+ 0, 1237, 0, 501, 0, 433, 1, 1415, 1, 348, 1, 388,
+ 1, 826, 1, 126, 1, 1376, 1, 380, 1, 814, 1, 118,
+ 1, 302, 1, 710, 1, 102, 1, 402, 1, 834, 1, 130,
+ 1, 404, 1, 836, 1, 132, 1, 314, 1, 732, 1, 104,
+ 0, 1236, 0, 1244, 1, 1414, 0, 202, 1, 888, 1, 202,
+ 1603, 2215, 0, 106, 1, 106, 1663, 2221, 1, 794, 0, 366,
+ 0, 84, 1, 786, 1, 84, 1941, 2233, 1, 390, 1, 994,
+ 1, 450, 1, 105, 1, 733, 1, 405, 1, 315, 1, 837,
+ 1, 133, 1, 407, 1, 451, 1, 391, 1, 1383, 0, 905,
+ 1, 905, 0, 1477, 1, 1477, 1775, 2269, 6, 2269, 7, 2269,
+ 6, 2268, 2275, 2277, 1983, 2269, 7, 2268, 2273, 2283, 0, 281,
+ 1, 281, 1777, 2289, 6, 2289, 7, 2289, 6, 2288, 2295, 2297,
+ 1987, 2289, 7, 2288, 2293, 2303, 1, 1387, 1, 406, 2227, 2309,
+ 1, 995, 0, 461, 1, 461, 1621, 2317, 1699, 2317, 0, 1261,
+ 1, 1261, 0, 879, 0, 193, 1, 879, 1619, 2331, 1701, 2331,
+ 1, 193, 1617, 2337, 1703, 2337, 0, 1579, 0, 211, 9, 2344,
+ 1, 1579, 1, 211, 1623, 2351, 1711, 2351, 0, 479, 241, 2356,
+ 0, 899, 483, 2360, 0, 227, 1, 479, 1627, 2367, 1707, 2367,
+ 1, 899, 1625, 2373, 1709, 2373, 1, 227, 0, 1273, 0, 1593,
+ 0, 239, 1, 1273, 1, 1593, 1, 239, 0, 478, 2367, 2393,
+ 1, 478, 2359, 2397, 1615, 2397, 2357, 2397, 1687, 2397, 0, 1272,
+ 2387, 2407, 1, 1272, 2381, 2411, 0, 898, 2373, 2415, 0, 210,
+ 2351, 2419, 1, 898, 2363, 2423, 1613, 2423, 2361, 2423, 1695, 2423,
+ 1, 210, 2347, 2433, 1611, 2433, 2345, 2433, 1697, 2433, 0, 1592,
+ 2389, 2443, 0, 192, 9, 2446, 2337, 2449, 2337, 2447, 1, 1592,
+ 2383, 2455, 1, 192, 1605, 2459, 2329, 2459, 1683, 2459, 0, 460,
+ 241, 2466, 2317, 2469, 2317, 2467, 0, 878, 483, 2474, 2331, 2477,
+ 2331, 2475, 0, 238, 2391, 2483, 1, 460, 1609, 2487, 2315, 2487,
+ 1691, 2487, 1, 878, 1607, 2495, 2327, 2495, 1685, 2495, 1, 238,
+ 2385, 2503, 0, 1260, 2325, 2507, 0, 1578, 2349, 2511, 0, 226,
+ 2379, 2515, 1, 1260, 2323, 2519, 1, 1578, 2343, 2523, 1, 226,
+ 2365, 2527, 1, 349, 1, 127, 1, 827, 1, 389, 1, 119,
+ 1, 815, 1, 381, 1, 1377, 1, 131, 1, 835, 1, 303,
+ 1, 403, 1, 711, 1, 103, 1, 1366, 1, 694, 1, 702,
+ 9, 2563, 0, 572, 1, 572, 1931, 2569, 0, 1516, 1, 1516,
+ 1761, 2575, 7, 2575, 6, 2574, 2579, 2581, 6, 2575, 7, 2574,
+ 2585, 2587, 0, 944, 0, 948, 1, 578, 587, 2595, 1, 948,
+ 1763, 2599, 7, 2599, 6, 2598, 2603, 2605, 6, 2599, 7, 2598,
+ 2609, 2611, 1, 1186, 1, 996, 3, 2616, 1, 544, 1, 465,
+ 471, 2622, 1687, 2625, 1, 197, 203, 2628, 1697, 2631, 1, 883,
+ 889, 2634, 1695, 2637, 1, 181, 189, 2640, 1683, 2643, 0, 445,
+ 1693, 2647, 1713, 2647, 265, 2646, 1675, 2653, 2257, 2647, 375, 2647,
+ 457, 2647, 1, 445, 264, 2662, 241, 2662, 1679, 2667, 375, 2662,
+ 457, 2662, 1691, 2673, 1, 865, 875, 2676, 1685, 2679, 0, 215,
+ 7, 2682, 1, 215, 1633, 2687, 1, 1563, 0, 457, 241, 2692,
+ 2317, 2695, 1, 457, 241, 2698, 445, 2699, 445, 2698, 1691, 2705,
+ 0, 875, 483, 2708, 2331, 2711, 1, 875, 865, 2714, 1685, 2717,
+ 0, 189, 9, 2720, 2337, 2723, 1, 189, 181, 2726, 1683, 2729,
+ 0, 203, 7, 2732, 2215, 2735, 11, 2732, 2351, 2739, 0, 471,
+ 7, 2742, 1689, 2745, 265, 2742, 2367, 2749, 0, 889, 587, 2752,
+ 2373, 2755, 1, 203, 1629, 2759, 197, 2758, 1697, 2763, 1, 471,
+ 265, 2766, 2647, 2769, 465, 2766, 1687, 2773, 1, 889, 883, 2776,
+ 1695, 2779, 0, 107, 7, 2782, 2221, 2785, 1, 107, 1665, 2789,
+ 1, 795, 0, 367, 2255, 2795, 375, 2795, 7, 2794, 1, 367,
+ 265, 2802, 1783, 2805, 0, 85, 7, 2808, 2233, 2811, 0, 357,
+ 7, 2814, 1927, 2817, 1, 85, 2145, 2821, 1, 357, 265, 2824,
+ 1785, 2827, 1, 787, 0, 573, 483, 2832, 2569, 2835, 1, 579,
+ 1, 573, 1773, 2841, 1, 997, 1, 545, 1, 1187, 903, 2849,
+ 1, 1367, 0, 949, 7, 2854, 2599, 2857, 0, 945, 483, 2861,
+ 1, 949, 1767, 2865, 0, 1517, 7, 2868, 2575, 2871, 1, 1517,
+ 1765, 2875, 1, 703, 1, 695, 1, 332, 1, 266, 1731, 2885,
+ 1733, 2885, 1, 1012, 1, 30, 113, 2892, 0, 316, 265, 2896,
+ 375, 2897, 0, 272, 7, 2902, 1735, 2903, 1, 736, 803, 2908,
+ 1, 316, 1737, 2913, 375, 2912, 1, 272, 1727, 2919, 241, 2918,
+ 0, 1374, 2545, 2925, 1, 1374, 1363, 2928, 1, 1382, 0, 904,
+ 483, 2934, 2265, 2937, 1, 904, 0, 1476, 7, 2942, 2269, 2945,
+ 1, 1476, 1779, 2949, 2011, 2949, 0, 280, 7, 2954, 2289, 2957,
+ 1, 280, 1781, 2961, 2035, 2961, 1, 1386, 1, 99, 1, 991,
+ 0, 1181, 2, 2972, 0, 347, 2165, 2977, 1, 347, 1, 263,
+ 273, 2983, 272, 2982, 2985, 2987, 272, 2983, 273, 2982, 2991, 2993,
+ 0, 77, 0, 1207, 5, 2998, 1, 77, 5, 3002, 1917, 3005,
+ 9, 3003, 0, 121, 7, 3010, 1913, 3013, 9, 3011, 0, 387,
+ 2259, 3019, 1, 121, 9, 3023, 1, 825, 483, 3027, 1, 387,
+ 241, 3030, 241, 3031, 1, 98, 0, 1206, 2, 3038, 0, 386,
+ 2237, 3043, 3033, 3043, 1, 386, 241, 3048, 1, 824, 483, 3052,
+ 1, 990, 3, 3056, 0, 120, 3023, 3061, 9, 3063, 0, 1180,
+ 5, 3066, 1, 120, 3016, 3071, 5, 3070, 1897, 3075, 3013, 3075,
+ 3011, 3071, 9, 3080, 9, 3070, 9, 3071, 3011, 3086, 0, 76,
+ 3008, 3091, 7, 3090, 1899, 3095, 3005, 3095, 3003, 3091, 9, 3100,
+ 9, 3091, 3003, 3104, 0, 346, 2531, 3109, 1, 76, 2997, 3113,
+ 9, 3115, 1, 776, 1, 346, 241, 3120, 2977, 3123, 1, 21,
+ 2, 3127, 1275, 3129, 9, 3131, 4, 3126, 3133, 3135, 2, 3126,
+ 668, 3139, 3135, 3141, 587, 3139, 9, 3144, 3135, 3147, 9, 3139,
+ 587, 3150, 3135, 3153, 100, 3126, 129, 3126, 129, 3127, 100, 3127,
+ 89, 3127, 11, 3164, 11, 3127, 89, 3169, 89, 3168, 89, 3126,
+ 0, 25, 2243, 3177, 2547, 3177, 2539, 3177, 2533, 3177, 3024, 3177,
+ 3, 3177, 1369, 3189, 11, 3191, 5, 3176, 3193, 3195, 3, 3176,
+ 524, 3199, 3195, 3201, 483, 3199, 11, 3204, 3195, 3207, 11, 3199,
+ 483, 3210, 3195, 3213, 3023, 3177, 9, 3216, 101, 3177, 128, 3177,
+ 113, 3177, 9, 3224, 9, 3177, 3023, 3228, 113, 3228, 1, 33,
+ 5, 3234, 6, 3237, 2997, 3235, 9, 3241, 3177, 3235, 67, 3235,
+ 9, 3247, 67, 3234, 3239, 3251, 1, 25, 128, 3254, 101, 3254,
+ 113, 3255, 9, 3254, 113, 3262, 113, 3254, 9, 3266, 9, 3267,
+ 0, 33, 2759, 3273, 2789, 3273, 2821, 3273, 9, 3273, 67, 3272,
+ 9, 3283, 1, 251, 298, 3286, 395, 3286, 395, 3287, 298, 3287,
+ 257, 3287, 265, 3297, 265, 3296, 265, 3287, 257, 3302, 265, 3286,
+ 0, 305, 2249, 3309, 2553, 3309, 2543, 3309, 2537, 3309, 3034, 3309,
+ 3031, 3309, 241, 3320, 3235, 3309, 299, 3309, 394, 3309, 375, 3309,
+ 241, 3330, 241, 3309, 3031, 3334, 375, 3334, 241, 3308, 375, 3341,
+ 1, 331, 2647, 3345, 413, 3345, 241, 3344, 1369, 3344, 341, 3344,
+ 0, 253, 7, 3356, 265, 3356, 3345, 3357, 1, 555, 923, 3364,
+ 923, 3365, 704, 3364, 829, 3364, 829, 3365, 704, 3365, 0, 713,
+ 2245, 3379, 2549, 3379, 2541, 3379, 2535, 3379, 3028, 3379, 3027, 3379,
+ 483, 3390, 3235, 3379, 705, 3379, 828, 3379, 803, 3379, 483, 3400,
+ 483, 3379, 3027, 3404, 803, 3404, 1, 759, 3, 3410, 6, 3413,
+ 3273, 3411, 767, 3410, 3415, 3419, 0, 559, 0, 251, 413, 3424,
+ 413, 3425, 257, 3425, 413, 3431, 412, 3430, 3433, 3435, 412, 3431,
+ 413, 3430, 3439, 3441, 1, 305, 3, 3445, 375, 3447, 3, 3444,
+ 394, 3444, 299, 3444, 241, 3444, 375, 3456, 375, 3444, 241, 3460,
+ 1, 253, 265, 3464, 0, 555, 4, 3469, 15, 3471, 483, 3473,
+ 2, 3468, 3475, 3477, 4, 3468, 524, 3481, 3477, 3483, 11, 3481,
+ 483, 3486, 3477, 3489, 483, 3481, 11, 3492, 3477, 3495, 1, 713,
+ 5, 3499, 17, 3501, 587, 3503, 3, 3498, 3505, 3507, 5, 3498,
+ 668, 3511, 3507, 3513, 9, 3511, 587, 3516, 3507, 3519, 587, 3511,
+ 9, 3522, 3507, 3525, 828, 3498, 705, 3498, 483, 3498, 803, 3532,
+ 803, 3498, 483, 3536, 1, 559, 903, 3540, 1, 955, 980, 3544,
+ 3, 3544, 973, 3549, 973, 3548, 973, 3545, 2139, 3555, 1011, 3544,
+ 973, 3544, 3, 3560, 0, 1141, 2, 3564, 9, 3565, 3411, 3565,
+ 0, 1447, 9, 3573, 3411, 3573, 1, 1471, 4, 3579, 11, 3581,
+ 1369, 3583, 2, 3578, 3585, 3587, 4, 3578, 1418, 3591, 3587, 3593,
+ 15, 3591, 1369, 3596, 3587, 3599, 1369, 3591, 15, 3602, 3587, 3605,
+ 265, 3578, 2011, 3609, 0, 1325, 5, 3613, 9, 3615, 1275, 3617,
+ 3, 3612, 3619, 3621, 5, 3612, 1290, 3625, 3621, 3627, 17, 3625,
+ 1275, 3630, 3621, 3633, 1275, 3625, 17, 3636, 3621, 3639, 1, 53,
+ 265, 3642, 2035, 3645, 0, 59, 5, 3648, 1, 1141, 3177, 3653,
+ 3379, 3653, 3309, 3653, 0, 1163, 5, 3660, 1, 959, 3565, 3665,
+ 3273, 3665, 3573, 3665, 1, 1447, 3177, 3673, 3309, 3673, 3379, 3673,
+ 0, 1471, 7, 3680, 2269, 3683, 3345, 3681, 1, 1325, 1369, 3688,
+ 3357, 3689, 3681, 3689, 0, 39, 5, 3696, 1, 47, 3565, 3701,
+ 3573, 3701, 3273, 3701, 0, 53, 2, 3709, 587, 3711, 17, 3713,
+ 7, 3708, 2289, 3717, 4, 3708, 3715, 3721, 2, 3708, 1290, 3725,
+ 3721, 3727, 1275, 3725, 17, 3730, 3721, 3733, 17, 3725, 1275, 3736,
+ 3721, 3739, 3345, 3709, 3689, 3709, 1, 59, 3, 3747, 483, 3749,
+ 15, 3751, 5, 3746, 3753, 3755, 3, 3746, 1418, 3759, 3755, 3761,
+ 1369, 3759, 15, 3764, 3755, 3767, 15, 3759, 1369, 3770, 3755, 3773,
+ 1369, 3746, 3681, 3747, 3357, 3747, 3709, 3747, 1, 330, 1369, 3785,
+ 471, 3785, 367, 3785, 357, 3785, 341, 3785, 241, 3795, 0, 1162,
+ 17, 3799, 0, 758, 767, 3803, 0, 32, 2215, 3807, 2221, 3807,
+ 2233, 3807, 3249, 3807, 3246, 3807, 9, 3817, 3235, 3807, 67, 3820,
+ 9, 3823, 67, 3807, 3235, 3826, 9, 3829, 1, 758, 3807, 3833,
+ 1, 32, 3104, 3837, 3284, 3837, 3091, 3837, 9, 3842, 3283, 3837,
+ 9, 3846, 3273, 3837, 67, 3851, 9, 3853, 9, 3837, 3283, 3856,
+ 3091, 3856, 0, 1470, 3785, 3863, 0, 24, 2203, 3867, 3259, 3867,
+ 2191, 3867, 3257, 3867, 2179, 3867, 2895, 3867, 2171, 3867, 3265, 3867,
+ 3269, 3867, 3085, 3867, 3071, 3867, 9, 3889, 3267, 3867, 9, 3893,
+ 2893, 3867, 113, 3897, 3263, 3867, 113, 3901, 3255, 3867, 101, 3905,
+ 128, 3905, 113, 3905, 9, 3910, 9, 3905, 113, 3914, 3837, 3867,
+ 128, 3867, 101, 3867, 9, 3867, 113, 3924, 113, 3867, 9, 3928,
+ 1, 24, 3220, 3933, 3222, 3933, 3232, 3933, 3226, 3933, 3224, 3933,
+ 9, 3942, 3228, 3933, 113, 3946, 3177, 3933, 101, 3950, 128, 3950,
+ 113, 3950, 9, 3956, 9, 3950, 113, 3960, 128, 3933, 3177, 3964,
+ 101, 3933, 3177, 3968, 9, 3933, 3224, 3972, 3177, 3972, 113, 3976,
+ 113, 3972, 3177, 3980, 113, 3933, 3228, 3984, 3177, 3984, 9, 3988,
+ 9, 3984, 3177, 3992, 0, 712, 2201, 3997, 3531, 3997, 2189, 3997,
+ 3529, 3997, 2177, 3997, 2911, 3997, 2169, 3997, 3535, 3997, 3539, 3997,
+ 3055, 3997, 3053, 3997, 483, 4019, 3537, 3997, 483, 4023, 2909, 3997,
+ 803, 4027, 3533, 3997, 803, 4031, 3499, 3997, 705, 4035, 828, 4035,
+ 803, 4035, 483, 4040, 483, 4035, 803, 4044, 3837, 3997, 828, 3997,
+ 705, 3997, 483, 3997, 803, 4054, 803, 3997, 483, 4058, 0, 52,
+ 3785, 4063, 0, 304, 2199, 4067, 3455, 4067, 2187, 4067, 3453, 4067,
+ 2175, 4067, 2917, 4067, 2167, 4067, 3459, 4067, 3463, 4067, 3051, 4067,
+ 3049, 4067, 241, 4089, 3461, 4067, 241, 4093, 2913, 4067, 375, 4097,
+ 3457, 4067, 375, 4101, 3445, 4067, 299, 4105, 394, 4105, 375, 4105,
+ 241, 4110, 241, 4105, 375, 4114, 3837, 4067, 394, 4067, 299, 4067,
+ 241, 4067, 375, 4124, 375, 4067, 241, 4128, 0, 38, 17, 4133,
+ 0, 252, 265, 4137, 3785, 4137, 0, 558, 17, 4143, 1, 712,
+ 3396, 4147, 3398, 4147, 3408, 4147, 3402, 4147, 3400, 4147, 483, 4156,
+ 3404, 4147, 803, 4160, 3379, 4147, 705, 4164, 828, 4164, 803, 4164,
+ 483, 4170, 483, 4164, 803, 4174, 9, 4147, 828, 4147, 3379, 4180,
+ 705, 4147, 3379, 4184, 483, 4147, 3400, 4188, 3379, 4188, 803, 4192,
+ 803, 4188, 3379, 4196, 803, 4147, 3404, 4200, 3379, 4200, 483, 4204,
+ 483, 4200, 3379, 4208, 1, 304, 3326, 4213, 3328, 4213, 3338, 4213,
+ 3332, 4213, 3330, 4213, 241, 4222, 3334, 4213, 375, 4226, 3309, 4213,
+ 299, 4230, 394, 4230, 375, 4230, 241, 4236, 241, 4230, 375, 4240,
+ 9, 4213, 394, 4213, 3309, 4246, 299, 4213, 3309, 4250, 241, 4213,
+ 3330, 4254, 3309, 4254, 375, 4258, 375, 4254, 3309, 4262, 375, 4213,
+ 3334, 4266, 3309, 4266, 241, 4270, 241, 4266, 3309, 4274, 0, 1446,
+ 3833, 4279, 0, 1140, 3833, 4283, 1, 1446, 3867, 4287, 3997, 4287,
+ 4067, 4287, 1, 46, 4279, 4295, 3807, 4295, 4283, 4295, 1, 1140,
+ 3867, 4303, 4067, 4303, 3997, 4303, 1, 58, 1369, 4311, 4063, 4311,
+ 3863, 4311, 4137, 4311, 1, 958, 3807, 4321, 4279, 4321, 4283, 4321,
+ 1, 1324, 1369, 4329, 3863, 4329, 4063, 4329, 4137, 4329, 1, 214,
+ 1631, 4339, 2685, 4339, 0, 214, 1, 1562, 1, 444, 449, 4349,
+ 7, 4349, 265, 4353, 2647, 4355, 2658, 4349, 251, 4349, 2647, 4349,
+ 375, 4362, 375, 4349, 2647, 4366, 0, 444, 2701, 4371, 1689, 4371,
+ 1705, 4371, 447, 4371, 2665, 4371, 2241, 4371, 3785, 4371, 2671, 4371,
+ 265, 4371, 331, 4371, 2663, 4371, 375, 4393, 375, 4371, 1, 510,
+ 257, 4399, 1, 1058, 0, 1396, 0, 1406, 0, 628, 375, 4409,
+ 1, 652, 1, 288, 1, 267, 1741, 4417, 1, 1013, 1, 1375,
+ 1, 333, 2903, 4425, 3361, 4425, 0, 1375, 2931, 4431, 2173, 4431,
+ 1, 273, 2905, 4437, 1739, 4437, 6, 4436, 7, 4437, 4443, 4445,
+ 6, 4437, 3359, 4437, 7, 4436, 4449, 4453, 0, 273, 2883, 4457,
+ 2913, 4457, 3351, 4457, 3457, 4457, 2923, 4457, 1749, 4457, 1743, 4457,
+ 1, 31, 3224, 4473, 3177, 4473, 113, 4476, 113, 4473, 3177, 4480,
+ 1, 737, 3400, 4485, 3379, 4485, 803, 4488, 803, 4485, 3379, 4492,
+ 1, 317, 2903, 4497, 3361, 4497, 2900, 4497, 7, 4497, 265, 4505,
+ 2897, 4507, 1753, 4497, 1745, 4497, 3330, 4497, 2897, 4497, 375, 4516,
+ 3309, 4497, 375, 4520, 375, 4497, 2897, 4524, 3309, 4524, 0, 317,
+ 7, 4530, 2913, 4531, 375, 4535, 375, 4531, 1, 507, 1, 245,
+ 0, 1397, 1, 913, 0, 1407, 1, 653, 11, 4551, 1, 289,
+ 1, 629, 713, 4557, 25, 4557, 305, 4557, 0, 629, 375, 4565,
+ 0, 340, 3785, 4569, 4311, 4569, 4329, 4569, 4555, 4569, 0, 766,
+ 1413, 4579, 922, 4579, 903, 4579, 483, 4584, 483, 4579, 903, 4588,
+ 0, 66, 75, 4593, 7, 4593, 3113, 4593, 9, 4599, 3251, 4593,
+ 9, 4603, 375, 4593, 483, 4593, 9, 4593, 1, 340, 331, 4613,
+ 1, 766, 483, 4616, 2591, 4617, 483, 4621, 1, 66, 5, 4624,
+ 6, 4627, 3248, 4625, 1941, 4625, 9, 4633, 36, 4625, 3247, 4625,
+ 9, 4638, 9, 4624, 1941, 4643, 3807, 4643, 33, 4625, 9, 4648,
+ 9, 4625, 3247, 4652, 33, 4652, 3807, 4625, 9, 4659, 0, 1170,
+ 2615, 4663, 903, 4665, 0, 112, 3972, 4669, 3270, 4669, 3086, 4669,
+ 1938, 4669, 1937, 4669, 9, 4678, 2564, 4669, 3071, 4669, 9, 4684,
+ 3267, 4669, 9, 4688, 2563, 4669, 9, 4692, 9, 4669, 3267, 4696,
+ 3933, 4696, 1937, 4696, 3071, 4696, 2563, 4696, 3933, 4669, 9, 4708,
+ 1, 1170, 1413, 4713, 922, 4713, 483, 4713, 903, 4718, 903, 4713,
+ 483, 4722, 1, 112, 2, 4727, 7, 4729, 3261, 4727, 9, 4733,
+ 25, 4727, 903, 4727, 587, 4727, 9, 4727, 0, 972, 3059, 4745,
+ 1925, 4745, 3563, 4745, 3553, 4745, 3549, 4745, 3547, 4745, 2005, 4745,
+ 2001, 4745, 1595, 4745, 1945, 4745, 1599, 4745, 2239, 4745, 1717, 4745,
+ 2619, 4745, 1769, 4745, 1947, 4745, 1933, 4745, 1943, 4745, 955, 4781,
+ 9, 4781, 0, 802, 807, 4787, 375, 4787, 7, 4787, 805, 4793,
+ 265, 4793, 483, 4787, 0, 144, 483, 4801, 1, 972, 3551, 4805,
+ 2003, 4805, 375, 4805, 955, 4805, 9, 4805, 1011, 4805, 1, 802,
+ 713, 4819, 483, 4819, 1, 144, 0, 256, 2309, 4827, 4437, 4827,
+ 264, 4826, 299, 4833, 264, 4827, 367, 4837, 265, 4826, 2309, 4841,
+ 4805, 4827, 4613, 4827, 375, 4827, 510, 4827, 483, 4827, 9, 4852,
+ 9, 4827, 483, 4856, 0, 1504, 1, 256, 2798, 4863, 7, 4863,
+ 265, 4867, 264, 4862, 264, 4863, 2795, 4863, 375, 4874, 265, 4862,
+ 4873, 4879, 305, 4863, 713, 4863, 25, 4863, 375, 4863, 2795, 4888,
+ 265, 4863, 4871, 4893, 1, 164, 0, 374, 241, 4899, 0, 1346,
+ 9, 4903, 0, 154, 0, 1412, 2853, 4909, 2163, 4909, 0, 1418,
+ 1, 1346, 1, 154, 483, 4919, 1, 1412, 241, 4922, 1, 1290,
+ 4915, 4927, 1, 1280, 1, 246, 0, 566, 2596, 4935, 586, 4934,
+ 705, 4939, 586, 4935, 795, 4943, 2595, 4935, 587, 4946, 587, 4935,
+ 2595, 4950, 0, 1086, 375, 4955, 0, 922, 1759, 4959, 2265, 4959,
+ 3367, 4959, 4421, 4959, 1953, 4959, 1, 566, 5, 4971, 6, 4973,
+ 1950, 4971, 1949, 4971, 9, 4978, 586, 4970, 586, 4971, 587, 4970,
+ 4985, 4987, 4827, 4971, 9, 4971, 1949, 4992, 4745, 4971, 4569, 4971,
+ 587, 4971, 4983, 5001, 1, 1086, 9, 5005, 1, 922, 3369, 5009,
+ 555, 5009, 257, 5009, 1, 932, 0, 88, 3171, 5019, 10, 5018,
+ 101, 5023, 101, 5019, 10, 5019, 107, 5029, 0, 934, 375, 5033,
+ 0, 1108, 587, 5037, 1, 1362, 265, 5041, 1, 88, 93, 5045,
+ 1643, 5047, 93, 5044, 1645, 5051, 1645, 5045, 2135, 5045, 973, 5044,
+ 4745, 5059, 3163, 5045, 3173, 5045, 3167, 5045, 7, 5044, 10, 5044,
+ 10, 5045, 11, 5044, 3807, 5075, 5073, 5075, 33, 5045, 21, 5045,
+ 973, 5045, 4805, 5085, 3807, 5045, 4279, 5045, 4283, 5045, 4745, 5045,
+ 11, 5045, 5071, 5097, 1, 1304, 1, 1108, 973, 5103, 972, 5102,
+ 5105, 5107, 972, 5103, 973, 5102, 5111, 5113, 257, 5103, 0, 260,
+ 0, 580, 0, 136, 0, 668, 1, 260, 4139, 5127, 4138, 5127,
+ 264, 5126, 5131, 5133, 264, 5127, 4137, 5137, 265, 5126, 4137, 5141,
+ 5137, 5142, 5129, 5141, 5138, 5141, 5137, 5141, 4137, 5150, 265, 5127,
+ 4137, 5154, 5133, 5157, 5133, 5155, 4137, 5161, 4137, 5127, 265, 5165,
+ 5137, 5167, 265, 5164, 5133, 5171, 1, 580, 1, 136, 5019, 5177,
+ 1, 524, 5125, 5181, 1, 296, 5019, 5185, 0, 1413, 2559, 5189,
+ 2209, 5189, 4925, 5189, 0, 1419, 5181, 5197, 1, 295, 973, 5201,
+ 972, 5201, 49, 5201, 48, 5201, 972, 5200, 5203, 5211, 973, 5200,
+ 5205, 5215, 48, 5200, 5207, 5219, 49, 5200, 5209, 5223, 1, 1413,
+ 1417, 5227, 1, 1291, 5125, 5231, 5197, 5231, 0, 1087, 375, 5237,
+ 0, 923, 1793, 5241, 2941, 5241, 5012, 5241, 3543, 5241, 3559, 5241,
+ 2891, 5241, 5017, 5241, 1955, 5241, 555, 5241, 5009, 5258, 5009, 5241,
+ 555, 5262, 1, 1087, 5037, 5267, 1, 923, 555, 5270, 4959, 5273,
+ 241, 5270, 4959, 5277, 4959, 5271, 555, 5281, 1, 933, 4959, 5285,
+ 0, 935, 375, 5289, 0, 1109, 5005, 5293, 1, 935, 0, 669,
+ 4927, 5299, 1, 525, 4915, 5303, 5299, 5303, 1, 669, 1, 297,
+ 0, 341, 483, 5313, 3747, 5313, 3689, 5313, 3345, 5313, 4415, 5313,
+ 0, 257, 2255, 5325, 4888, 5325, 4881, 5325, 3467, 5325, 2919, 5325,
+ 4871, 5325, 4893, 5336, 4894, 5325, 7, 5324, 4863, 5343, 4872, 5325,
+ 4879, 5347, 4869, 5325, 4893, 5325, 4871, 5352, 5343, 5353, 3, 5325,
+ 5, 5358, 4862, 5360, 4863, 5361, 5363, 5365, 5343, 5364, 4862, 5361,
+ 4863, 5360, 5371, 5373, 5344, 5361, 5343, 5361, 4863, 5378, 5, 5325,
+ 3, 5382, 4862, 5384, 4863, 5385, 5387, 5389, 5343, 5388, 4862, 5385,
+ 4863, 5384, 5395, 5397, 5344, 5385, 5343, 5385, 4863, 5402, 264, 5325,
+ 4863, 5406, 4879, 5409, 5344, 5407, 5343, 5407, 4863, 5414, 4863, 5407,
+ 4871, 5419, 5343, 5418, 7, 5325, 265, 5425, 4863, 5427, 266, 5325,
+ 375, 5325, 4863, 5432, 510, 5325, 483, 5325, 9, 5438, 9, 5325,
+ 483, 5442, 251, 5325, 265, 5446, 265, 5447, 4892, 5325, 265, 5325,
+ 257, 5454, 1, 5457, 7, 5455, 5459, 5461, 0, 5461, 5457, 5465,
+ 251, 5454, 4863, 5454, 4863, 5325, 3, 5472, 5, 5474, 5, 5472,
+ 3, 5478, 375, 5472, 7, 5473, 5361, 5485, 5385, 5485, 5477, 5485,
+ 5481, 5485, 5407, 5485, 264, 5472, 4879, 5497, 5485, 5497, 264, 5473,
+ 4893, 5503, 265, 5472, 265, 5324, 4417, 5509, 251, 5509, 1, 341,
+ 5325, 5515, 331, 5514, 1, 257, 445, 5521, 265, 5522, 449, 5521,
+ 448, 5521, 414, 5521, 415, 5521, 421, 5521, 420, 5521, 253, 5521,
+ 265, 5538, 340, 5521, 341, 5521, 272, 5520, 241, 5546, 273, 5521,
+ 5549, 5551, 272, 5521, 273, 5520, 412, 5521, 251, 5559, 241, 5520,
+ 265, 5562, 5551, 5565, 272, 5563, 5557, 5569, 500, 5521, 432, 5521,
+ 501, 5521, 413, 5520, 5525, 5579, 5529, 5579, 5533, 5579, 5535, 5579,
+ 5555, 5579, 5541, 5579, 251, 5579, 5559, 5592, 5560, 5579, 5559, 5579,
+ 251, 5598, 5577, 5579, 433, 5521, 5579, 5605, 264, 5520, 5543, 5609,
+ 367, 5609, 264, 5521, 299, 5615, 412, 5520, 5527, 5619, 5531, 5619,
+ 5537, 5619, 5551, 5619, 5573, 5619, 5575, 5619, 413, 5521, 375, 5632,
+ 5619, 5635, 251, 5632, 5619, 5639, 5619, 5633, 251, 5643, 483, 5632,
+ 5619, 5647, 9, 5632, 5619, 5651, 7, 5521, 265, 5654, 5609, 5657,
+ 265, 5655, 5615, 5661, 2227, 5521, 375, 5665, 4841, 5521, 375, 5669,
+ 375, 5520, 2227, 5673, 4841, 5673, 4827, 5673, 375, 5521, 413, 5680,
+ 5619, 5683, 413, 5681, 5559, 5687, 483, 5521, 413, 5690, 5619, 5693,
+ 413, 5691, 5559, 5697, 9, 5521, 413, 5700, 5619, 5703, 413, 5701,
+ 5559, 5707, 251, 5521, 413, 5710, 5619, 5713, 413, 5711, 5559, 5717,
+ 265, 5521, 445, 5720, 5579, 5723, 253, 5720, 5579, 5727, 7, 5720,
+ 5609, 5731, 4827, 5521, 3, 5735, 5, 5736, 5, 5735, 3, 5740,
+ 375, 5735, 7, 5734, 5739, 5747, 5743, 5747, 264, 5735, 5747, 5753,
+ 265, 5735, 265, 5520, 2647, 5759, 5545, 5759, 1783, 5759, 241, 5758,
+ 5551, 5767, 0, 1171, 4714, 5771, 4716, 5771, 4720, 5771, 4724, 5771,
+ 2850, 5771, 1413, 5771, 4713, 5782, 922, 5771, 4713, 5786, 4718, 5771,
+ 903, 5790, 2849, 5771, 903, 5794, 483, 5771, 4722, 5798, 903, 5798,
+ 4713, 5802, 4713, 5798, 903, 5806, 4722, 5771, 483, 5810, 903, 5771,
+ 4718, 5814, 2849, 5814, 483, 5814, 4713, 5820, 4713, 5814, 483, 5824,
+ 4713, 5771, 1413, 5828, 922, 5828, 483, 5828, 903, 5834, 903, 5828,
+ 483, 5838, 0, 973, 1895, 5843, 2037, 5843, 1597, 5843, 1601, 5843,
+ 2142, 5843, 2313, 5843, 4810, 5843, 1715, 5843, 1771, 5843, 1935, 5843,
+ 2140, 5843, 2139, 5843, 955, 5866, 9, 5866, 375, 5843, 4805, 5872,
+ 483, 5843, 9, 5843, 2139, 5878, 955, 5843, 2139, 5882, 1011, 5843,
+ 4805, 5843, 375, 5888, 1, 1171, 3, 5892, 4663, 5895, 903, 5897,
+ 483, 5892, 4663, 5901, 903, 5903, 4663, 5893, 1413, 5907, 922, 5907,
+ 483, 5907, 903, 5912, 903, 5907, 483, 5916, 1, 973, 956, 5920,
+ 4745, 5923, 88, 5920, 4745, 5927, 5, 5920, 4745, 5931, 1011, 5933,
+ 3, 5920, 955, 5936, 4745, 5939, 9, 5936, 4745, 5943, 4745, 5937,
+ 955, 5947, 9, 5947, 375, 5920, 4745, 5953, 955, 5920, 3, 5956,
+ 4745, 5959, 5325, 5921, 9, 5920, 3, 5964, 4745, 5967, 4745, 5921,
+ 375, 5971, 0, 767, 903, 5974, 4617, 5977, 483, 5979, 4617, 5975,
+ 1413, 5983, 922, 5983, 903, 5983, 483, 5988, 483, 5983, 903, 5992,
+ 0, 567, 4989, 5997, 4983, 5997, 5001, 6000, 5002, 5997, 4984, 5997,
+ 4987, 6007, 5001, 5997, 4983, 6010, 3, 5997, 7, 6014, 4970, 6016,
+ 4971, 6017, 6019, 6021, 4970, 6017, 4971, 6016, 6025, 6027, 7, 5997,
+ 3, 6030, 4970, 6032, 4971, 6033, 6035, 6037, 4970, 6033, 4971, 6032,
+ 6041, 6043, 3, 5996, 7, 6047, 2, 5996, 4992, 6051, 6015, 6051,
+ 7, 6055, 4971, 6057, 9, 6051, 4971, 6060, 4971, 6051, 9, 6064,
+ 586, 5997, 4971, 6068, 4987, 6071, 4971, 6069, 4983, 6075, 2, 5997,
+ 6048, 6079, 4971, 6081, 7, 6079, 6047, 6084, 4971, 6087, 4971, 6085,
+ 6047, 6091, 6047, 6079, 7, 6094, 4971, 6097, 4992, 5997, 587, 6101,
+ 2839, 5997, 587, 6105, 9, 5997, 4971, 6108, 587, 6111, 4971, 5997,
+ 2, 6115, 7, 6117, 4975, 6117, 586, 6114, 4987, 6123, 5, 6114,
+ 6, 6127, 6117, 6129, 6119, 6127, 586, 6115, 5001, 6135, 9, 6114,
+ 587, 6139, 587, 6115, 9, 6143, 0, 67, 4636, 6147, 37, 6147,
+ 3008, 6147, 4656, 6147, 4650, 6147, 7, 6146, 4643, 6159, 2233, 6159,
+ 4625, 6159, 9, 6165, 5, 6147, 6, 6169, 36, 6147, 4625, 6172,
+ 3807, 6173, 4648, 6147, 9, 6178, 3003, 6147, 9, 6182, 33, 6146,
+ 6151, 6187, 3856, 6187, 3837, 6187, 9, 6192, 9, 6187, 3837, 6196,
+ 33, 6147, 4652, 6200, 3807, 6201, 9, 6205, 9, 6200, 4625, 6208,
+ 3807, 6209, 4625, 6200, 9, 6214, 4652, 6147, 33, 6218, 9, 6147,
+ 4648, 6222, 3003, 6222, 33, 6222, 4625, 6228, 3807, 6229, 33, 6223,
+ 3837, 6235, 4625, 6222, 33, 6238, 4625, 6147, 75, 6243, 4629, 6243,
+ 7, 6243, 4627, 6249, 6171, 6243, 375, 6243, 36, 6242, 33, 6242,
+ 9, 6258, 9, 6242, 33, 6262, 0, 89, 5079, 6267, 5071, 6267,
+ 5097, 6270, 5098, 6267, 5072, 6267, 5075, 6277, 5097, 6267, 5071, 6280,
+ 107, 6267, 5, 6267, 7, 6286, 5044, 6288, 5045, 6289, 6291, 6293,
+ 5044, 6289, 5045, 6288, 6297, 6299, 7, 6267, 5, 6302, 5044, 6304,
+ 5045, 6305, 6307, 6309, 5044, 6305, 5045, 6304, 6313, 6315, 5, 6266,
+ 7, 6318, 5045, 6321, 7, 6319, 7, 6266, 5, 6326, 5045, 6329,
+ 5075, 6327, 2221, 6327, 5045, 6327, 4, 6266, 6287, 6339, 7, 6341,
+ 5045, 6343, 10, 6266, 5075, 6347, 2221, 6347, 5045, 6347, 10, 6267,
+ 5097, 6355, 5045, 6354, 5075, 6359, 5045, 6355, 5071, 6363, 1274, 6267,
+ 4, 6267, 6324, 6369, 5045, 6371, 7, 6369, 6319, 6374, 5045, 6377,
+ 5044, 6374, 5045, 6375, 6319, 6383, 6381, 6383, 5044, 6375, 5045, 6374,
+ 6389, 6391, 6319, 6369, 7, 6394, 5045, 6397, 6, 6267, 3, 6400,
+ 3, 6267, 6, 6404, 21, 6267, 11, 6409, 5045, 6411, 5045, 6267,
+ 10, 6414, 5075, 6417, 10, 6415, 5097, 6421, 5311, 6267, 11, 6266,
+ 2969, 6427, 5082, 6427, 5045, 6427, 21, 6432, 21, 6427, 5045, 6436,
+ 1, 767, 4580, 6441, 4582, 6441, 4586, 6441, 4590, 6441, 2862, 6441,
+ 1413, 6441, 4579, 6452, 922, 6441, 4579, 6456, 4584, 6441, 483, 6460,
+ 2861, 6441, 483, 6464, 759, 6440, 903, 6441, 4588, 6470, 483, 6470,
+ 4579, 6474, 4579, 6470, 483, 6478, 4588, 6441, 903, 6482, 483, 6441,
+ 4584, 6486, 2861, 6486, 903, 6486, 4579, 6492, 4579, 6486, 903, 6496,
+ 4579, 6441, 1413, 6500, 922, 6500, 903, 6500, 483, 6506, 483, 6500,
+ 903, 6510, 1, 567, 5, 6514, 6, 6517, 4935, 6517, 2137, 6515,
+ 9, 6523, 14, 6515, 2, 6515, 563, 6529, 4935, 6531, 6519, 6529,
+ 4935, 6535, 7, 6529, 6520, 6539, 4935, 6539, 6517, 6542, 6517, 6539,
+ 4935, 6546, 1197, 6529, 4935, 6551, 6, 6515, 5, 6554, 5, 6515,
+ 6, 6558, 5325, 6515, 903, 6515, 9, 6514, 4950, 6567, 587, 6567,
+ 4935, 6570, 4935, 6567, 587, 6574, 241, 6515, 4950, 6515, 9, 6581,
+ 587, 6515, 9, 6585, 4935, 6587, 4935, 6584, 9, 6591, 4935, 6515,
+ 2, 6594, 7, 6597, 5, 6595, 6539, 6601, 6599, 6601, 6, 6601,
+ 6597, 6607, 9, 6595, 587, 6611, 587, 6594, 9, 6615, 5843, 6515,
+ 5313, 6515, 587, 6514, 1, 67, 4594, 6625, 4606, 6625, 3280, 6625,
+ 75, 6625, 4593, 6632, 2146, 6625, 2145, 6625, 9, 6638, 7, 6625,
+ 73, 6643, 4593, 6645, 375, 6625, 4593, 6648, 33, 6624, 4593, 6653,
+ 9, 6655, 9, 6625, 3273, 6658, 2145, 6658, 4593, 6625, 75, 6664,
+ 375, 6664, 36, 6665, 33, 6665, 9, 6672, 9, 6665, 33, 6676,
+ 3273, 6625, 9, 6680, 1, 89, 1657, 6685, 25, 6685, 3565, 6685,
+ 3573, 6685, 3273, 6685, 21, 6684, 483, 6685, 5843, 6685, 11, 6684,
+ 0, 1487, 10, 6705, 7, 6705, 5, 6708, 5, 6705, 7, 6712,
+ 0, 1347, 0, 113, 2149, 6719, 9, 6721, 4736, 6719, 9, 6725,
+ 3023, 6719, 9, 6729, 4740, 6719, 9, 6733, 2879, 6719, 9, 6737,
+ 587, 6719, 4727, 6740, 9, 6743, 25, 6719, 4727, 6746, 9, 6749,
+ 4727, 6719, 5, 6753, 6, 6755, 4731, 6755, 2, 6752, 7, 6761,
+ 6755, 6763, 6757, 6761, 25, 6752, 9, 6769, 587, 6752, 9, 6773,
+ 9, 6753, 25, 6777, 587, 6777, 3255, 6719, 9, 6783, 0, 137,
+ 1, 113, 31, 6788, 2, 6788, 7, 6793, 4669, 6793, 4697, 6789,
+ 14, 6788, 6, 6789, 6, 6788, 5, 6804, 11, 6788, 5, 6808,
+ 5, 6788, 6, 6813, 6, 6812, 4696, 6813, 9, 6813, 4669, 6820,
+ 4669, 6813, 9, 6824, 7, 6788, 6815, 6829, 15, 6788, 6803, 6833,
+ 8, 6788, 8, 6789, 4669, 6839, 1368, 6789, 5, 6789, 35, 6845,
+ 4669, 6847, 6795, 6845, 4669, 6851, 6, 6845, 6796, 6855, 4669, 6855,
+ 6793, 6858, 6793, 6855, 4669, 6862, 1171, 6845, 4669, 6867, 17, 6845,
+ 4669, 6871, 7, 6789, 6811, 6875, 6807, 6875, 6817, 6875, 6801, 6875,
+ 2, 6874, 2, 6789, 7, 6886, 30, 6788, 3867, 6891, 25, 6788,
+ 4696, 6895, 3867, 6895, 9, 6899, 9, 6894, 3867, 6903, 4669, 6895,
+ 9, 6906, 9, 6895, 4669, 6910, 587, 6788, 4696, 6915, 9, 6915,
+ 4669, 6918, 4669, 6915, 9, 6922, 25, 6789, 4473, 6927, 6791, 6927,
+ 3972, 6927, 3933, 6927, 9, 6934, 9, 6927, 3933, 6938, 4696, 6789,
+ 6837, 6943, 25, 6943, 587, 6943, 9, 6789, 6837, 6951, 4669, 6953,
+ 587, 6951, 4669, 6957, 25, 6951, 4669, 6961, 4669, 6950, 25, 6965,
+ 6837, 6965, 587, 6965, 4669, 6789, 5, 6972, 6, 6975, 2, 6973,
+ 6855, 6979, 6977, 6979, 7, 6979, 6975, 6985, 25, 6973, 9, 6989,
+ 587, 6973, 9, 6993, 9, 6972, 6837, 6997, 25, 6997, 587, 6997,
+ 9, 6973, 6839, 7005, 9, 6788, 6799, 7009, 6840, 7009, 6839, 7009,
+ 4669, 7014, 4669, 7009, 6839, 7018, 25, 7008, 3867, 7023, 25, 7009,
+ 3933, 7027, 1, 137, 6267, 7031, 0, 375, 413, 7034, 413, 7035,
+ 241, 7034, 3307, 7041, 2885, 7041, 0, 261, 0, 803, 16, 7049,
+ 7, 7049, 4, 7052, 4, 7049, 7, 7056, 0, 581, 0, 145,
+ 1, 375, 317, 7064, 265, 7065, 256, 7068, 256, 7069, 4901, 7065,
+ 4, 7065, 2, 7077, 265, 7077, 2, 7076, 4899, 7083, 2, 7065,
+ 265, 7087, 4, 7086, 4899, 7091, 2, 7064, 265, 7064, 3, 7064,
+ 7084, 7099, 7092, 7099, 7083, 7099, 4899, 7104, 7091, 7099, 4899, 7108,
+ 7075, 7099, 4899, 7099, 7083, 7114, 7091, 7114, 240, 7064, 240, 7065,
+ 265, 7123, 7, 7125, 7114, 7123, 7099, 7123, 4899, 7130, 4899, 7123,
+ 7099, 7134, 413, 7065, 7, 7138, 3, 7065, 7079, 7143, 4899, 7145,
+ 7081, 7143, 4899, 7149, 5, 7065, 7089, 7153, 4899, 7155, 445, 7065,
+ 4349, 7159, 7121, 7159, 367, 7065, 4863, 7165, 973, 7065, 4805, 7169,
+ 316, 7064, 4067, 7173, 973, 7064, 4745, 7177, 445, 7064, 4371, 7181,
+ 257, 7064, 4841, 7185, 2227, 7185, 4827, 7185, 7071, 7185, 305, 7064,
+ 4067, 7195, 241, 7197, 241, 7194, 4067, 7201, 587, 7064, 257, 7065,
+ 4863, 7207, 7073, 7207, 628, 7065, 587, 7065, 11, 7214, 11, 7065,
+ 587, 7218, 241, 7219, 305, 7065, 4497, 7225, 7067, 7225, 4254, 7225,
+ 4213, 7225, 241, 7232, 241, 7225, 4213, 7236, 4900, 7065, 7121, 7241,
+ 7095, 7241, 7097, 7241, 241, 7065, 7095, 7249, 4899, 7251, 7097, 7249,
+ 4899, 7255, 6, 7249, 7121, 7249, 4899, 7261, 4899, 7248, 7121, 7265,
+ 7095, 7265, 7097, 7265, 4899, 7065, 241, 7272, 7121, 7275, 7095, 7275,
+ 7097, 7275, 241, 7273, 7123, 7283, 241, 7064, 4371, 7287, 7141, 7287,
+ 7127, 7287, 7075, 7287, 7134, 7287, 7123, 7287, 4899, 7298, 4899, 7287,
+ 7123, 7302, 305, 7286, 4067, 7307, 305, 7287, 4213, 7311, 1, 261,
+ 413, 7315, 3357, 7315, 264, 7319, 265, 7318, 7321, 7323, 264, 7318,
+ 265, 7319, 7327, 7329, 1, 803, 737, 7332, 4799, 7333, 1274, 7332,
+ 6, 7333, 2, 7341, 2, 7340, 4787, 7345, 2, 7333, 6, 7348,
+ 4787, 7351, 2, 7332, 6, 7332, 3, 7356, 587, 7332, 3, 7360,
+ 3, 7332, 7346, 7365, 7352, 7365, 7345, 7365, 4787, 7370, 7351, 7365,
+ 4787, 7374, 6, 7365, 6, 7364, 7337, 7365, 4787, 7365, 7345, 7384,
+ 7351, 7384, 7, 7332, 7379, 7391, 1275, 7332, 7341, 7395, 482, 7332,
+ 482, 7333, 7384, 7401, 7365, 7401, 4787, 7404, 4787, 7401, 7365, 7408,
+ 3, 7333, 7343, 7413, 4787, 7415, 7, 7333, 7363, 7419, 7359, 7419,
+ 7381, 7419, 7339, 7419, 736, 7332, 3997, 7429, 713, 7332, 3997, 7433,
+ 483, 7435, 483, 7432, 3997, 7439, 11, 7333, 483, 7443, 713, 7333,
+ 4485, 7447, 7335, 7447, 4188, 7447, 4147, 7447, 483, 7454, 483, 7447,
+ 4147, 7458, 4798, 7333, 7399, 7463, 7355, 7463, 483, 7333, 7355, 7469,
+ 4787, 7471, 7399, 7469, 4787, 7475, 4787, 7468, 7399, 7479, 7355, 7479,
+ 4787, 7333, 483, 7484, 7399, 7487, 7355, 7487, 483, 7485, 7401, 7493,
+ 483, 7332, 7337, 7497, 7408, 7497, 7401, 7497, 4787, 7502, 4787, 7497,
+ 7401, 7506, 713, 7496, 3997, 7511, 713, 7497, 4147, 7515, 1, 145,
+ 586, 7519, 7, 7519, 3, 7522, 3, 7519, 7, 7526, 1, 155,
+ 483, 7530, 0, 175, 482, 7535, 6, 7535, 2, 7538, 2, 7535,
+ 6, 7542, 1, 1505, 1011, 7546, 6, 7549, 7, 7549, 6, 7548,
+ 7553, 7555, 7, 7548, 7551, 7559, 1, 1363, 8, 7563, 6, 7563,
+ 4, 7566, 4, 7563, 6, 7570, 1374, 7563, 4423, 7575, 1374, 7562,
+ 4431, 7579, 265, 7562, 5189, 7583, 1, 165, 903, 7586, 6, 7589,
+ 7, 7589, 6, 7588, 7593, 7595, 7, 7588, 7591, 7599, 1, 175,
+ 44, 7602, 45, 7603, 7605, 7607, 44, 7603, 45, 7602, 7611, 7613,
+ 0, 299, 3289, 7617, 2181, 7617, 3307, 7617, 2885, 7617, 1, 299,
+ 4371, 7627, 2801, 7627, 1669, 7627, 5461, 7627, 3295, 7627, 305, 7626,
+ 4067, 7639, 251, 7627, 305, 7627, 4213, 7645, 0, 705, 3371, 7649,
+ 2183, 7649, 0, 101, 3157, 7655, 2185, 7655, 3175, 7655, 6697, 7655,
+ 3037, 7655, 6685, 7655, 21, 7667, 1, 705, 3377, 7671, 713, 7670,
+ 3997, 7675, 555, 7671, 713, 7671, 4147, 7681, 1, 101, 3163, 7685,
+ 25, 7684, 3867, 7689, 21, 7685, 25, 7685, 3933, 7695, 0, 129,
+ 2253, 7699, 21, 7699, 1, 129, 21, 7704, 0, 395, 2247, 7709,
+ 4417, 7709, 265, 7709, 7, 7715, 251, 7709, 0, 829, 2251, 7721,
+ 555, 7721, 1, 395, 2647, 7727, 1719, 7727, 251, 7726, 1, 829,
+ 555, 7734, 0, 298, 265, 7739, 7, 7741, 7627, 7743, 2551, 7739,
+ 7642, 7739, 4417, 7739, 7627, 7739, 251, 7752, 251, 7739, 7627, 7756,
+ 1, 298, 2647, 7761, 1783, 7761, 251, 7760, 7617, 7767, 7617, 7761,
+ 251, 7771, 0, 704, 2555, 7775, 7678, 7775, 7671, 7775, 555, 7780,
+ 555, 7775, 7671, 7784, 0, 100, 2557, 7789, 7692, 7789, 2969, 7789,
+ 5082, 7789, 5045, 7789, 21, 7798, 7685, 7789, 21, 7802, 21, 7789,
+ 7685, 7806, 5045, 7806, 1, 704, 555, 7812, 7649, 7815, 7649, 7813,
+ 555, 7819, 1, 100, 21, 7822, 7655, 7825, 7655, 7823, 21, 7829,
+ 0, 128, 3159, 7833, 2197, 7833, 7707, 7833, 7705, 7833, 21, 7841,
+ 1, 128, 3161, 7845, 7702, 7845, 25, 7844, 3867, 7851, 21, 7845,
+ 7699, 7854, 7699, 7845, 21, 7858, 25, 7845, 3933, 7863, 0, 394,
+ 3291, 7867, 2193, 7867, 7733, 7867, 2885, 7867, 3307, 7867, 7727, 7867,
+ 251, 7879, 0, 828, 3373, 7883, 2195, 7883, 7737, 7883, 7735, 7883,
+ 555, 7891, 1, 394, 4371, 7895, 3293, 7895, 7718, 7895, 1721, 7895,
+ 1725, 7895, 7717, 7895, 305, 7894, 4067, 7909, 251, 7895, 7709, 7912,
+ 7709, 7895, 251, 7916, 305, 7895, 4213, 7921, 1, 828, 3375, 7925,
+ 7724, 7925, 713, 7924, 3997, 7931, 555, 7925, 7721, 7934, 7721, 7925,
+ 555, 7938, 713, 7925, 4147, 7943, 0, 8, 6, 7947, 3, 7948,
+ 1274, 7947, 113, 7947, 3, 7947, 0, 7957, 6, 7956, 0, 7956,
+ 9, 7963, 11, 7957, 587, 7947, 1, 10, 5081, 7971, 5026, 7971,
+ 7, 7971, 2, 7976, 1368, 7971, 5097, 7971, 931, 7971, 1417, 7971,
+ 939, 7971, 941, 7971, 272, 7971, 1476, 7971, 280, 7971, 949, 7971,
+ 1517, 7971, 4696, 7971, 149, 7971, 631, 7971, 970, 7971, 50, 7971,
+ 764, 7971, 357, 7971, 367, 7971, 471, 7971, 1249, 7971, 5019, 7971,
+ 101, 8022, 128, 7971, 101, 7971, 5019, 8028, 4669, 7971, 9, 8032,
+ 759, 7971, 33, 8036, 1471, 7971, 265, 8040, 959, 7971, 33, 8044,
+ 253, 7971, 265, 8048, 113, 7971, 9, 8052, 375, 7971, 88, 7971,
+ 89, 7971, 2, 7971, 1, 8063, 7, 8062, 1, 8062, 11, 8069,
+ 9, 8063, 3, 7971, 9, 8074, 33, 7971, 959, 8078, 47, 8078,
+ 759, 8078, 25, 7971, 305, 7971, 713, 7971, 2, 7970, 8059, 8093,
+ 8077, 8093, 8075, 8093, 9, 8099, 3867, 8093, 3997, 8093, 4067, 8093,
+ 3, 7970, 4696, 8109, 8061, 8109, 8072, 8109, 8063, 8109, 9, 8116,
+ 4669, 8109, 9, 8120, 9, 8109, 4669, 8124, 8063, 8124, 47, 7971,
+ 33, 8130, 53, 7971, 265, 8134, 265, 7971, 253, 8138, 1471, 8138,
+ 53, 8138, 587, 7971, 483, 7971, 9, 7971, 4669, 8150, 113, 8150,
+ 3, 8150, 8093, 8157, 3, 8151, 8063, 8161, 0, 10, 203, 8165,
+ 107, 8165, 5019, 8169, 85, 8165, 2215, 8165, 2221, 8165, 2233, 8165,
+ 5075, 8165, 4643, 8165, 5045, 8165, 25, 8185, 4551, 8165, 922, 8165,
+ 1413, 8165, 273, 8165, 281, 8165, 1477, 8165, 1516, 8165, 948, 8165,
+ 4625, 8165, 9, 8205, 759, 8165, 959, 8165, 67, 8165, 9, 8213,
+ 1505, 8165, 1011, 8216, 88, 8165, 33, 8221, 89, 8165, 5019, 8225,
+ 3, 8165, 33, 8229, 9, 8231, 8063, 8229, 9, 8228, 33, 8237,
+ 2, 8165, 9, 8241, 33, 8165, 1141, 8165, 1447, 8165, 2, 8164,
+ 2215, 8251, 2221, 8251, 5075, 8251, 2233, 8251, 4643, 8251, 8229, 8251,
+ 4625, 8251, 9, 8265, 4295, 8251, 3833, 8251, 4321, 8251, 5045, 8251,
+ 3, 8164, 8241, 8277, 8093, 8277, 3837, 8277, 4287, 8277, 4303, 8277,
+ 128, 8277, 101, 8277, 113, 8277, 9, 8292, 9, 8277, 113, 8296,
+ 47, 8165, 165, 8165, 903, 8302, 265, 8165, 587, 8165, 1011, 8165,
+ 1505, 8310, 1369, 8165, 483, 8165, 903, 8316, 903, 8165, 483, 8320,
+ 165, 8320, 9, 8165, 3, 8326, 33, 8329, 3, 8327, 113, 8333,
+ 0, 240, 4266, 8337, 4888, 8337, 4892, 8337, 4213, 8337, 375, 8344,
+ 4863, 8337, 375, 8348, 265, 8348, 261, 8337, 3335, 8337, 375, 8357,
+ 347, 8337, 386, 8337, 331, 8337, 305, 8337, 375, 8366, 340, 8337,
+ 331, 8371, 375, 8337, 4213, 8374, 4863, 8374, 305, 8374, 1325, 8337,
+ 59, 8337, 7, 8337, 265, 8387, 4213, 8389, 4863, 8389, 305, 8389,
+ 265, 8386, 331, 8397, 7, 8336, 5141, 8401, 5137, 8402, 5137, 8401,
+ 5141, 8406, 5150, 8401, 5154, 8401, 5133, 8413, 5161, 8401, 5127, 8401,
+ 265, 8419, 5137, 8421, 265, 8418, 5133, 8425, 265, 8401, 5127, 8429,
+ 5141, 8431, 5127, 8428, 5133, 8435, 3785, 8401, 4329, 8401, 4311, 8401,
+ 483, 8337, 9, 8337, 1275, 8337, 15, 8337, 265, 8337, 4863, 8452,
+ 257, 8452, 1, 8457, 6, 8452, 1, 8461, 241, 8462, 241, 8461,
+ 1, 8466, 7, 8452, 331, 8471, 7, 8453, 7895, 8475, 7287, 8475,
+ 8465, 8475, 8469, 8475, 7627, 8475, 8459, 8475, 0, 8475, 8457, 8489,
+ 375, 8475, 1, 264, 3293, 8495, 7718, 8495, 3295, 8495, 3305, 8495,
+ 3301, 8495, 5512, 8495, 5451, 8495, 7756, 8495, 7091, 8495, 4899, 8512,
+ 7083, 8495, 4899, 8516, 7092, 8495, 7084, 8495, 4696, 8495, 7075, 8495,
+ 7123, 8495, 4899, 8528, 7134, 8495, 445, 8495, 4349, 8535, 8386, 8495,
+ 331, 8539, 471, 8495, 367, 8495, 357, 8495, 631, 8495, 1249, 8495,
+ 628, 8495, 8387, 8495, 8401, 8495, 4137, 8495, 3863, 8495, 4063, 8495,
+ 8475, 8495, 4371, 8495, 4549, 8495, 4545, 8495, 407, 8495, 1417, 8495,
+ 665, 8495, 338, 8495, 1480, 8495, 336, 8495, 4745, 8495, 4669, 8495,
+ 9, 8586, 4899, 8495, 7091, 8590, 7083, 8590, 7123, 8590, 4569, 8495,
+ 7709, 8495, 251, 8600, 341, 8495, 4863, 8605, 241, 8605, 253, 8495,
+ 331, 8610, 251, 8495, 7709, 8614, 5509, 8614, 7739, 8614, 256, 8495,
+ 375, 8623, 7739, 8495, 251, 8626, 5509, 8495, 251, 8630, 257, 8495,
+ 305, 8635, 53, 8495, 331, 8638, 1471, 8495, 331, 8642, 6, 8495,
+ 4349, 8647, 4497, 8647, 413, 8647, 4213, 8647, 8109, 8647, 4147, 8647,
+ 3933, 8647, 445, 8647, 316, 8647, 4713, 8647, 4863, 8647, 8337, 8647,
+ 305, 8647, 241, 8672, 241, 8647, 305, 8676, 587, 8647, 8387, 8647,
+ 7, 8495, 3785, 8685, 4329, 8685, 4311, 8685, 8337, 8684, 331, 8693,
+ 331, 8685, 8337, 8697, 15, 8685, 241, 8684, 375, 8703, 331, 8495,
+ 253, 8706, 1471, 8706, 53, 8706, 305, 8495, 6, 8494, 8539, 8717,
+ 8693, 8717, 4371, 8717, 8623, 8717, 8703, 8717, 8685, 8717, 8337, 8729,
+ 241, 8729, 471, 8717, 367, 8717, 357, 8717, 1369, 8717, 341, 8717,
+ 241, 8743, 4569, 8717, 4137, 8717, 4063, 8717, 3863, 8717, 8401, 8717,
+ 7, 8494, 8389, 8757, 8555, 8757, 8374, 8757, 8670, 8757, 8635, 8757,
+ 8676, 8757, 8647, 8757, 8337, 8770, 241, 8770, 8337, 8757, 8647, 8776,
+ 375, 8776, 9, 8757, 375, 8757, 8337, 8784, 241, 8757, 1, 8789,
+ 8647, 8791, 8647, 8788, 587, 8495, 11, 8796, 11, 8495, 587, 8800,
+ 9, 8495, 4669, 8804, 1369, 8495, 17, 8495, 241, 8495, 1, 8813,
+ 7, 8815, 8717, 8817, 7, 8814, 8647, 8821, 7, 8812, 8717, 8825,
+ 375, 8825, 7, 8813, 1, 8830, 8647, 8833, 8647, 8831, 331, 8831,
+ 6, 8813, 8337, 8495, 7, 8842, 8717, 8845, 331, 8845, 483, 8843,
+ 9, 8843, 7, 8843, 8647, 8855, 375, 8855, 0, 264, 3299, 8861,
+ 5431, 8861, 5469, 8861, 5449, 8861, 4888, 8861, 4863, 8861, 375, 8872,
+ 629, 8861, 394, 8861, 299, 8861, 659, 8861, 623, 8861, 645, 8861,
+ 101, 8861, 705, 8861, 128, 8861, 828, 8861, 3345, 8861, 3445, 8861,
+ 375, 8899, 2981, 8861, 3049, 8861, 7195, 8861, 3461, 8861, 4613, 8861,
+ 331, 8910, 4614, 8861, 375, 8861, 4863, 8916, 241, 8916, 803, 8861,
+ 483, 8922, 113, 8861, 9, 8926, 256, 8861, 331, 8931, 5455, 8861,
+ 251, 8935, 7, 8861, 331, 8939, 241, 8941, 241, 8938, 331, 8945,
+ 331, 8861, 4613, 8948, 7, 8860, 3837, 8953, 8093, 8953, 394, 8953,
+ 299, 8953, 375, 8953, 241, 8962, 4303, 8953, 4287, 8953, 241, 8953,
+ 375, 8970, 483, 8861, 803, 8974, 9, 8861, 113, 8978, 17, 8861,
+ 241, 8861, 375, 8984, 7, 8984, 331, 8989, 7, 8985, 375, 8993,
+ 1, 240, 3342, 8997, 2900, 8997, 8672, 8997, 8743, 8997, 3795, 8997,
+ 8770, 8997, 8729, 8997, 2658, 8997, 7159, 8997, 2703, 8997, 2660, 8997,
+ 413, 8997, 8757, 8997, 8647, 9022, 8684, 8997, 8717, 9027, 8605, 8997,
+ 457, 8997, 2647, 9032, 8647, 8997, 305, 9036, 8757, 9036, 8916, 8997,
+ 257, 8997, 2647, 8997, 375, 9046, 457, 9046, 3341, 8997, 375, 9052,
+ 2897, 8997, 375, 9056, 305, 8997, 8647, 9060, 340, 8997, 8717, 9065,
+ 3785, 9065, 8495, 9065, 375, 8997, 3341, 9072, 2897, 9072, 2647, 9072,
+ 8861, 9072, 7, 8997, 413, 9082, 0, 9085, 1, 9083, 264, 9088,
+ 264, 9089, 8495, 9082, 8717, 9095, 8495, 9083, 8757, 9099, 305, 9099,
+ 265, 9083, 2897, 9105, 3341, 9105, 2647, 9105, 9087, 9105, 1, 9105,
+ 9085, 9115, 9093, 9105, 8861, 9105, 265, 9082, 8717, 9123, 3785, 9123,
+ 9091, 9123, 8495, 9123, 483, 8997, 9, 8997, 265, 8997, 7, 9136,
+ 8717, 9139, 3785, 9139, 8495, 9139, 7, 9137, 8647, 9147, 8495, 8997,
+ 7, 9150, 8717, 9153, 7, 9151, 8647, 9157, 8861, 8997, 375, 9160,
+ 0, 482, 6, 9165, 4, 9167, 803, 9165, 5, 9165, 587, 9173,
+ 9, 9173, 5, 9164, 17, 9179, 19, 9165, 12, 9165, 9, 9165,
+ 11, 9186, 11, 9165, 9, 9190, 1, 586, 4795, 9195, 807, 9195,
+ 4787, 9198, 4788, 9195, 4790, 9195, 8374, 9195, 8389, 9195, 4797, 9195,
+ 8086, 9195, 8090, 9195, 8251, 9195, 4283, 9195, 4279, 9195, 3807, 9195,
+ 1491, 9195, 631, 9195, 1160, 9195, 1466, 9195, 764, 9195, 357, 9195,
+ 367, 9195, 471, 9195, 1249, 9195, 8800, 9195, 8647, 9195, 4787, 9195,
+ 807, 9246, 375, 9246, 33, 9195, 759, 9252, 1141, 9195, 759, 9256,
+ 803, 9195, 375, 9195, 4787, 9262, 8337, 9262, 8165, 9195, 265, 9269,
+ 566, 9195, 567, 9195, 7971, 9195, 25, 9276, 713, 9276, 8495, 9195,
+ 11, 9282, 4, 9195, 483, 9287, 5, 9195, 17, 9291, 483, 9290,
+ 759, 9195, 1141, 9296, 1447, 9296, 33, 9296, 713, 9195, 7971, 9304,
+ 25, 9195, 7971, 9308, 8337, 9195, 375, 9312, 4, 9194, 9273, 9317,
+ 9295, 9317, 9291, 9317, 483, 9323, 4279, 9317, 3807, 9317, 4283, 9317,
+ 8251, 9317, 5, 9194, 9275, 9335, 9288, 9335, 9287, 9335, 483, 9340,
+ 8647, 9335, 9, 9335, 483, 9335, 9287, 9348, 1447, 9195, 759, 9352,
+ 11, 9195, 8495, 9357, 8495, 9356, 9, 9195, 1011, 9195, 483, 9195,
+ 5, 9366, 9317, 9369, 5, 9367, 9287, 9373, 0, 586, 7, 9377,
+ 4, 9378, 16, 9377, 8800, 9377, 273, 9377, 1477, 9377, 281, 9377,
+ 948, 9377, 1516, 9377, 750, 9377, 386, 9377, 347, 9377, 510, 9377,
+ 767, 9377, 375, 9377, 305, 9406, 713, 9406, 165, 9377, 903, 9412,
+ 8495, 9377, 11, 9416, 566, 9377, 759, 9421, 5, 9377, 759, 9425,
+ 483, 9427, 483, 9424, 759, 9431, 4, 9377, 0, 9435, 7, 9434,
+ 0, 9434, 587, 9441, 713, 9435, 713, 9377, 375, 9446, 305, 9377,
+ 375, 9450, 4, 9376, 767, 9455, 5, 9376, 3837, 9459, 8093, 9459,
+ 828, 9459, 705, 9459, 803, 9459, 483, 9468, 4287, 9459, 4303, 9459,
+ 483, 9459, 803, 9476, 1505, 9377, 1011, 9480, 11, 9377, 8495, 9484,
+ 903, 9377, 165, 9488, 9, 9377, 483, 9492, 1011, 9377, 1505, 9496,
+ 483, 9377, 9, 9500, 5, 9500, 759, 9505, 5, 9501, 803, 9509,
+ 1, 482, 6, 9513, 5, 9514, 14, 9513, 5, 9513, 1, 9521,
+ 6, 9520, 1, 9520, 483, 9527, 11, 9513, 0, 902, 524, 9533,
+ 1291, 9533, 767, 9533, 7, 9533, 3, 9541, 305, 9533, 375, 9544,
+ 386, 9533, 347, 9533, 375, 9533, 305, 9552, 483, 9533, 11, 9556,
+ 11, 9533, 483, 9560, 1, 1010, 5038, 9565, 5037, 9565, 587, 9568,
+ 668, 9565, 1419, 9565, 8982, 9565, 7, 9564, 3867, 9579, 8277, 9579,
+ 9459, 9579, 8953, 9579, 4067, 9579, 3997, 9579, 375, 9565, 483, 9565,
+ 9, 9565, 587, 9596, 587, 9565, 5037, 9600, 9, 9600, 17, 9565,
+ 8861, 9606, 8861, 9565, 7, 9611, 17, 9610, 0, 1010, 9535, 9617,
+ 9537, 9617, 9559, 9617, 9563, 9617, 5, 9617, 6, 9627, 7, 9627,
+ 5006, 9617, 5005, 9617, 9, 9634, 9362, 9617, 1290, 9617, 9533, 9641,
+ 525, 9617, 9533, 9645, 8804, 9617, 8150, 9617, 922, 9617, 1413, 9617,
+ 7971, 9617, 9, 9656, 6, 9617, 11, 9661, 9195, 9617, 9, 9664,
+ 6, 9616, 17, 9669, 7, 9616, 9195, 9673, 9317, 9673, 4321, 9673,
+ 3833, 9673, 4295, 9673, 5045, 9673, 19, 9617, 12, 9617, 11, 9617,
+ 9, 9690, 483, 9617, 903, 9694, 1275, 9617, 17, 9698, 9533, 9701,
+ 9, 9617, 5005, 9704, 9195, 9704, 7971, 9704, 8495, 9704, 11, 9704,
+ 17, 9617, 1275, 9716, 9533, 9719, 903, 9617, 483, 9722, 8495, 9617,
+ 9, 9726, 1, 902, 9573, 9731, 9575, 9731, 9599, 9731, 9605, 9731,
+ 1418, 9731, 9565, 9741, 669, 9731, 9565, 9745, 8386, 9731, 7, 9731,
+ 8337, 9750, 7, 9730, 9673, 9755, 8251, 9755, 4283, 9755, 3807, 9755,
+ 4279, 9755, 483, 9731, 15, 9731, 1369, 9768, 9565, 9771, 1369, 9731,
+ 15, 9774, 9565, 9777, 1011, 9731, 8337, 9731, 7, 9782, 9617, 9731,
+ 6, 9786, 7, 9786, 6, 9787, 9791, 9793, 7, 9787, 9789, 9797,
+ 0, 1274, 5, 9801, 1, 1368, 4904, 9805, 4903, 9805, 9, 9808,
+ 9484, 9805, 1517, 9805, 1476, 9805, 272, 9805, 280, 9805, 949, 9805,
+ 1197, 9805, 1471, 9805, 265, 9826, 253, 9805, 265, 9830, 53, 9805,
+ 265, 9834, 5, 9804, 3867, 9839, 8277, 9839, 8953, 9839, 9459, 9839,
+ 3997, 9839, 4067, 9839, 11, 9805, 9377, 9852, 9, 9805, 4903, 9856,
+ 265, 9805, 1471, 9860, 253, 9860, 53, 9860, 9377, 9805, 11, 9868,
+ 5, 9869, 0, 1368, 5075, 9875, 2221, 9875, 4643, 9875, 2233, 9875,
+ 2215, 9875, 4339, 9875, 7, 9875, 5, 9888, 4, 9889, 10, 9875,
+ 8714, 9875, 8800, 9875, 4625, 9875, 9, 9901, 47, 9875, 305, 9875,
+ 8495, 9906, 959, 9875, 5045, 9875, 4551, 9875, 1325, 9875, 59, 9875,
+ 331, 9875, 5, 9875, 0, 9923, 7, 9922, 0, 9922, 1369, 9929,
+ 9287, 9923, 4, 9875, 1011, 9935, 8495, 9875, 10, 9938, 10, 9939,
+ 305, 9938, 11, 9938, 9943, 9947, 11, 9939, 9941, 9951, 4, 9874,
+ 8495, 9955, 8717, 9955, 4329, 9955, 4311, 9955, 3785, 9955, 5, 9874,
+ 9195, 9967, 9755, 9967, 9317, 9967, 3833, 9967, 4295, 9967, 4321, 9967,
+ 5045, 9967, 759, 9875, 11, 9875, 8495, 9984, 17, 9875, 903, 9875,
+ 265, 9875, 15, 9875, 9195, 9875, 241, 9997, 1, 1274, 6,10001,
+ 4,10002, 4,10003, 8,10001, 5123,10001, 5,10011, 4,10010,
+10013,10015, 4,10011, 5,10010,10019,10021, 341,10001, 4663,10001,
+ 903,10027, 1471,10001, 253,10001, 53,10001, 4,10001, 1,10037,
+ 6,10036, 1,10036, 1275,10043, 5,10001, 9935,10047, 8337,10001,
+ 9,10051, 5,10000, 8685,10055, 1369,10055, 8401,10055, 3863,10055,
+ 4137,10055, 4063,10055, 4569,10055, 9955,10055, 241,10001, 17,10001,
+ 1369,10001, 5,10077, 0, 14, 6,10081, 2,10082, 482,10081,
+ 2,10081, 0,10089, 6,10088, 0,10088, 15,10095, 2,10080,
+ 17,10099, 1369,10081, 17,10081, 1, 16, 7,10107, 3,10108,
+ 586,10107, 8306,10107, 1447,10107, 1141,10107, 9875,10107, 241,10121,
+ 265,10120, 9992,10107, 545,10107, 695,10107, 1382,10107, 1374,10107,
+ 1386,10107, 59,10107, 1369,10138, 154,10107, 483,10143, 1325,10107,
+ 1369,10146, 331,10107, 1369,10150, 3,10107, 1,10155, 7,10154,
+ 1,10154, 17,10161, 8241,10155, 15,10154, 483,10167, 3,10106,
+ 9673,10171, 8251,10171, 3807,10171, 4279,10171, 4283,10171, 9967,10171,
+ 33,10107, 1369,10107, 331,10186, 1325,10186, 59,10186, 1011,10107,
+ 265,10107, 8165,10196, 9875,10196, 1275,10107, 15,10107, 3,10204,
+ 483,10207, 3,10205, 1369,10211, 8165,10107, 265,10214, 0, 16,
+ 4,10219, 3,10220, 3,10221, 7,10219, 2,10226,10225,10229,
+ 2,10227,10223,10233, 1368,10219,10225,10237, 902,10219,10233,10241,
+ 59,10219, 1325,10219, 331,10219, 3,10219, 4,10250,10233,10253,
+ 2,10219, 7,10256,10225,10259, 903,10257, 8495,10219, 587,10265,
+10001,10219, 903,10269, 2,10218, 8495,10273, 8717,10273,10055,10273,
+ 4311,10273, 4329,10273, 3785,10273, 265,10219, 1275,10219, 1, 14,
+ 8982,10291, 8861,10291, 17,10294, 4745,10291, 1011,10299, 53,10291,
+ 253,10291, 1471,10291, 2,10291, 3,10291, 483,10311,10257,10311,
+ 59,10291, 17,10316, 62,10291, 1325,10291, 17,10322, 331,10291,
+ 17,10326, 1328,10291, 334,10291, 393,10291, 1359,10291, 1031,10291,
+ 499,10291, 8337,10291, 483,10343, 9875,10291, 1011,10347, 3,10290,
+ 8685,10351, 1369,10351, 8401,10351, 9955,10351, 4063,10351, 4137,10351,
+ 3863,10351, 4569,10351,10273,10351, 241,10291, 1369,10291, 17,10291,
+ 8861,10374, 59,10374, 1325,10374, 331,10374, 1, 11, 340,10385,
+ 341,10385, 264,10385, 375,10391, 1010,10385, 264,10384, 341,10397,
+10387,10397, 5,10385, 6,10402, 2,10402, 2,10403, 7,10385,
+ 265,10410,10397,10413, 265,10411,10391,10417, 5,10384, 29,10421,
+ 341,10421, 6,10421, 25,10427, 8262,10385, 9,10431, 8279,10385,
+ 9,10435, 88,10384, 3807,10439, 6347,10439, 6327,10439, 8251,10439,
+ 9875,10439, 8165,10439, 8229,10385, 8251,10452, 9,10455, 9,10453,
+ 8251,10459, 8241,10385, 33,10385, 6685,10465, 9,10465, 6267,10385,
+ 101,10471, 8240,10385, 8296,10475, 8277,10475, 9,10478, 9,10475,
+ 8277,10482, 8228,10385, 6719,10385, 9,10489, 265,10384,10389,10493,
+ 5313,10493, 8251,10385, 8229,10498, 9,10501, 483,10384, 5197,10505,
+ 5125,10505, 1275,10384, 1369,10385, 6685,10513, 9,10513, 1011,10385,
+ 265,10385, 7,10520,10397,10523, 2,10384,10423,10527,10428,10527,
+10427,10527, 25,10532,10425,10527, 340,10527,10397,10539,10399,10527,
+10392,10527, 375,10527,10391,10546, 7,10527, 265,10550,10397,10553,
+ 265,10551,10391,10557,10391,10527, 375,10560,10463,10527, 9,10565,
+10487,10527, 9,10569,10519,10527, 6,10573, 7,10572,10575,10577,
+ 7,10573, 6,10572,10581,10583, 25,10527,10427,10586, 8165,10527,
+ 903,10527, 265,10527, 7,10594,10397,10597, 9,10527, 3,10384,
+10482,10603, 5,10602, 6,10607, 5,10603, 6,10611,10475,10613,
+10458,10603,10395,10603, 6,10619, 7,10618,10621,10623, 7,10619,
+ 6,10618,10627,10629,10407,10603, 6,10633, 7,10632,10635,10637,
+ 7,10633, 6,10632,10641,10643, 8326,10603,10453,10603, 9,10648,
+10475,10603, 9,10652, 9875,10603, 9,10657,10521,10603, 375,10661,
+ 9,10602, 8251,10665, 3807,10665, 9875,10665, 8165,10665, 8165,10603,
+ 9,10674, 9,10675, 3807,10603, 9,10681, 9,10603,10475,10684,
+10453,10684, 8165,10684, 8251,10603, 9,10693, 2,10385,10613,10697,
+ 8165,10699,10646,10697, 8327,10697,10690,10697,10676,10697, 5,10696,
+10603,10711, 6,10713, 7,10712,10715,10717, 7,10713, 6,10712,
+10721,10723, 8326,10697,10603,10726, 8251,10727,10674,10697, 9,10732,
+ 8165,10696,10613,10737,10705,10737, 8296,10737,10684,10737, 8277,10737,
+ 9,10746,10603,10737, 9,10750, 9,10737,10603,10754, 8277,10754,
+ 265,10697, 8165,10697,10684,10762, 8251,10763, 9,10767, 9,10762,
+10603,10770, 8251,10771,10603,10762, 9,10776,10684,10697, 8165,10780,
+ 8165,10781, 9,10697,10674,10786, 8165,10786,10603,10790, 8251,10791,
+ 8165,10787,10603,10797, 8277,10797,10603,10786, 8165,10802, 8165,10803,
+10603,10697, 8326,10808, 8165,10808, 9,10812, 8165,10809, 9,10817,
+ 9,10808, 8165,10820, 8165,10821, 67,10697,10427,10827, 3,10385,
+ 8225,10831, 8242,10831,10427,10831,10409,10831, 6,10839, 7,10838,
+10841,10843, 7,10839, 6,10838,10847,10849, 7,10831,10421,10853,
+ 375,10831,10590,10831, 9,10859, 8165,10830,10527,10863, 9,10865,
+ 8165,10831,10527,10868, 9,10871, 9,10831, 8241,10874,10527,10831,
+ 8326,10879, 8165,10878, 9,10883, 8165,10879, 9,10886, 9,10879,
+ 8165,10890, 8165,10891, 8241,10831, 9,10896, 89,10384, 88,10385,
+ 8225,10903, 8165,10385, 264,10907, 1368,10906,10909,10911, 7,10906,
+ 2,10915, 2,10914,10909,10919, 265,10915, 5,10907, 3,10924,
+10919,10927,10911,10927, 3,10925,10917,10933, 1369,10925, 1369,10906,
+ 265,10907,10939,10941, 2,10907,10937,10945, 8229,10945, 9,10949,
+10831,10945, 9,10953, 3,10907, 5,10957, 6,10959,10786,10957,
+ 5,10956,10919,10965,10911,10965,10697,10957, 9,10970, 9,10957,
+10697,10974, 2,10906,10961,10979,10613,10979, 8296,10979,10974,10979,
+10684,10979, 7,10978,10927,10991,10965,10991,10909,10991, 8277,10979,
+ 9,10998,10957,10979, 9,11002,10603,10979, 9,11006, 9,10979,
+10603,11010, 8277,11010,10957,11010, 3,10906,10923,11019,10945,11019,
+ 9,11023,10527,11019, 9,11027, 9,10384, 1369,11031, 33,11031,
+ 3,11030, 8251,11037, 3807,11037, 9875,11037, 8165,11037, 3,11031,
+ 8241,11047, 1, 9, 69,11051, 6625,11053, 981,11050, 980,11050,
+ 4745,11059, 7966,11050, 7967,11050, 4,11050, 7,11067, 1275,11067,
+ 7954,11051, 7967,11051,11063,11075, 120,11050, 3867,11079, 112,11050,
+11073,11083, 66,11050, 8251,11087, 1941,11087, 6159,11087, 3807,11087,
+ 9875,11087, 8165,11087, 121,11050, 7966,11051,11065,11103, 7957,11051,
+ 11,11106, 1141,11051, 1447,11051, 67,11051, 7,11114,11087,11117,
+ 113,11051,11083,11121, 7947,11123, 7947,11120,11083,11127, 89,11051,
+ 8495,11131, 25,11050, 113,11134, 3867,11137, 3867,11135, 113,11141,
+ 567,11050, 4950,11145, 587,11145, 4935,11148, 4935,11145, 587,11152,
+ 973,11050, 3,11156, 4745,11159, 587,11051, 566,11162, 566,11163,
+ 567,11163,11165,11169, 567,11162,11167,11173, 1011,11051, 1369,11051,
+ 6625,11179, 7956,11051, 7955,11051, 33,11051, 6625,11187, 25,11051,
+11101,11191, 3984,11191, 3023,11191, 3933,11191, 113,11198, 113,11191,
+ 3933,11202, 973,11051, 2139,11207,11057,11207, 567,11051, 4971,11213,
+ 587,11215, 257,11051, 483,11219, 483,11050, 257,11223, 1011,11050,
+ 973,11227, 972,11226,11229,11231, 972,11227, 973,11226,11235,11237,
+ 257,11227, 265,11050, 5019,11243, 903,11051, 7,11246, 2,11050,
+11187,11251,11073,11251,11127,11251,11207,11251,11113,11251,11111,11251,
+11075,11251,11179,11251,11121,11251, 7947,11269, 25,11251, 5019,11251,
+ 3,11050,11068,11276,11069,11277,11279,11281,11068,11277,11069,11276,
+11285,11287,11185,11277, 973,11276, 4745,11293,11103,11277,11109,11277,
+11249,11277, 10,11276, 10,11277, 11,11276, 8251,11307, 3807,11307,
+ 9875,11307,11305,11307, 8165,11307, 33,11277, 7971,11319, 8165,11277,
+ 25,11323, 7947,11277, 973,11277, 4805,11329, 3807,11277, 8251,11277,
+ 4279,11277, 4283,11277, 9673,11277, 9967,11277, 9875,11277, 4745,11277,
+ 11,11277,11303,11349, 7971,11349, 2,11051,11315,11355,11303,11355,
+11349,11358,11350,11355,11304,11355,11307,11365,11349,11355,11303,11368,
+ 5,11355, 7,11372,11276,11374,11277,11375,11377,11379,11276,11375,
+11277,11374,11383,11385, 7,11355, 5,11388,11276,11390,11277,11391,
+11393,11395,11276,11391,11277,11390,11399,11401, 5,11354, 7,11404,
+11277,11407, 7,11405, 7,11354,11087,11413, 5,11412,11277,11417,
+11307,11413,11277,11413, 4,11354,11373,11425, 7,11427,11277,11429,
+ 10,11354,11087,11433,11307,11433,11277,11433, 10,11355,11349,11441,
+11277,11440,11307,11445,11277,11441,11303,11449, 4,11355,11410,11453,
+11277,11455, 7,11453,11405,11458,11277,11461,11276,11458,11277,11459,
+11405,11467,11465,11467,11276,11459,11277,11458,11473,11475,11405,11453,
+ 7,11478,11277,11481, 1,11452, 1,11355, 4,11486, 67,11355,
+ 1275,11355, 9,11493,11485,11495,11489,11495, 7947,11355, 11,11501,
+11277,11503,11277,11355, 10,11506,11307,11509, 10,11507,11349,11513,
+ 11,11354,11326,11517,11277,11517, 7947,11520, 7947,11517,11277,11524,
+ 3,11051, 8213,11529, 8052,11529, 7971,11529, 113,11534, 113,11529,
+ 7971,11538, 8241,11529, 7947,11528, 483,11529, 112,11051,11326,11549,
+11277,11549, 7947,11552, 7947,11549,11277,11556, 67,11050,11187,11561,
+11053,11561,11179,11561, 66,11051, 113,11050,11556,11571,11185,11571,
+11549,11571, 7947,11576, 25,11570, 3867,11581, 7947,11571,11549,11584,
+ 25,11571, 3933,11589, 7947,11051, 113,11592,11083,11595,11251,11595,
+ 113,11593,11549,11601, 3,11593,11549,11605,11517,11605, 3,11592,
+ 11,11051, 8116,11613, 8099,11613,11272,11613,11561,11613,11491,11613,
+11251,11613, 25,11624, 8074,11613, 8093,11629, 25,11613,11251,11632,
+ 8109,11613, 8063,11636, 8063,11613, 8109,11640, 7957,11612,11277,11645,
+ 6625,11613, 113,11613, 2,11613,11183,11653,11545,11653,11611,11653,
+11529,11653, 7947,11661, 3,11613, 7971,11664, 8093,11667, 7971,11665,
+ 8109,11671, 2,11612,11605,11675,11326,11675,11277,11675, 7947,11680,
+ 7947,11675,11277,11684, 7971,11613, 3,11688, 8093,11691, 3,11689,
+ 8063,11695, 11,11050,11355,11699, 113,11701, 1369,11699,11251,11705,
+ 33,11699,11251,11709, 3,11698, 8251,11713, 3807,11713,11433,11713,
+11413,11713, 9875,11713, 8165,11713, 3,11699, 8241,11727, 0, 11,
+ 8095,11731, 8112,11731, 6688,11731, 6285,11731, 203,11730, 2351,11741,
+ 8159,11731, 8162,11731, 8128,11731, 8114,11731, 8097,11731, 8118,11731,
+ 8100,11731, 5,11730, 1369,11759, 8116,11731, 9,11762, 8099,11731,
+ 9,11766, 181,11731, 98,11731, 5019,11773, 8058,11731, 8093,11777,
+ 8156,11731, 8093,11781, 8076,11731, 8093,11785, 30,11731, 8124,11731,
+ 8063,11790, 8072,11731, 8109,11794, 8063,11731, 8161,11798, 8124,11798,
+ 8109,11798, 9,11804, 9,11798, 8109,11808, 25,11731, 6685,11812,
+ 9,11812, 89,11731, 5019,11819, 21,11821, 21,11818, 5019,11825,
+ 2759,11731, 2789,11731, 2821,11731, 6658,11731, 6685,11731, 25,11836,
+ 4413,11731, 113,11731, 9,11842, 128,11731, 659,11731, 623,11731,
+ 645,11731, 705,11731, 299,11731, 828,11731, 394,11731, 241,11731,
+ 375,11862, 483,11731, 803,11866, 8074,11731, 8093,11871, 9,11873,
+ 9,11870, 8093,11877, 101,11731, 21,11731, 89,11882, 5019,11885,
+ 89,11883, 5045,11889, 8061,11731, 8109,11892, 803,11731, 483,11896,
+ 375,11731, 241,11900, 587,11901, 6625,11731, 9,11906, 6789,11731,
+ 2,11911, 6855,11913, 1369,11730, 587,11730, 375,11919, 8109,11731,
+ 8061,11922, 8072,11922, 8063,11922, 9,11928, 9,11922, 8063,11932,
+ 145,11731, 903,11730, 375,11939, 265,11731, 8161,11731, 8063,11944,
+ 2,11730, 8124,11949, 8804,11949, 3972,11949, 8150,11949, 8495,11949,
+ 9,11958, 7971,11949, 9,11962, 3933,11949, 9,11966, 9,11949,
+ 8109,11970, 8495,11970, 3933,11970, 7971,11970, 8109,11949, 9,11980,
+ 3,11730, 483,11985, 2,11731, 8075,11989, 9,11991, 3,11731,
+ 8151,11994, 5,11995, 6,11999, 0,11998, 0,11995, 5,12004,
+ 8150,11994, 8093,12009, 7971,11994, 8093,12013, 9,12015, 9,12012,
+ 8093,12019, 1369,11995, 11,12023,12003,12025,12007,12025, 7971,11995,
+ 8161,12031,11997,12031, 8124,12031, 8109,12031, 9,12038, 9,12031,
+ 8109,12042, 9,11994, 7971,12046, 8093,12049, 7971,12047, 8109,12053,
+ 89,11730, 5082,12057, 2969,12057, 5045,12057, 21,12062, 21,12057,
+ 5045,12066, 88,11731, 7971,12070, 8093,12073, 7971,12071, 8109,12077,
+ 8150,11731, 3,12080, 8093,12083, 3,12081, 8063,12087, 7971,11731,
+ 1368,12091, 264,12090,12093,12095, 5,12090, 3,12099, 3,12098,
+12093,12103, 1369,12099, 7,12091, 2,12108,12103,12111,12095,12111,
+ 2,12109,12101,12117, 265,12109, 265,12090, 1369,12091,12123,12125,
+ 88,12090, 8093,12129, 88,12091, 8061,12133, 2,12091,12001,12137,
+ 7,12136,12103,12141,12095,12141, 9,12137, 3,12091, 8061,12149,
+ 8072,12149,12121,12149, 8063,12149, 9,12156, 9,12149, 8063,12160,
+ 2,12090,12107,12165,12149,12165, 9,12169, 3,12090, 5,12173,
+ 6,12175,12137,12177,12146,12173, 5,12172,12111,12183,12141,12183,
+12093,12183, 8093,12173, 9,12191,12137,12173, 9,12194, 9,12172,
+ 8093,12199, 9,12173,12137,12202, 9,12090, 3,12206, 8093,12209,
+ 3,12207, 8063,12213, 9,11731, 8116,12216, 8099,12216, 8074,12216,
+ 8093,12223, 25,12216, 8109,12216, 8063,12228, 8063,12216, 8109,12232,
+ 6625,12216, 113,12216, 3,12216, 7971,12240, 8093,12243, 7971,12241,
+ 8109,12247, 7971,12216, 3,12250, 8093,12253, 3,12251, 8063,12257,
+ 0, 9, 192,12261, 2329,12263, 211,12261, 2419,12267, 211,12260,
+ 2433,12271, 192,12260, 2337,12275, 189,12260, 2337,12279, 4,12261,
+ 7,12282, 413,12260, 413,12261, 1216,12260, 1216,12261, 1086,12261,
+ 9617,12295, 137,12261, 587,12261, 1011,12300, 9617,12303, 1011,12301,
+ 9565,12307, 1011,12261, 9617,12311, 587,12313, 587,12310, 9617,12317,
+ 1011,12260, 5267,12321, 9600,12321, 9565,12321, 587,12326, 587,12321,
+ 9565,12330, 587,12260, 5231,12335, 5181,12335,10505,12335, 1275,12261,
+ 2,12260,10001,12345, 5,12347, 4,12346,12349,12351, 4,12347,
+ 5,12346,12355,12357, 3,12260,11243,12361,11251,12361, 5177,12361,
+ 5185,12361, 2,12261, 3,12261,11355,12373, 1, 265, 471,12376,
+ 2647,12379, 357,12376, 1785,12383, 586,12377, 375,12387, 586,12376,
+ 413,12377, 3,12377, 7,12394, 375,12397, 7,12395, 331,12401,
+ 483,12395, 15,12405, 5,12377, 17,12409, 587,12411, 3,12376,
+ 669,12415, 1418,12415,12413,12415, 1369,12415, 15,12422, 15,12415,
+ 1369,12426, 5,12376,12417,12431, 1419,12431,12415,12435, 668,12431,
+12415,12439,12419,12431,12407,12431,12429,12431, 9,12431, 587,12448,
+12415,12451,12425,12431, 587,12431, 9,12456,12415,12459, 6719,12377,
+ 9,12463, 7867,12377, 251,12467, 3357,12377, 3681,12377, 3709,12377,
+ 2647,12377, 5843,12377, 4407,12377,11917,12377, 305,12377, 713,12377,
+ 25,12377, 4405,12377, 7041,12377, 251,12493, 1471,12376, 2011,12497,
+ 53,12376, 2035,12501, 257,12377, 253,12376, 5325,12507, 251,12376,
+ 7867,12511, 7617,12511, 7041,12511, 7617,12377, 251,12519, 1363,12376,
+ 5189,12523, 483,12377, 9,12377, 8938,12377, 375,12531, 5313,12377,
+ 7035,12377, 7091,12537, 7083,12537, 7123,12537, 241,12537, 11,12376,
+ 5313,12547, 587,12376,12387,12551,11731,12551, 9,12376, 5019,12557,
+12361,12557, 1369,12376, 11,12377, 587,12377,12391,12567, 7,12376,
+ 2,12571, 4,12572,12537,12575, 4,12571, 2,12578,12537,12581,
+12545,12571, 240,12571,12537,12587, 8948,12571, 331,12571, 8861,12592,
+ 8861,12571, 331,12596, 4827,12571, 6,12377, 257,12603, 265,12605,
+ 241,12603, 1,12609,12607,12611, 7,12377, 3,12614, 375,12617,
+ 8861,12614, 375,12621, 375,12615, 8861,12625, 241,12614, 375,12629,
+ 257,12376, 2647,12633, 1783,12633, 256,12377, 375,12639, 8861,12377,
+ 261,12643, 260,12643, 256,12643, 6,12643, 241,12650, 7,12643,
+ 241,12654, 331,12655, 6,12642,12645,12661, 7,12642,12647,12665,
+12653,12665, 375,12665, 241,12643, 6,12672,12665,12675, 7,12672,
+ 6,12673,12679,12681,12655,12681, 7,12673,12675,12687, 241,12377,
+ 7,12691, 331,12693, 7,12690, 375,12697, 8997,12691, 7,12701,
+ 241,12376, 4457,12705, 374,12705, 5189,12705, 265,12705, 6,12712,
+ 8386,12705, 6,12705, 265,12718, 7,12705, 8337,12722, 8337,12705,
+ 7,12726, 8861,12705, 6,12731, 7,12731, 6,12730,12735,12737,
+ 7,12730,12733,12741, 1, 241, 448,12745, 4349,12747, 445,12744,
+ 1679,12751, 457,12744, 4371,12755, 8461,12744, 8475,12759, 277,12744,
+ 4457,12763, 923,12744, 4959,12767, 8388,12744, 8389,12744, 4,12745,
+ 11,12775, 1369,12777, 2,12745, 1275,12781, 9,12783, 2,12744,
+ 1419,12787, 668,12787,12779,12787, 587,12787, 9,12794, 9,12787,
+ 587,12798, 4,12744,12789,12803, 669,12803,12787,12807, 1418,12803,
+12787,12811,12791,12803,12785,12803,12801,12803, 15,12803, 1369,12820,
+12787,12823,12797,12803, 1369,12803, 15,12828,12787,12831, 445,12745,
+ 265,12834, 4349,12837, 923,12745, 5009,12841, 8374,12745, 346,12745,
+ 2981,12847, 386,12745, 387,12745, 3049,12853, 347,12745, 8389,12745,
+12771,12859, 1412,12745, 5227,12863, 346,12744, 2977,12867,12857,12867,
+ 386,12744, 4067,12873,12853,12873, 1412,12744, 5189,12879, 374,12744,
+12845,12883, 387,12744, 3043,12887,12851,12887, 347,12744,12847,12893,
+ 272,12745, 4453,12897, 4437,12897, 1755,12897, 8388,12745, 8495,12905,
+12773,12905, 8387,12745, 265,12911, 8861,12913, 265,12910, 8495,12917,
+ 253,12745, 59,12744, 1325,12744, 341,12745, 375,12745,12883,12929,
+ 8337,12931, 8337,12928,12883,12935, 4371,12745, 457,12939, 375,12939,
+ 4531,12745, 375,12945, 8366,12745, 375,12949, 305,12744, 4457,12953,
+ 375,12952, 4067,12957, 4067,12953, 375,12961, 331,12744, 4457,12965,
+12927,12965, 8386,12745, 8495,12971, 331,12971, 1325,12971, 59,12971,
+ 265,12971, 8375,12745, 8495,12983, 305,12745,12887,12987, 4266,12987,
+ 3031,12987, 4213,12987, 375,12994, 8337,12986, 375,12999, 375,12987,
+ 4213,13002, 5325,12745, 7,13007, 5361,13009, 5385,13009, 5407,13009,
+ 1275,12744, 15,12744, 8475,12745, 375,13021, 8461,13021, 6,12744,
+ 8429,13027, 8428,13027, 4139,13027, 4138,13027, 3,13026, 5,13036,
+ 5,13026, 3,13040, 264,13026,13031,13045,13035,13045, 264,13027,
+ 8401,13051, 4137,13051, 265,13026, 8401,13057,13051,13058,13029,13057,
+13052,13057, 4137,13057,13051,13066,13033,13057,13054,13057,13051,13057,
+ 8401,13074, 4137,13074, 4137,13027, 265,13081,13051,13083, 265,13080,
+13045,13087, 341,13027, 265,13027, 8401,13092,13045,13095, 4137,13092,
+13045,13099,13045,13093, 8401,13103, 4137,13103, 8401,13027, 265,13109,
+13051,13111, 265,13108,13045,13115, 7,12744, 8605,13119, 8374,13119,
+ 8916,13119, 8389,13119, 412,13119, 241,13119, 265,13130, 264,13118,
+ 264,13119, 8452,13119, 8647,13119, 265,13118,13137,13143, 8861,13119,
+ 375,13146, 8337,13119, 375,13150, 265,13150, 305,13119, 713,13119,
+ 25,13119, 375,13119, 8861,13162, 8337,13162, 265,13119, 241,13168,
+13135,13169, 8337,13168, 6,12745,12965,13177,13145,13177,13139,13177,
+ 8453,13177,13119,13185,12923,13177,12925,13177,13135,13177,13169,13192,
+13172,13177,13136,13177,13143,13199,13175,13177,13155,13177,13169,13177,
+13135,13206, 3,13177, 5,13210,13118,13212,13119,13213,13215,13217,
+13118,13213,13119,13212,13221,13223, 5,13177, 3,13226,13118,13228,
+13119,13229,13231,13233,13118,13229,13119,13228,13237,13239, 264,13177,
+13119,13242,13143,13245,13119,13243,13135,13249, 413,13177, 8452,13177,
+ 8861,13255, 305,13177, 8337,13177, 265,13260, 8861,13263, 265,13261,
+ 8495,13267, 265,13177, 8337,13270, 8861,13273, 8861,13271, 8337,13277,
+13119,13177, 264,13280,13143,13283, 264,13281,13169,13287, 265,13280,
+13287,13291, 265,13281,13283,13295, 8387,13177, 264,13299, 265,13298,
+13301,13303, 264,13298, 265,13299,13307,13309, 265,13176, 8842,13313,
+ 8495,13313, 8337,13316, 8337,13313, 8495,13320, 7,12745,13039,13325,
+13043,13325,13045,13325, 241,13324, 0,13333, 8717,13325, 8495,13325,
+ 8337,13339, 305,13339, 4311,13325, 4329,13325, 3785,13325,10351,13325,
+10055,13325, 8337,13324, 8495,13355, 331,13355, 1325,13355, 59,13355,
+ 265,13355, 59,13325, 8337,13367, 1325,13325, 8337,13371, 331,13325,
+ 8337,13375, 8861,13375, 265,13325,13051,13381,13335,13381, 5325,13381,
+ 1,13381,13333,13389, 8861,13381, 8337,13381,13027,13325, 264,13396,
+ 264,13397, 265,13396,13401,13403, 265,13397,13399,13407, 265,13324,
+ 8717,13411, 3785,13411,13045,13411, 8495,13411, 374,12745, 8842,13421,
+ 8495,13421, 8337,13424, 8337,13421, 8495,13428, 340,12745, 8717,13433,
+13045,13433, 3785,13433, 8495,13433, 375,12744, 4371,13443,13428,13443,
+12983,13443, 8475,13443,13421,13443, 8337,13452, 305,13442, 4067,13457,
+ 8337,13443,13421,13460, 305,13443, 4213,13465, 8452,12745, 8647,13469,
+ 7,13469, 8495,13473, 8337,12745, 375,13476,12883,13479, 375,13477,
+ 305,13483,13421,13483, 305,13476, 375,13489, 6,13477, 8453,13493,
+ 8452,13492,13495,13497, 8452,13493, 8453,13492,13501,13503, 7,13477,
+13213,13507,13229,13507, 375,13507,13243,13507, 265,13507,13177,13517,
+ 6,13476, 3,13521, 5,13522,13507,13525, 5,13521, 3,13528,
+13507,13531,13517,13521, 264,13521,13507,13537, 7,13476, 8495,13541,
+ 331,13541, 1325,13541, 59,13541, 265,13541, 265,13476, 8647,13553,
+ 7,13553, 8495,13557, 265,13477,13177,13561,13521,13561, 7,13561,
+ 265,12745, 445,13568, 4349,13571, 445,13569, 4371,13575, 8770,13569,
+ 8729,13569,13027,13569, 375,13583, 8684,13569, 8717,13587, 331,13569,
+13177,13591, 8757,13569, 8647,13594, 8647,13569, 8757,13598, 8387,13568,
+ 8495,13603, 6,13569, 7,13569, 8647,13609, 8495,13608, 8717,13613,
+ 8495,13609, 8757,13617, 6,13568, 8842,13621, 8495,13621, 8337,13624,
+13609,13621, 8337,13621, 8495,13630, 7,13568, 8717,13635, 3785,13635,
+13045,13635, 8495,13635,13607,13635, 8337,13568, 8647,13647, 7,13647,
+ 8495,13651, 8495,13569, 6,13654, 7,13654, 8717,13659, 6,13655,
+13659,13663, 7,13655,13657,13667, 8647,13667, 265,12744,13258,13673,
+12845,13673,13091,13673,12935,13673,12927,13673,12929,13673, 8337,13685,
+13479,13673,12911,13673,13260,13673,12859,13673, 4457,13673, 5189,13673,
+13177,13673, 305,13700, 8337,13700, 305,13673,13177,13706, 8386,13673,
+ 7,13673, 8337,13712, 8861,13673, 6,13717, 7,13717, 6,13716,
+13721,13723, 7,13716,13719,13727, 8337,13673,13177,13730, 7,13730,
+ 1, 587, 264,13737, 375,13739, 16,13737, 264,13736, 341,13745,
+ 7,13737, 4,13748, 4,13749, 3,13736, 717,13755, 341,13755,
+ 6,13755, 713,13761, 17,13755, 566,13736, 1108,13737, 9565,13769,
+11731,13737, 265,13772,11942,13737, 3565,13737, 3573,13737, 3273,13737,
+ 375,13736, 113,13736, 4696,13787, 9,13787, 4669,13790, 4669,13787,
+ 9,13794, 1011,13737, 9565,13799, 9,13801, 9,13798, 9565,13805,
+ 241,13737, 9,13737, 1011,13810, 9565,13813, 1011,13811, 9617,13817,
+ 113,13737, 4727,13821, 9,13823, 7049,13737, 807,13827, 375,13827,
+ 265,13736,11731,13833, 1487,13737, 1011,13736, 5293,13839, 9704,13839,
+ 9617,13839, 9,13844, 9,13839, 9617,13848, 265,13737,11731,13852,
+ 4,13736,13757,13857,13762,13857,13761,13857, 713,13862,13759,13857,
+ 340,13857,13745,13869,13747,13857,13740,13857, 375,13857,13739,13876,
+ 7,13857, 265,13880,13745,13883, 265,13881,13739,13887,13739,13857,
+ 375,13890, 713,13857,13761,13894, 265,13857, 7,13898,13745,13901,
+ 483,13857, 5,13736,13853,13907, 375,13909, 483,13906, 4,13737,
+ 7,13914, 767,13915,13761,13919, 5,13737, 3,13923, 1,13924,
+ 1,13923, 3,13928, 17,13923, 587,13933,13927,13935,13931,13935,
+ 567,13736, 483,13736, 5,13942, 1, 483, 9174,13946, 9175,13946,
+ 2,13947, 7,13952, 2,13946, 7,13957, 6,13946, 9170,13947,
+ 9175,13947,13949,13965, 824,13946, 3997,13969, 802,13946,13963,13973,
+ 766,13946, 825,13946, 9174,13947,13951,13981, 803,13947,13973,13985,
+ 9165,13987, 9165,13984,13973,13991, 713,13946, 803,13994, 3997,13997,
+ 3997,13995, 803,14001, 1171,13946, 4663,14005, 903,14007, 155,13946,
+ 9172,13947, 9171,13947, 713,13947,13979,14017, 4200,14017, 3027,14017,
+ 4147,14017, 803,14024, 803,14017, 4147,14028, 1171,13947, 4722,14033,
+ 903,14033, 4713,14036, 4713,14033, 903,14040, 257,13947, 9,14045,
+ 9,13946, 257,14049, 903,13946, 257,14053, 11,13946, 5197,14057,
+ 5125,14057,12335,14057, 4,13946, 2,14065, 7,14067,14013,14069,
+ 5,13946,13958,14072,13959,14073,14075,14077,13958,14073,13959,14072,
+14081,14083, 586,14072, 586,14073, 587,14072,14089,14091, 4827,14073,
+ 9,14073, 4569,14073, 4745,14073, 587,14073,14087,14103, 4,13947,
+14093,14107,14087,14107,14103,14110,14104,14107,14088,14107,14091,14117,
+14103,14107,14087,14120, 3,14107, 7,14124,14072,14126,14073,14127,
+14129,14131,14072,14127,14073,14126,14135,14137, 7,14107, 3,14140,
+14072,14142,14073,14143,14145,14147,14072,14143,14073,14142,14151,14153,
+ 3,14106, 7,14157, 2,14106,14125,14161, 7,14163,14073,14165,
+ 586,14107,14073,14168,14091,14171,14073,14169,14087,14175, 2,14107,
+14158,14179,14073,14181, 7,14179,14157,14184,14073,14187,14073,14185,
+14157,14191,14157,14179, 7,14194,14073,14197,14073,14107, 586,14200,
+14091,14203, 586,14201,14103,14207, 5,13947,14069,14211, 9165,14213,
+ 6,14211, 9165,14210,14069,14219, 17,14211, 802,13947, 9165,14225,
+ 803,13946,14226,14229,14015,14229,14225,14229, 9165,14234, 713,14228,
+ 3997,14239, 9165,14229,14225,14242, 713,14229, 4147,14247, 9165,13947,
+ 803,14250,13973,14253, 803,14251,14225,14257, 4,14251, 2,14261,
+ 7,14263, 5,14250,14265,14267,14069,14267, 587,13947, 9340,14273,
+ 9323,14273, 9290,14273, 9317,14279, 9335,14273, 9287,14282, 9287,14273,
+ 9335,14286, 5,14273, 9195,14290, 9317,14293, 9195,14291, 9335,14297,
+ 9195,14273, 5,14300, 9317,14303, 5,14301, 9287,14307, 587,13946,
+ 5,14310, 0, 265, 446,14315, 4371,14317, 445,14314, 1675,14321,
+ 8725,14315, 8766,14315, 471,14314, 2367,14329, 8827,14315, 8836,14315,
+ 319,14314, 4497,14337, 1302,14315, 667,14315, 8794,14315, 8768,14315,
+ 8727,14315, 8774,14315, 8732,14315, 1011,14315, 1275,14354, 3,14315,
+ 1369,14359, 11,14361, 5,14315, 9,14365, 1275,14367, 3,14314,
+ 1291,14371, 524,14371,14369,14371, 483,14371, 11,14378, 11,14371,
+ 483,14382, 5,14314, 525,14387,14371,14389,14373,14387,14375,14387,
+ 1290,14387,14371,14397,14363,14387,14385,14387,14381,14387, 17,14387,
+ 1275,14406,14371,14409, 1275,14387, 17,14412,14371,14415, 8770,14315,
+ 241,14418, 8729,14315, 241,14422, 445,14315, 241,14426, 4371,14429,
+ 1303,14315, 666,14315, 8784,14315, 4266,14315, 8622,14315, 8717,14441,
+ 8824,14315, 8717,14445, 8702,14315, 8717,14449, 256,14314, 7185,14453,
+ 2309,14453, 5673,14453, 5521,14453, 375,14461, 4213,14315, 375,14464,
+ 316,14315, 4533,14469, 1757,14469, 8697,14315, 629,14315, 407,14315,
+ 5325,14479, 3121,14315, 3031,14315, 5519,14315, 3355,14315, 510,14315,
+ 8788,14315, 8647,14492, 8676,14315, 8757,14496, 8647,14315, 8831,14500,
+ 8788,14500, 8757,14500, 241,14506, 241,14500, 8757,14510, 331,14315,
+ 1325,14315, 59,14315, 5521,14315, 375,14521, 375,14315, 4213,14524,
+ 8757,14524, 53,14525, 1471,14525, 253,14525, 253,14314, 4425,14537,
+ 4497,14537, 483,14315, 9,14542, 9,14315, 483,14546, 8684,14315,
+ 8717,14551, 241,14553, 241,14550, 8717,14557, 331,14551, 251,14315,
+ 257,14563, 8495,14565, 8635,14315, 8757,14568, 5515,14315, 331,14573,
+ 8757,14315, 8635,14576, 8676,14576, 8647,14576, 241,14582, 375,14576,
+ 241,14576, 8647,14588, 1369,14314, 2853,14593, 15,14315, 1275,14315,
+ 1011,14598, 587,14315, 241,14602, 8831,14315, 8647,14606, 6,14314,
+14341,14611,14343,14611,14601,14611,14357,14611, 8495,14611, 241,14611,
+ 7,14314,14433,14625,14435,14625,14605,14625, 8495,14625, 3785,14625,
+10055,14625,10351,14625, 4329,14625, 4311,14625, 4555,14625,14073,14625,
+ 4971,14625, 8717,14625, 7,14315, 8813,14652,14623,14653, 8495,14657,
+ 4,14653, 2,14660,14620,14663, 8495,14663,14611,14666,14611,14663,
+ 8495,14670, 2,14653, 4,14674,14620,14677, 8495,14677,14611,14680,
+14611,14677, 8495,14684, 240,14653,14620,14689, 8495,14689,14611,14692,
+14611,14689, 8495,14696, 8812,14652, 8717,14701, 8495,14652, 8717,14705,
+ 241,14707, 241,14704, 8717,14711, 331,14705, 15,14653, 483,14717,
+ 1275,14653, 9,14721, 8495,14653, 8831,14725,14655,14725, 8788,14725,
+ 8757,14725, 241,14732, 241,14725, 8757,14736, 375,14653, 8647,14653,
+ 241,14652, 8647,14745, 8495,14744, 8717,14749, 8495,14745, 8757,14753,
+ 257,14314, 8614,14757, 4417,14757, 8495,14757, 251,14762, 251,14757,
+ 8495,14766, 256,14315, 8647,14771, 7207,14771, 5432,14771, 5325,14771,
+ 375,14778, 8495,14770, 8717,14783, 375,14771, 5325,14786, 8495,14771,
+ 8757,14791, 8812,14315, 6,14794, 7,14794, 8717,14799, 6,14795,
+14799,14803, 7,14795,14797,14807, 8647,14807, 8495,14315, 261,14812,
+ 260,14812, 256,14812, 8717,14819, 256,14813, 8635,14823, 6,14813,
+14815,14827, 7,14813,14817,14831, 8635,14831, 8676,14831, 8647,14831,
+ 241,14838, 375,14831, 241,14831, 8647,14844, 6,14812, 241,14848,
+14831,14851, 7,14812, 8717,14855, 241,14857, 241,14854, 8717,14861,
+ 331,14855, 241,14812, 6,14866,14831,14869, 7,14866, 8717,14873,
+ 6,14867,14873,14877,14855,14877, 7,14867,14869,14883, 8647,14883,
+ 241,14315, 445,14888, 4371,14891, 445,14889, 4349,14895, 8770,14888,
+ 8729,14888, 587,14888,14625,14903, 8684,14888, 8717,14907, 8757,14888,
+ 8647,14910, 8387,14889, 8495,14915, 8647,14888, 8757,14918, 6,14889,
+ 8842,14923, 8495,14923, 8337,14926, 8337,14923, 8495,14930, 7,14889,
+ 8717,14935, 3785,14935, 8495,14935, 6,14888,14935,14943, 7,14888,
+ 8647,14947, 8495,14946, 8717,14951,14923,14947, 8495,14947, 8757,14957,
+ 8495,14888, 6,14960, 7,14960, 8717,14965, 6,14961,14965,14969,
+ 7,14961,14963,14973, 8647,14973, 8337,14889, 8647,14979, 7,14979,
+ 8495,14983,12745,14315, 375,14987, 241,14314, 9099,14991, 9036,14991,
+ 8647,14991, 8997,14996, 5521,14991, 375,15001, 375,14991, 9082,14991,
+ 8495,15007, 7,14991, 8495,15011, 8997,15013, 8997,15010, 8495,15017,
+ 8997,14991, 8647,15020, 7,15020, 8495,15025, 0, 241, 460,15029,
+ 2315,15031, 479,15029, 2393,15035, 479,15028, 2397,15039, 460,15028,
+ 2317,15043, 457,15028, 2317,15047, 269,15028, 2885,15051, 464,15029,
+ 16,15029, 413,15029, 6,15058, 4,15029, 7,15062, 7,15063,
+ 15,15063, 483,15069, 2,15029, 587,15073, 17,15075, 2,15028,
+ 525,15079, 1290,15079,15071,15079, 1275,15079, 17,15086, 17,15079,
+ 1275,15090, 4,15028, 1291,15095,15079,15097,15081,15095,15083,15095,
+ 524,15095,15079,15105,15077,15095,15093,15095,15089,15095, 11,15095,
+ 483,15114,15079,15117, 483,15095, 11,15120,15079,15123, 9072,15029,
+ 305,15127, 9105,15029, 305,15131, 9083,15029, 413,15135, 412,15134,
+15137,15139, 412,15135, 413,15134,15143,15145, 3445,15029, 375,15149,
+12526,15029,12528,15029, 251,15029, 375,15029, 305,15159, 8997,15161,
+ 8997,15158, 305,15165,12614,15029, 375,15169, 7065,15029, 265,15173,
+ 7259,15175, 305,15028, 9105,15179, 9072,15179, 375,15179, 8997,15184,
+ 8997,15179, 375,15188, 9082,15029, 375,15193, 265,15193, 5521,15029,
+ 375,15199, 265,15199, 483,15029,12377,15204, 9,15029,12377,15208,
+ 17,15029,13737,15029, 375,15215, 6,15028, 3,15219, 5,15220,
+15193,15223, 5,15219, 3,15226,15193,15229,15197,15219,15057,15219,
+ 3,15235, 2,15234,15237,15239, 2,15235, 3,15234,15243,15245,
+15065,15219, 3,15249, 2,15248,15251,15253, 2,15249, 3,15248,
+15257,15259, 264,15219,15193,15263, 8997,15219, 7,15028, 4437,15269,
+15213,15269, 3,15273, 2,15272,15275,15277, 2,15273, 3,15272,
+15281,15283,12571,15269, 4805,15269, 4613,15269,14073,15269, 375,15269,
+ 510,15269, 4971,15269, 483,15269, 9,15300, 9,15269, 483,15304,
+ 6,15029, 9020,15309, 9021,15309,12393,15309,12392,15309, 8337,15309,
+ 265,15318, 8452,15308, 241,15322, 8453,15309,15325,15327, 8452,15309,
+ 8453,15308, 412,15309, 8997,15335, 241,15308, 265,15338,15327,15341,
+ 8452,15339,15333,15345,15067,15309, 3,15349, 2,15348,15351,15353,
+ 2,15349, 3,15348,15357,15359, 413,15308,15313,15363,15315,15363,
+15331,15363,15321,15363, 8997,15363,15335,15372,15336,15363,15335,15363,
+ 8997,15378, 412,15308,15311,15383,15317,15383,15327,15383, 413,15309,
+12377,15390,15383,15393, 8997,15390,15383,15397,15383,15391, 8997,15401,
+12377,15309, 413,15404,15383,15407, 413,15405,15335,15411, 8997,15309,
+ 413,15414,15383,15417, 413,15415,15335,15421, 265,15309, 8337,15424,
+15363,15427, 265,15308, 241,15430,15327,15433, 7,15029,15223,15437,
+ 8997,15439,15229,15437, 8997,15443,15263,15437, 8997,15447, 4,15436,
+15219,15451, 3,15453, 2,15452,15455,15457, 2,15453, 3,15452,
+15461,15463, 264,15436, 264,15437,12377,15436, 375,15471, 8997,15436,
+15223,15475,15229,15475, 375,15475,15263,15475, 265,15475,15219,15485,
+ 59,15437, 1325,15437, 331,15437, 1275,15437, 9,15495, 15,15437,
+ 483,15499, 265,15437,15266,15503,15219,15503, 8997,15506,15467,15503,
+ 8997,15503,15219,15512, 305,15503, 265,15436,15469,15519, 331,15519,
+ 375,15028, 3307,15525, 2885,15525,12511,15525,12377,15525, 251,15533,
+ 340,15029, 331,15537, 9136,15029, 7,15541, 8997,15029, 375,15544,
+ 305,15547, 305,15545, 375,15551, 6,15545, 3,15555, 5,15556,
+ 5,15555, 3,15560, 264,15555, 7,15545, 8495,15567, 331,15567,
+ 1325,15567, 59,15567, 265,15567, 7,15544,15559,15579,15563,15579,
+15223,15579,15229,15579, 375,15579,15263,15579,15565,15579, 265,15579,
+15219,15595,15555,15595, 265,15544,15555,15601, 7,15601, 265,15545,
+ 8647,15607, 7,15607, 8495,15611, 265,15029, 7,15615, 375,15617,
+ 7,15614, 331,15621, 8997,15614, 7,15625,12377,15029,13421,15629,
+13313,15629,13621,15629,14923,15629,12721,15629,12715,15629,12709,15629,
+ 375,15629,12705,15645, 7,15629, 331,15649, 483,15628, 9,15628,
+ 7,15628, 375,15657, 265,15028, 9036,15661, 9099,15661, 241,15661,
+ 6,15667,15629,15669, 8647,15661, 8997,15672, 5521,15661, 375,15677,
+ 9082,15661, 8495,15681, 375,15661, 7,15661, 8495,15687, 8997,15689,
+ 8997,15686, 8495,15693, 8997,15661, 8647,15696, 7,15696, 8495,15701,
+ 0, 587, 9319,15705, 9336,15705, 889,15704, 2373,15711, 9371,15705,
+ 9374,15705, 9350,15705, 9338,15705, 9321,15705, 9342,15705, 9324,15705,
+ 578,15705, 3,15705, 6,15730, 7,15705, 567,15735, 9195,15737,
+ 4,15735, 9366,15741, 483,15741, 9195,15744, 9195,15741, 483,15748,
+ 7,15704, 9340,15705, 483,15754, 9323,15705, 483,15758, 579,15705,
+ 9272,15705, 9317,15765, 9368,15705, 9317,15769, 9294,15705, 9317,15773,
+ 566,15704,15729,15777, 9348,15705, 9287,15780, 9288,15705, 9335,15784,
+ 9287,15705, 9373,15788, 9348,15788, 9335,15788, 483,15794, 483,15788,
+ 9335,15798, 567,15705, 9,15802,15777,15805,15777,15803, 9,15809,
+12377,15705, 11,15813, 9,15705, 567,15816,15777,15819, 567,15817,
+ 9290,15705, 9317,15825, 483,15827, 483,15824, 9317,15831, 9275,15705,
+ 9335,15834, 375,15705, 11,15839, 11,15704, 375,15843, 9335,15705,
+ 9275,15846, 9288,15846, 9287,15846, 483,15852, 483,15846, 9287,15856,
+ 9,15704, 5231,15861, 5181,15861,10505,15861,14057,15861, 1011,15704,
+ 375,15871, 9373,15705, 9287,15874, 4,15704, 9262,15879, 375,15879,
+ 9195,15882, 7,15879, 265,15887, 9195,15889, 9195,15879, 375,15892,
+ 483,15879, 5,15704, 5,15705, 9367,15900, 9366,15900, 9317,15905,
+ 9195,15900, 9317,15909, 483,15911, 483,15908, 9317,15915, 9195,15901,
+ 9373,15919,15903,15919, 9348,15919, 9335,15919, 483,15926, 483,15919,
+ 9335,15930, 483,15900, 9195,15934, 9317,15937, 9195,15935, 9335,15941,
+ 567,15704,15763,15945, 9,15945, 566,15705,15823,15951,15948,15951,
+15945,15951, 9,15956, 9195,15950, 9317,15961, 9195,15951, 9335,15965,
+ 9,15951,15945,15968, 9366,15705, 5,15972, 9317,15975, 5,15973,
+ 9287,15979, 9195,15705, 566,15982, 9317,15985, 566,15983, 9275,15989,
+ 5,15983, 9275,15993, 9288,15993, 9287,15993, 483,15998, 483,15993,
+ 9287,16002, 5,15982, 9317,16007, 483,16009, 483,16006, 9317,16013,
+ 483,15982, 5,16016, 9317,16019, 5,16017, 9287,16023, 483,15705,
+ 9340,16026, 9323,16026, 9290,16026, 9317,16033, 9335,16026, 9287,16036,
+ 9287,16026, 9335,16040, 5,16026, 9195,16044, 9317,16047, 9195,16045,
+ 9335,16051, 9195,16026, 5,16054, 9317,16057, 5,16055, 9287,16061,
+ 0, 483, 878,16065, 2327,16067, 899,16065, 2415,16071, 899,16064,
+ 2423,16075, 878,16064, 2331,16079, 875,16064, 2331,16083, 573,16064,
+ 2569,16087, 2,16064, 15,16091, 413,16064, 413,16065, 573,16065,
+ 2567,16099, 1216,16064, 1216,16065, 904,16065, 2263,16107, 6515,16065,
+ 5,16111, 6539,16113, 903,16064, 4421,16117, 5285,16117, 2265,16117,
+ 4,16064, 5,16064, 4,16065, 2,16129, 7,16131, 0,16130,
+ 0,16129, 2,16136, 15,16129, 483,16141,16135,16143,16139,16143,
+ 9513,16065, 5,16149,16133,16151, 4,16148, 2,16155, 7,16157,
+16151,16159, 1, 1011, 996,16162, 14,16162, 5,16163, 6,16169,
+ 9617,16171, 2,16162, 9617,16175,16171,16176,16172,16175,16171,16175,
+ 9617,16182, 7,16175,16169,16187, 9617,16189, 5,16162,16186,16193,
+16175,16193, 7,16196, 7,16197,16187,16193, 6,16192,16195,16205,
+16199,16205, 7,16192,16203,16211,16175,16211, 3,16211,16162,16217,
+ 3,16193, 7,16221,16162,16222,16162,16221, 7,16226, 7,16227,
+16205,16231, 6,16193,16201,16235,16214,16235,16175,16235,16211,16240,
+16211,16235,16175,16244,16225,16235,16229,16235,16219,16235, 7,16193,
+16175,16254,16205,16257,16205,16255,16175,16261, 9704,16163, 587,16265,
+ 5293,16163, 587,16269, 997,16162, 972,16162,16235,16275, 9,16275,
+14652,16163, 973,16163,16273,16283,16278,16283, 9,16283,16275,16288,
+16275,16283, 9,16292, 955,16162, 5241,16297, 1505,16162, 6,16301,
+ 7,16300,16303,16305, 7,16301, 6,16300,16309,16311, 67,16162,
+16235,16315, 9,16163, 9617,16318, 587,16321, 587,16319, 9617,16325,
+ 15,16162, 257,16163, 9,16331, 9,16162, 973,16335,16275,16337,
+ 973,16334, 257,16335, 587,16162, 5293,16345, 9704,16345, 9617,16345,
+ 9,16350, 9,16345, 9617,16354, 6,16162, 5,16358, 7,16162,
+16221,16362,16235,16365,16235,16363, 8647,16363, 903,16362,16235,16373,
+ 6,16163,16329,16377, 7,16163,16167,16381,16205,16381,16361,16381,
+ 8717,16381,14315,16380, 4311,16381, 4329,16381, 3785,16381,10351,16381,
+10055,16381, 973,16162, 9,16402, 972,16163,16341,16407,16165,16407,
+16405,16407,16403,16407, 9,16415, 9617,16163, 1368,16418, 14,16418,
+ 2,16418, 7,16425,16423,16427, 7,16424, 5,16418, 6,16433,
+16431,16435,16421,16435, 6,16432,16427,16441, 2,16419,16435,16445,
+16171,16445, 7,16445,16433,16451, 9,16418, 587,16455, 587,16419,
+ 9,16459, 6,16418, 5,16462,16427,16465, 7,16418, 2,16468,
+16435,16471,14315,16163, 7,16474, 17,16475, 903,16162, 3,16480,
+ 6,16483, 6,16482, 5241,16481, 1274,16480, 15,16480, 1275,16480,
+ 6,16480, 3,16496, 5,16496, 7,16480,16485,16503,16235,16503,
+ 6,16481,16495,16509,16493,16509, 7,16481,16499,16515,16501,16515,
+16487,16515,16205,16515,16361,16515,16491,16515,16167,16515, 1, 903,
+ 9542,16530, 9543,16530, 1274,16530, 3,16530, 9541,16539, 6,16538,
+ 7,16538, 5,16545,16530,16547, 5,16539, 7,16551,16530,16552,
+16530,16551, 7,16556, 7,16557,16543,16561, 6,16539, 9533,16565,
+16545,16565,16555,16565,16559,16565,16549,16565, 7,16539,16543,16577,
+ 4,16530,16576,16581,16543,16583,16539,16581, 7,16586,16543,16589,
+ 7,16587,16565,16593,16545,16581,16565,16596,16565,16581,16545,16600,
+16568,16581,16579,16581, 7,16581,16539,16608,16543,16611,16539,16609,
+16545,16615, 1170,16530,16565,16619, 9541,16531,16535,16623, 559,16530,
+ 5241,16627, 767,16530,16565,16631, 165,16530, 6,16635, 7,16634,
+16637,16639, 7,16635, 6,16634,16643,16645, 9540,16531,16543,16649,
+16533,16649,16539,16649,16537,16649, 1275,16530,16623,16659, 9533,16659,
+ 257,16531, 483,16665, 483,16530, 257,16669, 15,16530, 5241,16673,
+ 6,16530, 3,16676,16649,16679, 7,16530,16541,16683,16566,16683,
+16551,16682,16565,16689,16565,16683, 9533,16692, 375,16683, 1011,16682,
+16565,16699, 9533,16683,16565,16702,15269,16683, 4827,16683, 6,16531,
+16662,16711,16659,16711, 9533,16714, 9533,16711,16659,16718, 7,16531,
+16539,16723, 9533,16725,16537,16723, 9533,16729, 1007,16723,16543,16723,
+ 9533,16735,16679,16723, 9533,16739, 331,16723, 1325,16723, 59,16723,
+ 9533,16722,16543,16749,16539,16749,16679,16749,16537,16749, 9533,16531,
+ 1275,16759,16711,16761, 7,16759,16565,16765, 7,16758,16539,16769,
+16543,16769,16679,16769,16537,16769,15029,16531, 7,16779, 1011,16530,
+ 5,16782, 6,16785, 6,16784, 5241,16783, 14,16782, 1275,16782,
+ 15,16782, 6,16782, 5,16798, 3,16798, 7,16782,16787,16805,
+16565,16805, 6,16783,16797,16811,16795,16811, 7,16783,16801,16817,
+16803,16817,16789,16817,16543,16817,16679,16817,16793,16817,16537,16817,
+ 1, 1369, 1010,16833, 16,16833, 2,16833, 5,16838, 5,16839,
+16837,16843, 7,16833, 4,16846,16843,16849, 4,16847,16841,16853,
+16835,16853, 2,16832, 11,16859,15900,16833, 331,16832, 59,16832,
+ 6717,16833, 9,16869, 1325,16832, 265,16832, 4,16833, 7,16876,
+16843,16879, 2,16877, 1,16882, 1,16877, 2,16886, 11,16877,
+ 1369,16891,16885,16893,16889,16893, 5,16833, 2,16898,16853,16901,
+15705,16898, 1275,16898, 9,16907, 1346,16833, 9,16911,15705,16833,
+ 11,16915, 5,16914, 1275,16833, 5,16921, 17,16923, 5,16920,
+ 9,16927, 1275,16832, 6717,16931, 9,16933, 1, 1275, 5814,16937,
+ 902,16937, 902,16936, 3,16937, 7,16944, 413,16937, 1216,16937,
+ 6787,16937, 5,16953, 4,16952,16955,16957, 4,16953, 5,16952,
+16961,16963, 1505,16937, 5771,16937, 903,16968, 1011,16937, 903,16972,
+ 903,16936,16941,16977, 241,16936, 17,16936, 5299,16983, 4915,16983,
+ 11,16936, 903,16937, 5771,16990,16943,16991, 1011,16990,15208,16937,
+ 9,16937,15029,17000,15029,16937, 9,17004, 4,16936, 265,17009,
+ 5,16936, 4,16937, 1011,17015, 1369,16936, 6717,17019, 9,17021,
+ 1, 17, 4,17025, 6,17026, 113,17025, 1275,17024, 5299,17033,
+ 4915,17033, 241,17025, 2,17024, 3,17024,11731,17025, 265,17045,
+ 1, 15, 5886,17049, 5,17048, 483,17053, 413,17049, 1216,17049,
+ 165,17049, 5843,17049, 1011,17062,14315,17049, 17,17067, 903,17049,
+ 1011,17070, 1011,17048, 241,17048, 903,17048, 5241,17079, 1011,17049,
+ 5843,17082, 903,17082,15204,17049, 483,17049,15029,17090,15029,17049,
+ 483,17094, 3,17048, 483,17099, 2,17049, 3,17049, 5,17105,
+ 1,17106, 1,17105, 5,17110, 483,17105, 15,17115,17109,17117,
+17113,17117, 1369,17105, 0, 1011, 2,17125, 7,17127, 9565,17129,
+ 5,17124, 9565,17133,17129,17134,17130,17133,17129,17133, 9565,17140,
+ 6,17133,17127,17145, 9565,17147, 9600,17125, 9,17151, 5267,17125,
+ 9,17155,16722,17125,10385,17125, 9,17161, 587,17125, 9565,17164,
+ 9,17167, 9,17165, 9565,17171, 1275,17125, 903,17175, 9,17125,
+ 375,17125, 587,17181, 9,17124, 5267,17185, 9600,17185, 9565,17185,
+ 587,17190, 587,17185, 9565,17194, 587,17124, 375,17199,13737,17125,
+ 9,17203, 6,17124,17176,17207,17175,17207, 903,17210, 903,17207,
+17175,17214, 7,17124,10001,17219, 903,17221, 6,17125, 3,17224,
+17219,17227, 903,17229, 7,17125, 88,17233, 89,17233, 265,17233,
+ 264,17232,17239,17241, 264,17233, 3,17233, 9,17246, 3,17232,
+17237,17251, 9,17251, 2,17232,17235,17257,17249,17257,17247,17257,
+ 9,17263, 265,17232,17245,17267, 2,17233,17254,17271, 9,17271,
+17251,17274,17251,17271, 9,17278,16531,17232, 9,17233, 3,17284,
+17257,17287, 3,17285,17271,17291, 903,17233, 9565,17125, 1368,17297,
+ 14,17297, 2,17296, 7,17303, 2,17297, 7,17306, 7,17307,
+17301,17311, 5,17297,17305,17315,17129,17315, 6,17314,17311,17321,
+ 6,17315,17309,17325,17303,17325,17299,17325, 587,17296, 9,17333,
+ 9,17297, 587,17337, 6,17297, 5,17340,17311,17343, 7,17297,
+ 2,17346,17325,17349,12377,17125, 9,17353,16531,17125, 6,17357,
+ 7,17357, 6,17356,17361,17363, 7,17356,17359,17367, 0, 903,
+ 767,17370, 4617,17373, 483,17375, 15,17371, 1011,17379, 767,17371,
+ 4588,17383, 483,17383, 4579,17386, 4579,17383, 483,17390, 375,17371,
+ 11,17395, 483,17370, 2265,17399, 4421,17399, 5285,17399, 11,17370,
+ 375,17407, 6,17370,17380,17411,17379,17411, 1011,17414, 1011,17411,
+17379,17418, 7,17370, 3549,17423, 2001,17423, 8495,17423,10291,17423,
+ 1011,17431,14073,17423,11277,17423, 4971,17423, 5045,17423, 6,17371,
+ 5,17442,17423,17445, 1011,17447, 7,17371, 1011,17451, 0, 1369,
+ 2789,17455, 2821,17455, 2759,17455, 2687,17455, 6658,17455, 2,17455,
+ 6,17466, 6625,17455, 9,17470,12551,17455, 1347,17455,13808,17455,
+ 6685,17455,13833,17455, 4413,17455,17025,17455, 265,17487, 241,17486,
+17038,17455, 903,17455, 9,17455, 6625,17496, 17,17454,12377,17501,
+ 11,17454,12377,17505, 803,17455, 15,17454, 5303,17511, 4927,17511,
+17033,17511,16983,17511, 265,17454, 2853,17521,17082,17455, 11,17455,
+12377,17526,12564,17455, 241,17455,13737,17532,17025,17532, 1011,17455,
+17049,17538,12377,17455, 10,17543, 10,17542, 305,17543, 11,17543,
+17547,17551, 11,17542,17545,17555,17049,17455, 1011,17558, 4,17454,
+ 5,17455,13737,17455, 241,17566, 0, 1275, 3,17570, 9,17573,
+ 4,17570, 5,17570, 9856,17579, 9805,17579, 9,17582, 9,17579,
+ 9805,17586, 5,17571, 3,17591, 0,17592, 0,17591, 3,17596,
+ 9,17591, 1275,17601,17595,17603,17599,17603, 17,17591, 9805,17609,
+ 1369,17590, 17,17613, 1486,17571, 17,17617, 1369,17571,17577,17621,
+ 9,17623, 5,17621, 9,17627, 5,17620, 17,17631, 0, 17,
+ 4,17634, 587,17637, 155,17635, 1011,17635, 1369,17634,12377,17645,
+16990,17635, 587,17635,12377,17650,12566,17635, 903,17635,16937,17656,
+12377,17635, 587,17660,16937,17635, 903,17664, 3,17634, 483,17669,
+ 2,17635, 4,17673, 0,17674, 0,17673, 4,17678, 587,17673,
+ 17,17683,17677,17685,17681,17685, 3,17635, 1369,17691, 0, 15,
+ 5,17695, 7,17696, 1369,17694, 5303,17701, 4927,17701,16983,17701,
+17033,17701, 3,17694, 3,17695,10104,17712,10105,17713,17715,17717,
+10104,17713,10105,17712,17721,17723, 1, 13, 113,17727, 0, 12,
+17727,17731, 9,17732, 2,17735, 2,17734, 137,17732, 136,17732,
+ 2,17733,17741,17745, 3,17733,17739,17749,17743,17749, 2,17732,
+ 9,17754,17749,17757,17749,17755, 3,17732,17737,17763,17745,17763,
+ 0, 13, 1, 12, 1369,17771, 33,17771, 3,17770, 8251,17777,
+ 3807,17777, 9875,17777, 8165,17777, 3,17771, 8241,17787,17769,17771,
+ 9,17791, 2,17792, 2,17793, 137,17791, 136,17791, 2,17791,
+ 9,17802, 3,17791,17797,17807, 2,17790,17807,17811,17799,17811,
+ 3,17790,17805,17817,17795,17817,17803,17817,17801,17817, 1, 413,
+ 4,17826, 2,17826, 5,17826, 6,17833, 6,17832, 3,17826,
+ 6,17839, 6,17838, 2653,17827, 1637,17827,14537,17827,14321,17827,
+ 260,17826, 2903,17827, 1639,17827, 1641,17827, 3361,17827, 331,17826,
+17521,17827, 4909,17827,14593,17827, 261,17826, 257,17826, 14,17826,
+ 1274,17826, 2159,17827, 2161,17827, 251,17827, 2647,17827, 331,17885,
+ 15,17826, 1275,17826,14652,17827, 6,17827,17829,17895,17831,17895,
+ 8997,17895,17863,17895,17871,17895,17889,17895,17891,17895, 7,17827,
+17833,17911,17839,17911, 8495,17911, 413,17910, 0,17919,17837,17911,
+17843,17911, 265,17911,17921,17927, 1,17927,17919,17931, 2647,17927,
+ 8717,17911, 3785,17911,17853,17911,17875,17911,17877,17911,14315,17910,
+ 261,17911, 7,17826,17835,17951,17841,17951, 8647,17951, 251,17951,
+ 6,17826, 5,17960,17911,17963, 3,17960,17911,17967,15029,17827,
+ 265,17971,17895,17973, 7,17971,14315,17827, 6,17978, 7,17978,
+ 6,17979,17983,17985, 7,17979,17981,17989, 0, 412, 9036,17993,
+ 9099,17993,17829,17993,17895,17998,17831,17993,17895,18002,17896,17993,
+17898,17993,17913,17993,17915,17993, 446,17993, 4371,18015, 4379,17993,
+17900,17993,17917,17993, 4360,17993, 3429,17993,17882,17993, 7039,17993,
+17958,17993,17949,17993, 241,17993, 445,18036, 4371,18039, 445,18037,
+ 4349,18043,16097,17993,12289,17993, 8647,17993, 8997,18050, 4349,17993,
+ 251,18054,17951,17993, 251,18058, 251,17993, 4349,18062,17827,18062,
+17951,18062,17895,17993,17829,18070,17831,18070, 8997,18070, 5521,17993,
+ 375,18079, 445,17993, 241,18082, 4371,18085, 3,18083, 2,18082,
+18089,18091, 2,18083, 3,18082,18095,18097, 465,17993, 5,18101,
+ 4,18100,18103,18105, 4,18101, 5,18100,18109,18111, 9082,17993,
+ 8495,18115,17910,17993,17833,18119,17839,18119, 8495,18119, 375,17993,
+ 7,17993, 8495,18129, 8997,18131,17827,18129,17829,18135,17831,18135,
+ 8997,18135, 8997,18128, 8495,18143,17827,18128,17833,18147,17839,18147,
+ 8495,18147, 8997,17993, 8647,18154,17895,18154, 7,18154, 8495,18161,
+17827,17993, 241,18164, 6,18167, 6,18166, 265,18165,17895,18173,
+ 261,18164, 375,18165, 260,18164, 251,18164, 6,18165,18177,18185,
+ 7,18165,18171,18189,18181,18189, 6,18164,18173,18195, 241,18194,
+18189,18199,18189,18195, 7,18164,17833,18205,17839,18205,18169,18205,
+18185,18205, 8495,18205, 1, 843, 0, 842,18217,18219, 483,18220,
+ 4,18223, 4,18222, 581,18220, 580,18220, 4,18221,18229,18233,
+ 5,18221,18227,18237,18231,18237, 4,18220, 483,18242,18237,18245,
+18237,18243, 5,18220,18225,18251,18233,18251, 0, 413,15309,18257,
+ 265,18258,15363,18261,15424,18257,15363,18265,13375,18257,13381,18257,
+ 4888,18257,13162,18257, 251,18256, 375,18256, 265,18257,15309,18281,
+15383,18283,15309,18280,15363,18287, 331,18257, 2663,18257, 251,18293,
+ 9,18256, 483,18256, 375,18257, 4863,18300,13119,18300, 4863,18257,
+ 375,18306,13119,18257, 375,18310, 6,18257, 264,18314, 7,18257,
+ 264,18318, 264,18319, 265,18319,18321,18325, 265,18318,18323,18329,
+ 8647,18319, 375,18319, 331,18319, 7,18256, 1689,18339, 1705,18339,
+ 2701,18339,18317,18339, 8717,18339,12755,18339, 7627,18339, 7895,18339,
+ 3785,18339,13443,18339, 7287,18339, 265,18339, 331,18339, 8495,18339,
+ 375,18339,12745,18339, 457,18371, 375,18371, 6,18256,18291,18377,
+12745,18257,17895,18381, 8647,18381, 7,18381, 8495,18387, 1, 412,
+ 1679,18391, 448,18391, 4349,18395, 4351,18391, 4390,18391,18300,18391,
+ 4457,18391,18277,18391, 1673,18391,18279,18391, 1789,18391,18364,18391,
+18335,18391, 3427,18391, 7037,18391, 265,18391, 445,18422, 4349,18425,
+ 445,18423, 4371,18429,16095,18391,12287,18391, 5189,18391,18299,18391,
+18297,18391, 2153,18391, 2151,18391, 4371,18391, 331,18446,18339,18391,
+ 331,18450, 331,18391, 4371,18454,18339,18454, 445,18391, 265,18460,
+ 4349,18463, 5,18461, 4,18460,18467,18469, 4,18461, 5,18460,
+18473,18475, 465,18391, 3,18479, 2,18478,18481,18483, 2,18479,
+ 3,18478,18487,18489, 8386,18391,18318,18391, 375,18391,18257,18496,
+ 7,18391, 265,18501,18257,18503, 8337,18500,18257,18500, 8337,18391,
+ 7,18510, 8861,18391, 6,18515, 7,18515, 6,18514,18519,18521,
+ 7,18514,18517,18525,18257,18391, 265,18528, 241,18529, 6,18532,
+ 6,18533, 375,18528, 261,18529, 260,18529, 251,18529, 6,18529,
+ 241,18546,18531,18547, 7,18529, 8495,18553,18537,18553, 6,18528,
+18553,18559,18541,18559, 7,18528,18549,18565,18535,18565,18547,18565,
+18543,18565, 0, 843, 1, 842, 5,18576,18575,18577, 483,18581,
+ 4,18582, 4,18583, 581,18581, 580,18581, 4,18581, 483,18592,
+ 5,18581,18587,18597, 4,18580,18597,18601,18589,18601, 5,18580,
+18595,18607,18585,18607,18593,18607,18591,18607, 1, 1217,16117,18617,
+12291,18617,16103,18617, 4959,18617,17399,18617, 2205,18617, 2207,18617,
+ 1269,18617, 5,18633, 4,18632,18635,18637, 4,18633, 5,18632,
+18641,18643, 1259,18617, 2,18647, 3,18646,18649,18651, 3,18647,
+ 2,18646,18655,18657, 7,18617, 0, 1216, 9,18662,18617,18665,
+ 483,18662,18617,18669,18660,18663, 7,18663,18617,18674,18617,18663,
+ 6,18679, 7,18679, 6,18678,18683,18685, 7,18678,18681,18689,
+ 1, 1531, 4904,18693,17609,18693,17586,18693, 4903,18693, 9,18700,
+17579,18693, 9,18704, 9,18693, 4903,18708,17579,18708, 5,18692,
+ 0, 1530,18693,18717, 4,18719, 5,18719, 4,18718,18723,18725,
+ 5,18718,18721,18729, 1, 19, 1369,18733, 3,18733, 3,18732,
+ 9875,18739, 0, 18,18733,18743, 2,18745, 3,18745, 2,18744,
+18749,18751, 3,18744,18747,18755, 0, 1217,12293,18759,16105,18759,
+ 1269,18759, 2,18765, 3,18764,18767,18769, 3,18765, 2,18764,
+18773,18775, 1259,18759, 5,18779, 4,18778,18781,18783, 4,18779,
+ 5,18778,18787,18789, 375,18759, 7,18759, 1, 1216, 4,18796,
+18759,18799, 3,18796, 6,18803, 6,18802, 5,18796, 6,18809,
+ 6,18808, 2,18796,18759,18815, 5241,18797, 14,18796, 1274,18796,
+ 2157,18797, 2155,18797,18795,18797,18799,18829,18815,18829, 15,18796,
+ 1275,18796, 6,18796, 3,18838, 5,18838, 7,18796,18805,18845,
+18811,18845,18794,18797,18803,18851,18809,18851, 6,18797,18800,18857,
+18816,18857,18799,18857,18759,18862,18815,18857,18759,18866,18835,18857,
+18837,18857,18759,18857,18799,18874,18815,18874, 7,18797,18841,18881,
+18843,18881,18803,18881,18759,18887,18809,18881,18759,18891,18807,18881,
+18813,18881,18821,18881,18823,18881,18759,18880,18803,18903,18809,18903,
+18759,18797, 6,18909, 7,18909, 6,18908,18913,18915, 7,18908,
+18803,18919,18809,18919,18911,18919, 0, 1531, 1, 1530, 6717,18929,
+ 9,18931,18927,18929, 4,18935, 5,18935, 4,18934,18939,18941,
+ 5,18934,18937,18945, 0, 19, 1, 18,18949,18951, 2,18953,
+ 3,18953, 2,18952,18957,18959, 3,18952,18955,18963, 0, 2,
+11303,18967,11349,18968, 5071,18967, 5097,18972,11350,18967, 5098,18967,
+11304,18967,11307,18981, 5072,18967, 5075,18985,11315,18967, 5079,18967,
+13961,18967, 581,18993, 4,18992,18995,18997, 5,18992, 580,18993,
+19001,19003, 5,18993, 4,18993, 483,19008,19001,19011, 483,18993,
+ 4,19014,19001,19017, 4,19015,19007,19021, 1181,18966, 1206,18966,
+ 3451,18967, 375,19029, 1967,18967, 375,19033, 567,18966, 4992,19037,
+ 9,19037, 4971,19040, 4971,19037, 9,19044, 1141,18966, 555,18966,
+ 981,18967,16129,18966,16143,19055, 9523,18967, 483,19059, 9525,19061,
+ 1007,18967, 1297,18966, 524,18966, 0,19069, 4,19070, 4,19069,
+ 0,19074, 97,18967,11067,18967, 1275,19080, 7947,19083, 1205,18967,
+ 571,18967,11070,18967, 7947,19091,10043,18967, 1275,19094,10041,19097,
+10044,18967,10041,19101, 1206,18967, 3001,19105, 1901,19105, 30,18967,
+ 8165,19111, 8150,18967, 33,19115, 1181,18967, 3663,19119, 1997,19119,
+ 3069,19119, 1923,19119, 9769,18967, 3972,18967, 8124,18967, 9357,18967,
+ 9346,18967, 8782,18967, 4244,18967, 4178,18967, 9768,18967, 8804,18967,
+ 8245,18967, 8249,18967, 8247,18967, 6950,18967,12299,18967, 4652,18967,
+10684,18967,14096,18967, 4992,18967, 203,18967,11731,19167,17771,18967,
+ 113,19171,14223,18967, 85,18967,11731,19177,11031,18967, 113,19181,
+ 107,18967,11731,19185,11699,18967, 113,19189, 8701,18967, 9293,18967,
+ 3933,18967, 9,19196, 8109,18967, 9,19200, 4213,18967, 9,19204,
+ 4147,18967, 9,19208, 8757,18967, 9,19212, 9335,18967, 9,19216,
+10202,18967, 7947,19221,17637,19221, 578,18967, 4935,19227,11349,18967,
+11303,19230, 5097,18967, 5071,19234, 8647,18967, 11,19239,10603,18967,
+ 375,19243,10427,19243,10609,19243, 7,19243,10607,19251, 9,19242,
+ 4625,18967, 375,19257, 75,19257, 4629,19257, 7,19257, 4627,19265,
+ 9,19256,11277,18967, 10,19270,11307,19273, 10,19271,11349,19277,
+ 483,19271, 5045,18967, 10,19282, 5075,19285, 10,19283, 5097,19289,
+ 483,19283, 6789,18967, 9,19294, 288,18967, 525,18967,19073,19301,
+19077,19301, 1811,19301, 1877,19301, 5,19301,17563,19301, 4861,19301,
+ 1290,18967, 5,19317, 3721,19317, 1985,19317,17563,19317, 4861,19317,
+ 296,18967, 8861,19329, 12,18967, 8165,19333, 18,18967, 25,18967,
+ 9,19338, 8165,19341, 8165,19339, 9,19345, 7971,18967, 9,19348,
+ 33,19351, 33,19349, 9,19355, 47,18967,11731,19359,10107,18967,
+ 1275,19362, 7947,19365,17637,19365, 113,19363, 59,18967,17635,19373,
+10291,18967, 165,19377, 375,18967, 510,18967, 11,18967, 8165,19385,
+ 9,19387, 265,19384, 9,19384, 8165,19393, 9,18967, 567,19397,
+ 4971,19399, 6,19397, 25,19396, 8165,19405, 7971,19396, 33,19409,
+ 3933,19396, 8109,19396, 4213,19396, 4147,19396, 9335,19396, 8757,19396,
+ 8495,19396, 6789,19396, 4625,19396,10603,19396, 4971,19396,14073,19396,
+ 567,19396, 4935,19437, 11,19397, 8109,19441, 3933,19441, 8495,19441,
+ 7971,19441, 265,19396, 8861,19451, 11,19396, 8165,19455, 483,19396,
+ 17,18967, 1275,19460, 4861,19463,17563,19463, 3721,19463, 1985,19463,
+ 15,19460, 15,18967, 9731,19474, 1011,19475, 483,19475, 17,19474,
+ 6515,18967, 483,19485, 6527,19487, 6557,19487, 6561,19487,14210,18967,
+ 17,19495, 4971,18967, 9,19498,14073,18967, 9,19502, 5921,18967,
+ 375,19507,10046,18967, 16,18966, 0,19513, 4,19514,19317,19517,
+19463,19517, 4,19513, 0,19522,19317,19525,19463,19525, 8495,19513,
+10351,19513, 4311,19513, 4329,19513, 8717,19513,10055,19513, 3785,19513,
+ 14,18966, 6,19545, 2,19546, 2,19545, 6,19550, 482,19545,
+ 17,19545, 10,18966,17777,19559, 2215,19559,11307,19559, 5075,19559,
+11713,19559, 2221,19559,11087,19559,10439,19559,10665,19559, 4643,19559,
+11037,19559, 2233,19559, 9195,19559,11277,19559, 5045,19559,19455,19559,
+19333,19559,19393,19559,19385,19559, 9,19597, 9317,19559, 9755,19559,
+ 4321,19559,10171,19559, 4295,19559, 3833,19559,10603,19559, 9,19613,
+ 4625,19559, 9,19617, 8,18967, 11,19621, 14,18967, 9731,19625,
+ 17,19625, 11,18966, 8124,19631, 3972,19631, 8804,19631, 8150,19631,
+ 7971,19631, 9,19640, 3933,19631, 9,19644, 8109,19631, 9,19648,
+ 8495,19631, 9,19652, 9,19631, 8109,19656, 3933,19656, 8495,19656,
+ 7971,19656, 9,18966,10001,19667, 5,19669, 4,19668,19671,19673,
+ 4,19669, 5,19668,19677,19679, 16,18967, 7,19683, 10,18967,
+11277,19686,11307,19689, 5045,19686, 5075,19693,11349,19687, 5097,19687,
+ 9195,19687,19656,19687,19441,19687,19631,19687, 9,19706,11277,19687,
+11303,19711, 5045,19687, 5071,19715, 9,19687,19631,19718, 19,18967,
+ 13,18967,19631,19725,10385,18967, 101,19729, 128,19729, 9,19729,
+ 113,19734, 483,19729,10081,19739,11759,19739,10405,19739, 113,19729,
+ 9,19746, 67,18967,11613,19751,12216,19751, 9,19751,11731,19756,
+11731,19751, 9,19760, 566,18967, 253,19765, 1471,19765, 53,19765,
+ 256,18967, 629,18967, 1413,18967, 1471,19777, 1346,18967, 340,18967,
+ 8165,19783, 567,18967, 4935,19787, 9,19789, 9,19786, 4935,19793,
+ 305,18967, 959,18967,11731,19799, 759,18967,11731,19803, 331,18967,
+17635,19807, 1325,18967,17635,19811,10001,18967,10003,19815, 4,19817,
+ 4,19816,10007,19815, 580,19815,10006,19815, 483,19815, 4,19828,
+ 4,19829, 581,19815, 4,19815,10003,19836, 483,19836, 5,19815,
+19819,19843,19833,19843, 4,19814,19835,19849,19823,19849,19843,19849,
+ 5,19814,19839,19857,19821,19857,19825,19857,19827,19857,19841,19857,
+19831,19857,19837,19857, 9731,18967, 15,19872, 8495,18967, 483,19877,
+ 9,19876, 9195,18967, 113,19883,11731,19883, 241,18967, 7,19888,
+ 483,18967, 9,19892, 17,19893, 903,19897, 5,19892, 253,19901,
+ 1471,19901, 53,19901, 5,19893, 1505,19909, 903,18967, 7,19913,
+ 1275,18967,10043,19916,10041,19919,11067,19916, 7947,19923,17637,19917,
+10107,19927, 0,19916, 4,19931, 0,19932,19917,19935, 7,19932,
+19937,19939, 7,19931, 4,19942, 16,19931, 6,19916, 4,19949,
+ 6,19950,19917,19953, 1,19950,19955,19957, 1,19949, 4,19960,
+ 8,19916, 4,19965, 1,19966, 1,19965, 4,19970,10107,19916,
+ 7947,19975,17637,19975, 7947,19917,11067,19981,10107,19981, 9,19917,
+ 2009,19987, 3135,19987,19969,19987,19973,19987, 5231,19987,19957,19987,
+19963,19987, 0,19987, 5175,19987,14065,19987, 17,19916,19525,20009,
+19517,20009, 3721,20009, 1985,20009, 1,20009,19987,20019,20003,20009,
+ 4861,20009,17563,20009, 5,19916, 4,19917, 5,19917, 265,18967,
+17635,20035, 5771,20035, 9,20035, 11,20034, 11,20035, 9,20034,
+ 8861,20047, 483,20035, 7,20034, 8165,20053, 7,20035, 8495,20057,
+ 587,18967, 7,20061, 4,20063, 4,20062, 16,20061, 17,20061,
+ 4,20060,20071,20073, 5,20060,20067,20077,20069,20077, 4,20061,
+ 7,20082,20077,20085, 5,20061,20065,20089,13947,18967, 5,20092,
+ 17,20095, 5,20093, 9,20099, 4,18966, 8770,20103, 8729,20103,
+ 8697,20103, 8784,20103, 4266,20103, 9262,20103, 2,20103, 7,20117,
+ 8684,20103, 8717,20121, 331,20121, 8647,20103, 8757,20126, 8757,20103,
+ 8647,20130, 375,20130, 4213,20103, 375,20136, 9750,20103,19687,20103,
+ 347,20103, 386,20103, 340,20103, 331,20149, 375,20103, 8757,20152,
+ 4213,20152, 9195,20152, 305,20152, 9,20103,10291,20103, 483,20165,
+ 59,20103, 15,20103, 9195,20103, 375,20172, 331,20103,10001,20103,
+ 9,20179, 305,20103, 375,20182, 7,20103, 8495,20186, 8717,20189,
+ 331,20189, 8495,20187, 8757,20195, 9731,20186, 265,20187, 8757,20201,
+ 4213,20201, 9195,20201, 305,20201, 265,20186, 331,20211, 8647,20187,
+ 1325,20103, 7,20102, 8495,20219,10351,20219, 4311,20219, 4329,20219,
+ 3785,20219,10055,20219, 8717,20219, 483,20103, 1275,20103, 265,20103,
+ 7,20239, 8495,20241, 375,20241, 7,20238, 331,20247, 9731,20103,
+ 7,20250, 8495,20103, 7,20254, 8717,20257, 331,20257, 483,20255,
+ 9,20255, 7,20255, 8647,20267, 375,20267, 5,18966, 9535,20273,
+ 9537,20273, 2,20273, 6,20278, 9559,20273, 482,20273, 9563,20273,
+ 9362,20273, 922,20273, 1413,20273, 19,20273, 12,20273, 8150,20273,
+ 8804,20273,19385,20273, 1290,20273, 9533,20305, 525,20273, 9533,20309,
+ 7971,20273, 9,20312, 11,20273, 9,20316, 17,20273, 1275,20320,
+ 9533,20323, 9,20273, 9195,20326, 11,20326, 7971,20326, 8495,20326,
+ 9195,20273, 9,20336, 6,20273, 5,20341, 2,20340, 5,20340,
+18967,20347, 11,20341, 7,20273, 5,20353, 6,20272, 17,20357,
+ 7,20272, 9195,20361,11277,20361, 5045,20361, 9755,20361, 4295,20361,
+10171,20361, 4321,20361, 3833,20361, 9317,20361, 483,20273, 903,20380,
+ 1275,20273, 17,20384, 9533,20387, 903,20273, 483,20390, 8495,20273,
+ 9,20394, 9731,20273, 6,20398, 7,20398, 6,20399,20403,20405,
+ 7,20399,20401,20409, 6,18966,19836,20413,19857,20415,19854,20413,
+19871,20413,19815,20413, 4,20423,19843,20425, 4,20422,19857,20429,
+19477,20413,19145,20413,19875,20413,19843,20413,19849,20438,19849,20413,
+19843,20442,19718,20413,19473,20413,19483,20413,19725,20413, 19,20413,
+ 12,20413,19337,20413,19687,20413, 9,20460,19475,20413, 9731,20465,
+ 17,20465, 9,20413,19687,20470, 11,20470, 11,20413, 9,20476,
+ 8495,20413, 5,20413, 9,20483, 4,20413,19815,20487,19849,20489,
+19815,20486,19857,20493, 5,20412, 17,20497, 7,18966,10439,20501,
+11087,20501,10665,20501, 4643,20501,11307,20501, 5075,20501,17777,20501,
+ 2215,20501,18739,20501, 4339,20501,11713,20501, 2221,20501,11037,20501,
+ 2233,20501,19626,20501,19129,20501, 0,20501, 4,20534,19301,20537,
+19317,20537,19463,20537,20009,20537,10036,20501,19843,20547, 8800,20501,
+ 8714,20501, 5045,20501,11277,20501, 4551,20501,19628,20501,19455,20501,
+19393,20501,19723,20501,19333,20501, 305,20501, 8495,20570, 959,20501,
+19625,20501, 9731,20576, 17,20576,10603,20501, 9,20583, 4625,20501,
+ 9,20587,19385,20501, 9,20591, 759,20501, 47,20501,10107,20501,
+ 241,20599, 265,20598,10196,20501, 11,20501, 8495,20606, 17,20501,
+19625,20610, 59,20501,10291,20501, 1011,20617, 15,20501, 1325,20501,
+ 8495,20501, 10,20624, 10,20625, 305,20624, 11,20624,20629,20633,
+ 11,20625,20627,20637, 9731,20501,19625,20640, 4,20501, 7,20645,
+ 483,20647,18967,20649, 0,20644,19301,20653,19317,20653,19463,20653,
+20009,20653,20651,20653, 7,20644,19916,20665,20653,20667, 1275,20665,
+18967,20670,20653,20673,18967,20665, 1275,20676,20653,20679,10001,20644,
+19843,20683, 1011,20645,10047,20645, 5,20501, 9287,20691, 331,20501,
+ 4,20500, 8495,20697, 4311,20697,10351,20697, 3785,20697, 4329,20697,
+ 8717,20697,10055,20697, 5,20500, 9195,20713,11277,20713, 5045,20713,
+ 4321,20713, 9755,20713, 4295,20713,10171,20713, 9317,20713, 3833,20713,
+ 903,20501, 265,20501,10107,20734, 9195,20501, 241,20739,10001,20501,
+ 4,20742,19843,20745, 5,20742,18967,20748, 4,20743,20751,20753,
+19511,20753,19857,20753, 5,20743, 7,18967, 8810,20762, 8811,20762,
+ 2,20763, 1,20768,20483,20763, 8495,20773, 8800,20763,20273,20763,
+ 8495,20763, 11,20780, 8810,20763,20767,20785,10081,20763, 1011,20789,
+ 1010,20788,20791,20793, 1010,20789, 1011,20788,20797,20799, 566,20763,
+ 11,20763, 9731,20805, 8495,20805, 8495,20804, 265,20763,20482,20763,
+ 17,20815, 567,20763, 9195,20819, 9,20763, 8811,20763,20765,20825,
+ 241,20762, 265,20762, 8165,20831, 1011,20763, 375,20763, 4,20762,
+20815,20839, 5,20762,11276,20842, 5044,20842,11277,20842,11276,20843,
+20849,20851, 5045,20842, 5044,20843,20855,20857,20773,20843,20470,20843,
+20103,20843,20413,20843, 9,20866, 9195,20843,11277,20843,20845,20873,
+ 5045,20843,20847,20877, 9,20843,20413,20880, 4,20763,20480,20885,
+ 7,20884,20843,20889, 9366,20885, 1,20885, 3,20894,20842,20896,
+20843,20897,20899,20901,20889,20900,20842,20897,20843,20896,20907,20909,
+20890,20897,20889,20897,20843,20914, 3,20885, 1,20918,20842,20920,
+20843,20921,20923,20925,20889,20924,20842,20921,20843,20920,20931,20933,
+20890,20921,20889,20921,20843,20938, 9195,20885, 483,20942,20866,20885,
+ 8495,20885,20413,20948, 483,20885, 9195,20952,20413,20885, 8495,20956,
+20843,20956,20843,20885, 1,20962, 3,20964, 3,20962, 1,20968,
+ 7,20963,20897,20973,20921,20973,20967,20973,20971,20973,20413,20962,
+ 5,20763, 7,20985, 17,20985,20413,20989,20413,20984,20839,20993,
+ 17,20993, 483,20984,20839,20985, 1,21001, 3,21002, 3,21001,
+ 1,21006, 7,21000,21005,21011,21009,21011,20413,21001,20413,20763,
+ 5,21019,20885,21021, 9,21021, 5,21018,20839,21027, 17,21027,
+ 483,20763, 5,21032, 5,18967, 0,21037, 3,21038, 9357,21037,
+20742,21037,20761,21045,20187,21037, 8495,21049,20501,21037,10001,21036,
+20753,21055,20763,21037, 8495,21059,13947,21036, 17,21063, 256,21037,
+20186,21037,20885,21037, 7,21071,20897,21073,20921,21073, 9,21037,
+ 1275,21079, 9533,21081,21041,21081, 17,21037, 9195,21087, 7971,21087,
+ 8495,21087, 483,21036, 253,21095, 1471,21095, 53,21095, 1275,21036,
+ 6,21036,20640,21105,20610,21105,21069,21105, 9731,21105,20501,21112,
+20501,21105, 9731,21116, 17,21116, 17,21105,20501,21122, 7,21036,
+11276,21126, 5044,21126,11277,21126,11276,21127,21133,21135, 5045,21126,
+ 5044,21127,21139,21141, 1,21127, 3,21144,18967,21147, 3,21127,
+ 1,21150,18967,21153,18967,21127,20470,21127,21049,21127,20413,21127,
+ 9,21162,20103,21127, 9195,21127,11277,21127,21129,21171, 5045,21127,
+21131,21175, 9,21127,20413,21178, 6,21037,21149,21183,21155,21183,
+20254,21183,19243,21183,19257,21183,18967,21183, 1,21183, 3,21196,
+21126,21198,21127,21199,21201,21203,21126,21199,21127,21198,21207,21209,
+ 3,21183, 1,21212,21126,21214,21127,21215,21217,21219,21126,21215,
+21127,21214,21223,21225, 8495,21183,20103,21228,19687,21183,20843,21183,
+21166,21183, 11,21183,20501,21239,20103,21183, 8495,21242,21127,21242,
+21127,21183,20103,21248,20763,21183, 9731,21253, 17,21253, 7,21037,
+19625,21259, 15,21259,20413,21263,20103,21258,21105,21267, 241,21258,
+21105,21259,20103,21273,20103,21037, 7,21277,21199,21279,21215,21279,
+11277,21279, 5045,21279,21183,21279, 6,21276, 1,21291, 3,21292,
+21279,21295, 3,21291, 1,21298,21279,21301, 7,21276,21105,21305,
+ 241,21037, 483,21309, 7,21308, 4,18967,21183,21315, 0,21314,
+20309,21319, 524,21319,20273,21323,20305,21319, 1291,21319,20273,21329,
+21081,21319,20323,21319,20387,21319, 11,21319, 483,21338,20273,21341,
+ 483,21319, 11,21344,20273,21347, 165,21315,17635,21315, 1011,21352,
+17642,21315,20413,21315, 6,21359, 9,21315,20352,21315,11277,21365,
+ 5045,21365,20985,21315, 11,21315,10075,21315, 483,21315, 1347,21315,
+ 6,21314, 1,21381, 3,21382,21365,21385, 3,21381, 1,21388,
+21365,21391,20273,21381, 11,21381, 7,21314, 6,21315, 17,21401,
+ 7,21315,21384,21404,21390,21404,21385,21405,20273,21411,21407,21411,
+21391,21405,20273,21417,21409,21417,21385,21404,21384,21405,21423,21425,
+21391,21404,21390,21405,21429,21431,11276,21404, 5044,21404,11276,21405,
+11277,21404,21439,21441, 5044,21405, 5045,21404,21445,21447, 0,21405,
+ 4,21450, 4,21405, 0,21454, 8495,21405, 5045,21405,20273,21461,
+21437,21461,11277,21405,20273,21467,21435,21467, 9,21405,20273,21404,
+21385,21475,21391,21475,11277,21475, 5045,21475, 265,21405, 483,21405,
+18967,21487,21453,21489,21457,21489,21381,21405,20273,21315, 6,21497,
+ 1,21499, 3,21500, 3,21499, 1,21504, 7,21496,21503,21509,
+21507,21509,21385,21509,21391,21509,11277,21509, 5045,21509, 1011,21315,
+17635,21522, 6,18967, 2,21526, 11,21529,20103,21527,20690,21527,
+ 9,21535,21259,21527, 9,21539, 17,21527, 4,21526, 11,21545,
+ 5,21526,20640,21549,21259,21549,20610,21549, 9731,21549,20501,21556,
+20501,21549, 9731,21560, 17,21560, 17,21549,20501,21566, 4,21527,
+ 15,21571, 5,21527, 482,21575, 2,21575, 6,21578, 6,21575,
+ 2,21582, 9,21575,20501,21587,20501,21574, 9,21591,20501,21527,
+ 5,21595, 17,21597, 5,21594, 9,21601, 1, 3,19718,21604,
+19719,21604,19402,21605,20962,21604,20973,21613,21248,21604,21272,21604,
+21494,21604,20963,21604,21249,21604,21001,21604,21011,21627,21273,21604,
+21495,21604,21178,21604,20880,21604,21179,21604,20881,21604,21049,21604,
+20773,21604,21361,21604,15753,21605, 803,21649,14387,21605, 375,21653,
+ 9663,21604, 9177,21604,20351,21604,20485,21604,21360,21604, 990,21604,
+ 4745,21667,19685,21605,21087,21671,21156,21605,21087,21675,21317,21605,
+21291,21604,21279,21681,21499,21604,21509,21685, 996,21604, 4745,21689,
+21472,21604,21473,21604, 761,21605, 3419,21697, 6469,21697, 3119,21697,
+21048,21604,20772,21604, 973,21604, 955,21708, 4745,21711, 9,21708,
+ 4745,21715, 4745,21709, 955,21719, 9,21719, 2077,21605, 7,21725,
+ 14,21724,21727,21729, 6,21725, 15,21724,21733,21735,20350,21604,
+20484,21604, 9662,21604, 9176,21604,21380,21604,21104,21604,21126,21604,
+21183,21751, 9,21751,20842,21604,20885,21757, 9,21757, 305,21604,
+18967,21763, 375,21765, 955,21604, 973,21769, 4805,21771, 973,21768,
+ 4745,21775,17423,21769, 4745,21769, 713,21604,21404,21604,21381,21785,
+ 9,21785,20884,21604,21316,21605,21182,21604,20501,21795,21793,21795,
+21405,21604,21381,21800, 9,21800,20885,21604,20843,21806,20890,21807,
+20889,21807,20843,21812,20973,21807,21073,21807,20413,21807,20843,21807,
+21757,21823,20889,21822,21183,21604,21127,21828,21279,21829,21679,21829,
+20103,21829,21127,21829,21751,21839,21105,21604,21381,21604,21365,21845,
+21405,21844,20413,21845,21475,21845,21405,21845,21785,21855,20273,21855,
+21509,21845,20843,21604,20885,21862, 9,21862,21127,21604,21183,21868,
+18967,21869,21183,21873, 9,21868, 1199,21605,13923,21604,13935,21881,
+ 9437,21605, 587,21885, 9439,21887, 1177,21605, 1421,21604, 668,21604,
+ 1,21895, 5,21896, 5,21895, 1,21900, 117,21605,11759,21605,
+ 1369,21906, 7971,21909,11760,21605, 7971,21913, 809,21605, 989,21605,
+ 9929,21605, 1369,21920, 9927,21923, 9930,21605, 9927,21927,19596,21605,
+ 9,21931,19556,21605,20170,21605,19707,21605, 9,21939,20956,21605,
+21791,21943,21242,21605,21795,21947,20773,21605,21707,21951,21049,21605,
+21705,21955,21373,21605,20464,21605,19557,21605,20499,21605,20359,21605,
+ 9181,21605, 9671,21605, 4145,21605, 3801,21605, 4135,21605,10101,21605,
+20577,21605,19656,21605,19441,21605,19332,21605,19392,21605,19454,21605,
+21059,21605,19440,21605,19657,21605, 4134,21605,10100,21605,20498,21605,
+20358,21605,20142,21605, 9,22007,20576,21605,20864,21605, 9,22013,
+21116,21605,21166,21605,21183,22019, 9,22019,21560,21605, 9180,21605,
+ 9670,21605, 3800,21605, 4144,21605,21026,21605,20839,22035,20814,21605,
+20839,22039,20992,21605,20839,22043,21359,21605,21845,22047,21647,22047,
+21053,21605,21795,22053,20779,21605, 8087,21605, 8091,21605, 8089,21605,
+20303,21605, 9,22065,20465,21605,10786,21605,11131,21605, 4696,21605,
+11970,21605,19722,21605,19333,21605,19393,21605,19455,21605,20351,21605,
+21739,22087,20485,21605,21741,22091, 9663,21605,21743,22095, 9177,21605,
+21745,22099,20350,21605,21661,22103,20484,21605,21663,22107, 9662,21605,
+21657,22111, 9176,21605,21659,22115,10099,21605, 17,22119, 17,22118,
+ 4133,21605, 17,22125, 17,22124, 8251,21605, 9,22131, 3807,21605,
+ 9,22135, 13,21604,18967,22139, 19,21604,20501,22143, 9875,22143,
+ 12,21604, 8251,22149, 3807,22149,19559,22149,20501,22149, 9875,22149,
+ 8165,22149, 18,21604, 3799,21605, 17,22165, 17,22164, 4143,21605,
+ 17,22171, 17,22170, 4283,21605, 9,22177, 4279,21605, 9,22181,
+ 9669,21605, 17,22185, 17,22184, 9179,21605, 17,22191, 17,22190,
+ 9673,21605, 9,22197, 9967,21605, 9,22201,19624,21605,20501,22205,
+ 17,22205,19686,21605,22149,22211,19441,22211,19656,22211,21607,22211,
+19631,22211, 9,22220, 9,22211,19631,22224,19559,21605,19385,22228,
+ 9,22231, 9,22229,19545,21605, 17,22236, 17,22237,10102,21605,
+ 7971,22243,17053,22243, 629,21605,21117,21605,21561,21605,20867,21605,
+20885,22255,21167,21605,21183,22259,21548,21605, 17,22263,20501,22263,
+21104,21605,21069,22269,21267,22269,21305,22269,21259,22269,20103,22277,
+ 17,22269,20501,22269,20838,21605,20985,22285,20842,21605,21865,22289,
+21809,22289,21613,22289,21637,22289,21867,22289,20773,22289,20956,22289,
+21863,22289,20885,22305, 9,22305,20885,22289,20413,22310,20413,22289,
+20885,22314,21126,21605,21871,22319,21831,22319,21617,22319,21635,22319,
+21877,22319,21049,22319,21242,22319,21869,22319,21183,22335, 9,22335,
+21183,22319,20103,22340,20103,22319,21183,22344,21020,21605,20885,22349,
+21278,21605,21183,22353,21052,21605,21829,22357,21127,22357,21358,21605,
+21747,22363,21665,22363,21532,21605,20497,21605, 17,22371, 17,22370,
+20361,21605, 9,22377,20713,21605, 9,22381,20357,21605, 17,22385,
+ 17,22384,21048,21605,21643,22391,20772,21605,21645,22395,21509,21605,
+21381,22399,21499,22399, 9,22399,21475,21605,21381,22407, 9,22407,
+21365,21605,21381,22413, 9,22413,11971,21605, 4697,21605, 8387,21605,
+ 9,22423,11949,21605, 11,22426, 5,22428, 6,22426, 5,22432,
+ 5,22426, 6,22436, 6,22437, 7,22426,22441,22443, 7,22427,
+22435,22447,22439,22447,22431,22447, 14,22426,22447,22455, 6,22427,
+ 15,22426,22459,22461, 9,22426, 9,22427, 4669,21605, 11,22468,
+ 5,22470, 6,22468, 5,22474, 5,22468, 6,22478, 6,22479,
+ 7,22468,22483,22485, 7,22469,22477,22489,22481,22489,22473,22489,
+ 14,22468,22489,22497, 6,22469, 15,22468,22501,22503, 9,22468,
+ 9,22469,12345,21605, 5,22510, 4,22510, 12,22510, 13,22511,
+22517,22519, 12,22511, 13,22510,22523,22525, 4,22511,22513,22529,
+ 5,22511,22515,22533, 5123,21605, 5,22536, 4,22536, 12,22536,
+ 13,22537,22543,22545, 12,22537, 13,22536,22549,22551, 4,22537,
+22539,22555, 5,22537,22541,22559,10697,21605, 9,22562,19385,21605,
+19559,22566, 9,22569, 9,22567,19559,22573,19397,21605, 6,22576,
+ 11,22577, 11,22576,19475,21605,20413,22584, 1406,21605, 1396,21605,
+ 525,21605, 903,22593, 934,21605, 9,22597, 1290,21605, 903,22601,
+ 669,21605,21899,22605,21903,22605, 1861,22605, 1887,22605, 4,22605,
+17013,22605, 4917,22605,19687,21605,22139,22621,21609,22621, 9,22621,
+20103,22620, 9,22629,19625,21605,20501,22632,19384,21605,21087,22637,
+20326,22637, 9,22636,20273,22637, 9,22644, 9,22637,20273,22648,
+19396,21605, 5,22652, 10,22652,19441,22657, 10,22653,19455,22661,
+ 11,22652,22661,22665, 11,22653,22657,22669,19474,21605,20413,22673,
+ 1418,21605, 4,22677, 3755,22677, 1995,22677,17013,22677, 4917,22677,
+ 12,21605,22139,22689,18967,22688, 18,21605,22143,22695,21252,21605,
+21279,21605,21183,22701,21291,22701, 9,22701,20483,21605,20763,22708,
+20187,21605,21036,22712,21069,22715,21036,22713,21049,22719,21037,22713,
+21037,22712, 9,22713,20353,21605, 5,22729,21315,22729, 33,21605,
+ 8150,22735,17727,22735, 9,22735, 7971,22740, 7971,22735, 9,22744,
+17025,22735, 8165,21605, 30,22751, 181,22751, 9,22751, 25,22756,
+ 25,22751, 9,22760, 145,22751, 53,21605,17049,22767,10219,21605,
+ 903,22771, 155,22771,10081,21605, 1369,22776, 7971,22779,17053,22779,
+ 257,21605, 9,22785, 1171,21605, 4722,22789, 4713,22789, 903,22792,
+21315,22789, 903,22789, 4713,22798, 628,21605, 9,22803, 11,21605,
+ 766,22807, 767,22807,20984,22807,20762,22806,22813,22815,20985,22807,
+20762,22807,22140,22807,19718,22807,19725,22807, 586,22806,22809,22829,
+ 5,22807,20763,22832,22815,22835,20763,22833,22821,22839, 587,22832,
+22829,22843, 587,22833, 586,22807,22847,22849, 5515,22807,17043,22807,
+ 4825,22807,17727,22807, 8150,22807,22139,22807,18967,22862,19396,22806,
+19397,22806,19396,22807,22869,22871,19397,22807,22867,22875,22653,22875,
+20763,22807, 5,22880,22815,22883,19687,22807, 9,22886, 7971,22807,
+ 9,22890,19461,22807, 9,22807,19687,22896, 7971,22896,18967,22896,
+18967,22807,22139,22904, 9,22904,20103,22905, 9,22911, 1369,22806,
+ 903,22806, 9,22917, 587,22807, 5,22920,22829,22923,18967,22806,
+20326,22927,21087,22927, 9,22926,20273,22927, 9,22934, 9,22927,
+20273,22938, 9,22806,18967,22942,20763,22806,22819,22947, 587,22806,
+22811,22951, 9,22951, 17,21605,19722,22956,19723,22957,22959,22961,
+19723,22956,19722,22957,22965,22967,19396,22956,19396,22957,19397,22956,
+22973,22975,19545,22956,20497,22956,20357,22956, 4133,22956,10099,22956,
+ 3799,22956, 4143,22956, 9179,22956, 9669,22956,19475,22957,21315,22957,
+19397,22957,22971,23001, 1369,22956, 1275,22956, 903,23007, 587,22957,
+ 903,22957, 15,21605,20103,23014,18967,23015,20501,23019, 1369,23014,
+ 4917,23023,17013,23023, 3755,23023, 1995,23023,18967,23014,20413,23033,
+ 9,21605,19631,23036,19384,23036,19384,23037,22567,23043,19385,23036,
+10697,23036, 4669,23036,11949,23036, 11,23037,23047,23055,22567,23055,
+18967,23055,18967,23036, 10,23062, 10,23063, 11,23062,23067,23069,
+ 11,23063,23065,23073, 11,23036,18967,23076, 7049,21605, 587,23081,
+ 7051,23083, 7055,23083, 7059,23083,17219,21605, 903,23091, 4663,21605,
+ 903,23095, 4745,21605, 955,23099, 9,23099, 4569,21605,17423,21605,
+ 955,23107, 9,23107,14625,21605, 5997,21605, 7,23114, 5,23114,
+ 6,23119,23117,23121, 6,23118, 6,23114, 5,23126, 7,23115,
+23129,23131,23125,23131, 14,23114,23131,23137, 6,23115, 15,23114,
+23141,23143,20482,21605,20762,23146,20773,23149,20762,23147,20815,23153,
+20839,23147,21399,23147,19683,23147,20763,23147,20843,23163,23149,23163,
+20763,23146,20839,23169,23153,23169,20186,21605,21036,23174,21049,23177,
+21036,23175,21069,23181, 331,23175, 59,23175, 1325,23175, 265,23175,
+20644,21605,20352,21605, 9660,21605, 8386,21605, 59,23199, 331,23199,
+ 1325,23199, 265,23199,21243,21605,21829,23209,20957,21605,21807,23213,
+21272,21605,21631,23217,20962,21605, 9,23221,21248,21605,21625,23225,
+21549,21605,20501,23228,21105,21605,20501,23232,20843,21605,21758,23237,
+21623,23237,21760,23237,21641,23237,20885,23237,21757,23246,20889,23247,
+21757,23237,20885,23252, 9,23252,20103,23236, 9,23259, 9,23237,
+21757,23262,20885,23236, 9,23267,21127,21605,21752,23271,21625,23271,
+21754,23271,21639,23271,18967,23270,21087,23281,21183,23271,21751,23284,
+21751,23271,21183,23288, 9,23288,20103,23270,21183,23295, 9,23295,
+ 9,23271,21751,23300,21405,21605,21633,23305,21394,23305,21786,23305,
+21381,23305,20273,23312,21785,23312,20326,23305,21087,23305,21695,23305,
+21037,23305,21036,23304,23325,23327,21036,23305,21037,23304,23331,23333,
+21788,23305,21785,23305,21381,23338, 9,23338, 9,23305,20273,23344,
+21785,23344,20273,23305,21381,23350, 9,23350,21259,21605,21843,23357,
+20885,21605,20763,23360, 5,23363,18967,23362, 6,23360,18967,23368,
+18967,23360, 6,23372, 6,23373, 7,23360,23377,23379, 7,23361,
+23365,23383, 4,23383,23363,23387,23371,23383,23375,23383,23367,23383,
+21526,23360,23383,23397, 6,23361,21527,23360,23401,23403, 9,23361,
+20843,23407,21791,23361,20413,23411,20413,23360,21791,23415,20843,23360,
+ 9,23419,21183,21605,21315,23422,21795,23425,21795,23423,20103,23429,
+20103,23422,21795,23433,20763,23422,21249,21605,21617,23439,21001,21605,
+ 9,23443,21273,21605,21619,23447,21371,21605, 9,23451,21253,21605,
+ 8,21604,22363,23457,22053,23457,21983,23457,23039,23457,21985,23457,
+22077,23457,22075,23457,22465,23457,22507,23457,23053,23457,23051,23457,
+20501,23457,23037,23457,19631,23483,11949,23483, 4669,23483,18967,23457,
+ 10,21604,22870,23493,22869,23493,22867,23493,23041,23493,22583,23493,
+21995,23493,22665,23493,21991,23493,19441,23493,22626,23493,21997,23493,
+19656,23493,22908,23493,22902,23493,22419,23493,22421,23493,11970,23493,
+ 4696,23493,21987,23493,23069,23493,21989,23493,23079,23493,22643,23493,
+22933,23493,22945,23493,22693,23493,22904,23493, 9,23546,22896,23493,
+18967,23550,22621,23493, 9,23554,19396,23493,22807,23558, 8647,23493,
+22637,23493, 9,23565,23077,23493,18967,23569,22689,23493,18967,23573,
+22927,23493, 9,23577,22943,23493,18967,23581,22807,23493,19396,23584,
+19396,23585,18967,23584, 9,23590, 9,23584,18967,23594,18967,23585,
+ 9,23598, 9,23585,18967,23602,19631,23493, 9,23606,18967,23493,
+22896,23610,22807,23610, 9,23614, 9,23610,22807,23618, 9,23493,
+11949,23622, 4669,23622,22621,23622,19631,23622,22904,23622,22807,23622,
+18967,23634,18967,23622,22807,23638, 4669,23493, 9,23642,11949,23493,
+ 9,23646, 16,21604,22979,23651,21935,23651,22239,23651,22389,23651,
+22375,23651,22001,23651,21999,23651,22005,23651,22003,23651,22123,23651,
+22129,23651,22983,23651,22981,23651,22987,23651,22985,23651,22989,23651,
+22995,23651,22993,23651,22991,23651,22169,23651,22029,23651,22027,23651,
+22175,23651,22031,23651,22189,23651,22195,23651,22033,23651, 7,23651,
+ 3,23706, 3,23651, 7,23710, 586,23651,22957,23651,19545,23717,
+20357,23717,20497,23717,10099,23717, 4133,23717, 3799,23717, 9669,23717,
+ 9179,23717, 4143,23717,19559,23651,20713,23651,20361,23651, 9967,23651,
+ 9673,23651, 4283,23651, 3807,23651, 8251,23651, 4279,23651, 14,21604,
+23175,23755,23199,23755, 5,23755, 1,23760,22677,23763,23023,23763,
+ 1,23755, 5,23768,22677,23771,23023,23771,16381,23755,14625,23755,
+ 4569,23755,13325,23755, 8685,23755,19513,23755, 1369,23755, 17,23755,
+20219,23755, 4063,23755,10273,23755,20697,23755, 4137,23755, 8401,23755,
+ 9955,23755, 3863,23755,19631,21605, 11,23808, 5,23810, 6,23808,
+ 5,23814, 5,23808, 6,23818, 6,23819, 7,23808,23823,23825,
+ 7,23809,23817,23829,23821,23829,23813,23829, 14,23808,23829,23837,
+ 6,23809, 15,23808,23841,23843, 9,23808,23457,23847, 9,23809,
+19667,21605, 5,23852, 4,23852, 12,23852, 13,23853,23859,23861,
+ 12,23853, 13,23852,23865,23867, 4,23853,23855,23871, 5,23853,
+23857,23875, 8,21605,23646,23879,23642,23879,23606,23879,23851,23879,
+22467,23879,22509,23879,19384,23879,19631,23879,23493,23894,23493,23879,
+11949,23898, 4669,23898,19631,23898,11949,23879,23493,23906, 4669,23879,
+23493,23910,18967,23879, 11,23914, 11,23915,23493,23919, 11,23879,
+18967,23922, 14,21605,18967,23926,20501,23929, 17,23929,18967,23927,
+20413,23935, 16,21605,22241,23939,22387,23939,22373,23939,22121,23939,
+22127,23939,22167,23939,22173,23939,22187,23939,22193,23939,19545,23939,
+10099,23939, 4133,23939, 3799,23939, 4143,23939, 9669,23939, 9179,23939,
+20357,23939,20497,23939,19625,23939,21549,23939,21105,23939, 11,21604,
+23053,23983,23051,23983,23039,23983,21985,23983,22085,23983, 5,23982,
+ 6,23995,21983,23983,22077,23983,22075,23983,22081,23983,22083,23983,
+22572,23983,23847,23983,22465,23983,22507,23983,22211,23983, 9,24017,
+19396,23983,22567,23983, 9,24022, 8165,23983, 9,24027,23037,23983,
+11949,24031, 4669,24031,19631,24031,19559,23983, 9,24039, 8251,23983,
+ 9,24043, 3807,23983, 9,24047, 9875,23983, 9,24051,20501,23983,
+ 9,24055, 9,23982, 8251,24059, 3807,24059,22211,24059,19559,24059,
+20501,24059, 9875,24059, 8165,24059, 9,23983,22567,24074,18967,24074,
+18967,23983,21183,24081,23997,24081, 375,24081, 7,24081,23995,24089,
+ 9,24080, 9,21604,22869,24095,23894,24095,21997,24095,21365,24095,
+21475,24095,21509,24095,21405,24094,22047,24095,22357,24095,23919,24095,
+21995,24095,22583,24095,23906,24095,23910,24095,21127,24094,22319,24125,
+20843,24094,22289,24129,22419,24095,22421,24095,21279,24095, 973,24094,
+ 4745,24139,19559,24095,20361,24095,20713,24095, 9673,24095, 9967,24095,
+ 4283,24095, 4279,24095, 8251,24095, 3807,24095, 33,24095, 7971,24161,
+ 8165,24095, 25,24165, 9875,24095,20501,24095, 4745,24095,17423,24095,
+21405,24095,20273,24177,21785,24177,19631,24095,23879,24182, 4669,24095,
+23879,24186,11949,24095,23879,24190, 973,24095, 4805,24195,19687,24095,
+23493,24199,23879,24095,19631,24202,11949,24202, 4669,24202,20413,24095,
+ 11,24094, 8251,24213, 3807,24213,22211,24213,19559,24213,20501,24213,
+ 9875,24213, 8165,24213,21127,24095,21751,24229,20843,24095,21757,24233,
+ 11,24095,19687,24237,23610,24237,23493,24237,18967,24242, 7971,24237,
+18967,24237,23493,24248,18967,24095, 10,24252,24213,24255, 10,24253,
+24237,24259, 483,24253, 10,21605,23893,24265,24020,24265,22581,24265,
+22669,24265,19455,24265,23917,24265,19333,24265,23073,24265,19393,24265,
+23060,24265,24092,24265,23925,24265,24078,24265,23651,24265, 9755,24265,
+ 9317,24265, 4321,24265, 3833,24265,10171,24265, 4295,24265,22149,24265,
+18967,24307,24213,24265,18967,24311,24059,24265,18967,24315,21183,24265,
+19396,24265,23983,24320,19559,24321, 922,24265, 1413,24265,19683,24265,
+24074,24265,18967,24332,23055,24265,18967,24336,24080,24265, 9,24340,
+20839,24265,21399,24265,19385,24265,23879,24349, 9,24349,23983,24265,
+19396,24355,19396,24354,18967,24355, 9,24360, 9,24355,18967,24364,
+18967,24354, 9,24368, 9,24354,18967,24372,18967,24264,19441,24377,
+24213,24377,24059,24377,22149,24377,19656,24377,19631,24377, 9,24388,
+23983,24377, 9,24393, 9,24377,19631,24396, 903,24265, 483,24400,
+ 483,24265, 903,24404,18967,24265,23055,24408,24074,24408,19559,24409,
+ 9,24415, 9,24408,23983,24418,19559,24419,23983,24408, 9,24424,
+ 9,24265,24080,24428,18967,24428,19559,24433,23983,24432,23983,24428,
+18967,24438,18967,24429,19631,24443, 17,21604,21963,24447,23958,24447,
+23972,24447,23974,24447,23960,24447,23962,24447,21979,24447,21977,24447,
+21967,24447,21965,24447,23964,24447,23966,24447,23968,24447,23970,24447,
+21971,24447,21969,24447,21975,24447,21973,24447,22807,24447,19545,24447,
+23939,24486,20357,24447,23939,24490,20497,24447,23939,24494, 9669,24447,
+23939,24498, 9179,24447,23939,24502, 3799,24447,23939,24506, 4143,24447,
+23939,24510,10099,24447,23939,24514, 4133,24447,23939,24518,23939,24447,
+19545,24522,20357,24522,20497,24522,10099,24522, 4133,24522, 3799,24522,
+ 9669,24522, 9179,24522, 4143,24522, 15,24446, 15,21604,23357,24545,
+22713,24545,22423,24545, 8337,24545,20103,24545, 17,24544, 483,24545,
+ 19,21605,22163,24561,18967,24560, 13,21605,24080,24567,22149,24567,
+23983,24567,18967,24572,18967,24567,23983,24576, 113,21605,10385,24581,
+23879,24583, 9,24583,11731,21605, 67,24589,23879,24591, 9,24591,
+ 137,21605,12261,21605, 587,24599,10107,24601,11067,24601,12285,24601,
+ 1346,21605, 1505,24609, 256,21605, 8495,24613,10107,24613, 1486,21605,
+ 803,24619, 1504,21605,20029,24623,21103,24623,19781,24623, 973,21605,
+ 2845,24631, 4812,24631, 955,24631, 4805,24636, 2971,24631, 4814,24631,
+ 9,24631, 4805,24644, 4805,24631, 955,24648, 9,24648, 341,21605,
+ 803,24655,17049,24655,20884,21605,21820,24661,21807,24661,20413,24664,
+20413,24661,21807,24668,21182,21605,21195,24673,21836,24673,21829,24673,
+20103,24678,20103,24673,21829,24682,20984,21605,20839,24687,20413,24689,
+20413,24686,20839,24693,21258,21605,23755,24697,21749,24697,21574,21605,
+ 9,24703,21404,21605,24109,24707,21803,24707,21849,24707,21621,24707,
+21693,24707,21805,24707,21801,24707,21381,24721, 9,24721, 1141,21605,
+17025,24727, 1447,21605,17025,24731, 253,21605,17049,24735, 1471,21605,
+17049,24739,21018,21605, 5,24742,20839,24745, 5,24743,20885,24749,
+21276,21605, 7,24753,20413,21605, 6,24756, 4,24759,18967,24760,
+18967,24759, 4,24764, 4,24765,21314,24759,21570,24756,21571,24757,
+24773,24775, 6,24757,21314,24778,21314,24779,20885,24757,24661,24785,
+21571,24756,21570,24757,24789,24791,21315,24757,24783,24795,21381,24757,
+20885,24756,21791,24801,19475,24756,20984,24756,20839,24807,21315,24756,
+21747,24811,24781,24811,23457,24811, 5,24756,20762,24819,20762,24818,
+24763,24819,24767,24819,20839,24819,21399,24819,24771,24819,19683,24819,
+20763,24819,20843,24837,24823,24837,20763,24818,24821,24843,20839,24843,
+ 5,24757,24769,24849,20885,24849,24661,24849,20763,24756, 5,24856,
+20839,24859, 5,24857,20885,24863,20103,21605,21183,24867,21127,24869,
+24673,24869, 15,24866,21183,24866,21795,24877, 15,24867,19687,24866,
+ 9,24883,19625,24866,20843,24866, 9,24889,21549,24866,21127,24866,
+21183,24895, 9,24895,21105,24866,20763,24866, 5,24903,21527,24866,
+ 9,24867,19687,24909,20843,24909,21127,24909, 6,24866,21036,24917,
+ 5,24917,18967,24920,18967,24917, 5,24924,21036,24916, 5,24916,
+18967,24930,24881,24917,18967,24916, 5,24936, 7,24866,23755,24941,
+ 1325,24941, 331,24941, 59,24941, 265,24941, 7,24867,23929,24953,
+22205,24953,24919,24953,24923,24953,24927,24953,24929,24953,24933,24953,
+24939,24953,24905,24953, 4,24953,24903,24973,22269,24953,22263,24953,
+ 375,24953,21037,24953,24917,24983, 6,24867, 5,24986,24941,24989,
+24901,24987,24893,24987,24887,24987,21037,24866,24987,24999, 7,24999,
+20273,21605,21258,25004,21259,25005,25007,25009,21183,25005,21259,25004,
+21258,25005,25015,25017, 375,25005, 6,25004, 7,25004, 7,25005,
+25023,25027,21315,25027, 6,25005,25025,25033,20501,21605, 7,25036,
+ 4,25039, 4,25038,20885,25037, 7,25037,18967,25047, 5,25049,
+ 5,25048, 5,25047,18967,25054, 5,25046,21036,25047,21037,25037,
+22269,25063,21105,25063, 16,25036, 10,25037, 803,25037, 903,25037,
+ 9,25037, 17,25036,19625,25036,21105,25036,21549,25036,21037,25036,
+21829,25087,25059,25087,21127,25087,24095,25087,25071,25087, 11,25037,
+ 4,25036, 7,25100,25051,25101, 5,25036,25041,25107,18967,25106,
+25099,25111, 5,25037,25103,25115,25043,25115,25087,25115, 7,25114,
+25087,25123,25069,25115, 4,25037,25111,25129,25057,25129,25053,25129,
+25061,25129,25079,25129, 9165,21605, 9168,25140, 9169,25141,25143,25145,
+ 9169,25140, 9168,25141,25149,25151, 8337,21605, 15,25155, 6,25155,
+ 5,25158, 7,25155, 375,25163, 6,25154,25157,25167, 7,25154,
+25161,25171,23755,25171, 59,25171, 331,25171, 1325,25171, 265,25171,
+ 9617,21605, 9630,25184, 9631,25185,25187,25189, 9629,25185, 9631,25184,
+ 9630,25185,25195,25197, 375,25185, 6,25185, 7,25185, 6,25184,
+25205,25207, 7,25184,25203,25211, 9875,21605, 7,25214, 4,25216,
+ 4,25217, 9893,25215, 16,25214, 803,25215, 9,25215, 17,25214,
+ 903,25215, 4,25215,25231,25235, 5,25215,25219,25239,25225,25239,
+ 4,25214, 7,25244,25239,25247, 5,25214,25221,25251, 843,21605,
+ 9,25255, 413,21605, 7,25259, 375,25259, 1530,21605, 9,25265,
+ 1216,21605, 7,25269,21497,21605, 7,25273,21277,21605, 7,25276,
+21183,25279, 7,25277,21105,25283,21019,21605, 5,25286,20885,25289,
+ 5,25287,20839,25293, 265,21605, 7,25297, 7971,25299, 587,21605,
+ 11,25302, 9,25305, 9,25303, 11,25309, 5,25303,20501,25313,
+ 9875,25313, 903,21605, 9,25319, 11,25321, 11,25318, 9,25325,
+ 7,25319, 1141,25329, 33,25329, 1447,25329, 1011,25318, 7,25337,
+ 1275,21605, 9,25341, 1369,25343, 17,25340, 903,25347, 5,25340,
+ 1505,25351, 5,25341, 253,25355, 53,25355, 1471,25355, 1369,25340,
+ 9,25363, 1011,21605, 7,25367, 959,25369, 47,25369, 759,25369,
+ 903,25366, 7,25377, 1369,21605, 9929,25380, 9927,25383,11759,25380,
+ 7971,25387,17053,25381,10081,25391, 7,25380, 4,25394, 5,25395,
+ 7,25398,25381,25401, 0,25398,25403,25405, 4,25395, 0,25395,
+ 5,25410, 1,25380, 5,25415, 1,25416,25381,25419, 6,25416,
+25421,25423, 6,25415, 5,25426, 14,25415, 10,25380, 5,25433,
+ 0,25434, 0,25433, 5,25438, 16,25380,10081,25380, 7971,25445,
+17053,25445, 7971,25381,11759,25451,10081,25451, 17,25380, 11,25380,
+ 11,25381, 1965,25461, 3195,25461,25437,25461,25441,25461, 5197,25461,
+25405,25461,25413,25461, 1,25461, 4579,25461,15899,25461, 15,25380,
+23763,25483,23771,25483, 3755,25483, 1995,25483, 0,25483,25461,25493,
+25477,25483, 4917,25483,17013,25483, 4,25380, 7,25502,20029,25503,
+19781,25503,21103,25503, 5,25380,25409,25513, 803,25513, 4,25381,
+20033,25519,25457,25519, 5,25381,25397,25525,25505,25525,25443,25525,
+10219,25525, 959,25525, 47,25525, 759,25525, 1275,25380, 9,25541,
+ 241,21605, 9,25545, 483,25545, 7,25544, 8495,25551,10107,25551,
+17571,21605, 7,25557, 4,25558, 4,25559, 16,25557, 17,25557,
+ 4,25556,25567,25569, 5,25556,25561,25573,25565,25573, 4,25557,
+ 7,25578,25573,25581, 5,25557,25563,25585,17371,21605,16711,25589,
+ 7,25589,14315,21605, 5,25594, 6,25596, 6,25597, 14,25594,
+ 15,25594, 6,25594, 5,25606, 7,25594,25601,25611, 6,25595,
+25605,25615, 7,25595,25609,25619,25599,25619,25603,25619,15705,21605,
+ 767,25627, 483,25629, 4,25627, 483,25633,21527,21605,20103,25636,
+ 5,25637, 17,25641, 5,25636, 9,25645,21315,21605,21183,25648,
+21795,25651,21183,25649,24673,25655,21747,25649,20413,25659,23457,25649,
+20413,25663,20413,25648,23457,25667,21747,25667,21037,21605,21829,25673,
+20501,25675,21127,25673,20501,25679,21105,25673, 11,25673,20501,25685,
+ 15,25673,20501,25672,24095,25691,21829,25691,21127,25691,20187,25672,
+24095,25673,20501,25701, 6,25673, 7,25673, 6,25672,25707,25709,
+20103,25709, 7,25672,21749,25715,23755,25715,25705,25715,20103,25672,
+ 7,25723,20763,21605,20482,25726,20839,25729,20483,25726,21183,25726,
+ 4,25727,23147,25737,24819,25737, 5,25727,23383,25743,20956,25743,
+20773,25743,24953,25743,20885,25743,20413,25752,20413,25743,20885,25756,
+ 4,25726,21605,25761, 7,25763,25743,25765,24849,25761,20413,25761,
+ 5,25726,20839,25773,20413,25775,20413,25772,20839,25779,20413,25726,
+ 5,25782,20839,25785, 5,25783,20885,25789, 5,21604,25275,25793,
+25003,25793,25725,25793,24755,25793,21049,25793,21242,25793,20773,25793,
+20956,25793,25699,25793,22725,25793,22391,25793,24682,25793,23209,25793,
+25712,25793,25733,25793,22711,25793,22395,25793,24668,25793,23213,25793,
+25770,25793,25083,25793,23235,25793,22017,25793,25085,25793,23231,25793,
+22025,25793,25087,25793,25691,25793,22357,25793,22047,25793,23455,25793,
+15567,25793,12971,25793,13355,25793,13541,25793,22869,25793,22635,25793,
+23021,25793,23894,25793,23919,25793,21997,25793,21995,25793,22583,25793,
+23906,25793,23910,25793,22419,25793,22421,25793,23034,25793,19656,25793,
+19441,25793,11970,25793, 4696,25793,22674,25793,22069,25793,25081,25793,
+22011,25793, 9357,25793,25205,25793,25027,25793, 9356,25793,25171,25793,
+24941,25793,23199,25793,23175,25793,20606,25793,25593,25793,19396,25793,
+11131,25793,21059,25793,23018,25793,20501,25933,20057,25793,22633,25793,
+20501,25939,21405,25793, 357,25793, 367,25793, 471,25793, 1249,25793,
+ 628,25793, 4569,25793,14625,25793, 4545,25793,13325,25793, 8337,25961,
+ 4549,25793,23229,25793,20501,25967,23233,25793,20501,25971,25706,25793,
+20186,25793, 8386,25793, 9083,25793, 9484,25793, 9984,25793,20187,25793,
+ 8387,25793,19513,25793, 8401,25793,20219,25793, 4137,25793,10273,25793,
+ 4063,25793, 3863,25793,20697,25793, 9955,25793,20353,25793,25709,25793,
+20103,26010,25715,25793,24673,25793,20103,26016,24697,25793,21183,25793,
+20103,26022,21259,25793, 4745,25793,17423,25793, 9082,25793,22673,25793,
+20413,26034,23033,25793,20413,26038,25551,25793,24613,25793,22249,25793,
+20326,25793,21087,25793, 9704,25793,23879,25793,19631,26054,11949,26054,
+ 4669,26054,11949,25793,23879,26062, 9,26062, 4669,25793,23879,26068,
+ 9,26068,20805,25793,23015,25793,18967,26076,20501,26079,18967,26077,
+20413,26083,19631,25793,23879,26086, 9,26086, 9377,25793, 11,26092,
+ 341,25793, 241,26097, 8165,25793, 256,25793, 257,25793, 11,25793,
+ 9195,26106,20501,26106, 587,26106, 9377,26106, 9875,26106,20763,26106,
+20804,25793,10219,25793, 587,26123, 53,25793,20501,25793, 10,26128,
+ 10,26129, 11,26128,26133,26135, 11,26129,26131,26139,20413,25793,
+20885,26142,24661,26142,25761,26142,22673,26142,23033,26142,20762,25793,
+25761,25793,20413,26156,24661,25793,20413,26160,20885,25793,20413,26164,
+ 17,25793,20762,26168,20762,26169,20763,26169,26171,26175,20763,26168,
+26173,26179, 9,25793,11949,26182, 4669,26182,19631,26182,18967,26182,
+20273,26182, 9617,26182,20763,25793, 11,26196,25707,25793, 9875,25793,
+ 10,26202, 10,26203, 11,26202,26207,26209, 11,26203,26205,26213,
+ 253,25793, 6,25793,25273,26219,24753,26219,24999,26219,24953,26219,
+25005,26219,25723,26219,25707,26219,25185,26219,25163,26219,25589,26219,
+24081,26219, 4713,26219,16363,26219, 9195,26219, 4863,26219,13119,26219,
+ 8757,26219, 4213,26219,23493,26219, 8109,26219, 3933,26219, 4147,26219,
+ 9335,26219,20103,26219, 8337,26219,20273,26219, 8997,26219,25673,26219,
+ 241,26219,18967,26219, 11,26279, 11,26219, 587,26219, 8387,26219,
+14653,26219,20187,26219, 7,25793, 8717,26293, 3785,26293,25673,26292,
+23755,26293,10351,26293, 4311,26293, 4329,26293,10055,26293,20103,26292,
+ 8337,26292, 8997,26292, 15,26293,18967,26317,18967,26292, 241,26292,
+ 9195,25793, 11,26324, 1471,25793, 6,25792,23175,26331,25977,26331,
+24941,26331,26311,26331,26299,26331,25975,26331,25715,26331,24697,26331,
+26315,26331,23199,26331,25171,26331,25979,26331,26033,26331,26313,26331,
+16381,26331,26323,26331,26103,26331,13325,26331, 8685,26331,26155,26331,
+26321,26331,26293,26331,20103,26375,25673,26375, 8997,26375, 8337,26375,
+ 241,26375,18967,26375, 17,26331, 1369,26331, 4569,26331,19513,26331,
+ 4063,26331,10273,26331, 3863,26331,20697,26331, 9955,26331, 4137,26331,
+20219,26331, 8401,26331,14625,26331, 7,25792,25987,26415,26266,26415,
+26201,26415,26274,26415,26272,26415,25989,26415,25981,26415,26268,26415,
+21604,26415,18967,26433,26219,26435, 8997,26415,26219,26438,26105,26415,
+26276,26415, 8647,26415,19396,26415,26197,26415,26278,26415,26219,26415,
+20103,26454,25673,26454, 8997,26454, 8337,26454, 241,26454,18967,26454,
+ 8337,26415,26219,26468,20103,26415,26219,26472, 9,26415,18967,26476,
+ 241,26415, 1,26481,26219,26483,26219,26480,25673,26415,26219,26488,
+18967,26415, 9,26492,26219,26492, 587,25793, 11,26498, 1369,25793,
+25673,25793,20501,26505, 6,26504, 7,26504,26331,26511, 6,26505,
+26511,26515, 7,26505,26509,26519,26219,26519,18967,25793, 9,26524,
+23015,26524,20501,26529, 483,26525, 6,26524, 7,26524,26331,26537,
+ 7,26525,26219,26541, 6,26525, 241,25793, 1,26547, 7,26549,
+26331,26551, 7,26548,26219,26555, 7,26547, 1,26558,26219,26561,
+26219,26559, 7,26546,26331,26567,20273,25793, 9,26570,14315,25793,
+ 8997,25793, 7,26576,26331,26579, 7,26577,26219,26583, 9617,25793,
+ 9,26586, 8337,25793, 7,26590,26331,26593, 483,26591, 9,26591,
+ 7,26591,26219,26601,20103,25793,21183,26604,24673,26604,25709,26604,
+ 7,26604,26331,26613, 483,26605, 9,26605, 7,26605,26219,26621,
+ 4,21604,21955,26625,24877,26625,23433,26625,21947,26625,21951,26625,
+24801,26625,23415,26625,21943,26625,22282,26625,22251,26625,22266,26625,
+22253,26625,24811,26625,25667,26625,22363,26625,22053,26625,21116,26625,
+21560,26625,25735,26625,23437,26625,22699,26625,21253,26625,23930,26625,
+22206,26625,24805,26625,23937,26625,22587,26625,23039,26625,23053,26625,
+23051,26625,21961,26625,21981,26625,20465,26625,20576,26625,21985,26625,
+21983,26625,22077,26625,22075,26625, 9573,26625, 9575,26625,23847,26625,
+22465,26625,22507,26625, 3,26625, 7,26712, 9605,26625, 586,26625,
+ 9599,26625,19474,26625,20413,26723,20186,26625,20805,26625,22423,26625,
+22713,26625,22205,26625,20501,26734,19625,26625,20501,26738,19687,26625,
+23929,26625,20501,26744,23934,26625,20413,26749,22585,26625,20413,26753,
+ 8386,26625,23927,26625,18967,26759,20501,26761,18967,26758,20413,26765,
+23037,26625,19631,26769,11949,26769, 4669,26769, 1418,26625, 9565,26777,
+ 669,26625, 9565,26781,22263,26625,20501,26784,22269,26625,20501,26788,
+21549,26625,20501,26792,20843,26625,21105,26625,20501,26798,21127,26625,
+23423,26625,20103,26805,23357,26625, 7971,26625, 1170,26625,25203,26813,
+20501,26625,22269,26816,22263,26816,21105,26816,21549,26816,22205,26816,
+23929,26816,19625,26816,20762,26625,26219,26833,23361,26625,20413,26837,
+ 11,26625, 1,26841,18967,26841, 15,26625,18967,26846,20413,26849,
+18967,26847,20501,26853, 1369,26846, 9565,26857, 7,26625, 4,26861,
+ 3,26860, 4,26860,21605,26867,20103,26860, 8337,26860,18967,26860,
+26219,26875, 1011,26860,25203,26879, 6,26625,21604,26882,20763,26883,
+ 6,26624,24811,26889,22053,26889,22363,26889,25667,26889,20501,26889,
+25649,26889,20413,26901,18967,26889, 7,26624,24265,26907,19559,26907,
+ 9673,26907, 8251,26907, 3807,26907, 4283,26907,20361,26907, 4279,26907,
+20713,26907, 9967,26907, 483,26625, 1369,26625, 15,26930, 9565,26933,
+25649,26625,20413,26937,18967,26625, 15,26940,20413,26943,23927,26940,
+20413,26947, 6,26940,21604,26950, 7,26940,26219,26955, 7,26941,
+26953,26959,26885,26959,26331,26959,23755,26959, 6,26941, 1011,26625,
+ 7,26971,25207,26973,23197,26973, 7,26970,25203,26979,20103,26625,
+ 7,26982, 8337,26625, 7,26986, 9565,26625, 9617,26625, 6,26992,
+ 7,26992, 6,26993,26997,26999, 7,26993,26995,27003,20273,26625,
+ 6,27006, 7,27006, 6,27007,27011,27013, 7,27007,27009,27017,
+ 7,21604,25987,27021,26266,27021,22732,27021,22733,27021,25087,27021,
+25691,27021,22357,27021,22047,27021,26027,27021,25989,27021,26268,27021,
+20819,27021,20152,27021, 8374,27021, 8389,27021,20201,27021,20952,27021,
+ 1,27021, 4,27056, 4,27057, 3,27021, 4,27062, 902,27021,
+19559,27021,20361,27021, 9673,27021,20713,27021, 9967,27021, 4283,27021,
+ 4279,27021, 8251,27021, 3807,27021,26100,27021,26106,27021,26128,27021,
+26202,27021, 8647,27021,20326,27021,25239,27021,25115,27021, 8800,27021,
+21087,27021, 357,27021, 367,27021, 471,27021, 1249,27021, 8086,27021,
+19687,27021, 9704,27021,25742,27021,20885,27021, 483,27122, 1141,27021,
+ 375,27021,20103,27128, 8337,27128,25673,27021,20501,27135,26219,27021,
+20103,27138, 8337,27138, 11,27139, 17,27139, 1447,27021,21127,27021,
+20843,27021, 8165,27021,25793,27154, 265,27155, 33,27021, 567,27021,
+22729,27021,21315,27164, 11,27021,25793,27169, 8495,27169,25793,27168,
+ 8495,27168,18967,27169,21037,27169,21497,27021,21277,27021,21276,27021,
+21496,27021,20273,27021, 9,27190,21315,27190,20103,27021,26219,27196,
+ 375,27196,21037,27196,21314,27021,22729,27205,20273,27205,21036,27021,
+25129,27211,20103,27211,21183,27021, 9,27021,20273,27218, 9617,27218,
+21315,27021,22729,27224,20273,27224,21037,27021,20103,27230,25743,27021,
+ 25,27021, 7971,27236, 7971,27021, 25,27240, 9617,27021, 9,27244,
+ 8337,27021,26219,27248, 375,27248, 4,27021,25037,27255,25215,27255,
+ 3,27254, 1,27254,25727,27255, 483,27255,20691,27255, 9923,27255,
+18967,27255,20103,27273,18967,27254,22729,27277,20273,27277, 5,27021,
+27061,27283, 1,27283,25727,27282,18967,27283,22729,27291,20273,27291,
+ 17,27283,18967,27297,18967,27282,25129,27301,20103,27301,25793,27021,
+ 8165,27306, 11,27306,20501,27306, 9875,27306, 9731,27021, 8495,27021,
+ 11,27318, 4,27020, 1,27323,27283,27324,27286,27323,27289,27323,
+27121,27323,24265,27323,27225,27323,27290,27323,27211,27323,27301,27323,
+27283,27323, 1,27344,25727,27345,18967,27344,18967,27345,19559,27323,
+18967,27323,27283,27356, 4283,27323, 9673,27323, 8251,27323, 3807,27323,
+20361,27323, 9967,27323,20713,27323, 4279,27323, 5,27020,27059,27377,
+27263,27377,27235,27377,27264,27377, 8647,27377,19396,27377,27231,27377,
+27272,27377,27205,27377,27277,27377,27255,27377, 1,27399,25727,27398,
+18967,27398,18967,27399,26219,27377, 9,27377,18967,27410,25727,27377,
+27255,27414,18967,27377, 9,27418,27255,27418, 1011,27021,25727,27021,
+ 5,27426,27323,27429, 5,27427,27255,27433,18967,27021, 7,27437,
+21605,27439, 4,27441, 4,27440, 4,27439,21605,27446, 4,27438,
+ 16,27437, 113,27437,11731,27437, 17,27437, 4,27436,22729,27461,
+21605,27460,27459,27465,27377,27461,20273,27461, 5,27436,25129,27473,
+27443,27473,27323,27473,20103,27473, 5,27437,25101,27483,23193,27483,
+ 7,27483,21605,27489,27461,27491,27449,27483,27445,27483,27461,27483,
+27255,27483,21315,27483, 4,27437, 7,27504,27473,27505,27283,27505,
+21037,27505, 483,27021,20885,27514,20501,27021, 241,27519,25793,27518,
+ 9875,27021, 241,27525,25793,27524,20413,27021, 6,21604,24811,27533,
+25667,27533,22363,27533,22053,27533, 1,27533, 5,27542,22605,27545,
+22677,27545,23023,27545,25483,27545,20644,27533,21359,27533,25793,27557,
+12345,27533, 5,27561, 4,27560,27563,27565, 4,27561, 5,27560,
+27569,27571, 5123,27533, 5,27575, 4,27574,27577,27579, 4,27575,
+ 5,27574,27583,27585,19667,27533, 5,27589, 4,27588,27591,27593,
+ 4,27589, 5,27588,27597,27599, 341,27533,21052,27533,25793,27605,
+25649,27533,20413,27609,25673,27533,21183,27613,26861,27533, 9,27617,
+26293,27533, 9,27621,17219,27533, 903,27625, 4663,27533, 903,27629,
+23195,27533,21315,27633,10219,27533, 903,27637, 53,27533,25025,27533,
+21315,27643,20103,27533, 9,27647,21314,27533,24795,27651,26142,27651,
+20413,27651,25793,27656,25793,27651,20413,27660,21036,27533,25129,27665,
+21259,27533,26625,27669, 17,27533,21315,27673,21037,27533,25793,27677,
+20501,27679,20501,27676,25793,27683, 8337,27533, 9,27687, 1471,27533,
+ 5,27533, 6,27693, 587,27695,21605,27697, 1,27692,22605,27701,
+22677,27701,23023,27701,25483,27701,27699,27701, 6,27692,25380,27713,
+27701,27715, 1369,27713,21605,27718,27701,27721,21605,27713, 1369,27724,
+27701,27727, 9,27693,18967,27692,25129,27733, 9935,27693,20645,27693,
+ 4,27533,20501,27740,26524,27741,20501,27745,25793,27741,18967,27748,
+20501,27751,18967,27749,20413,27755,18967,27741,25793,27758,20501,27761,
+20501,27759,25793,27765,18967,27740,26142,27769,20413,27769,25793,27772,
+25793,27769,20413,27776,26940,27533,26969,27781, 253,27533, 4,27532,
+24811,27787,22053,27787,22363,27787,25667,27787,20501,27787,25649,27787,
+20413,27799,18967,27787, 5,27532,24941,27805,23175,27805,25715,27805,
+24697,27805,25171,27805,23199,27805,26959,27805,16381,27805,13325,27805,
+ 8685,27805,26293,27805, 17,27805, 1369,27805, 4569,27805,19513,27805,
+ 4063,27805,10273,27805, 4137,27805,20219,27805, 8401,27805, 3863,27805,
+14625,27805,20697,27805, 9955,27805, 241,27533,18967,27533,20486,27857,
+20487,27857,20413,27857, 4,27862, 4,27863, 580,27857, 483,27857,
+ 4,27870, 4,27871, 581,27857, 4,27856,27861,27879,26142,27879,
+27877,27879,20413,27879,25793,27886,25793,27879,20413,27890, 5,27856,
+25129,27895,27859,27895,27865,27895,27869,27895,27873,27895, 5,27857,
+25101,27907,27555,27907,23193,27907,27743,27907,27886,27907,27867,27907,
+27875,27907,20413,27907,27879,27922,27879,27907,20413,27926, 4,27857,
+20413,27930,27895,27933, 483,27930,27895,27937,27895,27931,20413,27941,
+ 1369,27533, 5,27945,20501,27533,21037,27949, 4,27948,27907,27953,
+ 5,27948,18967,27956,21037,27948,25793,27961, 4,27949,27959,27965,
+27665,27965,27733,27965,27895,27965, 5,27949,27961,27975, 7,21605,
+ 1,27979, 2,27981, 5,27983, 5,27982, 1010,27981, 5,27981,
+ 2,27990, 3,27978, 9,27995, 4311,27979,10351,27979, 4329,27979,
+ 3785,27979,10055,27979, 8717,27979,26283,27979,26388,27979,23790,27979,
+27828,27979,22143,27979,22149,27979,24213,27979,24059,27979, 331,27979,
+ 8337,28027,20103,28027,21036,27978,21049,28033,21242,28033,21183,28033,
+20103,28038,20103,28033,21183,28042,26331,27979,20103,28047, 8337,28047,
+ 17,28046,21277,27978,21183,28055,27693,27979,18967,28059,25793,27979,
+21127,28063,20843,28063,19687,28063, 8337,28063,20103,28063, 7971,28063,
+ 241,28063, 8495,27979, 241,28079, 8337,27978,26331,28083,27805,28083,
+ 1325,28083, 331,28083, 59,28083,23755,28083,25793,28083, 265,28083,
+21037,27979,27665,28101,28033,28101, 11,28101,21315,27979, 1325,27979,
+ 8337,28111,20103,28111, 59,27979, 8337,28117,20103,28117,10291,27979,
+ 483,28123,20273,27978,27533,28127,21315,28129,20103,27978,26331,28133,
+27805,28133,23755,28133, 331,28133, 1325,28133, 59,28133,25793,28133,
+ 265,28133,21105,27979, 11,27979,20103,28153, 8337,28153, 17,27979,
+26331,28158, 8337,28159,20103,28159,27805,28158,23755,28158,27731,27979,
+27692,27979, 9,28173,23755,27979,20103,28177, 8337,28177, 17,28176,
+23983,27979, 9,28185, 15,27979, 3,28189,20273,28189, 9617,28189,
+27805,27979,20103,28197, 8337,28197, 17,28196, 241,27978,25793,28205,
+ 8495,28205,10107,28205, 265,27979,20103,28213, 8337,28213, 4,27978,
+27985,28219,21105,28219,21549,28219,19625,28219,28173,28219,18967,28229,
+ 5,27978,19397,28233,28060,28233,18966,28232,18966,28233, 9,28241,
+27323,28233,23651,28233,26907,28233, 9755,28233, 9317,28233, 4321,28233,
+ 3833,28233,10171,28233, 4295,28233,28101,28233,21183,28233, 1413,28233,
+ 922,28233,27856,28233,28059,28233,18967,28272,19396,28233,28239,28277,
+19683,28233,18967,28232,28235,28283,28242,28283,28241,28283, 9,28288,
+ 9,28283,28241,28292,27533,28233,18967,28296, 9,28233,18967,28300,
+28239,28303,18967,28301,28241,28307,21399,28233,20839,28233, 483,28233,
+ 903,28314, 903,28233, 483,28318,18967,28233,28059,28322,28239,28323,
+ 9,28327,27533,28322, 9,28322,28239,28333, 4,27979,27987,28337,
+27993,28337,28270,28337,28330,28337,28298,28337,27989,28337, 586,28337,
+ 3,28337, 7,28352, 7,28337, 3,28356,27856,28337,28233,28360,
+21575,28337,28296,28337,18967,28366,27533,28337,28322,28370,18967,28370,
+28233,28374,28233,28370,18967,28378,28322,28337,27533,28382,18967,28337,
+28296,28386,27533,28386,28233,28390,28233,28386,27533,28394,28233,28337,
+27856,28398,27533,28398,18967,28402,18967,28398,27533,28406, 5,27979,
+27255,28411, 9287,28411,20885,28411,27533,28410,28219,28419,18967,28421,
+ 9,28419, 241,28411, 483,28427,28219,28411,27856,28431,27533,28431,
+18967,28434,18967,28431,27533,28438,18967,28410,28219,28443, 17,28443,
+21036,27979,21069,28449,21267,28449,21305,28449,28219,28449,21259,28449,
+20103,28459, 17,28449,21037,27978,26331,28465,21749,28465,27805,28465,
+23755,28465,28449,28465,25793,28465,10001,27979, 9,28479,27533,27979,
+21496,28483,21277,28483,20885,28483,27931,28483, 9,28483, 9731,28483,
+21037,28482,21037,28483,21315,28483,20273,28500,21036,28482,28499,28505,
+21036,28483,28497,28509,20273,28483,21315,28512, 4,28483, 5,28483,
+28386,28519,28337,28519,18967,28522,18967,28519,28337,28526, 17,28519,
+ 4,28482,28519,28533, 5,28482,28517,28537,28219,28537,18967,28541,
+ 9,28537, 1275,27979,20031,28547,20885,28547, 5,28547,18967,27979,
+20103,28555, 5,28555,28337,28559, 9,28559, 5,28554,28219,28565,
+ 17,28565,21527,27979,18967,27978,28519,28573, 7,28573, 4,28576,
+ 4,28577,28553,28573,21605,28573, 5,28584,28581,28587, 5,28585,
+28579,28591, 16,28573,28591,28595, 11,28573,20273,28573, 567,28573,
+ 5,28572, 4,28573, 7,28606,28591,28609,28483,28607,28547,28607,
+ 483,28607, 5,28573,21605,28618,28581,28621,20762,21605,20803,28625,
+ 7,28625, 4,28628,25743,28631, 4,28629,24687,28635,25773,28635,
+21035,28625, 16,28625,25743,28643,20999,28625,20985,28625, 483,28649,
+ 11,28625,20273,28625, 567,28625, 4,28624,20985,28659, 5,28624,
+20956,28663,20773,28663,20885,28663,20413,28668,20413,28663,20885,28672,
+20482,28625,20839,28677, 4,28625, 7,28680,25743,28683,20843,28681,
+ 483,28681, 5,28625,21605,28690,28635,28693,20839,28691,20413,28697,
+20413,28690,20839,28701,20413,28625, 5,28705,20885,28707, 5,28704,
+20839,28711, 5,21605,21183,28715,18967,28716,24673,28719,21194,28715,
+24673,28723,28573,28714,28581,28727,20620,28714,20621,28714, 9994,28714,
+ 9995,28714, 1,28715, 1,28714,26781,28741, 668,28741,26625,28745,
+26777,28741, 1419,28741,26625,28751,26857,28741,26933,28741, 2,28741,
+ 9,28741, 587,28760,26625,28763, 587,28741, 9,28766,26625,28769,
+21018,28714,20839,28773,19396,28715,22579,28777,21611,28777,19683,28715,
+20413,28783,23490,28715,20413,28787,21526,28714,26816,28791,24953,28791,
+ 17,28791,20501,28791,26625,28798,26625,28791,20501,28802,20762,28714,
+20773,28807,20956,28807,20885,28807,20413,28812,20413,28807,20885,28816,
+27787,28715,18967,28821,20501,28823,18967,28820,20413,28827,27802,28715,
+20413,28831,21019,28714,20885,28835,27856,28715,20413,28839,27931,28715,
+20413,28843,26904,28715,20413,28847,26861,28715,18967,28851,20823,28715,
+20645,28715, 9935,28715,21362,28715,21376,28715,27533,28715,18967,28865,
+20501,28867,18967,28864,20413,28871, 9994,28715,28737,28875,20822,28715,
+28807,28879,20763,28715,28835,28883,28816,28883,20866,28883,21021,28883,
+20413,28883,28807,28892,20843,28892,28807,28883,20413,28898, 9,28899,
+20843,28883,20413,28904, 9,28882,28807,28909, 803,28715, 11,28913,
+27979,28715,18967,28917,20621,28715,28731,28921,20413,28714,21399,28925,
+20839,28925,25737,28925,19683,28925,20763,28925,20843,28935,28807,28935,
+20763,28924,20839,28941,25737,28715,20413,28945,20839,28715,20413,28949,
+20620,28715,28733,28953,21399,28715,20413,28957, 483,28715,21315,28960,
+26860,28715,28337,28715, 11,28967,23457,28715,18967,28970,20413,28973,
+18967,28971,20501,28977, 9,28715,21315,28980,20763,28981,20763,28980,
+28807,28987, 17,28715,11949,28991, 4669,28991,19631,28991,18967,28991,
+20273,28991, 9617,28991, 9995,28715,28735,29005, 1275,28714, 1505,29009,
+26889,28715,18967,29012,20413,29015,18967,29013,20501,29019, 1369,28714,
+ 803,29023, 587,28715, 1505,28715, 6,28714,26940,29031,20413,29033,
+28965,29031,18967,29037,18967,29030,26816,29041,24953,29041, 17,29041,
+20501,29041,26625,29048,26625,29041,20501,29052,26625,29031,18967,29056,
+20413,29059,18967,29057,20501,29063,18967,29031,20413,29067,26625,29069,
+26625,29066,20413,29073, 7,28714,19397,29077, 0,29077, 2,29080,
+28991,29083, 2,29077, 0,29087, 0,29086,28991,29091,28999,29077,
+ 1,29076,29091,29097,29083,29097,29081,29097, 2,29103, 1,29077,
+29089,29107, 2,29107,28852,29077, 0,29076, 2,29115,29107,29116,
+29110,29115,29107,29115, 2,29122,18966,29076,18966,29077,29097,29129,
+28991,29129, 9,29129,27323,29077,23651,29077,26907,29077, 9755,29077,
+ 9317,29077, 4321,29077, 3833,29077,10171,29077, 4295,29077,21183,29077,
+ 1413,29077, 922,29077,26940,29077,28851,29077,18967,29162,19396,29077,
+29127,29167,19683,29077,18967,29076,29079,29173,29134,29173,29129,29173,
+ 9,29178, 9,29173,29129,29182,26625,29077,18967,29186,21399,29077,
+ 9,29077,18967,29192,29127,29195,18967,29193,29129,29199,20839,29077,
+ 483,29077, 903,29204, 903,29077, 483,29208,18967,29077,29115,29213,
+28851,29212,29127,29213, 9,29219,26625,29212, 9,29212,29127,29225,
+ 6,28715,29083,29229,29097,29230,29091,29229,29097,29234,29098,29229,
+29100,29229,29105,29229,29109,29229,29119,29229,29121,29229,29125,29229,
+29111,29229,29115,29253,24907,29229,25639,29229,22369,29229,28600,29229,
+28557,29229,28654,29229,22057,29229,29178,29229,29160,29229,19706,29229,
+10737,29229,10475,29229,10979,29229,19597,29229,12137,29229,29219,29229,
+29215,29229,29130,29229,29222,29229,29129,29229,29173,29294,29097,29294,
+29188,29229,29097,29229,29091,29302,29083,29302,29129,29302, 1,29229,
+ 5,29310, 5,29229, 1,29314,29173,29229,29129,29318,19687,29229,
+19631,29322,26940,29229,29077,29326,10697,29229, 8165,29331,19631,29229,
+19687,29334,21575,29229,20273,29229,28573,29340,28625,29340,29186,29229,
+18967,29346,19384,29229,19559,29351,28625,29229,20273,29354,28573,29229,
+20273,29358, 11,29229,18967,29362,19559,29365,18967,29363,19631,29369,
+ 587,29229,21605,29373,29313,29375,29317,29375,26625,29229,29212,29380,
+18967,29380,29077,29384,29077,29380,18967,29388,29212,29229,29127,29393,
+29115,29393,26625,29392,18967,29229,29186,29400,29077,29401,29173,29405,
+29097,29405,26625,29400,29077,29410, 11,29401,19687,29415, 11,29400,
+19559,29419,29077,29400,29127,29423,26625,29422,29115,29423,29077,29229,
+26940,29430,26625,29430,18967,29434,18967,29430,29127,29439,26625,29438,
+29115,29439,18967,29431,29129,29447, 7,28715,28791,29451,29041,29451,
+19625,29451,21549,29451,21105,29451,26625,29450,29031,29463,18967,29465,
+ 1275,29451, 903,29469,29031,29451,26940,29473,26625,29473,18967,29476,
+18967,29473,26625,29480,20763,28714,28635,29485,28855,29485,20839,29485,
+20413,29491,20413,29484,20839,29495, 9,29485,20762,28715,28941,29501,
+29495,29501,28773,29501,20815,29501,20993,29501,21027,29501,28985,29501,
+29498,29501,29485,29501,20413,29519, 9,29518,20985,29501,20413,29525,
+ 9,29501,29485,29528,21527,28714,29229,29533, 9,29533,26940,28715,
+20413,29539, 9731,28715, 7,29543,26625,28715,20762,29547, 6,29547,
+ 7,29547,29400,29553,29229,29553,18967,29556,18967,29552,18967,29553,
+29229,29562, 6,29546,29553,29567, 7,29546,29551,29571,29031,29571,
+18967,29575,18967,29546,20413,29579,18967,29547,20501,29583, 6,29582,
+ 7,29582, 6,29583,29589,29591, 7,29583,29587,29595, 903,28715,
+ 7,29599,18967,28715,21183,29602,24673,29605,21183,29603,21795,29609,
+23457,29602,20413,29613,27787,29602,20413,29617,27533,29602,20413,29621,
+20413,29603,27787,29625,26889,29625,26625,29625,27533,29625,23457,29625,
+26889,29602,20413,29637,26625,29602,20413,29641,21315,28715,21183,29645,
+24673,29645,25709,29645, 7,29645, 483,29644, 9,29644,18967,28714,
+27965,29659,27948,29659,26816,29659,26898,29659,27796,29659,24953,29659,
+20119,29659,25129,29659,29653,29659,26887,29659,23480,29659,25099,29659,
+21605,29659, 6,29684,29645,29687,29451,29659,28625,29691,28573,29691,
+20187,29659,28625,29659,19683,29659,20839,29659,21399,29659,28573,29659,
+27787,29659,20501,29708,20501,29659,27787,29712,26889,29712,26625,29712,
+27533,29712,23457,29712,27533,29659,20501,29724, 17,29659, 6,29658,
+26816,29731,24953,29731,29451,29731, 17,29731,20501,29731,26625,29740,
+26625,29731,20501,29744, 7,29658,29697,29749,20103,29749,20186,29659,
+29731,29755, 6,29659,29752,29759,24941,29759,23175,29759,29645,29759,
+28133,29759,21605,29758,29645,29771,20103,29759,29749,29774,29077,29759,
+29749,29759,20103,29780, 11,29759,20763,29759,26625,29787, 7,29659,
+29731,29791,20103,29793,20103,29790,29731,29797,23457,29659,20501,29800,
+26889,29659,20501,29804,20103,29659, 7,29809,29759,29811, 7,29808,
+29731,29815,26625,29659,20501,29818, 6,29819, 7,29819, 6,29818,
+29825,29827, 7,29818,29823,29831,21036,21605,27965,29835,27951,29835,
+27948,29835,26816,29835,27796,29835,26898,29835,27216,29835,28151,29835,
+28101,29835,26887,29835,21194,29835,24673,29857,24675,29835,21069,29835,
+21267,29835,21305,29835,24953,29835,20119,29835,22723,29835,25129,29835,
+25063,29835,23480,29835,21796,29835,21795,29835,20501,29882,25099,29835,
+18967,29835,21183,29889,21795,29891,21183,29888,24673,29895,21259,29835,
+20103,29899,21183,29835,27021,29902,18967,29902,24673,29907,20187,29835,
+21127,29911,28573,29835,28625,29835,19683,29835,20839,29835,21399,29835,
+27787,29835,20501,29924,27533,29835,20501,29928,27021,29835,21183,29932,
+20501,29835,27787,29936,26889,29936,26625,29936,27533,29936,23457,29936,
+21795,29936, 17,29835, 6,29834,26816,29953,21069,29953,21267,29953,
+24953,29953,21305,29953,25063,29953,21259,29953,20103,29967, 17,29953,
+20501,29953,26625,29972,26625,29953,20501,29976, 7,29834,21242,29981,
+29911,29981,21049,29981,21183,29981,20103,29988,20103,29981,21183,29992,
+20186,29835,29953,29997,21105,29997, 6,29835,28133,30003,21279,30003,
+21166,30003,29992,30003,23175,30003,24941,30003,20103,30003,21127,30016,
+29981,30016,21127,30003,20103,30022,29981,30003,20103,30026, 11,30003,
+20763,30003,26625,30033, 7,29835,21105,30037,20103,30039,29953,30037,
+20103,30043,20103,30036,29953,30047,21105,30047,23457,29835,20501,30052,
+26889,29835,20501,30056,26625,29835,20501,30060, 6,30061, 7,30061,
+ 6,30060,30067,30069, 7,30060,30065,30073,20103,29835, 7,30077,
+30003,30079,21183,30079, 7,30076,29953,30085,21105,30085, 4,21605,
+26371,30091,26450,30091,26539,30091,26542,30091,27439,30090,27483,30101,
+17048,30091,26496,30091,26452,30091,26373,30091,26466,30091,26386,30091,
+ 586,30091, 803,30117, 586,30090, 767,30121, 1,30091, 15,30124,
+ 2,30124, 7,30124,26219,30131, 7,30125,23755,30135,26331,30135,
+27805,30135,25793,30135, 1,30090,26454,30145,26375,30145,26415,30145,
+26219,30150,26219,30145,26415,30154,26292,30145,26331,30159,25793,30145,
+ 7,30162,26331,30165, 7,30163,26219,30169, 7,30145,25793,30173,
+26415,30175,25793,30172,26331,30179, 3,30090, 767,30183,26454,30091,
+18967,30186,26375,30091,18967,30190,28159,30091, 8684,30091, 8647,30091,
+26154,30091,26331,30201,26534,30091,26541,30205,26536,30091,26331,30209,
+26320,30091,26331,30213,19384,30091,20501,30217,19474,30091,20611,30091,
+ 9989,30091,20762,30090,20985,30227,27436,30091,20501,30231,27507,30231,
+27451,30231,27453,30231,26492,30091,26219,30240,26278,30091,26415,30244,
+26219,30091,26541,30248,26492,30248,26415,30248,18967,30254,18967,30248,
+26415,30258,27021,30091,18967,30263,20413,30265,18967,30262,20501,30269,
+21527,30091, 9,30273,21258,30091,21575,30091,20501,30279,20985,30091,
+20501,30090,27907,30285,27483,30285, 340,30091, 9,30091, 483,30091,
+26292,30091,26331,30297,18967,30299,18967,30296,26331,30303,20413,30091,
+20763,30307,25793,30309,26197,30091,26415,30312, 375,30091,24095,30091,
+18967,30319,20413,30321,18967,30318,20501,30325,24252,30091,20501,30329,
+ 15,30091, 1,30332,18967,30332, 11,30091,18967,30339,20413,30341,
+18967,30338,20501,30345, 1369,30339, 9565,30349,28741,30349,30129,30349,
+27979,30339,19631,30357,11949,30357, 4669,30357,26415,30091, 1,30365,
+26219,30367,26197,30364,26278,30364,26219,30364,18967,30374,18967,30364,
+26219,30378,18967,30365,26219,30383, 1369,30090,20029,30387,19781,30387,
+21103,30387,26541,30091,26219,30394, 6,30090,23646,30399,23642,30399,
+23606,30399,24349,30399,26086,30399,26062,30399,26068,30399,24583,30399,
+24591,30399,19384,30399,24265,30419,25793,30399,19631,30422,11949,30422,
+ 4669,30422,11949,30399,23493,30430,25793,30430, 4669,30399,23493,30436,
+25793,30436,19631,30399,23493,30442,25793,30442, 11,30399,18967,30448,
+24265,30451,18967,30399, 11,30454,24265,30457, 11,30455,23493,30461,
+25793,30461,23493,30399,11949,30466, 4669,30466,19631,30466, 7,30090,
+21549,30475,21105,30475,19625,30475, 6,30091,26524,30483,26545,30485,
+26524,30482,26541,30489, 7,30091,26525,30492,30455,30493,25793,30497,
+ 2,30493, 0,30500,30422,30503,25793,30503,30399,30506,30399,30503,
+25793,30510, 0,30493, 2,30514,30422,30517,25793,30517,30399,30520,
+30399,30517,25793,30524, 1,30492,26219,30529,18966,30493,30422,30533,
+25793,30533,30399,30536,30399,30533,25793,30540, 8495,30492,21183,30493,
+ 8495,30493,26524,30492,26331,30551,21037,30492,25793,30492,26331,30557,
+18967,30559,18967,30556,26331,30563, 265,30492, 265,30493,25793,30493,
+26541,30571,30495,30571,26492,30571,26415,30571,18967,30578,18967,30571,
+26415,30582,18967,30492,26219,30587,25793,30586,26331,30591,25793,30587,
+26415,30595,20763,30090,26142,30599,24849,30599,25793,30599,20413,30604,
+20413,30599,25793,30608,20762,30091,26219,30613,20885,30613,25793,30612,
+26331,30619,25793,30613,26415,30623,26524,30091,20501,30627, 6,30626,
+26541,30631, 7,30626,26331,30635, 6,30627,26537,30639,30635,30639,
+ 7,30627,30631,30645,26219,30645, 8495,30091, 7,30650,25793,30091,
+ 1,30655, 7,30656,26219,30659, 7,30657,26331,30663,20762,30654,
+26331,30667,20762,30655,26197,30671,26219,30671, 6,30655, 7,30655,
+26197,30679,26278,30679, 1,30678,26219,30685,26219,30679,18967,30688,
+18967,30678,26219,30693,18967,30679,26219,30696, 6,30654,30679,30701,
+ 7,30654,26331,30705,18967,30707,30677,30705,18967,30704,26331,30713,
+18967,30654,20501,30717, 6,30716, 7,30716,26331,30723, 6,30717,
+30723,30727, 7,30717,30721,30731,26219,30731,18967,30655,20413,30737,
+ 7,30736,26219,30741, 7,30737,26331,30745, 265,30091, 0,30748,
+ 6,30751,21605,30752,21605,30751, 6,30756, 6,30757, 7,30748,
+30755,30763,30759,30763, 7,30749,30761,30769,18967,30091,26454,30772,
+26375,30772,26292,30772,26331,30779, 11,30772,20501,30783, 15,30772,
+27021,30772,20501,30789,20501,30773,25793,30793,27021,30793,24095,30793,
+26415,30772,26219,30800,20187,30773,25793,30805,26219,30772,26415,30808,
+24095,30772,20501,30813, 6,30773,26604,30817,29645,30817,25793,30817,
+20103,30822,20103,30817,25793,30826, 7,30773,26331,30831,27805,30831,
+23755,30831,25793,30831, 6,30772,30831,30841, 7,30772,26219,30845,
+25793,30844,26331,30849,30817,30845,25793,30845,26415,30855,25793,30772,
+20501,30859, 6,30858, 7,30858,26331,30865, 6,30859,30865,30869,
+ 7,30859,30863,30873,26219,30873,20103,30773,26219,30879, 7,30879,
+25793,30883,21037,30091, 6,30887, 7,30887, 6,30886,30891,30893,
+ 7,30886,30889,30897,18967,30090,27530,30901,26142,30901,26009,30901,
+26270,30901,28571,30901,26454,30901,26375,30901,24210,30901,27459,30901,
+26219,30901,20273,30920,26415,30920,20413,30901,25793,30926,27021,30926,
+24095,30926,27021,30901,20413,30934,20985,30901,24095,30901,20413,30940,
+20352,30901,25793,30945,26292,30901,26331,30949, 7,30901,25793,30953,
+20273,30955,26415,30955,20273,30952,25793,30961,25793,30952,26331,30965,
+26415,30901,26219,30968,20273,30901,26219,30972, 7,30972,25793,30977,
+25793,30901,20413,30980, 7,30981,26219,30985, 7,30980,26331,30989,
+21314,21605,27530,30993,26142,30993,26270,30993,26009,30993,26454,30993,
+26375,30993,28571,30993,24795,30993,24799,30993,24210,30993,21850,30993,
+21845,30993,20413,31016,27459,30993,18967,30993, 6,31023,29645,31025,
+26219,30993,20273,31028,26415,31028,27021,30993,20413,31034,20413,30993,
+25793,31038,27021,31038,24095,31038,21845,31038,20985,30993,24095,30993,
+20413,31050,26292,30993,26331,31055,20352,30993,25793,31059, 7,30993,
+25793,31063,20273,31065,26415,31065,25793,31062,26331,31071,20273,31062,
+25793,31075,26415,30993,26219,31078,25793,30993,20413,31082, 7,31083,
+26219,31087, 7,31082,26331,31091,20273,30993,26219,31094, 7,31094,
+25793,31099, 6,21605,27347,31103,27401,31103,27378,31103,27327,31103,
+27380,31103,27329,31103,27263,31103,27377,31116,27285,31103,27059,31103,
+27377,31122,27194,31103,27203,31103,27215,31103,27208,31103,27228,31103,
+27233,31103,27188,31103,27187,31103,27184,31103,27183,31103,27294,31103,
+27275,31103,27305,31103,27280,31103,27481,31103,27470,31103,27341,31103,
+27394,31103,27122,31103,27390,31103,27337,31103,26796,31103,26802,31103,
+30939,31103,30229,31103,30616,31103,31049,31103,28681,31103,20843,31180,
+28686,31103,22287,31103,28661,31103,28649,31103,27502,31103,27513,31103,
+25030,31103,24983,31103,30283,31103,25683,31103,21058,31103,29835,31205,
+21195,31103,29835,31209,25629,31103,13894,31103,13919,31103,27498,31103,
+27509,31103,27930,31103,27895,31223,27857,31103, 4,31226,27895,31229,
+ 4,31227,27907,31233,27479,31103,27468,31103,27500,31103,27511,31103,
+26941,31103, 9457,31103,30118,31103,30185,31103,30123,31103,30105,31103,
+26742,31103, 9444,31103, 9435,31103, 713,31260,30751,31102,30763,31265,
+30221,31103,19397,31102,28777,31271, 3119,31103, 3027,31103, 3805,31103,
+ 4820,31103, 6469,31103, 3419,31103,27422,31103,27359,31103,27392,31103,
+27339,31103,27343,31103,27396,31103,27404,31103,27351,31103,27352,31103,
+27407,31103, 9539,31103,24554,31103,29659,31102,29645,31311,17294,31103,
+26843,31103,30335,31103,26845,31103,25689,31103,30337,31103,30787,31103,
+24552,31103,25157,31103,24881,31103,28387,31103,28386,31102,31335,31337,
+28387,31102,28386,31103,31341,31343,27287,31103,27323,31347,30127,31103,
+30117,31103, 803,31352, 3,31103, 0,31356,27277,31103,20273,31360,
+27377,31360,27461,31103,20273,31366,27483,31366,27377,31366,27205,31103,
+20273,31374,27377,31374,27218,31103,27316,31103,27398,31103,18967,31384,
+27345,31103,18967,31388, 413,31103,30292,31103,26986,31103,26982,31103,
+ 9287,31103,27224,31103,20273,31402,27323,31403,21276,31103,29835,31409,
+21496,31103,27021,31412,27021,31413,21277,31103,27021,31418,27021,31419,
+21183,31419, 6441,31103, 759,31427, 4403,31103,17075,31103,16329,31103,
+ 4919,31103,17099,31103, 9362,31103, 5309,31103, 4547,31103,27291,31103,
+20273,31446,27323,31447,26810,31103,26990,31103, 777,31103, 824,31103,
+ 244,31103, 4933,31103, 5297,31103,17077,31103,13019,31103,12705,31103,
+13673,31103,18391,31103,18617,31103,14597,31103,27210,31103,27323,31481,
+27472,31103,27323,31485,27300,31103,27323,31489,26317,31103,26476,31103,
+ 9134,31103, 1216,31103,19687,31103,26625,31500,19397,31103,29659,31505,
+29835,31505,22655,31505,23622,31103,27410,31103,22139,31103,22163,31103,
+24543,31103,24557,31103, 305,31103,21036,31102,26816,31527,25063,31527,
+31245,31527,21069,31527,21267,31527,21305,31527,24953,31527,21259,31527,
+20103,31543, 17,31527,20501,31527,26625,31548,26625,31527,20501,31552,
+26415,31103, 9,31556,26940,31103,29645,31103,29659,31563,27418,31103,
+27255,31566,27272,31103,27377,31570,27255,31103,27483,31574,27418,31574,
+27377,31574,18967,31580,18967,31574,27377,31584, 8446,31103, 155,31103,
+17049,31103, 1369,31593, 8861,31103,26625,31103,21127,31598,20843,31598,
+19687,31598, 8337,31598,20103,31598, 7971,31598, 9565,31598,18967,31598,
+ 9731,31103,27021,31616,30613,31103,20885,31620, 9617,31102,26973,31625,
+ 8337,31103,24545,31628,26625,31628, 9,31628, 4819,31103, 713,31636,
+13857,31103, 713,31640, 4543,31103,21372,31103,21315,31103,27190,31648,
+27483,31648,25027,31648,27021,31649,20273,31657,27377,31657,27021,31648,
+20273,31662,27323,31663,20273,31648,27021,31668,27021,31669, 11,31648,
+21037,31103,29835,31677,20103,31679,20763,31676,29835,31683,20103,31676,
+29835,31687, 713,31103,13857,31690, 9435,31690, 4819,31690, 803,31690,
+ 25,31103, 7971,31103,26625,31702,20884,31103,29659,31707,29835,31707,
+20984,31103,28659,31713,28625,31713,30227,31713,22285,31713,17233,31103,
+ 903,31722,30091,31103, 9,31726,20162,31103,20171,31103,25027,31103,
+21315,31734,27190,31103,21315,31738,21127,31103,26625,31742,20843,31103,
+26625,31746,28681,31746, 9565,31103,26625,31752, 8997,31103, 9,31756,
+ 766,31103, 9455,31761,30121,31761, 3803,31761, 759,31761, 9,31103,
+27021,31770,30091,31770, 9195,31770, 241,31770,26415,31770, 8997,31770,
+27377,31770,23493,31770, 8337,31770,20103,31770, 1011,31103, 903,31792,
+ 241,31103, 9,31796,27297,31103,27282,31103,27323,31803,18967,31805,
+18967,31802,27323,31809, 17,31803,20103,31103,24545,31814,26625,31814,
+21037,31814,29835,31821, 9,31814,21037,31815,25793,31827,20273,31103,
+27224,31830,27291,31830,27205,31830,27277,31830,27461,31830,21315,31830,
+27021,31842,27021,31843,27021,31830,21315,31848,27231,31103,27377,31852,
+ 803,31103,30117,31856, 713,31856,20885,31103,27021,31862,30613,31862,
+23493,31103, 9,31868,24545,31103,20103,31872, 8337,31872, 17,31873,
+ 11,31103,28715,31881,19631,31883,11949,31883, 4669,31883,21315,31880,
+ 8451,31103,27377,31103,27059,31894,27263,31894,27205,31894,27231,31894,
+27461,31894,27272,31894,27277,31894,27255,31894,18967,31910, 9,31894,
+18967,31894,27255,31916, 903,31103,17233,31920, 1011,31920, 257,31103,
+27483,31103,21315,31928,27461,31928,27255,31928, 4,31102,23646,31937,
+23642,31937,23606,31937,24349,31937,26086,31937,26062,31937,26068,31937,
+24583,31937,24591,31937,19384,31937,24265,31957,25793,31937,19631,31960,
+11949,31960, 4669,31960,11949,31937,23493,31968,25793,31968, 4669,31937,
+23493,31974,25793,31974,19631,31937,23493,31980,25793,31980, 11,31937,
+18967,31986,24265,31989,18967,31937, 11,31992,24265,31995, 11,31993,
+23493,31999,25793,31999,23493,31937,11949,32004, 4669,32004,19631,32004,
+ 5,31102,26940,32013,20413,32015,18967,32012,26816,32019,24953,32019,
+31245,32019, 17,32019,20501,32019,26625,32028,26625,32019,20501,32032,
+26625,32013,18967,32036,20413,32039,18967,32037,20501,32043,18967,32013,
+20413,32047,26625,32049,26625,32046,20413,32053, 4,31103,27857,32057,
+27879,32059,27857,32056,27895,32063,20763,32056,29835,32067,29659,32067,
+28715,32057,29083,32073,29091,32073,19631,32073,11949,32073, 4669,32073,
+29129,32073,18967,32073,29077,32087,18967,32056,23147,32091,24819,32091,
+28925,32091,28715,32091,20413,32099, 5,31103,27437,32102,19397,32103,
+21605,32103,20762,32108,20762,32109, 586,32108, 586,32109,31993,32103,
+25793,32119, 2,32103,21605,32123, 0,32122,31960,32127,25793,32127,
+31937,32130,31937,32127,25793,32134,32073,32127, 0,32103,21605,32141,
+ 2,32140,31960,32145,25793,32145,31937,32148,31937,32145,25793,32152,
+32073,32145, 586,32140, 586,32141,21605,32102,18966,32102,18966,32103,
+21605,32167, 7,32169, 9,32167,31960,32167,25793,32167,31937,32176,
+31937,32167,25793,32180,32073,32167, 1,32103,32125,32187,31937,32189,
+ 3,32103,32143,32193,31937,32195,28573,32103,28625,32103,20843,32201,
+ 9195,32103,20501,32103,21183,32103,27436,32102,27323,32211, 9377,32103,
+ 713,32215, 9875,32103,19396,32103,32165,32221, 9,32103,18967,32224,
+32165,32227,18967,32225,32167,32231,20763,32102,22285,32235,28659,32235,
+28625,32235,32111,32235,30227,32235,30772,32103,20501,32247,27021,32102,
+27323,32251,18967,32253,18967,32250,27323,32257, 17,32251, 1369,32103,
+ 903,32103, 9,32265, 587,32102, 9455,32269,32159,32269,32115,32269,
+ 3803,32269,30121,32269, 759,32269,25673,32103,20501,32283,20763,32103,
+32113,32287,27021,32287,30613,32287, 587,32103,32161,32295,32117,32295,
+30117,32295, 713,32295,27021,32103,27483,32305,32105,32305,27418,32305,
+27377,32305,18967,32312,18967,32305,27377,32316,31992,32103,32163,32321,
+18967,32103,32163,32325,31937,32327,32165,32325, 9,32331, 9,32324,
+32165,32335,30091,32324,20501,32339,31937,32324,32163,32343,31937,32103,
+18967,32346,32163,32349,30091,32103, 9,32353,18967,32352,20501,32357,
+18967,32353,20413,32361,18967,32102,24953,32365,32171,32365,32107,32365,
+32172,32365,32167,32365, 9,32374, 9,32365,32167,32378,27021,32364,
+27323,32383,27021,32365,27377,32387,21037,31102,26604,32391,31561,32391,
+31615,32391,29645,32391,25793,32391,20103,32400,20103,32391,25793,32404,
+21314,31103,23147,32409,24819,32409,28925,32409,28715,32409,20413,32417,
+21036,31103,25673,32421,20501,32423,25087,32421,25691,32421,22357,32421,
+24953,32421,21049,32421,21242,32421,21183,32421,20103,32438,27021,32420,
+27323,32443,20103,32421,21183,32446,27021,32421,27377,32451,27436,31103,
+ 5,32454,27323,32457, 5,32455,27255,32461, 9195,31103, 9,32464,
+27021,31103,21496,32468,21277,32468,20885,32468, 9,32468, 9731,32468,
+21037,32468,21315,32468,20273,32482,27323,32483,21037,32469,21315,32469,
+27205,32491,21036,32468,27323,32495,32489,32495,21036,32469,27231,32501,
+32481,32501,20273,32468,21315,32506, 4,32469, 5,32469,27231,32513,
+27272,32513,27255,32513,18967,32518,18967,32513,27255,32522, 9,32513,
+ 4,32468,32513,32529, 5,32468,27323,32533,18967,32535,32511,32533,
+18967,32532,27323,32541, 17,32533,18967,32468, 5,32546,27323,32549,
+ 5,32547,27255,32553, 587,31103,30091,32557, 803,32559, 5,32556,
+ 9455,32563, 3803,32563,30121,32563, 759,32563, 5,32557, 9435,32573,
+ 803,32573,18967,31103,32391,32579,26625,32581,27398,32578,27345,32578,
+21605,32578, 7,32589, 4,32591, 4,32590, 4,32589, 7,32596,
+ 16,32589,27282,32578,27323,32603,26625,32578,32391,32607,27377,32578,
+27255,32610,20483,32579,25793,32615,27255,32578,27377,32618,21183,32579,
+26625,32623, 4,32579,26142,32627,24849,32627,21605,32627, 7,32633,
+25793,32627,20413,32636,20413,32627,25793,32640, 5,32579,32593,32645,
+ 4,32578,24819,32649,23147,32649,28925,32649,28715,32649,20413,32657,
+ 5,32578,24953,32661,32595,32661,32599,32661,32635,32661,32601,32661,
+27021,32660,27323,32673,27021,32661,27377,32677,27021,32578, 5,32680,
+27323,32683, 5,32681,27255,32687,20763,31103,18967,32691, 5,32692,
+ 5,32693,21037,32690,29835,32699,29659,32691,29835,32691,21036,32691,
+21037,32691,25793,32709,30091,32691,20885,32713, 4,32691,32697,32717,
+ 5,32691,18967,32720,28681,32721, 4,32690,32723,32727,32695,32727,
+29659,32727,29835,32727,32707,32727, 5,32690,28625,32739,22285,32739,
+28659,32739,30227,32739,32709,32739,18967,31102, 5,32750,26816,32753,
+24953,32753,31245,32753, 17,32753,26625,32753,20501,32762,20501,32753,
+26625,32766, 5,32751, 9,32771,30091,32771,20501,32775,21526,21605,
+ 5,32778,26816,32781,24953,32781, 17,32781,26625,32781,20501,32788,
+20501,32781,26625,32792, 5,32779, 9,32797,30091,32797,20501,32801,
+18967,21605,20355,32804,20354,32804,26415,32805,26219,32810,26454,32805,
+26375,32805,21127,32805,21183,32818,21248,32805,21273,32805,20986,32805,
+20987,32805,28109,32804,28108,32805,32831,32833,31676,32805,31527,32837,
+28109,32805,28108,32804,32841,32843,20352,32805, 4,32847,22729,32849,
+22731,32847,32809,32847,20486,32805,26292,32805,26331,32859,19622,32804,
+19623,32805,32863,32865,19623,32804,19622,32805,32869,32871, 386,32805,
+ 347,32805,21396,32804,21397,32805,32879,32881,21546,32804,21547,32805,
+32885,32887,21397,32804,21396,32805,32891,32893,21547,32804,21546,32805,
+32897,32899,20477,32805,27673,32805,20476,32805,27672,32805,21127,32804,
+21087,32911,29031,32804,31881,32805,21543,32805,21087,32805,21127,32921,
+31880,32805,21542,32805,26219,32805,26415,32928,27283,32805,31103,32933,
+20353,32805,32807,32937,20487,32805,21403,32804,21402,32805,32943,32945,
+21573,32804,21572,32805,32949,32951,21403,32805,21402,32804,32955,32957,
+21573,32805,21572,32804,32961,32963,20985,32804,32829,32967,21401,32804,
+32056,32805,29450,32805,29041,32975,28791,32975,29731,32975,29659,32975,
+20984,32805,21400,32805,32971,32987,32103,32805, 7,32990,32365,32993,
+32057,32805,29451,32805,32915,32999,20984,32804,32827,33003,20985,32805,
+31103,33007, 7,33006,33003,33011,21400,32804,21401,32805,33015,33017,
+21183,32805,21127,33020,20413,32805, 4,33025, 4,33024, 11,33024,
+27533,32805, 17,33032,20273,32805, 7,33037, 7,33036, 15,33037,
+25793,32805, 7,33045,26219,33047, 7,33044,26331,33051,21527,32805,
+ 17,33054,31103,32805, 4,33059,21037,33059,32421,33063,21037,33058,
+31527,33067, 4,33058, 11,33058,21037,32805,31103,33075,32391,33077,
+31103,33074,31527,33081,28715,32805,29031,33085, 7,33085,29759,33089,
+21527,33085,29229,33093, 7,33084,29041,33097,29731,33097,29659,33097,
+28791,33097, 15,33085, 580,32805, 1170,32805, 256,32805, 629,32805,
+ 1413,32805, 922,32805, 581,32805, 1171,32805, 767,32805,31103,33125,
+ 375,32805, 305,33128, 510,32805, 18,32804, 12,32804,23493,33137,
+ 1291,32805, 525,32805, 13,32805,22807,33145,33137,33145, 19,32805,
+33135,33151, 18,32805, 13,32804, 12,32805,33157,33159, 19,32804,
+33155,33163, 16,32805,32421,33167,25743,33167,32365,33167,32661,33167,
+27533,33167,21037,33167,31103,33179, 10,32805,19333,33183,33137,33183,
+31648,33183,19455,33183,24237,33183,22896,33183,19393,33183,19385,33183,
+ 9,33199,22807,33183, 9,33202,20413,33183, 9,33183,22807,33208,
+21315,33183,31103,33212,31103,33183,21315,33216, 14,32804,32847,33221,
+33041,33221,24953,33221,32975,33221,33097,33221,26816,33221,33167,33221,
+33111,33221, 17,33221,20501,33221,26625,33240,26625,33221,20501,33244,
+ 10,32804,22149,33249,19441,33249,24213,33249,24059,33249,19656,33249,
+ 9,33249,19631,33260,19631,33249, 9,33264,23983,33249, 9,33269,
+ 524,32805, 1290,32805, 11,32804,21087,33277,20326,33277,33183,33277,
+ 9,33283, 9,33276,23493,33287,33183,33287,23493,33277, 9,33293,
+20273,33277, 9,33296, 9,33277,20273,33300, 9,32804, 11,33304,
+23493,33307,33183,33307, 11,33305,24265,33313,33249,33313, 15,32804,
+32937,33319,32999,33319,26142,33319,33123,33319,20413,33319,25793,33328,
+20273,33319,25793,33319,20413,33334, 11,32805,24567,33339,33157,33339,
+24428,33339,20413,33338,31103,33338,33260,33339,33249,33339, 9,33352,
+24265,33339, 9,33356, 9,33339,24265,33360,33249,33360, 483,33338,
+ 9,32805,30090,33368,30090,33369,30091,33368,33373,33375, 483,33368,
+ 11,33369,20273,33381,30091,33369,33371,33385,20501,33385, 17,32805,
+19474,33390,19475,33391,33393,33395,21314,33390,19474,33391,19475,33390,
+33401,33403,21314,33391,21315,33390,33407,33409,27533,33390,21527,33390,
+33319,33391, 1275,33390,21315,33391,33399,33421, 305,32805, 375,33424,
+ 1011,32805, 7,33428,33221,33431, 15,33429, 7,33429, 241,32805,
+ 7,33438, 483,32805, 4,33442, 903,33442, 9,33442, 4,33443,
+ 11,33442, 903,32805, 9,33455, 483,33454, 1275,32805, 17,33460,
+ 7,32805,20985,33464,33003,33467,20985,33465,32985,33471,25672,33465,
+30772,33465,25673,33465,30773,33465,21036,33465,30090,33465,20273,33464,
+33221,33487,25793,33464,26331,33491,28715,33464,29731,33495,29659,33495,
+28791,33495,29041,33495,33221,33495,18967,33465, 5,33506,30091,33506,
+ 5,33507,33485,33513, 17,33507,21605,33465, 4,33518,33513,33521,
+21037,33518, 4,33519,33509,33527,33483,33527, 11,33519,25793,33465,
+26415,33535, 1011,33464,33221,33539, 241,33464, 8495,33465,32103,33465,
+20273,33547,32165,33547,21037,33465,21604,33553,21605,33552,33555,33557,
+21605,33553,21604,33552,33561,33563,28715,33465,20273,33567,29533,33567,
+30091,33465,18967,33572,33221,33465,20273,33577,23927,33465,20273,33581,
+29031,33465,20273,33585,32013,33465,20273,33589, 15,33465,29835,33465,
+29659,33465,29077,33597,32102,33465, 4,33465,24687,33603,25773,33603,
+21605,33602,33513,33609,31830,33603,32645,33603,29485,33603,22729,33603,
+31103,33603,20273,33620,20273,33603,31103,33624, 5,33465,18967,33628,
+33527,33631,31103,33628,20103,33629,31103,33637, 5,33464,33519,33641,
+ 7,33641,21605,33645,33603,33647,33620,33641,33547,33641,33557,33641,
+33475,33641,33525,33641,33481,33641,31648,33641,20413,33641,33603,33641,
+31103,33666,21315,33641,31103,33670,31103,33641,33603,33674,21315,33674,
+ 4,33464,33507,33681,25743,33681,33601,33681,32365,33681,32661,33681,
+33635,33681,33575,33681,33477,33681,33511,33681,33479,33681,32421,33681,
+33221,33681,27533,33681,33629,33681,31103,33709,21037,33681,31103,33713,
+31103,33465, 5,33716,33681,33719, 5,33717,33603,33723, 6,32804,
+33624,33727,33713,33727,33085,33727,29229,33733,33179,33727,21036,33727,
+33681,33739,33167,33739,28714,33727,33567,33745,18967,33727, 5,33749,
+33603,33751, 5,33748,33681,33755,33167,33755,20273,33727,33603,33760,
+33603,33727,20273,33764,29451,33727, 17,33727, 5,33726,26816,33773,
+33681,33773,24953,33773,33487,33773,33041,33773,33495,33773,33097,33773,
+32847,33773,32975,33773,33167,33773,33111,33773,33539,33773,33431,33773,
+ 17,33773,33465,33773,20273,33803,26625,33773,20501,33806,20501,33773,
+26625,33810, 5,33727,33603,33815,18967,33814,33681,33819,33167,33819,
+ 9,33815,33465,33815,20273,33827,30091,33815,20501,33831,33465,33727,
+18967,33834, 4,33837, 4,33836,21315,33834,21314,33834, 4,33835,
+33843,33847, 5,33835,33841,33851,33845,33851, 4,33834,18967,33856,
+33851,33859,33851,33857, 5,33834,33839,33865,33847,33865, 5,32805,
+27953,33871,27743,33871,27555,33871, 2,33870, 0,33870, 3,33870,
+ 1,33870,33609,33871,33521,33871,30285,33871,33485,33871,32717,33871,
+25101,33871,33027,33871,33061,33871,23193,33871,33593,33871,33451,33871,
+20413,33871,20885,33871,33603,33871,27533,33913,23015,33871,20501,33917,
+27741,33871,20501,33921, 9,33871,30492,33871, 6,33871,33879,33929,
+33881,33929,20273,33929, 7,33871,33883,33937,33885,33937,25793,33937,
+32805,33936, 4,33945,21605,33937,33947,33949, 5,33949,33945,33953,
+33603,33949,30091,33936,21527,33937,27533,33937,21315,33963, 7,33870,
+31648,33967,20413,33967,31103,33967,21315,33972,21315,33967,31103,33976,
+21315,33871,21605,33981,33929,33983,30091,33871,20501,33987, 6,33986,
+ 7,33986, 6,33987,33993,33995, 7,33987,33991,33999, 4,32804,
+27530,34003,26142,34003,26270,34003,26009,34003,33879,34003,33929,34012,
+33881,34003,33929,34016,33930,34003,33932,34003,33939,34003,33941,34003,
+33506,34003,33681,34029,33683,34003,33934,34003,33943,34003,26454,34003,
+26375,34003,33769,34003,32937,34003,32999,34003,33664,34003,32941,34003,
+33908,34003,32997,34003,28571,34003,33970,34003,33961,34003,18967,34003,
+33465,34062,33681,34065,33465,34063,33641,34069,33206,34003,33123,34003,
+33121,34003,24210,34003,33413,34003,33415,34003,32903,34003,32909,34003,
+33771,34003,32917,34003,32927,34003,33275,34003,33143,34003,27459,34003,
+33419,34003,33463,34003,33035,34003,33057,34003,33517,34003,26219,34003,
+20273,34110,26415,34110,24265,34003,28233,34003,29077,34003,33183,34003,
+20413,34122,33641,34003,20413,34126,33967,34003,20413,34130,33391,34003,
+27533,34135,20413,34003,25793,34138,27021,34138,33641,34138,33871,34138,
+33967,34138,33183,34138,24095,34138,27021,34003,20413,34154,33929,34003,
+33879,34158,33881,34158,20273,34158,20985,34003,31103,34167, 11,34003,
+21605,34171,33465,34003,18967,34174,33681,34177,24095,34003,20413,34180,
+26292,34003,26331,34185,20352,34003,25793,34189,33936,34003,33883,34193,
+33885,34193,25793,34193, 7,34003,25793,34201,20273,34203,26415,34203,
+33871,34201,33879,34209,33881,34209,20273,34209,25793,34200,26331,34217,
+20273,34200,25793,34221,33871,34200,33883,34225,33885,34225,25793,34225,
+26415,34003,26219,34232,20273,34003,26219,34236,33929,34236, 7,34236,
+25793,34243,25793,34003,20413,34246, 7,34247,26219,34251, 7,34246,
+26331,34255,33871,34003,18967,34258, 6,34261, 6,34260,21605,34259,
+33929,34267,21527,34258,31103,34259,21526,34258,20413,34258, 6,34259,
+34271,34279, 7,34259,34265,34283,34275,34283, 6,34258,34267,34289,
+18967,34288,34283,34293,34283,34289, 7,34258,33883,34299,33885,34299,
+34263,34299,34279,34299,25793,34299, 4,32805, 2,34311, 7,34313,
+27669,34311,23357,34311,32468,34311,28483,34311,27978,34311,31746,34311,
+31742,34311,31500,34311,20413,34310,23014,34311,31103,34310,21605,34311,
+ 7,34338, 7,34339,33773,34343,33221,34343, 15,34338,27021,34311,
+31103,34350,28411,34311,33629,34311,20413,34357, 483,34310,31103,34311,
+27021,34362,20843,34362,21127,34362,19687,34362,19687,34311,31103,34372,
+20843,34311,31103,34376,21127,34311,31103,34380, 15,34311,21605,34384,
+ 375,34311,33727,34311, 9,34391, 7,34311,21605,34394,25793,34395,
+ 265,34395,31103,34395, 7,34310,33755,34405,33819,34405,33773,34405,
+33739,34405,25743,34405,32661,34405,32421,34405,32365,34405,33221,34405,
+27533,34405,21037,34405,33727,34427,31103,34427,21037,34311,33929,34433,
+26219,34433, 7,34433,25793,34439,28715,34311,20413,34443, 5,32804,
+27965,34447,27948,34447,26816,34447,27796,34447,26898,34447,20353,34447,
+29451,34447,32847,34447,33487,34447,33041,34447,32975,34447,33495,34447,
+33097,34447,34343,34447,34315,34447,33527,34447,33518,34447,33641,34481,
+33643,34447,24953,34447,20119,34447,33706,34447,34362,34447,32727,34447,
+25129,34447,34333,34447,33029,34447,34337,34447,33071,34447,32691,34447,
+34424,34447,34403,34447,32067,34447,31707,34447,26887,34447,32857,34447,
+32973,34447,21605,34447,33465,34522,33641,34525,33465,34523,33681,34529,
+33176,34447,33111,34447,33109,34447,31505,34447,23480,34447,33347,34447,
+33349,34447,32905,34447,32907,34447,32919,34447,32925,34447,33273,34447,
+33141,34447,25099,34447,33539,34447,34361,34447,33445,34447,33431,34447,
+33367,34447,33453,34447,33031,34447,33073,34447,33533,34447,20187,34447,
+19683,34447,20839,34447,21399,34447,33167,34447,27533,34586,33681,34447,
+27533,34590,34405,34447,27533,34594,28625,34447,28573,34447,33339,34447,
+20413,34603, 1171,34447,27787,34447,20501,34608,27533,34447,20501,34612,
+33681,34612,34405,34612,33167,34612,20501,34447,27787,34622,26889,34622,
+26625,34622,27533,34622,23457,34622,34395,34447, 17,34447,33465,34447,
+29077,34639,20273,34639,21605,34638,33641,34645,28233,34639,24265,34639,
+ 11,34639, 6,34446,26816,34655,34405,34655,33041,34655,33097,34655,
+34343,34655,33681,34655,32847,34655,33487,34655,32975,34655,33495,34655,
+24953,34655,33167,34655,33111,34655,33539,34655,33431,34655, 17,34655,
+33465,34655,20273,34689,20501,34655,26625,34692,26625,34655,20501,34696,
+ 7,34446,34635,34701,34579,34701,34311,34701,20103,34701,20186,34447,
+34655,34711,34394,34447,34655,34715,31103,34447,34311,34718, 6,34447,
+34706,34723,34395,34723,33039,34723,33089,34723,34397,34723,34341,34723,
+20273,34723,34708,34723,23175,34723,24941,34723,34325,34723,28133,34723,
+33437,34723,20103,34723,34701,34750,34701,34723,34311,34754,20103,34754,
+ 11,34723,34311,34723,34701,34762,20763,34723,26625,34767, 7,34447,
+21605,34771,34311,34773,34655,34771,34311,34777,20103,34777,20103,34770,
+34655,34783,34311,34770,34655,34787,23457,34447,20501,34790,26889,34447,
+20501,34794,20103,34447, 7,34799,34723,34801, 7,34798,34655,34805,
+26625,34447,20501,34808, 6,34809, 7,34809, 6,34808,34815,34817,
+ 7,34808,34813,34821,34311,34447,21605,34824,18967,34825, 6,34828,
+ 6,34829,31103,34824,21527,34825,21526,34825,20413,34825, 6,34825,
+18967,34842,34827,34843, 7,34825,34723,34849,25793,34849,34833,34849,
+ 6,34824,34849,34857,34837,34857, 7,34824,34655,34863,34845,34863,
+34831,34863,34843,34863,34839,34863, 6,32805,34236,34875,34120,34875,
+34433,34875,20962,34875,21001,34875,34118,34875,34355,34875,25648,34875,
+21314,34874,34891,34893,25649,34875,33087,34875,21314,34875,34116,34875,
+23017,34875,34335,34875,21937,34875,34170,34875,34173,34875,21959,34875,
+21315,34874,34897,34917,34385,34875,34387,34875,24875,34875,33332,34875,
+33435,34875,33043,34875,33107,34875,34349,34875,21605,34875,21315,34936,
+34893,34939,21315,34937,34901,34943,20273,34875,34003,34946,33319,34946,
+20885,34875,20843,34952,21315,34875,21605,34956,34893,34959,19475,34875,
+26625,34963,24265,34875,34003,34966,29077,34875,34003,34970,28233,34875,
+34003,34974,20843,34875,20885,34978, 11,34875,34003,34982,33319,34875,
+20273,34986,34003,34875,29077,34990,20273,34990,28233,34990,24265,34990,
+ 11,34990,30993,34875,30901,34875,20984,34875,20839,35007, 5,34875,
+20763,35011,20843,35013,20763,35010,20839,35017,20763,34875, 5,35020,
+20839,35023, 5,35021,20885,35027, 7,32804,34736,35031,34459,35031,
+34461,35031,29691,35031,29340,35031,28714,35031,33603,35043,21605,35031,
+ 5,35047,33681,35049,34405,35049,33167,35049, 5,35046,33603,35057,
+34607,35031,34637,35031,33924,35031,34447,35031, 11,35031,32103,35031,
+29835,35031,29659,35031,20273,35031,34723,35076,29229,35076,35011,35031,
+34723,35031,20273,35084, 567,35031,29229,35031,20273,35090, 9,35031,
+33871,35094,33871,35031, 9,35098, 4,35030, 5,35030,35083,35105,
+34875,35105,35010,35031,35103,35111, 4,35031,35108,35115, 7,35114,
+35049,35119,35105,35115,34875,35122,34875,35115,35105,35126, 483,35115,
+ 5,35031,21605,35132,33603,35135,35103,35133,34875,35139,34875,35132,
+35103,35143,34875,35031,18967,35147, 4,35148, 4,35149,21315,35147,
+21314,35147, 4,35147,18967,35158, 5,35147,35115,35163,35153,35163,
+ 4,35146,35163,35169,35155,35169, 5,35146,35103,35175,35161,35175,
+35151,35175,35159,35175,35157,35175, 0, 4,14087,35187,14103,35188,
+ 4983,35187, 5001,35192,14104,35187, 5002,35187,14088,35187,14091,35201,
+ 4984,35187, 4987,35205,14093,35187, 4989,35187,28758,35187,29229,35213,
+28741,35187, 2,35216,29229,35219,20501,35186,19463,35223,19317,35223,
+19301,35223,20009,35223, 53,35186,19463,35233,20009,35233,19317,35233,
+19053,35187, 989,35241, 1201,35187,18967,35245, 1203,35247,17673,35186,
+17685,35251,21405,35186,21489,35255,19513,35186,19463,35259,20009,35259,
+19317,35259,10157,35187, 17,35267,10159,35269,20343,35187,18967,35273,
+20345,35275, 1179,35187, 527,35186,19301,35281,19916,35186, 4,35285,
+ 7,35286, 7,35285, 4,35290, 16,35285,19069,35186,19301,35297,
+ 1290,35186, 0,35301, 2,35302, 2,35301, 0,35306,18966,35301,
+21530,35187,20501,35313, 1489,35187,16859,35187, 11,35318, 9875,35321,
+21529,35187, 11,35324,20501,35327, 147,35187,16860,35187, 9875,35333,
+ 987,35187, 8069,35187, 11,35338, 8067,35341, 8070,35187, 8067,35345,
+27519,35187,27525,35187,26322,35187,26566,35187,26102,35187,26276,35187,
+26105,35187,33464,35187,29600,35187,32295,35187,31856,35187,25636,35187,
+29229,35371, 9,35371,28555,35187,29229,35377, 9,35377,19301,35187,
+20501,35383, 527,35383,19069,35383, 4266,35187, 8056,35187, 8147,35187,
+20739,35187, 9997,35187, 8784,35187, 8622,35187, 8824,35187, 8702,35187,
+ 8697,35187, 8676,35187, 8635,35187,20828,35187,19772,35187,19890,35187,
+19774,35187,19894,35187,19382,35187,19458,35187,32557,35187, 803,35429,
+19463,35187,20501,35433, 53,35433,19513,35433,20009,35187, 53,35441,
+20501,35441,19513,35441,19317,35187,20501,35449, 53,35449,19513,35449,
+19914,35187,21066,35187,20575,35187,21312,35187,21270,35187, 694,35187,
+ 9377,35467,16920,35187, 9,35471,17621,35187, 9,35475, 4213,35187,
+ 375,35478, 8757,35187, 375,35482, 9530,35187, 9875,35487,16091,35487,
+20501,35487,19751,35187, 53,35495, 253,35495, 117,35495, 71,35495,
+ 1471,35495, 1397,35187, 9592,35187,16514,35187,19380,35187,13836,35187,
+20595,35187, 9911,35187, 9983,35187, 9905,35187,17566,35187,16816,35187,
+17910,35187,18880,35187,14103,35187,14087,35532, 5001,35187, 4983,35536,
+20597,35187,26219,35187, 241,35542, 587,35543, 8647,35187, 241,35548,
+ 587,35549,14073,35187, 586,35554,14091,35557, 586,35555,14103,35561,
+ 4971,35187, 586,35564, 4987,35567, 586,35565, 5001,35571, 1291,35187,
+35305,35575,35309,35575, 1871,35575, 1889,35575, 3,35575,19667,35575,
+12345,35575, 5123,35575,19067,35575,35311,35575,18967,35575, 1297,35597,
+35301,35597,19917,35187,35289,35603,35293,35603,19939,35603,19945,35603,
+ 6,35603,19947,35603,35295,35603, 17,35603,19931,35619,35285,35619,
+ 1108,35187, 11,35625,22806,35187, 9,35629, 524,35187, 3,35633,
+ 3477,35633, 2007,35633,19051,35633,19667,35633,12345,35633, 5123,35633,
+18967,35633, 555,35649, 713,35187, 1325,35187,17455,35655,10001,35187,
+ 1505,35659, 9513,35187, 11,35662, 9875,35665,16091,35665,20501,35665,
+19396,35187, 483,35672,17455,35187,13737,35676, 803,35187,31103,35680,
+31103,35187, 803,35684, 113,35187, 375,35187, 587,35691, 9195,35693,
+ 4213,35690, 7971,35690, 8757,35690, 587,35690, 9377,35703, 9565,35690,
+18967,35690,19892,35187, 9,35710, 510,35187,18967,35714, 587,35187,
+ 375,35718, 9377,35721, 9377,35719, 375,35725, 483,35187,19396,35728,
+ 587,35729, 11,35728, 5123,35735,12345,35735, 3477,35735, 2007,35735,
+19667,35735,19051,35735,18967,35735, 555,35749,18967,35728, 9,35752,
+ 9,35728,18967,35756, 1275,35187,16833,35760, 9,35763, 903,35761,
+ 9,35761,21575,35187,18967,35771,21577,35773,21581,35773,21585,35773,
+ 6685,35187, 7519,35187, 17,35783, 7521,35785, 7525,35785, 7529,35785,
+21258,35187, 241,35792,16722,35187,32103,35187, 9,35799,10310,35187,
+ 8684,35187, 241,35804, 331,35805,26292,35187, 241,35810, 482,35186,
+ 2,35815, 0,35816,35633,35819,35735,35819, 0,35815, 2,35824,
+35633,35827,35735,35827,35749,35815,35649,35815,18966,35815,35735,35837,
+35633,35837, 1368,35186,25793,35843, 8495,35843,23755,35843,10055,35843,
+ 4329,35843, 4311,35843,26331,35843,27805,35843, 3785,35843, 8717,35843,
+10351,35843, 586,35186,31761,35867,32563,35867,32269,35867, 7,35867,
+ 4,35874, 4,35867, 7,35878, 16,35867, 767,35867,31103,35885,
+ 482,35187, 587,35889, 1274,35187, 587,35186, 9262,35895, 375,35895,
+ 9195,35898, 7,35895, 265,35903, 9195,35905, 9195,35895, 375,35908,
+ 483,35895, 483,35186, 1369,35186,19463,35917,19301,35917,20009,35917,
+19317,35917, 1368,35187, 7,35927, 586,35187,14073,35930,14091,35933,
+ 4971,35930, 4987,35937,31856,35931,32295,35931, 7971,35931,14073,35931,
+14087,35947, 4971,35931, 4983,35951,31103,35931, 803,35954, 803,35931,
+31103,35958, 483,35931, 1531,35187,13737,35187, 1487,35966,17455,35966,
+16833,35187, 1196,35972, 1196,35973, 1197,35972,35977,35979, 1197,35973,
+35975,35983, 1275,35972, 9,35987, 767,35187,31103,35991, 1487,35187,
+13737,35994,16937,35187, 17,35999, 9377,36001,17573,36001,16947,36001,
+ 1347,35187,18967,36009, 555,36011, 251,36011, 1365,36011, 1351,36011,
+ 21,36011,20762,35187, 241,36022, 256,35187,25793,36026,25793,36027,
+ 8495,36026, 8495,36027,18967,36026,21037,36026, 972,35187, 9377,36041,
+ 629,35187,18967,36044, 340,35187, 9377,36049,27978,35187,28353,36053,
+30003,36053,29759,36053,34723,36053,21183,36053, 2,36053,28337,36065,
+28189,36065,28191,36053, 959,36053, 759,36053, 47,36053, 66,35187,
+ 89,35187, 7,36080, 973,35187,35895,36085,21527,35187,21605,36088,
+29229,36091, 9,36091, 145,35187, 165,35187, 305,35187, 25,35187,
+27533,35187, 1505,36105, 331,35187,17455,36109, 59,35187,17455,36113,
+29599,35187, 7,36116,26546,35187, 7,36120, 8812,35187, 7,36124,
+10291,35187, 3,36129, 3,36128, 9565,35187, 375,36134, 8495,35187,
+ 256,36138, 7,36139, 375,36143, 7,36138, 241,36146, 331,36147,
+ 241,36138, 7,36152, 7971,35187, 375,36156,25793,35187, 256,36160,
+ 7,36160, 241,36164, 241,36160, 7,36168,32805,35187, 7,36172,
+19888,35187, 7,36176,18967,35187, 256,36180, 629,36180, 510,36180,
+ 375,36180, 483,36180, 9,36190, 9,36180, 483,36194, 7,36180,
+ 241,36198, 7,36181,25793,36203, 8495,36203, 241,36180, 7,36208,
+ 241,35187,26292,36212,26219,36212, 8684,36212, 8647,36212,20762,36212,
+21258,36212, 7,36212,25793,36226,25793,36227, 8495,36226, 8495,36227,
+18967,36226,21037,36226,25793,36212, 7,36240, 8495,36212, 7,36244,
+18967,36212, 7,36248,21037,36212, 7,36252, 9,35187,19892,36256,
+ 1011,36256, 11,36261,18967,36256, 483,36264, 483,36256,18967,36268,
+ 903,35187, 7,36272, 9377,36275,19913,35187, 6,36279, 7,36279,
+ 6,36278,36283,36285, 7,36278,36281,36289, 15,35187,25381,36293,
+ 483,36293, 2,36293,28189,36299, 1011,35187,16710,36303,16711,36303,
+16710,36302,36307,36309, 0,36303, 6,36312,16711,36302,36305,36317,
+ 9,36302, 11,36321, 1275,36302,36315,36325, 11,36303, 9,36329,
+ 6,36302, 3,36332, 6,36303, 0,36336,36325,36339, 7,36303,
+25793,36343, 8495,36343,21605,35187,21037,36348,21105,36348,21527,36348,
+29229,36355, 9,36355,21549,36348,19625,36348,21526,36348, 5,36364,
+ 922,36349, 918,36349, 1505,36349, 1419,36349, 668,36349, 483,36349,
+ 903,36378, 587,36349, 9,36382, 9,36349, 903,36386, 11,36387,
+ 587,36386, 15,36348, 11,36348, 9,36397, 6,36348,21036,36400,
+ 5,36400,18967,36404,18967,36400, 5,36408, 7,36348,30003,36413,
+29759,36413,34723,36413,21183,36413, 959,36413, 47,36413, 759,36413,
+ 6,36349,36353,36429,36361,36429,36351,36429,36363,36429, 7,36349,
+36403,36439,31527,36439,22269,36439,28791,36439,22263,36439,32781,36439,
+36367,36439,21105,36439,21549,36439,29953,36439,29731,36439,34655,36439,
+33773,36439,29835,36439,29659,36439,34447,36439,32753,36439,32019,36439,
+29041,36439,23929,36439,22205,36439,19625,36439,33221,36439,36407,36439,
+36411,36439,18967,36348, 5,36490, 6,36493,36413,36495, 6,36492,
+36439,36499,36439,36493, 14,36490,36439,36505, 6,36491,36395,36509,
+ 6,36490, 5,36512,36439,36515, 903,36349, 7,36519, 9,36518,
+ 483,36518, 265,35187,17455,36527, 5843,36527, 483,36527, 587,36527,
+ 9,36527, 7,36526, 9377,36539, 7,36527, 11,35187, 8069,36544,
+ 8067,36547,16859,36544, 9875,36551,21529,36544,20501,36555,16091,36545,
+ 9513,36559, 7,36544, 2,36563, 7,36564,36545,36567, 1,36564,
+36569,36571, 1,36563, 2,36574, 0,36544, 2,36579, 0,36580,
+36545,36583, 6,36580,36585,36587, 6,36579, 2,36590, 482,36579,
+ 1368,36544, 2,36597, 1,36598, 1,36597, 2,36602,18966,36544,
+ 2,36607, 6,36608, 6,36607, 2,36612, 482,36607, 9513,36544,
+20501,36619, 9875,36619,16091,36619,20501,36545,21529,36627, 9513,36627,
+ 9875,36545,16859,36633, 9513,36633, 1369,36545, 1989,36639, 3587,36639,
+36601,36639,36605,36639, 5303,36639,36571,36639,36577,36639, 0,36639,
+ 4897,36639,17041,36639,18967,36545,20281,36661,20345,36661,36611,36661,
+36615,36661,36587,36661,36593,36661, 7,36661,20285,36661,36595,36661,
+36617,36661, 483,36661,20273,36683,36579,36683,36607,36683,21605,36544,
+ 9,36691, 483,36544,35819,36695,35827,36695, 3477,36695, 2007,36695,
+ 1,36695,36639,36705,36655,36695,19051,36695,19667,36695, 5123,36695,
+12345,36695,35837,36695,18967,36695, 555,36721,35815,36721, 3,36544,
+ 3,36545, 375,36729,21308,35187, 7,36732,16481,35187, 7,36736,
+21037,35187, 256,36740, 7,36740, 241,36744, 241,36740, 7,36748,
+16531,35187, 7,36752, 1011,36753, 7,36757,18797,35187, 7,36760,
+17827,35187, 7,36764,16783,35187, 7,36768, 2,35186,27138,36773,
+28047,36773,26454,36773, 8770,36773,26375,36773, 8729,36773, 8697,36773,
+ 8784,36773,28197,36773, 4266,36773, 9262,36773,28111,36773,27128,36773,
+28027,36773,28117,36773,28177,36773,31872,36773,28063,36773,31598,36773,
+24545,36773,31103,36812, 8684,36773, 8717,36817, 331,36817,26292,36773,
+26331,36823, 8647,36773, 8757,36826,26219,36773,27021,36830,26415,36830,
+26415,36773,26219,36836, 8757,36773, 8647,36840, 375,36840, 4213,36773,
+ 375,36846,28153,36773,26860,36773,28213,36773,35931,36773,28159,36773,
+31770,36773, 347,36773, 386,36773, 9750,36773,27978,36773,26331,36869,
+27805,36869, 1325,36869, 331,36869, 59,36869,23755,36869,25793,36869,
+ 265,36869, 340,36773, 331,36887,31103,36773,24545,36890,26625,36890,
+ 9,36890, 375,36773, 8757,36898, 4213,36898, 9195,36898,27021,36898,
+ 305,36898, 483,36773, 9195,36773, 375,36912,10001,36773, 9,36917,
+ 1325,36773, 1275,36773, 331,36773,27533,36773, 9,36927, 305,36773,
+ 375,36930,10291,36773, 483,36935,27021,36773,26219,36938, 375,36938,
+ 7,36773,25793,36944,26331,36947, 8495,36944, 8717,36951, 331,36951,
+25793,36945,26415,36957,27021,36957, 8495,36945, 8757,36963,26625,36944,
+ 9731,36944,21605,36945,24545,36971,26625,36971, 9,36971, 265,36945,
+ 8757,36979, 4213,36979,27021,36979, 9195,36979, 305,36979,21605,36944,
+26331,36991,27805,36991,23755,36991, 59,36991, 331,36991, 1325,36991,
+25793,36991, 265,36991, 265,36944, 331,37009, 8647,36945,26219,36945,
+ 59,36773, 7,36772,25793,37019, 8495,37019,23755,37019,10055,37019,
+ 4329,37019, 4311,37019, 3785,37019,27805,37019,10351,37019, 8717,37019,
+26331,37019, 9,36773,31103,37042, 15,36773,31103,37047, 9731,36773,
+ 7,37050,21605,36773, 15,37055,31103,37057, 6,37055, 5,37060,
+ 7,37055,26219,37065, 375,37065, 6,37054,37057,37071, 7,37054,
+26331,37075,37063,37075,27805,37075,23755,37075, 59,37075, 331,37075,
+ 1325,37075,25793,37075, 265,37075, 265,36773, 7,37095, 8495,37097,
+ 375,37097, 7,37094, 331,37103,26625,36773,31103,37106, 7,37106,
+ 8495,36773, 7,37112, 8717,37115, 331,37115, 9,37113, 483,37113,
+ 7,37113, 8647,37125, 375,37125,25793,36773, 7,37130,26331,37133,
+ 483,37131, 9,37131, 7,37131,26219,37141, 3,35186,20305,37145,
+ 9641,37145,20309,37145, 9645,37145, 4,37145, 7,37154,35603,37157,
+ 9719,37145, 16,37145,35603,37163,35619,37145,21081,37145,20323,37145,
+20387,37145, 9701,37145,35719,37145, 524,37145,20273,37179, 9617,37179,
+ 1291,37145, 9617,37185,20273,37185, 305,37145, 375,37190, 386,37145,
+ 347,37145, 767,37145,31103,37199, 483,37145, 11,37202, 9617,37205,
+20273,37205, 375,37145, 305,37210, 7,37145, 3,37215,18967,37217,
+35187,37219, 4,37214,35603,37223,37221,37223, 3,37214,35187,37229,
+ 11,37145, 483,37232, 9617,37235,20273,37235, 6,35186,19975,37241,
+ 0,37241, 2,37244,35575,37247,35633,37247,35735,37247,36695,37247,
+18966,37241,35735,37257,35633,37257,35575,37257,36695,37257,35749,37241,
+35649,37241,36721,37241,35597,37241,19365,37241,19221,37241,19917,37241,
+10107,37279, 587,37241, 3,37241, 2,37241, 6,37287, 17,37289,
+35187,37291, 0,37286,35575,37295,35633,37295,35735,37295,36695,37295,
+37293,37295, 6,37286,36544,37307,37295,37309, 11,37307,35187,37312,
+37295,37315,35187,37307, 11,37318,37295,37321, 7,35186, 4,37325,
+ 3,37326, 3,37327,35927,37331, 902,37325,25525,37325, 1325,37325,
+10001,37325, 903,37341, 1275,37325, 59,37325,25793,37325, 587,37349,
+ 8495,37325, 587,37353, 2,37325, 7,37356,37331,37359, 903,37357,
+10311,37357, 3,37325, 4,37366,27533,37325, 903,37371, 331,37325,
+ 2,37324,25793,37377, 8495,37377,23755,37377, 4329,37377,10055,37377,
+27805,37377, 3785,37377, 4311,37377,26331,37377, 8717,37377,10351,37377,
+21605,37325, 903,37401, 155,37401, 265,37325, 7,35187, 5045,37408,
+ 805,37409, 9195,37413, 4,37408,37279,37417,19916,37417,37241,37421,
+ 1275,37417,18967,37424,37241,37427,18967,37417, 1275,37430,37241,37433,
+26546,37408,32805,37408,29599,37408, 652,37409, 9195,37443, 8812,37408,
+19888,37408,19913,37408,21308,37408,16481,37408,37285,37409,16783,37408,
+17827,37408,18797,37408,26498,37409, 8796,37409, 8495,37408, 241,37468,
+ 331,37469,25793,37408, 241,37474,25793,37409, 241,37479, 587,37478,
+ 8495,37409, 241,37485, 587,37484,21037,37408, 241,37490, 88,37409,
+37411,37495,16531,37408, 587,37409, 265,37500, 9195,37503,26625,37501,
+25793,37501, 8495,37501,25793,37500, 8495,37500, 9731,37501, 265,37409,
+ 587,37518, 9195,37521, 4213,37519, 7971,37519, 8757,37519, 587,37519,
+ 9377,37531, 9565,37519, 89,37409, 5069,37537, 9195,37537,27021,37537,
+ 483,37409, 1275,37409, 9,37547,26503,37409, 8809,37409,18967,37408,
+ 241,37554, 241,37408,25793,37558,25793,37559, 8495,37558, 8495,37559,
+18967,37558,21037,37558, 903,37408, 9377,37573,21605,37408,30003,37577,
+29759,37577,34723,37577,21183,37577,37495,37577, 959,37577, 47,37577,
+ 759,37577, 265,37408, 9377,37595, 903,37409,31103,37598,31920,37409,
+31103,37409, 903,37604, 375,37409, 2,37408,37331,37611,37495,37611,
+ 3,37408,14072,37616, 4970,37616,14072,37617,14073,37616,37623,37625,
+ 4971,37616, 4970,37617,37629,37631, 7,37617, 4,37635, 1,37616,
+37537,37639, 9,37639,36773,37617,37537,37617, 7971,37617,14073,37617,
+37619,37651, 4971,37617,37621,37655, 483,37617, 9,37617, 2,37409,
+37369,37663,37329,37663,37637,37663, 7,37662,37617,37671,37335,37663,
+ 9362,37663,27218,37663,37642,37663,37639,37663, 9,37682,28189,37663,
+ 1,37663, 5,37688,37616,37690,37617,37691,37693,37695,37671,37694,
+37616,37691,37617,37690,37701,37703,37672,37691,37671,37691,37617,37708,
+ 5,37663, 1,37712,37616,37714,37617,37715,37717,37719,37671,37718,
+37616,37715,37617,37714,37725,37727,37672,37715,37671,37715,37617,37732,
+28337,37663,37660,37663,27021,37663, 9,37740, 9195,37663, 9,37744,
+ 9,37663,37639,37748,27021,37748, 9195,37748,37617,37748,37241,37663,
+37617,37663, 1,37760, 5,37762, 5,37760, 1,37766, 7,37761,
+37691,37771,37715,37771,37765,37771,37769,37771, 9,37760, 3,37409,
+37577,37783, 9,37785, 16,37783, 4,37783, 7,37790, 7,37783,
+ 4,37794,18967,37783,35187,37799,37789,37801,37793,37801,37797,37801,
+ 9,37782,37577,37809,37611,37809,37611,37783, 1,37815, 5,37816,
+ 5,37815, 1,37820, 7,37814,37819,37825,37823,37825, 9,37815,
+ 9,37409, 3,37832,37577,37835,37611,37835, 3,37833,37663,37841,
+ 3,35187,10104,37844,10105,37844, 0,37845, 5,37850, 4,37844,
+36773,37855,10104,37845,37849,37859,10105,37845,37847,37863,36945,37845,
+37855,37867,10291,37844,36944,37845, 265,37873,37663,37845, 7,37877,
+37691,37879,37715,37879, 1369,37845, 11,37885, 9617,37887,37853,37887,
+20273,37887, 11,37844, 6,37844, 7,37844,14072,37898, 4970,37898,
+14073,37898,14072,37899,37905,37907, 4971,37898, 4970,37899,37911,37913,
+35187,37899,36773,37899, 7971,37899,14073,37899,37901,37923, 4971,37899,
+37903,37927, 483,37899, 6,37845,37856,37933,37855,37933,36773,37936,
+ 1,37933, 5,37940,37898,37942,37899,37943,37945,37947,37898,37943,
+37899,37942,37951,37953, 5,37933, 1,37956,37898,37958,37899,37959,
+37961,37963,37898,37959,37899,37958,37967,37969,36773,37933,37855,37972,
+37899,37933, 7,37845, 265,37979,36773,37981,35187,37978, 2,37985,
+ 4,37979,37987,37989, 3,37989,37985,37993,37663,37989,36773,37978,
+ 265,37999,37897,37979,36773,37845, 4,38005,37933,38007, 7,38005,
+37943,38011,37959,38011,14073,38011, 4971,38011, 6,38004, 1,38021,
+ 5,38022,38011,38025, 5,38021, 1,38028,38011,38031,38007,38021,
+ 7,38004, 265,38037,18967,37845, 4,38041,37933,38043, 256,38041,
+ 7,38041, 241,38048, 241,38041, 7,38052, 2,35187,29229,38057,
+28741,38059,28741,38056,29229,38063, 0,38057, 0,38056,28714,38069,
+37185,38069, 1290,38069,37145,38075,37179,38069, 525,38069,37145,38081,
+37887,38069,37205,38069,37235,38069, 5,38069,21605,38090,21605,38069,
+ 5,38094, 1275,38069, 17,38098,37145,38101, 17,38069, 1275,38104,
+37145,38107, 1505,38057,17455,38057, 903,38112,17494,38057, 483,38057,
+37214,38057,14073,38121, 4971,38121,37783,38057, 587,38057,10373,38057,
+ 9,38057, 155,38057, 6,38056, 1,38137, 5,38138,38121,38141,
+ 5,38137, 1,38144,38121,38147,37145,38137, 587,38137, 7,38056,
+37331,38155, 6,38057, 5,38158,18966,38159, 0,38159, 2,38164,
+ 2,38159, 0,38168, 1369,38159, 17,38159,35187,38175,38163,38177,
+38167,38177,38171,38177, 7,38057,38141,38185,37145,38187,38147,38185,
+37145,38191,34447,38185,28715,38185,38069,38197,38071,38185,29659,38185,
+29835,38185,38093,38185,38097,38185, 4971,38185,37145,38211,14073,38185,
+37145,38215,37145,38184,38141,38219,38147,38219,14073,38219, 4971,38219,
+21605,38185, 903,38229,37145,38057, 4,38232, 6,38233, 1,38237,
+ 5,38238, 5,38237, 1,38242,38235,38237, 7,38233, 265,38249,
+ 7,38232,38241,38253,38245,38253,38141,38253,38147,38253,14073,38253,
+ 4971,38253, 903,38057,17455,38266, 6,35187, 4,38271, 1,38272,
+ 0,38270, 17,38277,37844,38278,37845,38279,38281,38283,37845,38278,
+37844,38279,38287,38289, 1369,38271, 2,38270, 587,38295, 3,38270,
+ 2,38271, 1275,38301, 1, 5,35962,38304,35963,38304,37760,38304,
+37771,38311,37976,38304,38002,38304,37761,38304,37977,38304,37815,38304,
+37825,38323,38003,38304,37930,38304,37658,38304,37931,38304,37659,38304,
+ 77,38304, 3095,38337, 1917,38337, 120,38304, 3013,38343, 1897,38343,
+ 79,38305, 3113,38349, 125,38305, 3023,38353,35929,38305,37885,38357,
+37916,38305,37885,38361,38021,38304,38011,38365,38237,38304,38253,38369,
+ 4597,38305, 6625,38373, 113,38304, 4696,38377, 9,38377, 4669,38380,
+ 4669,38377, 9,38384,37896,38304,37898,38304,37933,38391, 483,38391,
+37616,38304,37663,38397, 483,38397, 59,38304,23023,38403,25483,38403,
+22677,38403,27533,38304,23023,38411,22677,38411,22605,38411,25483,38411,
+37663,38304,37617,38420,37672,38421,37671,38421,37617,38426,37771,38421,
+37879,38421,37617,38421,38397,38435,37671,38434,37933,38304,37899,38440,
+38011,38441,37899,38441,38391,38447,37897,38304,38137,38304,38121,38453,
+38219,38453,38185,38453,37145,38459,38253,38453,37617,38304,37663,38464,
+ 483,38464,37899,38304,37933,38470, 483,38470, 979,38305,21605,38477,
+ 987,38479,21879,38305, 1205,38483,29229,38304,29375,38487,17105,38304,
+17117,38491,23755,38304,23023,38495,22677,38495,25483,38495,26863,38305,
+21605,38503,26865,38505,10091,38305, 15,38509,10093,38511, 1009,38305,
+ 675,38304,22605,38517, 1418,38304, 1,38521, 3,38522, 3,38521,
+ 1,38526,21604,38521,21895,38304,22605,38533,25380,38304, 5,38537,
+ 6,38538, 6,38537, 5,38542, 14,38537, 1365,38305,17573,38305,
+ 9,38550,10001,38553,27996,38305,27533,38557, 1203,38305,17574,38305,
+10001,38563, 177,38305,27995,38305, 9,38568,27533,38571, 7963,38305,
+ 9,38574, 7961,38577, 7964,38305, 7961,38581, 120,38305, 77,38305,
+37758,38305,37972,38305,37457,38305,37867,38305,35912,38305,35733,38305,
+35732,38305,35913,38305,22605,38305,27533,38605, 675,38605,21895,38605,
+36856,38305, 483,38613,37644,38305, 483,38617,37918,38305,37933,38621,
+ 483,38621,37177,38305, 483,38627, 4798,38305,15896,38305,23023,38305,
+ 59,38635,27533,38635,23755,38635,22677,38305,27533,38643, 59,38643,
+23755,38643,25483,38305, 59,38651,27533,38651,23755,38651,25368,38305,
+30290,38305,27127,38305,30762,38305,30566,38305, 843,38304,35187,38669,
+ 1531,38304, 842,38304, 1530,38304,35930,38305,38675,38679,38307,38679,
+ 9492,38305,10001,38685,13755,38685,27533,38685,24597,38305, 59,38693,
+ 331,38693, 97,38693, 141,38693, 1325,38693, 629,38305,37896,38305,
+37610,38305,37783,38709,37616,38305,38467,38713,38423,38713,38311,38713,
+38331,38713,38469,38713,38465,38713,37663,38725, 483,38725,37898,38305,
+38473,38731,38443,38731,38315,38731,38329,38731,38475,38731,38471,38731,
+37933,38743, 483,38743,37866,38305,37456,38305,17508,38305, 9257,38305,
+27149,38305, 9353,38305, 9253,38305,38253,38305,38137,38763,38237,38763,
+ 483,38763,38219,38305,38137,38771, 483,38771,38121,38305,38137,38777,
+ 483,38777,15897,38305, 4799,38305,27161,38305,20187,38305, 483,38789,
+ 8387,38305, 483,38793, 9541,38305,15879,38305, 483,38798, 4787,38305,
+ 483,38802,16125,38305, 3,38806, 2,38806, 842,38806, 843,38807,
+38813,38815, 842,38807, 843,38806,38819,38821, 2,38807,38809,38825,
+ 3,38807,38811,38829, 5121,38305, 3,38832, 2,38832, 842,38832,
+ 843,38833,38839,38841, 842,38833, 843,38832,38845,38847, 2,38833,
+38835,38851, 3,38833,38837,38855,35729,38305, 587,38859, 587,38858,
+19384,38305, 483,38865, 669,38305, 1011,38869, 1086,38305, 483,38873,
+ 1418,38305, 1011,38877,25381,38305,38541,38881,38545,38881,25423,38881,
+25429,38881, 7,38881,25431,38881,38547,38881, 15,38881,25415,38897,
+38537,38897, 1419,38305,38525,38903,38529,38903, 1801,38903, 1875,38903,
+ 2,38903,23983,38903,10603,38903, 4625,38903,21893,38903,38531,38903,
+21605,38903, 1421,38925,38521,38925, 1108,38305, 9565,38931, 246,38305,
+ 483,38935, 294,38305, 8495,38939,35931,38305,38669,38943,38309,38943,
+ 483,38943,36773,38942, 483,38951,19396,38305,35718,38305,37885,38957,
+37202,38957,37145,38957, 483,38962, 483,38957,37145,38966, 668,38305,
+ 2,38971, 3507,38971, 1971,38971,21783,38971,23983,38971,10603,38971,
+ 4625,38971,21605,38971, 713,38987,20060,38305, 483,38991, 713,38305,
+16833,38995,38011,38305,37933,38999,38021,38999, 483,38999,37285,38305,
+37409,39006,36945,38305,37845,39011,37845,39010, 483,39011,37215,38305,
+ 3,39019,38057,39019, 9377,38305, 9,39024,10001,39027,13755,39027,
+27533,39027, 1471,38305,16937,39035, 9875,38305, 1011,39039, 1347,39039,
+ 555,38305,20763,38305, 566,39046, 566,39047, 567,39046,39051,39053,
+ 567,39047,39049,39057, 257,38305, 483,39061, 973,38305, 4816,39065,
+ 4805,39065, 1011,39068,38057,39065, 1011,39065, 4805,39074, 628,38305,
+ 483,39079, 1406,38305, 587,38305,23584,39085,24355,39085,37782,39085,
+37408,39084,39091,39093,37783,39085,37408,39085,38670,39085, 3,39085,
+37409,39102,39093,39105,37409,39103,39099,39109,38669,39085,35187,39112,
+35728,39084,23493,39085,22807,39118,22807,39085,23493,39122,35729,39084,
+35728,39085,39127,39129,35729,39085,39117,39133,37409,39085, 3,39136,
+39093,39139, 483,39085,35187,39142,35187,39085,38669,39146, 483,39146,
+36773,39147, 483,39153, 1011,39084, 483,39157, 9,39084, 4625,39161,
+10603,39161, 3507,39161, 1971,39161,23983,39161,21783,39161,21605,39161,
+ 713,39175,18967,39084, 483,39179,35187,39084,37202,39183,37885,39183,
+37145,39183, 483,39188, 483,39183,37145,39192,37409,39084,39097,39197,
+ 11,39084, 483,39201, 1369,38305,35964,39204,35965,39205,39207,39209,
+35965,39204,35964,39205,39213,39215,35761,39205,38057,39205, 15,39204,
+ 1011,39223, 11,39205, 1011,39205, 11,39204, 1275,38305, 483,38305,
+35895,39234, 4787,39234,15879,39234,21405,38305, 1011,39243, 483,39243,
+ 7535,38305, 15,39249, 7537,39251, 7541,39251, 7545,39251,28337,38305,
+21605,39259,28351,39261,28355,39261,28359,39261, 6147,38305, 483,39269,
+15269,38305, 483,39273,17423,38305, 1011,39277, 483,39277, 4827,38305,
+ 483,39283, 4745,38305, 1011,39287, 483,39287,17232,38305,30492,38305,
+25793,39295, 265,39294, 4569,38305, 483,39301,14625,38305, 483,39305,
+ 7063,38305, 483,39309,37284,38305,37356,38305,17233,38305,30493,38305,
+ 483,39319,37973,38305,37759,38305,38002,38305,38327,39327,37760,38305,
+ 483,39331,37976,38305,38321,39335,37617,38305,38398,39339,38319,39339,
+38400,39339,38335,39339,37663,39339,38397,39348,37671,39349,38397,39339,
+37663,39354, 483,39354,36773,39338, 483,39361, 483,39339,38397,39364,
+37663,39338, 483,39369,37899,38305,38392,39373,38321,39373,38394,39373,
+38333,39373,35187,39372,37885,39383,37933,39373,38391,39386,38391,39373,
+37933,39390, 483,39390,36773,39372,37933,39397, 483,39397, 483,39373,
+38391,39402,38185,38305,38150,39407,38137,39407,37145,39410,37202,39407,
+37885,39407, 483,39407,37145,39418,37145,39407,38137,39422, 483,39422,
+37979,38305,38451,39429,37663,38305,37409,39432, 3,39435, 7,39433,
+39437,39439, 2,39439,39435,39443, 483,39433,37617,39447,37241,39432,
+37617,39432, 483,39453,37933,38305,36773,39456,37977,38305,38315,39461,
+37815,38305, 483,39465,38003,38305,38317,39469,38127,38305, 483,39473,
+ 482,38304, 5,39477, 6,39478, 6,39477, 5,39482, 14,39477,
+ 586,38304,39122,39489,39128,39489,39127,39489,38863,39489,38601,39489,
+38948,39489,38603,39489,39150,39489,39144,39489,38783,39489,38785,39489,
+ 3,39489, 1,39512,38971,39515,39161,39515, 1,39489, 3,39520,
+38971,39523,39161,39523,39175,39489,38987,39489,21604,39489,39161,39533,
+38971,39533,39146,39489, 483,39538,39142,39489,35187,39542,38943,39489,
+ 483,39546,35728,39489,39085,39550,22807,39489,39085,39554,26219,39489,
+ 8647,39489,19396,39489,39085,39489,22807,39564,35728,39564,35187,39564,
+ 483,39570, 483,39564,35187,39574,35895,39489, 9,39489,18967,39580,
+18967,39489, 9,39584,35187,39489,39142,39588,39085,39588, 483,39592,
+ 483,39588,39085,39596, 483,39489,38943,39600,39146,39600,39085,39600,
+35187,39606,35187,39600,39085,39610, 4787,39489,15879,39489, 1368,38304,
+ 3867,39619, 8277,39619, 3997,39619, 4067,39619, 9459,39619, 8953,39619,
+ 1274,38304,27979,39633,14625,39633, 4569,39633,16381,39633,13325,39633,
+26293,39633, 8685,39633,35843,39633, 1369,39633,19513,39633, 3863,39633,
+37019,39633, 9955,39633,37377,39633, 8401,39633,10273,39633,20697,39633,
+ 4137,39633,20219,39633, 4063,39633,35895,38305, 483,39674,35915,38305,
+ 3,39678, 2,39678, 842,39678, 843,39679,39685,39687, 842,39679,
+ 843,39678,39691,39693, 2,39679,39681,39697, 3,39679,39683,39701,
+ 482,38305,39616,39705,39614,39705,39578,39705,35718,39705,35895,39705,
+39489,39714,39489,39705,15879,39718, 4787,39718,35895,39718,15879,39705,
+39489,39726, 4787,39705,39489,39730,35187,39705, 587,39734, 587,39735,
+39489,39739, 587,39705,35187,39742, 1368,38305, 587,38304,39241,39749,
+39239,39749,39237,39749,38599,39749,38597,39749,38633,39749,38631,39749,
+39677,39749,38801,39749,38805,39749,38679,39749, 483,39771,39235,39749,
+15879,39775, 4787,39775,35895,39775, 483,39748,38679,39783, 483,38304,
+38121,39787,38219,39787,38253,39787,37899,39786,38731,39795,37617,39786,
+38713,39799,38011,39787,38185,39787,37145,39805,14625,39787, 4569,39787,
+19396,39787,35931,39787,39489,39815,15269,39787, 4827,39787, 587,39786,
+38679,39823,37899,39787,38391,39827,37617,39787,38397,39831,17423,39787,
+ 4745,39787, 9,39787,18967,39838,18967,39787, 9,39842, 587,39787,
+39588,39847,39489,39847,35187,39850,35187,39847,39489,39854,35187,39787,
+ 586,39858,39823,39861, 586,39859,39847,39865, 586,38305,39713,39869,
+38861,39869,39737,39869,39745,39869,38675,39869,35187,39879,39823,39869,
+35187,39883,39783,39869,35187,39887, 1108,39869, 295,39869,35927,39869,
+37611,39869,38155,39869,35719,39869,39705,39901,39749,39869,22807,39905,
+35728,39905,35187,39905, 483,39910, 483,39905,35187,39914,35187,39868,
+39823,39919,39783,39919,38675,39919,39749,39919, 483,39927, 1011,39869,
+ 9,39930, 9,39869, 1011,39934, 1369,38304, 1275,39938, 1275,38304,
+39429,39943,23023,39943,22605,39943,25483,39943,22677,39943, 1369,39942,
+ 803,38305,17455,39956,13737,39957,39705,39961, 1505,38305,21605,39965,
+ 713,39967, 305,39967, 1489,39967, 1509,39967, 25,39967,15705,38305,
+ 767,39979,39705,39981,17455,38305, 15,39985, 9513,39987,16859,39987,
+17469,39987, 803,39984, 154,38305, 165,39997, 374,38305, 11,40001,
+ 66,38305, 340,38305,30091,40006,27978,38305,39633,40011,23755,40011,
+27805,40011,26331,40011,25793,40011, 8495,40011, 511,38305, 11,40025,
+ 935,38305, 483,40029, 1109,38305, 11,40033, 295,38305, 256,38305,
+ 375,40039, 9805,40039,20762,38305, 1141,40045, 1447,40045, 33,40045,
+ 88,38305,11251,40053, 5177,40053, 136,38305,36727,40059,37895,40059,
+36079,40059, 144,38305, 113,40067, 341,38305, 113,40071,16937,40071,
+27979,38305,38411,40077, 483,40077,39943,40077, 9565,40077, 113,38305,
+ 4727,40087, 9,40089,37662,38305,37241,40093,37932,38305,36773,40097,
+37782,38305,37978,38305,39633,40103,38389,40103, 305,38305,16833,40109,
+ 25,38305,16833,40113,20501,38305, 1011,40117, 1347,40117, 253,38305,
+16937,40123, 53,38305,16937,40127, 251,38305, 21,38305,38004,38305,
+ 7,40135,37241,38305, 6,40138, 2,40141,35187,40142,35187,40141,
+ 2,40146, 2,40147,38056,40141,37663,40138, 3,40138,40145,40157,
+40149,40157,40153,40157, 3,40139,40151,40165,40093,40165,36773,38305,
+37933,40171,37899,40173,37933,40170,35931,40170, 483,40179,37617,40170,
+ 483,40183,37899,40170,37933,40187, 483,40187,37409,40170, 3,40193,
+ 483,40171,35931,40197,37617,40197,37899,40197, 6,40170,37844,40205,
+ 3,40205,35187,40208,35187,40205, 3,40212, 7,40171,40207,40217,
+40211,40217,40215,40217,40195,40217, 2,40217,40193,40227,37845,40217,
+40205,40231,37845,40170, 7,40235,37325,38305, 7,40238, 2,40241,
+ 2,40240, 7,40239,35187,40247, 3,40249, 3,40248, 3,40247,
+35187,40254, 3,40246,37844,40247, 1368,40238, 586,40239, 1369,40238,
+37845,40238,40259,40269,40265,40269, 587,40239, 2,40238, 7,40276,
+40251,40277, 3,40238,40243,40283,35187,40282,40275,40287, 3,40239,
+40279,40291,40245,40291,40269,40291, 7,40290,40269,40299,40263,40291,
+ 2,40239,40287,40305,40257,40305,40253,40305,40261,40305,40267,40305,
+10219,38305, 7,40316, 2,40318, 2,40319, 1368,40316, 1369,40316,
+ 2,40317,40327,40329, 3,40317,40321,40333,40325,40333, 2,40316,
+ 7,40338,40333,40341, 3,40316,40323,40345, 413,38305, 7,40349,
+ 375,40349, 1217,38305, 483,40355, 1216,38305, 7,40359, 412,38305,
+ 483,40363,36348,38305, 2,40366,36429,40369,38233,38305, 7,40373,
+25296,38305, 7,40377, 265,38305,27978,40381,30492,40380, 17,40380,
+ 8495,40387, 6,40380, 11,40391, 7,40380,30091,40394, 7,40381,
+27021,40399, 9195,40399,40391,40399,40001,40399,21605,40398, 6,40381,
+40395,40411,40007,40411, 17,40411,21605,40381, 7,40418, 17,40419,
+ 241,40380, 483,40425,21605,40380, 7,40429,30091,40380, 7,40432,
+ 11,38305,18967,40436, 483,40439, 587,40436, 483,40443, 1369,40436,
+ 483,40437, 587,40449, 3,40436, 3,40437, 9875,40455,20501,40455,
+ 1011,38305, 483,40461, 587,40463, 587,40460, 483,40467, 9,40460,
+ 9565,40471, 7,40461, 959,40475, 759,40475, 47,40475, 903,40460,
+ 7,40483, 15,38305, 1369,40486, 1011,40489, 241,40486, 483,40493,
+ 3,40486, 165,40497, 3,40487, 253,40501, 1471,40501, 53,40501,
+21605,38305,27533,40509, 15,40509,31103,40513, 1275,40509, 7,40508,
+23755,40519,39633,40519,27805,40519,26331,40519,25793,40519, 8495,40519,
+ 7,40509,26219,40533, 305,40533, 25,40533, 713,40533, 265,40509,
+31103,40543, 265,40508, 7,40547,25367,38305, 6,40551, 7,40551,
+ 6,40550,40555,40557, 7,40550,40553,40561, 17,38305,19917,40565,
+ 587,40565, 265,40564, 8495,40571, 265,40565, 8861,40575, 3,40564,
+ 113,40579, 3,40565,10109,40583,10108,40583,10108,40582,40585,40589,
+10109,40582,40587,40593, 1141,40583, 1447,40583, 33,40583, 903,38305,
+ 7,40603, 1141,40605, 1447,40605, 33,40605, 1011,40602, 7,40613,
+18967,38305, 1108,40617, 1072,40617, 165,40617, 1291,40617, 524,40617,
+ 9,40617, 1011,40628, 11,40616, 483,40633, 11,40617, 483,40636,
+ 483,40617, 11,40641, 1011,40640, 587,40641, 11,40640, 9,40616,
+ 587,40616, 483,40653, 7,40616, 1141,40657, 1447,40657, 33,40657,
+ 1011,40617,21183,40665, 7,40665, 483,40664, 9,40664, 241,38305,
+ 483,40675, 15,40674, 483,40679, 9,40675, 7,40674, 375,40685,
+ 9805,40685, 7,40675, 265,40691, 59,40691, 331,40691, 1325,40691,
+ 265,40674, 483,40701, 9,38305, 7963,40704, 7961,40707,27995,40704,
+27533,40711,17573,40704,10001,40715,13755,40705, 9377,40719, 1,40704,
+ 3,40723, 1,40724,40705,40727, 7,40724,40729,40731, 7,40723,
+ 3,40734, 586,40723, 6,40704, 3,40741, 6,40742,40705,40745,
+ 0,40742,40747,40749, 0,40741, 3,40752,21604,40704, 3,40757,
+ 7,40758, 7,40757, 3,40762, 586,40757, 1274,40704, 3,40769,
+ 0,40770, 0,40769, 3,40774, 9377,40704,27533,40779,10001,40779,
+13755,40779,10001,40705,17573,40787, 9377,40787,27533,40705,27995,40793,
+ 9377,40793,21605,40705,26715,40799,26865,40799,40761,40799,40765,40799,
+40731,40799,40737,40799, 6,40799,26719,40799,40739,40799,40767,40799,
+ 587,40799,26625,40821,40723,40821,40757,40821, 1275,40705, 1991,40829,
+ 3621,40829,40773,40829,40777,40829, 5299,40829,40749,40829,40755,40829,
+ 1,40829, 4907,40829,17711,40829, 1011,40704, 9565,40851, 587,40704,
+39515,40855,39523,40855, 3507,40855, 1971,40855, 0,40855,40829,40865,
+40845,40855,21783,40855,23983,40855, 4625,40855,10603,40855,39533,40855,
+21605,40855, 713,40881,39489,40881,18967,40704, 1011,40705,18967,40889,
+ 9617,40889, 2,40704,36727,40895,37895,40895,36079,40895, 3,40704,
+11251,40903, 5177,40903, 2,40705,36729,40909, 3,40705,11355,40913,
+30748,38305, 7,40916,17125,38305, 7,40920,30091,38305, 340,40924,
+ 7,40924,25793,40929, 265,40928, 1011,40925, 7,40935, 265,40925,
+ 7,40939, 265,40924, 7,40942,14315,38305,31103,40947, 375,40947,
+ 7,40947, 8495,40953,37845,38305,37897,40957, 1275,40957,36945,40956,
+ 6,40957, 7,40957, 6,40956,40967,40969,36773,40969, 7,40956,
+38389,40975,39633,40975,40965,40975,36773,40956, 7,40983,37409,38305,
+37285,40986, 113,40987, 2,40987,39313,40993,40157,40993, 3,40987,
+39439,40999,40217,40999, 2,40986,38305,41005, 7,41007,40999,41009,
+40165,41005,37241,41005, 3,40986, 3,38304,40375,41019,40237,41019,
+40985,41019,40137,41019,40963,41019,39015,41019,38749,41019,40098,41019,
+39323,41019,40972,41019,40989,41019,39009,41019,38751,41019,40094,41019,
+39325,41019,41014,41019,15567,41019,12971,41019,13355,41019,13541,41019,
+21049,41019,21242,41019,39127,41019,39714,41019,39739,41019,38603,41019,
+38601,41019,38863,41019,39726,41019,39730,41019,20956,41019,20773,41019,
+38783,41019,38785,41019,11970,41019,19441,41019,19656,41019, 4696,41019,
+ 5,41019, 6,41097,27169,41019,27168,41019,33465,41019,40011,41019,
+30492,41019,40519,41019,39295,41019,30493,41019,40929,41019, 357,41019,
+ 367,41019, 471,41019, 1249,41019, 628,41019,20057,41019, 4569,41019,
+14625,41019, 4545,41019,36203,41019,36343,41019,40953,41019,21183,41019,
+20103,41142,13325,41019, 8337,41147, 4549,41019, 9357,41019, 9356,41019,
+40966,41019,36026,41019,37558,41019,36226,41019,36944,41019, 8386,41019,
+20186,41019, 9083,41019, 9484,41019,36027,41019,37559,41019,36227,41019,
+36945,41019, 8387,41019,20187,41019,19513,41019,35843,41019,20219,41019,
+ 8401,41019,37019,41019,20697,41019, 4137,41019, 9955,41019, 3863,41019,
+ 4063,41019,37377,41019,10273,41019,21405,41019,20606,41019, 9984,41019,
+37215,41019,40969,41019,36773,41218,40975,41019,40097,41019,36773,41224,
+40103,41019,37979,41019,19396,41019,11131,41019,21059,41019, 9082,41019,
+28205,41019,25551,41019,24613,41019,20326,41019,21087,41019,39705,41019,
+35895,41250,15879,41250, 4787,41250,11949,41019, 9,41258, 4669,41019,
+ 9,41262,15879,41019,39705,41266, 4787,41019,39705,41270,20805,41019,
+37501,41019,19631,41019, 9,41278,35895,41019,39705,41282, 9704,41019,
+40387,41019,38939,41019,40033,41019,40571,41019,20804,41019, 341,41019,
+ 241,41299,27979,41019, 241,41303, 9377,41019, 11,41306, 256,41019,
+35187,41310, 257,41019,35187,41315,20763,41019, 11,41318, 4745,41019,
+17423,41019, 587,41019, 11,41326,37409,41326,37500,41019, 9875,41019,
+ 10,41334, 10,41335, 11,41334,41339,41341, 11,41335,41337,41345,
+ 1471,41019,37325,41019, 587,41351,37241,41019,40093,41354,41005,41354,
+37408,41019, 241,41360,41005,41019,37241,41364,40093,41019,37241,41368,
+20885,41019,20413,41372, 1369,41019,37409,41377,37409,41019, 241,41381,
+ 587,41380,40967,41019, 9195,41019, 11,41388,20413,41019,20885,41392,
+10219,41019, 587,41397,20501,41019, 10,41400, 10,41401, 11,41400,
+41405,41407, 11,41401,41403,41411, 253,41019, 6,41019,40373,41417,
+40135,41417,40235,41417,40983,41417,40967,41417,27021,41417,40533,41417,
+30091,41417, 4713,41417,16363,41417, 4863,41417,13119,41417,26415,41417,
+ 8757,41417,23493,41417,27377,41417, 4213,41417, 9195,41417,39489,41417,
+ 9335,41417, 4147,41417, 3933,41417, 8109,41417,36212,41417,36773,41417,
+20103,41417, 8337,41417,37145,41417, 8997,41417,40957,41417, 241,41417,
+35187,41478,18967,41417, 11,41483,35187,41417, 241,41486, 587,41487,
+ 587,41417, 8387,41417,20187,41417,14653,41417,36945,41417, 7,41019,
+30091,41502,26331,41503, 8717,41503,23755,41503,27805,41503, 3785,41503,
+40957,41502,36212,41502,39633,41503,10055,41503, 4329,41503, 4311,41503,
+10351,41503,36773,41502,20103,41502, 8337,41502, 8997,41502, 1275,41503,
+ 15,41503,18967,41541,35187,41502, 241,41544, 241,41502,35187,41548,
+27021,41019, 11,41552, 53,41019, 6,41018,41165,41559,41531,41559,
+41517,41559,41157,41559,40975,41559,40103,41559,41537,41559,41169,41559,
+41167,41559,41239,41559,41533,41559,41535,41559,40011,41559,27979,41559,
+40519,41559,41549,41559,41311,41559,16381,41559,13325,41559,26293,41559,
+ 8685,41559,41361,41559,41545,41559,41503,41559,36773,41607,40957,41607,
+ 8997,41607,20103,41607, 8337,41607, 241,41607,35187,41607, 1369,41559,
+ 4569,41559,35843,41559,19513,41559, 3863,41559, 9955,41559, 4063,41559,
+37377,41559,10273,41559,20697,41559, 4137,41559,37019,41559,20219,41559,
+ 8401,41559,14625,41559, 7,41018,41181,41653,41466,41653,41387,41653,
+41476,41653,41474,41653,41185,41653,41183,41653,41171,41653,41468,41653,
+41470,41653, 8997,41653,41417,41674,41315,41653,41478,41653,26219,41653,
+ 8647,41653,41381,41653,41486,41653,19396,41653,41417,41653,36773,41692,
+40957,41692, 8997,41692,20103,41692, 8337,41692, 241,41692,35187,41692,
+20103,41653,41417,41708, 8337,41653,41417,41712,36773,41653,41417,41716,
+ 483,41653, 9,41653,18967,41722, 241,41653, 1,41727,41417,41729,
+41417,41726,18967,41653, 9,41734,40957,41653,41417,41738,35187,41653,
+41417,41742, 11,41019,27021,41746, 587,41746, 9195,41746,20501,41746,
+ 9377,41746, 9875,41746,20763,41746, 9,41019, 4669,41762,11949,41762,
+19631,41762,18967,41762,20273,41762, 9617,41762, 17,41019,20762,41776,
+20762,41777,20763,41776,41781,41783,20763,41777,41779,41787,40957,41019,
+ 6,41790, 7,41790,41559,41795, 6,41791,41795,41799, 7,41791,
+41793,41803,41417,41803, 9617,41019, 9,41808,36212,41019, 7,41812,
+35187,41019, 256,41816, 7,41816, 241,41820,41559,41821, 7,41817,
+41417,41827, 241,41816, 7,41830, 241,41019, 1,41835, 7,41837,
+41559,41839, 7,41836,41417,41843,37408,41834, 7,41835, 1,41848,
+41417,41851,41417,41849, 7,41834,41559,41857,35187,41856,35187,41834,
+ 7,41862,18967,41019, 483,41867, 9,41866,30091,41019, 7,41872,
+14315,41019, 8997,41019, 7,41878,41559,41881, 7,41879,41417,41885,
+20273,41019, 9,41888, 8337,41019, 7,41892,41559,41895, 9,41893,
+ 483,41893, 7,41893,41417,41903,20103,41019,21183,41906, 7,41906,
+41559,41911, 9,41907, 483,41907, 7,41907,41417,41919,36773,41019,
+40097,41922,40969,41922, 7,41922,41559,41929, 9,41923, 483,41923,
+ 7,41923,41417,41937, 2,38304,38595,41941,40177,41941,39459,41941,
+38591,41941,38593,41941,40155,41941,39451,41941,38589,41941,39237,41941,
+39241,41941,39239,41941,38599,41941,38597,41941,38633,41941,38631,41941,
+26777,41941, 9741,41941,26781,41941, 9745,41941,39677,41941,38801,41941,
+38805,41941, 5,41941, 6,41986,38881,41989, 9771,41941, 14,41941,
+38881,41995,38897,41941,30349,41941,26857,41941,26933,41941, 9777,41941,
+40077,41941,31598,41941,35931,41941,37519,41941,35690,41941,40651,41941,
+38955,41941,40887,41941,39235,41941,35895,42025,15879,42025, 4787,42025,
+ 8982,41941, 668,41941,26625,42035, 9731,42035, 1419,41941, 9731,42041,
+26625,42041,40471,41941,38931,41941,40037,41941,40851,41941,37617,41941,
+37899,41941,39457,41941,36773,42059,39429,41941,27021,41941, 375,41941,
+35187,42066,31103,41941,26625,42070, 9195,41941, 483,41941,39433,41941,
+37241,42079, 587,41941, 1,42083,35187,42083, 9,42082, 9731,42089,
+26625,42089, 6,41941, 2,42095,21605,42097,38305,42099, 5,42094,
+38881,42103,42101,42103, 2,42094,38305,42109, 7,41940, 9459,42113,
+ 8953,42113, 3997,42113, 4067,42113, 8277,42113, 3867,42113, 9,41941,
+ 587,42126, 9731,42129,26625,42129, 17,41941, 8861,42134,26625,41941,
+31103,42138, 8861,41941, 7,42143, 17,42142,35187,41941, 375,42148,
+ 9731,41941, 7,38304,39023,42155,41231,42155,25445,42155, 1,42155,
+ 2,42162, 3,42162,38903,42167,38971,42167,39161,42167,40855,42167,
+18967,42167, 2,42163, 3,42163, 5,42155, 2,42182, 3,42182,
+ 2,42183,42187,42189, 3,42183,42185,42193,21604,42155,18967,42197,
+39161,42197,38971,42197,38903,42197,40855,42197,39175,42155,38987,42155,
+40881,42155,38925,42155,22779,42155,22243,42155,28063,42155,41303,42155,
+31598,42155,25299,42155, 357,42155, 367,42155, 471,42155, 1249,42155,
+35690,42155,37519,42155, 272,42155, 1476,42155, 280,42155, 949,42155,
+ 1517,42155,40387,42155,40571,42155,40033,42155,38939,42155,21087,42155,
+20326,42155, 9704,42155, 9304,42155,35931,42155,40998,42155, 253,42155,
+ 265,42270, 375,42155,35187,42274,31103,42155,26625,42278,25381,42155,
+10081,42283,41417,42155, 1369,42287,26625,42155,31103,42290, 9617,42155,
+ 9,42294, 53,42155, 265,42298,20273,42155, 9,42302,37899,42155,
+37617,42155, 1471,42155, 265,42310, 587,42155,35187,42315,38233,42155,
+38004,42155,36773,42155,37845,42322,38056,42155,39019,42327,37145,42327,
+37844,42155,40305,42333,37933,42155, 483,42155,37845,42155,36773,42340,
+40999,42155, 305,42155,21605,42347, 713,42155, 9195,42350,21605,42351,
+ 9195,42155, 713,42356, 2,42155, 1,42360, 8229,42361,40987,42361,
+35187,42361,36773,42369,35187,42360,39019,42373,37145,42373, 3,42155,
+42179,42379, 1,42379, 7,42379, 15,42385,38305,42387, 1,42378,
+38903,42391,38971,42391,39161,42391,40855,42391,18967,42391,42389,42391,
+ 7,42378,40704,42405,42391,42407, 9,42405,38305,42410,42391,42413,
+38305,42405, 9,42416,42391,42419,40987,42378, 1369,42379,35187,42378,
+40305,42427, 25,42155,21605,42431, 2,42154, 1,42435,42379,42436,
+42382,42435,42423,42435,42269,42435,42333,42435,42427,42435,42379,42435,
+ 1,42450,40987,42451,35187,42451, 3997,42435, 4067,42435, 9459,42435,
+ 8953,42435, 8277,42435, 3867,42435, 3,42154,42165,42471,42363,42471,
+42345,42471,42366,42471,26219,42471, 8647,42471,42341,42471,42368,42471,
+19396,42471,42361,42471, 1,42491,40987,42490,35187,42490,41417,42471,
+ 483,42471,18967,42471, 9,42502, 9,42471,18967,42506,40987,42471,
+42361,42510,35187,42471,42361,42514,32805,42155, 265,42155, 253,42520,
+ 1471,42520, 53,42520,40987,42155, 3,42528,42435,42531, 3,42529,
+42361,42535,35187,42155, 7,42539,38305,42541, 2,42543, 2,42542,
+ 2,42541,38305,42548, 2,42540, 1368,42539, 375,42538, 1369,42539,
+ 2,42538,39019,42561,38305,42560,42559,42565,37145,42561, 3,42538,
+40305,42571,42545,42571,42435,42571, 3,42539,40277,42579,39315,42579,
+ 7,42579,38305,42585,42561,42587,42551,42579,42547,42579,42561,42579,
+42361,42579, 2,42539, 7,42598,42571,42599,37845,42599, 9,42155,
+20273,42606, 9617,42606, 6,38304,40509,42613,31103,42615,21604,42613,
+40471,42613,40851,42613,40037,42613,38931,42613, 8982,42613,27979,42613,
+ 483,42631,41941,42631,40957,42613,37933,42637,41503,42613, 483,42641,
+ 8861,42613, 17,42644,17423,42613, 1011,42649, 4745,42613, 1011,42653,
+ 9875,42613, 1011,42657, 1471,42613,36773,42613, 483,42663,37844,42613,
+40305,42667,37979,42613,41941,42671, 1369,42613,38057,42675, 331,42613,
+ 17,42678, 1325,42613, 17,42682, 334,42613, 1328,42613, 8337,42613,
+ 483,42691,20103,42613, 483,42695, 53,42613, 393,42613, 1359,42613,
+ 3,42613, 483,42705,35187,42704,40305,42709,10257,42705,37357,42705,
+ 2,42613, 62,42613, 59,42613, 17,42720,20501,42613, 1011,42725,
+ 253,42613, 3,42612,40975,42731,40103,42731,27979,42731,40519,42731,
+40011,42731,16381,42731,13325,42731,26293,42731, 8685,42731,41503,42731,
+ 1369,42731, 4569,42731,35843,42731,19513,42731, 3863,42731, 9955,42731,
+20697,42731, 4137,42731,37019,42731, 8401,42731,20219,42731, 4063,42731,
+14625,42731,37377,42731,10273,42731,18967,42613, 165,42783, 241,42613,
+35187,42613, 3,42788,40305,42791, 3,42789,40277,42795,39315,42795,
+ 17,42613, 8861,42800, 331,42800, 1325,42800, 59,42800, 7,38305,
+25004,42810,25005,42810,25184,42810,25185,42810, 264,42811, 5,42811,
+ 0,42822, 3,42822, 1,42810, 4,42829,25004,42811,42815,42833,
+25184,42811,42819,42837,25005,42811,42813,42841,25185,42811,42817,42845,
+41493,42811,41622,42811,25367,42810,30748,42810,39650,42811,42752,42811,
+38673,42811,38675,42811,39823,42811,39783,42811,27533,42811,26625,42869,
+ 331,42811,35187,42873,41559,42811, 1369,42876, 767,42811,18967,42881,
+41019,42811,37899,42885,37617,42885,35931,42885,27021,42885,30091,42885,
+ 9195,42885,25793,42811,30091,42899,27021,42899,37845,42811,42667,42905,
+ 59,42811,35187,42909, 1325,42811,35187,42913,37897,42811,17125,42810,
+30091,42810,25793,42921,41019,42921, 265,42920, 1369,42811,30091,42929,
+41559,42928,20103,42929, 8337,42929,36773,42929,42731,42928,39633,42928,
+42707,42811,42704,42811, 483,42947,39633,42811, 1369,42950,39749,42811,
+ 483,42955, 1275,42811, 265,42810,40411,42961,30091,42960,21605,42810,
+26331,42967,25793,42967,23755,42967,27805,42967,39633,42967,42731,42967,
+41559,42967,41019,42967, 8495,42967,42731,42811, 1369,42986, 241,42810,
+ 375,42991, 9805,42991,18967,42810, 1141,42997, 33,42997, 1447,42997,
+ 265,42811,35187,43005, 9377,43005, 9533,43005,37145,43005,21605,42811,
+34311,43015,42619,43015,26625,43015,24545,43015, 9731,43015, 2,42810,
+ 3,42810, 0,43028,43005,43031, 295,43029, 1108,43029,35927,43029,
+38155,43029,37611,43029, 9,43029, 1011,43044, 1011,43029, 9,43048,
+ 2,42811,42831,43053, 5,43053,42829,43057,36256,43053, 9,43053,
+35187,43062,35187,43053, 9,43066, 3,42811, 5,43070,22807,43071,
+37663,43071,42613,43070, 483,43079, 241,43071, 9,43083,37845,42810,
+41559,43087,38389,43087,42731,43087,39633,43087,41019,43087,42613,42811,
+32805,43099,37845,43098,37845,43099,37844,43098,43105,43107,37844,43099,
+43103,43111, 3,43099, 1369,43115, 3,43098, 483,43119, 15,42811,
+20273,43123, 9617,43123,35187,42810, 7,43129, 2,43130, 2,43131,
+38305,43129, 3,43136,43135,43139, 3,43137,43133,43143, 1368,43129,
+43143,43147, 59,43129, 1325,43129, 331,43129, 265,43129, 2,43129,
+ 7,43158,43143,43161, 3,43129,38305,43164,43135,43167,37408,38305,
+ 7,43171, 2,43172,40999,43175, 2,43173,40101,43179,41017,43179,
+ 1368,43171,40999,43185, 59,43171, 1325,43171, 331,43171, 265,43171,
+ 2,43170,37783,43197, 2,43171, 7,43200,40999,43203,37617,43201,
+ 3,43171,38305,43208,43179,43211, 3,38305,43129,43214,43135,43217,
+ 1,43214, 1011,43221,42041,43221, 1418,43221,41941,43227,42035,43221,
+ 669,43221,41941,43233,42089,43221,42129,43221, 1369,43221, 15,43240,
+41941,43243, 15,43221, 1369,43246,41941,43249,11989,43215, 9,43253,
+13737,43215, 9,43257,37357,43215,10257,43215,38118,43215,38132,43215,
+37544,43215,37409,43215, 483,43270, 113,43215, 587,43275,37345,43215,
+37241,43214,40993,43281,40993,43215,37241,43285, 9,43215,38057,43288,
+ 483,43215,38057,43292,37409,43292,10289,43215, 15,43214, 165,43301,
+ 11,43214, 9,43214,11251,43307, 5177,43307, 17,43214, 113,43313,
+ 11,43215, 165,43215, 7,43214, 0,43321, 4,43322, 4,43321,
+ 0,43326,35186,43321, 295,43321, 1108,43321,35927,43321,38155,43321,
+37611,43321, 9,43321, 1011,43342, 1011,43321, 9,43346, 7,43215,
+21604,43351, 1,43351, 3,43354, 3,43351, 1,43358, 15,43351,
+38305,43363,43353,43365,43357,43365,43361,43365, 1011,43363,37409,43214,
+43179,43375,41941,43215,37408,43379, 7,43379,35187,43382,35187,43379,
+ 6,43386, 7,43386, 6,43387,43391,43393, 7,43387,43389,43397,
+ 1011,43215,37408,43401, 7,43401,35187,43404,35187,43401, 7,43408,
+38057,43215,40097,43413,40969,43413, 7,43413, 9,43412, 483,43412,
+35187,43214,40305,43425,40275,43425,38305,43425, 6,43430,43413,43433,
+ 6,43425,38305,43436,43413,43439,41941,43425, 6,43443, 7,43443,
+ 6,43442,43447,43449, 7,43442,43445,43453, 1011,43425, 7,43457,
+37844,38305,42336,43461,42917,43461,42905,43461,39013,43461,40305,43461,
+40275,43461,37933,43461,42155,43474,42155,43461,37933,43478, 6,43460,
+41941,43461, 6,43485, 7,43485, 6,43484,43489,43491, 7,43484,
+43487,43495, 1011,43461, 7,43499, 2,38305,41603,43503,41686,43503,
+41825,43503,41828,43503,42541,43502,42579,43513,16936,43503,36400,43503,
+36439,43519,36348,43503, 6,43523,36413,43525, 6,43522,36439,43529,
+36439,43523,41744,43503,41688,43503,41605,43503,41706,43503,41620,43503,
+ 1,43503, 1275,43544, 4,43544, 7,43544,41417,43551, 7,43545,
+39633,43555,41559,43555,42731,43555,41019,43555, 1,43502,41692,43565,
+41607,43565,41653,43565,41417,43570,41417,43565,41653,43574,41502,43565,
+41559,43579,41019,43565, 7,43582,41559,43585, 7,43583,41417,43589,
+ 7,43565,41019,43593,41653,43595,41019,43592,41559,43599, 5,43502,
+21605,43603,42810,43604,42811,43605,43607,43609,42811,43604,42810,43605,
+43613,43615,41692,43503,35187,43618,41607,43503,35187,43622,41360,43503,
+41559,43627,41820,43503,41559,43631,41544,43503,41559,43635,35760,43503,
+ 8315,43503,37408,43502,37783,43643,42538,43503,42601,43647,42553,43647,
+42555,43647,41742,43503,41417,43654,41486,43503,41653,43658,41417,43503,
+41827,43662,41742,43662,41653,43662,35187,43668,35187,43662,41653,43672,
+37783,43503,37325,43502,42795,43679,42579,43679,41502,43503,41559,43685,
+35187,43687,35187,43684,41559,43691,37241,43503,37409,43695,41019,43697,
+41381,43503,41653,43700, 1275,43503, 1,43704,35187,43704, 9,43705,
+ 9731,43711,43221,43711,43549,43711,26625,43711, 587,43503,42811,43721,
+35895,43723,15879,43723, 4787,43723,41653,43503, 1,43731,41417,43733,
+41381,43730,41486,43730,41417,43730,35187,43740,35187,43730,41417,43744,
+ 9,43502,36727,43749,36079,43749,37895,43749,41827,43503,41417,43756,
+ 6,43502,39616,43761,39614,43761,39578,43761,39901,43761,41282,43761,
+41266,43761,41270,43761,39961,43761,39981,43761,35718,43761,39869,43781,
+41019,43761,35895,43784,15879,43784, 4787,43784,15879,43761,39489,43792,
+41019,43792, 4787,43761,39489,43798,41019,43798,35895,43761,39489,43804,
+41019,43804, 587,43761,35187,43810,39869,43813,35187,43761, 587,43816,
+39869,43819, 587,43817,39489,43823,41019,43823,39489,43761,15879,43828,
+ 4787,43828,35895,43828, 7,43502, 6,43503,36348,43838,36439,43841,
+36348,43839,36429,43845, 7,43503,41817,43848,43817,43849,41019,43853,
+ 4,43849, 0,43856,43784,43859,41019,43859,43761,43862,43761,43859,
+41019,43866, 0,43849, 4,43870,43784,43873,41019,43873,43761,43876,
+43761,43873,41019,43880, 1,43848,41417,43885,35186,43849,43784,43889,
+41019,43889,43761,43892,43761,43889,41019,43896,41816,43848,41559,43901,
+41019,43848,41559,43905,35187,43907,35187,43904,41559,43911,41019,43849,
+41827,43915,43851,43915,41742,43915,41653,43915,35187,43922,35187,43915,
+41653,43926,35187,43848,41417,43931,41019,43930,41559,43935,41019,43931,
+41653,43939,37409,43502,41354,43943,40165,43943,41019,43943,37241,43948,
+37241,43943,41019,43952,37408,43503,41417,43957,37663,43957,41019,43956,
+41559,43963,41019,43957,41653,43967,41816,43503, 6,43970, 7,43970,
+41559,43975, 6,43971,43975,43979, 7,43971,43973,43983,41417,43983,
+41019,43503, 1,43989, 7,43990,41417,43993, 7,43991,41559,43997,
+37408,43988,41559,44001,37408,43989,41381,44005, 7,43989,41381,44009,
+41486,44009, 1,44008,41417,44015,41417,44009,35187,44018,35187,44009,
+41417,44022, 7,43988,41559,44027,35187,44029,35187,44026,41559,44033,
+35187,43988, 6,44036, 7,44036,41559,44041, 6,44037,44041,44045,
+ 7,44037,44039,44049,41417,44049,21605,43503, 7,44055, 265,44057,
+35187,43503,41692,44060,41607,44060,41502,44060,41559,44067, 1275,44060,
+41653,44060,41417,44072,36945,44061,41019,44077,41417,44060,41653,44080,
+ 6,44061,41922,44085,43413,44085,41019,44085,36773,44090,36773,44085,
+41019,44094, 7,44061,41559,44099,42731,44099,39633,44099,41019,44099,
+ 6,44060,44099,44109, 7,44060,41417,44113,41019,44112,41559,44117,
+44085,44113,41019,44113,41653,44123,41019,44060, 6,44126, 7,44126,
+41559,44131, 6,44127,44131,44135, 7,44127,44129,44139,41417,44139,
+36773,44061,41417,44145, 7,44145,41019,44149,35187,43502,41217,44153,
+41472,44153,29229,44153,41099,44153,36429,44153,42559,44153,41417,44153,
+37145,44166,37783,44153,37214,44153,41019,44173, 7,44153,41019,44177,
+37145,44179,37145,44176,41019,44183,37145,44153,41417,44186, 7,44186,
+41019,44191,38056,38305,41472,44195,41217,44195,41099,44195,29229,44195,
+36429,44195,42559,44195,35187,44195, 6,44209,43413,44211,41417,44195,
+37145,44214,37783,44195,37214,44195,41019,44221, 7,44195,41019,44225,
+37145,44227,37145,44224,41019,44231,37145,44195,41417,44234, 7,44234,
+41019,44239, 6,38305,42453,44243,42493,44243,42472,44243,42439,44243,
+42474,44243,42441,44243,42363,44243,42471,44256,42381,44243,42165,44243,
+42471,44262,42325,44243,42330,44243,42343,44243,42321,44243,42319,44243,
+42371,44243,42376,44243,42568,44243,42447,44243,42484,44243,42054,44243,
+42056,44243,44171,44243,43645,44243,43960,44243,44219,44243,43201,44243,
+37617,44298,43206,44243,38711,44243,43199,44243,42605,44243,40231,44243,
+43677,44243,40959,44243,10586,44243,10827,44243,42594,44243,42603,44243,
+42577,44243,42596,44243, 6664,44243, 6243,44243, 9780,44242, 566,44242,
+ 566,44243, 567,44242,44337,44339,43517,44243, 9781,44242,42012,44243,
+36303,44242,36303,44243,26970,44242,26971,44242,43639,44243, 4593,44243,
+ 6625,44358, 3113,44243, 3023,44243, 4736,44243, 6653,44243,42518,44243,
+ 3251,44243,42516,44243,42486,44243,42449,44243,42496,44243,42456,44243,
+19257,44243,19243,44243,43425,44242,43413,44389,40511,44243,17452,44243,
+42085,44243,43707,44243,42087,44243,40961,44243,43709,44243,44071,44243,
+36099,44243,36098,44242,44409,44411,36099,44242,36098,44243,44415,44417,
+43605,44243,43222,44242,43223,44243,44423,44425,43222,44243,43223,44242,
+44429,44431,42199,44243,24081,44243,42181,44243,42383,44243,42435,44441,
+42401,44243,42177,44243,43547,44243, 5,44242,42283,44451,25380,44451,
+42155,44455, 1369,44451,21605,44458,42155,44461,21605,44451, 1369,44464,
+42155,44467,42373,44243,37145,44470,42561,44243,37145,44474,42579,44474,
+42327,44243,37145,44480,27514,44243,42490,44243,35187,44486,42451,44243,
+35187,44490, 413,44243,32805,44243,42155,44496,28547,44243,42064,44243,
+42138,44243,40517,44243,40543,44243,30294,44243,38004,44243,43461,44513,
+38232,44243,42155,44517,38005,44243,42155,44521,30749,44243, 9780,44243,
+44345,44527,26970,44243,44355,44531, 6625,44243, 4593,44534, 33,44535,
+ 9781,44243,44333,44541,25005,44243,26971,44243,44353,44547,25185,44243,
+25589,44243,42074,44243,42152,44243,10831,44243, 77,44243, 120,44243,
+ 506,44243,38041,44243, 5101,44243,16989,44243,10511,44243, 4931,44243,
+ 5267,44243,16981,44243,13017,44243,12705,44243,13673,44243,18391,44243,
+18617,44243,14599,44243, 9366,44243,36302,44243,18217,44243,42332,44243,
+42435,44599,42570,44243,42435,44603,42426,44243,42435,44607,41539,44243,
+41720,44243, 9132,44243, 1216,44243,36302,44242, 3,44618,44351,44621,
+30748,44243,30748,44242,44525,44627,30749,44242,44625,44631,16931,44243,
+35931,44243,41941,44636,39600,44243,42500,44243,18929,44243,38669,44243,
+38677,44243,17019,44243,39941,44243,39955,44243,27021,44243, 483,44656,
+41941,44656,37844,44242,44351,44663,41653,44243, 483,44666,43413,44243,
+43425,44671,42514,44243,42361,44674,42368,44243,42471,44678,42361,44243,
+42579,44682,42514,44682,42471,44682,35187,44688,35187,44682,42471,44692,
+20234,44243, 8444,44243, 567,44243,44335,44701,16937,44243, 11,44705,
+ 1369,44705,26625,44243,41941,44710,41941,44243,37899,44714,37617,44714,
+35931,44714,27021,44714,26625,44714, 9195,44714, 9731,44714,43957,44243,
+37663,44730,20103,44243, 483,44734, 8337,44243, 483,44738, 9533,44243,
+ 4727,44243, 25,44744,10527,44243, 25,44748, 4541,44243,38128,44243,
+38057,44243,42155,44757,37145,44759,37145,44756,42155,44763, 587,44756,
+37845,44243,43461,44769,36773,44771,36773,44768,43461,44775, 25,44243,
+10527,44778, 4727,44778, 113,44778, 9195,44243,41941,44786, 483,44786,
+37782,44243,43197,44793,43643,44793,38709,44793,17451,44243, 1011,44800,
+35688,44243,36910,44243,36923,44243,37899,44243,41941,44810,37617,44243,
+41941,44814,43201,44814, 9731,44243,41941,44820, 8997,44243, 483,44824,
+ 66,44243, 33,44829, 483,44243,27021,44832,30091,44832, 241,44832,
+ 9195,44832,41653,44832, 8997,44832,42471,44832,39489,44832,20103,44832,
+ 8337,44832,36773,44832, 903,44243, 1011,44856,18967,44243, 567,44861,
+ 566,44860,44863,44865, 566,44861, 567,44860,44869,44871, 241,44243,
+ 483,44874,42425,44243,42378,44243,42435,44881,35187,44883,35187,44880,
+42435,44887, 1369,44881,36773,44243,37845,44892,43461,44895, 483,44892,
+37845,44893,41019,44901,37145,44243,42327,44904,42373,44904,42561,44904,
+38057,44904,42155,44913,42341,44243,42471,44916,30091,44243, 483,44920,
+ 113,44243, 25,44924,35187,44924,17125,44243,37663,44243,43957,44932,
+39489,44243, 483,44936,39943,44243, 1369,44941, 587,44243,43215,44945,
+35895,44947,15879,44947, 4787,44947,38057,44944, 8449,44243,20237,44243,
+ 265,44242,40399,44961, 11,44961,42471,44243,42165,44966,42363,44966,
+42341,44966,42368,44966,42361,44966,35187,44976, 483,44966,35187,44966,
+42361,44982,20834,44243, 1011,44243,17451,44988,35187,44988, 903,44988,
+20763,44988,20763,44243, 1011,44998, 257,44243,42579,44243,42561,45004,
+42361,45004, 2,44242,39616,45011,39614,45011,39578,45011,39901,45011,
+41282,45011,41266,45011,41270,45011,39961,45011,39981,45011,35718,45011,
+39869,45031,41019,45011,35895,45034,15879,45034, 4787,45034,15879,45011,
+39489,45042,41019,45042, 4787,45011,39489,45048,41019,45048,35895,45011,
+39489,45054,41019,45054, 587,45011,35187,45060,39869,45063,35187,45011,
+ 587,45066,39869,45069, 587,45067,39489,45073,41019,45073,39489,45011,
+15879,45078, 4787,45078,35895,45078, 3,44242,36302,45087,44349,45089,
+35187,45086,44351,45093, 2,44243, 14,45097, 5,45097, 6,45100,
+ 6,45097, 5,45104,21605,45097,38305,45109,45099,45111,45103,45111,
+45107,45111,43215,45097,43325,45119,43329,45119,35895,45119,15879,45119,
+ 4787,45119,43331,45119,35187,45119,43321,45133,35187,45096,39313,45137,
+40157,45137,43281,45137,43215,45137,37241,45145, 3,44243,42539,45148,
+38305,45149,37408,45152,37408,45153,45067,45149,41019,45159, 4,45149,
+ 0,45163,38305,45163, 0,45162,45034,45169,41019,45169,45011,45172,
+45011,45169,41019,45176,45119,45169, 0,45149,38305,45183, 4,45182,
+45034,45187,41019,45187,45011,45190,45011,45187,41019,45194,45119,45187,
+ 0,45148,38305,45148, 1,45148,45176,45205,45194,45205,45169,45205,
+45011,45210,45187,45205,45011,45214,45159,45205,45011,45205,45169,45220,
+45187,45220,35186,45148,35186,45149,38305,45229, 7,45231,45220,45229,
+45205,45229,45011,45236,45034,45229,41019,45229,45011,45242,45011,45229,
+45205,45246,41019,45246,45119,45229, 1,45149,45165,45255,45011,45257,
+45167,45255,45011,45261, 5,45149,45185,45265,45011,45267,43171,45149,
+37617,45271,42538,45148,42435,45275,37409,45148,38709,45279,43197,45279,
+45155,45279,43643,45279,42155,45148,42435,45289,35187,45291,35187,45288,
+42435,45295, 1369,45289, 1011,45149, 483,45301, 11,45148, 33,45305,
+37409,45149,45157,45309,43957,45309, 11,45149, 25,45315,35187,45315,
+42155,45149,42579,45321,45151,45321,42514,45321,42471,45321,35187,45328,
+35187,45321,42471,45332,45066,45149,45201,45337,45203,45337,35187,45149,
+45201,45343,45011,45345,45203,45343,45011,45349,45011,45342,45201,45353,
+45203,45353,45011,45149,35187,45358,45201,45361,45203,45361,35187,45148,
+40217,45367,45233,45367,42155,45366,42435,45373,42155,45367,42471,45377,
+37845,44242,41922,45381,43413,45381,44595,45381,44993,45381,41019,45381,
+36773,45390,36773,45381,41019,45394,38056,44243,39313,45399,40157,45399,
+43281,45399,43215,45399,37241,45407,37844,44243,40217,45411,42155,45410,
+42435,45415,42155,45411,42471,45419,42538,44243, 3,45422,42435,45425,
+ 3,45423,42361,45429,42155,44243,32805,45432,37845,45432,37845,45433,
+37844,45432,42435,45441,45439,45441,37844,45433,42341,45447,45437,45447,
+ 3,45433,42341,45453,42368,45453,42361,45453,35187,45458,35187,45453,
+42361,45462, 483,45453, 3,45432,42435,45469,35187,45471,35187,45468,
+42435,45475, 1369,45469,35187,45432, 3,45480,42435,45483, 3,45481,
+42361,45487, 11,44243, 8861,45491, 3,45490, 33,45495, 3,45491,
+ 113,45499, 331,45491, 1325,45491, 59,45491,35187,44243,42490,45508,
+42451,45508,38305,45508, 7,45515, 2,45517, 2,45516, 2,45515,
+ 7,45522, 1368,45515, 1011,45508,45381,45529,42378,45508,42435,45533,
+42471,45508,42361,45536,37285,45509,41019,45541,42361,45508,42471,45544,
+ 113,45508, 2,45509,41354,45551,40165,45551,38305,45551, 7,45557,
+41019,45551,37241,45560,37241,45551,41019,45564, 3,45509,45519,45569,
+ 2,45508,40157,45573,39313,45573,43281,45573,43215,45573,37241,45581,
+ 3,45508,40217,45585,45521,45585,45525,45585,45559,45585,45527,45585,
+42155,45584,42435,45597,42155,45585,42471,45601,42155,45508, 3,45604,
+42435,45607, 3,45605,42361,45611,37409,44243,43503,45615,37663,45617,
+ 3,45615,43201,45621, 3,45614,38709,45625,43197,45625,43643,45625,
+35187,44242, 3,45632,44351,45635,35187,38305,37214,45639, 2,45641,
+39019,45643,39021,45641,37286,45639,35890,45638,35891,45639,45651,45653,
+35891,45638,35890,45639,45657,45659,38152,45638,38153,45639,45663,45665,
+38296,45638,38297,45639,45669,45671,38153,45638,38152,45639,45675,45677,
+38297,45638,38296,45639,45681,45683,37283,45639,42675,45639,37282,45639,
+42674,45639,37899,45638,37885,45695,38293,45639,37885,45639,37899,45701,
+44945,45639,38292,45639,44944,45639,37287,45639,38173,45638,38172,45639,
+45713,45715,38303,45638,38302,45639,45719,45721,38173,45639,38172,45638,
+45725,45727,38303,45639,38302,45638,45731,45733,45096,45639,45149,45639,
+ 7,45738,45367,45741,45097,45639,37241,45639, 2,45747, 2,45746,
+ 587,45746,42613,45639, 1369,45754,38271,45639, 1369,45758,44243,45639,
+ 2,45763, 2,45762, 587,45762, 136,45639, 137,45639, 1530,45638,
+ 842,45638, 669,45639, 1419,45639, 843,45639,39085,45783,45777,45783,
+ 1531,45639,45775,45789, 1530,45639, 843,45638, 842,45639,45795,45797,
+ 1531,45638,45793,45801, 1368,45639,45411,45805,40999,45805,45367,45805,
+45585,45805,42613,45805,37845,45805,44243,45817, 586,45639,39847,45821,
+39142,45821,39085,45821, 483,45826,37241,45821, 483,45821,39085,45832,
+ 586,45638,38675,45837,39823,45837,39783,45837,39749,45837, 483,45845,
+ 1418,45639, 668,45639, 587,45638,37885,45853,37202,45853,37145,45853,
+ 483,45858, 483,45853,37145,45862, 587,45639,37241,45866,44243,45866,
+ 9,45866, 483,45639, 587,45875,37145,45877, 1369,45639,35760,45880,
+35761,45881,45883,45885,35760,45881,35761,45880,45889,45891,42613,45880,
+38271,45880, 15,45880, 9,45639, 2,45900, 2,45901, 587,45900,
+ 265,45639, 375,45909, 15,45639, 1369,45912, 7,45639,40956,45917,
+44060,45917,40957,45917,44061,45917,43502,45917,37844,45917,35187,45917,
+ 3,45930,43503,45930, 3,45931,45927,45937, 1369,45931,38305,45917,
+ 2,45942,45937,45945,37845,45942, 2,45943,45933,45951,45929,45951,
+ 587,45943,45149,45917,37145,45959,45227,45959,37845,45917,38305,45964,
+43503,45917,35187,45968, 375,45917,45148,45917, 2,45917,40101,45977,
+41017,45977,38305,45976,45937,45983,44904,45977,45569,45977,43375,45977,
+39019,45977,44243,45977,37145,45994,37145,45977,44243,45998, 3,45917,
+35187,46002,45951,46005,44243,46002, 3,45916,45943,46011, 7,46011,
+38305,46015,45977,46017,45994,46011,45959,46011,45967,46011,45919,46011,
+45949,46011,45925,46011,37241,46011,45977,46011,44243,46034,44243,46011,
+45977,46038, 2,45916,45931,46043,40999,46043,45975,46043,45367,46043,
+45585,46043,46009,46043,45971,46043,45921,46043,45935,46043,45923,46043,
+45411,46043,42613,46043,46003,46043,44243,46069,37845,46043,44243,46073,
+44243,45917, 3,46076,46043,46079, 3,46077,45977,46083, 6,45638,
+45998,46087,46073,46087,45817,46087,37844,46087,46043,46095,45805,46095,
+35187,46087, 3,46101,45977,46103, 3,46100,46043,46107,45805,46107,
+37145,46087,45977,46112,45977,46087,37145,46116, 3,46087,35187,46120,
+46043,46123,45805,46123,45917,46121,37145,46129,45917,46087,35187,46132,
+ 2,46135, 2,46134,38057,46132,38056,46132, 2,46133,46141,46145,
+ 3,46133,46139,46149,46143,46149, 2,46132,35187,46154,46149,46157,
+46149,46155, 3,46132,46137,46163,46145,46163, 3,45639, 5,46169,
+ 6,46171, 4,46168, 0,46168, 5,46168, 1,46168,45983,46169,
+45945,46169,43679,46169,45927,46169,40277,46169,45749,46169,45765,46169,
+39315,46169,45905,46169,37241,46169,45977,46169,42613,46203,43848,46169,
+ 256,46169, 6,46169,46175,46211,46177,46211,37145,46211, 7,46169,
+46179,46219,46181,46219,41019,46219,45639,46218, 2,46227,38305,46219,
+46229,46231, 3,46231,46227,46235,45977,46231,43503,46218, 241,46218,
+38271,46219, 7,46168,37241,46247,38057,46169,38305,46251,46211,46253,
+43503,46169, 6,46256, 7,46256, 6,46257,46261,46263, 7,46257,
+46259,46267, 241,46169, 7,46270, 2,45638,41472,46275,41217,46275,
+46175,46275,46211,46280,46177,46275,46211,46284,46212,46275,46214,46275,
+46221,46275,46223,46275,46173,46275,45930,46275,46043,46299,46045,46275,
+46216,46275,46225,46275,41099,46275,46032,46275,45711,46275,46200,46275,
+45745,46275,46248,46275,46245,46275,35187,46275,45917,46322,46043,46325,
+45917,46323,46011,46329,45830,46275,29229,46275,45773,46275,36429,46275,
+45895,46275,45897,46275,45687,46275,45693,46275,45705,46275,45707,46275,
+45849,46275,45779,46275,42559,46275,45899,46275,45915,46275,45757,46275,
+45761,46275,45941,46275,41417,46275,37145,46368,45821,46275,37241,46372,
+46011,46275,37241,46376,46247,46275,37241,46380,45881,46275,42613,46385,
+37241,46275,46011,46388,46169,46388,46247,46388,45821,46388,46211,46275,
+46175,46398,46177,46398,37145,46398,37783,46275,44243,46407,45917,46275,
+35187,46410,46043,46413,37214,46275,41019,46417,46218,46275,46179,46421,
+46181,46421,41019,46421, 7,46275,41019,46429,37145,46431,46169,46429,
+46175,46435,46177,46435,37145,46435,37145,46428,41019,46443,46169,46428,
+46179,46447,46181,46447,41019,46447,37145,46275,41417,46454,46211,46454,
+ 7,46454,41019,46461,46169,46275,35187,46464, 6,46467, 6,46466,
+38305,46465,46211,46473,38271,46464,44243,46465,38270,46464,37241,46464,
+ 6,46465,46477,46485, 7,46465,46471,46489,46481,46489, 6,46464,
+46473,46495,35187,46494,46489,46499,46489,46495, 7,46464,46179,46505,
+46181,46505,46469,46505,46485,46505,41019,46505, 2,45639,42671,46517,
+39429,46517,44814,46517,44810,46517,44636,46517,37241,46516,40077,46517,
+44243,46516,46003,46517,37241,46535, 9,46516,44243,46517,37617,46540,
+37899,46540,35931,46540,35931,46517,44243,46548,37617,46517,44243,46552,
+37899,46517,44243,46556, 7,46517,44243,46561, 7,46516,46107,46565,
+46123,46565,46095,46565,40999,46565,45585,46565,45411,46565,45367,46565,
+42613,46565,37845,46565,46087,46583,44243,46583,37845,46517,46211,46589,
+41417,46589, 7,46589,41019,46595, 3,45638,45951,46599,45942,46599,
+46011,46603,46013,46599,46066,46599,46540,46599,40305,46599,46529,46599,
+45751,46599,46533,46599,45767,46599,46580,46599,46563,46599,45649,46599,
+45737,46599,38305,46599,45917,46630,46011,46633,45917,46631,46043,46637,
+45814,46599,45771,46599,45869,46599,45871,46599,45689,46599,45691,46599,
+45699,46599,45709,46599,45851,46599,45781,46599,40275,46599,46539,46599,
+45903,46599,45873,46599,45907,46599,45753,46599,45769,46599,45957,46599,
+45805,46599,42613,46676,46043,46599,42613,46680,46565,46599,42613,46684,
+45867,46599,37241,46689,42613,46599,46043,46692,46565,46692,45805,46692,
+45917,46599,38305,46700,46011,46703,46560,46599,44243,46599,46517,46708,
+ 7,46599,38305,46713,46517,46715,46517,46712,41941,46599, 6,46721,
+ 7,46721, 6,46720,46725,46727, 7,46720,46723,46731, 1011,46599,
+ 7,46735,46517,46599,38305,46738,35187,46739, 6,46742, 6,46743,
+44243,46738,38271,46739,38270,46739,37241,46739, 6,46739,35187,46756,
+46741,46757, 7,46739,41019,46763,46747,46763, 6,46738,46763,46769,
+46751,46769, 7,46738,46759,46775,46745,46775,46757,46775,46753,46775,
+ 6,45639, 7,45638,43214,46787,45977,46789,38305,46787, 3,46793,
+46043,46795,46565,46795,45805,46795, 3,46792,45977,46803, 59,46787,
+ 1325,46787, 331,46787, 265,46787, 2,46787, 7,46814,46795,46817,
+ 3,46787,38305,46820,45977,46823,46785,46787,35187,46827, 2,46828,
+ 2,46829,38057,46827,38056,46827, 2,46827,35187,46838, 3,46827,
+46833,46843, 2,46826,46843,46847,46835,46847, 3,46826,46841,46853,
+46831,46853,46839,46853,46837,46853, 0, 6,13135,46863,13169,46864,
+ 4871,46863, 4893,46868,13172,46863, 4894,46863,13136,46863,13143,46877,
+ 4872,46863, 4879,46881,13145,46863, 4881,46863,37417,46863,38056,46888,
+38057,46889,46891,46893,38057,46888,38056,46889,46897,46899,17176,46863,
+17380,46863,16950,46863,17058,46863,16948,46863,17056,46863,16974,46863,
+17072,46863,16996,46863,17086,46863, 3348,46863,18291,46863, 7316,46863,
+ 8455,46863, 8343,46863, 8353,46863,13139,46863,13175,46863,13155,46863,
+13517,46863,15197,46863,15485,46863,15512,46863,15595,46863,15203,46863,
+ 5757,46863, 5453,46863, 5471,46863, 5455,46863, 4863,46959, 5507,46863,
+12569,46863,12387,46863,12551,46966,12552,46863,16995,46863,16941,46863,
+16977,46974,16978,46863,17017,46862,17016,46862,19836,46863,19857,46985,
+19815,46863, 4,46988,19857,46991, 4,46989,19843,46995,27930,46863,
+27895,46999,27857,46863, 4,47002,27895,47005, 4,47003,27907,47009,
+36303,46862,36325,47013,27128,46863, 9136,46863,27266,46863,27163,46863,
+34310,46863,34447,47025,46516,46863,46599,47029,33454,46863,33368,46863,
+28027,46863,28111,46863,28117,46863,26928,46863,24253,46863,30569,46863,
+30316,46863,28213,46863,26525,46863, 9137,46863, 273,46863, 1477,46863,
+ 281,46863,17011,46863, 5043,46863,15503,46863, 8997,47066,24558,46863,
+26575,46863,41877,46863, 120,46863, 77,46863,16977,46863,16941,47080,
+ 9262,46863,14813,46863,26605,46863,41923,46863, 8843,46863,37131,46863,
+41907,46863,26591,46863,41893,46863,37113,46863,20255,46863, 9288,46863,
+ 8697,46863, 9275,46863, 8784,46863,19877,46863,41867,46863,20043,46863,
+21376,46863,21485,46863,19787,46863,19391,46863,19299,46863,19271,46863,
+19283,46863,17010,46863, 5042,46863,36518,46863,40664,46863,17017,46863,
+46983,47143, 1516,46863, 948,46863,17016,46863,46981,47151,16972,46863,
+ 903,47154,17070,46863, 1011,47158,17175,46863, 903,47162,17379,46863,
+ 1011,47166, 4213,46863, 375,47170, 8757,46863, 375,47174, 4266,46863,
+16865,46863,16873,46863,16867,46863,12642,46863, 8896,46863,14740,46863,
+ 8355,46863, 264,47193, 265,47192,47195,47197, 264,47192, 265,47193,
+47201,47203,14515,46863,14517,46863,14519,46863,20201,46863,36979,46863,
+20152,46863,36898,46863,20239,46863,37095,46863,21522,46863,38266,46863,
+17082,46863, 903,47228,16990,46863,16943,47233, 1011,47232,35780,46863,
+29644,46863,43412,46863,15628,46863, 9044,46863, 264,47247, 265,47246,
+47249,47251, 264,47246, 265,47247,47255,47257,12484,46863,12486,46863,
+12488,46863,12551,46863,12387,47266,12547,46863,12633,46863,12507,46863,
+12497,46863,12501,46863,13381,46863,13169,46863,13135,47282, 4893,46863,
+ 4871,47286,12563,46863,27255,46863, 483,47292, 9287,46863, 483,47296,
+13119,46863, 264,47300,13143,47303, 264,47301,13169,47307, 4863,46863,
+ 264,47310, 4879,47313, 264,47311, 4893,47317, 7315,46863, 413,47320,
+ 264,47320, 264,47321, 265,47320,47327,47329, 265,47321,47325,47333,
+14653,46863, 375,47336,16875,46863,12504,46863,19478,46863,35766,46863,
+20044,46863,36534,46863,12566,46863,12391,47353,33338,46863,34447,47357,
+45866,46863,46599,47361,25545,46863,40675,46863, 1413,46863, 922,46863,
+ 1281,46863, 247,46863,36303,46863,38299,47377,37897,47377,36335,47377,
+35893,47377,20035,46863, 11,47387, 11,47386,36527,46863, 587,47392,
+24545,46863, 483,47396,35761,46863, 903,47400,19475,46863, 1011,47404,
+ 1086,46863, 934,46863, 1216,46863,17049,47412,16937,47412, 9766,46863,
+ 5519,46863, 8389,46863, 8861,46863, 3345,47424,12377,47424, 8337,46863,
+ 375,47430, 8374,46863, 8365,46863,20169,46863,36921,46863, 8453,46863,
+ 4863,47443,13119,47443, 9072,46863, 9105,46863, 305,46863,12377,47452,
+ 9731,46863, 483,47456, 8997,46863,15503,47460, 265,47460, 265,47461,
+ 257,47460, 264,47469, 265,47468,47471,47473, 264,47468, 265,47469,
+47477,47479, 375,47460,15029,46863,12377,47484, 375,46863,27021,47488,
+30091,47488, 9195,47488, 8757,47488, 4213,47488,14653,47488,20103,47488,
+36773,47488, 8337,47488, 8997,47488, 241,47488, 6578,46863, 394,46863,
+ 828,46863, 128,46863, 299,46863, 705,46863, 101,46863,28715,46863,
+21315,47526, 165,46863, 903,47530,43215,46863,38057,47534, 1505,46863,
+ 1011,47538,30091,46863, 375,47542, 113,46863, 25,47546, 9,47546,
+ 803,46863, 483,47552, 518,46863, 504,46863, 508,46863, 645,46863,
+ 623,46863, 659,46863, 510,46863, 241,47568, 506,46863, 9,47572,
+ 244,46863, 483,47576, 265,46863, 8997,47580, 5041,47580,17009,47580,
+ 8861,47581, 241,46863, 265,47591, 6515,47590, 375,47590, 510,47590,
+ 483,47590, 9,47600, 9,47590, 483,47604, 1011,46863,16990,47608,
+17070,47608,17379,47608,40617,47608,16937,47608, 903,47618, 1505,47608,
+17049,47608, 903,47624,21315,47608,19475,47608, 587,47608, 903,47608,
+16937,47634,17049,47634, 903,46863,16937,47641,16977,47643,17082,47640,
+16972,47640,17175,47640,32805,47640,36349,47640,17049,47640, 1011,47656,
+ 165,47640,16937,47640,16943,47663, 1011,47662,38057,47640,35761,47640,
+ 483,47640, 11,47640, 1011,47640,17049,47676,16937,47676,10527,47640,
+ 4727,47640, 6515,47640, 6564,46863, 6685,46863,35187,47690, 11,47691,
+ 6515,46863, 241,47696, 903,47696, 587,47697,10761,46863,10592,46863,
+ 4738,46863,13857,46863, 483,47710,10527,46863, 903,47714, 9,47714,
+ 3345,46863, 413,47720, 8861,47720, 1369,47721, 341,47721, 3747,46863,
+ 1369,47731, 3689,46863, 1369,47735,17000,46863,17090,46863, 2691,46863,
+ 2777,46863, 2793,46863, 2831,46863, 6486,46863, 4415,46863,10493,46863,
+13941,46863,10901,46863, 4727,46863, 903,47760, 9,47760, 4819,46863,
+ 483,47766, 6703,46863, 6623,46863, 5759,46863, 7823,46863, 7813,46863,
+ 7761,46863, 7705,46863, 7735,46863, 7727,46863,13904,46863,10600,46863,
+ 4742,46863, 4822,46863, 2875,46863, 2865,46863, 2961,46863, 2949,46863,
+ 2919,46863, 3645,46863, 3609,46863, 3467,46863,17102,46863,17104,46863,
+ 1369,47815, 5041,46863, 265,47819, 265,47818, 4919,46863, 483,47824,
+17100,46863,17009,46863, 265,47831, 265,47830,17099,46863, 483,47836,
+ 4920,46863, 6441,46863, 483,47842,17123,46863, 3353,46863, 3691,46863,
+10154,46863, 3777,46863, 2847,46863, 2881,46863, 2933,46863, 2929,46863,
+ 2967,46863, 5271,46863, 4923,46863, 3355,46863, 3031,46863, 3121,46863,
+20819,46863,37537,46863,20952,46863,37748,46863,20885,46863, 483,47884,
+37663,46863, 9,47888,11529,46863, 1010,46862,23717,47895,24522,47895,
+24447,47895,23939,47900,23939,47895,24447,47904,22956,47895,23651,47909,
+21605,47895, 17,47913,23939,47915, 17,47912,23651,47919, 17,47895,
+21605,47923,24447,47925,21605,47922,23651,47929, 264,46862,47135,47933,
+47823,47933,47835,47933,47137,47933,47587,47933,47585,47933,47465,47933,
+47583,47933,47019,47933,47581,47933,17009,47953, 5041,47953, 8997,47953,
+ 265,46862,47063,47961,47065,47961,47055,47961, 8997,47961, 5041,47961,
+17009,47961, 8495,47961, 241,47961, 241,46862, 240,46863, 265,47981,
+ 1,47982, 0,47982, 5521,47983, 5520,47982,47989,47991, 5520,47983,
+ 5521,47982,47995,47997, 0,47983,47985,48001, 1,47983,47987,48005,
+ 264,46863,15193,48009,15475,48009,15579,48009,13119,48008,13143,48017,
+ 4863,48008, 4879,48021,47972,48009,47970,48009,47821,48009,47833,48009,
+13507,48009,47968,48009,47467,48009, 53,48009, 1471,48009, 8997,48009,
+47961,48042, 253,48009,17009,48009,47961,48048, 5041,48009,47961,48052,
+15437,48009, 8997,48057,20501,48009,47961,48009,17009,48062, 5041,48062,
+ 8997,48062,20219,48009,37019,48009,19513,48009,35843,48009,20697,48009,
+37377,48009,13119,48009,13135,48083, 4863,48009, 4871,48087,18967,48009,
+ 483,48091, 1369,48009, 9875,48009, 8401,48009, 9955,48009,10273,48009,
+ 4137,48009, 3863,48009, 4063,48009, 241,48009, 413,46863, 3345,48112,
+ 7315,48112,17049,48112,16937,48112,12377,46863, 8861,48122,15029,48122,
+ 305,48122, 713,48122, 25,48122, 587,48123,12387,48135, 11,48123,
+ 257,48123, 253,48123, 1471,48123, 53,48123, 1369,48123, 257,48122,
+ 587,48122,12391,48153, 257,46863, 9136,48156, 9137,48156, 264,48157,
+48159,48163,17827,48156,48163,48167, 413,48156, 1,48170, 264,48156,
+ 8997,48175, 241,48175, 1,48179, 265,48157, 8997,48183,48175,48184,
+ 4425,48183,48161,48183,48176,48183,48175,48183, 8997,48194, 5579,48183,
+17873,48183, 1791,48183,48173,48183,48181,48183, 265,48156, 8997,48208,
+48163,48211,48163,48209, 8997,48215, 8997,48156, 265,48218,48163,48221,
+ 265,48219,48175,48225,12377,48156,36925,46863,20177,46863, 8383,46863,
+ 8385,46863, 88,46863, 11,48239,37409,48239, 566,46863,27021,48245,
+ 9195,48245,20501,48245, 9377,48245, 9875,48245, 587,48245,20763,48245,
+ 653,46863, 11,48261, 289,46863, 587,48265,36349,46863, 903,48268,
+40617,46863, 1011,48272, 66,46863, 33,48277,20217,46863,37017,46863,
+37845,46863,38057,46863, 903,48286,43215,48286, 155,48286,21315,46863,
+ 483,48294, 1011,48294,28715,48294, 1347,48294, 1347,46863,21315,48304,
+ 155,46863,38057,48308,21378,46863,38134,46863,20103,46863, 375,48316,
+36773,46863, 375,48320, 713,46863,12377,48324, 25,46863, 113,48328,
+12377,48328,26625,46863, 483,48334,10107,46863,38056,48338,38056,48339,
+38057,48338,48343,48345,38057,48339,48341,48349, 3,48339, 3,48338,
+ 9195,46863, 375,48356,27021,46863, 375,48360, 19,46863, 59,48365,
+32805,46863, 4,48368,34447,48371, 903,48368, 9,48368, 4,48369,
+33871,48379, 11,48368,34447,48383,45639,46863, 2,48386,46599,48389,
+ 2,48387,46169,48393, 587,48386,46599,48397,36256,46863,35187,46863,
+ 6685,48402, 9,48402, 483,46863,27255,48408,26625,48408,24545,48408,
+ 9287,48408,21315,48408, 903,48408, 9731,48408,13857,48408, 803,48408,
+ 244,48408,17049,48408, 6441,48408, 4819,48408,17099,48408, 4919,48408,
+ 9,48408, 241,48440, 241,48408, 9,48444,20885,48408, 5,48408,
+27021,48451, 9195,48451,20501,48451, 9377,48451, 9875,48451, 587,48451,
+20763,48451, 9,46863,32805,48466,10527,48466, 113,48466, 506,48466,
+16937,48466, 4727,48466, 483,48466, 241,48480, 241,48466, 483,48484,
+37663,48466, 265,48467, 11,48491, 3,48466, 11,48495,37409,48495,
+35187,48466,19917,46863,18967,48503, 5,48504, 5,48505,21036,48503,
+21037,48503, 4,48503,48509,48515, 5,48503,18967,48518, 4,48502,
+48521,48523,48507,48523,48511,48523, 5,48502,48513,48531, 587,46863,
+12377,48535,12551,48537,45639,48535,46275,48541,12377,48534,12391,48545,
+36527,48534,45639,48534,46599,48551, 265,48535,17827,48555, 1011,48534,
+ 11,46863,32805,48561,34003,48563,20035,48560,32805,48560,34447,48569,
+ 903,48560, 1275,48561, 9,48575, 3,48560, 33,48579, 3,48561,
+ 113,48583,16937,46863, 1216,48586, 413,48586,21036,48586,21037,48586,
+21036,48587,48595,48597,21037,48587,48593,48601, 903,48587,16941,48605,
+ 1011,48586, 903,48608, 903,48586,16943,48613, 1011,48612, 9,48586,
+17049,46863, 1216,48620, 413,48620, 903,48620, 1011,48626, 1011,48620,
+ 903,48630, 483,48620, 2,48620, 3,48620, 1369,48639, 2,48621,
+ 3,48621, 483,48645, 2,46862, 6,48649, 4,48651, 5,48649,
+ 9,48655,21604,48657,21604,48656,21605,48657,48661,48663,21605,48656,
+48659,48667, 5,48648,23717,48671,24522,48671,24447,48671,23939,48676,
+23939,48671,24447,48680,22956,48671,23651,48685, 17,48671,21605,48689,
+24447,48691,21605,48688,23651,48695,21605,48671, 17,48699,23939,48701,
+ 17,48698,23651,48705, 19,48649, 12,48649, 9,48649, 11,48712,
+ 11,48649, 9,48716,21605,48649,48652,48720,48653,48721,48723,48725,
+48653,48720,48652,48721,48729,48731, 3,46862, 5,48735, 4,46862,
+19975,48739,19365,48739,19221,48739,19917,48739,10107,48747, 587,48739,
+ 5,46862,25451,48753,42283,48753,19739,48753, 0,48753, 3,48761,
+25380,48753, 7971,48765,42155,48765, 164,48753,48353,48771,20763,48753,
+ 1011,48775, 1010,48774,48777,48779, 1010,48775, 1011,48774,48783,48785,
+ 2,48753, 17,48788,48353,48791, 2,48752,23717,48795,24522,48795,
+23939,48795,24447,48800,24447,48795,23939,48804,22956,48795,23651,48809,
+21605,48795, 17,48813,23939,48815, 17,48812,23651,48819, 17,48795,
+21605,48823,24447,48825,21605,48822,23651,48829, 1369,48753,21605,48832,
+ 7971,48835,42155,48835,21605,48753, 1369,48840,42155,48843, 7971,48843,
+ 17,48753,37844,48848,48762,48848,48763,48849,48853,48855,37844,48849,
+48763,48848,48762,48849,48861,48863,37845,48848,48859,48867,37845,48849,
+48851,48871, 2,48849,48355,48875,47853,48875, 2,48848,48353,48881,
+ 5,46863, 374,48884, 374,48885, 375,48884,48889,48891,19381,48885,
+19380,48884,48895,48897,19381,48884,19380,48885,48901,48903,20812,48884,
+20813,48884,20812,48885,48909,48911, 1197,48885,21604,48915,21604,48914,
+21605,48915,48919,48921,21605,48914,48917,48925, 375,48885,48887,48929,
+20813,48885,48907,48933,20501,48885, 1011,48937,27021,48885, 483,48941,
+ 9195,48885, 483,48945, 9377,48885, 483,48949, 9875,48885, 1011,48953,
+ 587,48885, 483,48957, 1369,48885, 1011,48961,38057,48961,20763,48885,
+ 483,48967, 903,48885, 375,48971, 483,48884,27021,48975, 9195,48975,
+20501,48975, 9377,48975, 9875,48975, 587,48975,20763,48975,18967,48885,
+ 483,48991, 165,48991, 2,48884,48961,48997, 3,48884,13118,49000,
+ 4862,49000,13118,49001,13119,49000,49007,49009, 4863,49000, 4862,49001,
+49013,49015,15193,49001,15475,49001,15579,49001,13507,49001,20501,49001,
+ 253,49001,15437,49001, 8997,49031,20219,49001,37019,49001,19513,49001,
+35843,49001,20697,49001,37377,49001,13119,49001,49003,49047, 4863,49001,
+49005,49051, 241,49001, 9875,49001, 53,49001, 1471,49001, 8401,49001,
+ 9955,49001,10273,49001, 4137,49001, 3863,49001, 4063,49001, 1369,49001,
+18967,49001, 483,49077, 2,48885, 1,49081, 7,49082,49000,49084,
+49001,49085,49087,49089,49000,49085,49001,49084,49093,49095, 7,49081,
+ 1,49098,49000,49100,49001,49101,49103,49105,49000,49101,49001,49100,
+49109,49111, 1,49080, 7,49115, 7,49080,49001,49119, 0,49080,
+49083,49123, 7,49125,49001,49127, 0,49081,49116,49131,49001,49133,
+ 7,49131,49115,49136,49001,49139,49001,49137,49115,49143,49115,49131,
+ 7,49146,49001,49149,49001,49081, 3,48885,37357,49155, 165,49155,
+10257,49155, 483,49155,35187,48885, 375,49165, 9,48885, 1,49168,
+ 3,49171,46863,49172,46863,49171, 3,49176, 3,49177,37845,49169,
+37845,49168,37844,49168,49183,49187,37844,49169,49185,49191, 2,49168,
+49175,49195,49179,49195, 2,49169,49181,49201, 3,46863,49171,49204,
+49195,49207, 6,49205, 11,49211, 0,49205, 0,49204,40704,49217,
+38305,49217, 9,49220, 9,49217,38305,49224, 6,49204,40705,49229,
+49217,49231,49219,49229,18967,49229, 4,49236, 5,49236, 5,49237,
+ 4,49237,46863,49244,49241,49247,46863,49237, 4,49250,49241,49253,
+ 4,49251,49243,49257,49227,49229, 17,49229,49223,49229,37325,49205,
+ 903,49267,10107,49204,48875,49271,10219,49205, 903,49275,17049,49204,
+ 1369,49279, 11,49205, 25,49283, 9,49283, 17,49205, 903,49289,
+21315,49289,37409,49205, 9,49295, 1011,49205, 375,49299, 9,49204,
+ 11,49303,37409,49303, 11,49204, 33,49309,35187,49205, 1505,49313,
+ 4,49204,49289,49317, 5,49204,13118,49320, 4862,49320,13118,49321,
+13119,49320,49327,49329, 4863,49320, 4862,49321,49333,49335,15193,49321,
+15475,49321,15579,49321,13507,49321,20501,49321, 253,49321,15437,49321,
+ 8997,49351,37019,49321,20219,49321,35843,49321,19513,49321,37377,49321,
+20697,49321,13119,49321,49323,49367, 4863,49321,49325,49371, 241,49321,
+ 9875,49321, 1471,49321, 53,49321, 8401,49321,10273,49321, 9955,49321,
+ 4137,49321, 4063,49321, 3863,49321, 1369,49321,18967,49321, 483,49397,
+ 4,49205, 1,49401, 7,49402,49320,49404,49321,49405,49407,49409,
+49320,49405,49321,49404,49413,49415, 7,49401, 1,49418,49320,49420,
+49321,49421,49423,49425,49320,49421,49321,49420,49429,49431, 1,49400,
+ 7,49435, 7,49400,49321,49439, 0,49400,49403,49443, 7,49445,
+49321,49447, 0,49401,49436,49451,49321,49453, 7,49451,49435,49456,
+49321,49459,49321,49457,49435,49463,49435,49451, 7,49466,49321,49469,
+49321,49401, 5,49205,20645,49475, 1505,49475, 9935,49475,18967,49205,
+ 7,49483, 4,49484, 4,49485, 16,49483, 17,49483, 4,49482,
+49493,49495, 5,49482,49487,49499,49491,49499, 4,49483, 7,49504,
+49499,49507, 5,49483,49489,49511, 2,46863, 6,49515, 17,49517,
+35187,49519, 0,49515,38305,49523, 15,49525, 0,49514,36545,49529,
+49521,49529, 15,49529, 6,49514,49531,49537,36544,49537,49529,49541,
+49527,49537, 11,49537,35187,49546,49529,49549,35187,49537, 11,49552,
+49529,49555,45639,49514,46599,49559,45639,49515,46275,49563,17125,49515,
+ 16,49567, 16,49566, 17,49567,49571,49573, 17,49566,49569,49577,
+17049,49514, 4,49514, 7,49583, 1,49585, 265,49583, 1,49588,
+ 0,49588,49587,49589,49586,49588,49595,49597,49587,49588,49586,49589,
+49601,49603, 0,49589,49591,49607, 1,49589,49593,49611, 4,49515,
+ 1011,49615, 1,49617, 0,49617, 1,49616,49621,49623, 0,49616,
+49619,49627, 4,46863,27857,49630,27895,49633,19815,49630,19857,49637,
+49237,49631,49239,49641,49237,49630,49241,49645,32805,49630,34447,49649,
+32805,49631,34003,49653,27857,49631,27879,49657,19815,49631,19849,49661,
+ 2,49630, 7,49665, 1,49667, 265,49665, 1,49670, 0,49670,
+49669,49671,49668,49670,49677,49679,49669,49670,49668,49671,49683,49685,
+ 0,49671,49673,49689, 1,49671,49675,49693, 2,49631, 903,49697,
+ 1,49699, 0,49699, 1,49698,49703,49705, 0,49698,49701,49709,
+ 1, 7, 377,49713,48110,49712,48111,49712,49152,49712,49472,49712,
+49153,49712,49473,49712,49374,49712,49054,49712,49375,49712,49055,49712,
+ 704,49712, 100,49712,26502,49712,41376,49712, 8808,49712,47622,49713,
+47660,49713,47146,49713,47148,49713,49059,49713,49379,49713,49158,49713,
+49478,49713,49061,49713,49381,49713,48998,49713,49318,49713,47224,49713,
+47226,49713,48041,49713,48039,49713,47058,49713,47060,49713,47220,49713,
+47222,49713,48047,49713,47056,49713,47442,49713,49349,49713,49029,49713,
+49121,49713,49441,49713,47628,49713,47668,49713,48962,49713,49290,49713,
+22798,49713,39074,49713,31498,49713,44616,49713,31392,49713,44494,49713,
+47540,49713,47532,49713,31794,49713,44858,49713,48298,49713,48288,49713,
+31924,49713,44994,49713, 8652,49713, 8535,49713,13252,49713,43989,49712,
+41417,49843,30655,49712,26219,49847,26503,49712,41377,49712, 8809,49712,
+26547,49712,26219,49857,41835,49712,41417,49861, 273,49712,12897,49865,
+ 8813,49712, 8647,49869, 376,49713, 705,49712, 101,49712, 803,49712,
+ 483,49879,30091,49712,26219,49883, 113,49712, 9,49887,43503,49712,
+41417,49891,43215,49712, 483,49895,43214,49712, 112,49712, 802,49712,
+49320,49712,49401,49905, 241,49905,49000,49712,49081,49911, 241,49911,
+49081,49712,49001,49916,49001,49917,49911,49921,49401,49712,49321,49924,
+49321,49925,49905,49929,49001,49712,49081,49932, 241,49932,49321,49712,
+49401,49938, 241,49938, 414,49713,18391,49945, 420,49713,18391,49949,
+ 449,49713,18391,49953, 8808,49713,49855,49957, 8453,49713,46863,49960,
+20239,49713,46863,49964,37095,49713,46863,49968,47976,49713,47593,49713,
+26502,49713,49851,49977,31921,49713,47592,49713, 8495,49983, 828,49713,
+49903,49987, 128,49713,49901,49991, 705,49713,49737,49995, 101,49713,
+49739,49999,47977,49713, 8495,50003,47488,49713,48122,49713,48480,49713,
+48440,49713,47568,49713, 1344,49713, 1482,49713, 64,49713, 1484,49713,
+ 336,49713, 1480,49713, 254,49713, 1342,49713, 338,49713, 1123,49713,
+ 931,49713, 665,49713, 1417,49713, 1429,49713, 1301,49713, 1127,49713,
+ 941,49713, 523,49713, 1283,49713, 939,49713, 1103,49713, 171,49713,
+ 1525,49713, 407,49713, 1517,49713, 949,49713, 280,49713, 1476,49713,
+ 272,49713, 1017,49713, 1077,49713, 1047,49713, 1113,49713, 1245,49713,
+ 1237,49713, 501,49713, 433,49713, 929,49713, 591,49713, 915,49713,
+ 681,49713, 1555,49713, 911,49713, 1545,49713, 855,49713,41376,49713,
+49853,50107, 4900,49713,14622,49713,48113,49713, 8997,50115, 1382,49713,
+ 695,49713,48286,49713, 903,50122,48294,49713, 1011,50126,26503,49713,
+49741,50131,47530,49713, 903,50134,47538,49713, 1011,50138,49289,49713,
+49317,50142, 903,50142,48961,49713,48997,50148, 1011,50148,21522,49713,
+46863,50154,38266,49713,46863,50158, 394,49713, 299,49713,31792,49713,
+ 903,50166,44856,49713, 1011,50170,22789,49713, 903,50174,39065,49713,
+ 1011,50178, 1386,49713, 545,49713,41377,49713,49743,50187, 413,49712,
+ 8647,50191,18062,50191,17993,50191, 251,50196, 251,50191,17993,50200,
+46863,50191, 412,49712,48008,49713,50207,50209,49717,50209, 341,50209,
+40381,49713, 17,50217, 913,49713, 483,50221, 289,49713, 8809,49713,
+49745,50227,49000,49713,49935,50231,49919,50231,49721,50231,49731,50231,
+49937,50231,49933,50231,49081,50243, 241,50243,49320,49713,49941,50249,
+49927,50249,49723,50249,49729,50249,49943,50249,49939,50249,49401,50261,
+ 241,50261, 1374,49713, 8672,49713,12534,49713,12921,49713, 264,50273,
+ 265,50272,50275,50277, 264,50272, 265,50273,50281,50283, 8605,49713,
+26097,49713,41299,49713,26277,49713,41479,49713,26104,49713,41314,49713,
+ 1477,49713,46863,50300, 281,49713,46863,50304, 1516,49713,46863,50308,
+ 948,49713,46863,50312,44988,49713, 903,50316,31920,49713, 1011,50320,
+43293,49713,49895,50325,15156,49713, 264,50329, 265,50328,50331,50333,
+ 264,50328, 265,50329,50337,50339, 8916,49713,14623,49713, 8495,50345,
+ 4901,49713, 8495,50349,14611,49713, 241,50352, 4899,49713, 241,50356,
+15219,49713, 412,50360, 413,50361,50363,50365, 412,50361, 413,50360,
+50369,50371, 5119,49713, 412,50374, 413,50375,50377,50379, 412,50375,
+ 413,50374,50383,50385,13177,49713, 413,50388, 264,50388, 264,50389,
+ 265,50388,50395,50397, 265,50389,50393,50401, 5313,49713,12377,50404,
+47591,49713, 265,50409, 8861,50411, 265,50408, 8495,50415,47641,49713,
+43292,49713,49899,50421,15158,49713,39228,49713,23012,49713,40676,49713,
+25546,49713, 500,49713,18391,50435, 432,49713,18391,50439, 1244,49713,
+18617,50443, 1236,49713,18617,50447, 1109,49713, 903,50451, 1412,49713,
+ 305,50455,44832,49713,31770,49713,25545,49713, 9,50462,40675,49713,
+ 483,50466, 935,49713, 483,50471, 1087,49713, 9,50475, 1413,49713,
+ 295,49713, 1290,49713, 903,50483, 1304,49713, 9,50487,48009,49713,
+50191,50491,49719,50491, 241,50491,22957,49713, 903,50498,39205,49713,
+ 1011,50502,47608,49713, 1505,50506,21315,50506,47640,49713, 165,50512,
+38057,50512, 510,49713,46863,50518, 922,49713, 1108,49713, 1280,49713,
+ 9,50527, 246,49713, 483,50531, 412,49713,47460,50535, 483,50535,
+ 9,50535, 8997,50535,46863,50542,46863,50535, 8997,50546, 1216,49713,
+44243,50550,31103,50550, 483,50550,18617,50557, 9,50550,18617,50561,
+ 8677,49713, 305,49713, 241,50567,16163,50567, 8647,50566, 8495,49713,
+ 257,50574, 1141,49713,16531,50579, 253,49713, 59,50582, 1325,50582,
+ 331,50582, 265,50582, 8634,49713, 8611,49713,41349,49713,26127,49713,
+ 273,49713,12705,50601,13673,50601,18391,50601, 2923,50601,46863,50600,
+ 331,49713, 53,50612, 1471,50612, 253,50612, 1369,50612, 8861,49713,
+ 241,50623, 375,50625, 375,50622, 251,49713, 413,50631,17993,50633,
+ 413,50630,18391,50637,15029,50630, 264,50641, 265,50640,50643,50645,
+ 264,50640, 265,50641,50649,50651,39204,49713, 257,49713, 265,50657,
+26625,50657,25793,50657,41019,50657, 8495,50657, 9731,50657,25793,50656,
+41019,50656, 8495,50656, 265,50656, 4863,50677,12377,49713,46863,50680,
+ 5313,50680, 341,49713, 241,50687, 298,49713, 4863,50691, 704,49713,
+49875,50695, 9195,50695, 100,49713,49877,50701, 395,49713, 829,49713,
+49879,50707, 9195,50707, 129,49713,49887,50713, 89,49713,48884,50716,
+48884,50717,48885,50717,50719,50723,48885,50716,50721,50727, 11,50716,
+ 567,49713,42155,50733,41941,50733, 7971,50733, 9565,50733, 587,50733,
+ 9377,50743, 587,50732, 9195,50747,38057,49713,47640,50750,46863,50750,
+ 903,50754, 903,50750,46863,50758,21315,49713,47608,50762,46863,50762,
+ 1011,50766, 1011,50762,46863,50770, 628,49713, 1396,49713, 241,50777,
+ 288,49713, 7971,50781, 265,49713,23584,50785,39564,50785,24355,50785,
+39905,50785, 5520,50785, 256,50784,50795,50797, 5521,50785, 256,50785,
+50204,50785, 10,50784, 1,50785, 257,50808,50797,50811, 257,50809,
+50803,50815, 10,50785,50191,50785,46863,50820,47590,50784,23493,50785,
+22807,50826,39489,50785,39085,50830,22807,50785,23493,50834,39085,50785,
+39489,50838, 1087,50785, 935,50785,47591,50784, 8495,50847,47590,50785,
+50847,50851, 4213,50785, 8757,50785,26415,50785,41653,50785,27377,50785,
+ 9335,50785,42471,50785, 8109,50785, 4147,50785, 3933,50785, 53,50784,
+ 1471,50784, 253,50784,47591,50785,50825,50881, 257,50785, 1,50884,
+50797,50887,50797,50885, 4827,50885, 305,50785, 8861,50895, 8495,50785,
+ 331,50899,46863,50785,50191,50902, 241,50902, 241,50785,46863,50908,
+ 8337,50909,46863,50913, 1369,50784, 305,50917, 11,50785,50807,50921,
+ 8165,50921, 1369,50921, 241,50784,47460,50929, 483,50929, 9,50929,
+ 8997,50929,46863,50936,46863,50929, 8997,50940, 257,50784,50801,50945,
+50803,50945, 4863,50945, 11,50784,50819,50953, 7971,50953, 1011,49713,
+31920,50958,48294,50958,44856,50958,47538,50958,48961,50958,39065,50958,
+21315,50958,46863,50972,31103,50958, 903,50976, 1505,50958,46863,50980,
+44243,50958, 903,50984,39205,50958, 9,50958, 903,50958,31103,50992,
+44243,50992,46863,50958,21315,50998, 1505,50998, 903,49713,44988,51004,
+48286,51004,31792,51004,47530,51004,49289,51004,22789,51004,38057,51004,
+46863,51018,44243,51004, 1011,51022, 165,51004,46863,51026,31103,51004,
+ 1011,51030,22957,51004, 483,51004, 1011,51004,44243,51038,31103,51038,
+46863,51004,38057,51044, 165,51044, 241,49713,47961,51050, 4899,51050,
+14611,51050, 375,51050,12377,51051, 375,51061, 8997,51051, 375,51065,
+ 265,51065,46863,51069, 1275,51050, 9,51073, 15,51050, 483,51077,
+ 265,51050,47460,51081, 483,51081, 9,51081, 8997,51081,46863,51088,
+46863,51081, 8997,51092, 8647,49713, 413,51096, 305,51097, 11,51097,
+ 1369,51097, 341,51097, 305,51096,41417,49713, 11,51111, 1369,51111,
+26219,49713, 11,51117, 1369,51117,32102,49713,27021,51123,45148,49713,
+ 11,51127, 1369,51127,31857,49713,44925,49713,32294,49713,45314,49713,
+17565,49713,32103,49713, 241,51143, 587,51142,45149,49713, 11,51148,
+49317,49713,49289,51152,48997,49713,48961,51156,49001,49713,49912,51161,
+49725,51161,49914,51161,49735,51161,49081,51161,49911,51170,49911,51161,
+49081,51174, 241,51174, 241,51161,49911,51180,49321,49713,49906,51185,
+49727,51185,49908,51185,49733,51185,49401,51185,49905,51194,49905,51185,
+49401,51198, 241,51198, 241,51185,49905,51204,49475,49713, 1505,51208,
+49155,49713, 165,51212, 240,49712,51059,51217,50163,51217,50165,51217,
+51051,51217, 375,51225, 264,49712,49715,51229,50838,51229,50834,51229,
+50850,51229,50847,51229,50945,51229,49983,51229,50415,51229,50677,51229,
+50691,51229,50496,51229,50003,51229,50906,51229,50910,51229,50345,51229,
+50349,51229, 8374,51229, 8389,51229,50705,51229,20152,51229,36898,51229,
+20201,51229,36979,51229,50902,51229, 241,51276,50908,51229,46863,51280,
+50491,51229, 241,51284,47590,51229,50785,51288,22807,51229,50785,51292,
+39085,51229,50785,51296,26219,51229,41417,51229,14524,51229,35690,51229,
+50733,51229,37519,51229,50781,51229,50953,51229,50455,51229,50917,51229,
+19396,51229, 8647,51229,20103,51229, 375,51324,36773,51229, 375,51328,
+ 8337,51229, 375,51332,50785,51229,39085,51336,22807,51336,47590,51336,
+46863,51336, 241,51344, 241,51336,46863,51348,47488,51229,47961,51229,
+ 9,51229,18967,51356, 483,51229,35187,51229, 375,51362,18967,51229,
+ 9,51366,46863,51229,50908,51370,50785,51370, 241,51374, 241,51370,
+50785,51378, 375,51370, 241,51229,50491,51384,50902,51384,50785,51384,
+46863,51390,46863,51384,50785,51394, 375,51229, 8337,51398,20103,51398,
+36773,51398,14315,51398,35187,51398,46863,51398,14315,51229, 375,51412,
+ 4899,51229,14611,51229, 1010,49712, 3867,51421, 8277,51421, 4067,51421,
+ 3997,51421, 8953,51421, 9459,51421, 902,49712,50321,51435,51031,51435,
+24265,51435,28233,51435,29077,51435,51005,51435,31103,51447,19559,51435,
+ 4283,51435, 9673,51435, 4279,51435, 3807,51435,20361,51435,20713,51435,
+ 9967,51435, 8251,51435,47961,49713, 241,51468,47979,49713, 412,51472,
+ 413,51473,51475,51477, 412,51473, 413,51472,51481,51483, 240,49713,
+ 340,51487,51398,51487,51418,51487,51416,51487,51354,51487,47974,51487,
+47589,51487, 8590,51487,12537,51487,14620,51487, 375,51487,51229,51508,
+ 7,51487, 265,51512, 265,51513,51229,51517,47580,51487, 8861,51521,
+47961,51487,51229,51524, 8495,51524,51229,51487, 375,51530,14611,51530,
+ 4899,51530,47961,51530, 8495,51487, 4899,51540,47961,51540,14611,51540,
+14611,51487,51229,51548, 8495,51548, 4899,51487,51229,51554, 8495,51554,
+46863,51487, 265,51560, 8861,51563, 265,51561, 8495,51567,51229,51567,
+ 265,51487, 7,51572,15309,51573,15308,51572,51577,51579,15308,51573,
+15309,51572,51583,51585,46863,51572, 8861,51589, 902,49713,31103,51593,
+43053,51593,46863,51593, 1010,49713, 1505,51601, 918,51601, 9,51601,
+ 903,51606, 903,51601, 9,51610, 265,49712,49873,51615,50165,51615,
+51059,51615,51057,51615,51055,51615,51053,51615,49975,51615,49973,51615,
+50113,51615,50111,51615,50163,51615,51471,51615,50355,51615,50359,51615,
+50209,51615, 241,51645, 8948,51615,50225,51615,50479,51615, 331,51615,
+ 8861,51654, 8861,51615, 331,51658, 4827,51615,15269,51615,51051,51615,
+ 375,51667,14611,51667, 4899,51667,47961,51667, 241,51614,50209,51677,
+ 241,49712,18300,51681, 8605,51681, 8916,51681,50945,51681,49321,51680,
+50249,51691,49001,51680,50231,51695,50705,51681, 8374,51681,51508,51681,
+50691,51681,47443,51681, 8389,51681,50677,51681,51517,51681, 8861,51681,
+ 375,51714,26219,51681,41417,51681, 305,51681,48009,51681,51229,51725,
+ 8647,51681, 8452,51681,46863,51731, 713,51681, 25,51681,18257,51681,
+ 375,51738, 8337,51681, 375,51742, 265,51742,46863,51747, 375,51681,
+18257,51750, 8861,51750, 8337,51750,51487,51750,51487,51681, 375,51760,
+ 265,51680,50209,51765,49321,51681,49905,51769,49001,51681,49911,51773,
+ 265,51681,51370,51777,51229,51777,46863,51780,46863,51777,51229,51784,
+ 8337,51776,46863,51789,46863,51681, 264,51792,51765,51795, 264,51793,
+51777,51799, 264,49713,51489,51803,51515,51803,51575,51803,51521,51803,
+50411,51803,50659,51803,51563,51803, 8471,51803, 8397,51803, 8371,51803,
+20149,51803,36887,51803,20211,51803,37009,51803,20247,51803,37103,51803,
+51589,51803,50207,51803,46863,51839,51765,51803,46863,51843,51677,51803,
+46863,51847,36773,51803,46863,51851,20103,51803,46863,51855, 8337,51803,
+46863,51859, 4613,51803,12571,51803,36539,51803,37595,51803,36049,51803,
+47581,51803,51487,51873,51615,51803,39085,51877,22807,51877,47590,51877,
+46863,51877, 241,51884, 241,51877,46863,51888,46863,51802,51765,51893,
+51677,51893,50207,51893,51615,51893, 241,51901, 341,51893, 1369,51803,
+ 341,51803,51487,51909, 8337,51909,20103,51909,36773,51909,35187,51909,
+14315,51909,46863,51909,12377,51803, 375,51925, 1011,49712,26219,51929,
+41417,51929, 8647,51929, 903,49712,49981,51937,51594,51937, 375,51937,
+31103,51937,51593,51944,51593,51937,31103,51948,15269,51937, 4827,51937,
+ 1217,49713, 483,51957, 9,51957, 413,49713, 8647,51962,13177,51962,
+ 251,51962,18391,51969, 375,51962,18391,51973,44243,51962,31103,51962,
+18391,51963, 251,51981, 483,51962,18391,51985, 9,51962,18391,51989,
+ 375,49713, 5,51992,51615,51995, 413,51993,17993,51999, 413,51992,
+18391,52003, 241,51993,51487,52007,46863,51992, 241,51992,51217,52013,
+51615,52013, 8861,51992,12377,51993,51487,52021,15029,51992,14315,49713,
+ 341,52027,51487,52029,15029,49713, 266,52032, 267,52032, 264,52033,
+52035,52039, 465,52032,52039,52043, 413,52032, 6,52046, 264,52032,
+ 251,52051, 241,52051, 6,52055, 265,52033, 251,52059,52051,52060,
+ 8841,52059,52037,52059,52052,52059,52051,52059, 251,52070,15363,52059,
+15055,52059,15061,52059,52049,52059,52057,52059, 265,52032, 251,52084,
+52039,52087,52039,52085, 251,52091, 251,52032, 265,52094,52039,52097,
+ 265,52095,52051,52101, 375,52032, 8639,49713, 8643,49713,26217,49713,
+41415,49713, 164,49713,51593,52115, 903,52115, 1504,49713,51601,52121,
+ 144,49713, 113,52125, 802,49713,49880,52129,49879,52129, 483,52132,
+ 9366,52129, 9195,52129, 483,52138, 483,52129,49879,52142, 9195,52142,
+31103,52129, 112,49713,49888,52151,49887,52151, 9,52154, 9,52151,
+49887,52158,44243,52151, 1486,49713, 803,52165,43214,49713,49896,52169,
+49895,52169, 483,52172, 483,52169,49895,52176, 1073,49713, 903,52181,
+ 525,49713, 903,52185, 669,49713, 483,52189, 566,49713,51929,52193,
+51615,52193,10107,52193,21036,49713, 17,52201, 88,49713,37611,52205,
+36083,52205,38155,52205,35927,52205, 1346,49713, 1505,52215, 154,49713,
+ 483,52219,26329,49713,41557,49713, 165,49713,49155,52226,47640,52226,
+46863,52226, 903,52232, 903,52226,46863,52236,43215,52226, 1505,49713,
+49475,52242,47608,52242,46863,52242, 1011,52248, 1011,52242,46863,52252,
+28715,52242, 803,49713,49903,52259, 483,52261, 483,52258,49903,52265,
+ 113,49713,49901,52269, 9,52271, 9,52268,49901,52275,28715,49713,
+ 1505,52278,43215,49713,49899,52283, 483,52285, 483,52282,49899,52289,
+ 165,52282,29028,49713,43318,49713,25793,49713, 257,52298, 713,49713,
+ 241,52303,16163,52303,41019,49713, 257,52308, 25,49713, 241,52313,
+16163,52313, 1447,49713,16531,52319, 33,49713,16531,52323, 1471,49713,
+ 59,52326, 1325,52326, 331,52326, 265,52326, 53,49713, 1325,52336,
+ 59,52336, 331,52336, 265,52336, 1325,49713, 53,52346, 1471,52346,
+ 253,52346, 1369,52346, 59,49713, 1471,52356, 53,52356, 253,52356,
+ 1369,52356,48466,49713, 483,52366,48408,49713, 9,52370, 843,49713,
+ 9,52375, 1530,49713, 9,52379,40436,49713, 113,52383, 587,49713,
+28714,52387,36212,52387,30091,52387, 567,52386, 9195,52395, 11,52386,
+32103,52386,35187,52387, 241,52402, 241,52387,35187,52406, 4,52386,
+ 9366,52411, 9195,52411, 483,52414, 483,52411, 9195,52418,31103,52411,
+ 5,52387,21605,52424, 9195,52425,27021,52425,21605,52387, 11,52433,
+ 5,52432, 11,49713,32805,52439,19888,52439,19913,52439, 265,52439,
+51803,52447,43503,52439, 1275,52438, 9,52453, 89,52438, 587,52438,
+ 265,52438,51229,52461, 7971,52461,45149,52438,18967,52439, 241,52468,
+ 241,52439,18967,52472, 2,52438, 9,52477,44243,52477, 3,52439,
+ 7971,52483,42155,52483, 2,52439,52205,52489,38305,52439, 265,52493,
+38305,52438, 113,52497, 1369,49713, 331,52500, 59,52500,40674,52501,
+38305,52501, 265,52509, 241,52508, 241,52501,38305,52514, 1325,52500,
+ 265,52500,51229,52521, 305,52521, 17,52500, 241,52527,38305,52500,
+35187,52501, 265,52501, 331,52535,51803,52535, 4,52500,51601,52541,
+ 5,52500, 803,52545, 5,52501, 959,52549, 47,52549, 759,52549,
+ 4,52501, 1275,52500, 9,52559, 17,49713, 1275,52562, 903,52565,
+ 1369,52562, 241,52569, 2,52562, 903,52573,51593,52573, 3,52562,
+ 113,52579, 3,52563, 1141,52583, 1447,52583, 33,52583, 2,52563,
+ 265,52591,51803,52591,38305,49713, 1369,52596, 3,52596, 3,52597,
+ 8165,52603,20501,52603, 9875,52603, 11,52603, 11,52596, 113,52613,
+ 15,49713, 1010,52617, 1010,52616, 1011,52616,52619,52623, 1011,52617,
+52621,52627, 241,52616, 483,52631, 3,52616, 483,52635, 3,52617,
+ 1369,52639, 1275,49713, 17,52642, 903,52645, 11,52642, 9,52649,
+ 241,52642, 9,52653, 9,52643, 1369,52657, 11,52657, 5,52642,
+ 1505,52663, 5,52643, 53,52667, 1471,52667, 253,52667, 1369,52642,
+ 9,52675,18967,49713, 241,52679, 9,52681, 5,52678, 17,52685,
+ 5,52679, 9,52689, 483,49713, 803,52693,52129,52695,43215,52693,
+52169,52699, 1216,52693,18759,52703, 413,52693,17993,52707, 803,52692,
+49903,52711,48466,52692,43215,52692,49899,52717,40675,52692, 1216,52692,
+18617,52723, 413,52692,18391,52727,44243,52692,38305,52693,46169,52733,
+ 9,52692,46863,52736, 903,52692, 5,52692,10107,52743,51929,52743,
+51615,52743, 5,52693,46863,52692, 9,52752, 9,49713, 113,52757,
+52151,52759, 4,52756, 7,52763, 2,52765, 2,52764, 2,52763,
+ 7,52770, 1368,52763, 1216,52757,18759,52777, 413,52757,17993,52781,
+ 113,52756,49901,52785,48408,52756,25545,52756, 1216,52756,18617,52793,
+ 413,52756,18391,52797,31103,52756, 483,52756,46863,52802, 1011,52756,
+ 3,52756,52769,52809,52773,52809,37611,52809,38155,52809,35927,52809,
+52489,52809,52775,52809, 3,52757,52767,52825,52151,52825,37663,52825,
+52477,52825,31103,52825,46863,52756, 483,52836,31103,49713, 1216,52840,
+ 413,52840,21036,52840,21037,52840,21037,52841,52847,52851, 903,52841,
+51593,52855, 1011,52840, 903,52858,21036,52841,52849,52863, 903,52840,
+51435,52867, 1011,52866, 9,52840, 5,52840,27021,52875,44243,49713,
+ 1216,52878, 413,52878, 903,52878, 1011,52884, 1011,52878, 903,52888,
+ 483,52878, 3,52878, 11,52895, 1369,52895, 3,52879, 483,52901,
+49205,49713, 5,52905,48885,49713, 113,52909, 3,52909, 3,49712,
+20819,52915,50945,52915,51508,52915,37537,52915,36898,52915,20152,52915,
+ 8374,52915,50695,52915,50701,52915,50707,52915,50713,52915,50691,52915,
+50705,52915,37748,52915,20952,52915,52395,52915,52457,52915,52142,52915,
+52158,52915, 8389,52915,50677,52915,51517,52915,50747,52915,50731,52915,
+52418,52915,52478,52915,36979,52915,20201,52915,26219,52915,26106,52915,
+52129,52915, 483,52976,52411,52915, 483,52980,51123,52915,32103,52915,
+52875,52915,31770,52915,42885,52915,20885,52915, 483,52994,40399,52915,
+44714,52915, 357,52915, 367,52915, 471,52915, 1249,52915, 8800,52915,
+ 8647,52915,47488,52915, 8086,52915,19687,52915,19559,52915,20361,52915,
+ 9673,52915,20713,52915, 9967,52915, 4283,52915, 4279,52915, 3807,52915,
+ 8251,52915,41746,52915,41417,52915,44832,52915, 9704,52915,20326,52915,
+21087,52915,52906,52915,48245,52915,48975,52915,48451,52915,52151,52915,
+ 9,53058,52477,52915, 9,53062,51487,52915, 375,53066,50785,52915,
+ 8165,52915, 265,53073, 1447,52915,38305,53077,21127,52915,20843,52915,
+52425,52915,37663,52915, 9,53086, 1141,52915,38305,53091, 566,52915,
+ 567,52915,46863,53097,44243,52915,41941,53100, 483,53100, 375,52915,
+51487,53106,20103,53106, 8337,53106,36773,53106,46863,53106,41941,52915,
+44243,53118, 33,52915,38305,53123, 9617,52915, 9,53126, 8337,52915,
+ 375,53130,48884,52915, 1011,52915,48885,52915, 483,53139,52907,52915,
+ 25,52915, 7971,53144,41019,52915, 11,53148, 305,52915, 8495,52915,
+ 11,53154,20103,52915, 375,53158,20273,52915, 9,53162, 4,52915,
+28411,53167,31103,53167,48408,53167,52905,53167, 483,53167,46863,53176,
+20691,53167, 9923,53167,46863,53167, 483,53184, 5,52915,52905,53188,
+ 17,53189,18967,53193,46863,53188, 483,53188,25793,52915, 11,53200,
+ 713,52915, 7971,52915, 25,53206,36773,52915, 375,53210, 4,52914,
+53191,53215,53051,53215,24265,53215,28233,53215,29077,53215,53135,53215,
+53197,53215,53189,53215,52905,53231,46863,53231,19559,53215, 9673,53215,
+ 4283,53215,20361,53215, 9967,53215,20713,53215, 8251,53215, 4279,53215,
+ 3807,53215, 5,52914,53143,53255,53174,53255,50785,53255,53139,53255,
+53184,53255,50733,53255,19396,53255,53167,53255,52905,53270,46863,53270,
+ 8647,53255,41417,53255,26219,53255, 9,53255,18967,53282, 483,53255,
+18967,53255, 9,53288,52905,53255,53167,53292,46863,53255,53167,53296,
+ 11,52915,25793,53301,25793,53300, 8495,53301, 8495,53300,18967,53301,
+41019,53301,41019,53300,21037,53301, 9,52915,52151,53318,37663,53318,
+52477,53318,31103,53318,20273,53318, 9617,53318,52905,52915, 5,53332,
+53215,53335, 5,53333,53167,53339, 9875,52915,35187,53343, 241,53343,
+46863,52915, 375,53348, 5,53348,53215,53353, 5,53349,53167,53357,
+ 483,52915,52129,53360,20885,53360,52411,53360,44243,53360, 5,53361,
+ 5,53360,18967,52915,11731,53375, 113,53375,31103,52915, 9,53380,
+20501,52915,35187,53385, 241,53385, 2,49712,52711,53391,52785,53391,
+51059,53391,50165,53391,49995,53391,49999,53391,49987,53391,49991,53391,
+50163,53391,52013,53391,52265,53391,52275,53391,17609,53391, 4904,53391,
+17586,53391,52259,53391, 483,53423, 272,53391, 1476,53391, 280,53391,
+ 949,53391, 1517,53391,52269,53391, 9,53437, 9484,53391,51803,53391,
+51051,53391, 375,53445, 4903,53391, 9,53448,17579,53391, 9,53452,
+42991,53391,40039,53391,40685,53391, 1197,53391, 265,53391, 253,53464,
+ 1471,53464, 53,53464, 53,53391, 265,53472, 253,53391, 265,53476,
+ 5,53391, 1471,53391, 265,53482, 5,53390, 8953,53487, 9459,53487,
+ 4067,53487, 3997,53487, 8277,53487, 3867,53487, 11,53391, 9377,53500,
+ 9,53391, 4903,53504,17579,53504, 9377,53391, 11,53510, 5,53511,
+ 5,49712,48765,53517,48835,53517,48843,53517,25445,53517,22779,53517,
+22243,53517, 7,53517, 2,53531,28063,53517,25299,53517,31598,53517,
+53152,53517,50733,53517,35690,53517,37519,53517,50781,53517,52461,53517,
+50953,53517, 272,53517, 1476,53517, 280,53517, 949,53517, 1517,53517,
+ 357,53517, 367,53517, 471,53517, 1249,53517, 9304,53517,53204,53517,
+53144,53517,35931,53517,52912,53517,20326,53517,21087,53517,20273,53517,
+ 9,53586,50785,53517, 1369,53591,53391,53591,25381,53517,48753,53597,
+10081,53597, 9704,53517, 53,53517, 265,53604,37899,53517,37617,53517,
+52483,53517, 9617,53517, 9,53614, 253,53517, 265,53618,31103,53517,
+26625,53622, 375,53517,35187,53626,26625,53517,31103,53630, 1471,53517,
+ 265,53634, 265,53517, 253,53638, 1471,53638, 53,53638,49204,53517,
+49205,53517,52913,53517, 713,53517, 9195,53652,52915,53652,21605,53653,
+ 305,53517,52915,53660,21605,53661, 2,53517, 8229,53667,52909,53667,
+46863,53667, 3,53517,52909,53674,53391,53675, 1369,53675,46863,53674,
+52915,53517, 305,53684, 713,53684, 25,53684, 25,53517,52915,53692,
+21605,53693, 9195,53517, 713,53698, 2,53516,53677,53703,53581,53703,
+53647,53703,53683,53703,53675,53703,52909,53713,46863,53713, 4067,53703,
+ 3997,53703, 8953,53703, 9459,53703, 8277,53703, 3867,53703, 3,53516,
+53651,53731,53670,53731,50785,53731,50733,53731,53649,53731,53672,53731,
+19396,53731,53667,53731,52909,53746,46863,53746, 8647,53731,26219,53731,
+41417,53731, 483,53731,18967,53731, 9,53760, 9,53731,18967,53764,
+52909,53731,53667,53768,46863,53731,53667,53772, 587,53517,35187,53777,
+ 483,53517,52909,53517, 3,53782,53703,53785, 3,53783,53667,53789,
+46863,53517, 3,53792,53703,53795, 3,53793,53667,53799, 9,53517,
+20273,53802, 9617,53802,35187,53517, 375,53808, 4,49712,48747,53813,
+37279,53813,19981,53813,24601,53813, 7,53813,21605,53823,53071,53813,
+52743,53813,52193,53813,50225,53813, 8306,53813, 545,53813, 695,53813,
+ 1382,53813, 1374,53813, 1386,53813,51906,53813,53442,53813,53199,53813,
+53373,53813,53095,53813,51803,53813, 1369,53856,53391,53856, 9992,53813,
+20734,53813,19916,53813,48739,53867,37241,53867, 7947,53867,28205,53813,
+24613,53813,25551,53813,53189,53813, 483,53881, 33,53813, 9875,53813,
+ 265,53886, 241,53887,20501,53813, 265,53892, 241,53893, 1141,53813,
+ 154,53813, 483,53901, 1447,53813, 331,53813, 1369,53906, 265,53813,
+ 8165,53910, 9875,53910,20501,53910, 1011,53813, 59,53813, 1369,53920,
+ 3,53813, 8241,53925, 15,53924, 483,53929,53391,53813,51803,53932,
+ 1325,53813, 1369,53936, 3,53812,24265,53941,28233,53941,29077,53941,
+ 9673,53941,19559,53941, 4283,53941,20361,53941, 8251,53941, 3807,53941,
+ 9967,53941,20713,53941, 4279,53941, 1369,53813, 331,53966, 1325,53966,
+ 59,53966,51803,53966,18967,53813, 1275,53976,48739,53979,37241,53979,
+ 7947,53979, 113,53977, 1275,53813,18967,53988,48739,53991, 7947,53991,
+37241,53991, 8165,53813, 265,53998,46863,53813,38056,54002,38056,54003,
+38057,54002,54007,54009,38057,54003,54005,54013, 15,53813, 3,54017,
+ 1369,54019, 3,54016, 483,54023, 5,49713, 375,54026,51615,54029,
+ 1368,54027, 7,54027, 2,54034, 2,54035,32805,54027,31103,54041,
+20035,54027, 375,54045, 341,54027,18967,54049,12377,54027, 375,54053,
+52915,54027,31103,54057,27021,54027,31103,54061,30091,54027,31103,54065,
+31103,54026,27021,54069,52915,54069,18967,54027,47608,54075,46863,54075,
+ 1011,54078, 1011,54075,46863,54082,53924,54027,53825,54087, 483,54087,
+51929,54027, 483,54093,51615,54027, 375,54097, 483,54097, 1369,54026,
+ 803,54103, 483,54026,53813,54107,10107,54107,51929,54107,51615,54107,
+ 1275,54026, 1505,54117,18967,54026, 17,54121, 1369,54027,51601,54125,
+ 2,54026,54078,54129,54075,54129,46863,54132,52541,54129, 1505,54129,
+ 918,54129,52121,54129,54125,54129, 903,54129, 9,54146, 9,54129,
+ 903,54150,46863,54129,54075,54154, 3,54026,54033,54159,54037,54159,
+53966,54159,12571,54159, 4613,54159,51615,54159, 8337,54159,46863,54173,
+52591,54159,53932,54159,53391,54159,53813,54180,53813,54159, 1369,54184,
+53391,54184,36773,54159,46863,54191,20103,54159,46863,54195, 1369,54159,
+53813,54198, 2,54027, 0,54202,54159,54205,46863,54207, 7,54202,
+54159,54211, 265,54203, 9,54215,54159,54203, 9,54219,46863,54219,
+ 3,54027,48286,54225,54039,54225,54150,54225,52573,54225,52115,54225,
+38057,54225,46863,54236,53813,54224,53825,54241, 483,54241, 9,54225,
+54129,54246, 483,54225,53813,54251,54154,54225,46863,54225,38057,54256,
+54129,54256,54129,54225, 9,54262,46863,54262,10107,54027, 483,54269,
+53813,54027, 483,54273, 3,54273, 1369,54277,53391,54277, 3,54272,
+53825,54283, 483,54283, 17,54027,20273,54289, 9617,54289, 3,49713,
+16722,54295,16530,54294,54297,54299,16723,54295,16531,54294,54303,54305,
+16530,54295, 1,54295,35187,54311, 17,54313, 7,54295,16531,54316,
+54299,54319,16531,54317,54309,54323, 15,54317,38305,54327, 1,54294,
+40705,54331,54329,54331, 17,54331, 7,54294,54333,54339,40704,54339,
+54331,54343,49713,54339, 4,54346, 4,54339,49713,54350,54315,54339,
+ 9,54339,38305,54356,54331,54359,38305,54339, 9,54362,54331,54365,
+52489,54295, 9,54369,36527,54295, 375,54373, 341,54295,12377,54295,
+ 9,54379,16531,54295, 7,54382,54299,54385,37611,54295, 9,54389,
+ 8321,54295,35927,54295, 9,54395,38155,54295, 9,54399,43503,54295,
+44243,54403, 113,54295,38305,54406,40086,54295, 8241,54295,44243,54294,
+ 11,54415, 1369,54415, 1486,54295,35187,54295,47640,54423,46863,54423,
+ 903,54426, 903,54423,46863,54430,53480,54295,11731,54295,51615,54295,
+ 241,54295, 17,54294, 113,54443,38305,54294, 9,54294,37611,54449,
+38155,54449,35927,54449,52489,54449, 15,54294, 483,54459, 11,54295,
+44243,54463,38305,54295, 113,54466,38057,54295, 7,54471, 375,54471,
+ 4,54294,54426,54477,54423,54477,46863,54480,52573,54477,54377,54477,
+52115,54477,43053,54477,46863,54477,54423,54492, 5,54294,54473,54497,
+ 6,54497,54471,54501,53966,54497,12571,54497, 4613,54497,51615,54497,
+ 8337,54497,46863,54513,52591,54497,53932,54497,53813,54497, 1369,54520,
+53391,54520,53391,54497,53813,54526,20103,54497,46863,54531,36773,54497,
+46863,54535, 1369,54497,53813,54538, 4,54295, 0,54542,54497,54545,
+46863,54547, 5,54295,48294,54551,21315,54551,46863,54554,53391,54550,
+ 1369,54550,46863,54551,21315,54562,53391,54295, 5,54567,53813,54569,
+ 5,54566, 1369,54295, 9893,54575,52129,54575,54353,54575,54349,54575,
+20885,54575,52411,54575,44243,54575, 5,54574, 5,54575,53813,54593,
+ 2,49713,53227,54597,53262,54597,53355,54597,53358,54597,53298,54597,
+53264,54597,53229,54597,53274,54597,53234,54597,49168,54597, 1,54597,
+ 7,54597, 567,54621,52915,54623, 4,54621,54575,54627,53360,54627,
+52915,54627, 483,54632, 483,54627,52915,54636, 9,54621, 1,54596,
+36544,54643,35187,54643, 11,54646, 11,54643,35187,54650, 7,54596,
+36545,54655,54643,54657,54645,54655,21605,54655,54653,54655,54649,54655,
+ 15,54655,53270,54597,46863,54670,53231,54597,46863,54674,49169,54597,
+54097,54597,53134,54597,53215,54683,53352,54597,53215,54687,53196,54597,
+53215,54691, 8311,54597,48884,54596,54617,54697,53731,54597,53881,54597,
+54283,54597,54241,54597,54087,54597,36256,54597,53296,54597,53167,54712,
+53184,54597,53255,54716,53167,54597,53357,54720,53296,54720,53255,54720,
+46863,54726,46863,54720,53255,54730,48885,54597, 9,54734,54697,54737,
+54697,54735, 9,54741,35187,54597, 9,54744, 9,54597,48885,54748,
+54697,54751,48885,54749,35187,54748, 11,54749,52915,54759,53188,54597,
+53215,54763,46863,54765,46863,54762,53215,54769,53813,54763,53139,54597,
+53255,54774,44243,54597, 11,54779,54225,54597,53813,54783,51229,54597,
+ 265,54597,54027,54789,47961,54791,14611,54791, 4899,54791, 375,54791,
+ 17,54596, 903,54801,51593,54801,54477,54801,54225,54801, 11,54596,
+53318,54811,52825,54811,52915,54811, 9,54816, 9,54811,52915,54820,
+44243,54811,53255,54597,53139,54826,53184,54826,53167,54826,46863,54832,
+46863,54826,53167,54836,53357,54597,53167,54840, 4,54596,51418,54845,
+51416,54845,51398,54845,51354,54845,51909,54845, 340,54845,51803,54857,
+51873,54845,47974,54845,47589,54845, 8590,54845,14620,54845,12537,54845,
+52021,54845,52029,54845,53106,54845, 375,54845,51229,54878,52915,54878,
+ 0,54845, 6,54885, 7,54845, 265,54888,51803,54891, 265,54889,
+51229,54895,52915,54895,47580,54845,51803,54901, 8861,54901, 8495,54845,
+47961,54906, 4899,54906,14611,54906,52915,54845, 375,54914,14611,54845,
+51229,54918, 8495,54918, 4899,54845,51229,54924, 8495,54924,47961,54845,
+51229,54930, 8495,54930, 265,54845, 7,54936,51803,54939,54887,54937,
+54886,54936,54943,54945,54887,54936,54886,54937,54949,54951,46863,54936,
+ 8861,54955,51803,54955,46863,54845, 265,54960,51803,54963, 8861,54963,
+ 265,54961,51229,54969, 8495,54969,51229,54845, 375,54974,14611,54974,
+ 4899,54974,47961,54974, 5,54596, 1505,54985, 918,54985,52541,54985,
+52121,54985,54125,54985, 903,54985, 9,54996, 9,54985, 903,55000,
+ 5,54597,54889,55005,52915,55007,53349,55004, 6,55005,54914,55013,
+52915,55013,54845,55016,54845,55013,52915,55020, 53,55005, 1471,55005,
+ 253,55005,52557,55005,53348,55004,53215,55033, 241,55005, 9,55037,
+52915,55004,53215,55041,46863,55043,46863,55040,53215,55047,53813,55041,
+ 17,55005,35187,55053,52915,55005,53357,55057,55011,55057,53296,55057,
+53255,55057,46863,55064,46863,55057,53255,55068,46863,55004,52915,55072,
+53215,55075,52915,55073,53255,55079,48885,54596,54679,55083, 9,55083,
+48884,54597,54755,55089,55086,55089,55083,55089, 9,55094,52915,55088,
+53215,55099,52915,55089,53255,55103, 9,55089,55083,55106,53348,54597,
+ 5,55110,53215,55113, 5,55111,53167,55117,52915,54597,48884,55120,
+53215,55123,48884,55121,53139,55127, 5,55121,53139,55131,53184,55131,
+53167,55131,46863,55136,46863,55131,53167,55140, 5,55120,53215,55145,
+46863,55147,46863,55144,53215,55151,53813,55145,46863,55120, 5,55156,
+53215,55159, 5,55157,53167,55163,21605,54597,54027,55167,31103,55169,
+46863,54597,53270,55172,53231,55172,53188,55172,53215,55179,53255,55172,
+53167,55182,53167,55172,53255,55186, 5,55172,52915,55190,53215,55193,
+52915,55191,53255,55197,52915,55172, 5,55200,53215,55203, 5,55201,
+53167,55207, 4,49713,51398,55211, 375,55211,51229,55214,53709,55211,
+53740,55211,51909,55211,53797,55211,53800,55211, 340,55211,51803,55229,
+54339,55210,54575,55233,53774,55211,53742,55211,53711,55211,53750,55211,
+53716,55211,54663,55211,53533,55211, 1368,55211,52205,55251,54449,55251,
+52809,55251,54295,55251, 9,55259, 7,55211, 265,55263,51229,55265,
+ 89,55263,52915,55269, 265,55262,51803,55273, 2,55262,52205,55277,
+52809,55277,54449,55277,54295,55277, 9,55285, 2,55263,52825,55289,
+53318,55289, 9,55289,52915,55294,52915,55289, 9,55298,53746,55211,
+46863,55302,53713,55211,46863,55306,31796,55211,25037,55211,25215,55211,
+42338,55211,42076,55211,43053,55211,42959,55211,54575,55211,54339,55325,
+54786,55211,51360,55211,53780,55211,52751,55211, 8148,55211, 9594,55211,
+54377,55211,54439,55211,53758,55211,54700,55211,54826,55211,53286,55211,
+53646,55211,53703,55353,53794,55211,53703,55357,53682,55211,53703,55361,
+53371,55211, 842,55211, 9377,55367,54591,55211,54421,55211,54561,55211,
+53681,55211,53255,55211,54597,55378, 483,55378,53679,55211,54573,55211,
+55131,55211,54559,55211,54435,55211,19892,55211,53772,55211,53667,55396,
+53672,55211,53731,55400,53667,55211,53799,55404,53772,55404,53731,55404,
+46863,55410,46863,55404,53731,55414, 935,55211,20733,55211, 9991,55211,
+41941,55211, 483,55424, 9565,55211, 483,55428, 1487,55211,54597,55211,
+51229,55434, 53,55435, 1471,55435, 253,55435,53731,55434,53255,55434,
+47546,55211, 66,55211, 1369,55451, 241,55211,31103,55454,18967,55211,
+ 483,55458, 483,55211,42155,55462,41941,55462,51229,55462,53517,55462,
+ 7971,55462, 9565,55462,53731,55462,53255,55462, 587,55462, 9377,55481,
+18967,55462, 587,55463, 9195,55487,52915,55487,53674,55211,53703,55493,
+46863,55495, 1369,55493,46863,55492,53703,55501,53391,55493,53649,55211,
+53731,55506,31103,55211, 241,55510, 587,55511, 113,55211,46863,55516,
+17455,55211,54551,55211, 1369,55523,53391,55523,51229,55211, 375,55528,
+54597,55528, 483,55528, 1011,55211, 8165,55537, 9875,55537,20501,55537,
+ 11,55537, 265,55211, 7,55546,51803,55549,54295,55547,47961,55553,
+14611,55553, 4899,55553, 375,55553, 1369,55210,54985,55563,51601,55563,
+54129,55563, 587,55210, 9366,55571,54575,55571,53360,55571, 9195,55571,
+ 483,55578,52915,55571, 483,55582, 483,55571, 9195,55586,52915,55586,
+31103,55571,53731,55211,53649,55594,53672,55594,53667,55594,46863,55600,
+ 483,55594,54597,55594,46863,55594,53667,55608, 587,55211, 9377,55613,
+ 483,55615, 483,55612, 9377,55619,21605,55211,21526,55622, 6,55623,
+21527,55622,55627,55629, 7,55622, 7,55623,55625,55635, 6,55622,
+18967,55638,55635,55641,18967,55622, 6,55645,55633,55647, 6,55644,
+55635,55651, 1347,55211, 1369,55655,53799,55211,53667,55658, 2,55210,
+51418,55663,51416,55663,51398,55663,51354,55663,51909,55663, 340,55663,
+51803,55675,51873,55663,47974,55663,47589,55663, 8590,55663,14620,55663,
+12537,55663,52021,55663,52029,55663,53106,55663, 375,55663,51229,55696,
+52915,55696, 0,55663, 6,55703, 7,55663, 265,55706,51803,55709,
+ 265,55707,51229,55713,52915,55713,47580,55663,51803,55719, 8861,55719,
+ 8495,55663,47961,55724, 4899,55724,14611,55724,52915,55663, 375,55732,
+14611,55663,51229,55736, 8495,55736, 4899,55663,51229,55742, 8495,55742,
+47961,55663,51229,55748, 8495,55748, 265,55663, 7,55754,51803,55757,
+55705,55755,55704,55754,55761,55763,55705,55754,55704,55755,55767,55769,
+46863,55754, 8861,55773,51803,55773,46863,55663, 265,55778,51803,55781,
+ 8861,55781, 265,55779,51229,55787, 8495,55787,51229,55663, 375,55792,
+14611,55792, 4899,55792,47961,55792, 3,55210,54801,55803,52573,55803,
+52115,55803,43053,55803,46863,55803, 2,55211, 7,55814,52205,55817,
+52809,55817,54449,55817,54295,55817, 9,55825,54295,55815,54501,55829,
+ 7,55829,54497,55833, 375,55829, 3,55211,55707,55839,52915,55841,
+55706,55839,53793,55838,55779,55839, 6,55839,55732,55851,52915,55851,
+55663,55854,55663,55851,52915,55858, 0,55851,55829,55851, 0,55850,
+55663,55867, 0,55839, 6,55870,55663,55873, 0,55838,49713,55838,
+55845,55879, 1,55838,55868,55883,55874,55883,55867,55883,55663,55888,
+55873,55883,55663,55892,55849,55883,55663,55883,55867,55898,55873,55898,
+46862,55839,55898,55905,55883,55905,55663,55908,55663,55905,55883,55912,
+ 1,55839,55863,55917,55663,55919, 7,55839,55663,55922,55879,55925,
+55879,55923,55663,55929,52591,55839,53792,55838,53703,55935,43027,55839,
+43837,55839,39747,55839,53517,55838,53703,55945,46863,55947, 1369,55945,
+46863,55944,53703,55953,53391,55945, 1369,55839,18967,55959, 11,55838,
+ 1369,55963,18967,55839,46863,55967, 11,55839,46863,55971,53517,55839,
+53799,55975,55847,55975,53772,55975,53731,55975,46863,55982,46863,55975,
+53731,55986,55778,55839,55877,55991,46863,55839,55877,55995,55663,55997,
+55663,55994,55877,56001,55663,55839, 7,56004,55879,56007,46863,56004,
+55877,56011,46863,55838,53517,56014,53703,56017,53517,56015,53731,56021,
+49204,55211,53517,56024,53703,56027,53517,56025,53731,56031,53792,55211,
+ 3,56034,53703,56037, 3,56035,53667,56041, 7971,55211, 483,56044,
+42155,55211, 483,56048,53517,55211, 483,56052,49204,56052,53703,56057,
+49204,56053,53649,56061, 3,56053,53649,56065,53672,56065,53667,56065,
+46863,56070, 483,56065,54597,56065,46863,56065,53667,56078, 3,56052,
+53703,56083,46863,56085, 1369,56083,46863,56082,53703,56091,53391,56083,
+46863,56052, 3,56096,53703,56099, 3,56097,53667,56103, 11,55211,
+ 3,56106, 1369,56109, 3,56107, 483,56113,46863,55211,53746,56116,
+53713,56116,53674,56116,53703,56123,53731,56116,53667,56126,53667,56116,
+53731,56130, 113,56116, 3,56116,53517,56136,53703,56139,53517,56137,
+53731,56143,53517,56116, 3,56146,53703,56149, 3,56147,53667,56153,
+46863,49713,47982,56156,47983,56157,56159,56161,47983,56156,47982,56157,
+56165,56167,49588,56156,49589,56157,56171,56173,49670,56156,49671,56157,
+56177,56179,49589,56156,49588,56157,56183,56185,49671,56156,49670,56157,
+56189,56191, 8453,56156, 273,56156,21522,56156,38266,56156, 1516,56156,
+ 948,56156,20239,56156,37095,56156, 1477,56156, 281,56156,49617,56156,
+49616,56157,56215,56217,49699,56156,49698,56157,56221,56223,49617,56157,
+49616,56156,56227,56229,49699,56157,49698,56156,56233,56235, 1216,56156,
+ 412,56156,12377,56156, 375,56156, 510,56156,38057,56156, 903,56248,
+ 165,56156, 903,56252,21315,56156, 1011,56256, 1505,56156, 1011,56260,
+ 413,56157,50785,56265,56241,56265, 1217,56157,56239,56271, 1216,56157,
+ 413,56156, 412,56157,56277,56279, 1217,56156,56275,56283, 264,56157,
+51777,56287,50908,56287,50785,56287, 241,56292, 241,56287,50785,56296,
+ 375,56287, 264,56156,50207,56303,51765,56303,51677,56303,51615,56303,
+ 241,56311, 341,56303, 1011,56156, 1505,56316,21315,56316, 903,56156,
+ 165,56322,38057,56322, 483,56156, 9,56328, 9,56156, 483,56332,
+ 5,56157, 4,56156,56337,56339,46863,56340, 2,56343, 2,56342,
+49515,56340,49514,56340, 2,56341,56349,56353, 3,56341,56347,56357,
+56351,56357, 2,56340,46863,56362,56357,56365,56357,56363, 3,56340,
+56345,56371,56353,56371, 3,56157, 375,56377, 2,56156,56337,56381,
+ 1,56383, 0,56382,56385,56387, 0,56383, 1,56382,56391,56393,
+56377,56381,46863,56396, 4,56399, 4,56398,49631,56396,49630,56396,
+ 4,56397,56405,56409, 5,56397,56403,56413,56407,56413, 4,56396,
+46863,56418,56413,56421,56413,56419, 5,56396,56401,56427,56409,56427,
+ 2,56157, 3,56156,56337,56435, 7,56437, 6,56436,56439,56441,
+ 6,56437, 7,56436,56445,56447,56433,56435,46863,56451, 4,56452,
+ 4,56453,49631,56451,49630,56451, 4,56451,46863,56462, 5,56451,
+56457,56467, 4,56450,56467,56471,56459,56471, 5,56450,56465,56477,
+56455,56477,56463,56477,56461,56477, 4,56157,56435,56487, 1,56489,
+ 0,56488,56491,56493, 0,56489, 1,56488,56497,56499,56381,56487,
+ 7,56503, 6,56502,56505,56507, 6,56503, 7,56502,56511,56513,
+ 5,56156,56487,56517,46863,56519, 2,56520, 2,56521,49515,56519,
+49514,56519, 2,56519,46863,56530, 3,56519,56525,56535, 2,56518,
+56535,56539,56527,56539, 3,56518,56533,56545,56523,56545,56531,56545,
+56529,56545, 1, 2,11709,56555,11632,56555,11035,56555,10468,56555,
+17775,56555,11788,56555,12226,56555,11816,56555,11770,56555,44558,56555,
+42181,56555,44243,56576,44438,56555,10856,56555, 3447,56555, 375,56584,
+ 3448,56555,11705,56555,11033,56555,10516,56555,17773,56555,18735,56555,
+10427,56555,10831,56600,10836,56555,10855,56555,16623,56555,16711,56555,
+ 9533,56610,16718,56555, 3555,56555, 5882,56555, 9261,56555, 483,56621,
+ 3699,56555, 15,56625, 6,56624,56627,56629, 14,56625, 7,56624,
+56633,56635, 1999,56555, 15,56639, 6,56638,56641,56643, 14,56639,
+ 7,56638,56647,56649,29450,56555,29731,56653,29659,56653,28791,56653,
+29041,56653,38067,56555, 5,56663,38185,56665,42155,56554,44243,56669,
+42471,56670,44966,56669,42471,56669,44243,56676, 1471,56554,36639,56681,
+15390,56555,15383,56685,28715,56555,21527,56689,29229,56691, 7,56689,
+29759,56695, 7,56688,28791,56699,29041,56699,29731,56699,29659,56699,
+ 1005,56555,16877,56554,16893,56711, 9925,56555, 1369,56715, 9927,56717,
+35336,56555, 989,56721,35278,56555, 1177,56725, 987,56555,35187,56728,
+ 989,56731,36563,56554,36639,56735, 671,56554,36597,56554,36639,56741,
+ 1418,56554, 1,56745, 4,56746, 4,56745, 1,56750, 147,56555,
+35187,56754, 53,56757,17637,56555, 587,56760,10107,56763,35316,56555,
+ 1471,56767,35330,56555, 53,56771,17638,56555,10107,56775, 1489,56555,
+35187,56778, 1471,56781, 1179,56555,35187,56784, 1177,56787,37229,56555,
+35187,56790,37223,56793, 9441,56555, 587,56796, 9439,56799,37230,56555,
+37223,56803, 9442,56555, 9439,56807,45432,56555,42435,56811, 30,56555,
+11731,56814,45433,56555,56669,56819,43099,56555,52259,56555, 483,56825,
+44742,56555,44904,56555,52613,56555,52383,56555,52497,56555,39231,56555,
+40447,56555,39083,56555,38797,56555,39019,56555,39301,56555,39429,56555,
+39305,56555, 386,56555, 347,56555,54492,56555,45508,56555,56116,56555,
+55812,56555,40987,56555,52909,56555,51598,56555,50419,56555,56332,56555,
+52836,56555,52366,56555,36639,56555, 1471,56881,36563,56881,36597,56881,
+ 181,56555,11731,56888,50579,56555,52319,56555,52323,56555,54436,56555,
+54406,56555,52532,56555,52514,56555,55520,56555,44930,56555,39317,56555,
+51141,56555,40123,56555,39228,56555,40676,56555,47366,56555,40682,56555,
+52599,56555,50655,56555,52531,56555,36538,56555,36048,56555,37594,56555,
+42918,56555,40922,56555,39292,56555,11111,56555,11113,56555,11187,56555,
+17508,56555,17180,56555, 3280,56555, 3574,56555, 3568,56555,12216,56555,
+ 25,56958,11613,56555, 25,56962,48406,56555,48400,56555,48500,56555,
+43292,56555,47534,56555,17494,56555,39065,56555,48961,56555,49162,56555,
+17496,56555,11179,56555,47892,56555,11546,56555,11207,56555, 5878,56555,
+52446,56555,35506,56555,39035,56555,40087,56555, 9,57003,10513,56555,
+ 9,57006,36102,56555, 253,57011, 53,57011, 117,57011, 1471,57011,
+ 7968,56555,53813,57021,10107,57021,11067,57021,37282,56555,53813,57029,
+37417,57029,10107,57029,35652,56555, 253,57037, 1471,57037, 809,57037,
+ 53,57037,38293,56555,53813,57047,37417,57047,38275,57047,10107,57047,
+ 1397,56555,35187,57056,52439,56555, 265,57060,40127,56555,43318,56555,
+48750,56555,53813,57069,10107,57069,36100,56555, 253,57075, 53,57075,
+ 1471,57075, 9404,56555, 483,57083, 8053,56555, 9,57087,10465,56555,
+ 9,57090,11936,56555,10119,56555,10185,56555,53885,56555,10117,56555,
+45490,56555, 33,57105, 8212,56555, 9,57109,11812,56555, 9,57112,
+53899,56555, 6719,56555, 11,57119, 5,57120, 6,57119, 5,57124,
+ 5,57119, 6,57128, 6,57129, 7,57119,57133,57135, 15,57119,
+ 6,57118,57139,57141, 14,57119, 7,57118,57131,57147,57127,57147,
+57123,57147,57145,57147, 6787,56555, 5,57157, 4,57157, 12,57157,
+ 13,57156,57163,57165, 13,57157, 12,57156,57169,57171, 5,57156,
+57161,57175, 4,57156,57159,57179,10831,56555, 375,57182,44243,57182,
+10427,57182, 9,57183,11529,56555,46863,57192, 483,57192,17640,56555,
+39226,56555,48572,56555,47410,56555,40568,56555,47374,56555,47674,56555,
+17656,56555,47676,56555,47634,56555,48112,56555,47412,56555, 5814,56555,
+ 918,56555,36256,56555,46863,57226,48466,56555,49713,57230,35187,57230,
+ 11,57231,47608,56555, 903,57238,52756,56555,46863,57242,48620,56555,
+ 247,56555,46863,57248, 1419,56555,56749,57253,56753,57253,25519,57253,
+ 1841,57253, 1883,57253,22679,57253, 5,57253,22677,57267,14065,57253,
+ 5175,57253,40565,56555, 587,57274, 922,56555,51593,56555,46863,57280,
+47640,56555, 11,57285, 1011,57284, 11,57284,35718,56555, 9439,57293,
+37223,57293, 9381,57293,37157,57293,35877,57293,35881,57293, 9383,57293,
+37163,57293,35883,57293, 17,57293,37145,57313, 9377,57313,35867,57313,
+51051,56555, 375,57321,50959,56555, 9,57325,39205,56555, 10,57329,
+ 10,57328, 11,57329,57333,57335, 1011,57328, 11,57328,57331,57341,
+48402,56555, 9,57344,48560,56555, 903,57348,36544,56555, 6,57353,
+36661,57355,36675,57353, 8067,57353, 7979,57353, 7981,57353,39747,57353,
+43837,57353,43027,57353, 1369,57353, 7971,57373, 934,56555,46863,57376,
+ 668,56555, 5,57381,22605,57383,22615,57381, 3135,57381, 2009,57381,
+14065,57381, 5175,57381,53905,56555,55432,56555,10303,56555,42661,56555,
+ 25,56555,11613,57404,12216,57404, 9,57404,11731,57410,35187,57404,
+ 253,57415, 53,57415, 117,57415, 1471,57415,11731,57404, 9,57424,
+ 8165,56555, 67,57428, 9,57431, 7947,56555, 587,57434,53813,57437,
+10107,57437,11067,57437,17049,56555,46863,57444, 165,56555,43215,57448,
+ 113,56555,54295,57452, 767,56555, 483,57457, 9377,57459, 9377,57456,
+ 483,57463, 803,56555,17455,57466, 375,56555,10831,57470, 3447,57470,
+ 305,57470,17125,57470, 510,56555, 11,56555, 33,57483,44243,57485,
+44243,57482, 33,57489,39205,57482,47640,57482,46863,57482, 903,57496,
+35187,57482,43027,57501,43837,57501, 8067,57501, 7979,57501,39747,57501,
+ 7981,57501, 1369,57501, 7971,57515, 903,57482,46863,57518, 9,56555,
+10465,57522,11812,57522,10513,57522, 25,57522,11731,57530,56156,57522,
+40675,57522, 3565,57522, 3573,57522, 3273,57522,11731,57522, 25,57544,
+48402,57522,17455,57522, 5843,57522, 11,57523,46863,57555,49713,57522,
+46863,57558, 903,57522,35187,57522,46863,57564,46863,57522,49713,57568,
+35187,57568, 11,57569, 587,57522, 5175,57577,14065,57577, 3135,57577,
+ 2009,57577, 483,57522,55839,56555, 483,57589, 5771,56555, 903,57592,
+ 6705,56555, 1369,57597, 6707,57599, 6711,57599, 6715,57599, 3697,56555,
+ 16,57607, 16,57606, 17,57607,57611,57613, 17,57606,57609,57617,
+ 3709,56555, 8075,56555, 9,57623, 3273,56555, 9,57626, 3423,56555,
+ 16,57631, 16,57630, 17,57631,57635,57637, 17,57630,57633,57641,
+ 3661,56555, 16,57645, 16,57644, 17,57645,57649,57651, 17,57644,
+57647,57655, 3681,56555, 3357,56555,53675,56555, 9,57663,42379,56555,
+ 9,57667, 3573,56555, 9,57670, 3565,56555, 9,57674,52878,56555,
+15436,56555, 375,57681,54550,56555,17232,56555,38305,57686, 4935,56555,
+ 6,57691, 5,57692, 7,57691, 5,57691, 6,57698, 6,57699,
+57697,57703, 6,57690, 15,57691,57707,57709, 7,57690,57695,57713,
+57701,57713, 14,57691,57713,57719,55803,56555,46863,57722,16127,56555,
+ 6,57727, 5,57728, 7,57727, 5,57727, 6,57734, 6,57735,
+57733,57739, 6,57726, 15,57727,57743,57745, 7,57726,57731,57749,
+57737,57749, 14,57727,57749,57755,54477,56555,46863,57758,49155,56555,
+ 483,57762, 5843,56555, 955,57766, 9,57766, 5313,56555, 9802,56555,
+48736,56555, 9434,56555, 483,57779,15309,56555, 413,57782,15383,57785,
+ 413,57783,15335,57789, 8,56554, 4,57793, 1,57794,57381,57797,
+57577,57797, 1,57793, 4,57802,57381,57805,57577,57805, 10,56554,
+ 7,57811, 2,57812,57353,57815,57501,57815, 2,57811, 7,57820,
+57353,57823,57501,57823,57515,57811,57373,57811, 1368,57811,57501,57833,
+57353,57833, 3867,57811, 8277,57811, 3997,57811, 4067,57811, 9459,57811,
+ 8953,57811,57483,57811, 9,57811, 14,56555,38881,57855, 11,56554,
+44778,57859,44243,57859, 25,57862,47640,57859, 25,57859,44243,57868,
+48466,57859, 903,57859,46863,57874,46863,57859, 903,57878, 9,57878,
+ 9,57859,46863,57884, 9,56554,40903,57889,40053,57889,43307,57889,
+ 5019,57889,12361,57889, 16,56555,19625,57901,21105,57901,21549,57901,
+17591,57901, 17,56554,36639,57911, 10,56555,57859,57915,11731,56555,
+ 30,57918, 181,57918,54295,57918, 9,57918, 25,57926, 145,57918,
+ 25,57918, 9,57932, 67,56555, 9,57937, 8165,57939, 8165,57936,
+ 9,57943,17635,56555, 155,57946, 903,57946, 145,56555,11731,57952,
+17695,56555, 1369,57957, 7971,57959,53517,57959,17053,57959,17699,57959,
+42155,57959, 155,56555,17635,57970,10305,56555,42699,56555,10307,56555,
+ 566,56555,53813,57981,10107,57981, 256,56555,42810,56555,17125,57988,
+ 1170,56555, 629,56555, 1413,56555,37408,56555,25793,57999,41019,57999,
+ 8495,57999, 265,57998, 1346,56555,48884,56555,27021,58011,52915,58011,
+ 9195,58011,20763,58011, 340,56555, 331,58021,35187,58020,38270,56555,
+ 766,56555,25519,58029, 802,56555, 9366,58033, 9195,58033, 483,58036,
+ 483,58033, 9195,58040,31103,58033,42729,56555, 257,56555,44243,58048,
+ 1487,56555,55211,58052,44243,56555,10831,58056,42181,58056,42155,58057,
+42471,58063,42155,58056,42435,58067, 9533,58056,37145,58056, 11,58057,
+ 25,58075,35187,58056,17125,58056, 11,58056, 33,58083,49713,58056,
+ 257,58056,55211,56555,46863,58090,17455,58090, 1487,58090, 1197,56555,
+ 4,58099, 5,58098,58101,58103, 5,58099, 4,58098,58107,58109,
+ 1505,56555,45002,56555,42155,56555,42435,58117,44243,58119,44243,58116,
+42435,58123, 305,56555, 375,58126,35187,58126, 253,58131, 1471,58131,
+ 53,58131, 713,56555,35187,58138, 253,58141, 1471,58141, 809,58141,
+ 53,58141,37241,56555, 587,58150,53813,58153,37417,58153,10107,58153,
+ 955,56555, 5843,58160,48739,56555, 587,58164,53813,58167,10107,58167,
+40461,56555, 9,58173,52501,56555,35187,58176, 241,58176, 9801,56555,
+ 17,58182, 4,58183,58185,58187, 5,58183,57901,58191, 4,58182,
+ 7,58194,58191,58197, 5,58182,48735,56555, 17,58202, 4,58203,
+58205,58207, 5,58203,57901,58211, 4,58202, 7,58214,58211,58217,
+ 5,58202, 9533,56555,16711,58222,44243,58222,37145,56555,44243,58228,
+ 8861,56555, 5,58233, 6,58235, 6,58234, 14,58233, 15,58233,
+ 6,58233, 5,58244, 7,58233,58237,58249, 6,58232,58243,58253,
+ 7,58232,58239,58257,58247,58257,58241,58257, 9377,56555, 767,58264,
+ 483,58267, 4,58264, 483,58271, 1217,56555, 483,58275, 413,56555,
+15309,58278,15383,58281,15309,58279,15363,58285,46863,58278, 412,56555,
+ 483,58291, 1216,56555,46863,58294,56156,56555, 9,58298, 1011,56555,
+39205,58302,47640,58302,46863,58302, 903,58308, 7,58302, 903,58302,
+46863,58314,43215,58302, 7,58319,38305,56555,17232,58322, 7,58322,
+17125,58326,17125,58322, 7,58330,49713,56555,48466,58334, 9,58334,
+46863,58338,44243,58334,46863,58334, 9,58344, 241,56555,52501,58348,
+ 7,58348, 7,58349, 265,58355, 265,58348, 483,58359, 483,56555,
+40675,58362,43215,58362,49155,58362,11529,58362, 903,58362, 9,58362,
+ 5,58362,53813,58377,10107,58377, 5,58363,55211,58383,40675,56555,
+ 7,58387, 9,58386, 483,58386,46863,58386,35187,56555,37229,58396,
+37223,58399, 1177,58397, 1179,58403, 989,58397, 987,58407, 1179,58396,
+ 1177,58411, 987,58396, 989,58415, 1489,58396, 1471,58419, 147,58396,
+ 53,58423, 117,58397, 25,58427, 809,58397, 713,58431, 2,58396,
+ 7,58435, 2,58436,58397,58439, 5,58436,58441,58443, 5,58435,
+ 7,58446, 10,58435, 4,58396, 7,58453, 4,58454,58397,58457,
+ 3,58454,58459,58461, 3,58453, 7,58464, 586,58453, 1368,58396,
+ 7,58471, 5,58472, 5,58471, 7,58476, 10,58471, 16,58396,
+ 7,58483, 3,58484, 3,58483, 7,58488, 586,58483,44243,58396,
+52501,58396, 340,58396,48466,58396, 1397,58396, 25,58396, 1471,58505,
+ 253,58505, 53,58505, 117,58505, 713,58396, 53,58515, 253,58515,
+ 1471,58515, 809,58515, 53,58397, 147,58525, 305,58525, 713,58525,
+ 25,58525, 1471,58397, 1489,58535, 305,58535, 25,58535, 713,58535,
+ 305,58396, 253,58545, 1471,58545, 53,58545, 253,58397, 305,58553,
+ 25,58553, 713,58553, 9,58396,46863,58560, 1369,58397, 9891,58565,
+ 9927,58565,58475,58565,58479,58565,58443,58565,58449,58565, 4,58565,
+ 9895,58565,19687,58565,20843,58565,21127,58565,58451,58565,58481,58565,
+ 11,58565, 9875,58593,58435,58593,58471,58593, 17,58397,10111,58601,
+10159,58601,58487,58601,58491,58601,36729,58601,58461,58601,58467,58601,
+ 2,58601,10113,58601,58469,58601,58493,58601, 587,58601,10107,58625,
+58453,58625,58483,58625,46863,58396, 9,58632, 11,58396,57815,58637,
+57823,58637, 8067,58637, 7979,58637, 3,58637,58601,58647,58617,58637,
+ 7981,58637,39747,58637,43027,58637,43837,58637,57833,58637, 1369,58637,
+ 7971,58663,57811,58663, 587,58396,35877,58669,35881,58669, 9439,58669,
+ 9381,58669, 5,58669,58565,58679,58579,58669,37223,58669,37157,58669,
+ 9383,58669,37163,58669,35883,58669, 17,58669, 9377,58695,37145,58695,
+35867,58695, 6,58396, 7,58396,25793,58705,41019,58705, 8495,58705,
+ 265,58704, 6,58397,36661,58715,58705,58715,57999,58715, 7,58397,
+58703,58723,58027,58723, 265,58396, 6,58728, 7,58728, 6,58729,
+58733,58735, 7,58729,58731,58739, 903,56555,17455,58742,17635,58742,
+47608,58742, 5771,58742,48560,58742, 11,58743,46863,58755, 9,58742,
+ 483,58742,46863,58742, 11,58763, 1011,58762, 11,58762, 11,58742,
+46863,58770, 7,58743, 8165,58775, 1011,58742,46863,58778,46863,56555,
+21036,58782,21036,58783,21037,58782,58787,58789,21037,58783,58785,58793,
+54477,58782,55211,58782,55803,58782,52756,58782,51593,58782,40675,58782,
+43215,58782,36256,58782,11529,58782, 934,58782, 247,58782, 1216,58782,
+ 413,58782,17049,58782, 11,58783, 903,58825, 9,58825, 9,58782,
+49713,58830,35187,58830, 11,58831, 1011,58782, 903,58838,35187,58782,
+ 9,58842, 903,58782, 11,58847, 1011,58846, 11,58846, 11,58782,
+ 903,58854, 5,58782,27021,58859,52915,58859, 9195,58859,20763,58859,
+49713,58782, 9,58868, 1275,56555, 17,58872, 4,58872, 7,58876,
+ 5,58872, 4,58873,58875,58883, 5,58873,58879,58887,57901,58887,
+ 265,56555,37408,58892,52439,58892, 7,58892, 331,58899,35187,58898,
+ 7,58893, 375,58905, 241,58892, 483,58909,38305,58893, 375,58913,
+35187,58892, 6,58916, 7,58916, 6,58917,58921,58923, 7,58917,
+58919,58927, 587,56555, 9441,58930, 9439,58933,17637,58930,10107,58937,
+37417,58931,37241,58941,11067,58931, 7947,58945, 7,58930, 4,58949,
+ 7,58950,58931,58953, 0,58950,58955,58957, 0,58949, 4,58960,
+35186,58949, 1,58930, 4,58967, 1,58968,58931,58971, 6,58968,
+58973,58975, 6,58967, 4,58978, 8,58967, 16,58930, 4,58985,
+ 0,58986, 0,58985, 4,58990,35186,58985,22807,58931,37241,58930,
+10107,58999,53813,58999,37417,58999, 7947,58930,53813,59007,10107,59007,
+11067,59007,10107,58931,17637,59015,48739,59015,37241,59015, 7947,59015,
+48739,58930,53813,59025,10107,59025,53813,58931,48739,59031,37241,59031,
+ 7947,59031,40565,58930, 17,58931, 1985,59041, 3721,59041,58989,59041,
+58993,59041, 5299,59041,58957,59041,58963,59041, 1,59041,35233,59041,
+35917,59041, 4861,59041,17563,59041,58965,59041,58995,59041,35187,59041,
+ 53,59071,58949,59071,58985,59071,35187,58930,35881,59079,35877,59079,
+37223,59079,37157,59079, 6,59079, 9439,59079, 9381,59079,37163,59079,
+ 9383,59079,35883,59079, 17,59079,37145,59101, 9377,59101,35867,59101,
+ 9,58930,57797,59109,57805,59109, 3135,59109, 2009,59109, 0,59109,
+59041,59119,59057,59109, 5175,59109,14065,59109, 4,58930, 9366,59129,
+ 9195,59129, 483,59132, 483,59129, 9195,59136,31103,59129, 5,58930,
+25519,59143, 5,58931,25503,59147,24623,59147,30387,59147,58565,59147,
+22605,59147,36526,56555, 6,59158, 7,59158, 6,59159,59163,59165,
+ 7,59159,59161,59169,40920,56555, 7,59172,43400,56555, 7,59177,
+16065,56555, 5,59181, 7,59182, 7,59183,56555,59186, 6,59182,
+59189,59191, 6,59183,56555,59183, 7,59196,59191,59199, 7,59197,
+59195,59203,15029,56555, 5,59206, 6,59209, 6,59208, 14,59206,
+ 15,59206, 6,59206, 5,59218, 7,59206,59211,59223, 375,59223,
+ 6,59207,59217,59229, 7,59207,59221,59233,59213,59233, 59,59233,
+59215,59233, 331,59233, 1325,59233, 265,59233,43215,56555, 9,59249,
+ 483,59248,46863,59248, 165,59248, 1011,59248, 7,59259,17125,56555,
+ 4,59262, 7,59265, 1011,59266, 1011,59265, 7,59270, 7,59271,
+ 1170,59265, 5,59263,57993,59279,58313,59279,17129,59279,42811,59263,
+42811,59262,44243,59262,42810,59262,59287,59293,42810,59263,59289,59297,
+ 375,59262, 6,59262,59269,59303,59273,59303,59277,59303, 7,59262,
+38305,59310, 6,59263,59275,59315,59311,59315, 7,59263,59303,59321,
+38305,59262, 7,59324,54295,56555,11731,59328, 113,59328, 5,59328,
+ 5,59329,57901,59337,17455,56555, 7,59341, 4,59342, 4,59343,
+ 16,59341, 17,59341,55211,59340, 803,59340, 903,59340, 9,59340,
+ 4,59340,59351,59361, 5,59340,59345,59365,59349,59365, 4,59341,
+ 7,59370,59365,59373, 5,59341,59347,59377, 4,56554,26454,59381,
+26375,59381, 8672,59381, 8743,59381,41692,59381,41607,59381, 8770,59381,
+ 8729,59381, 3795,59381,47953,59381,48062,59381,47961,59381,48009,59404,
+48009,59381,47961,59408,26219,59381,26415,59412,41417,59381,41653,59416,
+44832,59381,31770,59381, 8757,59381, 8647,59424,41653,59381,41417,59428,
+26415,59381,26219,59432, 8647,59381, 305,59436, 8757,59436, 8605,59381,
+47580,59381,47933,59445, 8684,59381, 8717,59449, 8916,59381,44243,59381,
+ 483,59454,41502,59381,41559,59459, 340,59381, 8717,59463, 3785,59463,
+ 8495,59463, 375,59381, 8861,59470,46863,59470,47488,59381,26292,59381,
+26331,59479, 9,59381,31103,59482, 305,59381, 8647,59486, 7,59381,
+ 1,59491, 264,59492, 264,59493,25793,59491,26415,59499,41019,59491,
+41653,59503, 8495,59491, 305,59507, 8757,59507, 8495,59490, 8717,59513,
+41019,59490,41559,59517, 265,59491,59497,59521, 8861,59521,46863,59521,
+25793,59490,26331,59529, 265,59490, 8717,59533,59495,59533, 3785,59533,
+ 8495,59533,31103,59381, 9,59542, 483,59381,44243,59546,46863,59381,
+ 265,59551,48009,59553, 265,59550,47933,59557, 375,59550,41019,59381,
+ 7,59563,41417,59565, 7,59562,41559,59569, 265,59381,46863,59573,
+47961,59575,46863,59572,47933,59579, 7,59573, 8647,59583, 7,59572,
+ 8717,59587, 3785,59587, 8495,59587,25793,59381, 7,59595,26219,59597,
+ 7,59594,26331,59601, 8495,59381, 7,59604, 8717,59607, 7,59605,
+ 8647,59611, 8861,59381, 375,59614, 5,56554,26777,59619, 9741,59619,
+ 9745,59619,26781,59619,30349,59619,26857,59619,26933,59619, 2,59619,
+ 7,59634,57353,59637,57501,59637,58637,59637, 6,59635, 9777,59619,
+ 1368,59619,57501,59649,57353,59649,58637,59649,57515,59619,57373,59619,
+58663,59619, 9771,59619,40077,59619,31598,59619,55462,59619,50733,59619,
+37519,59619,35690,59619, 8982,59619,55211,59619, 483,59678, 668,59619,
+ 9731,59683,26625,59683, 1419,59619, 9731,59689,26625,59689, 17,59619,
+ 8861,59694, 9,59619, 587,59698, 9731,59701,26625,59701, 375,59619,
+35187,59706, 6,59619, 7,59619, 5,59713, 2,59712,57353,59717,
+57501,59717,58637,59717, 5,59712,58396,59725,59717,59727,35187,59725,
+56555,59730,59717,59733,56555,59725,35187,59736,59717,59739, 7,59618,
+ 3867,59743, 8277,59743, 3997,59743, 4067,59743, 9459,59743, 8953,59743,
+31103,59619,26625,59756, 483,59619,55211,59760, 587,59619, 9,59764,
+ 9731,59767,26625,59767,35187,59619, 375,59772,26625,59619,31103,59776,
+ 8861,59619, 7,59781, 17,59780, 6,56554,36633,59787,36627,59787,
+ 1,59787, 4,59792,57253,59795,57381,59795,57577,59795,59109,59795,
+ 5,59792,38304,59787,39987,59787,36544,59787, 9875,59811,20501,59811,
+ 11,59787,35187,59816,20501,59819, 9875,59819, 5,59787, 1,59824,
+ 4,59787, 6,59829, 1369,59831,56555,59833, 1,59828,57253,59837,
+57381,59837,57577,59837,59109,59837,59835,59837, 6,59828,58930,59849,
+59837,59851, 587,59849,56555,59854,59837,59857,56555,59849, 587,59860,
+59837,59863,35187,59787, 11,59866,20501,59869, 9875,59869, 7,56554,
+ 4904,59875,17586,59875,17609,59875,40685,59875,40039,59875,42991,59875,
+ 9484,59875, 272,59875, 1476,59875, 280,59875, 949,59875, 1517,59875,
+ 1197,59875, 4903,59875, 9,59902,17579,59875, 9,59906, 11,59875,
+ 9377,59910, 9,59875, 4903,59914,17579,59914, 253,59875, 265,59920,
+ 53,59875, 265,59924, 1471,59875, 265,59928, 5,59874, 3867,59933,
+ 8277,59933, 4067,59933, 3997,59933, 8953,59933, 9459,59933, 265,59875,
+ 253,59946, 1471,59946, 53,59946, 9377,59875, 11,59954, 5,59955,
+ 7,56555,59826,59960,59827,59961,59963,59965,59827,59960,59826,59961,
+59969,59971,59804,59960,59805,59961,59975,59977,59805,59960,59804,59961,
+59981,59983,21036,59960,14072,59960,14073,59960,14072,59961,59991,59993,
+59183,59960,59191,59997,59183,59961,59185,60001, 4970,59960, 4971,59960,
+ 4970,59961,60007,60009,16169,59961, 9617,60013,39786,59961,59807,59961,
+59806,59961,28715,59960,28791,60023,29731,60023,29659,60023,29041,60023,
+21036,59961,21037,59960,60033,60035,38304,59961,59787,60038, 483,60038,
+38304,59960,60019,60045,59787,60045, 483,60045,18967,59961, 5,60053,
+ 5,60052, 2,59961, 0,60059,56555,60061, 5,60063,59961,60065,
+ 7,60064,60067,60069,59960,60065, 6,60064,60073,60075, 1,59961,
+ 3,60079, 5,60081,56555,60082,56555,60081, 5,60086, 5,60087,
+ 1011,60079,56555,60093, 5,60079, 1,59960,21036,60099, 3,60099,
+56555,60103, 5,60105, 5,60104, 5,60103,56555,60110, 5,60099,
+18967,60114,18967,60099, 5,60118, 5,60119, 2,59960,59811,60125,
+36545,60125,59787,60129,59819,60125,59869,60125, 15,60125,29659,59961,
+29077,60139,39787,59961,60045,60143,32103,59961,41746,59961,26106,59961,
+ 8800,59961,36526,59960,40920,59960, 1163,59961,41019,59961, 11,60160,
+35187,60161,59619,59961, 4971,59961,60005,60169,14073,59961,59989,60173,
+ 4555,59961, 559,59961, 39,59961, 8495,59961,35187,60183, 11,60182,
+15029,59960, 375,60189,17125,59960,38305,60192, 11,59961,41019,60196,
+25793,60196, 8495,60196, 265,59961, 3447,60205,10831,60205, 305,60205,
+17125,60205,11731,60205, 567,59961,46863,60217, 15,59961, 3651,60221,
+ 1993,60221, 4903,60221,17579,60221, 241,59960,38305,59960,60017,60233,
+60021,60233,60041,60233,60043,60233,60039,60233,59787,60243, 483,60243,
+17125,60232, 1011,59960,59279,60251,21037,59961,59987,60255, 11,60255,
+28715,59961,29533,60261,20273,60261, 9617,60261,35187,59960,25793,60269,
+41019,60269, 8495,60269,58715,60269, 265,60268, 265,59960, 331,60281,
+35187,60280,38305,59961,37845,60287,37844,60286,60289,60291,37844,60287,
+37845,60286,60295,60297,60048,60287,59787,60287,60045,60302,60050,60287,
+60045,60287,59787,60308, 483,60308, 483,60287,60045,60314, 1011,59961,
+25793,59961,35187,60321, 11,60320, 4,59960,60091,60327,60107,60327,
+60033,60327,60101,60327,59337,60327,58191,60327,58211,60327,60057,60327,
+60117,60327,60121,60327,21549,60327,21105,60327,19625,60327,58887,60327,
+17591,60327, 5,59960, 1,60359, 3,60361,60205,60363,60255,60359,
+ 4,59961,60085,60369,60089,60369,60113,60369,60109,60369,57685,60369,
+59335,60369,58201,60369,58221,60369,57775,60369,57777,60369,60095,60369,
+60055,60369,60123,60369,31103,60369,21575,60369,58881,60369,58009,60369,
+17579,60369, 4903,60369,48408,60369,46863,60369, 483,60410, 483,60369,
+46863,60414, 5,59961,18967,60418,60327,60421, 1368,60419, 2,60419,
+ 7,60426, 7,60419, 2,60430,59787,59961,38304,60435,60287,60437,
+38304,60434,60233,60441, 483,59961,38304,60445,60287,60447,38304,60444,
+60233,60451, 5,56555,60081,60454,60369,60457,60103,60454,60369,60461,
+ 1,60455, 3,60464, 1,60454,59491,60469,59490,60469,59381,60469,
+ 7,60474, 7,60475, 5,60469,59961,60481, 6,60468,60473,60485,
+60477,60485, 7,60468,60471,60491,59381,60491, 6,60469,59381,60497,
+60491,60498,60479,60497,60494,60497,60491,60497,59381,60506, 7,60469,
+59381,60510,60485,60513,60485,60511,59381,60517, 2,60454,60261,60521,
+60483,60521,53813,60455, 483,60527,52915,60455,46863,60531,59875,60455,
+ 9801,60454,60369,60537,48735,60454,60369,60541,10107,60455, 483,60545,
+ 9195,60455,46863,60549,54295,60454,60369,60553, 587,60455,17455,60557,
+11731,60557, 9,60455, 8861,60563, 17,60455, 587,60567,26625,60569,
+ 9731,60569,60467,60569, 483,60454,53813,60577,10107,60577,20763,60455,
+46863,60583,46863,60454,27021,60587,52915,60587, 9195,60587,20763,60587,
+ 1275,60454,60369,60597, 587,60454,25519,60601,27021,60455,46863,60605,
+ 6,60454,38881,60609,59381,60455,30091,60455,31103,60615, 4,56555,
+ 2,60619, 0,60621,56555,60623, 5,60625, 7,60621,60627,60629,
+ 1,60618,59689,60633, 1418,60633,59619,60637,59683,60633, 669,60633,
+59619,60643,60569,60633,59701,60633,59767,60633, 15,60633, 1369,60652,
+59619,60655, 1369,60633, 15,60658,59619,60661, 842,60619, 9377,60665,
+59787,60619, 9377,60618, 483,60671, 587,60619, 483,60674, 9377,60677,
+ 9377,60675, 483,60681,21527,60619, 9,60685,31103,60619, 587,60689,
+ 587,60618, 9366,60693, 9195,60693, 483,60696, 483,60693, 9195,60700,
+31103,60693, 483,60619, 587,60706, 9377,60709, 9377,60707, 587,60707,
+ 9195,60715, 7,60618,59337,60719,58191,60719,58211,60719,21105,60719,
+21549,60719,19625,60719,58887,60719,17591,60719, 6,60619, 1,60737,
+ 4,60738, 4,60737, 1,60742, 1369,60737,56555,60747,60741,60749,
+60745,60749, 7,60619, 2,60755,21183,60755, 9377,60755,59619,60619,
+38305,60619, 3,60764, 2,60764,56555,60765, 6,60770,60769,60773,
+ 6,60765,56555,60776,60769,60779, 1011,60619,46862,60782,46862,60783,
+46863,60783,60785,60789,46863,60782,60787,60793, 6,56555,36303,60797,
+36302,60796,60799,60801,36303,60796,36302,60797,60805,60807,40946,60796,
+40946,60797,60765,60796,60769,60815, 2,60797, 0,60818,40947,60796,
+60813,60823,40947,60797,60811,60827,60765,60797,60767,60831,59381,60797,
+ 17,60797,35187,60837,20501,60839,60125,60839,60821,60839, 9875,60839,
+35187,60796,58723,60849, 5,60796,38881,60853, 0, 3, 8169,60857,
+ 8028,60857, 8173,60857, 8214,60857, 8167,60857, 8154,60857, 8026,60857,
+ 8054,60857,17728,60857,60210,60857,60283,60857,58128,60857,58023,60857,
+57476,60857,56854,60857,56856,60857,58901,60857,58906,60857,58122,60857,
+58066,60857,56810,60857,56822,60857,16743,60857,16696,60857, 4810,60857,
+16745,60857,16729,60857,16714,60857, 6648,60857, 2079,60857, 375,60916,
+ 2086,60857,16733,60857,16565,60857,16683,60924,16692,60857,16735,60857,
+16739,60857,51942,60857,44534,60857,42383,60857,44243,60938,44440,60857,
+16747,60857, 75,60857, 6625,60946, 6632,60857, 6645,60857,60079,60857,
+ 5,60955,60327,60957, 5,60954,60369,60961,60096,60857,60369,60965,
+ 1325,60856,40829,60969, 1173,60857,17591,60856,17603,60975,10039,60857,
+ 1275,60979,10041,60981,38560,60857, 1205,60985, 1203,60857,38305,60988,
+ 1205,60991,38514,60857, 1007,60995,40741,60856,40829,60999, 531,60856,
+ 1290,60856, 0,61005, 5,61006, 5,61005, 0,61010,40769,60856,
+40829,61015,38548,60857, 1325,61019, 177,60857,38305,61022, 59,61025,
+17053,60857, 483,61028,10081,61031, 1009,60857,38305,61034, 1007,61037,
+ 1365,60857,38305,61040, 1325,61043,38566,60857, 59,61047,17054,60857,
+10081,61051,42109,60857,38305,61054,42103,61057, 9527,60857, 483,61060,
+ 9525,61063,42110,60857,42103,61067, 9528,60857, 9525,61071, 386,60857,
+56555,61074, 8150,60857, 113,61078, 347,60857,56555,61082,58905,60857,
+ 375,61086,45432,60857,56555,61090,43099,60857,56555,61094,40829,60857,
+ 1325,61099,40741,61099,40769,61099,60535,60857, 9,61107,57916,60857,
+ 9,61111,57851,60857, 9,61115,17727,60857, 113,61118,57060,60857,
+ 8309,60857,60230,60857,57986,60857,57998,60857,60268,60857,58352,60857,
+58704,60857,13820,60857,13772,60857,57994,60857,58056,60857,42155,61144,
+36101,60857, 375,61149,37407,60857,47392,60857,36532,60857,36536,60857,
+57284,60857,58760,60857,58762,60857,58846,60857,58372,60857,57278,60857,
+57996,60857,57470,60857, 305,61174,60205,60857, 305,61178,58374,60857,
+58830,60857,57586,60857,57480,60857,57230,60857,57568,60857,40684,60857,
+36542,60857, 375,61197,42990,60857,40038,60857,37498,60857,36754,60857,
+35796,60857, 8225,60857, 8242,60857, 128,60857, 7971,61214, 101,60857,
+ 7971,61218,37362,60857,48122,60857,12526,60857, 6698,60857,47690,60857,
+38704,60857,11943,60857, 9,61235,12343,60857, 5,61239, 4,61238,
+61241,61243, 4,61239, 5,61238,61247,61249,40132,60857, 331,61253,
+ 59,61253, 97,61253, 1325,61253, 8148,60857,48753,61263,10081,61263,
+11759,61263,39044,60857, 331,61271, 1325,61271, 571,61271, 59,61271,
+42338,60857,48753,61281,44451,61281,10081,61281,42959,60857,48753,61289,
+44451,61289,42825,61289,10081,61289, 629,60857,56555,61298,38305,61298,
+ 289,60857, 587,61305,10287,60857,17660,60857,10262,60857,40130,60857,
+ 331,61315, 59,61315, 1325,61315,53780,60857,48753,61323,10081,61323,
+60668,60857, 9,61329, 8213,60857, 9,61332,11813,60857, 9,61337,
+17030,60857, 8211,60857, 8301,60857, 8209,60857,38110,60857, 8052,60857,
+ 9,61350,10464,60857, 9,61355,10527,60857, 9,61359, 4727,60857,
+ 9,61363,11989,60857, 11,61367, 5,61368, 6,61367, 5,61372,
+ 5,61367, 6,61376, 6,61377, 7,61367,61381,61383, 15,61367,
+ 6,61366,61387,61389, 14,61367, 7,61366,61379,61395,61375,61395,
+61371,61395,61393,61395,12371,60857, 5,61405, 4,61405, 12,61405,
+ 13,61404,61411,61413, 13,61405, 12,61404,61417,61419, 5,61404,
+61409,61423, 4,61404,61407,61427, 6625,60857,44243,61430, 375,61430,
+ 75,61430, 9,61431, 6685,60857, 483,61440,46863,61440,17060,60857,
+35768,60857,50524,60857,52806,60857,50480,60857,36296,60857,50990,60857,
+ 510,60857,56555,61460,47608,60857,36293,60857, 483,61466, 295,60857,
+49713,61470, 1291,60857,61009,61475,61013,61475,20033,61475, 1831,61475,
+ 1881,61475,19319,61475, 4,61475,19317,61489,15899,61475, 4579,61475,
+48561,60857, 9,61497, 922,60857,56555,61500,51937,60857, 375,61504,
+57915,60857,57859,61508, 9,61511,39234,60857,60853,61515,60609,61515,
+ 9525,61515,42103,61515, 9517,61515,41989,61515,39485,61515,39481,61515,
+57855,61515, 9519,61515,41995,61515,39487,61515, 15,61515, 9513,61541,
+41941,61541,39477,61541,50958,60857, 9,61548,35761,60857, 9,61552,
+35719,60857, 375,61557,57482,60857,57852,61561,57811,61561, 9,61564,
+ 9,61561,57811,61568,57522,60857, 483,61572,46863,61572, 1072,60857,
+ 1108,60857,49713,61580, 524,60857, 4,61585,19301,61587,19311,61585,
+ 3195,61585, 1965,61585,15899,61585, 4579,61585,40704,60857, 7,61601,
+40799,61603,40813,61601, 7961,61601, 7951,61601, 7953,61601,35893,61601,
+37897,61601,38299,61601, 1275,61601, 7947,61621,52756,60857, 1011,61624,
+10245,60857,37339,60857, 33,60857,10385,61632, 9,61635, 7971,60857,
+ 101,61638, 128,61638, 9,61638, 113,61644, 483,61638,48753,61649,
+10081,61649,11759,61649, 113,61638, 9,61656, 21,60857,38305,61660,
+ 331,61663, 59,61663, 97,61663, 1325,61663,47640,60857,56555,61672,
+17635,60857,12377,61676,11731,60857,13737,61680, 567,60857,46863,61685,
+55211,60857,44243,60857, 6625,61690,42383,61690,58116,61690,42155,61690,
+56555,61698,56555,61690,42155,61702, 1505,60857,38057,61706, 288,60857,
+46863,61711,48466,60857,56555,61714, 11,60857, 340,61719, 341,61719,
+ 264,61718,61721,61725, 7,61719, 265,61728,61725,61731, 265,61729,
+ 264,61719,61735,61737,56555,61719,57859,61741, 9,61743, 483,61718,
+ 4579,61747,15899,61747, 3195,61747, 1965,61747, 265,61719, 7,61756,
+61725,61759,56555,61718,57852,61763,57811,61763, 9,61766, 9,61763,
+57811,61770, 265,61718,61723,61775,46863,61775, 9,60857, 8213,61780,
+ 8052,61780, 7971,61780, 113,61786,36527,61780,58782,61780,58362,61780,
+ 8241,61780, 113,61780, 7971,61798,35761,61780,50958,61780, 483,61780,
+56555,61806, 1011,61780,49713,61810,38305,61780,38299,61815,37897,61815,
+ 7961,61815, 7951,61815,35893,61815, 7953,61815, 1275,61815, 7947,61829,
+49713,61780, 1011,61832,56555,61780,46863,61836, 483,61836,46863,61780,
+56555,61842, 7563,60857, 1275,61847, 7565,61849, 7569,61849, 7573,61849,
+ 7065,60857,35187,61857,10089,60857, 16,61861, 16,61860, 17,61861,
+61865,61867, 17,61860,61863,61871,10257,60857, 903,61874, 8241,60857,
+ 9,61878, 3255,60857, 9,61883,48789,60857, 16,61887, 16,61886,
+ 17,61887,61891,61893, 17,61886,61889,61897,37357,60857, 903,61900,
+ 3499,60857, 9,61905, 3445,60857, 9,61909,38184,60857, 375,61913,
+16722,60857,16543,61917,16679,61917,16537,61917,35187,61916,13922,60857,
+13753,61927, 4805,60857, 375,61930,16683,60857,16565,61934, 375,61934,
+ 6515,60857, 9,61941,59824,60857,60369,61945, 9,61945, 9520,60857,
+ 9,61951,16711,60857,16659,61954, 8,60856, 3,61959, 6,61960,
+61601,61963,61815,61963, 6,61959, 3,61968,61601,61971,61815,61971,
+61829,61959,61621,61959, 1274,61959,61815,61981,61601,61981, 16,60856,
+ 10,60856, 5,61989, 0,61990,61585,61993,61747,61993, 0,61989,
+ 5,61998,61585,62001,61747,62001,57811,61989,59933,61989,59743,61989,
+ 8093,61989, 3837,61989,39619,61989,51421,61989,53703,61989,42435,61989,
+ 4287,61989, 4303,61989,53487,61989,42113,61989, 9839,61989, 9579,61989,
+ 9,61989, 113,62036, 128,61989, 101,61989, 113,61989, 9,62044,
+57859,60857,57915,62048, 9,62051, 9,62049,57915,62055, 11,60856,
+ 483,62059, 9,60856,57889,62063, 5185,62063,11243,62063,12557,62063,
+11251,62063, 5177,62063, 16,60857,57293,62077,35603,62077,58669,62077,
+59079,62077,55005,62077, 17,60856,61685,62089, 483,62089, 15,60856,
+40829,62095, 10,60857,21183,62099, 759,62099, 47,62099, 959,62099,
+ 203,62099, 107,62099, 85,62099, 67,62099, 9,62115, 113,60857,
+ 8150,62118,17727,62118,13737,62118, 9,62118, 7971,62126,17025,62118,
+ 7971,62118, 9,62132,10385,60857, 9,62137, 33,62139, 33,62136,
+ 9,62143, 165,60857,17049,62146,17025,60857, 1275,62151, 7947,62153,
+48739,62153,17637,62153,17029,62153,37241,62153, 113,62150,17049,60857,
+ 165,62166,10247,60857,37347,60857,10249,60857,16659,60857,16711,62176,
+37408,60857,56555,62180,16531,62180, 340,60857,51803,62187, 331,62187,
+ 1325,62187, 59,62187,52439,60857,56555,62196,52563,60857, 265,62201,
+ 1413,60857,56555,62204, 256,60857,56555,62208,38305,62208, 566,60857,
+61987,62215, 9377,62215,37325,62215,10219,62215, 959,62215, 47,62215,
+ 759,62215, 587,62215,20763,62215,42810,60857,43073,62235,42827,62235,
+58703,62235,60849,62235,58027,62235,42821,62235, 1325,62235, 59,62235,
+ 331,62235, 265,62235,42613,62235,56555,62257, 241,62234, 580,60857,
+20033,62263,59143,62263,60601,62263,58029,62263,55210,60857,31103,62273,
+37375,60857, 1347,60857,37409,60857, 375,62280, 375,60857,58905,62284,
+16683,62284, 4805,62284,58126,62284, 6625,62284, 2079,62284,51937,62284,
+ 305,62284,56555,62300,56555,62284, 305,62304,37409,62284, 803,60857,
+37608,60857, 305,60857,60205,62314,57470,62314, 375,62314,56555,62320,
+56555,62314, 375,62324,58116,60857,44243,62328,58126,60857, 375,62332,
+42155,60857,58056,62336,44243,62336,56555,62340, 483,62336,48753,62345,
+44451,62345,10081,62345,56555,62336,44243,62352,53517,60857, 483,62356,
+48753,62359,10081,62359, 251,60857,38305,62364, 331,62367, 1325,62367,
+ 59,62367, 555,60857,38305,62374, 331,62377, 1325,62377, 571,62377,
+ 59,62377,60612,60857, 7,62387,36273,60857, 7,62391,59787,60857,
+60619,62394, 9,62397, 5,62394,60369,62401, 9,62401, 5,62395,
+60327,62407,60719,62407,57901,62407, 17,62407,59381,60857,60455,62416,
+ 7,62419, 9513,60857, 5,62423, 17,62425, 5,62422, 9,62429,
+58362,60857, 903,62432, 9,62432,58348,60857, 7,62438,58782,60857,
+ 903,62442, 9,62442,58396,60857, 7,62448,58742,60857, 9,62453,
+ 483,62452,46863,62452,60763,60857, 7,62461, 903,60857,58782,62464,
+58362,62464,37357,62464,10257,62464, 483,62464,56555,62474,46863,62464,
+56555,62478,56555,62464, 9,62483,46863,62482, 483,62482,38057,62464,
+ 7,62491, 265,60857,46863,62495, 11,62497, 11,62494,46863,62501,
+ 7,62494,51803,62505, 331,62505, 1325,62505, 59,62505, 7,62495,
+ 375,62515,35187,60857,59960,62518,16722,62518, 7,62518,56555,62524,
+16531,62524,56555,62518, 7,62530,16531,62518, 7,62534,46863,60857,
+36527,62538,58742,62538,57522,62538,12377,62538, 6685,62538, 1011,62538,
+ 903,62538,56555,62552, 9,62538,56555,62556,56555,62538, 903,62560,
+ 9,62560,36527,60857, 7,62567, 331,62569, 9,62566,46863,62566,
+ 483,62566, 7,62566, 375,62579,38305,60857,42109,62582,42103,62585,
+ 1205,62583, 1203,62589, 1007,62583, 1009,62593, 1203,62582, 1205,62597,
+ 1009,62582, 1007,62601, 177,62582, 59,62605, 1365,62582, 1325,62609,
+ 571,62583, 555,62613, 97,62583, 21,62617, 5,62582, 6,62621,
+ 5,62622,62583,62625, 2,62622,62627,62629, 2,62621, 6,62632,
+ 482,62621, 3,62582, 6,62639, 3,62640,62583,62643, 4,62640,
+62645,62647, 4,62639, 6,62650, 8,62639, 14,62582, 6,62657,
+ 2,62658, 2,62657, 6,62662, 482,62657, 1274,62582, 6,62669,
+ 4,62670, 4,62669, 6,62674, 8,62669, 256,62582, 629,62582,
+ 555,62582, 59,62685, 331,62685, 1325,62685, 571,62685, 21,62582,
+ 1325,62695, 331,62695, 59,62695, 97,62695, 1325,62583, 1365,62705,
+ 251,62705, 21,62705, 555,62705, 59,62583, 177,62715, 251,62715,
+ 555,62715, 21,62715, 251,62582, 331,62725, 59,62725, 1325,62725,
+ 331,62583, 251,62733, 555,62733, 21,62733, 15,62583,10085,62741,
+10093,62741,62661,62741,62665,62741,40909,62741,62629,62741,62635,62741,
+ 3,62741,10087,62741,62637,62741,62667,62741, 483,62741,10081,62765,
+62621,62765,62657,62765, 1275,62583,10005,62773,10041,62773,62673,62773,
+62677,62773,62647,62773,62653,62773, 5,62773,10009,62773,23879,62773,
+31937,62773,30399,62773,62655,62773,62679,62773, 9,62773,10001,62801,
+62639,62801,62669,62801, 483,62582,39485,62809,39481,62809, 9525,62809,
+ 9517,62809, 4,62809,62773,62819,62787,62809,42103,62809,41989,62809,
+ 9519,62809,41995,62809,57855,62809,60853,62809,60609,62809,39487,62809,
+ 15,62809, 9513,62841,41941,62841,39477,62841, 9,62582,61971,62849,
+61963,62849, 7961,62849, 7951,62849, 2,62849,62741,62859,62757,62849,
+ 7953,62849,35893,62849,38299,62849,37897,62849,61981,62849, 1275,62849,
+ 7947,62875,61959,62875, 6,62582, 7,62582,58703,62883,58027,62883,
+60849,62883, 59,62883, 1325,62883, 331,62883, 265,62883,42613,62883,
+56555,62899, 241,62882, 7,62583,58715,62905,58056,62905,40799,62905,
+ 375,62905,56555,62905,44243,62914,44243,62905,56555,62918, 265,62583,
+ 375,62923,62881,62923, 241,62582, 6,62928, 7,62928, 6,62929,
+62933,62935, 7,62929,62931,62939, 1011,60857,52756,62942,46863,62942,
+ 483,62942, 9,62942,49713,62950,49713,62942, 9,62954, 7,62943,
+10107,62959,53813,62959,49713,60857,22807,62965, 1108,62964, 295,62964,
+ 9,62964, 1011,62972, 1011,62964, 9,62976, 4,62964,31103,62981,
+ 241,60857,59960,62984,42810,62984, 7,62984,56555,62990,38305,62990,
+56555,62984, 7,62996,38305,62984, 6,63000, 7,63000, 6,63001,
+63005,63007, 7,63001,63003,63011, 483,60857, 9527,63014, 9525,63017,
+17053,63014,10081,63021,11759,63015, 7971,63025,44451,63015,42155,63029,
+ 0,63014, 5,63033, 0,63034,63015,63037, 7,63034,63039,63041,
+ 7,63033, 5,63044, 10,63033, 6,63014, 5,63051, 6,63052,
+63015,63055, 1,63052,63057,63059, 1,63051, 5,63062,38304,63051,
+ 14,63014, 5,63069, 1,63070, 1,63069, 5,63074,38304,63069,
+36527,63014,58742,63014,57522,63014,12377,63014, 6685,63014, 7971,63014,
+48753,63091,10081,63091,11759,63091,42155,63014,10081,63099,48753,63099,
+44451,63099,10081,63015,17053,63107,53517,63107,42155,63107, 7971,63107,
+53517,63014,48753,63117,10081,63117,48753,63015,53517,63123, 7971,63123,
+42155,63123,36293,63014, 17,63015, 11,63015, 9,63014,56555,63136,
+ 15,63015, 1995,63141, 3755,63141,63073,63141,63077,63141, 5303,63141,
+63059,63141,63065,63141, 0,63141,38403,63141,39943,63141, 4917,63141,
+17013,63141,63067,63141,63079,63141,38305,63141, 59,63171,63051,63171,
+63069,63171, 903,63014,56555,63178, 1011,63014, 11,63014,61993,63185,
+62001,63185, 3195,63185, 1965,63185, 1,63185,63141,63195,63157,63185,
+ 4579,63185,15899,63185,38305,63014,39481,63205,39485,63205,42103,63205,
+41989,63205, 7,63205, 9525,63205, 9517,63205,41995,63205, 9519,63205,
+57855,63205,60609,63205,60853,63205,39487,63205, 15,63205,41941,63233,
+ 9513,63233,39477,63233, 4,63014,20033,63241,59143,63241,60601,63241,
+58029,63241,63133,63241, 5,63014,61987,63253, 9377,63253,37325,63253,
+10219,63253, 959,63253, 47,63253, 759,63253, 587,63253,20763,63253,
+ 4,63015, 7,63272,63253,63275,20029,63273,59147,63273,21103,63273,
+19781,63273,19301,63273,62773,63273, 5,63015, 803,63291,56555,63014,
+ 903,63294, 9,63294,40674,60857, 6,63300, 7,63300, 6,63301,
+63305,63307, 7,63301,63303,63311,38266,60857, 7,63315,36752,60857,
+ 7,63318,16937,60857, 580,63322, 483,63322, 4,63327, 4,63326,
+49631,63322,49630,63322, 581,63322, 4,63322, 483,63338,46863,63338,
+ 5,63322,63329,63345, 4,63323,63333,63349,63337,63349, 5,63323,
+63335,63355,63325,63355,63331,63355,63341,63355,63343,63355,46863,63322,
+ 4,63366,63355,63369, 4,63367,63345,63373,38057,60857, 5,63376,
+ 6,63379, 6,63378, 14,63376, 15,63376, 1505,63376, 6,63376,
+ 5,63390, 7,63376,63381,63395, 375,63395, 6,63377,63387,63401,
+ 7,63377,63393,63405,63383,63405,38161,63405, 59,63405,63385,63405,
+ 331,63405, 1325,63405, 265,63405, 903,63376, 7,63423,16531,60857,
+ 1275,63427,16711,63429,37408,63426, 7,63426,16543,63435,16679,63435,
+16537,63435,35187,63434, 7,63427,16565,63445,35187,63426, 7,63448,
+12377,60857, 9,63453,46863,63452, 483,63452,17635,63452,13737,60857,
+ 113,63462,11731,63462, 5,63462,13753,63469, 5,63463,13751,63473,
+13917,63473,13743,63473,60619,60857,59787,63480, 9,63483,60455,60857,
+59381,63486, 7,63489, 5,60856,45491,63493,42800,63493,59694,63493,
+10374,63493,60563,63493, 9606,63493,42134,63493, 629,63493, 705,63493,
+ 101,63493, 299,63493, 828,63493, 128,63493, 394,63493,48122,63493,
+ 803,63493, 483,63524,42613,63493, 17,63528,51992,63493, 375,63493,
+ 241,63534,49713,63534,10291,63493, 17,63540, 256,63493, 113,63493,
+ 9,63546, 17,63493,42613,63550,10291,63550,59619,63550, 9565,63550,
+41941,63550, 9,63493, 113,63562, 7,63493,21605,63567, 241,63566,
+ 7,63492,59933,63573,59743,63573,57811,63573, 8093,63573, 3837,63573,
+53703,63573, 4287,63573,42435,63573, 4303,63573,53487,63573, 9839,63573,
+42113,63573, 9579,63573,39619,63573,51421,63573,31103,63493,46863,63493,
+12377,63606, 483,63493, 803,63610,49713,63493, 375,63614,56555,63493,
+ 5,63619, 6,63621, 6,63620, 14,63619, 15,63619, 6,63618,
+63629,63631, 7,63618,63625,63635,63627,63635, 7,63619,63623,63641,
+ 6,63619, 5,63644,63635,63647, 241,63493, 375,63650, 7,63650,
+59619,63493, 7,63657, 17,63656,12377,63493,46863,63662, 9565,63493,
+ 7,63667, 17,63666,41941,63493, 7,63673, 17,63672, 4,60856,
+20305,63679, 9641,63679, 9645,63679,20309,63679,21081,63679,20323,63679,
+20387,63679, 3,63679, 6,63694,61601,63697,61815,63697,62849,63697,
+ 6,63695, 9701,63679, 1274,63679,61815,63709,61601,63709,62849,63709,
+61829,63679,61621,63679,62875,63679, 9719,63679,43005,63679,58056,63679,
+ 386,63679, 347,63679, 767,63679,31103,63733, 524,63679, 9617,63737,
+20273,63737, 1291,63679, 9617,63743,20273,63743, 305,63679, 375,63748,
+ 375,63679, 305,63752,44243,63679,56555,63756, 11,63679, 483,63760,
+ 9617,63763,20273,63763, 7,63679,38305,63769,56555,63771, 6,63679,
+ 4,63775, 3,63774,61601,63779,61815,63779,62849,63779, 4,63774,
+62582,63787,63779,63789,38305,63787,60857,63792,63779,63795,60857,63787,
+38305,63798,63779,63801, 7,63678,63253,63805,62215,63805, 483,63679,
+ 11,63810, 9617,63813,20273,63813,56555,63679,44243,63818, 7,60856,
+40787,63823,40793,63823, 0,63823, 5,63828,61475,63831,61585,63831,
+61747,63831,63185,63831,36001,63823,26106,63823,32103,63823,41746,63823,
+43005,63823, 8800,63823,59910,63823,36539,63823,37595,63823,36049,63823,
+63253,63823,62215,63823,61305,63823,48975,63823,48245,63823,48451,63823,
+60707,63823, 386,63823, 347,63823, 510,63823,60755,63823, 9852,63823,
+53500,63823,36041,63823,37573,63823,36275,63823, 375,63823, 305,63892,
+ 273,63823, 281,63823, 1477,63823, 1516,63823, 948,63823,40704,63823,
+10001,63907,27533,63907, 8495,63823, 11,63912,48885,63823, 483,63917,
+41019,63823, 11,63920, 567,63823,63493,63925, 165,63823, 903,63928,
+ 11,63823,25793,63932,41019,63932, 8495,63932,59875,63932, 9805,63932,
+53391,63932,60618,63823, 483,63947, 9,63823, 483,63950,38305,63950,
+27533,63955,10001,63955, 1505,63823, 1011,63960, 305,63823, 375,63964,
+ 4,63823,63610,63969,63291,63969,63493,63969, 483,63974, 483,63969,
+63493,63978,56555,63968, 483,63983, 5,63823, 7,63987, 1275,63989,
+60857,63991, 0,63986,61475,63995,61585,63995,61747,63995,63185,63995,
+63993,63995, 7,63986,63014,64007,63995,64009, 483,64007,60857,64012,
+63995,64015,60857,64007, 483,64018,63995,64021, 4,63822,63253,64025,
+62215,64025, 5,63822,59743,64031,59933,64031,57811,64031, 8093,64031,
+ 3837,64031,42435,64031, 4303,64031,53703,64031, 4287,64031,42113,64031,
+ 9579,64031,53487,64031, 9839,64031,51421,64031,39619,64031,25793,63823,
+ 11,64062, 903,63823, 165,64066,38305,63823, 9,64070,27533,64073,
+10001,64073, 1011,63823, 1505,64078,56555,63823, 4,64082, 483,64085,
+ 483,63823, 9,64088,59875,63823, 11,64092, 5,64093, 9805,63823,
+ 11,64098, 5,64099,53391,63823, 11,64104, 5,64105, 6,60856,
+60454,64111,60369,64113, 5,64111,56555,64116,60369,64119,56555,64111,
+ 17,64122, 4,64122, 7,64126, 5,64122,60369,64131, 5,64123,
+60327,64135,60719,64135,64129,64135,57901,64135, 4,64123,64125,64145,
+ 7,60857,16539,64149,16683,64151, 264,64149, 264,64148, 3,64149,
+16530,64158,16530,64159, 1,64158,58396,64148,58348,64148,36527,64148,
+ 375,64171,40674,64148,36752,64148, 331,64149, 1325,64149, 59,64149,
+38057,64148, 375,64185,16531,64148,64161,64189,16543,64189,16679,64189,
+16537,64189,35187,64188, 17,64149, 241,64201,38305,64149,42383,64205,
+ 6625,64205,58116,64205,42155,64205,56555,64212,56555,64205,42155,64216,
+16531,64149,64163,64221,16659,64221,48885,64149,56555,64227, 15,64149,
+ 483,64231,38305,64231,27533,64235,64165,64235,10001,64235,35187,64148,
+56555,64242,16531,64242, 265,64148,64155,64249,51803,64249, 331,64249,
+ 1325,64249, 59,64249, 241,64148,56555,64260,38305,64260,38305,64148,
+58703,64267,58027,64267,60849,64267, 59,64267, 1325,64267, 331,64267,
+ 265,64267,42613,64267,56555,64283, 241,64266, 265,64149,64157,64289,
+41941,64289,51229,64289, 4213,64289, 8757,64289, 9565,64289,59619,64289,
+ 305,64289, 713,64289, 25,64289, 8165,64289, 9617,64289,20273,64289,
+ 4,64148,57293,64317,35603,64317,58669,64317,59079,64317,55005,64317,
+ 5,64148, 3,64329, 1,64331,64205,64333,21183,64329, 759,64329,
+ 47,64329, 959,64329, 4,64149,43053,64345,54985,64345,54129,64345,
+51601,64345,58782,64345,46863,64345,56555,64356,56555,64345,46863,64360,
+ 5,64149, 803,64365, 1275,64149, 9,64369,56555,64148,25793,64373,
+ 8495,64373,41019,64373,35187,64372, 241,64372,59960,60857,25793,64385,
+41019,64385, 8495,64385, 241,64384,35187,64384, 5,60857,60079,64396,
+60369,64399, 0,64396,63743,64403, 1290,64403,63679,64407,63737,64403,
+ 525,64403,63679,64413,63763,64403,63813,64403, 17,64403, 1275,64420,
+63679,64423, 1275,64403, 17,64426,63679,64429, 3,64396, 6,64433,
+ 759,64397, 483,64437,64025,64397, 483,64441,63823,64397, 483,64445,
+ 9377,64397, 483,64449, 9513,64396, 9,64453, 959,64397, 483,64457,
+37325,64397, 483,64461, 47,64397, 483,64465,10219,64397, 483,64469,
+59787,64396,60369,64473, 9,64473,13737,64396,13753,64479,49713,64397,
+61987,64397, 483,64485, 9,64397,42613,64489,59619,64489,10291,64489,
+ 9565,64489,41941,64489, 17,64397, 113,64501,63805,64397, 483,64505,
+20763,64397, 483,64509, 483,64396,64025,64513,63823,64513,61987,64513,
+63805,64513, 9377,64513,37325,64513,10219,64513, 959,64513, 47,64513,
+ 759,64513, 587,64513,20763,64513, 587,64397, 483,64539, 7,64396,
+21183,64543, 759,64543, 47,64543, 959,64543, 6,64397,56555,64553,
+ 4,64554, 5,64554, 5,64555,64557,64561, 4,64555,64559,64565,
+ 7,64397, 0,64569, 5,64570, 5,64569, 0,64574,21105,64569,
+21549,64569,19625,64569, 1275,64569,60857,64585,64573,64587,64577,64587,
+63679,64397,63705,64593,64435,64593,31103,64593, 375,64593, 7,64593,
+64433,64603, 903,64397, 375,64607, 7,64607,35187,64397,60796,64612,
+60797,64612,31103,64613,60797,64613,64615,64621, 375,64613,60796,64613,
+64617,64627,56555,64397,59787,64631, 9,64633,56555,64396,59914,64637,
+60221,64637,59875,64637, 9,64642,60369,64637, 9,64637,59875,64648,
+60454,60857,59914,64653,60221,64653,59875,64653, 9,64658,60369,64653,
+ 9,64653,59875,64664, 4,60857, 8743,64669, 8605,64669, 8672,64669,
+ 8647,64669, 305,64676, 3795,64669,10025,64669,27603,64669,31524,64669,
+31690,64669,31700,64669,63569,64669,46862,64669, 0,64669, 2,64696,
+ 6,64696, 6,64697,63604,64669,24655,64669,63534,64669, 8916,64669,
+62092,64669,63133,64669,48408,64669, 713,64669,31103,64718, 305,64669,
+ 8647,64722,31103,64722, 25,64669,31103,64728, 340,64669, 8717,64733,
+ 3785,64733, 8495,64733, 483,64669,62089,64740,46863,64740, 375,64669,
+63493,64746, 8861,64746,62089,64669, 483,64752, 15,64669, 483,64757,
+20273,64759, 9617,64759,64403,64759,64699,64759,31103,64669, 305,64768,
+ 713,64768, 25,64768,63493,64768,49713,64769, 483,64668,20033,64781,
+59143,64781,58029,64781,60601,64781,49713,64668,31103,64791,46863,64669,
+ 483,64794, 6,64668,64795,64799, 2,64801, 3,64800,64803,64805,
+ 3,64801, 2,64800,64809,64811, 7,64668,57293,64815,64695,64815,
+ 2,64819, 3,64818,64821,64823, 3,64819, 2,64818,64827,64829,
+64701,64815, 2,64833, 3,64832,64835,64837, 3,64833, 2,64832,
+64841,64843,35603,64815,59079,64815,58669,64815,55005,64815, 6,64669,
+ 0,64854,64815,64857, 2,64859, 3,64858,64861,64863, 3,64859,
+ 2,64858,64867,64869, 7,64669,60857,64873, 264,64874, 264,64875,
+ 1,64873, 264,64880, 264,64881,64703,64873, 2,64887, 3,64886,
+64889,64891, 3,64887, 2,64886,64895,64897,25793,64873,41019,64873,
+ 8495,64873, 305,64905,59875,64873,53391,64873, 9805,64873,38305,64873,
+ 483,64915, 265,64872, 8717,64919,64883,64919,64877,64919, 3785,64919,
+ 8495,64919, 265,64873,64885,64931,64879,64931,63493,64931, 8861,64931,
+46863,64931, 8861,64669, 375,64942,63493,64669,31103,64946, 375,64946,
+ 265,64669, 7,64952, 8717,64955, 3785,64955, 8495,64955, 7,64953,
+ 8647,64963,56555,64669,59381,64967, 7,64969,56555,64668,31103,64973,
+ 375,64973,59712,64973, 7,64973, 265,64981,59619,64980,59619,64973,
+ 7,64986,60618,60857,31103,64991, 375,64991,59712,64991, 7,64991,
+ 265,64999,59619,64998,59619,64991, 7,65004, 6,60857, 264,65009,
+64746,65011, 375,65011,64669,65014,64931,65011,64669,65011, 375,65020,
+ 264,65008,64733,65025, 341,65025,64669,65029,64955,65025,64919,65025,
+ 3,65008, 341,65037,64669,65039,63907,65037,40705,65037,63823,65045,
+64235,65037,63955,65037,64073,65037, 17,65037,64953,65009, 375,65057,
+ 4,65009, 1274,65061, 3,65061, 6,65064, 6,65061, 3,65068,
+56555,65008,60796,60857,56555,60857, 386,65076,45432,65076, 347,65076,
+43099,65076,60418,65077,60327,65087,59961,65077, 5,65091,60369,65093,
+ 5,65090,60327,65097, 18,65076, 12,65076, 1291,65076,48561,65076,
+ 525,65076,49630,65076, 580,65076, 1170,65076,37408,65076, 256,65076,
+52439,65076, 629,65076, 1413,65076,47640,65076, 922,65076,49631,65076,
+ 581,65076, 1171,65076,44243,65076,42155,65136, 375,65076, 305,65140,
+48466,65076, 510,65076, 13,65077,65103,65149, 19,65077,65101,65153,
+ 13,65076, 18,65077, 19,65076,65159,65161, 12,65077,65157,65165,
+57915,65165, 14,65077,57901,65171,60719,65171,60327,65171,65115,65171,
+ 17,65171, 10,65077, 9,65183, 16,65076,65171,65187, 10,65076,
+65165,65191,48560,65076, 524,65076, 1290,65076, 11,65076,65149,65201,
+57852,65201,65184,65201,65183,65201, 9,65208,57811,65201, 9,65212,
+ 9,65201,65183,65216,57811,65216,46863,65200, 483,65200, 9,65076,
+ 483,65226,46863,65226, 17,65076, 1275,65232, 11,65077,65191,65237,
+ 9,65239,57915,65237, 9,65243, 9,65236,65191,65247,57915,65247,
+ 9,65077, 11,65253,65183,65255,57811,65255, 11,65252,65191,65261,
+57915,65261, 15,65077,65233,65267,65135,65267, 305,65076, 375,65272,
+42155,65076,44243,65276, 1011,65076, 7,65281, 7,65280,65171,65285,
+ 15,65281, 241,65076, 7,65290, 483,65076, 4,65295, 4,65294,
+ 903,65294, 9,65294, 11,65294, 903,65076, 9,65307,46863,65306,
+ 483,65306,35187,65076, 7,65314, 1275,65076, 17,65318,46863,65076,
+ 4,65323, 4,65322, 903,65322, 9,65322, 11,65322, 7,65077,
+ 9,65335, 11,65335, 567,65335, 4,65335, 483,65343, 5,65335,
+ 5,65334,65343,65349, 4,65334,65347,65353, 6,65076,65350,65357,
+65355,65357,65289,65357,65349,65357,65343,65364,65343,65357,65349,65368,
+ 11,65357,65346,65357,65353,65375, 5,65357,65335,65379,65349,65381,
+65335,65378,65353,65385,65335,65357, 4,65389, 5,65389,65343,65393,
+ 4,65388,65393,65397, 5,65388,65391,65401,65353,65401, 5,65077,
+60629,65407,59960,65406,59960,65407,38185,65407,57993,65407,65115,65407,
+65113,65407,65111,65407,59961,65406,65413,65425,60327,65425,65197,65407,
+65195,65407,65105,65407,60251,65407,58313,65407,65299,65407,65327,65407,
+65285,65407,65225,65407,65223,65407,65305,65407,65333,65407,56555,65407,
+ 7,65454, 7,65455,59961,65407,60359,65461,65411,65461, 11,65461,
+ 1171,65407,65335,65469,65335,65407,65187,65407,57901,65407,60327,65407,
+60719,65407, 17,65407,65335,65483,59875,65483,64385,65407,64373,65407,
+ 6,65407,65459,65493,60755,65493,65283,65493, 11,65493, 7,65407,
+56555,65502, 7,65406,65461,65507,65493,65507, 6,65406,65505,65513,
+65457,65513,60719,65513,65413,65513,60327,65513,57901,65513,65187,65513,
+65115,65513,65285,65513,65503,65513, 17,65513, 4,65076, 2,65537,
+ 7,65539,65407,65541,65510,65537,65533,65537,65507,65537,65493,65548,
+31103,65537,65493,65537,65507,65554, 483,65536,65407,65559,46863,65536,
+65407,65563, 375,65537, 15,65537,65357,65569, 7,65536,65513,65573,
+65171,65573,65407,65573,59712,65537,65502,65537,65513,65583, 7,65537,
+65493,65587,65407,65587,65507,65591, 265,65587,59619,65586,65407,65586,
+65513,65599,59619,65537, 7,65602,65407,65537, 6,65607, 7,65607,
+65493,65611, 6,65606,65611,65615, 7,65606,65609,65619,65513,65619,
+ 4,65077,65135,65625,65133,65625,65131,65625,65372,65625,65199,65625,
+65109,65625,65107,65625,65235,65625,65321,65625, 11,65625,65357,65644,
+65233,65625,65357,65625, 11,65650,65075,65625,65073,65625, 7,65625,
+60455,65625, 7,65661, 5,65076, 2,65664,65625,65667, 1,65664,
+ 3,65664, 0,65664,65625,65675,59914,65665,60221,65665,65336,65665,
+65297,65665,65325,65665,59875,65665, 9,65688,65659,65665,65667,65693,
+65675,65693,60369,65665, 9,65665,65335,65700,59875,65700,65335,65665,
+ 9,65706,65658,65665,65671,65711,65673,65711, 6,65665,65668,65717,
+65676,65717,65667,65717,65625,65722,65675,65717,65625,65726,65625,65717,
+65667,65730,65675,65730, 7,65665,65671,65737,65625,65739,65673,65737,
+65625,65743,65625,65736,65671,65747,65673,65747,65625,65665, 6,65753,
+ 7,65753, 6,65752,65757,65759, 7,65752,65671,65763,65673,65763,
+65755,65763, 6,65077,60619,65771, 9,65773, 17,65771,65625,65777,
+65537,65771, 9,65781, 5,65771,60369,65785, 9,65785, 5,65770,
+65573,65791,60327,65791,60719,65791,57901,65791,65187,65791,65115,65791,
+65285,65791, 17,65791, 7,65076,25793,65809,41019,65809, 8495,65809,
+ 1011,65808,65513,65817,65791,65817,65407,65817,65171,65817, 241,65808,
+35187,65808, 15,65809,65665,65831,65407,65809, 11,65835, 4,65808,
+65791,65839,65513,65839,65171,65839,65407,65839, 4,65809,65785,65849,
+65665,65849,65771,65809, 4,65855, 5,65855, 4,65854,65859,65861,
+ 5,65854,65857,65865, 1, 4,49284,65869,49311,65869,48330,65869,
+48279,65869,47548,65869,47076,65869,47078,65869,48581,65869,48584,65869,
+54254,65869,54260,65869,54266,65869,54222,65869, 8672,65869, 8743,65869,
+ 3795,65869, 8605,65869, 8647,65869, 305,65904,27021,65868,31103,65909,
+27377,65910,31894,65909,27377,65909,31103,65916, 21,65868,57577,65921,
+59109,65921,19987,65921,57381,65921,59787,65868,57577,65931,57381,65931,
+57253,65931,59109,65931,15390,65869,15383,65941,44768,65869,44663,65945,
+48284,65869,37897,65949,44243,65869,37845,65953,45411,65955,37845,65952,
+44663,65959,37845,65869,44243,65963,45381,65965,44243,65962,44663,65969,
+46863,65962,37897,65973, 1175,65869,56555,65977, 1177,65979,49215,65869,
+ 9,65983,49229,65985,56709,65869, 1009,65989,54641,65869,54643,65993,
+60737,65868,60749,65997,11355,65868,11495,66001,57793,65868,57577,66005,
+57381,66005,59109,66005,59715,65869,56555,66013,59717,66015, 7959,65869,
+ 9,66019, 7961,66021,49534,65869,49537,66025,19086,65869, 1203,66029,
+49529,65869, 15,66032,49537,66035,19064,65869, 1009,66039,54668,65869,
+54643,66043, 1205,65869,18967,66046, 1203,66049,19949,65868,19987,66053,
+ 1425,65868,57253,66057, 668,65868, 1,66061, 2,66062, 2,66061,
+ 1,66066,56554,66061,58930,65868, 4,66073, 6,66074, 6,66073,
+ 4,66078, 8,66073,19965,65868,19987,66085,56745,65868,57253,66089,
+60136,65869,59787,66093, 571,65869,18967,66096, 555,66099,16091,65869,
+ 15,66102, 9513,66105,19078,65869, 21,66109,54655,65869, 15,66112,
+54643,66115, 1007,65869,18967,66118, 1009,66121,60125,65869, 15,66124,
+59787,66127,19088,65869, 555,66131,16092,65869, 9513,66135, 97,65869,
+18967,66138, 21,66141,20347,65869,18967,66144,20345,66147,10095,65869,
+ 15,66150,10093,66153,20348,65869,20345,66157,10096,65869,10093,66161,
+32468,65869,27323,66165,33442,65869,48368,65869,32469,65869,65909,66173,
+28483,65869,28479,65869,63604,65869,31690,65869,31700,65869,31524,65869,
+31596,65869,32464,65869,53380,65869,25037,65869,24655,65869,25457,65869,
+23005,65869,27603,65869,22591,65869,23105,65869,23357,65869,23113,65869,
+ 120,65869,46863,66212, 77,65869,46863,66216,54154,65869,54225,66220,
+56328,65869,58298,65869,58868,65869,52752,65869,52370,65869,58344,65869,
+57253,65869,59787,66237, 1425,66237,56745,66237,19987,65869, 21,66245,
+19949,66245,19965,66245,25215,65869,48583,65869, 113,66254,25459,65869,
+31920,65869,32263,65869,23099,65869,23107,65869,24631,65869,22915,65869,
+22589,65869,65294,65869,65322,65869,63534,65869,54256,65869,54129,66280,
+25305,65869,32295,65869,31796,65869,62092,65869,63133,65869,22785,65869,
+22803,65869,22951,65869,24735,65869,23012,65869,25546,65869,47364,65869,
+25548,65869,62442,65869,63294,65869,62432,65869,62560,65869,57577,65869,
+ 21,66319,59787,66319,57793,66319,57381,65869,59787,66327, 21,66327,
+57793,66327,59109,65869, 21,66335,59787,66335,57793,66335,48578,65869,
+ 33,66343,48276,65869, 33,66347,49308,65869, 33,66351,59340,65869,
+63135,65869,61464,65869,61580,65869,61578,65869,62946,65869,62950,65869,
+62550,65869,61810,65869,63182,65869,62948,65869,57660,65869,57766,65869,
+62060,65869,57772,65869,22767,65869,19810,65869, 251,66387, 555,66387,
+ 1365,66387, 21,66387, 9994,65869, 9513,66397,16859,66397,59787,66397,
+20620,65869,59787,66405,21529,66405, 9513,66405,19372,65869, 251,66413,
+ 21,66413, 177,66413, 555,66413,20823,65869,59787,66423,21529,66423,
+20771,66423, 9513,66423,57971,65869, 21,66433, 251,66433, 177,66433,
+ 159,66433, 555,66433,25303,65869, 11,66445,24739,65869,29028,65869,
+57658,65869,57620,65869,48328,65869, 113,66456,19806,65869, 251,66461,
+ 555,66461, 21,66461, 8916,65869,54262,65869,46863,66470,54219,65869,
+46863,66474,32556,65869, 759,66479, 7061,65869, 3,66483, 2,66483,
+ 842,66483, 843,66482,66489,66491, 843,66483, 842,66482,66495,66497,
+ 3,66482,66487,66501, 2,66482,66485,66505,47546,65869, 25,66508,
+49283,65869, 25,66512,47600,65869,48444,65869,47572,65869,62146,65869,
+17476,65869,23010,65869,63184,65869,61584,65869,48558,65869,47408,65869,
+25460,65869,61474,65869,47372,65869,61746,65869,47632,65869,17538,65869,
+47634,65869,47676,65869,48112,65869,47412,65869, 5886,65869,48095,65869,
+ 1072,65869,60857,66560,48408,65869,49713,66564, 241,66564, 587,66565,
+ 903,66564,48420,65869,61780,65869, 1011,66576,47640,65869, 1011,66580,
+ 483,66580,47590,65869, 483,66586,47672,65869,47368,65869, 1413,65869,
+46863,66594,52692,65869,46863,66598,47370,65869, 922,65869,46863,66604,
+49075,65869,49395,65869,48586,65869,10025,65869, 1281,65869,46863,66616,
+ 1291,65869,60857,66620, 669,65869,66065,66625,66069,66625,40909,66625,
+ 1821,66625, 1879,66625,38973,66625, 3,66625,38971,66639,57911,66625,
+17041,66625, 4897,66625,56739,66625,66071,66625,56555,66625, 671,66653,
+66061,66653,25381,65869, 11,66659, 11,66658,58931,65869,66077,66665,
+66081,66665,58715,66665,58975,66665,58981,66665,59089,66665, 7,66665,
+59079,66679,23879,66665,30399,66665,31937,66665,58983,66665,66083,66665,
+ 9,66665,58967,66693,66073,66693,58782,65869,49713,66698,60857,66698,
+ 11,66699, 1108,65869,60857,66706,62089,65869, 483,66710, 4802,65869,
+ 5314,65869,17670,65869,17693,65869,62059,65869, 483,66722,47608,65869,
+60857,66726, 903,66726, 11,66727, 587,66726,19474,65869,10093,66737,
+20345,66737,10085,66737,20281,66737,19549,66737,19553,66737,10087,66737,
+20285,66737,19555,66737, 483,66737,20273,66757,10081,66757,19545,66757,
+61718,65869, 483,66764,22957,65869, 903,66768, 587,66768,62538,65869,
+56555,66774, 1011,66774, 288,65869, 9,66781,19916,65869, 7,66785,
+35603,66787,35613,66785,10041,66785,10005,66785,10009,66785,23879,66785,
+30399,66785,31937,66785, 9,66785,10001,66805,63014,65869,56555,66808,
+ 11,66809, 587,66809, 1011,66808, 11,66808,48534,65869, 1011,66820,
+ 1418,65869, 3,66825,38903,66827,38913,66825, 3587,66825, 1989,66825,
+56681,66825,57911,66825,17041,66825, 4897,66825,56555,66825, 1471,66845,
+ 1086,65869,46863,66848, 524,65869,60857,66852, 1304,65869, 9,66857,
+ 1530,65869, 9,66861, 9195,65869,31103,66864,10031,65869,27641,65869,
+ 713,65869,31103,66872, 1447,65869,13737,66877, 9875,65869, 15,66880,
+ 9513,66883,16859,66883,59787,66883, 803,66881, 1325,65869,18967,66892,
+ 251,66895, 555,66895, 1365,66895, 21,66895,16937,65869,46863,66904,
+ 1505,65869,28715,66908, 5438,65869,49162,65869, 113,65869,48583,66916,
+48328,66916, 25,66916,46863,66922,46863,66916, 25,66926, 375,65869,
+63493,66930, 8861,66930,58334,65869,46863,66936,58362,65869,60857,66940,
+ 506,65869,46863,66944, 587,65869, 759,66949,31103,66951,31103,66948,
+ 759,66955,22957,66948,47608,66948,46863,66948, 1011,66962, 1011,66948,
+46863,66966, 1369,65869, 15,66970, 4897,66973,17041,66973, 3587,66973,
+ 1989,66973,57911,66973,56681,66973,56555,66973, 1471,66987, 1275,66970,
+ 9,66991, 1275,65869,18967,66994,31937,66997,30399,66997,10041,66997,
+10005,66997,23879,66997,10009,66997, 9,66997,10001,67011, 11,66994,
+ 9,67015, 9,66995, 11,67019, 1369,67019, 1369,66994, 9,67025,
+ 483,65869,32805,67028,56156,67028,65076,67028,25545,67028,62089,67028,
+62942,67028,62059,67028,47590,67028,47640,67028,17669,67028, 5313,67028,
+ 4801,67028, 587,67029,46863,67055,61718,67028,49713,67028,46863,67060,
+ 1011,67028,60857,67064, 903,67028,46863,67068,46863,67028,49713,67072,
+ 587,67073, 241,67072, 903,67072,60857,67028,56555,67082, 587,67083,
+ 11,67083, 1011,67082, 11,67082, 11,67028,60857,67094, 5325,67028,
+56555,67028,60857,67100, 241,67028,46863,67104, 4593,67028,11985,67028,
+ 5843,67028,49155,67028, 5876,65869,49155,65869, 483,67118, 6267,65869,
+ 9,67123, 6367,67125, 6403,67125, 6407,67125,60419,65869,56555,67133,
+60425,67135,60429,67135,60433,67135, 5325,65869, 483,67142,55005,65869,
+ 9,67147, 5843,65869,56555,67150, 1011,67150, 483,67150,12023,65869,
+11986,65869, 4608,65869,11985,65869, 483,67164, 3681,65869,56555,67168,
+ 3709,65869,56555,67172, 3357,65869,56555,67176,52840,65869, 4593,65869,
+ 483,67182,54202,65869,54159,67187,46863,67189, 4801,65869, 483,67192,
+54129,65869,54256,67196,46863,67196,54225,67200,54225,67196,46863,67204,
+17669,65869, 483,67208, 5313,65869,56555,67212, 483,67212,15309,65869,
+ 413,67218,15383,67221, 413,67219,15335,67225,54225,65869,54154,67228,
+46863,67228,54129,67232,54129,67228,46863,67236, 1274,65868, 6,67241,
+ 4,67242,66785,67245,66997,67245, 4,67241, 6,67250,66785,67253,
+66997,67253,67011,67241,66805,67241, 8,67241,66997,67263,66785,67263,
+ 1368,65868, 1,67269, 2,67270,66825,67273,66973,67273, 2,67269,
+ 1,67278,66825,67281,66973,67281,66987,67269,66845,67269,56554,67269,
+66973,67291,66825,67291, 586,65868,24265,67297,28233,67297,29077,67297,
+19559,67297, 8251,67297,20361,67297, 9673,67297,20713,67297, 4283,67297,
+ 9967,67297, 4279,67297, 3807,67297, 482,65869, 903,67323, 1,67325,
+ 0,67325, 1,67324,67329,67331, 0,67324,67327,67335, 587,65868,
+31690,67339,31103,67339, 713,67342, 713,67339,31103,67346,48408,67339,
+46863,67339, 483,67352, 483,67339,46863,67356, 483,65868,57577,67361,
+57253,67361,19987,67361,59109,67361,57381,67361, 1369,65868, 1275,65868,
+47953,67375,48062,67375,47961,67375,48009,67380,48009,67375,47961,67384,
+47580,67375,47933,67389,46863,67375, 265,67393,48009,67395, 265,67392,
+47933,67399, 265,67375,46863,67403,47961,67405,46863,67402,47933,67409,
+ 1368,65869,48009,67413,49321,67413,49001,67413, 265,67413,46863,67421,
+ 586,65869,58056,67425,58601,67425,40799,67425,44243,67425,56555,67432,
+35927,67425,38155,67425,37611,67425, 375,67425, 510,67425, 9,67425,
+ 483,67446,56555,67425,44243,67450, 483,67425, 9,67454, 843,65869,
+ 9,67459,15705,65869, 9,67463,10001,67465,13755,67465,15733,67465,
+27533,67465,17455,65869,56555,67474, 1347,67474, 1011,67474, 767,65869,
+56555,67483, 1471,67485, 253,67485, 809,67485, 771,67485, 53,67485,
+ 1347,65869,17455,67496, 567,65869, 9,67501,10033,65869,27691,65869,
+10035,65869,27978,65869,26331,67511,23755,67511,27805,67511, 256,65869,
+25793,67519,59875,67519,41019,67519, 8495,67519,53391,67519, 9805,67519,
+ 972,65869,25793,67533,41019,67533, 8495,67533,20762,65869,58715,67541,
+ 375,67541, 154,65869,40909,67547,49204,65869, 11,67550, 33,67553,
+ 11,67551, 25,67557, 1369,67551,37409,67551, 340,65869,25793,67565,
+41019,67565, 8717,67565, 8495,67565, 3785,67565,49514,65869, 66,65869,
+ 33,67579,46863,67581,46863,67578, 33,67585, 112,65869,44243,67589,
+27785,65869, 257,65869,67373,67595,31103,67594,31103,65869,27021,67601,
+27377,67603,27021,67600,27323,67607, 25,67600, 713,67600, 305,67600,
+63493,67600, 8861,67600, 9195,67600,52915,67600, 1369,67601, 587,67601,
+ 713,67627, 903,67600, 241,67600, 587,67600, 759,67635,49713,67600,
+ 257,67600, 165,65869,60857,67642,31926,65869,27021,65869,27323,67649,
+31103,67651,31103,67648,27323,67655,52915,65869,31103,67658, 305,65869,
+ 8647,67662,31103,67662, 25,65869,49283,67668,47546,67668,31103,67668,
+ 113,67668,46863,67676,46863,67668, 113,67680,20501,65869, 15,67684,
+59787,67687,21529,67687, 9513,67687, 803,67685, 1141,65869,13737,67697,
+ 33,65869,13737,67701, 331,65869,18967,67704, 251,67707, 21,67707,
+ 555,67707, 59,65869,18967,67714, 251,67717, 21,67717, 177,67717,
+ 555,67717, 8861,65869,60796,67727,60797,67727,60796,67726,67731,67733,
+31103,67726,60797,67726,67729,67739, 375,67726,63493,65869,60796,67745,
+60797,67745,31103,67744,60797,67744,67747,67753,60796,67744,67749,67757,
+ 375,67744, 413,65869,15309,67762,15383,67765,15309,67763,15363,67769,
+46863,67762,32805,65869, 9,67775, 483,67774,46863,67774, 1216,65869,
+46863,67782,65076,65869, 9,67787, 483,67786,46863,67786,56156,65869,
+ 483,67794,56555,67794,56555,65869,56156,67800,63014,67800,62538,67800,
+ 3357,67800,17455,67800, 5313,67800, 5843,67800, 3681,67800, 3709,67800,
+46863,67800,49713,67820,60857,67820, 11,67821,49713,67800,46863,67828,
+ 483,67800,60857,67832, 11,67801,46863,67837,60857,67800, 9,67841,
+ 483,67840,46863,67840,15029,67800, 7,67849, 903,65869,31103,67852,
+22957,67852,47608,67852,48408,67852,46863,67852, 1011,67862, 483,67862,
+ 483,67852,46863,67868, 7,67852,25793,67873,41019,67873, 8495,67873,
+ 1011,67852,46863,67880,28715,67852, 7,67885,21605,65869, 15,67889,
+31103,67891, 7,67888,26331,67895,23755,67895,27805,67895, 7,67889,
+26219,67903,49713,65869,58782,67906,48408,67906, 483,67906,46863,67912,
+31103,67906,56555,67906,46863,67918, 3,67907,31103,67923,46863,67906,
+ 483,67926,56555,67926, 241,65869,31103,67932,48408,67932,46863,67932,
+ 483,67938, 483,67932,46863,67942, 7,67932,25793,67947,59875,67947,
+41019,67947, 8495,67947,53391,67947, 9805,67947,56555,67933, 7,67961,
+ 9,65869,25545,67964,62942,67964,60857,67964, 1011,67970, 1011,67964,
+60857,67974,25545,65869, 7,67979, 483,67978, 9,67978,46863,67978,
+46863,65869,37844,67988,37896,67989,37844,67989, 6,67994,37845,67988,
+67993,67999,67997,67999,67995,67999,37897,67999,54262,67988,54219,67988,
+ 120,67988, 77,67988, 6,67989,37844,68017,37844,68016,67999,68021,
+32805,67988,37845,67989,68019,68027,67991,68027,37899,68027,37897,67989,
+67991,68035,54129,67988,54225,68038,52692,67988,58334,67988,65076,67988,
+54225,67988,54129,68048,25545,67988, 66,67988, 33,68055,62942,67988,
+ 25,67988, 113,68060, 113,67988, 25,68064, 506,67988, 1086,67988,
+ 1281,67988, 1216,67988, 413,67988, 922,67988, 1413,67988,16937,67988,
+ 587,67989, 483,68085, 483,67988,49713,68088, 241,68088, 587,68089,
+ 903,68088, 241,67988, 483,68098, 903,67988, 1011,68102, 483,68102,
+ 1275,67989,56555,67988,49713,68110,60857,68110, 11,68111,60857,67988,
+56555,68118, 1011,68118, 1011,67988,60857,68124, 903,68124, 11,68125,
+ 587,68124, 587,67988, 1011,68134, 2,67988, 3,67988, 11,68140,
+ 33,68143, 11,68141, 25,68147, 1369,68141,37409,68141, 2,67989,
+ 3,67989, 483,68157,49713,67988,56555,68160, 483,68160, 11,67988,
+ 3,68166, 33,68169, 3,68167, 113,68173, 15,65869,10095,68176,
+10093,68179,54643,68177,54655,68183,49537,68177,49529,68187,54655,68176,
+54643,68191,49529,68176,49537,68195,16091,68176, 9513,68199,60125,68176,
+59787,68203,16859,68177, 9875,68207,21529,68177,20501,68211, 1,68176,
+ 2,68215, 1,68216,68177,68219, 7,68216,68221,68223, 7,68215,
+ 2,68226, 1368,68215, 6,68176, 2,68233, 6,68234,68177,68237,
+ 0,68234,68239,68241, 0,68233, 2,68244,18966,68233,56554,68176,
+ 2,68251, 7,68252, 7,68251, 2,68256, 1368,68251, 482,68176,
+ 2,68263, 0,68264, 0,68263, 2,68268,18966,68263,20501,68176,
+ 9513,68275,59787,68275,21529,68275, 9875,68176,59787,68283, 9513,68283,
+16859,68283,59787,68177,60125,68291, 9875,68291,20501,68291, 9513,68177,
+16091,68299,20501,68299, 9875,68299, 483,68177, 2007,68307, 3477,68307,
+68267,68307,68271,68307, 5197,68307,68241,68307,68247,68307, 1,68307,
+19051,68307,19667,68307, 5123,68307,12345,68307,68249,68307,68273,68307,
+18967,68307, 555,68337,68233,68337,68263,68337,56555,68177,59637,68345,
+59717,68345,68255,68345,68259,68345,68223,68345,68229,68345, 6,68345,
+59649,68345,39747,68345,43837,68345,43027,68345,68231,68345,68261,68345,
+ 1369,68345,59619,68373,68215,68373,68251,68373,18967,68176,19553,68381,
+19549,68381,20345,68381,20281,68381, 7,68381,68345,68391,68359,68381,
+10093,68381,10085,68381,20285,68381,10087,68381,19555,68381, 483,68381,
+20273,68407,10081,68407,19545,68407, 1369,68176,67281,68415,67273,68415,
+ 3587,68415, 1989,68415, 0,68415,68307,68425,68323,68415,56681,68415,
+57911,68415, 4897,68415,17041,68415,67291,68415,56555,68415, 1471,68441,
+67269,68441, 3,68176,40909,68447, 3,68177,40895,68451,40059,68451,
+43749,68451,38903,68451,18967,65869,20347,68460,20345,68463, 1203,68461,
+ 1205,68467, 1009,68461, 1007,68471, 1205,68460, 1203,68475, 1007,68460,
+ 1009,68479, 97,68460, 21,68483, 571,68460, 555,68487, 177,68461,
+ 59,68491, 1365,68461, 1325,68495, 2,68460, 6,68499, 2,68500,
+68461,68503, 5,68500,68505,68507, 5,68499, 6,68510, 14,68499,
+ 4,68460, 6,68517, 4,68518,68461,68521, 3,68518,68523,68525,
+ 3,68517, 6,68528, 1274,68517, 482,68460, 6,68535, 5,68536,
+ 5,68535, 6,68540, 14,68535, 8,68460, 6,68547, 3,68548,
+ 3,68547, 6,68552, 1274,68547, 256,68461, 629,68461, 1325,68460,
+ 21,68563, 251,68563, 555,68563, 1365,68563, 59,68460, 555,68573,
+ 251,68573, 21,68573, 177,68573, 555,68461, 571,68583, 331,68583,
+ 59,68583, 1325,68583, 21,68461, 97,68593, 331,68593, 1325,68593,
+ 59,68593, 331,68460, 251,68603, 555,68603, 21,68603, 251,68461,
+ 331,68611, 59,68611, 1325,68611, 9,68461, 7951,68619, 7961,68619,
+68551,68619,68555,68619,68451,68619,68525,68619,68531,68619, 2,68619,
+ 7953,68619,35893,68619,38299,68619,37897,68619,68533,68619,68557,68619,
+ 1275,68619, 7947,68649,68517,68649,68547,68649, 483,68461, 9517,68657,
+ 9525,68657,68539,68657,68543,68657,20033,68657,68507,68657,68513,68657,
+ 4,68657, 9519,68657,57855,68657,60853,68657,60609,68657,68515,68657,
+68545,68657, 15,68657, 9513,68687,68499,68687,68535,68687, 1275,68460,
+67245,68695,67253,68695,10041,68695,10005,68695, 5,68695,68657,68705,
+68673,68695,10009,68695,23879,68695,31937,68695,30399,68695,67263,68695,
+ 9,68695,10001,68721,67241,68721, 15,68460,19549,68727,19553,68727,
+10093,68727,10085,68727, 3,68727,68619,68737,68635,68727,20345,68727,
+20281,68727,10087,68727,20285,68727,19555,68727, 483,68727,10081,68753,
+20273,68753,19545,68753, 7,68460,58715,68761, 375,68761, 7,68461,
+58703,68767,58027,68767,60849,68767,68345,68767,35603,68767, 59,68767,
+ 1325,68767, 331,68767, 265,68767, 241,68766, 241,68461, 6,68789,
+ 7,68789, 6,68788,68793,68795, 7,68788,68791,68799, 265,68460,
+ 375,68803, 1011,65869,59960,68807,61780,68806,63014,68806,62538,68806,
+17455,68806,47640,68806, 5843,68806,48534,68806, 483,68806,60857,68824,
+ 9,68806,60857,68828,46863,68806,60857,68832, 903,68832, 11,68833,
+ 587,68832, 587,68806,46863,68842, 11,68807,46863,68847, 7,68807,
+56555,68850,63823,68851, 9377,68851, 903,68806,46863,68858,56555,68807,
+ 6,68863, 7,68863, 6,68862,68867,68869, 7,68862,68865,68873,
+60857,68806, 7,68877, 483,68876,46863,68876, 9,68876,62942,65869,
+ 7,68887,46863,68886, 9,68886, 483,68886,60857,65869,58782,68896,
+58362,68896,47608,68896, 1108,68896, 1072,68896, 165,68896, 524,68896,
+ 1291,68896, 11,68897, 483,68915, 9,68896, 1011,68918, 587,68897,
+ 483,68923,46863,68896,56555,68926, 1011,68926, 483,68896,56555,68932,
+ 587,68933, 11,68933, 1011,68932, 11,68932, 11,68896, 483,68944,
+ 7,68897, 1141,68949, 1447,68949, 33,68949,56555,68896, 9,68957,
+46863,68956, 483,68956, 1011,68896, 7,68965, 9,68964, 483,68964,
+46863,68964, 265,65869,16710,68974,44242,68974,16711,68974,16710,68975,
+68981,68983,45086,68975,44242,68975, 3,68988,44243,68974,68987,68993,
+68991,68993,60797,68975,60796,68974,68999,69001,60796,68975,60797,68974,
+69005,69007, 3,68975,44242,69011,44242,69010,68993,69015, 6,69010,
+ 1274,68975,44243,68975,69013,69023,45087,68975,68979,69027,16711,68975,
+68977,69031, 1275,68975, 4899,69035,14611,69035,47961,69035, 11,68974,
+ 9,69043,46863,68974,69019,69047,69021,69047, 9,68975, 11,69053,
+ 6,68974, 0,69056,69035,69059, 7,68974,25793,69063,41019,69063,
+ 8717,69063, 8495,69063, 3785,69063, 6,68975, 3,69074,69047,69077,
+ 7,68975, 8647,69081,21605,68975, 375,69085,18967,68974, 375,69089,
+ 11,65869,39085,69093,49204,69092, 33,69097, 803,69093,63014,69092,
+25381,69092, 265,69092, 9,69107,60857,69092, 483,69110, 483,69092,
+60857,69114, 1275,69092, 9,69119, 2,69092,44243,69123, 3,69092,
+ 33,69127,46863,69129,46863,69126, 33,69133, 3,69093,49283,69137,
+47546,69137, 113,69137,46863,69142,46863,69137, 113,69146,46863,69092,
+ 3,69150, 33,69153, 3,69151, 113,69157,20034,65869, 375,69161,
+48560,65869, 3,69164, 33,69167, 3,69165, 113,69171,59206,65869,
+ 7,69175,29598,65869, 7,69179,60455,65869, 256,69183, 375,69183,
+ 7,69183, 241,69188, 241,69183, 7,69192,15029,65869,56555,69196,
+ 7,69199,28715,65869, 256,69203, 1505,69202, 7,69203, 241,69208,
+ 241,69203, 7,69212, 903,69202, 7,69217,54027,65869, 375,69221,
+ 2,69220,54159,69225,46863,69227, 2,69221,54256,69231,46863,69231,
+54225,69234,54225,69231,46863,69238,17635,65869, 7,69243, 2,69244,
+ 2,69245, 1368,69243, 1369,69243, 2,69242,69253,69255, 3,69242,
+69247,69259,69251,69259, 2,69243, 7,69264,69259,69267, 3,69243,
+69249,69271, 2,65868,41692,69275,41607,69275, 8672,69275, 8743,69275,
+26454,69275,26375,69275, 8770,69275, 8729,69275, 3795,69275,47953,69275,
+48062,69275,47961,69275,48009,69298,48009,69275,47961,69302,41417,69275,
+41653,69306,26219,69275,26415,69310,31770,69275,44832,69275, 8757,69275,
+ 8647,69318,26415,69275,26219,69322,41653,69275,41417,69326, 8647,69275,
+ 305,69330, 8757,69330, 8605,69275,47580,69275,47933,69339, 8684,69275,
+ 8717,69343, 8916,69275,31103,69275, 9,69348,26292,69275,26331,69353,
+ 340,69275, 8717,69357, 3785,69357, 8495,69357, 375,69275, 8861,69364,
+46863,69364,47488,69275,41502,69275,41559,69373, 483,69275,44243,69376,
+ 305,69275, 8647,69380, 7,69275, 1,69385, 264,69386, 264,69387,
+41019,69385,41653,69393,25793,69385,26415,69397, 8495,69385, 305,69401,
+ 8757,69401, 8495,69384, 8717,69407,25793,69384,26331,69411, 265,69385,
+69391,69415, 8861,69415,46863,69415,41019,69384,41559,69423, 265,69384,
+ 8717,69427,69389,69427, 3785,69427, 8495,69427,44243,69275, 483,69436,
+ 9,69275,31103,69440,46863,69275, 265,69445,48009,69447, 265,69444,
+47933,69451, 375,69444,25793,69275, 7,69457,26219,69459, 7,69456,
+26331,69463, 265,69275,46863,69467,47961,69469,46863,69466,47933,69473,
+ 7,69467, 8647,69477, 7,69466, 8717,69481, 3785,69481, 8495,69481,
+41019,69275, 7,69489,41417,69491, 7,69488,41559,69495, 8495,69275,
+ 7,69498, 8717,69501, 7,69499, 8647,69505, 8861,69275, 375,69508,
+ 3,65868,21116,69513,21253,69513,21560,69513,20465,69513,20576,69513,
+59683,69513,42035,69513, 9573,69513,59689,69513, 9575,69513,42041,69513,
+43711,69513,42089,69513,42129,69513, 1,69513, 6,69543,68974,69544,
+68975,69545,69547,69549,68974,69545,68975,69544,69553,69555, 4,69513,
+ 6,69558,66665,69561,66785,69561,66997,69561,68695,69561, 9599,69513,
+ 8,69513,66997,69573,66785,69573,66665,69573,68695,69573,67011,69513,
+66805,69513,68721,69513,66693,69513,60569,69513,59701,69513,59767,69513,
+ 9605,69513,32468,69513,28483,69513,19625,69513,20501,69602,43015,69513,
+44714,69513,19474,69513,20413,69611,20805,69513,20186,69513,21549,69513,
+20501,69618,21105,69513,20501,69622, 1418,69513,59619,69627, 9565,69627,
+41941,69627, 669,69513, 9565,69635,59619,69635,41941,69635,37501,69513,
+31103,69513,27021,69644, 8386,69513,50657,69513,36944,69513,48408,69513,
+ 1369,69513, 15,69656, 9565,69659,41941,69659,59619,69659, 483,69513,
+46863,69666,20501,69513,21105,69670,21549,69670,19625,69670, 6,69513,
+ 3,69679,56555,69681,65869,69683, 4,69678,66665,69687,66785,69687,
+66997,69687,68695,69687,69685,69687, 3,69678,68460,69699,69687,69701,
+18967,69699,65869,69704,69687,69707,65869,69699,18967,69710,69687,69713,
+ 7,69513,20103,69716, 8337,69716,36773,69716,27021,69513,31103,69724,
+ 7,69512,24265,69729,28233,69729,29077,69729,20361,69729, 9673,69729,
+ 4279,69729, 9967,69729,19559,69729, 4283,69729,20713,69729, 3807,69729,
+ 8251,69729,44243,69513,41941,69754,46863,69513, 483,69758, 15,69513,
+18967,69763,20501,69765,18967,69762,20413,69769, 1369,69762, 9565,69773,
+41941,69773,59619,69773, 8337,69513, 7,69780,18967,69513, 15,69784,
+20413,69787, 1011,69513,44242,69790,44242,69791,44243,69790,69795,69797,
+44243,69791,69793,69801,28715,69513, 7,69805,36773,69513, 7,69808,
+41941,69513,44243,69812,20103,69513, 7,69816,20273,69513, 6,69820,
+ 7,69820, 6,69821,69825,69827, 7,69821,69823,69831, 9617,69513,
+ 6,69834, 7,69834, 6,69835,69839,69841, 7,69835,69837,69845,
+ 6,65868, 1,69849, 3,69850, 4,69849, 3,69855,67988,69856,
+67989,69857,69859,69861,67988,69857,67989,69856,69865,69867,21604,69849,
+ 3,69849, 1,69872, 7,65868,59007,69877,58999,69877,59025,69877,
+19981,69877,48747,69877,37279,69877,57047,69877,57029,69877,58153,69877,
+ 1,69877, 2,69896,66625,69899,66825,69899,66973,69899,68415,69899,
+58167,69877,56554,69877,66973,69911,66825,69911,66625,69911,68415,69911,
+66987,69877,66845,69877,68441,69877,66653,69877,24601,69877,57437,69877,
+57021,69877,57069,69877,54107,69877,52743,69877,52193,69877,20734,69877,
+25551,69877,24613,69877,28205,69877,20501,69877, 265,69950, 241,69951,
+ 1141,69877,56555,69957,60577,69877,62959,69877,58377,69877,57981,69877,
+19916,69877, 7947,69969,48739,69969,37241,69969,58931,69877,48739,69977,
+ 7947,69977,37241,69977, 8306,69877, 33,69877,56555,69987, 1447,69877,
+56555,69991, 9875,69877, 241,69995, 265,69994, 9992,69877, 545,69877,
+ 695,69877, 1382,69877, 1374,69877, 1386,69877, 154,69877, 483,70013,
+60455,69877, 483,70017, 1369,69877, 331,70020, 1325,70020, 59,70020,
+ 1325,69877, 1369,70028, 1275,69877,18967,70032,48739,70035,37241,70035,
+ 7947,70035, 59,69877, 1369,70042, 2,69877, 7,70047, 9,70049,
+65869,70051, 1,70046,66625,70055,66825,70055,66973,70055,68415,70055,
+70053,70055, 7,70046,68176,70067,70055,70069, 15,70067,65869,70072,
+70055,70075,65869,70067, 15,70078,70055,70081, 3,69877, 8241,70085,
+ 15,70084, 483,70089, 331,69877, 1369,70092, 3,69876,24265,70097,
+28233,70097,29077,70097,19559,70097,20713,70097, 4283,70097,20361,70097,
+ 9673,70097, 4279,70097, 9967,70097, 8251,70097, 3807,70097,18967,69877,
+ 1275,70122,48739,70125,37241,70125, 7947,70125, 113,70123, 1011,69877,
+ 265,69877,20501,70136, 8165,70136, 9875,70136,46863,69877,38056,70144,
+38056,70145,38057,70144,70149,70151,38057,70145,70147,70155, 15,69877,
+ 3,70159, 1369,70161, 3,70158, 483,70165,54027,69877, 483,70169,
+ 8165,69877, 265,70172, 7,65869,69874,70176,69875,70177,70179,70181,
+69875,70176,69874,70177,70185,70187,69852,70176,69853,70177,70191,70193,
+69853,70176,69852,70177,70197,70199,11276,70176,11277,70176,11276,70177,
+70205,70207, 5044,70176, 5045,70176, 5044,70177,70213,70215,40583,70177,
+40583,70176,40582,70176,70219,70223,40582,70177,70221,70227,24094,70177,
+69871,70177,69870,70177,21604,70177,69849,70236, 9,70236,21604,70176,
+70233,70243,69849,70243, 9,70243, 4,70177, 0,70250, 1,70177,
+ 264,70254, 264,70255,24095,70177,70243,70261,45149,70177,26498,70177,
+41326,70177, 8796,70177,27533,70177, 9,70273,25793,70177,27021,70277,
+ 587,70276, 241,70277, 5045,70177,70211,70285,11277,70177,70203,70289,
+ 4551,70177,10001,70177, 9,70295, 8495,70177, 305,70299, 587,70298,
+ 241,70299, 88,70177, 1369,70307, 587,70177,25793,70310,41019,70310,
+ 8495,70310, 1369,70177,20103,70319,36773,70319, 8337,70319, 265,70177,
+70259,70327,63493,70327, 8861,70327,46863,70327, 89,70177,46863,70337,
+ 483,70177,18967,70341,37241,70343,48739,70343,70253,70343, 7947,70343,
+ 1275,70177,44243,70353,21605,70176,70231,70357,70235,70357,70239,70357,
+70241,70357,70237,70357,69849,70367, 9,70367,26331,70357,23755,70357,
+27805,70357, 241,70176,25793,70379,59875,70379,41019,70379, 8495,70379,
+ 9805,70379,53391,70379, 903,70176,25793,70393, 8495,70393,41019,70393,
+18967,70176,58715,70401, 375,70401, 265,70176,70257,70407,25793,70407,
+41019,70407, 8717,70407, 8495,70407, 3785,70407,21605,70177,70246,70421,
+69849,70421,70243,70424,70248,70421,70243,70421,69849,70430, 9,70430,
+24545,70421, 9,70421,70243,70438, 903,70421, 241,70177,51487,70445,
+ 375,70177, 1369,70449,41019,70177, 587,70452, 241,70453, 2,70176,
+48009,70459, 265,70459,46863,70463,49321,70459,49001,70459, 3,70176,
+58056,70471,58601,70471,40799,70471,44243,70471,56555,70478,35927,70471,
+ 375,70471, 510,70471, 483,70471, 9,70488,38155,70471,37611,70471,
+56555,70471,44243,70496, 9,70471, 483,70500, 2,70177,44243,70505,
+48466,70505,47640,70505,46863,70505, 9,70512, 903,70512, 903,70505,
+46863,70518, 9,70505,46863,70522,49155,70505, 3,70177, 1369,70529,
+ 9,70531,37663,70529, 9,70528, 1369,70537,18967,70529,44243,70541,
+69849,70177,21604,70545,70421,70547,21604,70544,70357,70551, 9,70177,
+21604,70555,70421,70557,21604,70554,70357,70561, 3,70554, 1369,70565,
+ 3,70555, 483,70569, 3,65869,60078,70572,60079,70572,13748,70573,
+13736,70572,70579,70581,13736,70573,13737,70572,13749,70573,70587,70589,
+ 1,70573, 5,70592, 1,70572,69385,70597,69384,70597,69275,70597,
+ 7,70602, 7,70603,59961,70597, 6,70596,70601,70611,70605,70611,
+ 7,70596,70599,70617,69275,70617, 6,70597,69275,70623,70617,70624,
+70607,70623,70620,70623,70617,70623,69275,70632,56555,70623, 7,70597,
+69275,70638,70611,70641,70611,70639,69275,70645,48560,70572, 33,70649,
+60230,70573,57986,70573,58352,70573, 8309,70573,13737,70573, 7,70660,
+70581,70663,59960,70573,70575,70667,70611,70667, 241,70666, 256,70573,
+56555,70674, 11,70573,48583,70679,48328,70679, 25,70679,46863,70684,
+46863,70679, 25,70688,59961,70573,70577,70693, 483,70573, 15,70697,
+41941,70699, 9565,70699,70595,70699,59619,70699, 1369,70573,46863,70709,
+37409,70573,46863,70713,46863,70572, 11,70716, 33,70719, 1369,70717,
+ 11,70717, 25,70725,37409,70717, 15,70572,40909,70731, 11,70572,
+ 33,70735,46863,70737,46863,70734, 33,70741, 6,70572, 1,70744,
+70667,70747, 5,70744, 7,70572,70609,70753,58056,70753,70636,70753,
+70623,70753,56555,70760,40799,70753,58601,70753,44243,70753,56555,70768,
+35927,70753, 375,70753, 510,70753, 483,70753, 9,70778,38155,70753,
+37611,70753, 9,70753, 483,70786,56555,70753,70623,70790,44243,70790,
+ 6,70573,70731,70797,56555,70797, 7,70573,13737,70802,70581,70805,
+13737,70803,70585,70809,70611,70803,56555,70813,70747,70803,56555,70817,
+70751,70803,42613,70803,56555,70823,54497,70803,54159,70803,51803,70803,
+58348,70802,10291,70803,56555,70835, 59,70803, 1325,70803, 331,70803,
+ 1275,70803, 9,70845,56555,70802,70611,70849,70747,70849, 241,70848,
+ 241,70802,56555,70856, 15,70803, 483,70861,69275,70573,58348,70573,
+ 7,70866,38057,70573, 7,70871,43503,70573,44243,70875,56555,70573,
+ 256,70878, 7,70878,70611,70883,70747,70883, 241,70882, 7,70879,
+70623,70891, 241,70878, 7,70894, 241,70573,44242,70899,44242,70898,
+44243,70899,70903,70905,59960,70898,44243,70898,70901,70911, 7,70898,
+56555,70914,56555,70898, 7,70918, 2,65869, 1,70922,69635,70925,
+ 668,70925,69513,70929,69627,70925, 1419,70925,69513,70935,70699,70925,
+69659,70925,69773,70925, 587,70925, 9,70944,69513,70947, 9,70925,
+ 587,70950,69513,70953,54027,70922,54159,70957,46863,70959,54027,70923,
+54154,70963,46863,70963,54129,70966,54129,70963,46863,70970,44243,70923,
+ 11,70975,46863,70922, 11,70922,44243,70981, 6,70922, 0,70985,
+ 5,70986, 5,70985, 0,70991, 0,70990, 1,70984,70995,70997,
+70989,70997,70987,70997, 5,71003, 1,70985,70993,71007, 5,71007,
+ 0,70984, 5,71013,71007,71014,71010,71013,71007,71013, 5,71020,
+ 903,70985, 1,71025, 0,71025, 1,71024,71029,71031, 0,71024,
+71027,71035, 7,70922,48009,71039, 265,71039,46863,71043,49321,71039,
+49001,71039, 7,70923,70989,71051,70997,71052,70995,71051,70997,71056,
+70998,71051,71000,71051,71005,71051,71009,71051,71017,71051,71019,71051,
+71023,71051,71011,71051,71013,71075,14219,71051,14013,71051,14267,71051,
+16151,71051,70997,71051,70995,71086,70989,71086,56554,71051, 1,71051,
+ 2,71094, 2,71051, 1,71098,14211,71051, 9165,71103, 9,71051,
+65869,71107,71093,71109,71097,71109,71101,71109,70985,71051,69513,70923,
+ 903,70923,46862,71120,46862,71121,46863,71121,71123,71127,46863,71120,
+71125,71131, 6,65869, 1,71134,70803,71137,56555,71139, 4,71134,
+69977,71143,58930,71143,69877,71147,69969,71143,19917,71143,69877,71153,
+70343,71143,70035,71143,70125,71143, 587,71143,56555,71162,69877,71165,
+56555,71143, 587,71168,69877,71171, 2,71134, 903,71175, 1,71177,
+ 0,71177, 1,71176,71181,71183, 0,71176,71179,71187, 2,71135,
+ 265,71191, 0,71192, 1,71192, 0,71193,71197,71199, 1,71193,
+71195,71203, 3,71135, 8,71207, 4,71207, 6,71210, 6,71207,
+ 4,71214,56555,71207,65869,71219,71209,71221,71213,71221,71217,71221,
+ 0, 5,59619,71229,59961,71230,60166,71229, 1207,71228,19105,71237,
+ 1180,71228,19119,71241,60158,71228,60180,71228,60178,71228,60318,71228,
+60167,71229, 1197,71228,59875,71255,53391,71255, 9805,71255,60159,71228,
+60181,71228,60179,71228,38158,71229,44195,71269, 1196,71228,60319,71228,
+28739,71229, 2,71277,29229,71279, 59,71228,60221,71283,63823,71228,
+61747,71287,61585,71287,61475,71287,63185,71287, 39,71228,56555,71297,
+ 15,71299, 6,71298,71301,71303, 14,71299, 7,71298,71307,71309,
+ 1163,71228,19119,71313, 25,71228,61747,71317,63185,71317,25461,71317,
+61585,71317,70985,71228,71086,71327,70997,71327,71051,71330,71051,71327,
+70997,71334,38057,71229, 6,71338,44195,71341,60973,71229, 1179,71345,
+49213,71229,49217,71349,54619,71229, 11,71353,54655,71355, 1003,71229,
+60857,71359, 1007,71361,11995,71228,12025,71365,64569,71228,64587,71369,
+61989,71228,61747,71373,63185,71373,61585,71373, 8065,71229, 11,71381,
+ 8067,71383,63777,71229,60857,71387,63779,71389,21918,71229, 987,71393,
+54336,71229,54339,71397, 989,71229,21605,71400, 987,71403,21890,71229,
+ 1179,71407,49262,71229,49217,71411,54331,71229, 17,71414,54339,71417,
+25395,71228,25461,71421, 1293,71228,61475,71425,25433,71228,25461,71429,
+61005,71228,61475,71433,63014,71228, 5,71437, 7,71438, 7,71437,
+ 5,71442, 10,71437, 524,71228, 0,71449, 3,71450, 3,71449,
+ 0,71454,60856,71449,21904,71229, 25,71461, 809,71229,21605,71464,
+ 713,71467,13755,71229, 17,71470, 9377,71473,65054,71229,63823,71477,
+ 117,71229,21605,71480, 25,71483,21916,71229, 713,71487,13764,71229,
+ 9377,71491,65037,71229, 17,71494,63823,71497, 1177,71229,21605,71500,
+ 1179,71503,49229,71229, 17,71506,49217,71509,26867,71229,21605,71512,
+26865,71515,10161,71229, 17,71518,10159,71521,26868,71229,26865,71525,
+10162,71229,10159,71529, 1180,71229, 2975,71533, 1903,71533,19025,71533,
+33464,71229,34655,71541,34447,71541,33221,71541,33773,71541, 1207,71229,
+19027,71551, 3567,71551, 1973,71551, 3041,71551, 1921,71551,19049,71551,
+ 9824,71229,71273,71565,53462,71229,71273,71569,59900,71229,71273,71573,
+60319,71229,71251,71577,60159,71229,71245,71581,60178,71229,71267,71585,
+59901,71229,71255,71589,60158,71229,71263,71593,60180,71229,71265,71597,
+25461,71229, 25,71601,25395,71601,25433,71601,61475,71229,63823,71609,
+ 1293,71609,61005,71609,65808,71229,65513,71617,65791,71617,65407,71617,
+65171,71617,60835,71229,60318,71229,71275,71629, 9617,71629,19797,71229,
+ 375,71635,20735,71229,47386,71229,20040,71229,20050,71229,61747,71229,
+63823,71647, 25,71647,61989,71647,63185,71229, 25,71655,63823,71655,
+61989,71655,61585,71229,63823,71663, 25,71663,61989,71663,20056,71229,
+ 375,71671, 9825,71229,71255,71675,53463,71229,71255,71679,57562,71229,
+58846,71229,58372,71229,58758,71229,58762,71229,57224,71229,57284,71229,
+57278,71229,58760,71229,20686,71229,24738,71229, 305,71703, 713,71703,
+ 1489,71703, 25,71703,10074,71229, 9377,71713,17573,71713,63823,71713,
+22766,71229, 305,71721, 25,71721, 147,71721, 713,71721,27672,71229,
+63823,71731,27995,71731, 9377,71731,62147,71229, 25,71739, 305,71739,
+ 147,71739, 169,71739, 713,71739,31881,71229,63823,71751,27995,71751,
+31359,71751, 9377,71751,60221,71229, 59,71761, 653,71229, 11,71765,
+ 9993,71229,17542,71229, 9936,71229,24734,71229, 305,71775, 713,71775,
+ 25,71775,60834,71229,21350,71229,16129,71229, 3,71787, 2,71787,
+ 842,71787, 843,71786,71793,71795, 843,71787, 842,71786,71799,71801,
+ 3,71786,71791,71805, 2,71786,71789,71809,16966,71229,19480,71229,
+50522,71229,52740,71229,57380,71229,59108,71229,50478,71229,57252,71229,
+19986,71229,51036,71229,57576,71229,58112,71229,58362,71229, 903,71836,
+47640,71229,56555,71840,60179,71229,71249,71845,60181,71229,71247,71849,
+63015,71229,71441,71853,71445,71853,62905,71853,63041,71853,63047,71853,
+63215,71853, 6,71853,63205,71867,19687,71853,21127,71853,20843,71853,
+63049,71853,71447,71853, 11,71853,63033,71881,71437,71881,19917,71229,
+ 9,71886, 525,71229,71453,71891,71457,71891,36729,71891, 1851,71891,
+ 1885,71891,35635,71891, 2,71891,35633,71905,62095,71891,17711,71891,
+ 4907,71891,61003,71891,71459,71891,60857,71891, 531,71919,71449,71919,
+ 1413,71229, 331,71925,49713,71924, 1419,71229,56555,71930,58782,71229,
+ 903,71934, 296,71229, 8861,71939, 1106,71229,18967,71943, 9617,71943,
+24095,71229,46863,71949,57522,71229, 11,71953, 903,71952, 587,71952,
+51004,71229, 483,71960,22956,71229,70471,71965,70753,71965,10159,71965,
+26865,71965,10111,71965,26715,71965,23709,71965,23713,71965,67425,71965,
+10113,71965,26719,71965,23715,71965, 587,71965,10107,71991,26625,71991,
+23651,71991,19475,71229, 483,71998, 918,71229,56555,72002, 922,71229,
+56555,72006,49713,72006, 668,71229,56555,72012, 1290,71229, 2,72017,
+35575,72019,35585,72017, 3621,72017, 1991,72017,60969,72017,62095,72017,
+17711,72017, 4907,72017,60857,72017, 1325,72037,58930,71229, 9,72040,
+52692,71229, 903,72044,25380,71229, 6,72049,38881,72051,38891,72049,
+ 9927,72049, 9891,72049, 9895,72049,19687,72049,21127,72049,20843,72049,
+ 11,72049, 9875,72069, 1447,71229,15705,72073, 9917,71229,20615,71229,
+ 759,71229,17455,72081, 9195,71229, 1487,72085, 1471,71229,21605,72088,
+ 305,72091, 713,72091, 1489,72091, 25,72091, 9805,71229, 1197,72101,
+ 1275,72101, 9,72105, 1197,72100,71273,72109,10001,71229, 17,72112,
+ 9377,72115,17573,72115,63823,72115,17455,71229,12377,72122,59961,71229,
+59619,72126, 1011,72126, 9617,72131, 1011,72127, 9565,72135,59619,72135,
+ 89,71229,17455,72141,60797,71229,59381,72144, 165,71229,21315,72148,
+ 587,71229,66971,72153,17455,72153,57522,72152, 9,72152,56555,72160,
+56555,72152, 9,72164,60857,72153, 9,72169, 1369,71229,39085,72173,
+21605,72172,20843,72177,21127,72177, 9927,72177, 9891,72177,19687,72177,
+ 9895,72177, 11,72177, 9875,72191, 1275,71229, 17,72194, 4907,72197,
+17711,72197, 3621,72197, 1991,72197,62095,72197,60969,72197,60857,72197,
+ 1325,72211, 483,71229,20035,72214,58742,72214,19475,72214,51004,72214,
+56555,72214, 903,72224, 903,72214,56555,72228,49713,72228,49713,72214,
+ 903,72234,55839,71229,46863,72239,65061,71229,60857,72243,65063,72245,
+65067,72245,65071,72245, 7065,71229,18967,72253, 6789,71229, 11,72257,
+ 6843,72259, 6885,72259, 6889,72259,11277,71229,46863,72267, 9935,71229,
+ 1011,72270,20645,71229, 1011,72274, 3445,71229, 375,72279, 5045,71229,
+46863,72283,17104,71229,48643,72287,12614,71229, 375,72291,69872,71229,
+68155,72295,71116,71229,71013,72299,70985,71229,71013,72303,71051,72305,
+71051,72302,71013,72309,71051,71229,70985,72313,70997,72315,70985,72312,
+71013,72319, 482,71228,23717,72323,24522,72323,24447,72323,23939,72328,
+23939,72323,24447,72332,22956,72323,23651,72337,21605,72323, 17,72341,
+23939,72343, 17,72340,23651,72347, 17,72323,21605,72351,24447,72353,
+21605,72350,23651,72357, 1368,71228, 7,72361, 5,72362,72049,72365,
+72177,72365, 5,72361, 7,72370,72049,72373,72177,72373,72191,72361,
+72069,72361, 10,72361,72177,72383,72049,72383,27021,72361,24095,72361,
+ 9195,72361,52915,72361,23651,72361,51435,72361,21605,72361, 9,72401,
+67297,72361,70097,72361,69729,72361,11277,72361, 5045,72361,10171,72361,
+53941,72361, 9755,72361,26907,72361, 4321,72361,27323,72361, 3833,72361,
+ 9317,72361, 4295,72361,53215,72361, 1274,71228, 3,72435, 0,72436,
+72017,72439,72197,72439, 0,72435, 3,72444,72017,72447,72197,72447,
+72211,72435,72037,72435,60856,72435,72197,72457,72017,72457, 586,71228,
+39619,72463,51421,72463,57811,72463,59933,72463,59743,72463, 8093,72463,
+ 3837,72463,42435,72463, 4287,72463,53703,72463, 4303,72463,42113,72463,
+ 9839,72463,53487,72463, 9579,72463, 483,72463, 803,72494, 828,72463,
+ 705,72463, 803,72463, 483,72502, 482,71229,66737,72507,36661,72507,
+62741,72507,68727,72507,68381,72507, 1274,71229, 587,71228,61747,72521,
+25461,72521,61475,72521,63185,72521,61585,72521, 483,71228,56555,72533,
+ 6,72535, 5,72536, 7,72535, 5,72535, 6,72542, 6,72543,
+72541,72547, 6,72534, 15,72535,72551,72553, 7,72534,72545,72557,
+72539,72557, 14,72535,72557,72563, 1368,71229,55839,72567,51803,72567,
+54159,72567,54497,72567, 265,72567, 1275,71228,59914,72579,60221,72579,
+18708,72579, 9856,72579,53504,72579, 9805,72579, 9,72590,53391,72579,
+ 9,72594,59875,72579, 9,72598,18693,72579, 9,72602,60369,72579,
+ 9,72579,18693,72608, 9805,72608,59875,72608,53391,72608, 586,71229,
+ 33,72619, 1447,72619, 1141,72619, 889,72619, 795,72619, 787,72619,
+ 767,72619, 483,72633, 1505,71229,16937,72636,56555,72636, 581,71229,
+60857,72643, 1325,72645, 331,72645, 571,72645, 585,72645, 59,72645,
+16937,71229, 1505,72656,13947,71229, 2,72661,14217,72663, 11,72661,
+ 9875,72667,16091,72667,13955,72667,20501,72667, 9919,71229,20623,71229,
+ 9921,71229, 1196,71229,72103,72683,71256,72683,71258,72683,71260,72683,
+71255,72683,59875,72692,53391,72692, 9805,72692,59875,72683,71255,72700,
+ 9805,72683,71255,72704,53391,72683,71255,72708, 154,71229,64148,71229,
+ 1325,72715, 59,72715, 331,72715, 265,72715,52501,71229, 265,72725,
+ 297,71229,18967,72729, 1107,71229,59960,71229,21105,72735,65513,72735,
+65791,72735,65407,72735,21549,72735,19625,72735,65171,72735,59619,72735,
+ 15,72735, 88,71229,70177,72755,70176,72754,72757,72759,70176,72755,
+70177,72754,72763,72765, 1141,72755, 1447,72755, 33,72755, 11,72755,
+37409,72755, 972,71229, 59,72779, 1325,72779, 331,72779,27978,71229,
+60796,71229,59381,72789,31102,71229,62905,72793,68761,72793,70401,72793,
+67541,72793, 164,71229,36729,72803,68447,72803,70731,72803,67547,72803,
+54596,71229,44243,72813,20695,71229, 155,71229,20763,71229, 375,72820,
+ 1197,71229,71273,72825,59875,72827, 9805,72827,53391,72827,53391,72824,
+71273,72835, 9805,72824,71273,72839,59875,72824,71273,72843, 375,71229,
+20763,72846,20836,71229, 1141,71229,15705,72853, 33,71229,15705,72857,
+27021,71229, 1487,72861, 959,71229,17455,72865,52915,71229, 1487,72869,
+ 47,71229,17455,72873,59875,71229, 1197,72877,72683,72879, 1275,72877,
+ 9,72883, 1197,72876,71273,72887, 253,71229,21605,72890, 305,72893,
+ 25,72893, 713,72893,53391,71229, 1197,72901,72683,72903, 1275,72901,
+ 9,72907, 1197,72900,71273,72911, 53,71229,21605,72914, 305,72917,
+ 25,72917, 147,72917, 713,72917,27533,71229, 17,72926,63823,72929,
+27995,72929, 9377,72929,30749,71229, 7,72937,26970,71229, 7,72941,
+70864,71229, 7,72945,69849,71229, 3,72948,68155,72951, 3,72949,
+67577,72955,68139,72955,70979,72955,69275,71229,70573,72962, 7,72965,
+69513,71229, 1011,72968, 7,72971, 9780,71229, 7,72975,59381,71229,
+ 2,72979,72789,72981,60797,72978, 6,72978,56555,72986,72981,72989,
+26625,71229, 1011,72992, 7,72995, 9731,71229, 1011,72998, 7,73001,
+69790,71229, 7,73005, 13,71229,32805,71229, 7,73010,33221,73013,
+34655,73013,33773,73013,34447,73013, 15,73011,34875,73023, 7,73011,
+34723,73027, 19,71229, 59,73031, 18,71229,65076,71229, 7,73037,
+65493,73039, 7,73036,65171,73043,65791,73043,65513,73043,65407,73043,
+ 15,73037,65357,73053, 12,71229,68974,71229, 375,73059,71119,71229,
+ 7,73063, 1011,71229,52387,73067,20762,73067,59961,73066, 9617,73073,
+20645,73066, 9935,73066, 17,73066,18967,73081, 9617,73081, 6,73066,
+ 7,73067,18967,73088,26625,73066, 7,73093,18967,73067, 7,73096,
+ 17,73097, 9731,73066, 7,73103,69513,73066, 7,73107,21315,73066,
+ 7,73111, 15,71229,18967,73115, 17,73117, 3,73114, 3,73115,
+72567,73123, 17,73114, 265,71229, 9,73128, 8861,73131,60857,73129,
+ 9,73135,65869,73128, 375,73139, 11,71229,60857,73143, 9,73145,
+ 1275,73143, 9,73149, 9,73142,60857,71229, 7,73154, 59,73157,
+ 1325,73157, 331,73157, 265,73157, 7,73155, 375,73167, 265,73155,
+ 375,73171,12377,73154, 7,73175,18967,71229, 7,73179,25793,73181,
+41019,73181, 8495,73181,46863,71229,20035,73188,58742,73188, 903,73188,
+56555,73194,56555,73188, 903,73198,20035,71229,21183,73203, 7,73203,
+ 331,73207, 483,73202,46863,73202, 9,73202, 7,73202, 375,73217,
+49713,71229,39085,73221, 136,73220, 1197,73220, 137,73220, 922,73220,
+ 1413,73220, 1011,73220, 6,73234, 483,73220, 903,73238, 903,73220,
+ 483,73242, 2,73220, 9,73246,44243,73247, 3,73220, 5,73253,
+ 6,73255, 9,73253, 2,73221,73257,73261,73229,73261,73258,73261,
+29229,73261,72683,73261,73237,73261,73087,73261, 9,73261,73253,73276,
+73253,73261, 9,73280, 3,73221,73225,73285,73249,73285,73227,73285,
+73247,73285, 9,73293, 9,73220, 2,73296,73285,73299, 2,73297,
+73253,73303, 17,71229,10161,73306,10159,73309,54339,73307,54331,73313,
+49217,73307,49229,73317,54331,73306,54339,73321,49229,73306,49217,73325,
+65037,73306,63823,73329,13755,73306, 9377,73333,27995,73307,27533,73337,
+17573,73307,10001,73341, 7,73306, 3,73345, 7,73346,73307,73349,
+ 1,73346,73351,73353, 1,73345, 3,73356,21604,73345, 0,73306,
+ 3,73363, 0,73364,73307,73367, 6,73364,73369,73371, 6,73363,
+ 3,73374, 1274,73363, 586,73306, 3,73381, 1,73382, 1,73381,
+ 3,73386,21604,73381,60856,73306, 3,73393, 6,73394, 6,73393,
+ 3,73398, 1274,73393,10001,73306,63823,73405, 9377,73405,17573,73405,
+27533,73306, 9377,73413,63823,73413,27995,73413, 9377,73307,13755,73421,
+27533,73421,10001,73421,63823,73307,65037,73429,10001,73429,27533,73429,
+60857,73307,63697,73437,63779,73437,73397,73437,73401,73437,73371,73437,
+73377,73437, 7,73437,63709,73437,35893,73437,37897,73437,38299,73437,
+73379,73437,73403,73437, 1275,73437,63679,73465,73363,73465,73393,73465,
+ 587,73307, 1971,73473, 3507,73473,73385,73473,73389,73473, 5231,73473,
+73353,73473,73359,73473, 0,73473,21783,73473,23983,73473, 4625,73473,
+10603,73473,73361,73473,73391,73473,21605,73473, 713,73503,73345,73503,
+73381,73503, 1011,73306,18967,73511, 9617,73511, 1275,73306,72439,73517,
+72447,73517, 3621,73517, 1991,73517, 1,73517,73473,73527,73489,73517,
+60969,73517,62095,73517, 4907,73517,17711,73517,72457,73517,60857,73517,
+ 1325,73543,72435,73543,21605,73306,23713,73549,23709,73549,26865,73549,
+26715,73549, 6,73549,73437,73559,73451,73549,10159,73549,10111,73549,
+26719,73549,10113,73549,67425,73549,70753,73549,70471,73549,23715,73549,
+ 587,73549,26625,73581,10107,73581,23651,73581, 1011,73307, 9565,73589,
+ 2,73306,36729,73593,68447,73593,67547,73593,70731,73593, 2,73307,
+36727,73603,68451,73603,37895,73603,36079,73603,35575,73603, 15,73306,
+21605,71229,26867,73616,26865,73619, 1179,73617, 1177,73623, 987,73617,
+ 989,73627, 1177,73616, 1179,73631, 989,73616, 987,73635, 809,73616,
+ 713,73639, 117,73616, 25,73643, 1489,73617, 1471,73647, 147,73617,
+ 53,73651,26219,73617, 5,73616, 7,73657, 5,73658,73617,73661,
+ 2,73658,73663,73665, 2,73657, 7,73668, 1368,73657, 3,73616,
+ 7,73675, 3,73676,73617,73679, 4,73676,73681,73683, 4,73675,
+ 7,73686, 16,73675, 10,73616, 7,73693, 2,73694, 2,73693,
+ 7,73698, 1368,73693, 586,73616, 7,73705, 4,73706, 4,73705,
+ 7,73710, 16,73705,44243,73617,48466,73617, 340,73617, 1397,73617,
+ 53,73616, 713,73725, 305,73725, 25,73725, 147,73725, 1471,73616,
+ 25,73735, 305,73735, 713,73735, 1489,73735, 25,73617, 117,73745,
+ 253,73745, 1471,73745, 53,73745, 713,73617, 809,73755, 253,73755,
+ 53,73755, 1471,73755, 253,73616, 305,73765, 25,73765, 713,73765,
+ 305,73617, 253,73773, 1471,73773, 53,73773, 9,73617,46863,73780,
+ 587,73617, 9381,73785, 9439,73785,73709,73785,73713,73785,25519,73785,
+73683,73785,73689,73785, 5,73785, 9383,73785,62077,73785,64317,73785,
+64815,73785,73691,73785,73715,73785, 17,73785, 9377,73815,73675,73815,
+73705,73815, 11,73617, 7979,73823, 8067,73823,73697,73823,73701,73823,
+73603,73823,73665,73823,73671,73823, 3,73823, 7981,73823,39747,73823,
+43027,73823,43837,73823,73673,73823,73703,73823, 1369,73823, 7971,73853,
+73657,73853,73693,73853, 17,73616,23709,73861,23713,73861,10159,73861,
+10111,73861, 2,73861,73823,73871,73839,73861,26865,73861,26715,73861,
+10113,73861,26719,73861,67425,73861,70471,73861,70753,73861,23715,73861,
+ 587,73861,10107,73893,26625,73893,23651,73893, 1369,73616,72365,73901,
+72373,73901, 9927,73901, 9891,73901, 4,73901,73785,73911,73801,73901,
+ 9895,73901,19687,73901,20843,73901,21127,73901,72383,73901, 11,73901,
+ 9875,73927,72361,73927,46863,73617, 9,73932, 6,73616,62905,73937,
+68761,73937,70401,73937,67541,73937, 7,73616, 6,73617,62883,73949,
+68767,73949,64267,73949,62235,73949,38881,73949,73437,73949,73947,73949,
+72787,73949, 7,73617,25793,73967,41019,73967, 8495,73967,73937,73967,
+72793,73967, 265,73966, 265,73617, 6,73981, 7,73981, 6,73980,
+73985,73987, 7,73980,73983,73991, 903,71229,64148,73995,57522,73994,
+58782,73994,58362,73994,52501,73995,52692,73994,46863,73994,56555,74008,
+ 9,73994,56555,74012, 483,73994,56555,74016,49713,74016,49713,73994,
+ 483,74022, 15,73995, 483,74027, 7,73994, 59,74031, 1325,74031,
+ 331,74031, 7,73995,60857,74038,59875,74039, 375,74039, 9805,74039,
+53391,74039,60857,73995, 6,74051, 7,74051, 6,74050,74055,74057,
+ 7,74050,74053,74061,56555,73994, 7,74065,46863,74064, 483,74064,
+ 9,74064,58742,71229, 7,74075, 9,74074,46863,74074, 483,74074,
+56555,71229,43502,74085,21036,74085, 6,74089, 6,74088,43503,74085,
+ 6,74095, 6,74094,21037,74085,59634,74085,59635,74085, 6,74105,
+ 6,74104,21104,74085,59645,74085,43838,74085,21548,74085,21526,74085,
+ 5,74118,59644,74085,19624,74085,18967,74085, 5,74126, 6,74128,
+ 6,74129, 6,74126, 5,74134, 6,74127, 14,74126,38305,74085,
+ 2,74142,59619,74085, 2,74146, 5,74085,59961,74151, 6,74151,
+21526,74150, 6,74150,18967,74158,18967,74150, 6,74162, 6,74163,
+ 2,74085,59619,74168,38305,74168, 14,74085,18967,74174,21527,74085,
+74155,74179, 9,74179,19625,74085,21549,74085,43839,74085,21105,74085,
+47640,74084, 922,74084, 918,74084, 1505,74084, 668,74084, 1419,74084,
+ 483,74084, 903,74204, 11,74085, 9,74209, 15,74085,74139,74213,
+46863,74084, 903,74216, 9,74084, 11,74221, 903,74220, 587,74220,
+ 587,74084, 9,74228, 6,74084,74191,74233,74189,74233,74187,74233,
+74113,74233,74087,74233,74101,74233,74103,74233,74171,74233,74169,74233,
+59619,74251,74149,74233,72981,74233,74185,74233,74145,74233,74173,74233,
+74213,74233,59381,74233, 7,74084,74093,74269,74099,74269,74123,74269,
+74109,74269,74159,74269,74089,74269,74095,74269,74105,74269,74151,74269,
+74111,74269,74115,74269,74117,74269,74157,74269,74121,74269,21105,74269,
+21549,74269,65513,74269,65791,74269,65407,74269,74125,74269,19625,74269,
+65171,74269,74175,74269,74131,74269,74129,74269,74137,74269,74177,74269,
+74161,74269,74165,74269,74163,74269,74141,74269,59619,74269, 15,74269,
+ 6,74085,21036,74336,74269,74339,43503,74336,74269,74343,59635,74336,
+74269,74347, 5,74336,74269,74351,18967,74350,74269,74355,18967,74336,
+ 5,74358,74269,74361, 7,74085,74091,74365,74097,74365,74107,74365,
+74155,74365,21183,74365,65493,74365,74133,74365,74167,74365, 9,74365,
+ 959,74365, 47,74365, 759,74365, 903,74084, 7,74391, 483,74390,
+ 9,74390,46863,74390, 9,71229,20035,74400,58742,74400,58930,74400,
+19917,74400, 903,74400,56555,74410, 265,74400, 8861,74415, 587,74400,
+56555,74418,56555,74400, 11,74423, 903,74422, 587,74422, 265,74401,
+ 8495,74431, 11,74431, 3,74400,70177,74437,70176,74436,74439,74441,
+70176,74437,70177,74436,74445,74447, 1141,74437, 1447,74437, 33,74437,
+ 11,74437,37409,74437, 3,74401, 113,74461, 11,74400,21522,71229,
+ 7,74467,63452,71229, 7,74471,13673,71229, 7,74475,17049,71229,
+ 3,74478,48643,74481, 2,74479, 3,74479,48637,74487,49581,74487,
+47813,74487,21315,71229, 165,74494, 1011,74494, 7,74499,16163,71229,
+ 2,74503,72683,74505,73087,74505,16171,74505, 375,74503,64669,71229,
+ 7,74515, 265,74517,12377,71229, 256,74521,17455,74520, 7,74520,
+ 375,74527, 7,74521, 241,74530, 331,74531,60857,74520, 7,74537,
+ 241,74521, 7,74540,10385,71229, 375,74545,70899,71229, 7,74549,
+18391,71229, 7,74553,18617,71229, 7,74557,12705,71229, 7,74561,
+70573,71229,69275,74564, 7,74567, 3,71228,74332,74571,72750,74571,
+71253,74571,72985,74571,72147,74571,71783,74571,71577,74571,67600,74571,
+45491,74571,42800,74571,59710,74571,74365,74593,74269,74571,59619,74596,
+72735,74571,59619,74600,59694,74571,60563,74571, 629,74571, 101,74571,
+ 705,74571, 299,74571, 128,74571, 828,74571, 394,74571,48122,74571,
+70327,74571,66930,74571, 9606,74571,10374,74571, 113,74571, 9,74632,
+74465,74571,73153,74571,73031,74571,73057,74571,73131,74571,71939,74571,
+72733,74571,74415,74571,72145,74571,59381,74653,42134,74571,10291,74571,
+ 17,74658,51992,74571, 375,74571, 241,74664,65869,74664,49713,74664,
+60796,74571,74213,74673, 256,74571, 803,74571, 483,74678, 483,74571,
+ 803,74682,31103,74571,65869,74686, 6,74571,59619,74690,74365,74693,
+56555,74690,74213,74697, 7,74571, 241,74700, 7,74570,57811,74705,
+59933,74705,59743,74705, 9839,74705, 9579,74705,39619,74705,51421,74705,
+ 4287,74705, 4303,74705, 8093,74705, 3837,74705,53487,74705,42113,74705,
+42435,74705,53703,74705,42613,74571, 17,74736,46863,74571,12377,74740,
+ 9,74571, 113,74744,49713,74571, 375,74748, 17,74571,42613,74752,
+59619,74752,10291,74752, 9565,74752,41941,74752, 9565,74571, 7,74765,
+ 17,74764,65869,74571,60796,74771,60797,74771,31103,74770,60797,74770,
+74773,74779,60796,74770,74775,74783, 375,74770, 241,74571, 375,74788,
+ 7,74788,56555,74571, 5,74795,74269,74797,72735,74797, 6,74797,
+74365,74803, 6,74796,74269,74807,72735,74807, 14,74795,72735,74813,
+74269,74813, 15,74795, 6,74795, 5,74820,74269,74823,72735,74823,
+ 7,74795,74803,74829, 6,74794,74213,74833,74819,74833, 7,74794,
+74807,74839,74823,74839,71229,74838,74807,74845,74823,74845,74797,74845,
+74813,74845,74813,74839,12377,74571,46863,74856,41941,74571, 7,74861,
+ 17,74860,59619,74571,74269,74866,72735,74866, 6,74866,74365,74873,
+ 6,74867,74269,74877,72735,74877, 7,74867, 17,74866, 2,71228,
+71233,74887,56555,74887,72129,74887,72127,74887,59619,74895,71235,74887,
+72790,74887,71627,74887,74153,74887,74155,74887,74365,74906,74372,74887,
+74158,74887,74269,74913,74279,74887,74350,74887,74269,74919,74353,74887,
+74266,74887,74150,74887, 6,74927,74365,74929, 6,74926,74269,74933,
+74269,74927,74287,74887,74336,74887, 5,74940,74269,74943,60261,74887,
+71629,74887,63737,74887,37179,74887, 9535,74887,63743,74887, 9537,74887,
+37185,74887,74264,74887,74174,74887,74269,74965,74315,74887,73073,74887,
+37887,74887,37205,74887,37235,74887,74085,74887, 5,74978, 6,74981,
+74365,74983, 6,74980,74269,74987,74269,74981, 6,74978, 5,74992,
+74269,74995, 6,74979,74213,74999, 14,74978,74269,75003, 5,74887,
+74336,75006,74269,75009,74085,75006, 6,75013,74365,75015, 6,75012,
+74269,75019,74269,75013,74085,75007,74233,75025, 6,75006,72735,75029,
+74085,75028,74269,75033,74269,75029,74085,75029,74233,75039, 7,75006,
+71853,75043,72049,75043,72177,75043,73901,75043, 6,75007,74365,75053,
+ 7,75007,72131,74887,72753,74887,74335,74887, 9563,74887,74382,74887,
+ 10,74887,72177,75069,72049,75069,71853,75069,73901,75069, 14,74887,
+74085,75079,74233,75081,74085,75078,74269,75085,72735,75079,74269,75079,
+72191,74887,72069,74887,73927,74887,71881,74887,64759,74887,63763,74887,
+63813,74887, 9559,74887,74213,74887,74233,75108,74365,74887,74155,75112,
+ 9,75112,43123,74887,42606,74887,53318,74887, 9362,74887,27218,74887,
+28189,74887,74233,74887,59381,75130,74213,75130,72789,74887,59381,75136,
+64289,74887,26182,74887,28991,74887, 8804,74887,54289,74887,53802,74887,
+ 8150,74887, 1290,74887,63679,75155, 9533,75155,37145,75155, 525,74887,
+ 9533,75163,63679,75163,37145,75163, 922,74887, 1413,74887,73615,74887,
+73127,74887,73009,74887,73035,74887,73081,74887,71943,74887,72729,74887,
+73511,74887,41762,74887, 7971,74887, 9,75192,53517,74887, 9,75196,
+ 483,74887, 903,75200, 9195,74887, 9,75204, 1275,74887, 17,75208,
+ 9533,75211,37145,75211,63679,75211,27021,74887, 9,75218, 7,74887,
+ 2,75223,60857,75225,71229,75227, 5,75222,71853,75231,72049,75231,
+72177,75231,73901,75231,75229,75231, 2,75222,73616,75243,75231,75245,
+21605,75243,71229,75248,75231,75251,71229,75243,21605,75254,75231,75257,
+ 6,74887,74150,75260,74269,75263,74085,75260, 5,75266,74269,75269,
+56555,75261,71229,75272,74085,75261,74155,75277, 9,75277, 5,75260,
+72735,75283,74085,75282,74269,75287,74269,75283,74085,75283,74233,75293,
+75275,75283, 11,75261,21604,75299,21604,75298,21605,75299,75303,75305,
+21605,75298,75301,75309,52915,74887, 9,75312, 6,74886,23717,75317,
+24522,75317,24447,75317,23939,75322,23939,75317,24447,75326,22956,75317,
+23651,75331, 17,75317,21605,75335,24447,75337,21605,75334,23651,75341,
+21605,75317, 17,75345,23939,75347, 17,75344,23651,75351, 7,74886,
+27021,75355,24095,75355, 9195,75355,52915,75355,21605,75355, 9,75365,
+67297,75355,26907,75355, 9755,75355, 9317,75355, 3833,75355,23651,75355,
+51435,75355,27323,75355, 4321,75355,69729,75355,53215,75355, 4295,75355,
+70097,75355,53941,75355,10171,75355, 5045,75355,11277,75355,42155,74887,
+ 9,75402, 19,74887, 12,74887, 11,74887, 9,75410, 9,74887,
+74365,75414,42155,75414,27021,75414,52915,75414, 9195,75414,25793,75414,
+53517,75414, 7971,75414, 8495,75414,41019,75414, 11,75414, 17,74887,
+ 1275,75438, 9533,75441,37145,75441,63679,75441, 8495,74887, 9,75448,
+ 903,74887, 483,75452,21605,74887,26219,75457,42810,75456,75056,75456,
+75057,75457,75463,75465,75053,75457,42810,75457,75057,75456,75056,75457,
+75473,75475,42811,75456,75471,75479,42811,75457,75461,75483,44243,75457,
+ 375,75457, 6,75457, 7,75457,25793,75493, 6,75456,75493,75497,
+ 7,75456,75491,75501,41019,74887, 9,75504,59381,74887,72789,75508,
+74233,75508,25793,74887, 9,75514,26625,74887, 6,75518, 7,75518,
+ 6,75519,75523,75525, 7,75519,75521,75529, 9731,74887, 6,75532,
+ 7,75532, 6,75533,75537,75539, 7,75533,75535,75543,69513,74887,
+ 6,75546, 7,75546, 6,75547,75551,75553, 7,75547,75549,75557,
+ 7,71228,73276,75561,27306,75561,73261,75561, 9,75566,24095,75561,
+52603,75561,53910,75561,55537,75561,20053,75561,20831,75561,19783,75561,
+64289,75561,27021,75561,25793,75586, 265,75587, 959,75561,60857,75593,
+58775,75561, 5045,75561,11277,75561, 4551,75561,70136,75561,10196,75561,
+ 273,75561, 1477,75561, 281,75561, 948,75561, 1516,75561, 922,75561,
+ 1413,75561,52915,75561, 265,75623, 47,75561,60857,75627,25793,75561,
+27021,75630, 9195,75561, 265,75635, 759,75561,60857,75639, 89,75561,
+ 5019,75643,60857,75643, 1505,75561, 1011,75648, 587,75561,60857,75653,
+70573,75653, 1369,75561,43503,75659, 483,75561, 903,75662, 165,75561,
+ 903,75666, 1141,75561,18967,75671, 1447,75561,18967,75675, 2,75561,
+61780,75679, 9,75679,60857,75682,54295,75679,70085,75679,53925,75679,
+10155,75679,11529,75679,60857,75679, 9,75696, 3,75561,73221,75701,
+ 9,75703, 8063,75701,53667,75701,42361,75701, 33,75561,18967,75713,
+ 2,75560,27021,75717,24095,75717, 9195,75717,52915,75717,21605,75717,
+ 9,75727,67297,75717,23651,75717,51435,75717,27323,75717, 4321,75717,
+ 9755,75717,26907,75717, 9317,75717, 3833,75717,69729,75717,53941,75717,
+10171,75717,70097,75717,53215,75717, 4295,75717, 5045,75717,11277,75717,
+ 3,75560,57811,75765,59933,75765,59743,75765,39619,75765,51421,75765,
+ 4287,75765, 4303,75765, 9839,75765, 9579,75765, 8093,75765, 3837,75765,
+42113,75765,53487,75765,42435,75765,53703,75765, 265,75561,53813,75796,
+69877,75796,10107,75796, 1011,75561, 1505,75804,54597,75805,21605,75561,
+ 9,75811, 145,75811, 903,75561, 165,75816, 483,75816,54295,75817,
+ 9,75561,73261,75824,69877,75561, 265,75828,10107,75561, 265,75832,
+53813,75561, 265,75836, 6,71228,63091,75841,63099,75841,63117,75841,
+25451,75841,53597,75841,42283,75841,61289,75841,61281,75841,62345,75841,
+ 0,75841, 3,75860,71891,75863,72017,75863,72197,75863,73517,75863,
+ 3,75861,62359,75841,60856,75841,72197,75877,72017,75877,71891,75877,
+73517,75877,72211,75841,72037,75841,73543,75841,71919,75841,19739,75841,
+61649,75841,61263,75841,61323,75841,20763,75841, 1011,75903, 1010,75902,
+75905,75907, 1010,75903, 1011,75902,75911,75913,25380,75841, 7971,75917,
+53517,75917,42155,75917,63015,75841,53517,75925, 7971,75925,42155,75925,
+ 1369,75841,21605,75932,53517,75935,42155,75935, 7971,75935, 3,75841,
+ 6,75943, 11,75945,71229,75947, 0,75942,71891,75951,72017,75951,
+72197,75951,73517,75951,75949,75951, 6,75942,73306,75963,75951,75965,
+ 17,75963,71229,75968,75951,75971,71229,75963, 17,75974,75951,75977,
+ 2,75841,60857,75981, 16,75983, 16,75982, 17,75983,75987,75989,
+ 17,75982,75985,75993, 2,75840,23717,75997,24522,75997,23939,75997,
+24447,76002,24447,75997,23939,76006,22956,75997,23651,76011,21605,75997,
+ 17,76015,23939,76017, 17,76014,23651,76021, 17,75997,21605,76025,
+24447,76027,21605,76024,23651,76031,21605,75841, 1369,76034,53517,76037,
+42155,76037, 7971,76037, 17,75841,37844,76044,75872,76044,75873,76045,
+76049,76051,37844,76045,75873,76044,75872,76045,76057,76059,37845,76044,
+76055,76063,37845,76045,76047,76067, 7,71229,74797,76071,74829,76073,
+ 264,76071, 5,76071, 3,76078, 3,76079, 5,76070,75925,76085,
+63014,76085,75841,76089,75917,76085,25381,76085,75841,76095,75935,76085,
+76037,76085, 483,76085,60857,76102,75841,76105,60857,76085, 483,76108,
+75841,76111,32805,76070,34655,76115,33773,76115,34447,76115,33221,76115,
+32805,76071,34003,76125,33319,76125,34447,76071,35031,76131,65407,76071,
+65335,76135,65076,76070,65513,76139,65791,76139,65407,76139,65171,76139,
+65076,76071,65625,76149,65267,76149,20035,76070, 375,76155,74794,76071,
+59381,76159,74819,76159,74571,76071,56555,76165,59619,76167,56555,76164,
+59381,76171,12377,76070, 375,76175,49204,76071, 1369,76071, 241,76181,
+56555,76071,74571,76184,59381,76187,59381,76185,74571,76191,49205,76071,
+65869,76195, 1275,76071, 903,76199,60857,76070, 59,76203, 1325,76203,
+ 331,76203, 265,76203, 903,76070, 59,76213, 1325,76213, 331,76213,
+56555,76070,74877,76221,74866,76221,65513,76221,65791,76221,65407,76221,
+74807,76221,74823,76221,74797,76221,21105,76221,75029,76221,75283,76221,
+21549,76221,19625,76221,65171,76221,75079,76221,74813,76221,59619,76221,
+74571,76254,74571,76221,59619,76258, 15,76221,74887,76263,21605,76070,
+73949,76267, 265,76071,63823,76271,63679,76271,72619,76271, 9377,76271,
+ 9533,76271,37145,76271, 2,76070,76077,76285,76081,76285,55839,76285,
+54159,76285,54497,76285,51803,76285,73123,76285,76179,76285,65869,76301,
+ 265,76285, 3,76070,76196,76307,67988,76307, 33,76307, 1447,76307,
+ 1141,76307,76271,76307,76195,76307,65869,76320, 9,76307,46863,76307,
+65869,76326,65869,76307,76195,76330,46863,76330, 2,76071,76310,76337,
+76328,76337,76334,76337,76083,76337, 10,76337, 5,76337, 7,76348,
+ 7,76337, 5,76352,55803,76337,54225,76337,54477,76337,51593,76337,
+67988,76337,76307,76364,64345,76337,76324,76337,73121,76337,72713,76337,
+76326,76337,65869,76376, 9,76337,76307,76380,60857,76337,71229,76385,
+76347,76387,76351,76387,76355,76387, 903,76337,46863,76337,76330,76396,
+65869,76396,76307,76400,76307,76396,65869,76404,76330,76337,46863,76408,
+65869,76337,76326,76412,46863,76412,76307,76416,76307,76412,46863,76420,
+76307,76337,67988,76424, 9,76424,46863,76424,65869,76430,65869,76424,
+46863,76434, 3,76071, 5,76438,76285,76441, 113,76439,46863,76438,
+76285,76447,65869,76449,76285,76439,67988,76453, 9,76453,46863,76453,
+65869,76458,65869,76453,46863,76462, 15,76071,74485,76467,73261,76467,
+46863,76071, 3,76472,76285,76475,65869,76477, 3,76473,76412,76481,
+65869,76481,76337,76484,76337,76481,65869,76488,65869,76070, 375,76493,
+70176,71229, 375,76497, 3,71229,70554,76500, 5,76501, 1,76505,
+71229,76507, 2,76509,59961,76505,74887,76513, 6,76505,76511,76517,
+73261,76517, 0,76500,75163,76523, 524,76523,74887,76527,75155,76523,
+ 1291,76523,74887,76533,75211,76523,75441,76523, 483,76523, 11,76540,
+74887,76543, 11,76523, 483,76546,74887,76549, 33,76501, 9,76553,
+ 8147,76501,42315,76501,53777,76501,70555,76500,70176,76500, 9,76565,
+43848,76501,70177,76501,76563,76571,76566,76571, 9,76571,76565,76576,
+76565,76571, 9,76580, 1141,76501, 9,76585, 1447,76501, 9,76589,
+69849,76500,68155,76593,17049,76500,48643,76597, 1369,76501, 803,76601,
+ 15,76500,76337,76605,37409,76501, 9,76609, 9,76500,70177,76613,
+76565,76615,70177,76612, 1141,76613, 1447,76613, 33,76613, 11,76613,
+37409,76613, 11,76501, 9,76631, 6,76500, 7,76500, 33,76637,
+ 1447,76637, 1141,76637,76271,76637, 6,76501,60856,76647, 0,76647,
+ 3,76650, 3,76647, 0,76654, 11,76647,71229,76659,76649,76661,
+76653,76661,76657,76661, 7,76501,43503,76668,70177,76500, 9,76672,
+70176,76501,76619,76677,76503,76677,76675,76677,76673,76677, 9,76685,
+43503,76501, 7,76688, 17,76689, 1011,76501, 375,76695, 7,76695,
+18967,76501, 4,76700, 5,76700,76071,76705, 6,76704, 6,76705,
+76070,76701,76709,76713,76705,76713, 14,76700,76713,76719,71229,76701,
+ 7,76723,76711,76725, 7,76722,76709,76729,76705,76729,76719,76729,
+ 15,76723,76071,76701,76703,76739, 15,76700,76739,76743, 6,76700,
+ 5,76746,76729,76749,76713,76749, 7,76700,76707,76755,76711,76755,
+ 6,76701,76743,76761,76737,76761, 7,76701,76749,76767,76709,76767,
+71229,76766,76749,76773,76709,76773,76705,76773,76719,76773,76719,76767,
+65869,76500,68155,76785,68109,76785, 256,76785, 7,76785, 241,76792,
+ 241,76785, 7,76796,70572,71229,68155,76801,68109,76801, 256,76801,
+ 7,76801, 241,76808, 241,76801, 7,76812, 2,71229, 0,76817,
+ 4,76818, 0,76816, 2,76823, 5,76816,62284,76817,62186,76817,
+64248,76817,62504,76817,64205,76817,61690,76817,52501,76817,70021,76817,
+17496,76817,11179,76817,10187,76817,53967,76817,17455,76817, 9,76852,
+16065,76817, 16,76857, 16,76856, 17,76857,76861,76863, 17,76856,
+76859,76867,70802,76817, 340,76817,60857,76872,64148,76817, 265,76876,
+ 9,76817,17455,76880, 375,76817,60857,76884, 587,76817, 17,76889,
+37145,76891, 9533,76891,76523,76891,76821,76891,63679,76891,44243,76817,
+60857,76902,49713,76903, 17,76816,36729,76909,68447,76909,67547,76909,
+70731,76909,49713,76816,44243,76919,54295,76817, 9,76923, 6,76816,
+66737,76927,36661,76927,62741,76927,68381,76927,68727,76927, 7,76816,
+54497,76939,55839,76939,54159,76939,51803,76939,73123,76939, 265,76939,
+ 7,76817,62494,76952,70573,76952, 265,76952,60857,76958,60857,76952,
+ 265,76962, 265,76953,60857,76967,62494,76817, 7,76970,43215,76817,
+ 9,76975, 265,76817,64148,76978, 483,76979, 7,76978,60857,76984,
+60857,76978, 7,76988,60857,76817,42810,76993,42810,76992,42811,76993,
+76997,76999, 375,76992, 340,76992,42811,76992,76995,77007,44243,76992,
+ 6,76992, 7,76992, 265,77014, 6,76993,77015,77019, 7,76993,
+77013,77023, 265,76993, 7,77027, 265,76992, 7,77030,65869,76817,
+69275,77035, 7,77037,70573,76817, 6,77041, 7,77041, 6,77040,
+77045,77047, 7,77040,77043,77051,65869,76816,69716,77055, 7,77055,
+69513,77058,69513,77055, 7,77062,70922,71229,69716,77067, 7,77067,
+69513,77070,69513,77067, 7,77074, 6,71229,74890,77079,59619,77081,
+38056,77078, 5,77084,76825,77079,76827,77089,55814,77078,55815,77079,
+77093,77095,55815,77078,55814,77079,77099,77101, 1346,77078, 1346,77079,
+ 1347,77078,77107,77109,17126,77079,17125,77079, 2,77114,17127,77079,
+ 9565,77119,74169,77079,59619,77123,60621,77079,59619,77127,38056,77079,
+38057,77078,44195,77133,58303,77079, 1010,77079, 1010,77078,77119,77141,
+35187,77079, 2,77144, 0,77079, 4,77149, 2,77151,71229,77152,
+71229,77151, 2,77156, 2,77157,76816,77151, 1011,77149,71229,77165,
+ 5,77079, 1,77168, 5,77078,38056,77173,77133,77175, 2,77172,
+58302,77079,77141,77181, 9565,77181,59619,77181,20501,77079, 1011,77189,
+ 1010,77188,77191,77193, 1010,77189, 1011,77188,77197,77199, 567,77079,
+21604,77203,21604,77202,21605,77203,77207,77209,21605,77202,77205,77213,
+ 1347,77079,77105,77217,74887,77079,56555,77220,59619,77223,56555,77221,
+59381,77227, 9875,77079, 1011,77231, 1010,77230,77233,77235, 1010,77231,
+ 1011,77230,77239,77241,56555,77079,74887,77244,59619,77247,59619,77245,
+74887,77251, 1011,77244, 9565,77255,77141,77255,59619,77255, 1011,77245,
+ 9617,77263,77139,77263,74887,77263, 587,77079,21605,77271,42155,77273,
+53517,77273,76085,77273,77171,77273, 7971,77273, 1011,77078,77113,77285,
+77117,77285,74505,77285,77131,77285,77137,77285,77147,77285,73261,77285,
+38057,77079,77179,77301,77087,77301,41941,77301,76827,77301, 9565,77301,
+59619,77301,77141,77301,56555,77078,72981,77317,75508,77317,74887,77317,
+59381,77322,59381,77317,74887,77326,21605,77078,62905,77331,68761,77331,
+67541,77331,70401,77331,73967,77331, 1011,77079,56555,77343,59381,77345,
+56555,77342,59619,77349,77141,77349, 9565,77349, 2,77078,66737,77357,
+ 5,77356,77301,77361,62741,77357,36661,77357,68727,77357,68381,77357,
+ 3,77078,77161,77373, 2,77079,17125,77376,77285,77379,35187,77376,
+77285,77383, 3,77079,77155,77387,77159,77387,77163,77387,77167,77387,
+ 11,77079,37844,77397,37844,77396,37845,77397,77401,77403,37845,77396,
+77399,77407,65869,71229, 1530,77410, 842,77410,48535,77410, 669,77410,
+ 1419,77410,49514,77410, 136,77410,49515,77410, 137,77410, 843,77411,
+77415,77431, 1531,77411,77413,77435, 843,77410, 1530,77411, 1531,77410,
+77441,77443, 842,77411,77439,77447, 1418,77410,48534,77410, 668,77410,
+ 587,77410,46863,77456, 9,77456, 1369,77410, 15,77462, 9,77410,
+ 2,77467, 2,77466, 587,77466, 265,77410, 375,77475, 15,77410,
+ 1369,77478,46863,77410, 2,77483, 2,77482, 587,77482, 7,77411,
+ 59,77491, 1325,77491, 331,77491, 265,77491, 6,77410,77491,77501,
+ 2,77503, 3,77503, 2,77502,77507,77509, 3,77502,77505,77513,
+ 3,77411,67577,77517,77425,77517,77423,77517,68139,77517,70979,77517,
+77455,77517,77453,77517,77421,77517,77471,77517,77487,77517,77461,77517,
+77459,77517,77473,77517,77489,77517, 7,77517, 1011,77517, 7,77549,
+ 2,77410, 9,77552,77517,77555,46863,77552,77517,77559,69716,77553,
+77546,77553, 7,77553,69513,77566,77517,77566,69513,77553, 7,77572,
+77517,77553, 6,77577, 7,77577, 6,77576,77581,77583, 7,77576,
+77579,77587, 2,77411,76517,77591,29229,77591,72789,77591,77429,77591,
+77427,77591,72683,77591,74233,77591,77317,77591,77451,77591,77419,77591,
+77417,77591,77285,77591,73087,77591,77465,77591,77481,77591, 7,77591,
+70573,77591, 7,77625, 3,77410, 4,77628,77591,77631, 1,77628,
+ 5,77628, 0,77628,77591,77639, 5,77629, 6,77643,77591,77645,
+68155,77629,77469,77629,77485,77629,68109,77629,77623,77629,77631,77657,
+77639,77657, 256,77629,77622,77629,77635,77665,77637,77665, 6,77629,
+77632,77671,77640,77671,77631,77671,77591,77676,77639,77671,77591,77680,
+77591,77671,77631,77684,77639,77684, 7,77629,77635,77691,77591,77693,
+77637,77691,77591,77697, 241,77690,77591,77690,77635,77703,77637,77703,
+ 241,77629, 7,77708,77591,77629, 6,77713, 7,77713, 6,77712,
+77717,77719, 7,77712,77635,77723,77637,77723,77715,77723, 6,77411,
+ 7,77410, 375,77733,77731,77733, 2,77737, 3,77737, 2,77736,
+77741,77743, 3,77736,77739,77747, 1, 6,18363,77751, 4389,77751,
+18362,77751, 4388,77751,70572,77750,70667,77761,70849,77761,70803,77761,
+56555,77767,70883,77761, 272,77751, 8997,77773, 4425,77773, 8452,77751,
+ 251,77779, 8841,77779, 8453,77751, 273,77751, 4139,77751, 8429,77751,
+ 4138,77751, 8428,77751,70879,77751,70797,77797,18257,77751, 465,77801,
+ 445,77751,17827,77805, 4371,77751, 265,77808,18339,77751, 265,77812,
+64953,77751, 375,77817,14888,77751, 375,77821,13569,77751, 375,77825,
+ 4137,77751, 265,77828, 8401,77751, 265,77832, 413,77750,77835,77837,
+77831,77837,77795,77837,77793,77837,77815,77837,77811,77837,77757,77837,
+77759,77837, 241,77837, 1217,77750, 412,77750, 8401,77859, 4137,77859,
+18339,77859, 4371,77859,77791,77859,77789,77859,77753,77859,77755,77859,
+ 1216,77750,40461,77751, 9,77879,59573,77751, 375,77883,69467,77751,
+ 375,77887, 7047,77751, 412,77891, 413,77890,77893,77895, 413,77891,
+ 412,77890,77899,77901,12615,77751, 375,77905,45880,77751,46275,77909,
+33390,77751,34003,77913,77462,77751,77591,77917,65232,77751,65625,77921,
+ 923,77751,16481,77925,16783,77925,18797,77925,25367,77751, 9,77933,
+68975,77751, 375,77937,62984,77751, 9,77941, 1412,77751,17827,77945,
+ 412,77751,77837,77949, 1216,77751, 9137,77751, 375,77955, 253,77751,
+ 9136,77959, 9137,77959,17826,77959, 1,77959, 413,77966,17827,77959,
+ 413,77959, 1,77972, 265,77958, 8997,77977, 4425,77977,77963,77977,
+77965,77977,77969,77977,77975,77977, 265,77959, 8997,77990, 8997,77959,
+ 265,77994, 265,77995,12377,77959, 8337,77751, 266,78003, 267,78003,
+ 464,78003, 6,78003, 413,78010, 465,78003, 413,78003, 6,78016,
+ 265,78002, 251,78021, 8841,78021,78007,78021,78009,78021,78013,78021,
+78019,78021, 265,78003, 251,78034, 251,78003, 265,78038, 265,78039,
+ 375,78003,38057,77751, 265,77751,18339,78048,77837,78051, 4371,78048,
+77837,78055, 253,78048, 8997,78059, 4425,78059, 8337,78048, 251,78065,
+ 8841,78065,77837,78049, 8401,78071, 4137,78071,18339,78071, 4371,78071,
+ 4137,78048,77837,78081, 8401,78048,77837,78085, 241,78049, 8401,78089,
+ 4137,78089, 1369,78048,17827,78095, 241,78048, 1011,77751,56555,78101,
+60369,78103, 241,77751, 413,78107,14315,78106, 375,78111,57522,78107,
+67028,78107, 265,78107,60857,78106, 9,78121,56555,78107, 9,78124,
+65869,78107, 483,78128, 483,78107,65869,78132, 9,78107,56555,78136,
+ 265,78106, 8685,77751, 375,78143, 264,77750,78066,78147,78060,78147,
+78091,78147,78093,78147,18339,78147, 4371,78147,17911,78147,13433,78147,
+13411,78147,13635,78147,77978,78147,78022,78147,77999,78147,78043,78147,
+77774,78147,77780,78147,64733,78147,64955,78147,78021,78147, 251,78184,
+77977,78147, 8997,78188,78065,78147, 251,78192,78059,78147, 8997,78196,
+77779,78147, 251,78200,77773,78147, 8997,78204, 9139,78147, 9123,78147,
+ 9065,78147,14935,78147,64919,78147,59463,78147,69357,78147,59533,78147,
+69427,78147,59587,78147,69481,78147,78088,78147, 8401,78231, 4137,78231,
+ 8997,78147,78059,78236,77977,78236,77773,78236, 251,78147,78065,78244,
+78021,78244,77779,78244,27979,78147,26293,78147,41503,78147, 8685,78147,
+78141,78147,77949,78147,78099,78147,78049,78147, 8337,78267, 251,78269,
+ 253,78267, 8997,78273, 241,78266, 8401,78277, 4137,78277, 241,78267,
+ 1369,78147, 241,78147, 6,78287,78065,78289,78021,78289,77779,78289,
+ 1,78287,78059,78297,77977,78297,77773,78297,78049,78286, 8401,78305,
+ 4137,78305,16381,78147,19513,78147,35843,78147,13325,78147,70407,78147,
+69063,78147,67565,78147, 341,78147,64669,78325, 8997,78325,59381,78325,
+69275,78325,65869,78325, 241,78325, 471,78147, 367,78147, 357,78147,
+ 8401,78147, 4137,78147,37019,78147, 4063,78147,20219,78147, 3863,78147,
+20697,78147,37377,78147, 9955,78147,10273,78147,14625,78147, 4569,78147,
+ 265,77750,77785,78369, 251,78371,77787,78369, 8997,78375, 253,78369,
+ 8997,78379, 8337,78369, 251,78383, 241,78368, 8401,78387, 4137,78387,
+77791,78387,77789,78387, 241,78369, 241,77750, 8428,78399,78147,78401,
+ 4138,78399,78147,78405, 4137,78399, 265,78409, 265,78408,78147,78413,
+ 8401,78399, 265,78417, 265,78416,78147,78421, 265,78398, 8401,78425,
+ 4137,78425,77791,78425,77789,78425, 265,78399, 8401,78434,78147,78437,
+ 4137,78434,78147,78441,78147,78435, 8401,78445, 4137,78445, 240,77751,
+ 265,78451, 1010,77751,28337,78455, 264,77751,78426,78459,78428,78459,
+78419,78459,78411,78459,78388,78459,78390,78459,77860,78459,77862,78459,
+77864,78459,77866,78459,18339,78459,77859,78480, 4371,78459,77859,78484,
+78381,78459,78385,78459,13381,78459,77961,78459,78005,78459,77993,78459,
+78037,78459,77997,78459,78041,78459,78015,78459,77971,78459,77807,78459,
+77803,78459,64746,78459,78382,78459, 251,78517,78378,78459, 8997,78521,
+78035,78459, 251,78525,77991,78459, 8997,78529, 9072,78459, 9105,78459,
+59470,78459,69364,78459,59521,78459,69415,78459,64931,78459, 413,78459,
+77859,78459, 8401,78548, 4137,78548,18339,78548, 4371,78548,78425,78459,
+ 8401,78558, 4137,78558,78387,78459, 8401,78564, 4137,78564, 8401,78459,
+78425,78570,78387,78570,77859,78570, 4137,78459,78425,78578,78387,78578,
+77859,78578, 8337,78459,78369,78586, 251,78589, 253,78459,78369,78592,
+ 8997,78595,78396,78459,78119,78459,78369,78459, 8337,78602, 251,78605,
+ 253,78602, 8997,78609, 241,78603, 8401,78613, 4137,78613, 241,78602,
+69275,78459, 375,78620,59381,78459, 375,78624, 8997,78459, 375,78628,
+64669,78459, 375,78632,70327,78459,65869,78459, 375,78638,66930,78459,
+ 375,78459,64669,78644, 8997,78644,59381,78644,69275,78644,65869,78644,
+ 241,78644, 241,78459,78369,78658, 375,78658, 394,78459, 299,78459,
+ 1217,77751, 413,77751,77859,78671,78369,78671, 375,78671,14315,77751,
+ 241,78678, 375,78681, 375,78679, 341,77751,12377,78687, 257,77751,
+ 375,78691,70572,77751,70693,78695,70800,78695,70797,78695,56555,78700,
+56555,78695,70797,78704, 1346,77751, 9,78709, 1061,77751, 9,78713,
+ 525,77751, 9,78717,64396,77751, 9,78721,38056,77751,29229,78725,
+ 9,78725, 137,77751,56555,78731, 5,78733, 4,78732,78735,78737,
+ 4,78733, 5,78732,78741,78743,20103,77751, 375,78747, 1471,77751,
+12377,78751,36773,77751, 375,78755, 53,77751,12377,78759,45639,77751,
+ 1369,78762,46275,78765,32805,77751, 17,78768,34003,78771,77410,77751,
+ 1369,78774,77591,78777,65076,77751, 17,78780,65625,78783, 1275,77751,
+ 5,78786, 9,78789, 5,78787, 17,78793,35187,77751, 1196,78797,
+ 6,78797, 1011,78800, 137,78797, 136,78797, 1197,78797, 1413,78797,
+ 922,78797, 1011,78797, 6,78814, 903,78797, 483,78818, 483,78797,
+ 903,78822, 2,78796,78805,78827,29229,78827,78799,78827,78817,78827,
+78803,78827, 9,78827, 3,78796,78807,78841,78809,78841, 2,78797,
+78841,78847, 9,78849, 9,78846,78841,78853, 3,78797, 5,78857,
+ 6,78859,78827,78861,78838,78857, 9,78857,78827,78866,78827,78857,
+ 9,78870, 9,78797, 2,78875,78857,78877, 3,78875, 2,78874,
+78841,78883, 3,78874, 17,77751,65076,78889,65407,78891,32805,78889,
+34447,78895,20035,78889,58742,78889,65076,78888,65625,78903,32805,78888,
+34003,78907, 903,78889,56555,78910,56555,78889, 903,78914,65869,78889,
+ 2,78919, 3,78919, 2,78918, 3,78918,18967,77751, 295,78929,
+ 1108,78929, 1011,78929, 9,78934, 9,78929, 1011,78938, 483,78929,
+18967,78943, 5,78944, 5,78945,21036,78943,21037,78943, 4,78943,
+78949,78955, 5,78943,18967,78958, 4,78942,78961,78963,78947,78963,
+78951,78963, 5,78942,78953,78971, 1369,77751,12376,78974,12376,78975,
+12377,78974,78979,78981,77410,78975,77517,78985,45639,78975,46599,78989,
+12377,78975,78977,78993,36527,78975,68806,78975,77410,78974,77591,79001,
+45639,78974,46275,79005, 1011,78975,65869,79008,65869,78975, 1011,79012,
+ 265,78974,17827,79017,56555,78975, 4,79021, 5,79021, 4,79020,
+ 5,79020,60857,77751, 241,79030, 9,79033, 5,79030, 9,79037,
+ 5,79031, 17,79041,70177,77751,38056,79045,38056,79044,38057,79045,
+79049,79051,38057,79044,79047,79055, 375,79045,27979,77751, 375,79061,
+ 2,77750,68283,79065,68275,79065,36633,79065,36627,79065,39987,79065,
+66423,79065,66883,79065,66405,79065,66397,79065,67687,79065,78047,79065,
+ 9,79087,36544,79065, 9875,79091,20501,79091,68177,79065, 9875,79097,
+20501,79097,64396,79065, 9,79103, 5,79065,60857,79106, 9,79109,
+35187,79065, 11,79112,20501,79115, 9875,79115, 11,79065,35187,79120,
+ 9875,79123,20501,79123,60857,79065, 5,79129, 17,79131, 5,79128,
+ 9,79135, 3,77750,40779,79139,63907,79139,73421,79139,73429,79139,
+64235,79139,67465,79139,63955,79139,39027,79139,38685,79139,64073,79139,
+ 6,79139, 4,79161,78728,79139,78838,79139,78827,79139, 9,79168,
+78725,79139, 9,79172, 9934,79139,20644,79139, 4663,79139, 903,79181,
+17219,79139, 903,79185,12345,79139, 5,79189, 4,79188,79191,79193,
+ 4,79189, 5,79188,79197,79199, 5123,79139, 5,79203, 4,79202,
+79205,79207, 4,79203, 5,79202,79211,79213,19667,79139, 5,79217,
+ 4,79216,79219,79221, 4,79217, 5,79216,79225,79227,73306,79139,
+ 9377,79231,63823,79231,40705,79139, 9377,79237,63823,79237,21036,79139,
+70177,79139, 9,79245, 341,79139,64669,79249,65869,79249, 253,79139,
+65869,79255, 8337,79139, 9,79259, 241,79139, 1471,79139,65869,79265,
+37325,79139, 903,79269,20103,79139, 9,79273,10219,79139, 903,79277,
+ 4,79139,20501,79280, 9875,79280, 5,79139, 6,79287,78827,79289,
+78725,79289,18967,79286, 9935,79287,20645,79287,36773,79139, 9,79301,
+ 53,79139,65869,79305, 5,79138,27979,79309, 8685,79309,41503,79309,
+26293,79309, 1369,79309,16381,79309,13325,79309,35843,79309,19513,79309,
+ 8401,79309, 4137,79309,14625,79309, 4569,79309,37019,79309, 4063,79309,
+ 3863,79309,37377,79309,20219,79309,10273,79309, 9955,79309,20697,79309,
+ 9,79139,78725,79352,78827,79352,35187,79139, 1505,79359, 17,79139,
+71229,79362, 9377,79365,63823,79365,21315,79363,71229,79139, 17,79372,
+63823,79375, 9377,79375,18967,79139,20413,79381, 4,79383, 4,79382,
+20487,79381,20486,79381,79161,79381, 4,79393, 4,79392,79163,79381,
+ 580,79381,49630,79381,79162,79381,46863,79381, 4,79406, 4,79407,
+ 483,79381, 4,79412, 4,79413,49631,79381, 581,79381, 4,79381,
+20413,79422,79161,79422,46863,79422, 483,79422, 5,79381,79385,79433,
+79179,79433,79283,79433,79395,79433,79411,79433,79417,79433,20413,79433,
+ 4,79380,79389,79449,79446,79449,79421,79449,79419,79449,79399,79449,
+79433,79449,20413,79460,20413,79449,79433,79464, 5,79380,79425,79469,
+79387,79469,79391,79469,79427,79469,79397,79469,79401,79469,79403,79469,
+79405,79469,79429,79469,79409,79469,79431,79469,79415,79469,79423,79469,
+20413,79495, 1369,79139, 5,79499,27979,79139,65869,79503, 9,79503,
+20501,79139, 4,79508,79433,79511, 5,79508,18967,79514,21037,79508,
+ 4,79509,79517,79521,79243,79521,79295,79521,79469,79521, 5,79509,
+79519,79531, 9875,79139, 4,79534, 5,79534, 4,79535, 5,79535,
+ 4,77750, 3,79545, 5,77750,10256,79549,37356,79549, 4745,79549,
+ 1011,79555,17423,79549, 1011,79559,63550,79549,64489,79549,63493,79549,
+ 17,79566,70803,79549,56555,79571,74752,79549, 8982,79549,74571,79549,
+ 17,79578, 8861,79549, 17,79582,37844,79549,27979,79549, 483,79589,
+ 253,79549,56555,79593, 8337,79549, 483,79597, 241,79549, 1325,79549,
+ 17,79602, 331,79549, 17,79606, 1328,79549, 334,79549, 53,79549,
+56555,79615,20501,79549, 1011,79619,36773,79549, 483,79623, 9875,79549,
+ 1011,79627, 1359,79549, 393,79549, 2,79549,37325,79634,10219,79634,
+ 3,79549, 483,79641,35187,79640,10257,79641,37357,79641, 62,79549,
+ 59,79549, 17,79652,20103,79549, 483,79657, 1471,79549,56555,79661,
+ 3,79548,27979,79665, 8685,79665,26293,79665,41503,79665, 1369,79665,
+16381,79665,13325,79665,19513,79665,35843,79665, 8401,79665, 4137,79665,
+14625,79665, 4569,79665,20219,79665, 3863,79665, 4063,79665,20697,79665,
+37019,79665, 9955,79665,10273,79665,37377,79665,18967,79549, 165,79709,
+ 1369,79549,38057,79713,35187,79549, 3,79717, 3,79716, 17,79549,
+63493,79722,74571,79722, 8861,79722, 1325,79722, 331,79722, 59,79722,
+37325,79549, 2,79736, 3,79736, 2,79737, 3,79737,10219,79549,
+ 2,79746, 3,79746, 2,79747, 3,79747, 5,77751, 1196,79756,
+ 1196,79757, 1197,79756,79761,79763,21604,79757, 6,79757, 587,79769,
+21605,79771, 1,79757, 3,79774, 3,79775,18967,79775, 483,79781,
+ 1,79756,25381,79785,63014,79785,79773,79785,60857,79785, 483,79792,
+ 483,79785,60857,79796, 6,79756,79787,79801,63015,79801,79785,79805,
+25380,79801,79785,79809,79789,79801,79783,79801,79799,79801, 1369,79801,
+21605,79818,79785,79821,79795,79801,21605,79801, 1369,79826,79785,79829,
+ 1216,79757, 413,79757, 1197,79757,79759,79837,79546,79757, 903,79757,
+20735,79757, 9993,79757, 1275,79756, 9,79849,60857,79756, 9,79853,
+56555,79757, 1505,79856,21605,79757,21376,79757, 483,79757,21315,79864,
+58112,79757,21315,79757, 483,79870, 1505,79757,56555,79874, 2,79756,
+79767,79879, 7,79881, 6,79880,79883,79885, 6,79881, 7,79880,
+79889,79891,79777,79879, 7,79895, 6,79894,79897,79899, 6,79895,
+ 7,79894,79903,79905,28337,79879, 3,79756,79861,79911, 7,79913,
+ 6,79912,79915,79917, 6,79913, 7,79912,79921,79923, 2,79757,
+79779,79927, 7,79929, 6,79928,79931,79933, 6,79929, 7,79928,
+79937,79939, 3,79757, 1,79942,79879,79945, 7,79947, 6,79946,
+79949,79951, 6,79947, 7,79946,79955,79957,79545,79942,79545,79757,
+ 2,79963, 3,79963, 2,79962, 3,79962, 9,79757,63493,79973,
+74571,79973, 8861,79973, 1325,79973, 331,79973, 59,79973, 3,77751,
+79112,79987, 9,79989,78847,79987, 9,79993, 1216,79987,12371,79987,
+ 5,79999, 4,79998,80001,80003, 4,79999, 5,79998,80007,80009,
+ 413,79987, 375,79987,60454,79987,60369,80017, 566,79987,35187,79987,
+79065,80022, 9,80025,79106,79987, 1011,79987,37407,79987,10287,79987,
+65869,79987, 165,80036,38132,79987, 9,79987,38057,80042,67642,79987,
+38057,79987, 9,80048, 165,79987,65869,80052, 5,79986, 4,79987,
+ 5,79987,79065,80060,56555,80060,60369,80065, 483,80060,79065,79987,
+35187,80070, 9,80073, 4,80071, 5,80071, 4,80070, 5,80070,
+56555,79987,49630,80084,46863,80084, 4,80089, 4,80088, 581,80084,
+ 580,80084,49631,80084, 4,80084,46863,80100, 483,80100, 5,80084,
+60369,80107,80091,80107, 4,80085,80095,80113,80099,80113, 5,80085,
+60327,80119,60719,80119,80097,80119,80087,80119,57901,80119,80093,80119,
+80103,80119,80105,80119, 483,80084, 4,80136,80119,80139, 4,80137,
+80107,80143, 483,79987, 5,80146, 2,77751,79538,80151,79541,80153,
+79514,80151,79521,80157,79024,80151,79027,80161,78958,80151,78963,80165,
+79021,80151, 5,80168,79027,80171, 5,80169,79023,80175,78943,80151,
+ 5,80178,78963,80181, 5,80179,78955,80185, 1,80151, 7,80189,
+ 4,80191, 4,80190, 16,80189, 4,80189, 7,80198,28714,80151,
+ 17,80203,79286,80151,79541,80207,79521,80207,35187,80150,79289,80213,
+29229,80213,79352,80213, 9,80213,79139,80220,79139,80213, 9,80224,
+ 9,80151, 4,80150, 265,80231, 5,80150,80193,80235,28337,80235,
+ 4,80151, 1011,80241, 5,80151,80195,80245,80201,80245,79534,80245,
+79543,80251,79508,80245,79531,80255,79021,80244,79027,80259,78943,80244,
+78963,80263,79021,80245,79029,80267,78943,80245,78971,80271,80197,80245,
+28219,80245,30475,80245,23939,80245,79139,80244,79541,80283,79521,80283,
+21605,80244, 17,80289,79139,80151,35187,80293, 9,80295, 4,80293,
+ 5,80293,79537,80301,79511,80301,79177,80301,79179,80301,79285,80301,
+79283,80301, 4,80292,80301,80315, 5,80292,79541,80319,79521,80319,
+80299,80319,21605,80151, 5,80326, 17,80329, 5,80327, 9,80333,
+ 4,77751,79750,80337,79753,80339,79740,80337,79743,80343,78922,80337,
+78925,80347,78880,80337,78883,80351,78919,80337, 3,80354,78925,80357,
+ 3,80355,78921,80361,78875,80337, 3,80364,78883,80367, 3,80365,
+78877,80371, 6,80337, 1369,80375,56555,80377, 1,80337,60857,80381,
+ 1275,80383, 1,80336,58931,80387,19916,80387,80379,80387,18967,80387,
+ 1275,80394, 1275,80387,18967,80398, 6,80336,19917,80403,80387,80405,
+80389,80403,80391,80403,58930,80403,80387,80413,80385,80403,80401,80403,
+ 587,80403,56555,80420,80387,80423,80397,80403,56555,80403, 587,80428,
+80387,80431,43214,80337,79640,80337,79753,80437,79743,80437, 2,80336,
+ 265,80443, 2,80337, 903,80447, 3,80337,67988,80450,67988,80451,
+67989,80450,80455,80457,79746,80451,79755,80461,79736,80451,79745,80465,
+78919,80450,78925,80469,78875,80450,78883,80473,78919,80451,78927,80477,
+78875,80451,78887,80481,67989,80451,80453,80485,79549,80450,79753,80489,
+79743,80489,38305,80450,79549,80337, 2,80497, 3,80497,79749,80501,
+79739,80501,79551,80501,79553,80501,79639,80501,79637,80501, 2,80496,
+80501,80515, 3,80496,79753,80519,79743,80519,80499,80519,38305,80337,
+ 3,80526, 3,80527, 0, 7, 1517,80532, 2575,80535, 949,80532,
+ 2599,80539, 1476,80532, 2269,80543, 280,80532, 2289,80547, 272,80532,
+ 4437,80551, 121,80532,38343,80555, 3075,80555, 1913,80555, 76,80532,
+ 3005,80563, 1899,80563,38337,80563, 123,80533, 3061,80571, 81,80533,
+ 2997,80575, 367,80532, 7627,80579, 357,80532, 1927,80583, 397,80532,
+ 7895,80587, 1516,80532, 948,80532, 107,80532, 2221,80595, 203,80532,
+ 2215,80599, 215,80532, 4339,80603, 91,80532, 5045,80607, 1477,80532,
+ 281,80532, 273,80532, 317,80532,14469,80617, 67,80532,11087,80621,
+ 4643,80621, 2233,80621, 4625,80621, 9,80629, 53,80532, 2289,80633,
+ 1471,80532, 2269,80637,80012,80533,77949,80641,79834,80533,77949,80645,
+79996,80533,78669,80649,79832,80533,78669,80653,78546,80533,77949,80657,
+78108,80533,78141,80661,77949,80661,77855,80533,77949,80667, 416,80533,
+17993,80671, 418,80533,17993,80675, 447,80533,17993,80679, 295,80532,
+ 294,80532, 76,80533,38587,80687,26285,80533,26390,80533,26106,80533,
+ 121,80533,38585,80697,26502,80533,32269,80533,31761,80533,32563,80533,
+31921,80533,31591,80533,78287,80533,78141,80713,78099,80713,77949,80713,
+23788,80533,27830,80533,27947,80533,41746,80533,26216,80533,41414,80533,
+26126,80533,41348,80533,26328,80533,41556,80533,29029,80533,43319,80533,
+ 203,80533, 2211,80745,60857,80745, 85,80533, 4593,80751, 2229,80751,
+60857,80751,80229,80533,39823,80533,23013,80533,39229,80533,39783,80533,
+38673,80533,38675,80533, 107,80533, 5019,80773, 2219,80773,60857,80773,
+80228,80533,40956,80533,45411,80783,37899,80783,41493,80533, 1517,80533,
+ 2573,80791,80591,80791, 949,80533, 2593,80797,80593,80797, 280,80533,
+ 2287,80803,80613,80803, 1476,80533, 2267,80809,80611,80809, 272,80533,
+ 4457,80815,80615,80815, 8673,80533, 8681,80533, 8800,80533, 8742,80533,
+41622,80533, 8740,80533, 8610,80533, 8642,80533, 8638,80533,39650,80533,
+42752,80533, 8717,80533, 413,80843, 1369,80842, 341,80842, 3785,80533,
+ 413,80851, 1369,80850, 341,80850, 413,80532, 8717,80859, 3785,80859,
+13443,80859, 7627,80859, 7287,80859, 7895,80859,12755,80859, 1689,80859,
+ 2701,80859, 1705,80859,77859,80859,78459,80880,78548,80859,78048,80859,
+77837,80887,78071,80859,18454,80859,78147,80859,78459,80859,77859,80896,
+ 265,80859,77751,80900,77837,80903,77751,80901,77859,80907,18391,80859,
+ 331,80910, 331,80859,18391,80914, 8495,80859,77751,80859, 265,80920,
+77837,80923,12745,80859, 375,80927, 457,80927, 375,80859,13977,80533,
+80021,80533,13767,80533, 4347,80533, 2213,80533, 2225,80533, 2231,80533,
+10079,80533,79501,80533,18715,80533,18579,80533,14313,80533,80149,80533,
+13945,80533, 4987,80533,14091,80533, 4619,80533,80069,80533,13913,80533,
+ 4555,80533,16635,80533,16301,80533, 2575,80533, 2599,80533, 2289,80533,
+ 2269,80533, 4437,80533, 7549,80533, 7589,80533,13785,80533,80015,80533,
+23755,80533, 1369,80996,39633,80533, 1369,81000,78284,80533, 7205,80533,
+ 2561,80533, 2261,80533, 4423,80533, 2307,80533,79318,80533,10058,80533,
+79674,80533,26331,80533, 1369,81022,41559,80533, 1369,81026, 4329,80533,
+ 1369,81030, 4311,80533, 1369,81034,10354,80533, 3786,80533, 4330,80533,
+27805,80533, 1369,81044,42731,80533, 1369,81048,10055,80533, 1369,81052,
+10351,80533, 1369,81056, 4312,80533,78645,80533,78324,80533,78458,80533,
+ 375,81067, 3794,80533,78147,80533, 413,81073, 1369,81072, 341,81072,
+ 215,80533, 4345,81081,60857,81081,79309,80533, 1369,81086,79665,80533,
+ 1369,81090, 1477,80533,80543,81095, 281,80533,80547,81099, 1516,80533,
+80535,81103, 948,80533,80539,81107,13443,80533,16669,80533,43293,80533,
+26104,80533,41314,80533,26277,80533,41479,80533,13027,80533, 264,81124,
+ 264,81125, 413,81125, 265,81124,81129,81133, 265,81125,81127,81137,
+ 5127,80533, 264,81140, 264,81141, 413,81141, 265,81140,81145,81149,
+ 265,81141,81143,81153,15309,80533, 412,81157, 413,81156,81159,81161,
+ 413,81157, 412,81156,81165,81167,32294,80533,45314,80533,31857,80533,
+44925,80533,14053,80533,22897,80533,39143,80533,78107,80533, 413,81184,
+78141,81187,77949,81187, 413,81185,77859,81193, 1276,80533,17993,81197,
+ 438,80533,17993,81201, 1278,80533,18759,81205, 1242,80533,18759,81209,
+22806,80533, 903,81213, 9,81213,39084,80533, 483,81219,39204,80533,
+41941,81223,22956,80533,26625,81227, 1109,80533,35187,81231, 294,80533,
+80683,81235,35187,81235, 1413,80533, 1471,81241, 295,80533,80685,81245,
+39749,80533, 483,81249,24095,80533,35187,81253, 11,81252,39787,80533,
+ 241,81259, 903,81259, 587,81258,24236,80533,39846,80533,78459,80533,
+ 413,81270,77949,81273, 413,81271,77859,81277,39232,80533,46169,81281,
+ 510,80533, 11,81285, 1108,80533, 11,81289, 1216,80533,79987,81292,
+78669,81295,79757,81292,78669,81299, 1275,81292,18759,81303, 15,81292,
+18759,81307, 8808,80533,41376,80533, 7195,80533, 1141,80533,14315,81317,
+ 959,80533,17125,81321, 253,80533,25793,81324,41019,81324, 8495,81324,
+ 317,80533,15661,81333,14991,81333,17993,81333, 2899,81333, 273,80533,
+80551,81343, 8634,80533, 8677,80533, 331,80533, 413,81351,18391,81353,
+ 413,81350,17993,81357, 8861,81351,63493,81351,74571,81351,15029,81351,
+ 8495,80533, 586,81368, 586,81369, 587,81368,81373,81375, 11,81368,
+ 253,81368, 1471,81368, 53,81368, 587,81369,81371,81387, 305,81369,
+ 713,81369, 25,81369, 1369,81368, 257,81369, 257,81368,14011,80533,
+ 257,80533,25793,81404,41019,81404, 8495,81404, 973,80533,20103,81413,
+ 8337,81413,36773,81413, 341,80533,30091,81421, 8717,81420,20103,81421,
+36773,81421, 8337,81421, 3785,81420,78147,81420, 89,80533,10831,81437,
+10903,81437, 5019,81437,60857,81437,17125,81437, 567,80533,63493,81449,
+74571,81449, 8861,81449, 652,80533,60857,81457, 288,80533, 8861,81461,
+ 265,80533,78670,81465,77859,81467, 413,81465,77751,81471,77837,81473,
+77751,81470,77859,81477,73154,81465,62059,81465,78107,81465,15029,81465,
+ 4593,81465,11985,81465,78459,81465,80057,81465,79911,81465, 8861,81465,
+63493,81465,74571,81465,72152,81465,61718,81465,77751,81465, 413,81508,
+77859,81511, 413,81509,77949,81515, 17,81464,35187,81519, 11,81465,
+60857,81522, 587,81465,71229,81526,71229,81465,60857,81530, 11,81531,
+ 587,81530,60857,81465, 10,81539, 10,81538, 305,81539, 11,81539,
+81543,81547,71229,81538, 11,81538,81541,81553, 587,81464,60857,81557,
+ 11,81464, 8861,81561, 1011,80533,50785,81565, 9,81564, 11,81569,
+ 11,81565, 9,81573,71229,81565,77387,81577, 903,80533,50959,81581,
+45149,80533,35187,81585, 11,81584,32103,80533,27021,81591, 241,81591,
+ 903,81591, 587,81590, 7333,80533, 483,81601, 6789,80533, 9,81605,
+ 903,81605,14073,80533, 241,81611, 903,81611, 587,81610,11277,80533,
+35187,81619, 11,81618,42707,80533, 3445,80533, 375,81627,10313,80533,
+79643,80533, 2621,80533,14229,80533,11571,80533, 5045,80533,35187,81641,
+ 11,81640, 4971,80533, 241,81647, 903,81647, 587,81646, 7009,80533,
+ 7497,80533, 7287,80533, 7845,80533, 7925,80533, 7895,80533, 7685,80533,
+ 7671,80533, 7627,80533,14102,80533,11348,80533, 5096,80533, 5000,80533,
+ 7533,80533, 4617,80533, 483,81683,13907,80533, 483,81687, 7563,80533,
+ 264,81691, 264,81690, 265,81691,81695,81697, 265,81690,81693,81701,
+ 7531,80533, 483,81705,79634,80533,80501,81709,79719,81709,79640,80533,
+ 483,81715,42716,80533,42795,81719,42704,80533, 483,81723,10308,80533,
+36131,81727,10310,80533, 483,81731, 5227,80533, 5009,80533, 3461,80533,
+ 2981,80533, 3049,80533,80061,80533, 483,81745, 240,80532,77859,81749,
+78459,81750,78089,81749,78147,81755,78305,81749,78231,81749,78277,81749,
+78445,81749,78564,81749,78613,81749,78558,81749,78548,81749,78071,81749,
+78387,81749,78459,81776,78425,81749,78459,81780,78434,81749,78147,81785,
+13103,81749, 5161,81749,13074,81749, 5150,81749,13057,81749,13051,81796,
+ 5141,81749, 5137,81800,13051,81749,13057,81804, 5137,81749, 5141,81808,
+13092,81749,13045,81813, 5154,81749, 5133,81817,78048,81749,77837,81821,
+78459,81749,78387,81824,78425,81824,77859,81824,25793,81749,41019,81749,
+ 8495,81749,78147,81749,48009,81749,49321,81749,49001,81749,78399,81749,
+ 265,81847,78459,81849, 265,81846,78147,81853, 265,81749,13027,81856,
+13045,81859, 5127,81856, 5133,81863,13027,81857,13057,81867, 5127,81857,
+ 5141,81871,78399,81856,78147,81875,77751,81856,77837,81879,77751,81857,
+78387,81883,78425,81883,77859,81883,77751,81749, 265,81890,77837,81893,
+23755,81749,39633,81749, 3785,81749, 8717,81749,79309,81749,79665,81749,
+10055,81749,10351,81749,27805,81749,42731,81749,26331,81749, 4329,81749,
+41559,81749, 4311,81749, 5127,81749, 265,81925, 5137,81927, 265,81924,
+ 5133,81931,13027,81749, 265,81935,13051,81937, 265,81934,13045,81941,
+ 1010,80532,27021,81945,24095,81945,52915,81945, 9195,81945,81565,81945,
+ 9,81955,81569,81945,23651,81945,67297,81945,81289,81945,21605,81945,
+ 9,81967,51435,81945, 4321,81945, 9755,81945,11277,81945, 5045,81945,
+ 4295,81945, 3833,81945,69729,81945,26907,81945,70097,81945,27323,81945,
+53941,81945,53215,81945,10171,81945, 9317,81945, 264,80532,51421,82001,
+39619,82001,57811,82001,59743,82001,59933,82001, 8093,82001, 3837,82001,
+53703,82001, 4303,82001,42435,82001, 4287,82001,53487,82001, 9579,82001,
+42113,82001, 9839,82001, 241,82001, 375,82032, 394,82001, 299,82001,
+ 375,82001, 241,82040,78399,80533, 264,82044, 264,82045, 413,82045,
+ 265,82044,82049,82053, 265,82045,82047,82057, 240,80533,78397,82061,
+78459,82063,78099,82061,78147,82066,78264,82061,78283,82061,78260,82061,
+78262,82061,78661,82061,78599,82061,78619,82061,78601,82061,78675,82061,
+77837,82061,77949,82088,78673,82061,77950,82061,78118,82061,78459,82097,
+78670,82061,77859,82101,77949,82061,78147,82104,77837,82104,78141,82061,
+78147,82110, 413,82061,77751,82115,77837,82117,77751,82114,77859,82121,
+78147,82061,78099,82124,78141,82124,77949,82124,78107,82061, 265,82132,
+78459,82135, 265,82133,78147,82139,77751,82061, 413,82142,77859,82145,
+ 413,82143,77949,82149, 265,82061,78107,82152,78459,82155,78107,82153,
+78141,82159, 902,80533,37663,82163,37599,82163, 265,80532,25793,82169,
+41019,82169,39787,82169,23755,82169,39633,82169, 8495,82169,78147,82169,
+ 8717,82169, 3785,82169,79309,82169,79665,82169,27805,82169,42731,82169,
+10055,82169,10351,82169,26331,82169,41559,82169, 4329,82169, 4311,82169,
+ 4555,82169,14073,82169, 4971,82169,21605,82169,65869,82215,38305,82169,
+56555,82219, 483,82219, 241,80532, 4437,82225, 7,82225, 265,82229,
+39787,82225,51615,82225, 4613,82225,12571,82225,14073,82225, 4971,82225,
+ 375,82225, 510,82225,51937,82225,16683,82225, 4805,82225, 9,82225,
+ 483,82254, 483,82225, 9,82258,38305,82225, 483,82263, 1010,80533,
+55211,82267,64345,82267,36256,82267,35187,82267, 9,82274, 9,82267,
+35187,82278, 1011,80532,10001,82283, 903,82285,27533,82283, 903,82289,
+79139,82283, 903,82293,82267,82283, 9,82296,82278,82283,81231,82283,
+21605,82283, 903,82305, 9,82283,82267,82308, 903,80532, 3549,82313,
+ 2001,82313,21769,82313,10291,82313, 1011,82321,42613,82313, 1011,82325,
+79549,82313, 1011,82329,24095,82313,25793,82313, 8495,82313, 5045,82313,
+11277,82313,39787,82313,14073,82313, 4971,82313,21605,82313, 955,82349,
+ 9,82349,65869,82349,38305,82313, 1011,82357, 483,82357,41019,82313,
+ 264,80533, 53,82365, 1471,82365, 253,82365,72567,82365,76285,82365,
+76939,82365,77751,82364, 375,82379, 471,82365, 367,82365, 357,82365,
+ 341,82365, 241,82389, 241,82365, 9,82393, 483,82393, 413,80533,
+78106,82398,78107,82399,82401,82403,78459,82403,78106,82399,78107,82398,
+82409,82411,78141,82411,77949,82411,79987,82398,77949,82419,79757,82398,
+77949,82423,78459,82398,77949,82427, 331,82398,17993,82431, 261,82398,
+17993,82435,77949,82399,78459,82439,17993,82399, 331,82443, 1275,82398,
+17993,82447, 15,82398,17993,82451, 375,80533, 53,82455, 1471,82455,
+ 253,82455, 1369,82455, 11,82455, 261,80533, 413,82467,18391,82469,
+ 413,82466,17993,82473,15029,82467, 264,82477, 265,82476,82479,82481,
+ 264,82476, 265,82477,82485,82487,16531,80533, 483,82491,12745,80533,
+ 264,82495,13129,82495, 413,82495,13119,82501,15503,82495,50535,82495,
+50929,82495,51081,82495,82231,82495,13171,82495,13133,82495, 264,82494,
+ 265,82495,82519,82521, 265,82494,82497,82525, 375,82495, 257,82495,
+ 264,82531, 265,82530,82533,82535, 264,82530, 265,82531,82539,82541,
+ 566,80533, 53,82545, 253,82545, 1471,82545, 88,80533, 1369,82553,
+ 1346,80533,55211,82557,28714,80533,28337,82561,60618,80533,60757,82565,
+ 3,82565,60755,82569, 154,80533,37663,82573,43214,80533,43053,82577,
+ 483,82577,43502,80533,80531,82583,46169,82583, 67,80533,11529,82589,
+11569,82589, 4610,82589,61780,82589, 9,82589, 4593,82598,60857,82598,
+60857,82589, 9,82604, 4593,82589, 9,82608,37845,80533,38305,82612,
+45411,82615,37899,82615,79926,80533,79987,82621, 4,82623, 5,82622,
+82625,82627, 5,82623, 4,82622,82631,82633,80058,80533,79757,82637,
+ 2,82639, 3,82638,82641,82643, 3,82639, 2,82638,82647,82649,
+80244,80533, 17,82653, 1447,80533,14315,82657, 33,80533,14315,82661,
+ 759,80533,17125,82665, 47,80533,17125,82669, 1471,80533,41019,82672,
+25793,82672, 8495,82672, 53,80533,25793,82680,41019,82680, 8495,82680,
+25793,80533, 586,82688, 586,82689, 11,82688, 1369,82688, 587,82688,
+82693,82699, 253,82688, 53,82688, 1471,82688, 587,82689,82691,82709,
+ 25,82689, 713,82689, 305,82689, 257,82688, 257,82689, 1325,80533,
+74571,82723,63493,82723, 8861,82723,15029,82723,41019,80533, 586,82732,
+ 586,82733, 587,82732,82737,82739, 11,82732, 253,82732, 1471,82732,
+ 53,82732, 713,82733, 25,82733, 305,82733, 587,82733,82735,82757,
+ 257,82732, 1369,82732, 257,82733, 59,80533,63493,82767,74571,82767,
+ 8861,82767,15029,82767,79139,80533,80244,82777,80245,82777,80293,82777,
+ 4,82782,80319,82785, 4,82783,80301,82789,80298,82777,80319,82793,
+21036,82777,21037,82777, 1216,82777, 413,82777,80245,82776,82779,82805,
+ 1011,82777, 903,82808,21037,82776,82797,82813,80244,82776,82781,82817,
+21036,82776,82799,82821,65869,82777, 9,82777, 903,82777, 1011,82828,
+ 4,82777,80293,82833,80315,82835,80293,82832,80319,82839,79549,80533,
+80450,82843,80451,82843,80497,82843, 2,82848,80519,82851, 2,82849,
+80501,82855,80498,82843,80519,82859, 1216,82843, 413,82843,80451,82842,
+82845,82867, 903,82843, 1011,82870,80450,82842,82847,82875,56555,82843,
+ 483,82843, 1011,82843, 903,82882, 2,82842,80501,82887,79719,82887,
+ 3,82842,80337,82892, 483,82893, 3,82843,82867,82899, 1369,82899,
+ 2,82843,82875,82905,82895,82905,80497,82905,80515,82911,80497,82904,
+80519,82915,80519,82905,80437,82905,80489,82905,79587,82905,79721,82905,
+79645,82905,80337,82842, 3,82930,82905,82933, 3,82931,82887,82937,
+27533,80533, 1216,82941, 413,82941,21036,82941,21037,82941, 1011,82941,
+ 903,82950,21037,82940,82947,82955,21036,82940,82949,82959, 9,82941,
+65869,82941, 903,82941, 1011,82966,42613,80533, 1216,82971, 413,82971,
+ 903,82971, 1011,82976, 483,82971,56555,82971, 1011,82971, 903,82984,
+ 2,82971,42667,82989,42791,82989,42709,82989, 3,82971, 1369,82997,
+ 2,82970,42795,83001, 3,82970, 483,83005,10001,80533, 1216,83009,
+ 413,83009,21036,83009,21037,83009,21036,83008,83017,83019, 1011,83009,
+ 903,83022,21037,83008,83015,83027,65869,83009, 9,83009, 903,83009,
+ 1011,83034,10291,80533, 1216,83039, 413,83039, 903,83039, 1011,83044,
+56555,83039, 483,83039, 1011,83039, 903,83052, 2,83039,37871,83057,
+36133,83057,35803,83057, 3,83039, 1369,83065, 2,83038,36131,83069,
+ 3,83038, 483,83073, 1369,80533,26331,83076,25793,83076,23755,83076,
+27805,83076,40381,83077,41559,83076, 8717,83076,21036,83077,39633,83076,
+78147,83076,79309,83076,10055,83076,42731,83076, 3785,83076,79665,83076,
+ 4329,83076,10351,83076, 4311,83076,38305,83076,41941,83115,41019,83076,
+ 8495,83076,38305,83077,41019,83123, 5,83077,18967,83126,18967,83077,
+ 11,83131, 5,83130, 17,80533,25367,83137,62984,83137,60857,83137,
+ 265,83143, 241,83142, 241,83137,60857,83148,21605,83136,26625,83153,
+ 265,83136,35187,83157,21605,83137,25793,83161,35187,83137, 265,83165,
+ 587,80533,62984,83169,62518,83169,68807,83169,36526,83169,17125,83169,
+ 265,83169,35187,83180,35187,83169,60857,83184, 265,83184,32103,83168,
+38305,83168, 483,83193,39787,83168,14073,83168, 4971,83168, 265,83168,
+60857,83203, 241,83169,60857,83206,60857,83169, 241,83210,35187,83210,
+ 11,80533,25793,83216,41019,83216, 8495,83216, 265,83217, 8495,83225,
+45149,83216,21605,83216, 903,83231, 9,83231,24095,83216,11277,83216,
+ 5045,83216, 265,83216, 8861,83243, 3,83217, 375,83247,38305,80533,
+76424,83251,54262,83251,54219,83251,76453,83251,42185,83251,42193,83260,
+42194,83251,42191,83251,42193,83251,42185,83268,80450,83251,37844,83251,
+37845,83251,44663,83277,38707,83277,43483,83277,37897,83277,80451,83251,
+80450,83250,83287,83289, 120,83251, 77,83251,32805,83251,54225,83251,
+54129,83298,76337,83251,76307,83302,76307,83251,76337,83306,54129,83251,
+54225,83310, 113,83251, 25,83314, 506,83251, 1216,83251, 413,83251,
+ 1413,83251,37845,83250,45411,83327,83275,83327,37899,83327,37897,83250,
+83275,83335,65076,83251,37844,83250, 6,83340,83277,83343,83277,83341,
+80451,83250,83273,83349, 66,83251, 33,83353, 25,83251, 113,83356,
+ 1281,83251, 1086,83251, 922,83251, 483,83251, 241,83366, 587,83367,
+ 903,83366, 241,83251, 483,83374, 903,83251, 1011,83378, 483,83378,
+ 1369,83250,41941,83385, 587,83250, 483,83389, 587,83251, 1011,83392,
+ 1011,83251, 903,83396, 11,83397, 587,83396, 1275,83250,46169,83405,
+60857,83251,56555,83408,56555,83251, 11,83413,60857,83412, 2,83250,
+80531,83419,46169,83419, 3,83250,43053,83425, 483,83425, 2,83251,
+80435,83431,80495,83431,43461,83431,80529,83431,46599,83431,43425,83431,
+ 3,83251,43837,83445,43027,83445, 11,83445, 25,83451,39747,83445,
+ 11,83444, 33,83457, 1369,83445, 11,83251, 3,83463, 113,83465,
+ 3,83462, 33,83469, 15,80533, 1216,83473,18617,83475, 413,83473,
+18391,83479,25545,83473,62942,83473, 1216,83472,18759,83487, 413,83472,
+17993,83491,60857,83473, 1011,83494,18967,83473, 17,83499, 1011,83473,
+60857,83502, 3,83472,37663,83507, 3,83473,37611,83511,38155,83511,
+35927,83511,21605,80533,27065,83519,27261,83519,21036,83519,21037,83519,
+27067,83519,27255,83519,73221,83519,55211,83519,36256,83519,51593,83519,
+55803,83519,64345,83519,54477,83519, 1216,83519, 413,83519,21037,83518,
+83525,83551,21036,83518,83527,83555, 247,83519, 934,83519, 9,83519,
+35187,83562, 11,83563, 1011,83519, 903,83568, 17,83518,26625,83573,
+ 11,83518, 903,83577, 9,83577, 11,83519, 903,83582, 903,83519,
+27021,83587, 1011,83586, 11,83587, 11,83586,35187,83519, 9,83596,
+65869,83519, 5,83518,28337,83603, 5,83519,27021,83607,52915,83607,
+ 9195,83607,20501,83607, 9875,83607,30475,83607,28219,83607,23939,83607,
+ 1275,80533,43214,83624,43214,83625,43215,83624,83629,83631, 1216,83625,
+18617,83635, 413,83625,18391,83639,43215,83625,83627,83643,40675,83625,
+73994,83625, 1216,83624,18759,83651, 413,83624,17993,83655,71229,83625,
+ 903,83658, 903,83625,71229,83662,38305,83624,46169,83667, 5,83624,
+55211,83671, 5,83625,53813,83675,10107,83675,69877,83675, 483,80533,
+ 241,83683, 9,83685, 9,83682, 11,83689, 17,83683, 903,83693,
+ 11,83683, 9,83697, 5,83682, 53,83701, 253,83701, 1471,83701,
+ 5,83683, 1505,83709, 9,80533,80151,83712, 1011,83713,82267,83717,
+ 241,83713, 483,83721, 483,83712, 11,83725, 1011,83712,81945,83729,
+ 11,83729, 3,83712, 1369,83735, 3,83713, 483,83739,17025,80533,
+ 5,83742, 2,83745, 17,83746, 17,83745, 2,83750, 2,83751,
+ 164,83745,38057,83743,38057,83742,38056,83742,83759,83763,38056,83743,
+83761,83767, 3,83742,83749,83771,83753,83771,83757,83771, 3,83743,
+83755,83779,13737,80533, 375,83783,80151,80533, 9,83786,35187,83787,
+ 9,83791, 5,83787, 9,83795, 5,83786, 17,83799,79987,80533,
+ 413,83802,77949,83805, 413,83803,77859,83809, 1216,83802,78669,83813,
+ 1216,83803,77857,83817, 4,83803,79549,83821, 2,83823, 3,83822,
+83825,83827, 3,83823, 2,83822,83831,83833, 4,83802,79757,83837,
+ 2,83839, 3,83838,83841,83843, 3,83839, 2,83838,83847,83849,
+79757,80533, 413,83852,77949,83855, 413,83853,77859,83859, 1216,83852,
+78669,83863, 1216,83853,77857,83867, 2,83853,79139,83871, 4,83873,
+ 5,83872,83875,83877, 5,83873, 4,83872,83881,83883, 2,83852,
+79987,83887, 4,83889, 5,83888,83891,83893, 5,83889, 4,83888,
+83897,83899, 3,80532,79231,83903,79237,83903,79365,83903,79375,83903,
+73413,83903,73405,83903,40793,83903,40787,83903,71751,83903,36001,83903,
+71731,83903,72115,83903,72929,83903,71713,83903, 7,83903, 4,83933,
+83519,83935,32103,83903,26106,83903,41746,83903,43005,83903, 8800,83903,
+64513,83903,63253,83903,62215,83903,59910,83903,41019,83903, 11,83956,
+60755,83903,60707,83903, 9852,83903,48975,83903,48245,83903,48451,83903,
+76271,83903,82267,83903, 9,83974,82278,83903,83157,83903,81231,83903,
+81235,83903,81519,83903, 386,83903, 347,83903, 510,83903, 273,83903,
+ 281,83903, 1477,83903, 1516,83903, 948,83903, 165,83903, 903,84004,
+40704,83903,79139,84009,27533,84009,10001,84009,73307,83903,79139,84017,
+27533,84017,10001,84017,53500,83903,37595,83903,36049,83903,36539,83903,
+68851,83903,36041,83903,37573,83903,36275,83903, 1505,83903, 1011,84040,
+25793,83903, 11,84044,64397,83903, 483,84049, 8495,83903, 11,84052,
+60618,83903, 483,84057, 375,83903, 305,84060, 903,83903, 165,84064,
+ 1011,83903, 1505,84068, 305,83903, 375,84072, 4,83903,56555,84076,
+ 483,84079, 5,83902,57811,84083,59743,84083,59933,84083, 9579,84083,
+ 9839,84083,51421,84083,39619,84083, 4303,84083, 4287,84083, 8093,84083,
+ 3837,84083,42113,84083,53487,84083,53703,84083,42435,84083,48885,83903,
+ 483,84115, 11,83903,25793,84118,41019,84118, 8495,84118,59875,84118,
+ 9805,84118,53391,84118, 9,83903,82267,84132, 483,84132,38305,84132,
+79139,84139,10001,84139,27533,84139,38305,83903, 9,84146,79139,84149,
+27533,84149,10001,84149, 9805,83903, 11,84156, 5,84157, 483,83903,
+ 9,84162,56555,83903, 4,84166, 483,84169,53391,83903, 11,84172,
+ 5,84173,59875,83903, 11,84178, 5,84179, 2,80532,11087,84185,
+11307,84185,11713,84185,10439,84185, 2221,84185,10665,84185,11037,84185,
+ 2233,84185,17777,84185, 2215,84185,18739,84185, 4339,84185,79091,84185,
+79097,84185, 5075,84185, 4643,84185,79115,84185,79123,84185,59811,84185,
+36619,84185,68291,84185,68299,84185,24213,84185,24059,84185,22149,84185,
+22143,84185,72667,84185,60839,84185,35665,84185,59819,84185,59869,84185,
+35487,84185, 7,84185, 4,84251,27306,84185,24095,84185,53910,84185,
+55537,84185,79280,84185,80301,84263,83607,84185,40455,84185,25313,84185,
+ 8714,84185,32103,84185,26106,84185, 8800,84185,41746,84185,81569,84185,
+48009,84185,49001,84185,49321,84185, 4551,84185,81531,84185,81289,84185,
+81245,84185,83729,84185,10196,84185,70136,84185,10603,84185, 9,84305,
+ 4625,84185, 9,84309,81565,84185, 9,84313,23983,84185, 9,84317,
+76501,84185,68176,84185,79065,84323,59787,84323, 9513,84323,36545,84185,
+79065,84331,59787,84331, 9513,84331, 759,84185,35187,84339,10107,84185,
+ 265,84342, 241,84343,69877,84185, 265,84348, 241,84349, 305,84185,
+ 8495,84354, 959,84185,35187,84359,28714,84185,77079,84185, 1011,84365,
+ 1010,84364,84367,84369, 1010,84365, 1011,84364,84373,84375, 47,84185,
+35187,84379,48245,84185,48975,84185,48451,84185,11277,84185, 5045,84185,
+52603,84185, 8495,84185, 10,84394, 10,84395, 305,84394, 11,84394,
+84399,84403, 11,84395,84397,84407, 331,84185,71229,84411,79549,84185,
+ 1011,84415, 265,84185,53813,84418,71229,84419,10107,84418,69877,84418,
+79757,84419, 903,84185,55211,84431,10291,84185, 1011,84435,25793,84185,
+ 10,84438, 10,84439,27021,84438, 11,84438,84443,84447, 11,84439,
+84441,84451,42613,84185, 1011,84455, 1325,84185,71229,84459, 5,84185,
+27255,84463, 9287,84463,53167,84463,21605,84462, 4,84185,79139,84472,
+80301,84475,49475,84473,73066,84473,28715,84473, 1011,84473,71229,84484,
+71229,84473, 1011,84488,27693,84473,10047,84473,79287,84473,41019,84185,
+ 10,84498, 10,84499, 11,84498,84503,84505, 11,84499,84501,84509,
+ 59,84185,71229,84513, 4,84184, 8495,84517,41019,84517,25793,84517,
+49001,84517,49321,84517,48009,84517, 265,84517,78147,84517,23755,84517,
+39633,84517, 3785,84517, 8717,84517,41559,84517, 4311,84517,79665,84517,
+10351,84517,26331,84517,42731,84517, 4329,84517,79309,84517,27805,84517,
+10055,84517, 5,84184,27021,84563,24095,84563, 9195,84563,52915,84563,
+21605,84563, 9,84573,23651,84563, 9755,84563,51435,84563,67297,84563,
+ 4321,84563,69729,84563,26907,84563, 9317,84563,53215,84563,27323,84563,
+53941,84563, 3833,84563,10171,84563,70097,84563, 4295,84563, 5045,84563,
+11277,84563,53813,84185, 265,84610, 241,84611,48885,84185, 1011,84617,
+ 11,84185,25793,84620, 8495,84620,41019,84620, 17,84185,30091,84629,
+65869,84185, 15,84632,79065,84635,59787,84635, 9513,84635, 803,84633,
+38305,84185, 1011,84645, 1347,84645, 15,84185,28714,84650,28714,84651,
+65869,84650,79065,84657, 9513,84657,59787,84657,28715,84650,84655,84665,
+28715,84651,84653,84669, 9195,84185, 241,84673,35187,84673,21605,84185,
+27255,84679, 7,84678, 4,84682, 4,84683,84253,84679, 16,84678,
+55211,84679, 803,84679, 9,84679, 17,84678, 903,84679,65869,84679,
+ 4,84679,84699,84705, 5,84679,84685,84709,84691,84709,27021,84709,
+ 4,84678, 7,84716,84709,84719, 5,84678,84687,84723,52915,84185,
+35187,84727, 241,84727,27021,84185,35187,84733, 241,84733,25793,84732,
+79139,84185,80245,84740, 4,84740,80301,84745, 5,84740,80151,84748,
+ 4,84741,80319,84753,84751,84753,80207,84753,80283,84753, 5,84741,
+84743,84763, 5,80532,80759,84767, 7,84767, 2,84770, 3,84770,
+83251,84775, 2,84771,84776,84779,84775,84779,83251,84782,83251,84779,
+84775,84786, 3,84771,84773,84791,83251,84793,27306,84767,24095,84767,
+52603,84767,53910,84767,55537,84767,84438,84767,84394,84767,84498,84767,
+81539,84767,25793,84767,27021,84814,84185,84814,64289,84767,84060,84767,
+81569,84767,83729,84767,81245,84767,81289,84767,70136,84767,10196,84767,
+ 273,84767, 1477,84767, 281,84767, 948,84767, 1516,84767,81565,84767,
+ 9,84847, 1505,84767, 1011,84850, 5045,84767,11277,84767, 4551,84767,
+ 922,84767, 1413,84767,20831,84767,19783,84767,20053,84767,58775,84767,
+ 9195,84767, 265,84873, 47,84767,60857,84877, 165,84767, 903,84880,
+41019,84767,84185,84884,27021,84767,25793,84888, 265,84889, 8495,84767,
+84185,84894, 959,84767,60857,84899, 89,84767, 5019,84903,60857,84903,
+ 375,84767,83903,84908, 759,84767,60857,84913, 265,84767,53813,84916,
+69877,84916,10107,84916, 1011,84767, 1505,84924,54597,84925, 903,84767,
+ 165,84930, 483,84930,54295,84931, 1447,84767,18967,84939, 1141,84767,
+18967,84943, 2,84767,61780,84947, 9,84947,60857,84950,54295,84947,
+70085,84947,11529,84947,10155,84947,53925,84947,60857,84947, 9,84964,
+ 3,84767, 8063,84969,42361,84969,53667,84969,84185,84767,41019,84976,
+ 8495,84976,25793,84976,83903,84767, 375,84984, 33,84767,18967,84989,
+ 2,84766,27021,84993,24095,84993, 9195,84993,52915,84993,21605,84993,
+ 9,85003,67297,84993, 9755,84993,51435,84993,23651,84993, 4321,84993,
+26907,84993,69729,84993,10171,84993,53941,84993,70097,84993,53215,84993,
+ 9317,84993, 4295,84993,27323,84993, 3833,84993, 5045,84993,11277,84993,
+ 3,84766,57811,85041,59743,85041,59933,85041,51421,85041,39619,85041,
+ 4303,85041, 4287,85041, 9579,85041, 9839,85041, 8093,85041, 3837,85041,
+53487,85041,42113,85041,53703,85041,42435,85041,52915,84767, 265,85073,
+ 587,84767,60857,85077,70573,85077, 1369,84767,43503,85083, 483,84767,
+ 903,85086,21605,84767, 9,85091, 145,85091,10107,84767, 265,85096,
+ 9,84767,53813,84767, 265,85102,69877,84767, 265,85106, 4,80532,
+83715,85111,80781,85111,83789,85111, 7,85111, 2,85118,83511,85121,
+ 2,85119,82163,85125,83507,85125,82573,85125, 1368,85111,83511,85133,
+25525,85111,84498,85111,84438,85111,84709,85111,79634,85111,80501,85145,
+84394,85111,64513,85111,63253,85111,62215,85111,81539,85111,64397,85111,
+ 483,85159,83787,85111, 9,85163,43214,85111, 8495,85111,84185,85168,
+ 587,85169, 331,85111,60857,85175,79139,85111, 903,85179, 265,85111,
+60857,85183,79987,85183,10001,85111, 903,85189,41019,85111,84185,85192,
+ 587,85193,27533,85111, 903,85199, 59,85111,60857,85203, 3,85111,
+ 4,85206,85125,85209,38305,85206, 2,85111, 7,85214,83511,85217,
+79549,85214,80501,85221,49155,85215,62464,85215,43215,85215, 903,85215,
+60857,85230,60857,85215, 903,85234,42705,85215,10311,85215,79641,85215,
+84185,85111,25793,85244,41019,85244, 8495,85244,25793,85111,84185,85252,
+ 587,85253, 1325,85111,60857,85259, 2,85110, 8495,85263,25793,85263,
+41019,85263,49321,85263,49001,85263,48009,85263, 265,85263,78147,85263,
+39633,85263,23755,85263, 3785,85263, 8717,85263,26331,85263, 4329,85263,
+79309,85263,10055,85263,41559,85263,27805,85263, 4311,85263,79665,85263,
+42731,85263,10351,85263,49205,85111, 903,85309,21605,85111, 903,85313,
+ 155,85313, 1275,85111,43215,85319,77751,85111,38305,85111, 7,85324,
+ 2,85326, 2,85327, 1368,85324, 1369,85324, 2,85325,85335,85337,
+ 3,85325,85329,85341,85333,85341,84185,85341, 2,85324, 7,85348,
+85341,85351, 3,85324,85331,85355,79549,85111,80451,85358, 2,85358,
+80501,85363, 3,85358,80337,85366, 2,85359,80519,85371,85369,85371,
+80437,85371,80489,85371, 3,85359,85361,85381, 5,80533,83932,85385,
+83933,85385,64148,85385,64149,85385, 0,85385,56555,85395, 1369,85397,
+ 7,85385,83903,85400,60857,85400, 265,85401,83903,85407, 1275,85401,
+60857,85411, 0,85384,63015,85415,25380,85415,85413,85415,21605,85415,
+ 1369,85422, 1369,85415,21605,85426, 7,85384,85417,85431,25381,85431,
+85415,85435,63014,85431,85415,85439,85419,85431,85399,85431,85429,85431,
+85425,85431, 483,85431,60857,85450,85415,85453,60857,85431, 483,85456,
+85415,85459,54440,85385,83903,85385, 7,85464,27425,85385,53137,85385,
+ 9365,85385, 803,85385,60857,85474,62310,85385,85206,85385,85125,85481,
+ 241,85385, 483,85485,54295,85484,54295,85385, 241,85490, 483,85384,
+ 53,85495, 253,85495, 1471,85495, 1275,85384,55211,85503,21605,85384,
+28337,85507, 1369,85385, 1011,85511,60857,85385, 7,85514, 803,85514,
+ 2,85384,85389,85521,85393,85521,55211,85521,64345,85521,84132,85521,
+36256,85521,83903,85521, 9,85534, 9,85521,83903,85538,35187,85538,
+35187,85521, 9,85544, 3,85384,85467,85549,85387,85549,85403,85549,
+85401,85549,83903,85557,85391,85549,85517,85549,85405,85549, 53,85549,
+ 1471,85549, 253,85549,76285,85549,76939,85549,72567,85549, 241,85549,
+ 483,85579, 9,85579, 2,85385, 3,85385, 165,85587, 1108,85587,
+ 1072,85587,76337,85587, 1011,85587, 483,85596, 9,85596,85111,85586,
+85125,85603, 9,85587, 1011,85606, 483,85587, 1011,85610,80151,85384,
+ 17,85615,85111,85385, 1368,85618, 7,85618, 2,85623, 2,85622,
+ 1369,85618, 2,85619,85629,85631, 3,85619,85627,85635,85121,85635,
+85217,85635,85621,85635,85133,85635, 2,85618, 7,85646,85635,85649,
+ 3,85618,85625,85653,85125,85653,55211,85385, 265,85659, 17,85385,
+ 3,80533,73221,85665, 9,85667,78796,85665, 9,85671, 8139,85665,
+53639,85665,42521,85665,85322,85665, 9,85681,55004,85665,85111,85665,
+77751,85686, 9,85689,42613,85664, 483,85693,10291,85664, 483,85697,
+79549,85664, 483,85701,85585,85665, 9,85705, 9,85664, 1369,85709,
+ 15,85664,37663,85713,85125,85713,38305,85664,43053,85719, 483,85719,
+ 17,85665, 903,85725,35187,85665,77751,85728, 9,85731, 4,85664,
+85125,85735,37663,85735, 5,85664,76939,85741, 1471,85741, 53,85741,
+ 253,85741,76285,85741,72567,85741, 241,85741, 9,85755, 483,85755,
+ 5,85665, 1505,85761, 922,85761, 918,85761,54597,85760, 903,85761,
+ 9,85770, 483,85770, 483,85761, 903,85776, 9,85761, 903,85780,
+77751,85760, 9,85785,79756,85665, 9,85789,84185,85665, 16,85792,
+ 7,85792, 4,85797, 4,85796, 17,85792, 4,85793,85803,85805,
+ 483,85805, 5,85793,85801,85811,85797,85811,85795,85811, 4,85792,
+ 7,85818,85811,85821, 5,85792,85799,85825,54597,85665, 11,85829,
+ 5,85828, 1369,85665, 9,85835,18967,85665, 4,85839, 483,85841,
+77751,85665,35187,85844, 9,85847, 9,85845,85111,85851,85111,85844,
+ 9,85855, 5,85845, 17,85859, 5,85844, 9,85863,77751,85664,
+ 375,85867,79986,80533, 375,85871, 2,80533,80080,85875,80079,85877,
+80298,85875,80319,85881,80293,85875, 4,85884,80319,85887, 4,85885,
+80301,85891,11727,85875,11047,85875,17787,85875,18737,85875,78670,85875,
+77859,85903,10874,85875,77952,85875,77857,85909, 7,85874,83903,85913,
+85167,85875,85355,85875,85213,85875, 1216,85875,77751,85923,77877,85925,
+77751,85922,77857,85929,62310,85875,64483,85875,68896,85875,62464,85875,
+61780,85875,61688,85875,85159,85875,10831,85875, 9,85946, 413,85875,
+77751,85951,77837,85953,77751,85950,77859,85957,74571,85875,17178,85875,
+50959,85875,43400,85875,11177,85875,84077,85875,85913,85971,40675,85875,
+55546,85875,54440,85875,69196,85875,17125,85875, 9,85982,15029,85875,
+65869,85986,52169,85875,49155,85875,40453,85875,43305,85875,40005,85875,
+84767,85875,77751,86001, 9,86003,73994,85875,42613,85874,42795,86009,
+10291,85874,36131,86013,70135,85875,53919,85875,10195,85875,79842,85875,
+79757,85875, 903,86024,63493,85875, 8861,85875,80058,85875,80079,86033,
+54422,85875,11529,85875,54447,85875,52601,85875, 145,85875,35187,86044,
+36096,85875,79601,85875,79549,85874,80501,86053,79719,86053,64396,85875,
+85111,86059, 1011,85875,43215,86062, 241,85875,54295,86066,65869,85875,
+60857,86070,15029,86070, 9,85875,10831,86076,60857,86076,17125,86076,
+84076,85875, 483,86085, 803,85875,60857,86088, 903,85875,53813,86093,
+60857,86092,10107,86093,69877,86093,79757,86092,71229,86092, 265,85875,
+55211,86106,10371,85875,42787,85875,55211,85875,60857,86114, 265,86114,
+38305,85874,46169,86121,80531,86121,72818,85875, 11,85875,43215,86128,
+43316,85875,35187,85875,54295,86134, 145,86134,71229,85875, 903,86140,
+ 155,86140,43215,85875, 10,86147, 10,86146,85111,86147, 1011,86146,
+84767,86147, 11,86147,86151,86159, 11,86146,86149,86163, 155,85875,
+71229,86166, 5,85874,55211,86171,64345,86171,84132,86171,36256,86171,
+83903,86171, 9,86180, 9,86171,83903,86184,35187,86184,35187,86171,
+ 9,86190, 4,85875,80070,86195,80077,86197,80293,86195,80315,86201,
+80293,86194,80319,86205, 483,86195,83903,86209,80533,86194, 3,86213,
+ 7,86195,86215,86217, 2,86217,86213,86221,79987,86194,80079,86225,
+83903,86194, 483,86229,77751,86195,79545,86233, 3,86235, 2,86234,
+86237,86239, 2,86235, 3,86234,86243,86245,77751,86194,79549,86249,
+ 3,86251, 2,86250,86253,86255, 2,86251, 3,86250,86259,86261,
+ 5,85875,85914,86265,85913,86265,83903,86268,49713,86265,49712,86264,
+86273,86275,49712,86265,49713,86264,86279,86281,53813,86265,64317,86265,
+64815,86265,62077,86265,10107,86265,69877,86265, 17,86265,83903,86297,
+35187,86297,60857,86264,85111,86303,65869,86265, 9,86307, 587,86265,
+60857,86311,83903,86265,85913,86314,79757,85874,79987,86319, 4,86321,
+ 5,86320,86323,86325, 5,86321, 4,86320,86329,86331,80336,85875,
+79549,86335, 3,86337, 2,86336,86339,86341, 2,86337, 3,86336,
+86345,86347,83903,85875, 16,86351, 7,86351,86265,86355, 4,86354,
+ 4,86355, 17,86351, 4,86351, 7,86364, 5,86351,86361,86369,
+ 4,86350,86363,86373, 483,86373, 5,86350,86359,86379,86367,86379,
+86355,86379,86353,86379,54295,85875, 241,86388,35187,86388,60857,85875,
+ 7,86395, 4,86396, 4,86397,86265,86397, 16,86395, 17,86395,
+ 803,86394,55211,86394, 903,86394,65869,86394, 9,86394, 4,86394,
+86407,86419, 5,86394,86399,86423,86405,86423,85111,86423, 4,86395,
+ 7,86430,86423,86433, 5,86395,86401,86437,77751,85875, 413,86440,
+77859,86443, 413,86441,77949,86447, 1216,86440,77857,86451, 1216,86441,
+78669,86455, 4,86441,79757,86459, 3,86461, 2,86460,86463,86465,
+ 2,86461, 3,86460,86469,86471, 4,86440,79549,86475, 3,86477,
+ 2,86476,86479,86481, 2,86477, 3,86476,86485,86487,79987,85875,
+80244,86491,80245,86491,80151,86491, 5,86496, 5,86497, 4,86491,
+80083,86503,80029,86503,80063,86503,86501,86503, 5,86491,80151,86512,
+ 4,86490,80079,86517,86513,86517,86493,86517,86515,86517,86499,86517,
+ 5,86490,86495,86529,86503,86529,77751,85874,86529,86535,86503,86536,
+86532,86535,86521,86535,86512,86535,86517,86545,86503,86535,86529,86548,
+86491,86535, 5,86552,86517,86555, 5,86553,86503,86559,85663,86535,
+85100,86535, 9,86535,84767,86566,84767,86535, 9,86570, 5,86535,
+86491,86574,86517,86577,86491,86575,86529,86581,80150,80533,80315,86585,
+80301,86586,80298,86585,80319,86591,80301,86585,80315,86594,80316,86585,
+80325,86585,80293,86585, 4,86602,80319,86605, 4,86603,80301,86609,
+85663,86585,85100,86585, 9,86585,84767,86616,84767,86585, 9,86620,
+ 4,86585,80293,86625,80315,86627,80293,86624,80319,86631, 4,80533,
+79968,86635,79967,86637,80498,86635,80519,86641,80497,86635, 2,86644,
+80519,86647, 2,86645,80501,86651,78670,86635,77859,86655,77952,86635,
+77857,86659, 0,86635,21605,86663, 587,86665, 7,86635, 483,86669,
+18967,86671, 0,86634,19917,86675,58930,86675,86673,86675,56555,86675,
+ 587,86682, 587,86675,56555,86686, 7,86634,58931,86691,86675,86693,
+86677,86691,86679,86691,19916,86691,86675,86701,86265,86691,86667,86691,
+86689,86691,86685,86691, 1275,86691,18967,86712,86675,86715,18967,86691,
+ 1275,86718,86675,86721,29023,86635,25513,86635,24619,86635,84363,86635,
+84723,86635,84471,86635, 1216,86635,77751,86737,77877,86739,77751,86736,
+77857,86743,63610,86635,63291,86635,84321,86635,86028,86635,86030,86635,
+85960,86635,86437,86635,76631,86635,76601,86635,74682,86635, 8974,86635,
+ 413,86635,77751,86769,77837,86771,77751,86768,77859,86775,63493,86635,
+ 483,86778,85875,86778,29598,86635,25545,86635,59206,86635,15029,86635,
+56555,86790,62942,86635,80030,86635,79987,86635, 1011,86798,74571,86635,
+85875,86802, 483,86802, 8861,86635,85875,86808, 483,86808,79926,86635,
+79967,86815,85875,86635, 8861,86818,63493,86818,74571,86818,79263,86635,
+76816,86635,77387,86829,76500,86635,84185,86833, 11,86833, 903,86635,
+28715,86838,56555,86635,15029,86842, 483,86635,63493,86846,74571,86846,
+ 8861,86846, 1011,86635,79987,86854,60857,86854,10073,86635,27855,86635,
+62278,86635, 587,86635,28715,86866,29026,86635,60857,86635, 1011,86872,
+ 1347,86872,28715,86635, 11,86879,84185,86879, 903,86878, 587,86878,
+ 1347,86635,60857,86888, 2,86634, 4,86893, 7,86895, 3,86634,
+85125,86899,37663,86899, 2,86635,79962,86905,79965,86907,80497,86905,
+80515,86911,80497,86904,80519,86915,79757,86904,79967,86919,71229,86904,
+77387,86923,77751,86905,79065,86927, 5,86929, 4,86928,86931,86933,
+ 4,86929, 5,86928,86937,86939,77751,86904,79139,86943, 5,86945,
+ 4,86944,86947,86949, 4,86945, 5,86944,86953,86955, 3,86635,
+85217,86959,85121,86959,86897,86959,86217,86959,85133,86959, 6,86959,
+ 6,86958, 7,86958,86971,86975, 7,86959,86973,86979,60755,86959,
+35927,86959,38155,86959,37611,86959,71229,86958,84185,86991, 11,86991,
+79987,86634,79757,86997, 2,86999, 3,86998,87001,87003, 3,86999,
+ 2,86998,87007,87009,80150,86635,79139,87013, 5,87015, 4,87014,
+87017,87019, 4,87015, 5,87014,87023,87025,84767,86635, 1368,87029,
+ 7,87029, 2,87032, 2,87033, 1369,87029, 2,87029, 7,87040,
+ 3,87029,87037,87045, 2,87028,87039,87049, 3,87028,87035,87053,
+87043,87053,87031,87053,71229,86635, 7,87061, 2,87062, 2,87063,
+ 1368,87061, 1369,87061, 2,87060,77387,87073,87071,87073, 3,87060,
+87065,87079,87069,87079,84185,87079, 11,87079, 2,87061,77373,87089,
+76635,87089, 7,87088,87079,87095,72519,87089, 3,87061,87067,87101,
+85875,87101,77751,86635, 413,87106,77859,87109, 413,87107,77949,87113,
+ 1216,87106,77857,87117, 1216,87107,78669,87121, 2,87107,79987,87125,
+ 5,87127, 4,87126,87129,87131, 4,87127, 5,87126,87135,87137,
+ 2,87106,79139,87141, 5,87143, 4,87142,87145,87147, 4,87143,
+ 5,87142,87151,87153,79757,86635,80450,87157,80451,87157,80337,87157,
+ 3,87162, 3,87163, 2,87157,79971,87169,79841,87169,79961,87169,
+87167,87169, 3,87157,80337,87178, 2,87156,79967,87183,87179,87183,
+87159,87183,87181,87183,87165,87183, 3,87156,87161,87195,87169,87195,
+77751,86634,87195,87201,87169,87202,87198,87201,87187,87201,87178,87201,
+87183,87211,87169,87201,87195,87214,87157,87201, 3,87218,87183,87221,
+ 3,87219,87169,87225, 3,87201,87157,87228,87183,87231,87157,87229,
+87195,87235,80336,80533,80515,87239,80501,87240,80498,87239,80519,87245,
+80501,87239,80515,87248,80516,87239,80525,87239,80497,87239, 2,87256,
+80519,87259, 2,87257,80501,87263, 2,87239,80497,87267,80515,87269,
+80497,87266,80519,87273,77751,80533,79962,87277, 2,87279,79971,87281,
+ 2,87278,79967,87285,80070,87277, 4,87289,80083,87291, 4,87288,
+80079,87295,79968,87277,79967,87299,80080,87277,80079,87303,80498,87277,
+80519,87307,80298,87277,80319,87311,80497,87277, 2,87314,80519,87317,
+ 2,87315,80501,87321,80293,87277, 4,87324,80319,87327, 4,87325,
+80301,87331,81857,87277,78453,87277,80233,87277,80445,87277, 8453,87277,
+ 273,87277,84484,87277,85230,87277,84531,87277,85277,87277,21522,87277,
+ 1516,87277,38266,87277, 948,87277,20239,87277, 1477,87277,37095,87277,
+ 281,87277,84473,87277, 1011,87370,85215,87277, 903,87374,80242,87277,
+80448,87277,80447,87277, 903,87382,80241,87277, 1011,87386,38057,87277,
+ 903,87390, 165,87277, 903,87394,21315,87277, 1011,87398, 1505,87277,
+ 1011,87402, 1216,87276, 412,87276, 413,87277,87409,87411, 1217,87277,
+87407,87415, 413,87276, 1216,87277, 1217,87276,87421,87423, 412,87277,
+87419,87427,12377,87277, 375,87277,57522,87277,67028,87277,67800,87277,
+ 510,87277, 240,87277, 265,87443,77750,87445,77751,87444,87447,87449,
+77751,87445,77750,87444,87453,87455, 264,87277,84517,87459,85263,87459,
+81749,87459, 341,87459, 264,87276, 375,87469, 241,87277,81464,87472,
+81465,87473,87475,87477,81464,87473,81465,87472,87481,87483, 1011,87277,
+84473,87486,80241,87486, 1505,87486,21315,87486, 903,87277,85215,87496,
+80447,87496, 165,87496,38057,87496, 483,87277,65869,87506, 9,87506,
+ 9,87277,56555,87512, 483,87512,56555,87277, 9,87518,65869,87518,
+65869,87277, 483,87524,56555,87524, 5,87277,84185,87531, 1011,87533,
+ 2,87531,80532,87536, 3,87531,85215,87541, 3,87530,87539,87545,
+85263,87545,84517,87545,81749,87545, 2,87530,87533,87555, 4,87276,
+87531,87559, 2,87561, 3,87561, 2,87560,87565,87567, 3,87560,
+87563,87571, 3,87277,85111,87575, 903,87577,87559,87575, 0,87581,
+ 1,87580,87583,87585, 1,87581, 0,87580,87589,87591, 4,87575,
+80532,87594, 5,87575,84473,87599, 5,87574,87597,87603,84517,87603,
+85263,87603,81749,87603, 4,87574,87577,87613, 2,87276,85663,87617,
+85100,87617, 9,87617,84767,87622,84767,87617, 9,87626,87575,87617,
+ 4,87631, 5,87631, 4,87630,87635,87637, 5,87630,87633,87641,
+ 2,87277,79962,87645,79965,87647,80497,87645,80515,87651,80497,87644,
+80519,87655,79962,87644,79967,87659,87559,87645, 7,87663, 6,87662,
+87665,87667, 6,87663, 7,87662,87671,87673, 4,87645, 1011,87677,
+77751,87679,77750,87678,87681,87683,77750,87679,77751,87678,87687,87689,
+ 4,87644, 265,87693,77750,87695,77751,87694,87697,87699,77751,87695,
+77750,87694,87703,87705, 3,87276, 375,87709,87645,87709, 4,87713,
+ 5,87713, 4,87712,87717,87719, 5,87712,87715,87723, 4,87277,
+80070,87727,80077,87729,80293,87727,80315,87733,80293,87726,80319,87737,
+80070,87726,80079,87741, 2,87727, 903,87745,77751,87747,77750,87746,
+87749,87751,77750,87747,77751,87746,87755,87757, 2,87726, 265,87761,
+77750,87763,77751,87762,87765,87767,77751,87763,77750,87762,87771,87773,
+ 5,87276,87575,87777, 7,87779, 6,87778,87781,87783, 6,87779,
+ 7,87778,87787,87789,87645,87777, 0,87793, 1,87792,87795,87797,
+ 1,87793, 0,87792,87801,87803,87727,87777, 2,87807, 3,87807,
+ 2,87806,87811,87813, 3,87806,87809,87817
+};
+
+const int s_nDataSize2 = 24772;
+unsigned int s_Data2[24772] = {
+ 3, 9, 5, 6, 119, 796, 636, 113, 449, 235, 239, 105,
+ 789, 96, 439, 624, 630, 230, 111, 110, 787, 786, 628, 627,
+ 116, 115, 436, 435, 227, 226, 93, 92, 792, 791, 100, 99,
+ 443, 442, 633, 632, 128, 183, 234, 178, 233, 85, 762, 203,
+ 32, 742, 356, 169, 152, 12, 672, 741, 127, 168, 671, 740,
+ 50, 352, 149, 64, 414, 197, 276, 751, 722, 396, 275, 434,
+ 721, 785, 274, 795, 720, 448, 273, 719, 474, 758, 718, 392,
+ 269, 748, 715, 400, 118, 794, 635, 81, 76, 750, 747, 597,
+ 595, 91, 433, 225, 74, 745, 680, 565, 268, 476, 271, 761,
+ 350, 678, 345, 567, 757, 471, 470, 563, 469, 561, 551, 461,
+ 465, 706, 650, 714, 261, 332, 641, 708, 676, 542, 260, 458,
+ 755, 314, 325, 658, 288, 349, 760, 654, 656, 564, 562, 644,
+ 552, 642, 550, 259, 252, 254, 322, 311, 329, 109, 784, 626,
+ 43, 395, 182, 55, 399, 186, 104, 447, 238, 41, 389, 173,
+ 175, 193, 485, 580, 579, 734, 25, 733, 528, 548, 310, 546,
+ 344, 526, 308, 560, 342, 525, 556, 558, 523, 524, 522, 520,
+ 307, 622, 623, 431, 618, 620, 429, 617, 305, 615, 519, 518,
+ 516, 778, 304, 250, 302, 776, 216, 218, 774, 215, 301, 300,
+ 514, 771, 513, 541, 298, 512, 297, 535, 321, 508, 510, 319,
+ 538, 539, 533, 507, 509, 296, 146, 705, 531, 537, 317, 557,
+ 341, 143, 697, 555, 544, 339, 613, 426, 217, 773, 619, 428,
+ 221, 780, 611, 610, 424, 609, 769, 423, 422, 768, 213, 625,
+ 783, 670, 732, 782, 578, 577, 731, 484, 387, 668, 669, 171,
+ 172, 375, 191, 575, 729, 482, 446, 667, 237, 574, 728, 481,
+ 398, 666, 185, 573, 727, 480, 394, 665, 181, 572, 695, 694,
+ 140, 738, 372, 246, 690, 689, 136, 244, 369, 767, 212, 766,
+ 702, 701, 367, 257, 700, 315, 726, 382, 59, 407, 190, 52,
+ 366, 157, 65, 417, 201, 63, 413, 194, 686, 692, 243, 248,
+ 699, 256, 150, 354, 365, 364, 353, 156, 685, 348, 242, 661,
+ 192, 409, 376, 378, 411, 164, 569, 717, 473, 391, 660, 177,
+ 189, 406, 374, 371, 405, 162, 200, 416, 363, 362, 415, 155,
+ 313, 324, 361, 360, 331, 312, 328, 381, 316, 330, 359, 323,
+ 4596,24359,41366,41344, 4857,37718, 4594,24357, 4846,37706, 4678,26650,
+ 4592,24355, 4844,37704, 4591,24354, 4843,37703, 8816,41900,22056,15422,
+ 7473, 8464,42932, 8814,41898, 6804,20483,12853, 8462,42930, 8809,42808,
+21978,15306, 7385, 8456,42895, 8807,41327,21965,15246,15293, 7372, 8454,
+42893, 3212,20457,36983, 3516, 6187, 6184,20453,29352,10563,10421, 2593,
+20452, 6183, 5637, 2589, 6182, 2645, 2619, 2283,26212,20199, 2269,12513,
+ 2614, 2661,18113, 2288, 4777,35226, 4775, 4774, 4773,42536, 2198,32674,
+32753, 8833, 8780,40027,43084,39938,43445, 8548, 8831,24157,26148,31156,
+29057, 8503, 8771, 8777,24156,26147,36425,33823,40025,43073,43081,39936,
+43443,22500,18803, 8829, 8770,40023,43072,39934,43438, 8546, 8827,24155,
+26146,31154,29044, 8501, 8765,24153,26140,36424,33800,33820,40022,43066,
+39933,43435,22498,18801,43065,40020,43434,39931,18800,22493, 8764, 8499,
+26128,24151,33799,36411, 8826, 8544,26120,24146,29025,31141, 8762, 8824,
+43063,40019,43432,39929, 2287, 2286,21235,26865,13688,26627,13207,20826,
+ 2106, 2073, 4667, 4378, 1966, 4054,13206,20825, 2159, 2168,18699,39853,
+10355,39675, 2167,39852,13205,18520, 2158,39674,20824,20823,42653,42280,
+18519,10116,21390,13926, 2032,42279, 1932,42652, 2166, 2157,42651, 5184,
+42278, 5035, 2070,21389,20822, 4377,13925,13204, 5034, 5183,13924,21388,
+ 5033, 5182,39673,42650,39851,42277, 4221, 5142,18518,21387,18698,20821,
+ 4220, 4982,10115,13923,10354,13203,39850,42276,39672,42649,20820,18697,
+42648,39671,42275,39849,18517,21386, 4376, 5032,13202,10353,13922,10114,
+ 4375, 5181,20819,18696,21385,18516, 4981, 5141,42274,39848,42647,39670,
+ 5031, 5180,42646, 5140,42273, 4980, 4219,21384,20818, 4374,13921,13201,
+ 5135, 5174,39653,42257,39831,42630, 5172, 5133,24141,26112,31138,29023,
+ 5026, 4969, 4975,24140,26111,36408,33796,39651,42249,42254,39829,42628,
+21363,18686, 5139, 5179,39669,42272,39847,42645, 5178, 5138,18515,20817,
+18695,21383, 5030, 4979,10113,13200,10352,13920,39668,42271,39846,42644,
+21382,18694, 5170,24183, 5169,36516, 5168,39992, 5167,22753, 5166,21404,
+ 5165,39867, 5164,21361, 4045,26846, 4044,21215, 5162,39827, 5191,21359,
+ 5190,39825, 5189, 5160, 5159, 4043, 5157, 5024, 1891,42248, 1847,42621,
+ 4193, 4341,18472,20750, 1681,21357,10093,13145,13869, 2660, 7371, 2659,
+ 2658,13144,20749, 1846, 1890,39824,18682,39649,10344, 1872,39823,18507,
+13143, 1889,39648,20748,20747,42620,42247,10107,18506,21356,13868, 1871,
+42246, 1843,42619, 2205,26240,26211, 2200,24249,24232, 2478, 2517,36625,
+34562,31491,29570, 2507, 2558,34076,37229,29433,31635, 8704, 8600,35491,
+38460,30352,32396,28999, 8171, 8335,38314,35364,32268,30297,30134, 8698,
+ 8591,35488,38453,30345,32384,32389, 8166, 8333,38305,35357,32255,30292,
+ 2285, 7325, 1898,14098, 1896, 1895, 1894,39359,24288,41706,41800,20017,
+37217,39357,36575,18022,26236,20013,24246,39355,39925,18013,18779,20001,
+22482,39395,20196,39397,20208,40017,39923,20064,42324,12370,42658,19065,
+18776,41387,41382, 9904,21392,10687,10412,41365,41360,18055,18053,39685,
+20893,39857,18775,43056,43431,42334,18524,42660,22479,40016,39922,14502,
+15946,39376,39374,20062,20060,21649,22478,39380,39378,12368,18702,43055,
+43430,18057,39680, 9906,39855,39991,21351,22752,39816,39990,39815,22751,
+21350,39639,39814,33754,42230,28989,42602,18468,18677,24118,26056,31087,
+28988,10090,10312,10318,24117,26055,36340,33753,39637,20700,20705,39812,
+18675,42228,42600,42219,42225,18464,42598,21348,39635,39810,13101,13106,
+13844,26054,24116,33752,36339,20699,21346,26053,24115,28987,31086,42218,
+42595,36338,39633,31085,39808,39667,39845,39666,39844,39665,39843,18693,
+18692,10351,10350,18514,39842,13199,13198,10112,39664,20816,20815,10111,
+18513,42270,42643,13919,21381,13918,42269,21380,42642,39806,21403,21344,
+39866,39805,39865,21343,21402,39804,21342,21175,26830,39802,21173,26826,
+21340,39346,24061,39338,32626,39333, 9843,39332,39331, 9814,39328,15936,
+39183,11746,19744,25614,39182,39181,39180,19836,42268,11903,42641,17932,
+17931,40961,40960, 9771,21379, 9770, 9769,40959,40958,17930,17929,39663,
+20814,39841,17928,40957,40956,42267,18512,42640,19835,39179,39178,11902,
+11901,39177,39176,19834,19833,19832,19831,39175,39174,11900,18691,40955,
+40954,17927,39662, 9768,39840,39173,19830,11899,17926,40953,13197, 9767,
+40952,20813, 9766,17925,40951,11898,19829,39172,11897,42266,19828,19827,
+42639,11896,40950,21378,13917,39171,39170,39169,39168,14088, 3310, 3309,
+35263, 2276,26305, 5245, 6267, 5248, 5445,10636,10624, 5401, 7751, 5390,
+ 5674, 2548, 5410, 3350, 3931, 3971, 3960, 6123,28071,22800, 8025,27598,
+16338, 7478,22061,15427, 3847, 3840, 3822, 5835,26825,21172, 7148,26571,
+13617, 6808,20693,13100, 3469, 3729, 3618, 6021,27993,22666, 7965,27534,
+16152,16158, 7368,21963,15285,15291, 3513, 3757, 3655, 6026,28010,22688,
+ 7970,27539,16193, 7376,21969,15297, 3722, 3611,27986,22657,22659,16147,
+ 3608, 3610,25575,25569,25573,25568, 2720, 2722,23945,23941,23943,23940,
+ 3606,26233,26200, 2718,24244,24224, 3603,22654,16143, 2716,22466,15931,
+ 8720, 2547, 2499, 2498,35234, 8719,35524, 7050,35233, 6181,20028, 5622,
+20027, 5610, 7023,23939,24648,23938,24484, 5952, 7920,22462,25567,27390,
+15928,25566,27757, 5620, 7027,36388,33781,31116,29009, 5970, 7936,33795,
+36407,29022,31137, 5612, 7025,24121,24653,24129,24494, 5960, 7922,26081,
+27412,26074,27796, 5601, 7014, 6501, 5946,27753,22458, 7917,27387,15926,
+ 4317, 7284,21850,15156, 5825, 5940, 5824, 5794, 7123, 6732, 6038,28015,
+22709, 7982,27551,16225, 7395,21983,15311, 8718, 5673, 7049, 8717,35523,
+23937,21560,14272,15352,40871,22739,16272,23936,22733,16263,14776,40870,
+21558,14265,23935,21474,14087,15148,40869,22445,15906,23934,41714,40868,
+34075,23933,34079,40867,41730,23932,41537,31827,37396,23931,41448, 4494,
+23930,41503,23929,26451,38349,32305,23928,24323,23927,40866,31785,37351,
+23925,40858, 4472,23924,40862,23923,40853,38197,23920,23919,38475,23914,
+23913,38152,23908,40840,28843,38481,23905,23904,23903,23902,23901,23900,
+23899,23898,23897,23896,40839,40838,23895,23894,40837,40836,23893,40835,
+23892,23891,40834,40833,23890,40832,23889,23888,40831,40830,23887,40829,
+23886,23885,40828,40827,23884,23882,40823,40826,40822,23879,23878,40819,
+40818,23877,23876,23922,23875,23874,32490,32499,23873,23872,32793,23871,
+17197,23870,23869,29043,33819,24320,40817,29655,38507,24317,24309,28839,
+33590,23867,23868,23865,40816,25558,25555,23866,40815,23860,23864,21472,
+14085,40814,22439,15900,25548,23863,40812,23859,23856,40811,40805,40808,
+23858,33581,33583,23854,23881,33580,33592,23853,23852,19635,33579,40804,
+23848,23844,33560,33558,35258,40795,23843,33557,33556,35255,25392,23842,
+33555,33554,23841,24131,24133,23789,17857,23787,18134,25390,26230,23785,
+25387,26229,26199,23783,23782,23781,23780,23779,23778,24120,24128,23777,
+17845,23775,27731,25366,18759,23762,23761,23760,23759,23758,23757,23851,
+23847,40801,40803,23850,33457,33578,35260,23849,33572,23756,33456,23755,
+25328,18750,10402,24219,24218,24217,24239,41600,41620,24216,24215,24238,
+29171,33958,24221,24241,24214,24237,24213,24236,24223,24243,24231,24248,
+24235,24212,41619,41599,24580,24740,24486,24650,24479,24643,24493,24652,
+24536,24696,24535,24695,24534,24694,24533,24693,24640,40701,30096,38438,
+24638,24477,35149,24692,24532,24054,24053,24052,24051,24050,23803,17878,
+23801,25476,23799,23798,23797,33549, 3281, 2981,35267, 2427, 2429, 2425,
+ 2424, 2495, 7047, 7649, 2423,21521,14156, 2422,35247,23754,40705,23741,
+40684,40700,23725, 4338,40674,23724,40673, 7842, 7748, 7750, 7746, 7745,
+ 7744, 7761, 7758, 7769, 7651, 7653, 7648, 7647, 7646, 7645,21520,14155,
+ 6300,21670,14601, 7644,35246, 8354,35392, 7811, 7809, 7813,37284,31745,
+ 7771,36483,31210, 7788, 7802,36473,31194, 4186, 4465, 4184,13064, 4181,
+ 4180, 4236, 4246,23721,39799,39630,23720,18459,23719,10083,18671,39628,
+33435,13819,10309,39797,28701,21329,36039,30815,42588,42206,25299,25298,
+13062,42586,20667,20672,42197,42203,23718,21332,13824,33434,42590,28700,
+42208,30814,36038,25297,20676,13069,39022,22404,15866,17830,43413,13837,
+ 9689,43025,21338, 9687,17828,40683,11384,19518,39000,11387,42593,21639,
+19521,42214,14460,40699,20689,13087,24049,24531,24691, 4190,23717,22449,
+15912,25296,20692,13099,23753,22427,15895,25337,20666,13060,23716,22403,
+15865,25288,20665,13059,13584, 4199, 4197,23711,19508,11363,25282,20745,
+13140, 9063, 9396, 9184, 9168, 9338,38785,32799, 9254,23359,17393, 9336,
+38782,32791, 9247,23353,17357, 9344,38793,32809, 9282,23387,17431, 9456,
+38858,32878, 9094,23244,17141,23710,21540,14212,15278,40657,22649,16130,
+ 2758,21538,14208, 3347, 5771, 1853, 5082, 1788, 4966,42481,42234, 1708,
+26963,42233,26591,42480, 1852, 3346, 3345,42479,37847, 1851,37846, 1835,
+13635,42478,42232,37845,26590, 1785,10346, 1834,35043, 1833,37844,13634,
+ 6891,27206, 6890,42477, 6889,37843, 5951, 5949,22464,27759, 5930, 5929,
+22774,28067, 5928, 5927,20495,26455, 5926, 5925,26249,26192, 5924,26307,
+ 5934, 5932,27724,22402, 5923, 6119, 5922, 7262,27717, 5920, 6917, 6277,
+ 5918, 5917, 5916, 5915, 5914, 5954, 6118, 6927,27234, 6888,42759,27205,
+29027,43024,42739, 8746,29048, 8768,43069, 6886, 6887,27204,42738,28699,
+43023, 8745, 8742,43021, 8741,43020, 8740,43019, 8784,43196, 8739,43018,
+ 8767,43068, 8523, 8744, 4957,42196, 5672,42195, 4956,42194,24230,42193,
+33939,33938,24127,42192,33769,35199,24492,42191,35198,33768,24688,20662,
+24528,20661,24048,41181, 4990, 4842,42304,37700, 5671, 5670,42303,37699,
+ 2546, 2545,37881,42519, 5669, 5668,37880,42518, 2544, 5667, 5666, 4137,
+ 5106, 5104, 5072, 5070, 5074, 5076, 5068, 5067, 5066, 5065, 5064, 5063,
+ 5100, 5096, 5095, 5094, 5084, 5062, 4634, 5061,42190,28698,42457,26562,
+ 4635, 5091,42302,26982,42517,26626, 4666, 5090,37879, 4989,13687,42301,
+42516,37878,26981, 4665,10365, 4136,35060, 5089,42515, 4988,26625,42300,
+42514,26624,26980, 4664,42299, 4135,26979, 5088, 4134, 4987, 4663,42298,
+42513, 2163,37877,13686, 2162,42512, 2150,26623,37876,10364,35059,13685,
+ 2161,42297, 2142,37875, 2140,42511, 2149,42296, 5087, 4986, 1917,26978,
+42295,26622,42510, 2148, 4848, 4862, 4827, 4826, 4841,37698, 4882,13463,
+42509,42294,37697,26621, 4840,10189, 4881,34876, 4839,37696, 4880,13462,
+37874,13684, 5086,37695, 4985,13461,42293,42508,37694,26977, 4838,10188,
+ 4879,34875,23729,34834,40698,40656,23709,34880,40655,41381,24211,34827,
+41560,41559, 4874,34826, 4876,34861, 4892,34905, 4878,37693,13460, 4898,
+37778,13508, 8353,35391, 8390,35436, 8581, 8534, 8602,38462, 8683,38525,
+15448, 8641,38478, 8579,15277,38435,15138,33431,16652,33730,33429,34560,
+29423,29381,40645,41866,33391,26227,33910,40643,18131,33513,11326,11531,
+33511,28664,40769,33510,40787,33508,28642,40785,33751,18774,41232,27772,
+33679,28943,12118,40634,40633,33677,28941,40629,40632,40628,33675,28936,
+41598,41618,33605,33597,33360,33359,33358,33357,33787,39161,39321,39320,
+36288,34527,26330,41849,18165,34522,26325,33349,34055,41845,18161,34536,
+39160,38969,23693,41793,39327,39626,32091,42030,33307,32090, 4703,33453,
+28723,25230,25229,33306,28623,26436,26446,33608,33305,40807,35522,19640,
+33304,40825,35232,19645,33303,34053,33301,34044,34048,33298,41691,33296,
+41683,41686,33295,33536,33540,33535,33292,33287,33282,33286,33935,33933,
+33279,40631,33711,41180,33709,41173,35230,19918,33708,41172,35520,19917,
+33707,41171,33577,28797,33278,28611,33892,29148,33886,29144,33277,28610,
+33276,28609,33275,28608,33274,28607,33291,28620,33273,28606,43071,33822,
+43437,35917,33272,28605,36118,33548,30917,35916,33484,35981,35979,30906,
+28760,30775,33546,36116,33383,36083,28645,33367,28749,33482,33271,35915,
+36081,30729,33270,28604,39412,30728,39470,35914,33309,33311,39410,39456,
+18196,25216,28625,35913,39468,39505,20324,25215,30734,41748,35944,41830,
+23695,23697,28638,39458,33331,39507,25232,25234,30736,33269,41797,41832,
+18192,23675,35964,35966,41701,41752,20319,23674,35912,30727,41697,28603,
+41792,33268,33267,28602,36620,34558,31487,35911,33425,33427,36622,28601,
+37113,31476,28689,35910,31489,33266,34471,37010,34556,30813,36021,36023,
+29384,34420,37214,28675,33409,33411,31478,37012,30791,33265,29426,35909,
+37115,34422,36005,36007,34066,30726,34473,29386,35908,30725,34068,37210,
+29428,33264,39067,39069,23701,30724,23703,35907,23673,39065,33386,25214,
+23672,39063,28670,25213,36000,30777,40776,40768,25250,25252,33263,40764,
+28600,40762,33262,28599,43013,30723,43400,35906,23671,21636,22383,25212,
+14454,15824,15837,33740,28975,43052,33261,43429,36320,33739,28974,43051,
+31074,43428,36319,24075,31084,21648,28986,22477,26012,36329,14493,33749,
+15945,43398,43011,22377,15823,14439,21634,26052,24114,33366,33365,28644,
+33480,28747,36111,33529,30902,36079,33473,33260,33259,33972,33258,33553,
+33285,28618,41597,41617,33284,33970,33294,33539,33528,28778,11448,40591,
+40590,33526,33525,33524,33523,39058,39057,23835,30901,23815,36110,33479,
+25517,28746,25494,40753,40752,33538,28787,40610,40608,33522,33780,40589,
+42861,23670,33778,35362,33256,35344,33254,33463,34043,29414,41685,41783,
+34041,29411,26400,26365,34040,41682,34039,34052,29420,34038,29410,34037,
+29409,34065,34064,29425,34036,29408,39406,31565,39466,37204,34456,39450,
+18188,26395,37101,39499,20313,26360,41742,41824,24283,24274,29519,34552,
+31485,41780,36616,41681,34035,29407,36615,34551,31484,37203,34455,29376,
+37100,31472,34411,37003,34047,29418,41695,41790,34046,34050,34034,34073,
+34032,33930,33941,29158,33932,29155,33929,29153,33798,41083,18043,35223,
+35283,35285,35154,35225,35169,30109,40588,40587,35146,30088,22376,15822,
+35144,30086,22374,15820,35142,30084,22372,15818,39529,39623,35148,35209,
+39159,35167,39318,35262,30208,40586,40585,35254,30204,41614,41595,35257,
+30206,40794,40799,35162,40709,18758,34825,35269,35266,10793,10619,35245,
+10783,10561,35251,35243,35242,33724,33728,33722,33721,33968,34685,29738,
+40704,40703,34727,29780,41380,41359,34710,29763,20739,40561,13138,40560,
+34684,29737,20657,40559,13052,40558,33851,27196, 9902,42736,26993,36435,
+42547,42321,12366,27711,36437,43010,33439,42468, 9680,42735, 9685,36043,
+11382,33445,11374,42216,36041,43009,33849,37911, 9900,42734,35066,36431,
+37907,33847,12364,27710,36433,43008,35081,12602,37746,35083,35007,31772,
+37338,35022,35015,35047,35005,35004,35003,35002,35001,35000,10302,35071,
+10368,35013,35012,35011,34999,10301,13577,37817,34998,42180,10300,28558,
+17770,37820,19393,34996,13579,42450,37818,26546,35045,35058,42292,10363,
+26976,10362,37873,13683,35057,13682,42507,37872,26620,35056,37692,10361,
+13459,34874,37871,37691,35055,13681,10187,37870,34873,35054,37869,10360,
+13680,35053,37868,33660,25733, 9805,40999,26975,36216,42506,42291,11876,
+25732,36215,40998,33659,42505, 9804,40997, 9803,36214,11875,33658,11874,
+42290,36213,40996,33657,37867, 9802,40995,35052,36212,37866,33656,11873,
+25731,36211,40994,33655,37690, 9801,40993,34872,36210,37689,33654,11872,
+25730,36209,40992,33496,34824,18484,18433,34860,34891,18526,34871,42289,
+10186,26974,10185,37688,13458,34870,13457,42504,37687,26619,34869,37686,
+10184,13456,34868,37685,34922,37771,10204,13501,34915,37764,35355,41246,
+40557,24074,35361,40556,41290,23645,35390,35394,35388,35387,35423,35431,
+35421,35420,35419,34424,34430,29390,34410,29375,34409,29374,34408,29373,
+43003,34454,43397,37099,34419,34418,29383,34554,25244,41863,17813,34550,
+27709, 2281,26243,26215, 2280, 2279,26242,26806,26214,26542,23643,17768,
+ 9617,19682,25590, 9615,11631,25602,17766,11650,19701,23641,24043,17975,
+ 9857,19915,25886, 9855,12116,25884,17973,12114,19913,24041,24525,18827,
+24685,10438,18963,10587,18825,10436,24523,10585,24683,18961, 2443, 2442,
+18824,26805,10435,26541, 2441,21154,13576, 9256,38787,32802, 9246,38781,
+32790, 9253,38784,32798, 6490, 6682,39661,39839, 6676, 6675, 6674, 6673,
+ 6672,39158, 6697,23640, 6775, 6783,36532,31231, 6580, 6579,18960,26804,
+10584,26540, 6578,21153,13575, 6857,38536,32501, 6867,38538,32503, 6855,
+38534,32498, 6822,20490,12860, 7477,22060,15426, 6814,20485,12855, 7472,
+22055,15421, 8988,38813,32831, 8677,38488, 8239,38346, 6280,21655, 6279,
+21654, 6320,23639,23638,23637,23636,40555,23635, 6274, 6315,38953, 8751,
+ 8823, 6245,23632,23631,14039,20651,37335,31769,15808,34822,24166,24163,
+37375,31808,23727,25314,39344,39342,23630,14031,25171,15799, 6241,42999,
+ 8753,42998, 6240,42997, 6239,42996, 6238, 7605, 7603,21633,24145,14431,
+24150,23743,21632,14430, 7577, 7576,21645,23768,14481,23764, 6237, 6236,
+21631,42614,14429,42241, 6235,21630,14428,24073,24072,24071,24070,41264,
+24069,24066,24065,37331,31766,24064,26009,24063,21647,14491, 8775,43079,
+ 8774,43078, 8737,42995, 7643,21669,14595,23622,21711,14828, 7827, 7826,
+21710,23621,14827,23620, 7824,21709,14826, 6347, 6349, 6351,38519,32485,
+ 6362,38530,32492, 6364,38532,32494, 6358,38528,32489,18365,24583,18606,
+18598,18597,18596,42444,37811,24657,24497,24634,24469,35138,24040,24039,
+24522,24682,24681,24521,24578,24738,39405,39465,41680,20283,41779,18147,
+18187,41741,20312,39449,41823,39498,24520,24680,24679,24519,24038,24037,
+39157,39156,40949,19826,40948,17924,23619,23846,24202,35241,41126,33720,
+25977,35386,41125,33719,25976,33718,41124,24482,24646,23834,23814,19058,
+10678,43037,36075,43422,30854,19057,10677,42994,35892,43396,30674,15796,
+22352,24144,24149,23613,23612,19134,10762,42990,37248,43394,31694,18444,
+10075,18466,10092,18432,10073,18431,10072,18552,10124,18550,10122,23611,
+23610,24036,24035,24518,24678,24677,24517,18454,10080,23609,23608,22370,
+22368,15817,18448,25149,25148,18744,18741,10391,20660,23752,23751,22426,
+22425,15894,18430,25336,25335,18757,18756,10405,20648,24161,24159,22349,
+22348,15794,18522,26155,26150,18733,18732,10388,20880,35161,40708,34821,
+25334,18505,10106,18494,10104,23607,23606,19397,19395,11212,18488,25147,
+25146,17776,17773, 9620,20742,18381,38855,18383,23136,18385,38407,17765,
+38850,17764,23121,17763,38405,17762,43195,17839,43034,17985,42989,17984,
+42731,28965,42744,31065,17998,28977,19979,31082,42988,19997,43054,18379,
+37275,17761,42173,28551,26945,42439,42170,28550,26539,30673,42436,42437,
+19380,26536,26537,17760,42307,28549,30672,19379,42537,17759,42176,28548,
+26948,37814,17758,34994,19378,30671,42446,19377,37812,17757,42746,28547,
+30670,19376,43059,18265,10019,18264,10018,42987,20311,43393,18186,18921,
+18906,18919,18915,18807,18731,38831,18730,23104,18729,38403,18869,18878,
+18890,18823, 1666, 1701, 1613,22346,27707, 5904,15787,15792,27365, 7899,
+15124,15129,21836, 7255, 1669, 1704, 1616,22339,27700, 5897,15785,27358,
+ 7892,15122,21829, 7248, 1664, 1699, 1611,22772,28065, 6116,16309,27593,
+ 8020,15404,22040, 7459, 1663, 1698, 1610,21183,26835, 5820,13632,26587,
+ 7143,13137,20738, 6799, 1829, 1839,37855,42487, 1838, 1828,42486,37854,
+ 2028, 2063, 1963,40545,40543, 2030, 2065, 1965, 2026, 2061, 1961, 2025,
+ 2060, 1960, 2154, 2146,37897,42535, 2153, 2145,37896,42534, 1827, 1837,
+37853,42485, 1662, 1697,21182,26834, 1622, 4117, 7502, 7272, 7274,27373,
+27378,27730,27742,17756,17854, 7245,27355,27697,18094, 7287,27392,27763,
+ 6313, 7244,27354,27696, 6266, 7243,27353,27695, 6311, 7242,28038,27694,
+ 7421, 7241,27352,27693, 6335, 7267, 7266, 7265, 7494,23605,23604,25145,
+25144,23603,25143, 7324, 7323, 7322, 7321, 7320,20812,13196, 7319, 7318,
+21377,13916, 7317, 4373, 7238,26225,26196, 8973,23120,16979, 8991,23130,
+16996, 7361, 7359,33574,27527,28795,27980,30929,36127,23669,25203,23595,
+25135,23750,25342, 8946,23103,16963,18369,38399,17755,38397,18727,38395,
+39660, 8200,39838, 8199, 8198, 8197, 8196,39155, 8195, 8452,38335,42884,
+ 8140, 8431,38284,42842, 8238, 8459,38345,42916,17754,17853,18767,18068,
+ 4795, 4925,37367,42056, 4484, 4737,42533,37895, 4794, 4924,37366,42055,
+ 4483, 4736,37894,42532, 5148, 4829,39792,26808, 5188, 4825,39864,26903,
+39989,27146, 4804,37381, 4788,37328, 4856,37595, 4824,37717, 5146, 4855,
+39788,26801, 6299,27264,27094, 4457, 7316, 4456,27091,27262, 6297, 4299,
+ 4454,27752,27386, 7280, 4453,27978,27525, 7357, 4452,28047,27577, 7432,
+ 4451,27140,27285, 6329, 4450,27692,27351, 7237,13569, 4475,27089,27259,
+ 6295, 6696,21031,13404,34709,29762, 4560,34755,29808, 4581,34683,29736,
+ 4540,33871,35166,33467,24062,23862,25554,23594,25134,23714,23713,25286,
+ 4462, 4464, 4447, 4446, 4445, 4444, 4443, 4442, 4441, 4490, 4488, 4440,
+ 4439,34673,29726, 4521,33234, 4460, 4438, 4471, 4714, 4116, 4473, 4716,
+ 4119, 4497, 4755, 4167, 4493, 4495, 4753, 4165, 4466, 4711, 4111, 6367,
+21723,14912, 6860,21744,15033, 9259,23362,17407,23593, 6328,21692,14780,
+ 6339,21695,14794, 6324,21690,14774, 4486, 4739, 4149, 4482, 4735, 4147,
+14023, 4480, 4733, 4145, 4479, 4732, 4144, 4793, 4923,37365,42054, 4807,
+37432, 4864,37753, 4806, 4936,37431,42088, 7907,23592,42849,23591,42851,
+23590,42847, 8458,42915, 4918, 4916, 4911, 4910, 4909, 4933, 4932, 4931,
+ 4908, 4907, 4914,33979,42019,18138,33978,33765,42018,18021,35195,35194,
+42017,18787,33764, 4922, 4792,42053,37364, 4747,26177, 4701,26259, 4705,
+ 4704, 4700, 4699, 4698, 4724, 4726, 4741, 4152, 4707, 4109, 4697, 4101,
+ 4696, 4100, 4695, 4099, 4694, 4098, 4693, 4097, 4745, 4156, 4749, 4162,
+ 4751,25133,24475,35152,24229,33977,24126,33763,24491,35193,34428,29388,
+37024,34477,31481,37194,37023,31480,42016,37193,42435,34476,18270,10027,
+26730,20331,26939,18213,20344,12777,42015,18212,42434,20330,18798,10416,
+26729,20025,26938,18796,21497,14105,42014,18038,42433,21501,18025, 9892,
+26728,21500,26937,18037,20021,12308,42013,18795,42432,20024, 4927,42065,
+ 4906,42012, 4935,42087, 4159, 4161, 4096, 4095, 5108,35087, 5099,35070,
+ 5057,34992, 4094, 5661, 4092, 5336,14586,14141,11159,11144, 4091, 5658,
+ 4090, 5522,14874,14302,14990,14331, 5862, 8892,17350,17552, 4089, 4088,
+ 4087, 5339, 4103, 5225,14403,14016, 5549,35329,26162,10521,41333,26658,
+38425,42315,42540,15112,26160,38424,41335,33653,25729, 9800,40991,26618,
+36208,42288,42503,11871,25728,36207,40990, 4791, 4921,37363,42052, 4478,
+ 4731,21062,26749, 4143, 4142,37893,42531, 4053, 4052,21234,26864, 4790,
+ 4920,37362,42051, 4477, 4730,21061,26748, 2152, 2144,37892,42530, 2059,
+ 2024,21233,26863, 4141, 4051, 1959, 4140,35970,21026,19466,37325,19470,
+37594,35973,20647,36795,37324,20288,21025,20446,20646,37216,37593,36757,
+37592,20286,20645,20426,21024,37208,37323,36392,41275,36391,41274,36390,
+41273,36562,26297,36140,27688,36146,27687,37256,36530,36566,21023,20236,
+37322,20194,37591,36542,20644,36570,37273,38249,36136,30938,42243,33227,
+42616,33585,35886,30656,42245,33587,42618,33226,35885,30655,43077,28533,
+43442,33225,36062,30839,43032,28725,43420,33455,35884,30654,42323,28532,
+42657,33224,35963,40621,35883,30653,28530,41592,37231,31646,37228,31634,
+37227,31633,37226,31632,37225,31631,36387,31115,36386,31114,36385,31113,
+36384,31112,36134,40810,36142,40821,36071,40723,42984,38423,38141,32157,
+38140,32156,38139,32155,38149,27088,38109,42750,38108,42749,38107,42748,
+38187,27117,38186,27116,38100,42743,38088,27686,38247,38185,27115,38191,
+27124,38214,27132,38159,27072,38158,32171,38157,32170,38156,32169,38228,
+27110,38222,32183,38091,32101,38138,27063,36315,41193,31056,36314,41192,
+31055,36313,41191,31054,36317,41195,31058,36312,31053,36311,31052,36310,
+31051,36488,36486,36503,36501,37279,38775,37277,23368,37238,21750,37281,
+21729,38738,38749,38748,38747,38746,38867,37264,27685,37262,31730,42983,
+29628,43392,34603,37271,21705,37267,27297,37266,21703,37261,21701,36206,
+40989,40988,36205,36204,40987,11870,25727,37684,13455,36203,40986,11869,
+25726,37865,13677,36202,40985,11868,36078,42982,36077,40791,11447,37590,
+37321,37589,37320,37588,37319,37587,37318,37601,37727,37586,37585,38474,
+27258,38427,42992,38441,43041,42981,38422,38491,38421,40661,15111,25290,
+37828,13590,37018,41853,37017,41852,37016,41851,37014,41847,37022,41855,
+36427,41329,37904,42542,20055,26153,42839,38280,36037,40659,42464,37830,
+19498,25285,42838,38279,36429,41331,27347,21820,20057,26158,42837,38278,
+37832,42467,37810,42431,37809,42430,37825,31965,37834,31981,37808,31952,
+37807,31951,37806,31950,37805,31949,37804,31948,37917,37915,37803,37802,
+37901,37900,37801,42429,37800,42428,37799,42427,37910,42544,37909,32040,
+37903,32034,37891,42529,37361,42050,21232,26862,21060,26747,37890,42528,
+42049,37360,21231,26861,26746,21059,37889,42527,21230,26860,37888,42526,
+21229,26859,36250,41019,31021,36249,41018,31020,36248,41017,31019,40536,
+36252,41021,31023,36246,41015,37359,42048,19815,25716,41014,36245,36244,
+41013,42047,37358,19814,25715,41012,36243,36242,41011,37887,42525,19813,
+25714,41010,36241,36240,41009,42524,37886,19812,25713,41008,36239,36238,
+41007,25712,19811,19810,25711,41006,36237,38303,27404,38277,32219,32089,
+31946,38295,32233,38293,32229,38301,32251,38313,32267,38312,32266,38311,
+32265,38310,32264,38316,32270,38322,27497,38321,32275,38320,32274,38319,
+32273,38348,32304,37330,37597,39790,37599,37315,37576,39863,37575,39988,
+37574,37314,37380,21016,21068,20643,20887,37573,37716,37379,37715,39787,
+37714,37313,37312,37393,37311,31761,37371,31804,37429,31832,37334,37333,
+31768,37340,31774,37317,31763,37373,31806,37310,31760,37309,31759,37308,
+31758,37307,31757,37306,31756,37305,31755,37342,31782,37304,31754,37395,
+31826,37357,42046,21058,26745,37356,42045,21057,26744,37384,21073,20905,
+37725,37383,42080,21072,26757,36539,31236,42240,33909,42613,33908,36552,
+36554,41277,27230,41843,41861,41231,32116,41230,41229,41228,40619,41868,
+26318,41870,26320,40616,41138,41136,41859,41151,41140,40535,21494,14101,
+23589,22490,15957,40534,22327,15761,11105,12188,25952,21433,14012,41188,
+42876,41187,42788,41186,41198,41197,41185,41184,41183,41190,22326,15760,
+25107,21432,14011,40532,21476,14091,25705,22469,15935,40531,22471,15939,
+25961,21478,14093,40530,40528,40529,40526,40524,40522,40521,40546,40520,
+40525,40519,40517,40518,40515,40513,40511,40510,40516,40509,40544,40508,
+40527,40507,41533,40506,41451,40505,41499,40504,26449,40503,25565,42936,
+22325,41892,27294,40502,40500,40501,40498,40497,22354,40496,27209,40495,
+40494,40493,40492,40491,40490,40489,40488,40487,40486,40485,40484,40483,
+40482,40481,40480,40479,40478,40477,40476,40475,40474,40473,40472,40471,
+40470,40844,40873,40842,40469,40468,40467,40731,40727,40726,41525,41516,
+41491,41482,41440,41413,41439,41412,41515,41524,41481,41490,43735,22324,
+15759,16624,28157,21431,14010,43733,32591,21430,14009,28150,22323,15758,
+43855,22322,43755,43758,43761,43764,43754,43757,43760,43763,43720,43719,
+43718,43717,43716,43715,40425,40428,21429,14008,23586,22321,15757,40421,
+40427,40420,40539,21428,14007,25691,22320,15756,40538,40419,41106,41105,
+41104,41103,41102,41101,41100,41099,41098,41097,41096,41095,41094,41093,
+41092,41091,41624,41622,41170,41169,41155,41150,41149,25938,40466,41386,
+41364,41377,41358,41385,41363,41376,41357,41362,41384,41356,41375,40682,
+40681,40697,40696,40680,40695,42655,42309,42637,42264,42636,42263,42635,
+42262,42612,42239,41840,41839,40760,40781,40751,40750,40749,40748,40747,
+40746,40745,40744,40743,19610,11499,40767,40742,19609,11498,40922,40921,
+40920,40919,19824,11893,40806,19637,40824,19642,43451,43494,43383,43382,
+43381,43426,43425,43403,43406,43493,42869,43492,41082,43497,25564,43543,
+26448,43380,27232,43418,27208,41130,41128,41123,41122,41121,19910,41120,
+19909,41119,21668,14585,25832,19949,12173,41118,21519,14140,25831,19948,
+12172,40717,21471,14084,25676,22424,15893,40716,21470,14083,23749,22423,
+15892,40715,21469,14082,25333,20638,13037,40714,40713,21468,21467,14081,
+18429,25332,25331,18755,18754,10404,20637,43096,43094,43089,43552,43379,
+43378,43391,43377,43405,43402,43376,43412,43411,43410,43050,27771,43049,
+27770,43154,43150,43147,43146,42787,42875,42786,42791,42879,42790,42878,
+42785,42874,42784,42873,42783,42872,42797,42800,42887,42799,42886,42804,
+42889,42806,42891,42796,42883,42795,42882,42794,42881,42756,42863,42773,
+42771,42766,42151,26932,42150,26931,42149,42148,42147,43496,43152,43542,
+43214,43417,43030,42146,42578,43375,42972,42145,26304,42144, 8714,42143,
+ 4292,42142,41168,42213,26958,42212,26957,42211,42592,19520,28500,11386,
+33192,42172,26944,42175,26947,41865,40982,40981,36199,25725,40980,33652,
+36198,41589,38420,41594,26258,28531,41575,30651,28499,28529,30616,41573,
+28498,26256,41591,41588,26253,29448,41570,31341,29251,41587,37002,26222,
+41569,34280,36861,41579,41583,42426,42003,42441,42021,42422,42001,42421,
+42000,42420,41999,42419,41998,42418,41997,42549,42554,42417,42416,42415,
+42414,42413,42461,42460,42466,42035,42463,42033,42157,42424,42141,42412,
+40979,40978,25668,42855,26110,42918,25092,42853,42871,42934,22317,42082,
+25091,41996,26252,41995,41994,42037,43149,43093,42770,43091,42768,42068,
+26182,43088,42765,42067,41993,41992,41991,41990,41989,41988,41090,42493,
+42031,42411,42455,41986,42410,42058,35228,41985,33976,41984,33762,41983,
+35192,41982,42064,26720,26751,42079,26756,41556,41555,41554,41553,41552,
+41551,41550,41549,41548,41547,28954,36303,29445,28595,30719,28949,31037,
+31036,28948,29138,29146,42040,18503,28890,11603,42085,18546,29136,12591,
+28992,34983,33191,33607,28497,28496,28495,30615,28494,30614,28598,30722,
+28597,30721,28493,40722,28492,43040,28938,33362,33190,28940,28933,33521,
+28882,33189,28885,28491,33576,28490,28489,34058,28488,43036,30613,28487,
+33738,43048,30612,28486,33188,33589,30951,30611,36138,35850,37007,33187,
+34415,37109,35849,34465,37206,33186,33354,35968,35848,34061,36115,33185,
+33364,35978,35847,33545,36598,33184,33281,35919,35846,33986,37009,33183,
+34417,37112,35845,34470,37005,33182,34413,37103,35844,34460,36002,33181,
+33988,36600,35843,33389,36004,33180,34063,37213,35842,33408,35921,33179,
+33533,36113,35841,33289,29190,34982,29185,31274,29184,33907,37001,33984,
+34407,37098,36596,34453,37212,33407,18346,19496,28643,33544,28617,28614,
+28485,28484,28483,28673,28481,28479,29406,31544,29413,33178,34458,29378,
+33352,37000,34029,34406,37097,37202,34452,29424,33406,34469,29382,29417,
+29281,29422,29317,29405,29250,28838,28836,37849,42483,28814,30940,28478,
+28477,37842,42476,28476,30606,28475,28474,38452,43058,28473,30605,28472,
+28471,42453,37823,28739,28734,38419,42971,29679,43208,29678,43207,31729,
+29627,33177,43206,31728,29626,29677,29650,43205,38505,28776,28775,42970,
+36999,33520,34405,37096,36109,34451,35977,33543,17815,19590,28786,28783,
+28774,28772,28771,30898,28770,28769,42474,37840,29623,12817,34588,34600,
+31712,31658,37250,37234,37236,37269,29630,29589,34609,34590,33919,33906,
+33913,33905,42969,31273,29183,33904,31235,36538,33925,31246,36556,36588,
+29160,33943,37105,34462,18195,20323,37111,34468,18199,20327,37192,34475,
+34981,37798,37021,34427,37199,34486,34447,37041,37036,34442,37198,34485,
+34446,37040,37035,34441,37197,34484,34445,37039,37034,34440,37196,34483,
+34444,37038,37033,34439,29372,42968,31543,29404,33981,31196,30367,30203,
+30366,41981,18427,30356,14108,42029,18442,30336,14049,43491,18868,41980,
+32456,32455,30380,30282,32249,32248,37303,10546,37572,14501,20624,30273,
+35009,30290,34980,30280,30107,30279,30106,42967,38418,34593,34595,19025,
+34597,19027,34592,19023,35427,30962,17897,28470,17732,38480,19333,35429,
+19649,30604,38482,28844,35458,30603,17731,29656,18373,38508,20466,35444,
+19332,31721,38493,28469,35460,31660,18367,29663,18375,38516,20472,35448,
+20459,31725,38495,29587,28963,35440,31716,18371,30078,18726,38490,21427,
+35454,20463,32088,38502,29646,29661,38512,29659,38510,34979,37797,17730,
+19331,34977,37793,37795,35338,30602,17729,30097,18746,38439,21463,35336,
+19330,32099,38437,28468,29180,29178,35416,31261,18112,29162,38477,20192,
+35434,31268,18127,29166,38486,20217,35328,31264,18119,29164,38417,20198,
+35327,31092,18019,30124,18785,38416,21482,35326,20004,32123,38415,28995,
+34436,37030,18144,20280,34399,36995,29581,31652,29460,31502,31466,29366,
+29003,31106,30139,30601,32132,28467,30142,30600,32143,28466,31130,29012,
+34426,37020,17728,19329,34393,36989,28465,30597,29451,31497,31451,29356,
+29455,29447,31340,30077,32087,31494,29249,30178,30202,30177,30299,30201,
+30200,34404,36998,18725,21426,34279,36860,29360,30138,38134,36982,29363,
+30425,38670,36988,29362,36987,29359,36981,29848,31780,31779,37302,10167,
+37571,13097,20623,29838,31753,31752,37378,10150,37713,13026,20886,29854,
+29837,29836,29887,36236,41005,31801,32030,31800,32029,41004,36235,37355,
+42044,31799,32028,31798,32027,29877,29972,42043,37354,31797,32026,31796,
+32025,29876,29971,37885,42523,31795,32024,31794,32023,29875,29970,42522,
+37884,31793,32022,31792,32021,29874,29969,29873,29968,31791,32020,31790,
+32019,29872,29967,37442,31835,31838,29892,20945,13294,37758,10198,37441,
+42091,31834,32051,31837,32054,29891,29979,29963,29965,29961,29949,29948,
+29947,29946,29945,29976,29975,29974,29956,31972,31971,41977,33975,31945,
+33761,31944,31943,35191,29944,31942,31941,42063,42090,32050,32053,29978,
+37353,42042,31017,31016,31015,31014,28924,28923,37883,42521,31013,31012,
+31011,31010,28922,28921,36234,41003,31009,31008,28920,31007,31006,28919,
+36573,36559,30749,41750,39927,27061,36085,28663,39519,26343,39521,26345,
+39517,38971,39061,30955,30953,28834,28832,26597, 9597,20771, 9596,30942,
+28812,13649,13159,36568,29087,20211,36550,30974,39555,30976,31207,31202,
+39566,31213,39568,31215,32332,32324,14975,14864,32331,30971, 9587,30784,
+30885,11334,11536,31035,28947,31034,28946,31033,28945,31032,30680,30682,
+31027,43145,27971,38105,36361,38104,36360,38103,36359,38102,36358,30596,
+30904,30595,30731,30594,30858,30593,30922,30592,31569,30591,31279,41602,
+28464,40779,28463,40729,28462,30788,30920,30787,30919,30589,32108,30587,
+30851,40741,31218,31282,31217,33158,31244,33923,33157,31281,31243,33922,
+31223,31649,31222,33156,34481,31229,33155,31648,34480,31228,31103,41708,
+30586,41705,30751,34057,30585,34060,30837,33551,31227,34479,33921,31242,
+30584,33388,31238,33912,30583,33405,34467,30582,30581,34464,31590,33351,
+33917,31240,31277,33471,30580,33542,30579,35822,28461,24137,33154,24135,
+30578,35821,28460,20315,33153,18190,30577,35820,28459,20322,33152,18194,
+40766,40775,28458,28669,33151,33385,31272,30897,33903,31234,31271,34450,
+33902,31233,31270,36595,29182,20310,33983,18185,30576,35819,28457,20059,
+33150,18701,40773,28667,42406,40772,30889,33149,30856,33148,31111,42577,
+31110,31109,12307,41976,20622,30843,33147,31877,31865,31864,31875,38137,
+37570,31904,31542,30896,31541,34449,31540,37201,29403,20309,34026,18184,
+31630,42576,31629,31628,12776,41975,20621,31903,43374,33146,31108,31627,
+33356,33519,31045,33145,43156,38484,28456,28455,38443,43045,28454,28453,
+31152,30572,38414,42966,29040,29047,43204,38501,29676,29645,30895,36108,
+28768,23808,33518,23827,31710,42921,31727,29625,36586,36582,36581,36580,
+36579,36584,40740,29152,33928,31288,36607,29197,20336,33993,18262,31287,
+36606,29196,20335,33992,18261,31286,36605,29195,23570,33991,23569,31284,
+36603,29194,20334,33990,18260,37259,22029,43144,27970,32398,33816,32358,
+33967,32372,33144,32371,32472,32357,32356,32355,32375,32377,32470,33143,
+32469,32454,31940,32488,14328,32491,14344,32497,14301,32500,14308,39361,
+26101,32247,10545,39782,26792,32246,31751,14500,13025,32238,39552,32227,
+32323,32235,32231,32312,42580,32225,14040,42025,20652,32253,32263,42575,
+32262,32261,14104,41974,20620,32260,32259,32300,32243,41593,28452,30571,
+31099,41604,28451,30570,28450,30569,28449,41607,29090,41606,29089,30841,
+28727,31733,29666,31732,29665,31225,31499,31220,31266,30568,31496,30567,
+31263,30566,32131,30565,31105,30564,31091,30563,32122,30562,28448,42539,
+28447,37827,28446,32197,32191,32196,32190,31097,31096,31095,38514,20470,
+31258,31251,33142,31249,33223,31256,31255,31254,30650,30561,41572,26255,
+41586,29175,31260,32084,31062,28962,32185,25060,43143,27969,32154,32153,
+32152,32151,21506,32150,21505,37792,38136,43087,27905,42764,27245,41135,
+25798,38184,32179,32181,32177,32114,32083,31493,32129,32128,32127,41585,
+29248,31771,10157,39784,26794,31750,10149,39862,26902,39987,27145,31749,
+31778,13024,13096,31777,10166,39781,26791,33466,43424,35165,40725,33880,
+43390,32468,43373,32475,32374,33139,32354,31789,32018,31005,31004,31788,
+32017,31787,32016,31830,13286,31829,32048,32045,25059,31976,25310,31939,
+26251,31947,31983,31938,31937,32043,12475,31936,14107,31974,14074,31959,
+35141,31935,33974,31934,33760,31933,35190,31932,13023,32258,14103,31931,
+13022,31930,13021,32223,14038,32221,32257,32014,32013,31992,11595,31990,
+31988,31986,31985,31963,31929,37791,29943,21499,34974,18036,29942,34973,
+31928,18794,37790,20023,31927,37789,29941,20329,34972,18211,31926,31970,
+32047,31003,32903,32767,32894,32750,32590,32608,16656,32623,12282,11039,
+32630,32627,16680,32582,16581,32576,32615,32614,32573,32572,32570,32568,
+32651,32665,32650,33138,32656,33896,33137,32664,32655,33895,32654,33894,
+34023,32564,32563,33517,32562,41669,32828,32827,17502,17501,32745,32744,
+16798,16797,32825,17495,32917,17319,32824,32850,17318,32849,32783,17544,
+32797,17565,32561,32560,32658,32646,32926,32914,32913,32559,32558,32690,
+32795,17563,17381,32684,32777,17541,17317,32672,17200,32670,17194,32669,
+32741,16962,32740,32739,32738,32789,32923,32737,32736,32766,32755,10229,
+10284,10239,10165,10237,10159,10228,10148,10227,10147,10226,10283, 9863,
+ 9748,40145,10048,40165,10050,40167,32291,31050,30365,28953,30176,28952,
+28951,30343,30129,32290,32168,30364,30175,30174,30363,30199,30379, 9665,
+21011,36541,36756,35972,36365,20445, 9752, 9582, 9750, 9581, 9627, 9634,
+ 9580, 9579, 9578,11036, 9648,11282, 9577,11035, 9667,34545,34581,35202,
+33772, 9889, 9885, 9884, 9883,17877,17837,17713,17879,18133,17856,17712,
+18096,17858,18098,18135,17711, 9949, 9955, 9953, 9952, 9951,18129,18093,
+10037, 9640,23566,23565, 9646,23564,20220,33136,41616, 9694, 9697,23563,
+19433,33135,40607,23562,24496,33134,35221,24699,33133,24539,33132,24046,
+41177,10234,10296,10225,10282, 9726,21010, 9717, 9716, 9715, 9714, 9713,
+11524, 9728,17865,24209,33927,10733,10730,23561,19623,33131,40798,23560,
+24148,33130,33815,10024,21009,23559,20317,33129,41789,23694,20321,33330,
+41796,40707,35160,25330,18753,34859,10070,18483,13378,34808,10099,18426,
+13436,34909,10126,18555,13494,10794,10495,10784,10441,10782,10434,10796,
+10498,10799,10512,10801,10515,10281,10224,10280,10223,10290,10231,35069,
+34971,10279,26303,10278,10277,24228,33937,24125,24490,33767,35197,24673,
+13015,24513,13014,24030,41167,10777,10431,10306,10236,34976,10768,10408,
+10359,10183,10358,10182, 9797, 9796, 9795, 9799, 9794, 9793,10191,10196,
+10146,10145,34402,34382,34392,34391,34390,34389,17710,18023,26235,26237,
+26202,26204,18125,18089,18105,18118,17709,18100,18018,17708,18784,18778,
+17707,18012,18092,26221,26195,18091,18724,18111,37836,42470,21174,26829,
+37838,42472,21177,26832,37857,42495, 9576, 9575,21216,26848,11031,11030,
+36545,41564,20204,26213, 9574,11029,36549,41567,20210,26218,41566,26217,
+10511,10644,10497,10634,10420,10555,10514,10653,10508,10637,10403,34807,
+14078,18425,36535,41546,20191,26194,10473,10618,10430,10580,10480,10623,
+10491,10625,30183,10532,40102,10560,10582,10554,10579,32289,32272,10562,
+10590,10628,10770,10617,10776,10620,10632,10550,10549,10548,10655,10630,
+10616, 9860, 9852, 9851, 9854,10530,20618, 5566,20617, 9573,20885, 9712,
+20616, 4291, 4290, 4289, 4288, 4287, 4286, 4356, 4355, 4354,41343,41339,
+40665, 6669, 6709,20614,13010, 6821,20611,13007, 7470,22053,15419, 6720,
+21548,14238,30101,35158,15891,22422,29753,34700,13136,20737, 4549, 4518,
+29770,34717, 4565,29796,34743, 4572,29734,34681, 4535,41611,18173,41613,
+33786,35208,34535,18103, 4285,42625,32907,32906,32195,32189,32188,32194,
+ 4993,42313, 4949,42140,42312,20607,20879,42139,10304,20606,13058,42138,
+10729,20605,16109,42137,42448,42178,10276,42491,42136,42490, 4948,42489,
+10286,42409, 4954,42443,36593,42135, 4284,42134,10029,42133, 9940,20935,
+ 9939,23558,12616,42351,23557,20934,33126,42350, 9183, 4283,10121,18549,
+ 4282,40459, 4281, 4280,20604,42634,13003,42261, 4279,20603,13002, 5137,
+ 4978,20602,42260,13001,42633,42632,42259,20601,20600,13000,12999,18690,
+10349,20599,20598,12998,18689, 4278,20597,12997,18511,10110,20596,20595,
+12996,18510,40918,20594,12995,17923, 9765,40917,20593,40916,17922,40692,
+40691,40690,40689, 4320, 4322,40418,40417, 4306,40416,42585,42574, 4973,
+42252, 4972,42405,42201,20670,42404,42200,10316,20703,13104,42223,10315,
+42403,10097,18481,20592,20591,18478,12994,13134,20735,18415,18413,20734,
+10063, 4277,20590,12993, 4335,20733,13133,35135,30076,22307,15748, 4399,
+ 4401, 4276, 4275, 4274, 4273, 4272, 4271,29721,34668, 4515, 4304,40712,
+21466,14080,23748,22421,15890,40415,40514,41545,41544, 6668, 8194,33785,
+35207,34534,40424,21425,14006,23588,22306,15747,40423,40414,40413,21439,
+14026,23556,22334,15779, 4372, 4369, 4368, 4367,35151,30093,22413,15879,
+35150, 4709,42027,20654,31957,13047, 4743, 4692,42062,20878,31969,13057,
+32452,16107,32464,32480,32369,18743,24473,20658,26549,18117,24227,20589,
+26528,18017,24124,20588,26527,18783,24489,20587,26526,40412,10275,20877,
+12992,42311,41973,20586,31925,12991,30092,30275,29355,29432,30137,30296,
+29002,29008, 4318,17706,23555,20691,26570,40411,25557, 6570, 4334,29718,
+34665,12990,20585, 8185, 4333,34541,40410,21144,13573,23554,21321,13811,
+ 4337, 4332, 4331,17775,23649,20740,26589,18110,24208,20732,26586, 4339,
+17705,23553,20744,26593,10094,18475,20584,20583,18473,12989,13156,20767,
+18411,18408,20766,10060, 4269,20582,12988, 4346,20765,13155,23552,23551,
+20958,20950,18569,13299,10132,18561,20957,23550,18568,23549,10131,18560,
+23548,20949,23547,13298,10128,18557,20955,20947,18566,13296,23546,20967,
+13309, 4426, 4425,20966,23545,13308,23544, 4422,20964,13306,18123,20907,
+18736,26927,18735,20656,18116,20581,18016,20580,18782,20579,18072,27682,
+18077,20932,18075,26926,18074,20930,18070,20923, 7374,21967,15295, 6806,
+20578,12987, 7475,22058,15424, 7355,21955,15281, 6829,20897,13255, 7482,
+22065,15432,17704,26941,39072,22305,15746,25553,21424,14005, 4345, 4344,
+20764,39836,13154,39658, 4330, 4329,20731,26878,13132,26640, 5176, 5028,
+20763,39657,13153,39835, 4328, 4672,20730,26639,13131,26877,39834,39656,
+20762,20761,13152,13151,26876,26638,20729,20728,13130,13129, 4343,21375,
+13913, 4327,21249,13704,39129,20760,13150,25661,20727,13128, 4364,20803,
+13187, 4385,20846,13227, 4366,17904,26925,17903,20775,18109,20759, 4352,
+ 4363,17703,20773, 7224,21817,15106, 7278,21845,15151, 6793,20758,13149,
+ 7453,22033,15389, 4419, 4418,18063,20916,18723,20909, 4414, 4413,17702,
+20911, 7222,21815,15104, 7399,21987,15317, 7350,21950,15275, 4312, 4362,
+17701,20681, 7220,21813,15100,23543, 7430,22016,15356, 7436,22020,15361,
+ 7409,22000,15333, 7391,21981,15309, 9607, 9609,20868,26645,26883, 9571,
+21254, 9570, 9569, 9568,20862,26642,26881, 9605,21252, 9603, 9711, 9710,
+20845,26634,26872, 9709,21244, 9708,32149,17742,27675,18764,26633,17850,
+27739, 7293,27674,27803, 7219, 7264,27723,27722, 7263,17700,27691, 7218,
+27690,27673, 7233, 4397, 4384, 4387, 4383,10544,26524,14097,37564,10164,
+26523,13611,37563,37712,26522,26665,37562, 4854,37711, 4819,37561,10169,
+26582,13623,37610,37603,26564, 4833,37657,23542,26552,23747,26521,10144,
+26664,13559,37710,24179,26684, 4622,26520, 4642,26575, 4621, 4680,26519,
+26657, 4620, 4010, 4619, 4009, 4618, 4008, 4617, 4007, 4616, 4006, 4615,
+ 4005, 4614, 4004, 4613, 4003, 4612, 4002, 4651, 4042, 4650, 4041, 4649,
+ 4040,17699,42365, 4999,42364,42338,26673,42337,26672,17698,26694,10370,
+26693, 9943,26689, 9942,26688, 4611,26518, 4610,42500, 4609,37862, 4608,
+26517,42499,26516,37861,26515, 4984,42285,42284,26514,10357,26513, 4837,
+37681,37680,26512,10181,26511,40976,36197,36196,40975, 9792,26510, 4627,
+ 4019, 4677, 4066, 4629, 4023, 4679,26656, 9567,17697,26655,26157,26889,
+26152, 9850,17972,26509,25868,26789,25867, 5989, 4001, 5982, 4017, 9724,
+ 9832, 9821, 4068, 4021, 4025, 4000, 3999, 3998, 3997, 3996, 3995, 3994,
+ 3993, 3992,18079,18763,17849,17696, 5676, 3991, 5978, 4076, 9819, 4640,
+ 4639,26788,26573,26828,26827, 4655, 4607,26604,26847,26850,26787, 4653,
+ 4606,26845,26508,26844,26786, 4072, 4071, 4070, 9601, 9599,13239,13706,
+ 9566, 9565,13247,13710, 9707, 9706,13224,13694,32148,17740,27672,18762,
+26869,17848,27738,17695,27802,26341,38967,25052,26190,25051,26188,25050,
+12633,25049,12628,25048,26338,25047,12682,25046,26280,25045,12771,26095,
+26329,25111,12672,25228,25044,25043,25042,25041,25040,25039,25038,25037,
+25270,25269,25980,25979,25036,25035,25034,25033,25032,25295,25294,25293,
+25292,26167,26172,26166,26171,26165,26170,26164,26169,25309,25308,25307,
+26176,26181,26175,26180,26174,26179,25031,25030,25029,25028,25027,25026,
+25025,25024,25023,25022,25021,25020,25019,25018,25017,25016,25015,25014,
+25013,25012,25011,25010,25009,25008,25238,25236,25264,25266,25543,25542,
+25537,25539,26316,26327,26091,25226,26059,26061,26058,32176,38181,25804,
+25806,25802,25801,26108,20020,26093,20015,25242,19468,26336,20349,26335,
+20348,26334,20347,26332,20343,26323,20340,25391,25370,29835,25369,34970,
+26099,31094,32126,31253,35415,38473,36287,38148,36286,36285,25935,27057,
+25934,26098,25933,26374,25963,27671,27340,25960,25932,27255,27085,25931,
+25959,27050,26097,25967,26186,26184,33117,33965,33116,28439,29173,33964,
+29435,34082,33115,28438,33114,34081,26377,26419,25260,33911,33531,28780,
+28785,33537,33915,25007,25006,25005,33469,33960,29416,34045,33300,28622,
+33283,28616,29170,33957,33350,34056,26369,26402,25004,26005,25003,25341,
+29168,33955,34022,33954,26394,26357,28189,22298,28165,28167,33113,33899,
+33112,28437,29150,33898,28123,33901,33516,28767,28122,28121,25552,40394,
+25551,25550,28436,28435,28641,29402,29401,34021,26373,34969,26372,25248,
+19474,11313,19927,25892,12124,28434,28433,25826,25825,26224,25828,26930,
+26924,25830,25824,26967,41117,19947,12165,25389,26063,26083,27025,21441,
+27190,21629,27108,27071,27244,32175,38180,27074,27070,27069,27076,27059,
+21496,27027,27670,27047,34611,35085,27135,27056,34968,27055,38179,35414,
+38472,38147,38146,27084,27254,27083,27253,27052,27222,31101,36363,26296,
+26288,26271,26287,26283,20247,26285,26264,26290,26273,26294,26277,26293,
+26276,26292,26275,25344,28055,28057,27828,27726,27784,27403,27783,27402,
+27715,29840,27669,29881,29192,42830,42130,43047,27769,42402,37788,43086,
+42763,41134,27668,42752,41279,41836,28023,27667,27737,29834,27736,27904,
+27496,27903,27495,38178,32174,28432,28862,29400,29399,29247,27982,27966,
+27515,38471,32426,38145,32163,36284,31043,27984,36120,40793,28431,28430,
+29046,29039,27762,35413,38470,27243,27242,27068,28429,28880,29398,27126,
+27270,27100,26923,27010,27012,26951,26961,26969,26954,26922,26921,26920,
+26919,26918,42210,42129,30264,27000,42552,37919,29189,28991,30289,26917,
+42459,37899,26956,42401,37787,43142,26916,41838,27054,26915,26914,27261,
+27093,27122,27137,27139,27143,26929,27252,27082,26987,26986,26985,26984,
+26965,27045,42306,26262,26269,26268,25864,25862,19907,12099,25861,21133,
+13558,26232,25284,21158,13589,36233,41002,41001,36232,25459,25467,25466,
+25439,25438,25437,25463,25462,25478,25436,25435,25434,25433,25432,25431,
+25430,25429,25448,26797,26913,25450,25428,26630,26868,25427,25455,19572,
+11451,19575,25453,11454,25425,19564,11435,25422,25421,34547,36611,29498,
+31483,40783,36087,27782,27902,27499,27501,27494,27493,27401,27721,27720,
+27719,27519,27514,27513,27512,26737,26742,26739,26717,26716,26715,26714,
+26713,26735,26734,26733,36534,41543,26558,22395,26507,22420,26675,22296,
+26506,20726,26578,20695,26505,20577,20876,26654,30266,30082,29431,29354,
+30295,30136,29007,29001,26504,26785,26503,26784,26502,26783,26501,26782,
+26653,20576,26803,26818,26810,26781,26780,26779,26778,26777,26905,26776,
+26775,26774,26773,26772,26814,27666,26771,27735,27975,27749,28027,28044,
+28037,26796,26770,26831,21179,21176,13621,13619,26843,21132,13557,26822,
+26821,26820,25684,19793,25679,19791,25660,19781,25659,26261,25658,32147,
+25657,26231,25656,25655,25654,27734,25653,25682,27665,27767,25704,27766,
+27664,25703,25707,25652,27718,20178,20182,19439,11301,19435,11297,19999,
+12305,20245,12674,20249,12676,20253,12680,20252,12679,20251,12678,26247,
+21597,21596,21595,21594,30157,35219,33813,29037,29457,34543,40385,40384,
+40383,40625,19655,20477,20475,42960,43367,42673,42571,42959,43366,19653,
+28426,33105,28425,33104,19651,28424,33103,41111,41110,41108,31886,28423,
+28422,28421,28420,19639,11546,19644,11548,19622,19115,41179,41153,19536,
+11398,21323,21148,37369,37702,31765,21152,21314,21131,37377,37709,31776,
+21130,32245,21129,21313,21128,21312,21127,21311,21126,21401,21305,37295,
+37560,31748,21304,21374,13912,20757,20756,13148,21373,21241,13693,20725,
+20724,13127,21240,21372,13911,21371,19612,11504,28419,40382,40381,19823,
+11892,39128,20755,39127,19822,19780,11781,25651,20723,25650,19779,19821,
+11891,19820,19819,11890,11889,19818,41089,41088,19437,11299,19540,11402,
+19531,11393,20034,12310,20037,12329,15739,22295,20036,12328,20290,12758,
+20300,12769,20299,12768,20298,12767,32458,40797,41132,40630,41662,41707,
+41690,41785,41661,41774,41660,41773,41700,41699,41795,41684,41688,41659,
+41727,41811,41725,41657,28418,28417,20229,12982,20228,20575,20225,12655,
+20222,12653,28416,26302,42400,37786,22294,15738,22293,15737,22292,15736,
+22291,15735,22290,15734,22289,15733,22288,15732,22287,15731,34719,29772,
+35227,30162,29728,34675,35140,30081,34689,29742,35134,30075,29774,34721,
+35133,30074,35253,30198,35132,30073,28931,33671,35130,30071,22286,35177,
+22285,22284,22353,22283,31910,29115,29113,31879,28415,28414,22438,15899,
+22282,15730,22746,21563,37294,37559,31747,21562,22748,16285,22750,16288,
+22415,15884,22281,15729,22280,15728,22392,15849,22463,15930,34658,29711,
+35157,30100,29710,34657,35156,30099,22419,15889,31863,29036,29035,22651,
+16133,22653,16140,22658,16151,19922,19920,19906,40380,19905,19904,41087,
+41116,19968,12203,19966,12201,19946,12164,19945,12163,38940,25109,21310,
+21125,20232,12661,20234,12663,20240,12667,20239,12666,20238,12665,20242,
+12669,20305,12687,20304,12686,20303,12685,20307,12689,20176,12631,20175,
+12630,20180,12635,32140,31127,32139,31126,32138,31125,32137,31124,20351,
+20346,31463,31462,31456,31448,31447,31446,31445,31862,32146,31924,41972,
+21504,21503,21578,21577,21576,21575,27661,21437,21457,21455,32173,21534,
+21532,21530,27660,41713,41802,42860,42754,41724,41810,21525,14160,21523,
+14158,21518,14134,21517,14133,21542,14214,22955,23406,23405,23404,23403,
+22986,21686,14735,21651,14505,41289,41281,42958,43365,40371,40370,43076,
+43441,21638,14457,21657,14512,21674,14605,21672,14603,21667,14579,21666,
+14578,19579,11459,19601,11477,25419,25417,19561,35438,30308,41723,41809,
+27202,27033,21034,27713,21008,27733,25368,21007,27659,21075,22411,15877,
+34878,29879,41558,41577,40612,40614,41693,41787,22278,15727,34907,29889,
+26560,26816,22277,15726,26551,26812,22394,15852,22364,15806,34804,29833,
+26500,26769,22363,15805,21481,20207,22481,20203,20213,20206,20202,26499,
+26768,20201,20270,12650,20269,41342,41338,41337,41341,40664,40663,41562,
+41581,20573,12980,29751,34698,34655,29708,34696,29749,34653,29706,41610,
+20570,20569,34533,35206,33784,20568,18102,20567,12979,42624,42623,23537,
+23536,20566,12978,20565,12977,41086,41085,36592,12658,20564,41808,41374,
+41353,41373,41352,41372,41351,41371,40369,40368,40367,40366,40365,40364,
+42597,42570,42569,42627,20664,13056,20563,12976,20800,13184,20754,20753,
+13147,20799,20842,13223,20722,20721,13126,20841,20798,13183,20797,20650,
+13049,20562,12975,20561,12974,20560,12973,20559,12972,41979,31961,42023,
+42061,41971,31968,41970,32451,41969,40363,20875,13250,31923,42060,26496,
+26767,21448,14037,20720,13125,20719,13124,25860,25859,20718,20717,25966,
+25556,20796,13182,20927,13282,20929,13284,20809,13192,20795,13181,20866,
+13243,20840,13222,20852,13232,20839,13221,21150,21156,21136,21124,21123,
+21122,21121,21120,21278,27658,21119,25367,27732,21118,28025,21138,21117,
+13556,21116,13555,21115,13554,21114,13553,21263,21262,21261,25415,25413,
+12352,14223,12821,14281,12823,14284,11140,14523,11132,16013,16393,16380,
+14985,14869,16399,16386,15015,14892,11966,11104,10996,14459,11321,11539,
+11466,10995,11332,11472,11534,10994,11346,16643,10993,16653,11530,11520,
+11433,12281,12285,11348,11345,40140,39228,11990,14113,11989,15240,11988,
+21492,20011,21491,20010,21490,20009,21489,20008,21488,20007,21512,20042,
+34803,29832,23535,23699,24207,21511,20041,33102,11672,22276,35218,11555,
+11551,41176,11366,35137,40362,33101,40361,40523,41542,21487,21370,35188,
+33950,13910,33100,40360,40499,41541,21486,20006,35187,33949,11888,43364,
+33099,43363,12766,42568,18668,12657,36591,33098,32353,11080,12046,12039,
+12010,12036,12014,11189,11191,37683,42287,11099,11101,37864,42502,11089,
+11091,11066,11068,11117,36201,40984,12614,42348,27657,22275,42347,37744,
+12613,12600,42346,37743,12538,12537,33097,13266,23526,27656,22272,12536,
+12510,15773,14398,15722,33962,15721,26417,15720,26663,40355,15797,15719,
+15718,33946,33830,33433,15717,15716,15715,26691,16233,33096,33095,15713,
+33094,37344,33868,37388,33875,20474,32309,33833,33437,33837,17996,33093,
+33092,15709,15706,15921,40354,33812,23525,20040,15834,32487,32496,32776,
+40353,40352,33091,33811,33810,33809,37293,33808,33807,33806,33805,32299,
+32474,32388,33090,32352,17684,23524,27756,22461,27655,22255,17843,23772,
+17841,23746,27728,22418,26585,20716,15700,15099,15888,26495,26494,20558,
+27029,21447,27036,21462,16104,14669,17900,16103,12971,40351,31922,32450,
+25572,19660,17683,23523,26493,20557,16102,15274,26492,20556,12088,12087,
+12086,41166,23522,12131,12085,42128,12084,40627,35975,37785,42399,12082,
+12113,12079,12078,12077,12076,42498,37860,12075,12074,42283,37679,12073,
+12072,40974,36195,12071,12123,41772,41771,41770,41769,41782,36891,41799,
+36967,41768,36859,41807,12968,41806,36986,41805,36985,41767,36858,41766,
+12517,12514,37751,12606,37749,12604,11378,42546,37906,11431,11430,11429,
+11446,11450,11428,11427,11426,21537,12242,20215,20189,20274,21113,20200,
+20268,20272,22254,20265,20555,20264,20794,20263,20262,21369,20261,20260,
+22253,20257,20715,20267,24168,23521,41348,40350,24206,41540,22356,21036,
+22362,21005,21070,22252,21510,21004,21146,22251,21140,22330,21435,21317,
+13366,18487,13365,15909,18447,15816,21112,22361,15804,18405,15803,13364,
+14077,13363,13435,13809,13572,15699,13492,18554,15698,36471,36498,36547,
+15137,14053,16177,14484,40139,39954,15239,14112,15238,14111,15697,15887,
+15864,40711,21465,20752,15098,20937,15326,36469,20468,15273,14182,20554,
+15272,16100,14326,14299,15021,14896,15013,14890,14961,14960,14959,14958,
+14853,14768,14231,14499,14426,14030,14767,14665,14705,14195,14692,14187,
+14663,14180,14730,14577,14729,14132,14728,12159,14727,14726,43440,43362,
+18059,34607,17682,34605,18720,34602,34903,14772,14786,14269,15355,14267,
+14784,16269,15351,16265,14868,14852,14851,14850,14849,14957,14889,25722,
+33651,14576,14575,14574,26973,14573,35051,14572,26612,14571,34867,14570,
+14569,14096,13552,23520,14062,23519,39795,23518,21316,22250,39531,20793,
+14004,39655,14003,21368,14002,39833,14001,14000,13999,39126,19817,40119,
+40138,14280,14283,14228,20553,21485,20792,21484,14237,33758,33757,39753,
+14240,39752,33089,14247,34800,14246,33088,21111,21451,14222,14207,26584,
+15097,16099,14131,25721,33650,14130,14129,14128,26972,14127,35050,14126,
+26611,14125,34866,14124,14123,14052,12157,12155,12153,12182,12152,12151,
+12150,26971,12149,35049,12148,26610,12147,34865,33649,25720,13454,12146,
+16900,17343,16912,17380,16619,16568,23517,16689,16566,24234,16564,22248,
+16724,24188,16723,33085,16729,33890,33084,24187,23516,33889,16728,33888,
+34012,16559,23826,33515,41648,16558,17067,17181,16557,26220,18087,16720,
+16810,16773,16772,20552,17681,16771,16556,18719,16956,16955,17537,17300,
+17536,17299,17535,17534,17297,17295,17293,17292,17291,17290,17533,17388,
+17377,12965,12964,13095,12963,41609,18172,34532,35205,33783,15477,15532,
+17101,12962,32905,32193,32187,16767,12961,13055,41347,13067,12960,18502,
+12959,12958,18545,12957,17199,14073,18441,14048,32032,31967,31921,21110,
+21446,14036,18404,14035,17680,23511,18740,24471,13163,13660,26601,20777,
+18115,24226,18015,24123,18781,24488,12956,13551,26652,20874,40347,13054,
+13588,26487,20551,40346,40512,41539,33756,35186,33948,13180,19648,25562,
+20465,26438,30161,30303,21450,27031,29353,29430,30135,30294,29000,29006,
+21461,27035,36984,41804,12955,13550,37747,42357,12954,13549,40345,25560,
+26486,13123,33952,13122,13121,25965,25559,15460,15514,17055,17772,23647,
+17679,23510,18108,24205,18121,17678,18738,18114,18014,18780,12953,26651,
+18061,18085,17677,18083,18718,18081,15279,16126,15095,15694,17676,17906,
+18107,15149,15902,13263,15344,16259,15353,16267,15187,15955,15289,16156,
+15127,15790,15093,15692,13548,13610,13596,23508,22329,23745,22417,15809,
+34823,15691,34863,22242,24181,15690,15886,20714,13547,40796,35139,33827,
+33803,15828,15687,41794,13546,42222,13545,13544,13587,16239,34799,16238,
+33082,13543,13578,42408,37794,37816,42445,13657,42127,13656,13655,13654,
+42398,37782,13764,42369,17675,42368,13763,42367,13761,17674,13760,15683,
+13728,13727,13542,13541,13540,42497,13539,37859,13538,42282,13537,13536,
+37678,13535,40973,36194,13534,15680,14206,14568,14122,13667,13586,20550,
+13585,11809,11819,11779,11817,12121,11775,11797, 9551,34857,33081,33079,
+ 1870,10340, 1763,21210, 1607,32011, 1803,35041,30536,30534,19291,31901,
+17673,29870,28404,28402, 1820,37989, 1577,29932, 1748,18661, 1887,13864,
+35765,35763,10964,37629, 9549,34854,33077,33074, 1867,10337, 1760,21207,
+ 1604,32008, 1800,35038,30532,30529,19289,31898,17671,29867,28400,28397,
+ 1817,37986, 1574,29929, 1745,18658, 1884,13861,35761,35758,10962,37626,
+ 9546,33071,33068,33066,19054,18717,14385,19286,38275,38056,30331,33064,
+30526,30524,19282,30522,17667,28391,28388,28386,32215,35749,35477,35586,
+10674,17664,21625,22234,35746,35744,10957,35742, 9542,33055,33053,33050,
+19051,18714,14382,19279,38272,38053,30328,33047,30516,30513,19277,30510,
+17661,28384,28382,28379,32212,35739,35474,35583,10671,17657,21622,22231,
+35737,35734,10955,35731,17797,34167,33045,33043,36731,34323,33345,31399,
+18340,31381,19447,34342,35958,30508,19267,31584,17649,29534,33325,28371,
+17808,36906,20409,29311,35939,29295,34185,36925,35717,35715,19461,36750,
+17796,34166,33029,33027,36730,34322,33344,31398,18339,31380,19446,34341,
+35957,30500,19259,31583,17641,29533,33324,28368,17807,36905,20408,29310,
+35938,29294,34184,36924,35713,35711,19460,36749,43358,33025,33022,33020,
+ 7205,40213, 6413,24632, 7559,39912, 6227,33018,42727,30498,27180,30496,
+24775,28366,40212,28363, 7556,35709, 6226,43355, 7202,27333, 6412,42724,
+35706,35704,39911,35702,43361,33015,33058,33061, 7208,40209, 6409,24630,
+ 7562,39908, 6223,33013,42730,30519,27183,30493,24778,28361,40216,28394,
+ 7555,35699, 6230,43354, 7201,27332, 6416,42723,35755,35752,39915,35697,
+17638,10331,34848,35032,30491, 1811,33011, 1568, 9531, 1739,19256, 1878,
+35695,32002,21053,21201,18613,18652,33008,29923,17635, 1861,10944, 1754,
+35692, 1598,28359, 1794,37620,37980,19253,13855,17632,34202,33647,33633,
+36770,34359,33005,31436,18359,31419,19250,34375,35689,30992,19768,31615,
+17920,29549,33004,28918,17631,36945,20439,29346,35688,29330,34219,36962,
+36230,36193,19249,36789,17630,33377,33646,33632,36229,33003,30991,17919,
+30769,19248,35687,19767,28655,28917,35994,36192,17889,10746,35613,35557,
+30927, 8803,33565, 5749, 9746, 8073,19628, 8560,36125,32295,22558,21685,
+18903,19091,33570,30376,17895, 8844,11544, 6969,36132, 6014,28802, 8448,
+38196,38333,19633,14689,17888,10745,35612,35556,30926, 8802,33564, 5748,
+ 9745, 8072,19627, 8559,36124,32294,22557,21684,18902,19090,33569,30375,
+17894, 8843,11543, 6968,36131, 6013,28801, 8447,38195,38332,19632,14688,
+17887,17628,35611,35555,30925,30488,33563,33001, 9744, 9528,19626,19246,
+36123,35685,22556,21683,18901,19089,33568,32999,17893,17626,11542,10941,
+36130,35683,28800,28356,38194,38331,19631,19244,39563,10143,34967,34798,
+30660,42077,33233,26992,33856,42320,31186,31181,39684,31861,24419,21003,
+26998,18587,42331,29831,29068,29085,36449,39689,35890,24423,28540,39559,
+37950,37553,42072,13360,33862,18638,33197,33201,35065,37723,32038,34797,
+31175,18619,33846,21002,30630,37949,31192,19345,29074,17746,28509,34966,
+36467,18586,29079,21066,29936,37552,38021,34889,35855,35859,36462,21109,
+33210,18637,33451,33444,35020,37608,31979,34796,30643,18604,33205,21001,
+30835,37948,30639,19516,28522,17835,28711,34965,35868,18585,28517,21046,
+29911,37551,37970,34832,36049,36060,35864,21108,18010,35175,33221,33215,
+31081,18584,33736,21859,37947,37550,29904,35353,36327,30648,19351,32120,
+17752,30423,33747,28527,31920,38450,34964,34795,36337,18946,28984,21000,
+35874,35879,19988,38641,17823,18358,28697,29563,30809,31435,33401,34358,
+38685,38468,31614,31418,36017,36769,11343,12750, 9663,10013,33421,34218,
+32162,32425,36788,36944,36033,36961,28685,29329,30799,31601,19492,20438,
+17822,18357,28696,29562,30808,31434,33400,34357,38467,38684,31613,31417,
+36016,36768,11342,12749, 9662,10012,33420,34217,32424,32161,36787,36943,
+36032,36960,28684,29328,30798,31600,19491,20437,17821,18356,33685,33684,
+30807,31433,33399,34356,36258,36257,31612,31416,36015,36767,19976,19975,
+17962,17961,33419,34216,31042,31041,36786,36942,36031,36959,28683,29327,
+36265,36264,19490,20436,10003,34321,34165,34340,17795,32160,11309,35238,
+35956,35937,28636,34183,31582,38466,20424,31397,18329,29293,29532,35383,
+30747,36729,33323,33343, 9657,38683,19459,30427,36748,36904,12740,36923,
+10002,34320,34164,34339,17794,32423,11308,35382,35955,35936,28635,34182,
+31581,38682,20423,31396,18328,29292,29531,35237,30746,36728,33322,33342,
+ 9656,38465,19458,30305,36747,36903,12739,36922,33683,34319,34163,34338,
+17793,31040,19974,33715,35954,35935,33682,34181,31580,36256,31048,31395,
+28956,29291,29530,33714,36263,36727,33321,33341,17960,36255,19457,28928,
+36746,36902,36262,36921,43340,17624,32997,32995, 7188,40208, 6408,32993,
+ 7542,39907, 6222,24772,42710,35681,27167,19242,24766,17621,40196,32990,
+ 7554,27177, 6210,43353, 7200,35678, 6396,42722,35675,35673,39895,19240,
+34525,23507,32987, 7309,32975, 7308,24977,23337,17054,17288,23183,40340,
+24975,23336,17053,17287,23182,40338,40336,23181,17052,24973,23335,17286,
+38810,32821,40605,39392,25222,38772,40603,39389,25224,32726,38771,32725,
+40601,40599,23180,39383,17051,39386,25220,25218,23334,24199,17285,24192,
+25279,25281,38770,38769,38961,32820,32724,32723,38959,38809,40652,40654,
+38955,38957,41224,17050,25995,23333,41226,23179,25993,17284,23681,23679,
+32973,39048,40641,13960,23505,13952,23503,13969,23500,23498,39722,23496,
+39746,23493,39745,40067,31682,40070,31685,40072,31687,40066,31681,40065,
+31680,40055,31673,39721, 9923,39744, 9934,39743, 9933,16510,32971, 2826,
+28343, 2824,40334,40332,40331,40329,40327,40325,40323,40321, 6294,22565,
+16042, 6271,22626,16092, 4266,22625,16091,10919,19223, 6624,10911,24964,
+ 7087,19217,24960, 5724, 2709, 3037, 3181, 4265,22622,16089, 4298,22620,
+16087, 7349,21949,15271, 7347,21947,15269, 7345,21945,15267, 3206, 5752,
+10899,17800,34171,33121,33125,36735,34327,33348,31403,18344,31385,19450,
+34346,35961,30552,19305,31588,17694,29538,33328,28443,17811,36910,20413,
+29315,35942,29299,34189,36929,35807,35803,19464,36754,17799,34170,33120,
+33124,36734,34326,33347,31402,18343,31384,19449,34345,35960,30551,19304,
+31587,17693,29537,33327,28442,17810,36909,20412,29314,35941,29298,34188,
+36928,35806,35802,19463,36753,18636,34169,33119,33123,36733,34325,34794,
+31401,18342,31383,20999,34344,37946,30550,19303,31586,17692,29536,34963,
+28441,18583,36908,20411,29313,37549,29297,34187,36927,35805,35801,21107,
+36752,34520,23692,17727,34206,33644,33630,36773,34362,33170,31439,18362,
+31423,19328,34379,35834,30989,19765,31619,17917,29553,33166,28915,17723,
+36949,20442,29350,35830,29333,34222,36965,36227,36190,19324,36793,17726,
+34205,33423,33403,37945,34793,33169,31860,18635,31422,19327,34378,35833,
+30811,19494,31618,17825,29552,33165,28687,17722,36948,21106,29349,35829,
+29830,34962,37548,36019,36035,19323,36792,17725,34204,34961,34792,36772,
+34361,33168,31438,18361,31421,19326,34377,35832,31859,21105,31617,18634,
+29551,33164,29829,17721,36947,20441,29348,35828,29332,34221,36964,37944,
+37547,19322,36791,17719,33381,33643,33629,36226,33162,30988,17916,30773,
+19320,35826,19764,28659,28914,35998,36189,17718,33380,33494,33506,37943,
+34791,33161,31858,18633,30772,19319,33379,35825,30915,19588,30771,17875,
+28658,33160,28758,17717,35997,21104,28657,35824,29828,34960,37546,36106,
+36096,19318,35996,34201,17619,33398,33418,34790,37942,31857,32969,31415,
+18632,34374,19209,30806,35662,31611,19489,29548,17820,28682,32964,36941,
+17615,29345,21103,29827,35647,37538,34959,36030,36014,36785,19204,38965,
+38827,38964,38402,38963,38394,30483,30481,30479,30197,30173,30172,37558,
+37533,33232,26991,33855,42319,26997,31853,42071,34785,30663,10141,42330,
+20996,31185,37937,30659,42076,28539,39558,29067,34954,39683,18580,28536,
+13358,39562,37532,24418,29823,36448,39688,35889,24422,37708,37640,36827,
+41765,29940,37091,37531,38132,37530,29954,29939,29952,29938,18047,17687,
+18179,17690,37648,36442,36300,26727,26710,26725,26709,36053,36296,36454,
+ 8812, 5812, 8435, 8792, 4905,43814,43311,43002,43286,42582,42845,42928,
+42841,17738,17994,17736,17882,37784,37852,36298,36308,42834,26708,42866,
+42924,42836,41896, 4061, 5984, 5996, 3392, 6655, 3665, 5991, 2355,11822,
+11824,12297,12293,41271,41244, 9823, 9825,28555,30678,23629,25170,28972,
+31072,24113,26051,28716,30818,23740,25326,28544,30669,23602,25142, 9678,
+ 9673,12176,11804, 6292,22567,16044,14145,14590, 2539, 5657,14143,14588,
+14164,14610, 2549, 5675, 1621, 5475, 1922, 5500, 3097, 5374, 5384, 3103,
+ 1927, 5218, 5216, 1912, 5230, 1907, 5228, 1909, 1924, 5240, 1920, 5242,
+ 5251, 1915,16600,16633,10970,11111,10966,11285,11116,12195,12208,11050,
+24332,28819,28826,30947,37995,11048,37653,24461,38605,24787,38432,11046,
+28807,30934,11044,43887,43853,43884,43850,43879,43845,43876,43842,14147,
+14592,11113,12199,17610,19104,17607,19103,35640,28333, 8578, 8135, 4818,
+ 4785, 8230, 8669, 8667, 8228, 8584, 8161, 8176, 8596, 8576, 8133, 6923,
+ 6164,36294, 8790,36293, 6921, 6162, 6901, 6157, 4816, 4783, 8178, 8598,
+ 6925, 6166, 8586, 8163, 6903, 6159,24751,12788,39418,38649,38634,36069,
+38630,37529,39997,39585,40148,40037,40013,40113,39995,39678,40109,39587,
+39677,39544,39583,40111,39582,38677,35816,35815,38676,38692,38648,32845,
+30554,32330,30665,31742,31199,32322,32317,10868,10865,28325,28322,28318,
+28315,18253,11572,11569,37502,37165,35655,35652,35793,36302,36292,18631,
+34162,32968,32963,36726,34318,34789,31394,18338,31379,20998,34337,37941,
+30485,19208,31579,17614,29529,34958,28341,18582,36901,20407,29309,37537,
+29290,34180,36920,35646,35661,21102,36745,18630,18355,32967,32962,31856,
+31432,34788,34355,34200,34373,31610,31414,37940,36766,19207,19203,17613,
+17618,34957,34215,29547,29344,36784,36940,37536,36958,29826,29326,35645,
+35660,21101,20435,18629,17873,32966,32961,31855,30913,34787,33504,33376,
+33375,30768,30767,37939,36104,19206,19202,17612,17617,34956,33492,28654,
+28653,35993,35992,37535,36094,29825,28756,35644,35659,21100,19586,35799,
+ 9353, 9466, 9351, 8511, 8467, 9356, 9355,38382,28878,28873,28860,28855,
+36282,36277,35797,18255,27821, 2597,18244,18243, 2456, 2596,18258,20185,
+18251,18250,18248, 2639,37181,37178,37131,37164,37190,37163,37162,37161,
+ 2628, 2484,37160,37130,37159,37189,37158,37107,35671,28353,30196,28348,
+30171,28352,28351,30211,28330,32980,32985,32978,32983,28346,28350,28329,
+32887,32733,36647,36641,39425,39436,39434,17467,17466,17465,11252,11231,
+11249,11228,28577,30701,28571,30695,17464,36512,36527,32681,33885, 2803,
+29143, 2801,33883, 2815,29141, 2814,17283,36510,23099, 8940,16953, 8939,
+24190,24197,17374,36514,23332, 9222,17282, 9221,24186,24195,16899,36509,
+17342,36508,16716,36507,23331, 9220,17281, 9219,23513,23515,16898,35774,
+16770,35773,35812,32912, 9413, 9412,38826,38825,32843,32842,36520,32749,
+36525,32722,36524,32765, 9315, 9314,38768,38767,32721,32720,36523,32902,
+36522,32643,11922,11919,17550,32854,17500,32826,17196,32891,17326,32918,
+14566,13036,13033,13045, 9827,20640,20632, 5980,21627, 6232,20630, 4294,
+28502,30618, 3072, 3390, 3308, 3501, 3294, 3479, 3296, 3485, 3291, 3474,
+24393,42188,24390,42185,10400,38621,10397,38618,38600,37957,38597,37954,
+ 3369, 3053, 2347, 2474, 2341, 2468, 3497, 3306, 3387, 3070, 3372, 3056,
+ 3462, 3288, 3460, 3286, 3367, 3051, 6898, 5577, 6896, 5575, 6912, 5608,
+ 3262,38172,27114, 3033,38221,27106, 3031, 2490,38144,27081, 2488, 9523,
+38143,27080, 9895, 3361, 3413, 3411, 2340, 2338,19193,20045, 3436,16188,
+ 7760,16186,16190,16166, 7755,27548, 7979,27546, 7977,27554, 7985,27371,
+ 7905,27369, 7903,10218,34894,29094,29104,23572,40849,33705,33700, 5477,
+ 3365, 5504, 2343, 5409, 3495, 5442, 3385, 5436, 3375, 5376, 3454, 5430,
+ 3363, 5327, 2345, 5283, 2367,32622,30556,30756,31026,32607,30558,30783,
+30872,30884, 6085, 1558, 5512, 1532, 5502, 1551, 6098, 1541,16642,32605,
+32620,16677,16631,16675,14167,14613,10974,10972, 5387, 3106,12007,12006,
+19884,19883,27888,27479,25821,25820,22532,21907,15995,15226,13355,13354,
+20992,20991,27887,27478,16175,22682, 3640,22681, 3639,28006, 3745,36150,
+14722,16168,31028,14779,14262, 5486, 3092,14788,14271, 5514, 2300,14739,
+14218, 5444, 3337, 3130, 5407,14202,14718, 3108, 5389,14190,14695, 3105,
+ 5386,14188,14693,14733,14211, 5433, 3328, 3090, 5367,14184,14674, 2302,
+ 5285,14115,14519, 2320, 5325,14137,14582,10976,10978, 2315, 5308,14118,
+14556,12287,16679,12187,12185,12167,12213,12211,12145,12210,12220,12171,
+12005,19882,25918,25819,19938,12144,13353,20990,25795,12218,12143,11787,
+16647,11802,11800,11791,11789,12169,12012,11287,12142,12004,11785,11783,
+32625,32624,16645,11772,16644,11535,11333,11771,11770,11769,11768,37781,
+39432,42704,17745,19044,28513,30325,30629,32526,33196,35580,33861,33845,
+31191,31174,35858,38269,11123,14378, 9612,10668,33200,35471,29073,29078,
+36461,36466,35854,38050,28508,30067,30634,32209,19344,21619,17744,37488,
+28512,29885,30628,32037,33195,35064,33860,33844,31190,37929,35857,37722,
+11122,29816, 9611,31846,33199,34888,29072,34947,36460,36465,35853,38020,
+28507,29935,30633,31908,19343,34770,42124,18618,28511,29884,30627,39579,
+33194,35063,33859,39542,31189,31173,41965,37721,26764,13467,24372,10194,
+39541,34887,29071,29077,36459,41964,35852,38019,28506,42123,30632,31907,
+39578,21065,35579,33450,33204,33209,10667, 9684,21618,19515,32208,30827,
+35470,33443,30642,30638,32525,30834,30066,28710,28516,28521,38268,36059,
+30324,28721,19043,17834,14377,11391,35867,35863,38049,36048,35019,33449,
+33203,33208,31845, 9683,34769,19514,31883,30826,34831,33442,37928,30637,
+31978,30833,29910,28709,34946,28520,37607,36058,29852,28720,37487,17833,
+29815,11390,35866,35862,37969,36047,35018,33448,39540,33207,10162,24371,
+21045,39577,31882,30825,34830,39539,30641,30636,39576,30832,42122,28708,
+28515,28519,37606,41963,29851,28719,18603,42121,13429,26763,41962,35861,
+37968,36046,18009,35174,33220,33214,31080,10542,33735,21858, 9872,32383,
+19996,35352,36326,30647,19350,32119,17751,30422,33746,28526,18003,38449,
+12303,30287,36336,18945,28983,15177,35873,35878,19987,38640,18008,35578,
+33219,33213,31079,10666,33734,21857, 9871,32382,19995,35469,36325,30646,
+19349,32524,17750,30421,33745,28525,18002,38448,12302,30323,36335,19042,
+28982,15176,35872,35877,19986,38639,18007,35173,33218,39538,31078,10541,
+39575,21856,24379,32381,39537,35351,36324,30645,19348,39574,17749,42120,
+33744,28524,41961,38447,26910,30286,42119,18944,28981,15175,35871,41960,
+19985,38638,18006,35172,33217,33212,31077,31844,33733,34768, 9870,32380,
+19994,35350,36323,37927,19347,32118,17748,30420,33743,34945,18001,38446,
+12301,30285,36334,37486,28980,29814,35870,35876,19984,38637,35881,43188,
+19019,43115,19000,43043,18937,42904,19125,40860,41464,40864,41531,40856,
+41497,27449,27858,26485,26484,18893,35399,18905,18871,36637, 8640,43490,
+ 8638, 8636, 8632,43488, 8630,27913, 6309,27643, 6199,27650, 6201,27648,
+27317,15071,21781,27319,36291,30114,30113,18035,18034,18843,27630, 6194,
+27198,26411,27628,27627,27626,17953,18752,18873,18877, 6850,14325,14323,
+13562,27200,27195,26544,26498,35410,18842,18840, 7945, 4605,36290,29959,
+29958,18839,26754,26753,18838,30779,28661,28542,28311,32951,38593,37485,
+26198,38808,32719,26208,26206,26210,28413,12590,18544,11602,18501,10103,
+18493,11601,18500, 7875, 7873,27185,26532,26483,27409,27411,26491,27792,
+26530,26719,26489,26712,12815,27808,26482,27790,27795,27794,26070,27380,
+30341,10472,28732,29134,29567,29569,30349,30351,29019,29021,27745,26481,
+26480,25346,25339,25355,38807,32718,26068,26073,25349,25351,25348, 2714,
+26479,25856,26478,25855,26477,25854,26067,26078,32125,19191,26065,26076,
+26476,26475,26072,26080,26131,26136,32145,10040,37484,37483, 4063, 5977,
+22224,15675,18722,38647,38592,36537,38591,26410,26474,26473,26416,26683,
+27293,27228,26245,26662,35635,28328,28327,43141, 8634, 3698, 3417,43138,
+ 8621, 3713, 3441, 4213, 6544, 4218, 6524,40309,21826,15119,24933,20136,
+12548,31819,24935,29131,37427,37426,37408,38126,37407,24931,24929,17280,
+35772,17341,35771, 8954, 8953, 8972, 8971,32782,38780,32780, 9335,38778,
+ 9333,35811,32911,35810,32910,35809,32909, 9436, 9435, 9450, 9449, 8407,
+ 8256,38629, 8415, 8264, 8255, 8406, 8263, 8414,35185,30123,35217,30156,
+35214,30153,35789,40137,14174,32950,32949,32948,32953,35923,39167,35925,
+38697,30195,42782,38646,27407,27788,27787, 8189,35791,12362,12359,11671,
+11668, 8208,38343, 8206,38341, 8147,38291, 8145,38289, 8143,38287,10851,
+27142,10850,27121,10849,27044, 6334, 1523,11177,11175,15347,23665,25199,
+23667,25201,41325,41317,41322,41314,12358,23576,40851,37545,38125,37544,
+37543,37541,41764,40304,28309,28308,28307,43105,18991,28306,28304,28884,
+35642,42567,41159, 9349,33613, 2854,28895, 2849,33611, 2852,28893, 2847,
+13527,26472,11550,36307, 9348,13526,18492,33879,41480,33867,41510,41496,
+41445,41530,41535,43810,43282,43307,37913,41501,41463,13758,43028,41495,
+43007,41529,12582,18534,26682,12589,18543,33877,41478,33870,41514, 4208,
+ 6553, 4263,22580,16060,11642,19693, 6603,11623,25597, 7060,19674,25585,
+ 5684, 2676, 3005, 3140, 4055, 5988, 4207, 6550,20547, 5987,19189,20546,
+ 9831,13525,20545, 9723,40302,40300,40298,38633,31123,25354,25357,40313,
+40315,40312,40311,19187, 2935, 2932, 2975, 2972, 2931, 2389, 2392, 2388,
+38391,12812,38367,38390,38360,10845,23489, 9521,23488,23541,23486,10861,
+35182,30120,10858,12326,35220,30158,12323, 3320, 3318, 3083, 2317,41305,
+27826,27824,27810,30339,28303,30476,21529,28302,30475,21527,28301,30474,
+35418,30472,24979,41370,28299,40542,28298,40374,28297,41301,28504,41303,
+28296,40378,28295,40389, 9517,22223, 9515,22222,28294,30471,15673,28293,
+30470,26087,23485,26085,23484,26089,23634,26143,23482,28291,30468,35840,
+25163,24068,33717,30467,33713,31149,36306,36274,36305,33668,36280,36279,
+33666,41175,33726,30753, 8805, 9754,35271,35600,11567,11566, 8646,35602,
+11561, 8644,40541,43812,40373,43309,40377,40376,43284,40388, 5853,40387,
+35409,30466, 8193,35407,30465, 8192,35381,30464, 8184,35379,30463,35570,
+30461,43352,28290,30460,27624,28289,30459,28287,30457,39372,30625,39369,
+30622,38899,31715,39351,30456,39349,30978,39353,31089,29622,31709,38885,
+31720,38884,30455, 8191,38882,30961,39786,30454,31739,35838,35795, 9519,
+24942,24946,10856,10860,36345,36353,36344,36355,36343,36351,27406,35181,
+30119,35281,30226, 8360, 8356, 8330, 8358,39348,32112,36349,36348,36347,
+35184,30122,28764,41298,25054,40688,35240,30453, 8794,35249,30966,28852,
+35594,28858,28857,35592,35385,30452, 4903,35397,30969,11554,35412,30451,
+24989,41350,37156,36374,38124,38073,32589,11073,42118,18242,16618,38061,
+11079,42117,17959,36254,33491,33503,36103,33681,30912,17872,30766,19973,
+36261,19585,31039,28755,35991,36093,33703,33698,37155,38123,36373,18241,
+37154, 9818,20884,14498,26409,27227,26106,41758,37129,18218,12026,42159,
+18240,12035,42116,35785,38881,32098,33691,33693,33689,22218,12043,13218,
+10294,10292,12028,30542,30450,30538,30449,31151,30448,31161,30447,31163,
+31165,10883,22217, 5329,42155,42974, 8736,42153, 4951,41300,31460,30446,
+31458,30544,31450,30445,30548,30444,30546,30443,30850,30442,31129,30441,
+31171,30440,31177,31167,35657,35781, 5119, 5121,43484,18837,42822,32959,
+28339,32957,28337,10890,10889,35180,30118,10888,35116,30009,32955,28335,
+32956,28336,10886,32142,30439,32107,30438,33826,29060,33828,29062,30848,
+31159,32105,31158,18239,12112,42115,40294,22797,16335,11611,19666,23481,
+11704,19724,23480,11710,19727,23478,11634,19685,23477,11722,19733,23476,
+40292,21574,14298,14322,21593,40290,11726,19737,23475,11202,19384,23474,
+11677,19713,23473,11674,11673,19710,23534,11205,19387,23472,11208,19390,
+23471,11353,19502,23470,11011,19312,23469,11649,19700,23468,12449,20095,
+23467,11007,19309,23466,11630,19681,23465,12445,20092,23464,16116,10909,
+19216, 6507,10843,19185, 7796, 5508, 1553, 6102, 1544,11201,19383, 7799,
+10841,19183, 6769,10917,10916,19222, 6757, 1919, 5507, 5506, 2337,11200,
+19382, 7798, 3099, 5379, 5378, 3456,11204,19386, 7743, 3078, 5354,14173,
+14650,11010,19311, 6602,10930,19231, 7795,10927,10929,19230, 7724,10926,
+19228, 7741, 5302, 2336,11207,19389, 7616,10838,19181,41258,11641,19692,
+41257,10836,19179,41256,16649,22930,25272,11033,19314,25535,11323,19482,
+25545,11004,19307,25874,11315,19476,25895,12442,20090,25866,11468,19595,
+25469,11456,19577,25457,32610,32609,16651,22932,25274,30785,30886,11537,
+11335,11325,19484,25547,25471,19597,11470,16682,12289,16681,25058,22939,
+16691,12141,11331,16598,30781,11329,11767,11766,11320,19480,25541,12003,
+12140,11319,19479,41255,17819,18627,28695,29901,30805,31851,33397,34784,
+34199,34372,31609,31413,36013,37935,11341,13776, 9661,10272,33417,34953,
+29546,29343,36783,36939,36029,37525,28681,29821,30797,31919,19488,21087,
+17818,18651,28694,29922,30804,31892,33396,34847,34198,34371,31608,31412,
+36012,37979,11340,13854, 9660,10330,33416,35031,29545,29342,36782,36938,
+36028,37619,28680,29861,30796,32001,19487,21199,35953,18354,28693,29561,
+30803,31431,33395,34354,34197,34370,35934,31411,36011,36765,28634,12748,
+30745,10011,33415,34214,33340,29341,36781,36937,36027,36957,28679,29325,
+30795,31599,33320,20434,35951,18353,28692,29560,30802,31430,33394,34353,
+34196,34369,35932,31410,36010,36764,28632,12747,30743,10010,33414,34213,
+33338,29340,36780,36936,36026,36956,28678,29324,30794,31598,33318,20433,
+18163,34524,18170,34539,38973,41703,29442,14761,14765,14758,14451,13068,
+10317,20704,13105,42224,24299,30412,43809,43281,43306,38235,27349, 7889,
+14291,14320,14307,14275,27292,32314,26432, 8142,38286, 8205,38340,32311,
+26426,27542, 7973,24301,30414,29621,31708,38245, 2898,34620, 3233,38243,
+ 2890,34618, 3225,38241, 2909,34616, 3245, 2476, 2353,29613,31699,38239,
+ 2333,34614, 2311,38232, 2959,32947, 2997,38230, 2957,33238, 2995,32946,
+ 2920, 3256,38218,33236, 2918, 3254,38216,32945, 2913, 3249,38211,33141,
+ 2911, 3247,38209, 3284, 3458,28841,30957,38225, 2952,33595, 2990,32944,
+ 2906, 3242,38205,33111, 2889, 3224,38171,26471,33619, 2904, 3240,38203,
+33617, 2902, 3238,38201,33615, 2900, 3236,38199, 9347,33603, 2896, 3231,
+38189,33601, 2888, 3223,38170,33599, 2908, 3244,38207,40288, 5473,19177,
+ 6077,19175, 6083,40286, 5510,20671,42202,28668,40774,28870,35518,28876,
+28875,35516, 3026, 2497,12321,35396,30968,43080, 8776,42253, 4974, 9563,
+35780, 9562,35779, 9561,35778, 9560,35777,35621,35776,43187,43525,33087,
+28410, 8381,40344, 6063,40349, 5471, 8656, 8665,35769,35619,43193,43529,
+24924,24922,19170, 6052,40280, 5460,19169, 6094,40279, 5498,40284, 6048,
+40278, 5456,35768, 9554,35767, 9553,42816,42903,33083,28406, 8214, 8219,
+42821,42908,35276,30221,10834,40283, 5465,19173, 6057,40282, 5484,19172,
+ 6072, 4604,35480, 8688,38151, 7004,35486, 8696,38161, 7021,35484, 8694,
+38154, 7019,11715,11706,15672,11667,11713,11702,15669,11664,11699,11717,
+11708, 5397, 3116,14777,14260, 5481, 3113, 5447, 3389,14741,14220, 5446,
+ 3339, 5412, 3500, 3132, 5411,14204,14721, 7329,21927,15249, 5494, 2352,
+ 5372, 3448, 3101, 5382,14186,14691, 2327, 5344,14162,14608, 3077, 5353,
+14172,14646,11648,19699, 6601,35482, 8692,38166, 7017, 5392, 3473, 3110,
+ 5391,14192,14699,23463,43692,43694,24920,38951,22867,16482,33249,28118,
+16479,28586,28115,22864,30710,35901,40584,16114,11661,23661,38948,22861,
+16476,43690,33246,28112,16473,43689,28583,28109,22858,30707,35898,40581,
+25195,23462,43789,43767,24919,23461,43688,43686,24918,16464,28568,30692,
+28588,33251,30712,24853,35903,24812,28590,33253,30714,24855,35905,24814,
+28576,30700,28575,30699,28574,30698,28594,30718,28593,30717,28592,30716,
+23460,26117,23459,26125,25062,24917,25064,24916,23615,26119,23618,26127,
+24915,25159,24914,25161,23458,25068,23457,25070,25378,24913,25384,24912,
+23580,24911,23578,24910,25380,25086,25386,25084,23456,23455,43698,43696,
+43702,43700,24909,24908,23454,28127,23453,28131,28125,24907,28129,24906,
+23452,25073,23451,25076,27214,24905,27040,24904,23584,24903,23582,24902,
+27216,25090,27042,25088, 9897,23617,27212,23825,27038,23807,25508,25507,
+25485,25484,38076,32635,24060,43752,24059,43747,43751,25989,43746,25988,
+16663,38064,23708,23707,28163,28162,28160,28159,25277,25276,33688,11488,
+11501,33695,11465,19593,41254,23833,23813,24901,25514,24900,25491,25516,
+25493,23824,23806,25376,25506,25382,25483,25505,25482,23840,23819,25258,
+25524,25255,25501,25521,25498,16662,40650,40648,12139,16661,17475,16660,
+17494,16708,32634,16655,11765,16654,16668,16665,17463,25268,22928,16640,
+16658,12002,16657,41253,22927,16639,27274,27104, 8615, 2949, 8724, 2967,
+24899,24898, 5711, 3168,27087,27257,39591,39593,39778,39780,24897,24896,
+25305,41442,41415,24895,24981,41405,41436,24894,40670,21283,13733,25304,
+20144,12556,40669,23178,17049,25303,23330,17279,40668,22082,15459,25302,
+21736,14943,40667,22103,15510,25301,21714,14841,31816,38978,12457,20101,
+23723,12456,20100,23722,12455,20099,25853,25930,41147,41165,24893,25153,
+25151,41527,41493,41518,41484,24892,24891,24985,24983,41512,41476,41523,
+41489,24890,24889,29127,37418,38081,38944,38942,25926,25928,41143,41145,
+41161,41163,24888,24887,25157,24316,25155,24308,26445,24886,26435,24885,
+31153,30573, 8606,27241, 8708,27067,24884,11397,24883,19535, 5633,40721,
+ 8611,27268, 8716,27098,24882,13815,24881,21327,27278,27119,15862, 8485,
+22401, 8532,24880,24879,27266,27096,13813, 5014,21325, 5150,24878,24877,
+24305,25080,24314,25078,24876,26430,24875,26443,38381,12808,38372, 9614,
+33240,28553,30852,30588,23810,25510,23829,25487,24874,25489,24873,25512,
+28730,32109,30590, 8604,27239, 8706,27065,25072,11400,25075,19538,23818,
+25523,23839,25500,25257,25497,25254,25520,25114,41379,26145,23677,25211,
+24077,36418,36416,36452,21509,20039,35274,30219,12320,35212,30151,33801,
+29031,33802,29032,12319,12317,12316,12325,33814,29038,29030,31148,29029,
+31147,33804,29034,31169,31146,33818,29042,23805,25504,23823,25481,26115,
+25480,26123,25503,25094,40694,30575,35818,25066,41355,14455,13070,10319,
+20706,13107,42226,34316,10000,34335,34160,17805,17791,20405,11306,35931,
+35950,34178,28631,31377,31577,31392,20421,29288,18326,29307,29527,36724,
+30742,33337,33317,18336, 9654,19444,19455,36899,36743,36918,12737,34315,
+ 9999,34334,34159,17804,17790,20404,11305,35930,35949,34177,28630,31376,
+31576,31391,20420,29287,18325,29306,29526,36723,30741,33336,33316,18335,
+ 9653,19443,19454,36898,36742,36917,12736,34314, 9998,34333,34158,34388,
+36806,31455,29578,35929,35948,34387,28629,31375,31575,31644,20419,29577,
+18324,29305,29525,36980,30740,33335,33315,29358,31643,36979,34229,36897,
+36741,36916,12735,34530,23691,34519,23690,34518,23689,37417,37349,37500,
+37481,37567,37337,37555,33628,33624,33374,33373, 9760, 9764,19763,19759,
+31002,30998,33638,33642,30765,30764,30983,30987,28913,28909,28652,28651,
+36225,36221,28904,28900,17915,17911,11887,11883,35990,35989,36188,36184,
+34783,33502,33372,33371,10271, 9735,21086,19584,31918,30877,34952,33490,
+30763,30762,31850,30911,29820,28754,28650,28649,37934,36102,29900,28792,
+18626,17871,13775,11515,35988,35987,37524,36092,34846,33501,33370,33369,
+10329, 9734,21198,19583,32000,30876,35030,33489,30761,30760,31891,30910,
+29860,28753,28648,28647,37978,36101,29921,28791,18650,17870,13853,11514,
+35986,35985,37618,36091,33500,33499,38464,38679, 9733, 9732,19582,19581,
+30875,30874,33488,33487,30759,30758,30909,30908,28752,28751,32408,32159,
+36100,36099,28790,28789,17869,17868,11513,11512,35984,35983,36090,36089,
+20673,42204,28671,40777,43082, 8778,35236,31145,42255, 4976,12467,15666,
+12584,18536,15665,18529,11600,18499,43684,43683,43682,43681,41521,41506,
+41487,41472,28106,28105,41520,41486,41505,41471,28104,28103,12588,18542,
+35566,30397,17734,29615,31701,29620,31707,11594,11580,11593,11592,13438,
+40317,40319, 2675,11660,19708,41252, 6693,40409,12569,20157,40408,40672,
+12563,20151,40276,40403,40406,12618,42353,20165,42669,40402,40405,40550,
+40548,12621,42356,20168,42672,40274,40272,40554,40552,35279,30224,34631,
+29684,40270,43213,40268,43541,40400,40397,24303,34628,29681,40399,43210,
+40396,43538,32283,11690, 3331,32281,11697,11696,11695,11694,19722, 2733,
+11692,19720, 2731, 6695, 6692,34708,29761,20865,13242,11180,11183,11179,
+11182, 2831,15192,39417,31625,18280,19041,29473,30322,31309,32523,34248,
+35577,34246,34106,31307,31515,36671,38267,12696,14376, 9964,10665,34104,
+35468,29216,29471,36826,36669,36824,38048,29214,30065,31513,32207,20360,
+21617,18318,37584,29511,29813,31361,31913,34295,34944,34300,34148,31356,
+37965,36713,37480,12727,29846, 9992,31873,34152,34767,29271,34991,36876,
+36717,36881,37926,29266,29895,31557,31843,20395,34820,42168,18576,29518,
+29812,31369,39620,34308,34943,34307,39550,31368,31564,42011,37479,26800,
+13352,24374,10138,39549,34766,29279,29517,36889,42010,36888,37925,29278,
+42167,31563,31842,39619,20989,18315,18575,34990,34819,31355,31912,34299,
+34942,34294,34151,31360,31556,36716,37478,21142,21022,18640,18594,34147,
+34765,29265,29510,36880,36712,36875,37924,29270,29894,37964,37583,20398,
+20988,39536,10155,34989,34818,31354,41959,34298,26909,34293,42114,31359,
+31555,39573,31872,24378,21021,26908,18593,42113,29845,29264,29509,36879,
+39572,36874,24377,29269,39535,37963,37582,41958,13391,39547,10137,34941,
+34764,31365,42007,34304,26936,34303,42164,31364,31560,39617,31841,24384,
+20987,26935,18574,42163,29811,29275,29514,36885,39616,36884,24383,29274,
+39546,37923,37477,42006,13351,38766,32717,41738,39446,26352,38806,41818,
+39493,26389,32819,38805,32818,38804,32817,41744,39452,26362,38765,41826,
+39501,26397,32716,38764,32715,41740,41820,23329,39495,17278,39448,26391,
+26354,23177,24271,17048,24282,41746,41828,23176,39503,17047,39454,26399,
+26364,23328,24276,17277,24285,24278,26367,18312,19039,29506,30320,31351,
+32521,34285,35575,34290,34140,31346,31552,36705,38265,12724,14374, 9989,
+10663,34144,35466,29261,29502,36866,36709,36871,38046,29256,30063,31548,
+32205,20392,21615,18311,37476,29505,29843,31350,31955,34284,34987,34289,
+34139,31345,37922,36704,37580,12723,29810, 9988,31840,34143,34816,29260,
+34940,36865,36708,36870,37961,29255,29907,31547,31870,20391,34763,42112,
+18591,29504,29842,31349,39571,34283,34986,34288,39534,31344,31551,41957,
+37579,26762,13389,24370,10153,39533,34815,29259,29501,36864,41956,36869,
+37960,29254,42111,31546,31869,39570,21019,18310,18590,34939,34762,31348,
+31954,34282,34985,34287,34138,31343,31550,36703,37578,21080,20986,18621,
+18573,34142,34814,29258,29500,36863,36707,36868,37959,29253,29906,37921,
+37475,20390,21018,39491,41816,18351,18625,29558,29899,31428,31849,34351,
+34782,34367,34194,31408,31606,36762,37933,12745,13774,10008,10270,34211,
+34951,29338,29543,36934,36778,36954,37523,29322,29819,31596,31917,20431,
+21085,18350,18649,29557,29920,31427,31890,34350,34845,34366,34193,31407,
+31605,36761,37977,12744,13852,10007,10328,34210,35029,29337,29542,36933,
+36777,36953,37617,29321,29859,31595,31999,20430,21197,39509,41834,39497,
+41822,39416,39422,36636,26312,40618,12761, 9997,34313,34157,34332,17789,
+17803,11304,20403,35947,35928,28628,34176,31574,31374,20418,31390,18323,
+29286,29524,29304,30739,36722,33314,33334, 9652,18334,19453,19442,36740,
+36896,12734,36915, 9996,34312,34156,34331,17788,17802,11303,20402,35946,
+35927,28627,34175,31573,31373,20417,31389,18322,29285,29523,29303,30738,
+36721,33313,33333, 9651,18333,19452,19441,36739,36895,12733,36914,26314,
+40623,12765,40108,39363,34244,18711,34242,34102, 9962,32204,20358,35465,
+31511,10662,34100,21614,31305,38045,31303,20356,29212,18278,29210,35574,
+36667,19038,29469,14373,18276,38264,12694,30319,36822,36665,36820,22228,
+34292,18709,34297,34146, 9991,32202,20394,35463,31554,10660,34150,21612,
+31353,38043,31358,20397,29263,18314,29268,35572,36711,19036,29508,14371,
+18317,38262,12726,30317,36873,36715,36878,22226,26350,24269,27187,27023,
+34349,33623,34365,34192,10006, 9763,20429,19758,31594,30997,34209,33641,
+31406,31604,31426,30986,29320,28908,29336,29541,36760,36220,29556,28899,
+18349,17910,12743,11882,36932,36776,36952,36183,34348,33627,34364,34191,
+10005, 9759,20428,19762,31593,31001,34208,33637,31405,31603,31425,30982,
+29319,28912,29335,29540,36759,36224,29555,28903,18348,17914,12742,11886,
+36931,36775,36951,36187,34330,18612,34311,34174, 9995,31998,20416,35028,
+31572,10327,34155,21196,31388,37616,31372,20401,29302,18332,29284,34844,
+36738,18648,29522,13851,18321,37976,12732,29919,36913,36720,36894,21052,
+34329,18579,34310,34173, 9994,31916,20415,34950,31571,10269,34154,21084,
+31387,37522,31371,20400,29301,18331,29283,34781,36737,18624,29521,13773,
+18320,37932,12731,29898,36912,36719,36893,20995,39415,36635,36645,36634,
+18150,32346,18876,18918,24312,24295,43680,43679,43678,43677,26441,26422,
+24311,28102,24294,28101,28100,26440,28099,26421,29619,31706,35564,30395,
+24748,12785,38909,17715,34572,32943,34565,32942,33109,32941,33107,32940,
+33462,32939,33464,33255,33791,32938,33839,32937,26996,33854,42329,33231,
+ 4860,26990, 4869,42075, 4812,31180, 4889,42318,30662,30658,42070,31184,
+42110,29066,28535,28538, 4851,41955, 4868,29084, 4811,42109, 4886,26761,
+41954,35888,26760,36447,33841,33229, 6909, 6154,33836,33460,36639,34574,
+33128,35369,32936,35343,32935,35345,33257, 4929, 4853, 4801, 8174, 8594,
+26661,35341,33835,20883, 4403,27646,33832,36456,29081,34567,33172,36633,
+33793,33174,35371,33176,20032, 6170,31135, 7934,31122,21877,36400,15196,
+38669,38458,32136,32394,36405, 8854,12314, 8759,21876, 7933,32393,31121,
+38668,12313,36399,36404,32135, 8758,15195, 8853,38457,31134,20031, 7031,
+27226,35360,33777, 6907, 6152,27545, 7976,27376, 7910,25374, 5783,40720,
+ 5590,40719,27247, 8608,27078, 8710,11395,25577,19533,25579,25372,34570,
+33459,36372,38122,40107,18793,26105,38657, 5299, 6951, 5277, 6942, 5207,
+35783,36420,35787,36422,35213,30152,35211,30150,35122,30023, 8388, 8378,
+ 8328,24307, 8365,36415,36414,35216,30155,26359,24273, 8422, 8428, 5279,
+ 6944, 5209,32415,39946, 7623, 5315,32412,39943, 7620, 5312,18875,32509,
+16150, 2984,35426,30960,32517,16139,30869,11425,25477,25461,30880,11462,
+30866,11422,39427,30599,35836,36440,36444,10217,34885,14438,42333,10393,
+20892,14503,42335,10413,20894,10266,34883,20882, 5976,26660, 7452,40393,
+22765,40392,42558,17686,24994,24996,38675,37474,26104,38673,37292,41297,
+41296, 5257,41295,42384,35378,31144, 7315,41309,22694,41308,42557,18046,
+26133,26138,42926,17689,25000,24998,26707,26706,11659,19707,23731,16164,
+22675, 3628,22673, 3626,27999, 3736,16172,22678, 3635,22677, 3634,28001,
+ 3741,36160,14714,11656,36158,14704,11128,11130,11151,11166,11150,11165,
+18238,11137,11136,11156,11171,11139,11158,11173,43676,43675,40426,40422,
+23861,43674,43673,25549,11054,28809,30936,11052,11058,24334,28821,28828,
+30949,37997,11056,37655,19527,24456,19529,24467,17847,28737,30847,28736,
+30846,17852,24463,38607,24789,38434,22436,24452,22433,24449,18761,32104,
+30104,18766, 9511,24629,23450,22216,19145,21808, 9502,24823, 9509,24627,
+ 9506,24624,23447,22213,10827,22210,19142,10825,27623,21805, 9499,24821,
+12241,24413,11978,11977,24351,37674,12240,38014,12239,24346,11976,11975,
+24408,38009,12238,37669,36177,23963,36172,23958,34838,10321,34735,29788,
+34724,29777,29106,29096,34761,10289,12275,18486,39272,17971,34802,10265,
+12256,24403,12237,12236,24341,37664,12254,38004,12252,24339,12235,12234,
+24401,38002,12250,37662,36165,23951,36167,23953,34650,29703,34652,29705,
+25917,25916,25915,25914,25913,25912,12270,24399,12269,12268,24337,37660,
+12267,38000,36163,23949,34648,29701,39271,39270,39269,39268,39614, 9840,
+39611, 9837,39311,39313,15815,18446,15664,18407,25958,25957,39326,39325,
+15938,18403,11852,24415,11851,11850,24353,37676,11849,38016,11848,24410,
+11847,11846,24348,37671,11845,38011,36179,23965,36174,23960,23948,36162,
+34737,29790,34726,29779,23955,36169,25637,25636,25635,25634,39114,39113,
+39112,39111,39110,39109,25665,25663,12587,18541,11879,18498,14047,18440,
+25702,25701,39166,39165,14090,18402,39108,17936,11844,24405,11843,11842,
+24343,37666,11841,38006,34806,10216,34670,29723,34760,10233,11867,24398,
+11866,11865,24336,37659,11864,37999,34647,29700,10477, 2940,32467,16149,
+32466,16148,22209,30149,27815,22206,30146,27818,21516,30358,29052,42781,
+ 5262,29055, 5650,32406,39962, 7642, 5292,32403,39959, 7639, 5289,30355,
+31454,31143,27276,27113,15961, 8496,22495, 8542,26122,26114, 9817, 9816,
+40359,40358,40357,38632,36068,38628,36066,25364, 5587,25362, 5585,27744,
+35164,27741,32167,30182,43039, 8749,28286,30437,28285,30436,28557,30676,
+23626,25167,28284,30435,15392,38911,22203,15663,28480,30608,28283,30434,
+13472,38888,38891, 9556, 9558,32073,17462,28408,30540,28282,30433,28281,
+30432,28546,30667,23599,25139,28280,30431,32743,17461,17460,16952,32742,
+32889,17532,32841,17492,32823,28445,30560,26002,23327,17046,17276,23175,
+41237,32840,32328,32320,26000,23174,17275,17045,23326,41235,16461,22851,
+41251,16456,22848,41249,14757,14744,14494,14440,28961,31061,24084,26022,
+ 9874, 9881,41268,41241,15171,24103,26041,24102,26040,24101,26039,24100,
+26038,24099,26037,41261,24098,26036,24096,26034,24095,26033,24094,26032,
+28970,31070,24093,26031,17457,14547, 9868, 9879, 9866, 9877,28967,31067,
+24111,26049,15173,41263,24108,26046,39341,22202,15662,28964,31064,24106,
+26044,28960,31060,24082,26020, 9865, 9876,32852,17456,17548,32851,17455,
+32816,32785,32916,17531,17044, 9586, 9584,32333,32325, 9591, 9589, 9595,
+ 9593,28279,30430,12843,38913,22201,15661,28482,30610,40679,23173,17043,
+25319,23325,17274,40677,23324,17273,25317,23172,17042,32839,32327,32319,
+13094,11464,19592,25465,14477,13090,14461,13088,11377,11369,28713,30829,
+23737,25323,13425,39016,38994,39015,38993,39014,38992,39013,38991,39012,
+38990, 9676, 9671,17454,28706,30823,28704,30821,11381,11373,13427,25313,
+22200,15660,11379,11371,11376,11368,28703,30820,28278,30429,36332,17990,
+14546,14542,14497,14496,22199,15659,17992,36342,13093,13092,22198,15658,
+36055, 2866, 2829, 3638, 3744, 3499, 3633, 3740, 3484,11658, 3631, 3738,
+ 3477,11670,11655, 5719, 3176, 5341, 4133, 4211, 6542, 5449, 3341, 6652,
+ 3662, 3115, 5396,14196,14706, 3112, 5394,14194,14701,42953, 8732,11657,
+19706, 7754, 3118, 5400, 5399, 3481,11676,19712, 7757,11654,19704, 7752,
+ 5403, 3483, 3120, 5402,14198,14713,27282,27129,15657, 8469,22197, 8525,
+25605,25607, 5438, 3330, 5347, 2330, 4205, 6539, 4204, 6536, 4216, 6535,
+18237,30015, 5335,42108, 5656,42107, 5334, 4130, 4202, 6534, 9809, 9807,
+12024,12022,26008,26705,31206,13483,12498,43672,43671,41432,41401,28098,
+41431,41400,28097,12417,12474,37392,41411,10446,37390,41407,43005,41462,
+12490,13482,12473,13478,12472, 4325,13891,13909,41113,11025,11027,11024,
+41934,41909,41932,41907,41930,41905,43557,43224,41928,41903,25633,26470,
+39107,22052,15418,25818,26704,10264,10263,10262,10261, 9791, 9790, 2808,
+12838,12830, 2417, 2470, 2512,26469,25852,26468,26467,26466,26465,12840,
+41950,41925,41947,41922,41942,41917,41939,41914,15417,22051, 7469,12848,
+12847,12835,26703,26702,26701,26700,26699,25611,31367,29516,42166, 4823,
+42009, 4867,26799, 4810, 4873,34306,36887,42106,26907,41953,31562,29277,
+34302,26934,42162, 4821,42005, 4866,31559, 4809, 4871,31363,29273,42105,
+29513,41952,26759,36883,13383,12952,13474,12951,13042,12950,13020,12949,
+14487,15161,13350,13349,20985,20984,27892,27483,13348,20983,25782,13347,
+20982,25206,12948,12947,20544, 4262,12946,12945,26464,14072,26566,26463,
+14046,26580,26462,18439, 4603,14071,13524,14070,18453,18438,17861, 4657,
+26461,17863,13626,18471,14057, 4633,13523,14045,22196,21308,39164,39106,
+39324,34716,29769,10260,10259,10258,10257,10256,10255,13793,13786,13790,
+13783,10254,10253,10252,10251,42104, 9370,42103, 4943,42102, 8891,42101,
+ 4942,42100, 5521,42099, 4941,42098, 4940,42097, 5861,42096, 5548,42095,
+ 4939,42094, 4938,42093, 5224,39607, 6179,39604, 6176,39600, 5011,39597,
+ 5008,32103,30103,11072,11078,12111,13800,13797,39315,12034,12944,13018,
+26606,13076,13075,13600,32387,18401,26557,32345,32365,14060,26556,14059,
+26555,34072,34074,35363,33779,32386,32385,32344,32363,14015,13566,18400,
+18399,32343,32360,41729,41726,14014,13565,32342,31867,18491,10102,13908,
+18497,32463,16138,39646,39105,39267,39266,39104, 8395,38401, 6355,41721,
+ 2806,14942,14940,15509, 2419, 2472, 2515,15507,38567,30014,30070, 6192,
+21609,14364,18236,30013, 5520, 4129,14974,15523,13346,13345,13381,13344,
+13040,13343,14489,15163,24034,23979,13415,25700,25956,25911,18771,18770,
+14056,10057,10087,17950,18452,18437,18457,10079,14044,17955,25910,25632,
+25631,30112,25667,14089,14069,15937,24022,15654,15908,17948,18398,18397,
+32341,15653,30111,12274,11878,12266,12265,12264,12263,11863,11862,11861,
+11860,11840,11839,11838,11837,11836,11835,11834,11833,11974,11973,12233,
+12232,11832,11831,11830,11829,12231,12230,11972,11971,12229,12228,12248,
+12246,12260,12258,12227,12226,32071,25909,12471,23983,23975,13362,39031,
+39034,23974,23973,24018,13370,24017,25987,23323,17041,17272,23171,41218,
+41216,23170,17040,25985,23322,17271,16688,16705,41214,41212,41210,43228,
+43561,41208,41207,43742,19608,11484,16702,22946,41206,41222,23193,17068,
+25991,23345,17302,41220,32632,32631,32629,32628,24058,43750,43745,25983,
+24057,43749,43744,25982,16694,16693,16711,11413,41203,43739,19605,11481,
+16698,22943,41202,11444,12020,11198,11196, 2533, 5649,11154,11169,19364,
+19373,23443,23442,25123,25132,17605,17604, 9495, 9494,11149,11164,19361,
+19370,23441,23439,25120,25129,17603,17601, 9493, 9491,11276,19424,25193,
+11263,28096,22842,19411,28093,16450,25186,22839,16447,14152,14598,14154,
+14600,40573,43670,43669,40565,11273,19421,25190,11260,28090,22836,19408,
+28087,16444,25183,22833,16441,40575,40567,11622,11639,19673,19690,23659,
+23654,25584,25596,17786,17781, 9645, 9639,40577,40569,11148,11163,19360,
+19369,23657,23652,25119,25128,17784,17779, 9643, 9637,11628,11646,19679,
+19697,23437,23436,25589,25601,17599,17598, 9489, 9488,25173,21913,15232,
+25175,22538,16001,12943,12942,20543,20542,27895,27486,11632,11651,19683,
+19702,23644,23642,25591,25603,17769,17767, 9618, 9616,11621,11638,19672,
+19689,23435,23433,25583,25595,17597,17595, 9487, 9485,24843,24802,27885,
+27476,24840,24799,27882,27473,11280,11267,19428,19415,24847,24806,11243,
+11222,11278,11265,19426,19413,24845,24804,11247,11226,11246,11225,11245,
+11224, 9633, 9626, 9631, 9624, 9630, 9623, 9629,22193,22192, 9622,11609,
+19664, 6702,11613,19668, 6646,11653,10814,19162, 2877,11724,19735, 6704,
+11720,19731, 6648,12357,10807,19156, 2750,35666,14645,35664,14654,14724,
+11679,19715, 6691,35668,14649,10928,10937,12356,22619, 3566,27955, 3703,
+22617, 3564,27953, 3701, 3642, 3747, 3503, 3652, 3754, 3510, 3650, 3752,
+ 3508,12361,10908,19215, 2747,10907,19214, 2708,10905,19212, 2706,12355,
+22624, 3568,27957, 3705, 3648, 3750, 3506,10913,19219, 2711,36153,14644,
+ 3409, 2351,16161,22670, 3623,22669, 3622,27996, 3733, 3621, 3732, 3472,
+36155,14698, 5721, 3178,11637,11620,19688,19671,25594,25582, 6644, 2752,
+ 7104, 3068, 5757, 3211,22609, 3556,27948, 3691, 3647, 3749, 3505,11625,
+19676, 2678,14720,14712,14697,12350,20053, 6708,10920,10912,19224,19218,
+24965,24961, 6625, 2710, 7088, 3038, 5725, 3182,14643,11645,11627,19696,
+19678,25600,25588, 6598, 2670, 7057, 3002, 5681, 3137,11643,11624,19694,
+19675,25598,25586, 6604, 2677, 7061, 3006, 5685, 3141, 6665,11636,11619,
+19687,19670,25593,25581, 6597, 2669, 7056, 3001, 5680, 3136, 7420, 8000,
+ 6079,22010,27569, 1609,15345,28036, 1696,16260,22730, 1661, 5493, 1546,
+ 6090, 1536,14782,14264, 5488, 3076,11352,19501, 6767,11351,19500, 6759,
+ 7423, 8002, 6081,22012,27571, 1593,15349,28040, 1694,16262,22732, 1659,
+11360,11358, 4196, 6563, 4559, 2510, 5632, 6430, 6983, 5538, 5417, 3315,
+ 2532, 5648, 6454, 6991, 5552, 7418, 7998, 6076,22006,27567, 1615,15341,
+28034, 1703,16258,22728, 1668, 7429, 8005, 6096,22015,27574, 1945,15354,
+28043, 2010,16268,22736, 2045,11018, 7431, 8007, 6100,22017,27576, 1943,
+15357,28046, 2008,16271,22738, 2043, 7354, 7956, 6008,21954,27522, 3450,
+15280,27974, 3718,16127,22646, 3599,11022, 7356, 7958, 6010,21956,27524,
+ 3452,15282,27977, 3720,16129,22648, 3601, 3219, 5763, 3215, 5759, 3217,
+ 5761,12345, 7373,21966,15294,12347, 7375, 7969, 6025,21968,27538, 3512,
+15296,28009, 3756,16192,22687, 3654, 6020, 3468, 7964, 3728,27533,27992,
+ 7367, 3617,21962,22665,15290,16157,11605,11607, 6022, 3470, 7966, 3730,
+27535,27994, 7369, 3619,21964,22667,15292,16159, 7212, 7880, 5884,21812,
+27338, 1956,15096,27654, 2021,15695,22246, 2056,15652, 7176, 7863, 5878,
+21771,27307, 1958,15057,27622, 2023,15651,22191, 2058, 5882, 1979, 7878,
+ 2086,27336,27652, 7210, 2119,21810,22244,15094,15693,15650, 5877, 1981,
+ 7862, 2088,27306,27621, 7175, 2121,21770,22190,15056,15649, 5903, 1972,
+ 7898, 2079,27364,27706, 7254, 2112,21835,22345,15128,15791, 5905, 1970,
+ 7900, 2077,27366,27708, 7256, 2110,21837,22347,15130,15793, 7277, 7914,
+ 5937,21844,27383, 1947,15150,27748, 2012,15903,22442, 2047, 7279, 7916,
+ 5939,21846,27385, 1942,15152,27751, 2007,15905,22444, 2042,11579,15682,
+15954,15648, 7174, 7861, 5876,21769,27305, 1951,15055,27620, 2016,15647,
+22189, 2051, 7225, 7887, 5893,21818,27346, 1941,15107,27681, 2006,15745,
+22304, 2041, 5965, 1995, 7927, 2103,27417,27801, 7292, 2136,21871,22489,
+15188,15956, 5967, 1997, 7929, 2105,27419,27805, 7295, 2138,21873,22492,
+15190,15959,15725,15646, 5875, 1974, 7860, 2081,27304,27619, 7173, 2114,
+21768,22188,15054,15645, 5898, 1969, 7893, 2076,27359,27701, 7249, 2109,
+21830,22340,15123,15786, 5963, 1993, 7925, 2101,27415,27799, 7290, 2134,
+21869,22487,15186,15953, 5975, 2335, 1930, 5492, 3095, 5371, 1929, 5238,
+ 4396, 6018, 3466, 7962, 3726,27531,27990, 7365, 3615,21960,22663,15288,
+16155,15644, 5874, 1989, 7859, 2097,27303,27618, 7172, 2130,21767,22187,
+15053,15643, 5896, 1991, 7891, 2099,27357,27699, 7247, 2132,21828,22338,
+15121,15784, 5901, 1987, 7896, 2095,27362,27704, 7252, 2128,21833,22343,
+15126,15789,40964,40969,11764,11763,12001,12000,19881,19880,27891,27482,
+25817,25816,22535,21910,15998,15229,11762,11761,19755,19754,27894,27485,
+25630,25629,22537,21912,16000,15231,40905,40903, 9789, 9788,40901,40899,
+40897,40896,40966,40971,40909,40907,40895,40894, 6556, 2584,10923,19227,
+ 7632, 5986, 2350, 6894, 5573, 5343, 2349, 6532, 2574, 6531, 2573,11135,
+ 5333, 2323, 6530, 2572, 6538, 2576, 6558, 2586, 6548, 2579, 6523, 2567,
+ 6552, 2581,42955,43330,42965,43372,42963,43370,43386,42977,43388,42979,
+43328,42952,27399,27780,18424,10069,27918,27458,27867,27441,27850,27237,
+18451,10078,26723,26534,25881,26460,25851,25613,25872,25850,25533,33674,
+28935,33476,28743,34646,29699,15642,22186,10387,20541,25975,33672,28932,
+25970,25973,25724, 6489, 6488,22185,16713,32639,32637,35179,30117,23822,
+35131,30072,15714,22269,15641,22184,15819,22373,15848,22391,12098,15640,
+22183,22249,16565,32569,32571, 9719,33478,28745,23832,25719,25969,25718,
+34680,29733,14043,18436,14466,14392,25879,25878,39323,17980,39257,17970,
+39317,17978,26434,29669,40064,43549,26428,39091,17935,39163,17943,39090,
+17934,39625,18600,34033,34028,34031,32368,15883,33670,28930,41658,41677,
+41679,39052,40789,10443,20697,10475,20687, 6684, 6686,10479,20540, 6681,
+ 6680,18396,10056,14100,18395,32340,15639,21550,16438,32542,32541,22717,
+16437,32540,32539,15638,22182,35542,14642, 7787, 7786,10643,19009,10642,
+24512,19008,24672,12068,19901,24016, 6774, 6773,15637,22181,34007,34006,
+41647,41646,27847,27438,26554, 9787, 9786, 9785, 9784,43226,43559,43555,
+43222,25849,25610,26004,26007,15109,14390,26698,25609,10775,34837,15977,
+15208,22514,21889,27846,27437,15976,15207,27398,27397,21864,21863,22513,
+21888,27779,27778,15181,15180,27845,27436,22476,22475,15944,15943,24033,
+24032,23978,23977,27844,27435,22564,22563,16041,16040,27843,27434,21895,
+21894,15214,15213,27842,27433,22520,22519,15983,15982,15206,21887,15205,
+27865,21886,27456,27841,27432,21015,21014,13387,13386,27840,27431,20628,
+20627,13030,13029,15204,21885,25773,12104,12103,11744,11743,12094,12096,
+10779,34810, 9700,23972,23971,27861,27452,20981,20980,13342,13341,11739,
+11738, 7942, 7940,10724,10721,23970,23969,23982,24015,23968,23967,24014,
+23981,24013,24025,24027,24012,12070,27864,27455,22512,22511,15975,15974,
+27863,27454,20636,20634,13035,13032,24511,24671,19132,19131,10760,10759,
+10732,10735,24516,24676,19106,19108,10731,10734,24510,24670,19113,19112,
+10741,10740,24509,24669,19062,19061,10684,10683,10781,34759,15212,21893,
+25753, 7947,10429,10571,18816,18957,24508,24668,10426,10568,24505,18813,
+18954,24665,27870,27461,21901,21898,15220,15217,27873,27464,22526,22523,
+15989,15986,10439,10588,18828,18964,24526,24686,10437,10586,24524,18826,
+18962,24684,11737,11736,11945,11944,10596,10595,11735,11734, 9849, 9848,
+12067,12066,14142,14587, 9783, 9782,12065,12063,19900,19898,25848,25846,
+24011,24009,17969,17967, 9847, 9845,27876,27467,20539,20538,12941,12940,
+15223,21904,25776,12061,12060,14139,14584,12117,12115,19916,19914,25887,
+25885,24044,24042,17976,17974, 9858, 9856,11432,19557,25411,28147,22914,
+16602,41080,11934,19847,25742,28084,22830,16436,12222,12284,16672,12217,
+12215,41025,43668,11931,19844,25739,28081,22827,16433,11412,41027,11312,
+19473,25900,25247,19933,12130,41029,11109,19341,25898,25106,19931,12128,
+12154,19940,25920,28156,22923,16635,12183,19958,25945,25943,19956,12181,
+12158,19944,25924,25951,19964,12197,11798,19788,25675,25673,19786,11796,
+11776,19772,25641,25639,19770,11774,24992,20537,12939,12938,20536,25208,
+12059,11760,19753,25628,25627,19752,11759,11818,19804,25696,25688,19797,
+11808,11820,19806,25698,25690,19799,11810,40597,40758,40595,40594,11733,
+11449,11453,19574,25452,28145,22912,16597,12058,11816,19802,25694,25686,
+19795,11806,40639,41075,40637,11758,16629,11108,12193,11999,19879,25908,
+25815,19937,12138,12206,12205,12038,11757,19751,25785,25626,19870,11960,
+12937,20535,25784,25002,20534,12936,12057,43728,43725,32603,11411,19550,
+25402,28149,22917,16605,23999,25793,23996,25790,11938,19851,24003,11913,
+11936,19849,24001,11917,11916,11915,12045,12042,13120,15165,12156,19942,
+25922,25823,19886,12009,12122,19926,25891,25643,19774,11778,12125,19928,
+25893,25625,19750,11756,11815,32602,30882,43667,40537,12120,19924,25889,
+25693,19801,11814,11107,12033,12192,19962,25949,28154,22921,16628,12191,
+19961,25948,12190,19960,25947,25839,19892,12032,12296,19991,26015,12292,
+27396,21862,19981,27777,15179,26011,22474,15942,15399,12056,12846,12547,
+17076,15466,12055,15522,39256,39255,39254,39253,39252,39251,39263,39265,
+39250,39249,39248,39247,41047,41046,41059,41061,41051,41045,41043,41042,
+41041,41040,41039,41038,41037,41036,41035,25752,22562,16039,25751,22518,
+15981,25750,21013,13385,25749,20626,13028,13044,20642,25772,11943,12102,
+11742,12092,41054,41053,41056,12137,41034,14685,12136,11996,25761,20979,
+13340,11732,12162,25907,17091,15471,15526,39246,19972,12273,12354,17039,
+15458,15506,25771,22510,15973,24007,19896,12053,12090,24029,19903,12089,
+24006,19895,12052,24005,19894,12051,15407,12851,41065,41064,41063,41070,
+41068,41049,12119,41032,25779,22529,15992,11924,12041,41078,41073,11731,
+11311,19472,25246,28144,22911,16596,12050,25764,20533,12935,12049,12100,
+19908,25863,12189,12110,11106,19340,25105,28153,22920,16627,12109,19912,
+25883,12262,11859,17316,14861,11730,14973,14817,11729,12834,12408,39101,
+39103,39089,39088,39087,39086,39093,39095,39085,39084,39125,39121,39124,
+39120,40887,40886,40885,40884,40883,40882,40927,40893,40881,40880,40879,
+11755,40878,14710,14683,11754,11753,25624,25623,14807,12832,39083,20489,
+12859,39082,20052,12349,39081,21547,14236,39080,39079,43776,43805,39078,
+40447,43732,17270,14840,14939,17396,14901,15027,12225,12244,40915,40914,
+40913, 9781, 9780,11077,40876,40925,40891,40889,40936,40934,39151,39147,
+39150,39146,11813,11812,40932,40930,40938,14394,11970,12224,40944,40943,
+40942,11828,11827,40940,11826,40911,40947,39308,39307,39140,39139,11752,
+19749,25622,25621,19748,11751,14389,39077,39076, 9722, 9721,12135,19936,
+25814,25906,19878,11995,12934,13377,12967,13339,39117,39116,39149,39145,
+39154,39153, 9830, 9829,13375,12933,13338,12970,40737,40739,40734,17453,
+16185,16111,14676,12161,12134,12133,19935,25905,25813,19877,11994,12179,
+11794,11750,11749,16595,11439,11438,19567,25441,15755,17269,15754,15753,
+25531,25446,25408,19555,11420,25620,26459,25475,25474,25473,19599,11474,
+25445,25444,19570,11442,25406,19553,11418,25399,19547,11408,16959,17482,
+13265,13337,15636,39056,22178,15634,28773,30900,39099,39097,39119,39123,
+39075,39074, 9703, 9705,17452,28766,30894,28763,30892,28762,30891,12175,
+19951,25937,25837,19890,12018,40756,16626,11529,39135,39137,14641,11793,
+19784,25671,11748,19747,25619,12932,20532,25424,12048,11528,11522,11747,
+19746,25618,11780,19776,25645,12178,19954,25941,11436,19565,25426,11993,
+11992,19876,19875,27860,27451,25812,25811,22516,21891,15979,15210,25844,
+30888,11476,30863,11415,25810,12017,12016,19889,19888,27839,27430,25836,
+25835,22509,21884,15972,15203,25834,25940,19953,25939,19544,25396,25395,
+25617,19745,25616,19562,25420,25418,25647,19778,25649,19560,25416,25414,
+25670,19783,25669,19543,25394,25393,34715,29768, 1823, 1805,12576,24366,
+ 1065, 1012,24432,38030,12599,37738,35076,34899,38032,37740,24173,22266,
+24434,21419,27315,26681,20922,13278,20920,13276,29112,20926,13281, 1859,
+ 1842, 1150, 1140, 9932,39742, 9931,39741,24819,39740,34742,29795,13907,
+18540, 1482, 1476,12573,24363,12596,37734, 1062, 1009,24428,38026,12611,
+42344,12595,37733,35078,34901,38034,37742,24175,22274,24436,21423, 9930,
+39739, 9929,39738, 9926,39729, 9925,39728,24831,39727,29130,37421,29129,
+37420,29099,29109, 1469,36495,37425,37424,37423,12586,18539,12624,42360,
+20171,42676, 1479, 1473,12626,20173,42362, 1481,42678, 1475, 8054, 9922,
+39720,29125,37415,38037, 1149, 1139, 1152, 1142,12620,20167,42355, 1145,
+42671, 1135,35453,39526,38500,38702,24594,22314,41882,29647,27291,27290,
+27617,27314,27289,12795,30387,38366,30408,38358,38363,38365, 2930,38357,
+ 2387,37255,29642,37254,29641,37253,29640,19022,43201,30416,38370,27663,
+37246,36144,37245,38299,40063,31679,40062,31678,31738,31737,31705,35446,
+31723,24604,15633,41888,29654, 8044,31735,38376, 2386,35443,31719,35442,
+31718,32516,16284,32479,16283,35456,39528,38504,38704,24596,22316,41884,
+29649,24601,29658,41890,15385,37241,37244, 1421,40058,31676,40057,31675,
+38385,12811,24756,12793,29602,30390,38389,38388,29600,29596,29618,31704,
+34636, 1433,29689, 1438,43219,43551,24599,29653,41887,15383,24598,29652,
+41886,15382, 1285, 1418, 8050,38379,12806,24754,12791,24750,12787,38378,
+38384,12810,38375,38387, 1306, 1294, 1303, 1291,29617,31703,29612,31698,
+34634, 1429,29687, 1436,43217,43548,34630, 1300,29683, 1288,43212,43540,
+30964, 3798, 3778, 3800, 3780,35425,30959,32462,16137,32461,16136,36652,
+34579,34586,36650,34577,34584,34085,29464,31470,29585,31656,31506,29370,
+29462,31468,29583,31654,31504,29368,36644,21875, 7932,32392, 5254,31444,
+20450,38667,12312,36398,36403,31443,31624,36800, 8757,12755, 8518,15194,
+ 8852,38456, 8493,31120,31133,36972,36799,36971,12754,32134,20030,31623,
+ 6169,20449, 7030, 8702, 8337,38763, 9313,41293, 8934,36480, 8701,43062,
+ 8761,18031, 8593, 8173,38803,36371,36370,36369,18030,18029,18028,27225,
+41287,29017,38339, 8204,38308, 8169,34386,32391,34385,34228,31132, 7931,
+33774, 8517,31642, 8756,34227, 5253,36397,31641,38666,35366,35201,38455,
+33771,29576,36805, 6168,29575, 8492,36402, 8851,29015, 7029,36978,36804,
+36977,30301, 8061,41292, 7297,38121,38120,36368,18792,38119,36491,38118,
+38117,38116,31119,31118,41283,18027,41285,18033,27911,27641,42858,42857,
+26103,35204, 5619,36383, 5616,36380,24771, 7553,40207, 6407,31301,24617,
+34240,40205,34238,34098,31299,39906,36663, 7199,39905, 6221,43351, 7551,
+34096, 6406,29208,43349,36818,36661,36816,42721,29206,27330,42720, 7197,
+27172, 6220,24769, 7550,40204, 6404,31297,24616,34236,40203,34234,34094,
+31295,39903,36659, 7196,39901, 6218,43348, 7549,34092, 6402,29204,43347,
+36814,36657,36812,42718,29202,27329,42716, 7195,27170, 6216,34504,30404,
+34501,30401,18155,41645, 6885, 6148,41642, 7307,41673,41778,22311,41672,
+22818,41641,22547,41640,22332,41639,26348,26380,22545,41668,18159,41675,
+38227, 2955,34005, 2993, 2916,38213,34004, 3252, 2894,38183,34025, 3229,
+ 2887,38169,34020, 3222, 2627, 2643,38824, 9409,41720, 9218,36476, 2626,
+41719, 2595, 2647, 2634,23169,18235,22102,18234,18217,21766,22081,18233,
+37188,18232,18231,18230,18216,21765,21923,18229,18215,36632,14274,35340,
+34569,20455, 2653,31640,31453,36976,12760,36803, 2617, 8060, 8540, 8244,
+38393, 6849,41718, 6440, 2625,36148, 8149,38297,41717, 3792,18228,18227,
+ 6920, 6161,18226,18225,18224,18223,21921,18222,18221,41757,26415,41756,
+26414,20448, 2591,31622,31442,36970,12753,36798, 2464,18210,26408,26407,
+41754,34549,35325,41666, 7314,41665,41776,22693,41664, 6432,42556,18178,
+26697,26356,26393,34087,38762, 9312,41711, 8933,36479, 2483,41710, 2455,
+38802,37153,37152,37151,18209,18208,21763,18207,29565,21760,37224, 2557,
+18220,37221, 2554,36643,20333,36602,39439,31285,36604,39484,24264,40237,
+40132,40235,40130,39442,31290,36609,41735,39478,24258,40093,40186,40088,
+40181,18143,34398,34435,37029,20279,36994,18145,34400,34437,37031,20281,
+36996,39483,24263,39482,24262,39486,24266,40091,40184,40086,40179,40083,
+40176,40081,40174,40241,40136,40239,40134,34758,10627,34757,10559,39303,
+39305,34812,10557,37291,38086,37290,38094,37289,38080,38614,37288,38662,
+37287,38664,37301,38656,37473,38655,30133,20531,10622,20530,10525,18394,
+10055,18422,10067,18393,10054,26458,26696,10410,13522,15751,22319,25877,
+34645,29698,34644,29697,34660,29713,38660,37435,37440,34753,29806,34751,
+29804,34672,29725,34643,29696,34642,29695,34656,29709,34662,29715,34730,
+29783,34732,29785,34677,29730,34641,29694,34640,29693,34667,29720,34666,
+29719,37327,38096,20808,13191,18392,18391,10053,20807,20851,13231,18390,
+18389,10052,20850,20857,13235,18421,18419,10066,20855,18410,10062,18477,
+10096,20791,13179,18409,18412,10061,20790,14025,18388,13571,18387,20836,
+13215,18414,18417,10064,20835,13521,18416,34836,10553,34691,29744,13625,
+18470,13520,18480,39295,39298,12931,20529,20572,10615,12981,20574,12930,
+20528,12929,20527,12928,20526,32453,16108,27288,18450,10077, 5631,37822,
+ 5630,42452,42565,18490,10101,13290,20941,13178,20789,13214,20834,34706,
+29759,34699,29752,13177,18474,20788,20787,18476,10095,13213,18479,20833,
+20832,18482,10098,13176,18538,13175,18496,32478,16282,32460,16135,13212,
+20831,13174,20786,13220,20838,13190,20806,13230,20849,32339,15631,32362,
+15847,32337,15629,39186,39188,15802,22360,25843,39259,39261,15628,22173,
+25858,39245,39244,12083,12081,10274,39719,40156,40256,40155,40255,24386,
+15813,24636,13407,30271,30269, 6595, 6594,34679,29732,14042,18435, 6251,
+ 6249,13292,20943,34704,29757,34702,29755,34701,29754,13119,13118,18533,
+32482,16287,10342,39718,40154,40254,40153,40253,24396,13488,24439,13440,
+30194,30193,34714,29767,38659,37400,37405, 8700,30362,30361,30170,30169,
+37413,34739,29792,39737,10247,30192,30191,34741,29794,13117,37729,13629,
+42340,24441,13487,24438,13490,39736,10215,39748,10210,39731,10209,39726,
+10220,39735,10208,39725,10245,39733,10222,39717,10213,20954,10594,10379,
+39764,10378,39763,39762,10528,40246,40143,40245,40142,40220,40105,40219,
+40104,18564,10135,20952,13301,18563,18571,10134,20960,10373,39756,18559,
+10130,20948,13297,18558,18567,10129,20956,10205,34916,34923,37772,13502,
+37765,10203,34914,34921,37770,13500,37763,39761,10377,40172,40079,40170,
+40077,40152,40252,40151,40251,39766,10523,40161,40261,40160,40260,40233,
+40128,40231,40126,34851, 9960,34232,34090,10334, 1864,21204, 1757,32005,
+ 1601,35035, 1797,31293,31509,31895,20354,29864,18274,29200,29467,37983,
+ 1814,29926, 1571,18655, 1742,13858, 1881,36810,36655,37623,12692,34934,
+34778,34003, 7306,34002,29395,34001,34498,34011,34508,34000,34497,40229,
+34492,41761,34931,34775,41968,34018,34514,40243,34516,42397, 1037,41633,
+ 1031,41632, 1048,42392, 1022,41635, 1050,42394, 1024,41760,41631, 1046,
+42390, 1020,41629, 2954,41628, 2992,41627, 2915,41626, 3251,41650, 2892,
+41652, 3227,41656, 2886,41654, 3221,34263, 9979,34254,34121, 9970, 936,
+20366, 931,31521, 926,34112, 921,31315,31530,31324,20375,29222,18286,
+29231,29479,36686, 916,29488, 911,18294, 906,12712, 901,36842,36677,
+36833,12703,34381,31639,34224, 2650,34226, 2616,31621, 2599, 2652,36975,
+34384,36802,29572,36797,29574,36969, 2482, 6384,37645,37150,37149,39645,
+37635,37644,37632,37148,37147,37146,37145,37144,27910, 2624, 8314, 6262,
+41716,37187,38260,37297,37347,42609,32086,38078,37639,34016, 7313,34015,
+29397,34014,34512,37090, 2481, 2480, 2630, 2637, 2505, 6421,37518,37128,
+37399,37127,37495,37126,37469,37124,37468,37513,37142,37123,37511,37462,
+37299,37756,37434,37122,37141,37121,37140,39431,36631,37412,37404,37498,
+37494,37472,10043,37461,37460,37467,10039,37458,37457,37647,37138,37137,
+37120,37510,37517,37520,37174,37505,37439,29444,37119,37136,37135,37172,
+37170,37118,37117, 2641, 2632,39414,26406,26405,27640,42564, 2623,37566,
+37286,31638,12764,12757,41733, 2622, 2621,37527,37402,37492,10045,37455,
+37454,37465,37185,37508,37437,37184,37183,26413,27645,42561,20297, 2612,
+20295, 2610,35114, 2608,35112, 2606,12763,37557,39421,18930,22264,27005,
+21417,13951,24817,38564,38257,38562,37452,38560,30007,38068,32735,32711,
+38761,32710, 9311,38760, 9310,38072,32709,38071,32901,38070,32764,17268,
+23321,24825, 9217,24780, 9216,17267,38060,16897,38059,17340,38058,17530,
+38066,27635,27312, 7608,38801,32708,27786,32093,30095,22171,15627,38645,
+30126,38644,38643, 5247, 5530,32815,38800,32814, 9381,38799, 9380,38075,
+32813,27684,30333,18707,35295,27162,27153,35405,22170,39882,38555,24446,
+22351,39919,38609,24465,35332,27193,35291,27160,27150,35403,42950, 8731,
+42949, 8730,42948, 8729,42947, 8728,35377,32076,40005, 8482,40002, 8479,
+35541,14640,35540,14639,14313,27249,27251,17038,23168,24827, 9024,24782,
+ 9023,17037,38063,27021,16563,38690,23265,21508,37451,38084,32336,32515,
+15626,32520,15625,32511,15677,32508,15624,32529,16280,38571, 5200,32335,
+15623,35539,14638,14662,14637,35552,14666, 8626, 8629,14668,14708,18932,
+22271,27007,21421,13942,24829,30360,42780,35108,30005, 5647,35143,30085,
+ 5665,22165,18820, 5605, 5604,35347,32111,32506,15929, 6955, 5331,40061,
+43546,42762,18769, 6937, 5272, 6936, 5271, 6935, 5270, 6933, 5268, 5629,
+22268, 6939, 5274,22180,22164, 6946, 5281,25809,32240,18748, 8323, 8156,
+ 8316, 8158, 8320, 8153, 5580,35374,32097,35335,32096,35334,32095,32513,
+15882,32367,15881,38759, 9309,43061, 8932,36478, 8059,38798,38115,38114,
+38113,18791,18790,18789,30347,37642,37515,37450,38130,37755,38112,38111,
+27909,27639,37569,38128, 3646,22685,16184, 6338, 1522,12640,12645,15371,
+ 6342, 1510,12642,12647,15373, 6782, 6781,14798,21699, 6344,14796,21697,
+ 6341, 7801, 1555, 7440,12375, 7443, 8012, 6107,22026,27582, 1592,15367,
+28052, 1693,16277,22744, 1658, 1489, 7435,12373, 7437, 8010, 6105,22021,
+27580, 1940,15362,28050, 2005,16275,22742, 2040, 7442,22025,15366, 7439,
+22023,15364, 7426, 1562,12340,12333,12338,12331, 5804, 3214,12342,12335,
+ 6027, 3514, 7971, 3758,27540,28011, 7377, 3656,21970,22689,15298,16194,
+15505,12533,15504,14938,16379,14982,16012,12532, 6752, 1497, 6749, 1494,
+41395,41428,41393,41426,41397,41430, 7673, 2785,12396, 3807, 8862,12509,
+12436,12393, 5370, 3094,12439,12401, 5365, 3088,14737,14216, 5440, 3335,
+ 3128, 5405,14200,14716, 3087, 5364,14181,14664, 7871,12398, 4411, 4409,
+12435,20087, 6593, 3074, 5351,14171,14636,12448,20094, 6591,12546,15118,
+21825, 7236,12545,20135, 6451,12407,12544,12406,12388,12506, 3804, 8859,
+12522,12505, 7664, 2776, 7671, 2783, 7717, 2884,41403,41434, 6017, 3465,
+ 7961, 3725,27530,27989, 7364, 3614,21959,22662,15287,16154,15051,21757,
+ 7169,12568,20156, 6382,14937,21735, 6848,41461,41460,12427,20084, 2755,
+31205,31204,16392,12489,12488,12426, 4417,13481, 2225, 7635, 2415,15621,
+ 7167, 7858, 5873,21755,27302, 2239,15049,27613, 2245,15620,22163, 2261,
+ 7304, 7938, 5973,21879,27421, 2241,15198,27830, 2247,15967,22504, 2264,
+ 7251, 7895, 5900,21832,27361, 2237,15125,27703, 2243,15788,22342, 2257,
+16032,12416,20081, 7526,31201,12415,12414,15686,15952, 2667,15619, 7166,
+ 7857, 5872,21754,27301, 1949,15048,27612, 2014,15618,22162, 2049,12423,
+ 7223, 7885, 5891,21816,27344, 1939,15105,27679, 2004,15743,22302, 2039,
+12404, 7351, 7953, 6005,21951,27517, 3446,15276,27968, 3715,16106,22638,
+ 3587, 2256,21296,12567,13748,20155, 2235, 2255,21295,12566,13747,20154,
+ 2234,12560,20148, 6450,41459,15243, 3788,41450,15617,41420,41458,12425,
+20083, 2209,31821,12497,12496,15117,21824, 7235,12562,20150, 6449, 2227,
+ 2223,12487,20114, 4245,12485,20112, 4243,12875,20501, 4242,14245,41418,
+41456,12559,20147, 2220, 6016, 3464, 7960, 3724,27529,27988, 7363, 3613,
+21958,22661,15286,16153,12500,12432, 7405, 7990, 6044,21993,27559, 1591,
+15324,28021, 1692,16231,22715, 1657,15316,41467, 2217,12430, 7400, 7988,
+ 6042,21988,27557, 1938,15318,28019, 2003,16229,22713, 2038, 7404,21992,
+15323, 7402,21990,15321, 1457,21287,12552,13738,20140, 1453,41444,15320,
+41469, 1463,15615,15612,16030,12413,20080, 1444,12412,20079, 1443,31824,
+31818,12565,20153, 2233,12484,32070,12483,12482,13480,13746,21294, 2254,
+12481,20111, 4241,12480,20110, 4240,12492,20116, 6512,12479,20109, 6380,
+ 2268,22161,15610,15609,22160, 2259,15966,22503, 2263,12420,12419,15685,
+22239, 2251,12495,12558,20146, 2219,12554,20142, 1460,15103, 2216,41454,
+12422,41409,41438,15245, 3790,41453,11020,40855,30973,11578,11577,11591,
+11575,11589, 4564,11583,11582, 2666,11586,11585,12828,12826, 5829, 3832,
+12874,12870,20498, 3812,12869,20497, 3811, 3831, 5828, 3830, 5827, 3834,
+ 5831,12877,12879,12873, 7468,22050,15416, 2531, 5823, 3818, 3836, 3843,
+12884,20506, 3875, 3905, 5843, 3898, 5839, 3900, 5841,12888, 7474,22057,
+15423,12890, 7476, 8024, 6122,22059,27597, 3926,15425,28070, 3966,16337,
+22799, 3955, 6117, 1968, 8021, 2075,27594,28066, 7460, 2108,22041,22773,
+15405,16310, 7454, 8017, 6112,22034,27590, 1937,15390,28062, 2002,16302,
+22767, 2037, 6115, 1983, 8019, 2091,27592,28064, 7456, 2124,22037,22769,
+15401,16306, 7450, 8015, 6110,22032,27588, 1954,15388,28060, 2019,16293,
+22756, 2054, 6109, 1977, 8014, 2084,27587,28059, 7449, 2117,22031,22755,
+15387,16292,12895, 7488, 8031, 6129,22071,27604, 1590,15438,28077, 1691,
+16344,22806, 1656, 3810, 3826, 3829,12893, 7483, 8029, 6127,22066,27602,
+ 1936,15433,28075, 2001,16342,22804, 2036, 7487,22070,15437, 7485,22068,
+15435, 5838, 3897, 3886, 3910, 3915, 3877, 3891, 3902, 3874, 3889, 3896,
+ 3873, 3888, 3895, 3879, 3893, 3904, 6124, 3932, 8026, 3972,27599,28072,
+ 7479, 3961,22062,22801,15428,16339, 3884, 3908, 3913, 3809, 3825, 3828,
+12865,43305,43632,43303,43630,43300,43627,43299,43626,14287,43298,43625,
+43296,43623,14936,21734, 6847,22080,14935,22079,19102,22101,19101,14934,
+43294,14933,43621,14932,14931,15462,15475,15457,15456,14956,14950, 6852,
+ 6846, 6845,15485,14333,14993,14992,14981,15007,15006,15005,15022,15014,
+15010,15009,15004,15025,14351,15024,15483,15020,14349,15012, 5524, 1639,
+14997,14337,14991,14332,14980,14979,14978,14995,14335,14984, 5519, 1906,
+14339,15000,14999,43316,43637,15003,15479,14306,43314,43635,15041,14354,
+15040,15493,15044,14356,15043,15495, 6866,14914,21725, 6369,14916,21727,
+ 6371,12858,20488, 6820,12872,20500, 3817, 3953,22796,16334,12883,20505,
+ 3872, 3952,22795,16333, 3951,22794,16332, 3865,22785,16323,19032,19100,
+38551,19030,19099,38548,30001,29999, 6915, 4625, 4602,35104,29997,15608,
+22159,15607,22158,15821,22375, 3127, 3334,35145,30087, 3314, 3325,15606,
+27585, 4632,15846,22390,40060,43545, 2385, 2530, 2543,40009,43415, 2964,
+38234,30168,30190,40054,43537,30277,23167,19097,40033,43462,38797,32707,
+ 2929,30189,40458,23320,17266,25101,23166,17036,40446,23349,17310,25097,
+23198,17075,38926,38925,38924,38923,39028,39026,38922,38921,38920,38919,
+39041,39043,40452,40462,40454,40445,40444,40442,40449,32588,32587,32586,
+40456,23339,17294,25099,23187,17062,32922,32788,16896,17339,32594,40441,
+16617,25096,16879,23055,40439,16911,23063,40438,40437,23400,17527,16871,
+23049,40436,40435,22906,16587,40434,22905,16586,16585,22904,40433,40432,
+22903,16584,16868,23046,40465,16590,22909,40464,16609,16607,16594,43731,
+43730,40431,40430,39039,39038,39037,39036,16616,38937,38936,39243,39241,
+38935,38934,39292,39288,17173,16615,16752,16614,16613,16612,16744,16611,
+16789,39239,39238,16852,17211,32900,32763,16623,16621,11076,11075,39237,
+39236,39278,39277,39276,39275,11952,19862,25769,25748,19855,11942,32899,
+32762,17499,17451,17325,25842,21445,14034,17484,16791,25870,23275,17187,
+25841,23273,17185,25876,23263,17165,11948,19858,25763,13414,13413,39216,
+39215,39197,39196,39291,39287,12478,12477,13373,13336,13335,13368,12031,
+12030,39235,39234,12108,12107,39284,39283,11941,11940,19854,19853,27900,
+27491,25747,25746,22542,21917,16005,15236,39233,39232,39203,39201,27879,
+27470,27855,27446,27838,27429,25904,25903,25745,25955,25902,18666,42563,
+25759,25755,25998,27775,25808,27637,27015,27615,41158,41157,27836,27427,
+27049,27611,39207,39211,11951,11950,19861,19860,27835,27426,25768,25767,
+22508,21883,15971,15202,25766,11956,11954,19866,19864,27875,27466,25778,
+25775,22528,21903,15991,15222,39221,39219,39224,39223,39290,39286,39231,
+39230,39281,39280,14930,14929,14847,14954,14316,21588, 3816,14319,21591,
+ 3882,14318,21590, 2882,14948,14946,14294,21570, 893,14296,21572, 964,
+ 8262, 8413, 8261, 8412, 8253, 8404, 3081, 5860, 3167, 5859, 3175, 8260,
+ 8411, 1395, 1411, 1414,21584,14311,14347,21606, 1403,14305,21581, 1409,
+14342,21602, 3815, 8259, 8410, 8258, 8409, 8252, 8403, 1406, 1393, 1111,
+ 1117,14703,14648,14660, 8187, 8350, 3080, 2322, 5710, 3166, 5718, 3174,
+11162,11147,19368,19359,25127,25118, 6642, 2749, 7102, 3062, 5755, 3209,
+11161,11146,19367,19358,25126,25117, 6623, 2705, 7086, 3036, 5723, 3180,
+14635,11168,11153,19372,19363,25131,25122, 6590, 2665, 7054, 2999, 5678,
+ 3134,11160,11145,19366,19357,25125,25116, 6600, 2674, 7059, 3004, 5683,
+ 3139,14894,16401,15605,15603,14362,15842,14927,16368,43326,42946,43324,
+42944,43321,42941,42939,43319,43255,43588,43263,43596,43262,43595,14473,
+21643, 6260,30231,32200,38696,30229,38545,30262,30167,38588,30018,30166,
+30012, 3276, 3434,43569,43236,43566,43233,16329,22791, 6234,16050,22573,
+ 6247, 7829, 7736, 7585, 7869, 7600, 6756, 7794, 7740, 6576,14475, 6583,
+ 7597, 4175,14479, 4170,15601,22157, 6792,15140,15600,22156, 7261,14360,
+ 2881, 2805, 5527, 2986, 2945, 2937, 2928, 2927, 2384, 2977,38654,30261,
+ 8287, 8126, 8281, 8116, 830, 8286, 8125, 8285, 8124, 824, 827, 8303,
+ 8131, 8302, 8123, 8307, 8101, 8300, 8301, 8120, 8121, 8299, 8119, 8297,
+ 8118, 8295, 8104, 8292, 8129, 8306, 8103, 8308, 8106,30038,30035,38259,
+30315, 8425, 8427,32057,14884,13417,15599,22155, 6511,15656,22195, 7821,
+ 6331, 6427,15712, 6424, 7414,15705,22257, 6844, 5887, 5799,16243,14926,
+21733, 6841,15598,15965, 6473,22154,15597,15868,15596,15840,22386, 6843,
+14445, 5911, 5635,14453,14444,14448,15830,15844,22388, 6840, 5913, 5628,
+15833,15827,15826,14839, 7575,15595, 2872, 2741,14925,21732, 6839,15594,
+22153, 2833,15593,22152, 2835,15592,22151, 2438,15591,22150, 2432, 2664,
+15875,22409, 2445, 2717,15589,22148, 7839,16355,16374,15782,22336, 7823,
+16357,22809, 7240,16207,22702, 7765,14756,14227,14755,14226,14754,14225,
+16218,16217,43513,43174,43510,43171,16224, 6719,21546,14235,16216,22706,
+ 6725,14763,14230,16220,15588,22147, 7390,15933,22467, 7388,43505,43166,
+43502,43163,16209,22704, 7767,15811,22366, 7394,16146,22656, 7387,16145,
+ 3605,22655,16144,15587,22146, 7231,15855,16035,15854,16034, 2839,15860,
+22399, 2838,15859,22398, 7229,15586,22145, 7501,30128,38653,30132,38652,
+38681,38651,30131,13334,16069,22590,16078, 6270,22599, 6269,16181,12927,
+27932, 6914, 6960, 5414, 8057, 5957, 6506, 6505,18941,18940,10538,10537,
+16179,13333,16170,13332,16388,15017, 7588, 6306, 5236, 5811, 5851, 5869,
+ 6740, 7127, 5798, 6468, 6996, 5564,14405,14018,14404,14017,15770, 6466,
+ 6994, 5562,14450,14447,15769,15768,15767,16373,22815, 7228,14407,14020,
+15772,16122,22643, 7227,14409,14022,14443, 5547, 5223,32069,27917,16038,
+22561,16037, 6291,22560, 6288,27915,15874,22408, 4435,15801,22359, 4459,
+ 6574,22144,15585, 6562,22358,15800, 6582,22406,15872,16011, 5655, 4128,
+15584,22143, 4437, 5660, 4093,14634,14633,14632,14631,43483,18998,16048,
+22571, 6258,43478,43131,43475,43128, 6707,21367,13906,16183,22684, 4239,
+14678, 6689,21336,13835,14680,16124,13331, 5770, 5919,14672,14671, 5768,
+ 5868, 5766, 5907, 6561, 4189,15911,22448, 6838, 5943, 5627, 6442, 6987,
+ 5542,15703, 5594, 5416, 5598, 6075, 7011, 7997,28033,27566, 6496, 7417,
+22727,22005,16257,15340,15583, 5600, 5867, 7013, 7854,27610,27300, 6498,
+ 7163,22142,21753,15582,15047, 5945, 5645, 6724, 7116, 5787, 5602, 5947,
+ 7015, 7918,27754,27388, 6502, 7285,22459,21851,15927,15157, 5597, 5962,
+ 7010, 7924,27798,27414, 6495, 7289,22486,21868,15951,15185,15455,16352,
+15503,16351,16350,15513,22106, 7835,14844,21717, 7820,14886,21720, 7819,
+15410,22044, 7818,14825,21708, 7817,14824,21707, 7816,16199,22692, 7815,
+14883,14823,43587,43254,43586,43253, 7825, 2663,16362,22811, 1398,16367,
+16366,43289,43616,43594,43261, 2414,16372,22814, 1155,16371,22813, 2421,
+16359,43280,43613,43252,43585,14838,16365,16364,43278,43611,43275,43608,
+43273,43606,43291,43618,15447,38524, 8682,15449,38526, 8684,43271,43604,
+43270,43603,43598,43265,43259,43592,16370,43269,43602,43017,43408,15858,
+ 3596,22642,16121,15857,22397, 2837,14234,21545, 6718, 5782,14743,21688,
+ 6318,16198,16215,16304,16214,16197,16213,16206,22701, 7764,16205,22700,
+ 7763, 6717,21544,14233,16291,16212, 5810,43103,43458,40124,14170,40123,
+14169,30188,30187,38695,30186,38694,30185,32066,32060,14630,14629,14628,
+ 3343, 7680,39970,32449, 5425, 7677,39967,32446, 5422, 8440, 8451, 3712,
+ 3440, 3696, 3415, 3589, 3585, 3711, 3439,14244,43101,43456, 6671,21079,
+13519,15581,16237,43099,43454,43111,18997, 3710, 3438,43109,18995,43123,
+43470,43120,43467,16101,22636, 3583,15932, 3604,16312,16142,14805, 5765,
+ 5233,43113,43460,16120, 3595,16119,22641, 3594,16118,22640, 3593,14803,
+16047,22570, 3522,16046,22569, 3521, 6706,20785,13173, 6447,21556,14255,
+ 6445,22725,16252, 6333, 6444,14418,14028,14442,15337, 5596, 6067, 7009,
+ 7995,28031,27564, 6494, 7412,22724,22003,16251,15336, 6435,21554,14253,
+ 6438,22722,16249, 6434, 7416,14753,14387, 5540, 6065, 6985, 7993,28029,
+27562, 6437, 7410,22721,22001,16248,15334,15301,21973, 7380, 6030, 5803,
+ 6029, 5775, 6743, 7129, 5801, 6731, 7122, 5793, 6727, 7118, 5789,14760,
+ 6032, 5777,14746, 7386,21979,15307, 5781, 5452, 6034, 5779, 6723, 7115,
+ 5786, 5795, 6039, 7124, 7983,28016,27552, 6733, 7396,22710,21984,16226,
+15312,14752,14748, 5791, 6037, 7120, 7981,28014,27550, 6729, 7392,22708,
+21982,16222,15310,43027,14465,21641, 6257,16327,22789, 6256,32237,15002,
+14464,14463, 6589, 6484,21453,14051,16246,14469,14468,15689,15950, 6254,
+15580, 5571, 5866, 7001, 7853,27609,27299, 6481, 7162,22141,21752,15579,
+15046,14751,14471, 5569, 5889, 6999, 7883,27677,27342, 6479, 7221,22300,
+21814,15741,15101,16326,22788, 3938,43577,43244,43574,43241, 6819,21366,
+13905, 6818,20784,13172,16331,22793, 4238, 5813, 3987, 6796,21319,13807,
+ 5817, 4015, 5809, 4012, 6805,20713,13116, 6807, 7147, 5834,20783,26609,
+ 3845,13171,26853, 3838,13666,21222, 3820, 6790, 7138, 5808,20805,26616,
+ 1953,13189,26857, 2018,13674,21227, 2053, 5807, 1976, 7137, 2083,26636,
+26874, 6789, 2116,20848,21247,13229,13701, 5821, 1967, 7144, 2074,26629,
+26867, 6800, 2107,20830,21239,13211,13692, 6794, 7140, 5815,20782,26608,
+ 1935,13170,26852, 2000,13665,21221, 2035, 5819, 1985, 7142, 2093,26647,
+26885, 6798, 2126,20870,21256,13245,13708,16325,22787, 3937, 3940, 3946,
+ 3921, 3959, 3970, 3930, 3950, 3964, 3924, 3936, 3944, 3919, 3949, 3963,
+ 3923, 3957, 3968, 3928, 6835, 7154, 5848,20903,26670, 1589,13261,26895,
+ 1690,13717,21268, 1655, 3935, 3943, 3918, 6830, 7152, 5846,20898,26668,
+ 1934,13256,26893, 1999,13715,21266, 2034, 6834,20902,13260, 6832,20900,
+13258,16315,22777, 3856, 3855, 3861, 3850, 5836, 3848, 7149, 3841,26628,
+26866, 6809, 3823,20829,21238,13210,13691, 3934, 3942, 3917,14837,21713,
+ 6353,22100,14836,14835,14846, 6851,21738,14952, 6837,21731,14924,15502,
+15501,15516,15528,15540,14882,15536, 5864, 1638,16378, 5858, 4127, 5857,
+ 1905, 6854,21740,14967,14881,15534,14878,14906,15544,15546, 6862,21746,
+15035, 6864,21748,15037,14867,14908,14897,14891,14888,14899,14875,14880,
+16098,16095,22634,22631, 3578, 3575,22629, 3573,27960, 3708,22608, 3555,
+27947, 3688,22606, 3553,27945, 3686,40118,14110,30165,38687,30164,32068,
+ 3274, 3432, 3268, 3426,27965,27963,14626, 5349,27940,35536,14625,35538,
+14627,35535,14624,35534,14623, 6664, 6663, 4303,21444,14033, 6560,21443,
+14032, 5738, 3196, 2528, 2527, 5644, 7042, 8345, 8183, 2526, 3323, 3317,
+ 5640, 7038, 6931, 5266, 5641, 7039, 2524, 3313, 7732,39979,32435, 5362,
+ 7729,39976,32432, 5359,22612, 3559,27951, 3694,22611, 3558,27950, 3693,
+ 7630,39953,32422, 5322, 7627,39950,32419, 5319,35533,14622,35532,14621,
+35531,14620,35545,14653,35530,14619,35544,14652,10716,10713,10708,10705,
+35527,14616,35529,14618,10710,10707,10593,10592, 2702, 2690,18867,18855,
+10470,10458, 5741, 3199, 7099, 3049,24735,24575, 5733, 3191, 3272, 3430,
+ 5735, 3193, 5734, 3192, 7096, 3046,24732,24572, 5731, 3189, 7094, 3044,
+24730,24570, 5728, 3186, 7091, 3041,24727,24567, 5715, 3172, 7083, 3029,
+24724,24564, 3270, 3428, 2700, 2688,18865,18853,10468,10456,43482,18834,
+ 5709, 3165, 5704, 3161, 5626, 4113, 5855, 4085, 5662, 3986, 5701, 3158,
+ 5693, 3150, 7077, 3022, 7069, 3014,24716,24556,24708,24548, 6620, 2699,
+ 6612, 2687,18985,18864,18977,18852,10613,10467,10605,10455, 5697, 3154,
+ 5689, 3146, 7073, 3018,22604, 7065, 3010,24712,24552, 3551,24704,24544,
+ 6616, 2694, 6608, 2682,27943,18981,18859,18973,18847, 3684,10609,10462,
+10601,10450,22603, 3550,27942, 3683, 2696, 2684,18861,18849,10464,10452,
+ 5698, 3155, 5690, 3147, 7074, 3019, 7066, 3011,24713,24553,24705,24545,
+ 6617, 2695, 6609, 2683,18982,18860,18974,18848,10610,10463,10602,10451,
+28004, 3126, 3060, 3379, 3125, 3123, 3122, 3333, 3066, 3383, 3065, 3382,
+10507,18914,10506, 2875,18913, 2874, 3304, 3493, 3302, 3491, 3301, 3490,
+ 2746, 2745,18889,18888,10490,10489, 2744, 2743,18887,18886,10488,10487,
+14522, 5654, 2538,15766,15765,14397, 8138, 8310, 5559, 5546, 5545, 5222,
+ 5707, 5221, 5717, 5544, 5220,16422,16417,16419,43666,43661,43664,43659,
+43656,43654,43652,43650,43643,43648,43641,43646, 1721, 7573, 1718, 7570,
+ 7711, 2859, 7706, 2844,16494, 7690, 2800, 7688, 2798, 7687, 2797, 7709,
+ 2857, 7704, 2842,16484, 7694, 2813,16502, 7685, 2795, 7714, 2864, 7684,
+ 2794,16491,16490, 7693, 2812, 7683, 2793,16534,16541,16532,16539,16547,
+16552,16489,16551,32547,16545,32549,16550,16549,32544,16488,32584,32596,
+16580,22899,28140,32583,38724,43714,22901,28142,38722,43712,16582,32581,
+16671,16593,16569,16412,16411,16410, 7682, 2792, 7692, 2811,16524,16526,
+16408,16407,16430,16406,16509,16506, 3645,22871,16497,16427,16426,22823,
+ 4558,16425,22822, 4556,16592,16500,16511,16465,16469,16467, 7701, 2822,
+ 7699, 2820, 7697, 2818,16504,16951,23098, 8930,32714,16751,16750, 4324,
+16746,32898,32761, 9180,23289,17210, 6722,23032,16851,17209,23288, 9179,
+17215,23293, 9187,16839,16989, 6471,23037,16857,16836,16987,16831,16984,
+43775,43804, 4361, 9178,17191,23279, 9156,17164,23262, 9137,17189,23277,
+ 9154,16785,17184,23272, 9152,17183,23271, 9151,17163,23261, 9136,16793,
+17260,23314, 9210,17259,23313, 9209,17258,17257,17256,17540,17520,16895,
+16894,17384,16916,17373,17084,23204, 9040,17546, 4126, 8890, 8929,23097,
+16950,16949,23096, 8928,16948,23095, 8927,16947,43871,43830,43869,43828,
+17472, 6376,22977,16757,16765,22969, 7161,17449,16799,17459,32713,16749,
+16748,17470,17447, 8952, 8951,16830,23015, 7448,16850,23031, 6788,32760,
+17208,23287, 9177, 8970, 8969,16809,22996, 4555,16808,22995, 6317,16849,
+23030, 7159,16829,23014, 6374,16848,23029, 7446,16828,23013, 6786,17207,
+23286, 9176,16782,16847,23028, 7215,16827,23012, 6419,16779,17480,32732,
+32754,32731,16784,17182,16768, 9189,43807,43778, 4268,17176,17161,43867,
+43826,17160,43865,43824, 9208,23312,17030,17255,23160, 9017, 9207,23311,
+17029,17254,23159, 9016, 9226,23343,17066,17298,23191, 9030,17028,17253,
+ 9206,23310,17252, 9205,23309,17251,17027,23158, 9015,17250,23308, 9204,
+17026,23157, 9014,17249,23307, 9203,17248,23306, 9202,17025,23156, 9013,
+17247,16867,17519,16893,16892,16891,16890,16902,16865,23045, 6470,16873,
+16870,23048, 6378, 6190,23395,17522,16864,23044, 4525,16883,23059, 4509,
+16914,23065, 4508, 9201,23305,17246, 9249,23355,17360,17420,23377, 9272,
+17138,23241, 9091, 5871, 7856, 7524, 7165, 8042, 6140,16927,17143,23076,
+23246, 7522, 9096,28180,28208, 8040, 9120, 6138, 8876,17436,23391, 9286,
+17592,28242, 9307,23430,28276, 8912, 7520, 8038, 6136,17136,23239, 9089,
+17430,23386, 9281,17586,28237, 9302,23425,28271, 8907, 7518, 8036, 6134,
+ 9269,23374,16924,17140,17417,23073,23243, 7516, 9093,28177,28205, 8034,
+ 9117, 6132, 8873,17372,16889, 9229,23348,17074,17309,23197, 9034,17073,
+23196, 9033,16881,23057, 4517,16670,16574,22893,28134,32575,38716,43706,
+22895,28136,38718,43708,16576,32577,32601,16573,22892,28133,16625,22919,
+28152,16946,23094, 8925,16945,23093, 8924,38796,32704,17444,17443,17498,
+17477,17504,17488,17490,17442,17441,16795, 3581,22981,16775,16774,22980,
+ 4507, 3580,23011,16826, 8943,23102,17179,16957,23268, 9147,32748,32893,
+ 3864,22994,16807,16806,22993, 4539, 2179,23010,16825,17509,16846,23027,
+ 2193, 2184,23020,16838,16855,23035, 2197, 2182,23018,16834,16811,22998,
+ 4506,16813,23000, 4524,16982,16819,43800,43771, 9166, 1673, 9200,23304,
+17024,17245,23155, 9012, 9228,23347,17072,17308,23195, 9032, 9224,23341,
+17064,17296,23189, 9028,32759,32897,17214,23292, 9186,17206,23285, 9175,
+ 3948,23026,16845, 3644,23025,16844,43803,43774, 9174, 2192,17159,23260,
+ 9135, 9134,23259,17158,17440,17514,17512,16860,23040, 2191,17000,23134,
+ 8995,16998,23132, 8993, 3591,23024,16843,17222,16994, 9192,23296,17218,
+ 9194,23298,17220,17507,16992,23127, 8987,16862,23042, 1328,23154,17244,
+17023,17474,17243,17022,17497,17021,17486,17439,17496,17057,17093,17020,
+17019,17117,17352,17371,17370,17376,17369,17390,17379,17392,17109, 8894,
+ 1637,17338, 8889, 1904,17356,17103,17438,17401,17126,17403,17128,17409,
+23364, 9261,17411,23366, 9263, 8923,23092,16944, 8922,23091,16943, 9133,
+ 2862, 9144, 2791, 9142, 2810, 838,22973,16764,16761,22976, 840, 9131,
+ 2790,16736,16734,17324, 8978,16842,23023, 3814, 9107,23257,17154,17107,
+23220, 9070, 9076,23226,17115, 8968, 8967,23119,16978,16803,22990, 3881,
+16802,22989, 2880,32747,16805,22992, 1327,16816,23003, 1334, 9165, 8962,
+ 8961, 1344, 9163, 8966,23118,16977, 8964,23116,16975,17217,23295, 9191,
+ 9011,23153,17018,17017,23152, 9010,17120,23229, 9079,17082,23202, 9038,
+ 9062,23213,17099,32758,32757, 8984, 8982, 8977, 8976, 2171, 2170, 2178,
+23009,16824,43802,43773, 9173, 2190, 9199,23303,17016,17242,23151, 9009,
+ 9198,23302,17015,17241,23150, 9008, 9196,23300,17239,23148,17238,17237,
+17236,17235,17234,17233,17232,17231,17518,17517,17172,17337,17336,17335,
+17334,17345,17205,32896,17333,32921,28257, 9056,43837, 9245, 9395,28250,
+ 9329,43796, 9392,28197, 9326,43902,28224, 9053,43895, 9242,43834, 9049,
+28254, 9238, 9388,43793, 9322,28247, 9385,43899, 9319,28194,43892, 9046,
+28221, 9235, 9232,23352,17089,17323,23207, 9043,17321,17320,32773,32680,
+32679,32772,32685,32778,32683,32775,32792,32688,38823,32771,17516,17539,
+17543,17204,23284, 9172,17013,23147,17012, 9006,23146, 9005,17011,17010,
+23145,23144, 9004, 9003,17009,17007,23143,23141, 9002, 9000,17081,17080,
+23201,23200, 9037, 9036,38830, 9416,32848, 9415,32847,38829, 9215,23319,
+17035,17265,23165, 9022, 9213,23317,17033,17263,23163, 9020,17203,23283,
+ 9171,16878,23054, 2188,17529,23402, 1325,17526,23399, 9170,16876,23052,
+ 1324,17525,23398, 2187, 1177, 1188, 1160, 1185, 1167, 1170,32806,32697,
+ 1220, 1215, 1246, 1202, 1250, 1232,32811,32702,17134,23237, 9087,17427,
+17583,23383,23422,28234,28268, 9278, 1184, 9299, 1187, 8904, 1176,16926,
+23075, 1159,17142,28179, 1166,23245,28207, 1169, 9095, 9119, 8875, 9275,
+23380,17423, 9277,23382,17426,17148,16931,23251,23080,28212,28184, 9101,
+ 1236, 9124, 1240, 8880, 1226,32808,32699,38792,38755,43819,43784, 9280,
+ 1245, 9301, 1249, 8906, 1231,23385,23083,28236,28187, 9343, 1254, 9363,
+ 1256, 8883, 1210,38860,38757,43860,43786, 9458, 1260, 9471, 1262, 8911,
+ 1219,17429,16934,28215,28270, 9127, 1208, 9376, 1258,32880,32701,43821,
+43907, 9306, 1214, 9480, 1264,28241,28275, 9365, 1222, 9378, 1242,43862,
+43909, 9473, 1228, 9482, 1252,17153,17585,23256,23424, 9106, 1197,32810,
+32931,38794,38872, 9285, 1201,23390,23429, 9345, 1204,38864,38874, 9462,
+ 1206,17435,17591,32884,32933,17434,17590,23389,23428,28240,28274, 9284,
+ 1200, 9305, 1213, 8910, 1218,17433,17589,23388,23427,28239,28273, 9283,
+ 1199, 9304, 1212, 8909, 1217,17147,16930,23250,23079, 9100, 1235,28211,
+28183, 9123, 1239, 8879, 1225,16933,23082, 1244,17152,28186, 1248,23255,
+28214, 1230, 9105, 9126, 8882,17145,23248, 9098,17151,23254,17150, 9104,
+23253, 9103,38863, 9461,32883, 9460,32882,38862, 1316, 1319, 1337, 1313,
+ 1340, 1322,17098,23212,17097, 9061,23211, 9060,38834, 9427,32857, 9426,
+32856,38833,17367,17366,17365,17364,17363,16908,32794,32925,17425,17582,
+ 9448, 9447, 1380,17560,23409, 1373,38849, 9446,32872, 9444,32870,38847,
+38841, 9434,32864, 9432,32862,38839,38837, 9430,32860, 9429,32859,38836,
+32691,32796,17106,17105,23219,23218, 9069, 9068,38844, 9439,32867, 9438,
+32866,38843, 1370, 1378, 1348, 1375, 1356, 1362,16910,23062, 2186, 1385,
+23412,17568, 9252,23358,17387, 1382, 1390, 1353, 1387, 1359, 1365,32693,
+32800,17114,23225,17113, 9075,23224, 9074,38853, 9453,32875, 9452,32874,
+38852,17332,17331,17330,17329,16888,32787,32920,17432,17588,17358,17556,
+17351,17553,17389,17570,17378,17562,17382,17564,17394,17572,17362,17558,
+ 9442, 9441, 9424, 9423, 1368, 1108,13330,13329,13400,13397,17078,17315,
+17071,17307,15133,13770,13518,14434,15468,14972,15521,14863,13769,14436,
+15135,13517,13768,14811,15395,13516,13767,14420,15116,13515,15518,14860,
+15465,14965,13805,14816,15398,13568,17124,17405,17070,17314,15369,14792,
+14790,15359,14821,15430,15491,14910,14770,15314,12926,13328,15520,14971,
+13327,12925,13326,12924,13325,12923,15542,15031,13469,13253,14815,15397,
+15464,14859,17349,16906,17347,16904,14873,16397,14871,16395,14532,13324,
+14527,13323,14525,13393,14530,12922,14535,12984,14537,12921,14517,12920,
+16382,14987,16384,14989,16022,13322,16017,13321,16015,13395,16020,12919,
+16025,12986,16027,12918,16008,12917,15775,15777,14402,14400,17398,14510,
+14903,14858,14508,14424,14819,16961,17305,14412,14855,13876,13883,13881,
+13873,14422,14414,14416,14809,13946,13944,13878,13889,13887,15029,14923,
+13451,14963,13840,13900,13831,13803,13842,13981,13779,13829,13959,13950,
+13971,13964,13962,13967,16068,22589,16077, 4261,22598, 4260,16066,22587,
+16075, 4259,22596, 4257,15256,21934,15263, 7336,21941, 7343,15254,21932,
+15261, 7334,21939, 7341,12916,20525, 4255,13079,20683, 4314,12915,20524,
+ 4254,12914,20523, 4253,13081,20685, 4316,13320,20978, 4434,13419,21040,
+ 4468,13319,20977, 4433,13318,20976, 4432,13317,20975, 4431,12913,20522,
+ 4252,12912,20521, 4251,12911,20520, 4250, 4301,22781,16319,15412,22046,
+ 7464,12910,20519, 6816,12909,20518, 6634,12908,20517, 6661,12907,20516,
+ 6459,12906,20515, 6453,12905,20514, 6802,13316,20974, 6632,13315,20973,
+ 6637,13314,20972, 6628,13313,20971, 6457,16321,22783, 4249,16308,22771,
+ 4248,16203,22698, 6715,15914,22451, 6492,15305,21977, 7384,15303,21975,
+ 7382,15155,21849, 7283,15414,22048, 7466,13006,20610, 6813,15403,22039,
+ 7458,13009,20613, 6659,16201,22696, 6713,13403,21030, 6639, 8092, 8571,
+ 8574, 8095,38612,37449,38626,37448,38624,37446,38541,37444,14814,17313,
+17312,12904,12903,12902,12901,13083,13012, 7107, 5350,42779,42777, 4169,
+ 4393,14834,14922, 4390, 4349, 4424, 4270, 4347,18969,43135,27930,27928,
+27921, 4601, 4600, 4598,27511,27509,27504, 7785, 6772, 6679, 6487, 6688,
+ 8090, 8569,30259,35323,30254,35317,30252,35315, 8089, 8568,18967,43133,
+30251,35314,30244,35307,30257,35321,30249,35312,15087,21797, 4505, 4504,
+ 4512, 4579, 4577, 4514,29692,34639,29691,34638,29707,34654,29717,34664,
+29799,34746,29801,34748,29740,34687,13958, 6932, 5267, 6930, 5265, 4503,
+ 4502, 4501, 4520, 4519, 4551, 8363, 2934, 2926, 2974, 2970, 8370, 2925,
+ 2383, 2391, 2382, 8368, 8347,30250,35313, 8343, 7722, 7720,19096,19094,
+10709,10706, 4500,22238,15684, 4499,22236,15681,13514,21078, 7566,12900,
+20513, 6779,12899,20512, 6826,12898,20511, 6737,17122,23231, 9081, 9066,
+23216,17102,17111,23222, 9072, 9026,23185,17056,17095,23209, 9058,12897,
+20510, 7806,15550,22120, 7851, 7507,22090,15478,15533,22114, 7845,15538,
+22116, 7847, 7499,22084,15461,15530,22111, 7841,15711,22261, 6742,15708,
+22259, 7774, 7581,22380,15829,15836,22382, 7583,15923,22457, 7564, 7593,
+22241,15688,15442,22075, 7492,15489,22096, 7513,15481,22092, 7509, 7837,
+22108,15515,17005,23139, 8998, 8997,23138,17004,15500,22099, 7832, 7497,
+22078,15454,15453,22077, 7496, 7831,22098,15499,15473,22087, 7504, 4529,
+22140,15578,13822,15577, 4527,22139,15576,13817,15575,15724,13513,15574,
+22138, 4179,15573,13583,14251,15710,15572,22137, 7776,14257,15571,16242,
+15707,15570,22136, 6745,16254,15569,15832,15835,15702,15922,15568,22135,
+ 6500,15567,15925, 4188, 4538,22455,15920, 4537,22454,15919, 7591,22453,
+15918,15917,13613,15916, 7595,22134,15566,14065,15565,17228,14833, 4173,
+13188,20804, 4365,13228,20847, 4386,17227,13237,20859, 4389,13169,20781,
+ 4360,14099,13827, 4534,13603,21164, 7590,14068,14024,13570,13209,20828,
+ 4382,13512,13412,13411,17003,17226,15452,14832,15498,14921,17328,16887,
+14866,16391,14521,13410,16377,14977,16010,13409,14396,13941,13885,13074,
+20679, 4310,13073,20678, 4309, 4308,22776,16314,15300,21972, 7379,13072,
+ 4531,15564,22133, 6475,15870,15563,15825,13599,13511,15764, 6771, 6670,
+ 6678, 6486, 7784,13448,13897, 3266, 3424,42761,42776, 6929, 5264, 2924,
+ 2381,18833,43481, 8713, 2380, 2379, 2962,19078,42868,18806,43450, 2923,
+ 1016, 1058,35100,29992, 1044,35096,29988,15561,22131,35097,29989, 1040,
+ 2404, 1034, 1042, 1054, 1028, 5115, 5117,16064,22585,16073, 4297,22594,
+ 4296,27926, 4624, 6948, 5294,15252,21930,15259, 7332,21937, 7339,27507,
+ 8352,14813,14857,14970,14969,42775,13447,13896,13446,13895, 7110, 5369,
+ 2980, 8377, 7739, 7738,19111,19110,10739,10738,18987,43158, 2942, 8712,
+ 4563,13639,21187, 4554,13904, 4195, 4381,15070,21780, 4533,13903,14067,
+13957,16938,16937,42132,42573,17002,17225,15451,14920,15497,14831,14919,
+15409,22043, 7462,13305,20963, 6811,13304,20962, 6657,16196,22691, 6711,
+13303,13986,13985,13984,17224,14918,14830,42689,42380,42688,42379, 4429,
+13311,20969, 4428,13977,16936,13307,20965, 4423,13509,37779, 4899,13507,
+37777, 4897,13983,42687,42378,42373,42682,13988,42377,42686,42691,42382,
+ 9078,23228,17119, 7511,22094,15487,15440,22073, 7490,13115,20712, 6824,
+42802, 8376, 8375, 7849,22118,15548,13826,13445,13894,13114,13628, 2232,
+21214,13743,13651,21291, 2250, 6477,21167,15144,13606,21841, 7270,13956,
+21399, 2214, 2231,21355,13867,15143,21840, 7269, 6483,21334,13833,13955,
+ 4574,13113,13949, 4571, 4570,13731,21281, 4553,13168,13737,21286, 2230,
+13742,21290, 2249,13954,21398, 2213,13948,21396, 2229,13112,20711, 6735,
+13940,15265,21943,15066,21776,15085,21795,30243,35306,15560,22130, 4548,
+29765,34712,29750,34697, 2378, 5130, 5127,43480,18832, 2377,35094,29986,
+ 2376,35090,29982,15558,22128,35091,29983, 2403,15077,21787,30235,35299,
+30246,35309, 8342,13111,20710, 6777,13110,20709, 7804, 4550,13208,20827,
+ 4380,18680,42605, 4379,13646,18934,42986, 8312, 1778,42238,42611,13167,
+20780, 4359, 7035, 5307,42741, 1710, 1626, 8327, 8326, 2375, 8340, 8325,
+ 7615, 7612,19074,19071,10696,10693, 4562,13166, 8224, 8659,19004,43178,
+15330,21997, 8664, 8226, 2922, 2374, 8223, 8658, 5467, 955, 6059, 953,
+ 5464, 959, 6056, 957, 8661, 8663, 8218, 8221,14243,14242,16236,16235,
+32298,32297, 8076, 6069,42820,42819, 8383,10641,19007,10640, 6755,19006,
+ 6754,15343,22008, 7135, 5491,42828, 2373, 8387, 8386, 7793, 7792,19130,
+19129,10758,10757,19123,42907,43185,43523,42818,42906, 8672, 8675, 1503,
+ 6071, 5483, 1507,32302, 7134, 5490, 8080, 6089,19017,43192,43191,43528,
+43190,43527,42827,42913, 8385, 7791, 7790,19128,19127,10756,10755,10651,
+19016,10648, 6766,19013, 6763, 8233, 8236,42911,42825, 5497, 1549, 6093,
+ 1539, 5496, 1548, 6092, 1538,15069,21779,15332,21999,15083,21793,15090,
+21800,15088,21798,15674,22221,15557,22127,15556,22126,15559,22129,15555,
+22125,15078,21788,15080,21790,15076,21786,15554,22124,15562,22132,15553,
+22123,15552,22122,15074,21784,15073,21783,15184,21867,15949,22485,15948,
+22484,15988,15219,22525,21900,27872,27463,15985,15216,27869,22522,21897,
+27460,27857,27448,27849,27440,25615,27633,27608,21778,15068,27834,27425,
+27765,27606,15970,15201,22507,21882,27833,27424,15969,15200,27899,27898,
+22541,22540,22506,21881,27490,27489,16004,16003,27832,27423,21916,21915,
+15235,15234,27897,27488
+};
+
+
+const int s_nDataSize3 = 24772;
+unsigned int s_Data3[24772] = {
+//Output priorities (total = 24772):
+10, 9, 12, 6, 11, 14, 4, 1, 7, 5, 2, 3, 13, 8, 0,
+0, 1, 2, 219, 218, 76, 217, 216, 77, 1, 0, 74, 78, 79, 75,
+70, 71, 72, 68, 73, 69, 310, 299, 296, 331, 297, 332, 114, 26, 298,
+340, 330, 336, 338, 339, 62, 112, 328, 334, 329, 335, 113, 337, 327, 333,
+115, 60, 27, 61, 63, 273, 215, 36, 213, 31, 35, 39, 319, 312, 320,
+323, 324, 343, 157, 345, 28, 178, 32, 59, 269, 58, 309, 305, 275, 271,
+308, 304, 34, 117, 181, 129, 154, 211, 30, 38, 177, 193, 55, 130, 268,
+33, 303, 174, 29, 37, 119, 212, 143, 188, 66, 270, 141, 183, 194, 179,
+126, 261, 190, 267, 344, 346, 272, 189, 173, 274, 51, 322, 321, 342, 315,
+214, 311, 14, 57, 223, 348, 125, 176, 192, 317, 280, 314, 165, 160, 175,
+326, 127, 17, 247, 172, 262, 5, 231, 99, 138, 124, 54, 301, 325, 167,
+15, 43, 205, 47, 122, 147, 292, 295, 83, 106, 86, 87, 220, 131, 347,
+293, 150, 209, 233, 67, 116, 148, 156, 171, 180, 191, 256, 195, 341, 128,
+277, 291, 281, 289, 294, 313, 102, 46, 103, 207, 229, 236, 240, 224, 227,
+249, 170, 49, 251, 258, 318, 133, 197, 278, 2, 56, 252, 265, 254, 20,
+142, 151, 316, 164, 121, 162, 41, 107, 139, 203, 288, 302, 48, 52, 110,
+53, 64, 4, 16, 284, 135, 307, 3, 40, 155, 202, 23, 93, 22, 92,
+290, 65, 210, 50, 98, 208, 94, 123, 137, 187, 225, 7, 10, 120, 109,
+263, 287, 186, 108, 152, 264, 90, 253, 96, 97, 136, 200, 118, 140, 300,
+306, 185, 6, 11, 89, 259, 85, 101, 132, 196, 24, 45, 260, 244, 91,
+18, 104, 232, 19, 44, 105, 184, 21, 84, 226, 250, 283, 279, 286, 158,
+248, 257, 255, 80, 169, 13, 100, 81, 168, 199, 238, 9, 12, 82, 182,
+201, 266, 146, 204, 230, 239, 241, 159, 221, 285, 134, 88, 242, 246, 8,
+144, 222, 149, 161, 228, 237, 276, 95, 206, 282, 163, 198, 243, 235, 245,
+42, 166, 25, 111, 145, 153, 234, 13, 0, 1, 8, 3, 11, 7, 9,
+2, 12, 4, 6, 5, 10, 0, 61, 62, 0, 2, 3, 5, 6, 8,
+15, 17, 1, 4, 7, 9, 10, 11, 12, 13, 14, 16, 18, 19, 20,
+21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35,
+36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50,
+51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 63, 64, 65, 66, 67,
+68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 4, 5,
+2, 0, 1, 3, 7, 10, 8, 11, 6, 9, 97, 100, 22, 123, 124,
+125, 98, 101, 40, 39, 66, 72, 75, 69, 68, 74, 21, 41, 67, 73,
+77, 30, 71, 23, 106, 36, 54, 55, 63, 96, 32, 99, 58, 59, 65,
+38, 107, 27, 17, 56, 57, 64, 70, 76, 29, 15, 31, 122, 102, 25,
+48, 49, 50, 51, 52, 53, 26, 28, 103, 37, 127, 104, 120, 121, 24,
+33, 46, 47, 62, 112, 113, 116, 105, 20, 13, 126, 128, 35, 34, 19,
+42, 43, 44, 45, 60, 61, 18, 79, 84, 91, 16, 14, 82, 89, 94,
+85, 119, 83, 88, 95, 118, 78, 90, 81, 86, 93, 12, 80, 87, 92,
+108, 109, 110, 111, 114, 115, 117, 148, 542, 149, 147, 303, 531, 555, 573,
+574, 532, 556, 150, 153, 155, 578, 304, 560, 536, 151, 154, 157, 534, 558,
+576, 533, 538, 557, 575, 547, 551, 570, 305, 568, 306, 540, 541, 544, 546,
+550, 553, 562, 564, 565, 571, 552, 554, 572, 535, 559, 577, 537, 561, 569,
+539, 543, 545, 548, 549, 563, 566, 567, 308, 307, 152, 156, 158, 382, 144,
+128, 145, 438, 446, 450, 458, 462, 470, 474, 482, 492, 500, 504, 510, 516,
+522, 530, 204, 394, 528, 381, 397, 480, 498, 396, 400, 436, 444, 448, 456,
+460, 468, 472, 490, 502, 508, 514, 520, 286, 388, 393, 294, 403, 273, 384,
+385, 387, 391, 399, 408, 313, 317, 347, 354, 414, 419, 426, 25, 88, 127,
+130, 198, 275, 336, 483, 126, 281, 283, 341, 432, 299, 325, 390, 402, 415,
+416, 417, 418, 427, 428, 116, 124, 134, 142, 221, 229, 298, 479, 486, 497,
+527, 24, 87, 227, 311, 315, 329, 353, 506, 512, 518, 30, 34, 41, 196,
+300, 484, 48, 104, 186, 191, 264, 335, 343, 363, 234, 276, 441, 443, 453,
+455, 465, 467, 477, 495, 525, 222, 269, 476, 494, 524, 395, 89, 140, 413,
+420, 425, 481, 499, 505, 511, 517, 529, 200, 257, 327, 398, 401, 440, 445,
+452, 457, 464, 469, 32, 36, 42, 47, 345, 365, 435, 442, 447, 454, 459,
+466, 471, 478, 489, 496, 501, 507, 513, 519, 526, 202, 323, 146, 170, 177,
+179, 248, 255, 368, 380, 206, 122, 132, 258, 279, 288, 296, 349, 375, 434,
+46, 114, 165, 180, 201, 219, 243, 250, 297, 405, 429, 33, 38, 43, 172,
+203, 208, 346, 392, 404, 410, 485, 488, 183, 216, 261, 348, 386, 430, 20,
+26, 65, 100, 131, 162, 167, 174, 182, 188, 189, 194, 210, 218, 240, 252,
+260, 266, 272, 284, 360, 372, 383, 423, 12, 17, 57, 92, 99, 129, 213,
+215, 230, 231, 278, 291, 293, 339, 389, 406, 411, 422, 15, 60, 62, 97,
+117, 119, 135, 199, 224, 225, 236, 245, 267, 302, 321, 326, 377, 407, 102,
+137, 175, 274, 431, 412, 421, 424, 173, 238, 246, 251, 253, 262, 270, 282,
+366, 370, 378, 437, 439, 449, 451, 461, 463, 473, 475, 491, 493, 503, 509,
+515, 521, 523, 0, 1, 81, 82, 106, 160, 168, 184, 185, 192, 193, 263,
+271, 277, 322, 358, 22, 28, 31, 40, 67, 98, 103, 105, 138, 254, 316,
+319, 355, 328, 10, 14, 49, 52, 59, 70, 73, 90, 112, 133, 220, 228,
+232, 233, 301, 309, 314, 331, 333, 337, 344, 351, 35, 37, 44, 163, 342,
+409, 433, 487, 259, 27, 29, 39, 50, 161, 164, 176, 178, 181, 187, 190,
+197, 205, 239, 241, 242, 324, 332, 359, 361, 362, 371, 373, 374, 6, 7,
+45, 55, 56, 75, 77, 79, 80, 108, 109, 159, 166, 169, 171, 195, 217,
+237, 247, 249, 256, 265, 268, 280, 334, 340, 350, 357, 367, 369, 379, 2,
+3, 9, 18, 19, 21, 23, 53, 63, 64, 66, 68, 72, 76, 83, 84,
+93, 95, 96, 101, 107, 111, 120, 121, 123, 125, 139, 141, 143, 212, 244,
+290, 295, 310, 312, 318, 320, 330, 338, 352, 356, 4, 5, 8, 11, 13,
+51, 54, 58, 61, 69, 71, 74, 78, 85, 86, 94, 110, 113, 115, 136,
+207, 209, 211, 214, 223, 226, 235, 285, 287, 289, 292, 364, 376, 16, 91,
+118, 0, 3, 19, 149, 96, 20, 150, 5, 1, 6, 4, 2, 147, 93,
+91, 145, 148, 95, 146, 85, 55, 66, 76, 59, 73, 81, 51, 61, 64,
+54, 58, 92, 94, 63, 173, 62, 86, 65, 75, 60, 74, 82, 56, 52,
+53, 57, 171, 167, 160, 159, 170, 72, 141, 162, 172, 28, 68, 29, 140,
+168, 27, 70, 126, 139, 69, 163, 89, 137, 166, 71, 169, 129, 142, 164,
+116, 135, 143, 90, 67, 113, 121, 165, 161, 131, 123, 125, 133, 30, 7,
+138, 10, 117, 119, 11, 120, 127, 134, 130, 132, 115, 124, 114, 136, 9,
+118, 33, 77, 157, 158, 8, 12, 88, 155, 156, 34, 78, 99, 97, 128,
+36, 44, 87, 35, 43, 15, 13, 17, 122, 21, 23, 25, 144, 37, 45,
+47, 103, 32, 42, 80, 39, 49, 83, 108, 40, 50, 84, 38, 46, 48,
+31, 41, 79, 18, 98, 22, 24, 26, 14, 16, 105, 107, 100, 152, 111,
+109, 104, 101, 110, 112, 106, 153, 102, 151, 154, 0, 1, 3, 4, 2,
+12, 13, 10, 11, 14, 9, 6, 5, 7, 8, 21, 24, 23, 22, 20,
+19, 15, 16, 17, 18, 0, 1, 3, 2, 108, 109, 139, 153, 122, 96,
+178, 97, 126, 95, 101, 100, 94, 174, 140, 172, 175, 173, 5, 36, 154,
+88, 83, 80, 35, 161, 151, 19, 11, 6, 147, 143, 34, 176, 123, 37,
+169, 170, 171, 163, 164, 165, 166, 167, 168, 155, 156, 157, 158, 159, 160,
+82, 162, 177, 152, 81, 111, 7, 12, 20, 128, 4, 93, 21, 64, 13,
+148, 60, 62, 118, 10, 18, 33, 144, 30, 48, 135, 149, 86, 114, 99,
+124, 129, 130, 131, 61, 63, 65, 8, 14, 16, 22, 24, 26, 28, 73,
+75, 77, 90, 56, 72, 74, 76, 78, 51, 53, 55, 57, 59, 67, 69,
+71, 79, 89, 91, 50, 52, 54, 58, 66, 68, 70, 92, 107, 39, 41,
+43, 45, 47, 110, 103, 105, 120, 145, 127, 38, 40, 42, 44, 46, 137,
+102, 104, 106, 31, 32, 49, 9, 15, 17, 23, 29, 87, 25, 27, 150,
+141, 142, 84, 85, 146, 98, 116, 119, 133, 115, 121, 136, 132, 125, 117,
+112, 113, 138, 134, 2, 0, 1, 3, 8, 6, 7, 4, 5, 9, 10,
+0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14,
+15, 16, 2, 1, 4, 8, 7, 9, 6, 0, 5, 3, 10, 109, 107,
+108, 97, 105, 28, 30, 21, 81, 26, 32, 106, 20, 24, 35, 22, 34,
+96, 104, 62, 27, 111, 11, 18, 23, 36, 83, 37, 12, 95, 17, 46,
+56, 25, 40, 42, 87, 89, 14, 16, 13, 29, 103, 82, 110, 15, 19,
+31, 33, 102, 38, 66, 67, 68, 69, 70, 71, 72, 85, 41, 115, 117,
+91, 93, 94, 99, 101, 43, 73, 86, 88, 114, 116, 50, 52, 74, 76,
+77, 78, 79, 39, 113, 44, 45, 47, 48, 49, 51, 53, 54, 55, 57,
+58, 59, 60, 61, 63, 64, 65, 75, 80, 84, 90, 92, 98, 100, 112,
+0, 1, 20, 17, 18, 12, 19, 16, 21, 15, 23, 14, 22, 13, 0,
+6, 5, 11, 3, 9, 2, 8, 1, 7, 4, 10, 3, 4, 11, 14,
+17, 32, 0, 1, 2, 5, 6, 7, 8, 9, 10, 12, 13, 15, 16,
+18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 33,
+34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 2, 3, 0, 1,
+15, 13, 17, 21, 77, 76, 33, 30, 34, 110, 105, 114, 118, 31, 32,
+35, 101, 100, 16, 131, 12, 14, 130, 135, 132, 112, 120, 116, 111, 115,
+119, 79, 117, 113, 121, 20, 133, 80, 134, 78, 81, 44, 109, 49, 47,
+124, 46, 28, 48, 126, 26, 87, 89, 90, 88, 6, 5, 7, 9, 11,
+19, 36, 38, 40, 42, 86, 91, 18, 4, 10, 39, 8, 37, 41, 43,
+45, 60, 127, 27, 61, 106, 129, 59, 108, 128, 53, 54, 57, 58, 62,
+50, 29, 56, 63, 52, 55, 107, 122, 123, 125, 51, 64, 65, 66, 67,
+68, 69, 70, 71, 72, 73, 74, 75, 82, 83, 84, 85, 92, 93, 94,
+95, 96, 97, 98, 99, 102, 103, 104, 23, 25, 24, 22, 175, 174, 176,
+162, 158, 165, 124, 166, 15, 155, 126, 160, 120, 121, 122, 123, 125, 127,
+128, 129, 153, 157, 171, 152, 163, 170, 96, 97, 108, 0, 3, 6, 9,
+12, 66, 69, 72, 75, 78, 81, 130, 131, 150, 151, 156, 159, 161, 168,
+169, 173, 177, 154, 164, 167, 172, 1, 2, 4, 5, 7, 8, 10, 11,
+13, 14, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28,
+29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43,
+44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58,
+59, 60, 61, 62, 63, 64, 65, 67, 68, 70, 71, 73, 74, 76, 77,
+79, 80, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94,
+95, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 109, 110, 111, 112,
+113, 114, 115, 116, 117, 118, 119, 132, 133, 134, 135, 136, 137, 138, 139,
+140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 178, 179, 0, 1, 2,
+8, 6, 7, 3, 5, 4, 0, 1305, 1308, 540, 545, 558, 563, 564, 569,
+570, 575, 576, 581, 582, 587, 588, 593, 594, 599, 600, 605, 606, 611, 612,
+617, 618, 623, 624, 629, 630, 635, 636, 641, 642, 647, 648, 653, 654, 657,
+662, 663, 668, 669, 672, 677, 678, 681, 684, 687, 690, 0, 1, 2, 3,
+4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18,
+19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33,
+34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48,
+49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63,
+64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78,
+79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93,
+94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108,
+109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123,
+124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138,
+139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153,
+154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168,
+169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183,
+184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198,
+199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213,
+214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228,
+229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243,
+244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258,
+259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273,
+274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288,
+289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303,
+304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318,
+319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333,
+334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348,
+349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363,
+364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378,
+379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393,
+394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408,
+409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423,
+424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438,
+439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453,
+454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468,
+469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483,
+484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498,
+499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513,
+514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528,
+529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 541, 542, 543, 544,
+546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 559, 560, 561,
+562, 565, 566, 567, 568, 571, 572, 573, 574, 577, 578, 579, 580, 583, 584,
+585, 586, 589, 590, 591, 592, 595, 596, 597, 598, 601, 602, 603, 604, 607,
+608, 609, 610, 613, 614, 615, 616, 619, 620, 621, 622, 625, 626, 627, 628,
+631, 632, 633, 634, 637, 638, 639, 640, 643, 644, 645, 646, 649, 650, 651,
+652, 655, 656, 658, 659, 660, 661, 664, 665, 666, 667, 670, 671, 673, 674,
+675, 676, 679, 680, 682, 683, 685, 686, 688, 689, 691, 692, 693, 694, 695,
+696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710,
+711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725,
+726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740,
+741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755,
+756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770,
+771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785,
+786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800,
+801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815,
+816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830,
+831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845,
+846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860,
+861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875,
+876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890,
+891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905,
+906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920,
+921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935,
+936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950,
+951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965,
+966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980,
+981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995,
+996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010,
+1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025,
+1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040,
+1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055,
+1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070,
+1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085,
+1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100,
+1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115,
+1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130,
+1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145,
+1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160,
+1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175,
+1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190,
+1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205,
+1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220,
+1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235,
+1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250,
+1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265,
+1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280,
+1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295,
+1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1306, 1307, 1309, 1310, 158, 161,
+164, 167, 170, 173, 74, 77, 86, 89, 0, 3, 12, 15, 24, 27, 36,
+39, 48, 51, 60, 63, 110, 113, 122, 125, 134, 137, 146, 149, 76, 88,
+156, 160, 162, 165, 169, 171, 2, 132, 175, 26, 38, 50, 62, 72, 83,
+84, 95, 108, 120, 78, 90, 96, 104, 174, 14, 144, 176, 9, 21, 33,
+45, 57, 69, 79, 81, 91, 93, 98, 106, 119, 131, 143, 155, 59, 71,
+157, 159, 163, 166, 168, 172, 99, 101, 103, 105, 11, 35, 47, 73, 75,
+80, 82, 85, 87, 92, 94, 97, 100, 102, 107, 117, 129, 141, 8, 20,
+23, 32, 44, 56, 68, 114, 126, 138, 150, 153, 179, 186, 191, 198, 180,
+192, 1, 4, 5, 6, 7, 10, 13, 16, 17, 18, 19, 22, 25, 28,
+29, 30, 31, 34, 37, 40, 41, 42, 43, 46, 49, 52, 53, 54, 55,
+58, 61, 64, 65, 66, 67, 70, 109, 111, 112, 115, 116, 118, 121, 123,
+124, 127, 128, 130, 133, 135, 136, 139, 140, 142, 145, 147, 148, 151, 152,
+154, 213, 214, 215, 216, 177, 189, 184, 196, 221, 222, 223, 224, 178, 181,
+182, 183, 185, 187, 188, 190, 193, 194, 195, 197, 199, 200, 201, 202, 203,
+204, 205, 206, 207, 208, 209, 210, 211, 212, 217, 218, 219, 220, 2, 4,
+6, 8, 10, 12, 32, 34, 36, 46, 48, 52, 54, 56, 58, 60, 62,
+64, 86, 87, 88, 105, 106, 107, 108, 109, 112, 113, 115, 117, 121, 1,
+3, 5, 7, 9, 11, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23,
+25, 26, 27, 28, 29, 30, 31, 33, 35, 37, 38, 39, 40, 41, 42,
+43, 44, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 66, 67,
+68, 71, 73, 75, 76, 78, 79, 80, 82, 83, 84, 92, 93, 94, 96,
+97, 98, 99, 100, 101, 102, 103, 104, 110, 111, 114, 116, 118, 119, 120,
+122, 124, 126, 127, 129, 131, 141, 143, 145, 146, 148, 150, 152, 153, 156,
+166, 167, 170, 173, 174, 176, 180, 182, 184, 186, 0, 22, 24, 50, 69,
+70, 72, 74, 77, 81, 85, 89, 90, 91, 95, 123, 125, 128, 130, 132,
+133, 134, 135, 136, 137, 138, 139, 140, 142, 144, 147, 149, 151, 154, 155,
+157, 158, 159, 160, 161, 162, 163, 164, 165, 168, 169, 171, 172, 175, 177,
+178, 179, 181, 183, 185, 122, 85, 89, 92, 106, 118, 136, 148, 156, 164,
+27, 35, 37, 38, 52, 57, 62, 67, 71, 83, 55, 65, 68, 121, 26,
+53, 63, 66, 80, 82, 105, 114, 119, 123, 137, 143, 14, 25, 30, 31,
+100, 28, 117, 108, 134, 3, 12, 34, 36, 39, 40, 45, 46, 51, 59,
+60, 61, 73, 74, 75, 76, 77, 78, 84, 86, 87, 88, 90, 91, 93,
+94, 95, 110, 112, 115, 116, 120, 127, 128, 130, 132, 141, 142, 152, 175,
+58, 0, 1, 2, 4, 5, 6, 7, 8, 9, 10, 11, 13, 15, 16,
+17, 18, 19, 20, 21, 22, 23, 24, 29, 32, 33, 41, 42, 43, 44,
+47, 48, 49, 50, 54, 56, 64, 69, 70, 72, 79, 81, 96, 97, 98,
+99, 101, 102, 103, 104, 107, 109, 111, 113, 124, 125, 126, 129, 131, 133,
+135, 138, 139, 140, 144, 145, 146, 147, 149, 150, 151, 153, 154, 155, 157,
+158, 159, 160, 161, 162, 163, 165, 166, 167, 168, 169, 170, 171, 172, 173,
+174, 176, 177, 23, 29, 5, 24, 25, 26, 27, 28, 30, 31, 0, 1,
+2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17,
+18, 19, 20, 21, 22, 32, 83, 84, 96, 99, 100, 16, 85, 98, 18,
+26, 27, 37, 40, 49, 52, 17, 51, 55, 57, 97, 8, 3, 19, 9,
+50, 56, 58, 10, 53, 72, 82, 87, 89, 91, 14, 118, 129, 12, 81,
+86, 88, 90, 130, 11, 20, 21, 22, 23, 24, 25, 28, 29, 30, 31,
+32, 33, 34, 35, 36, 43, 67, 68, 69, 93, 95, 41, 45, 47, 4,
+5, 6, 13, 38, 117, 128, 71, 0, 1, 2, 15, 39, 92, 94, 65,
+70, 122, 123, 127, 7, 42, 44, 46, 48, 54, 59, 60, 61, 62, 63,
+64, 66, 105, 106, 109, 110, 111, 112, 113, 114, 121, 124, 126, 73, 74,
+75, 76, 77, 78, 79, 80, 101, 102, 103, 104, 107, 108, 115, 116, 119,
+120, 125, 18, 24, 5, 7, 9, 13, 0, 1, 2, 3, 4, 6, 8,
+10, 11, 12, 14, 15, 16, 17, 19, 20, 21, 22, 23, 25, 26, 27,
+28, 29, 30, 38, 37, 3, 2, 39, 4, 40, 5, 109, 110, 111, 99,
+107, 97, 105, 140, 141, 142, 0, 98, 106, 1, 100, 108, 34, 35, 36,
+10, 11, 42, 46, 50, 54, 58, 62, 66, 70, 13, 17, 21, 30, 6,
+88, 90, 96, 102, 113, 115, 121, 123, 125, 135, 137, 139, 9, 14, 18,
+22, 33, 44, 48, 52, 56, 60, 64, 68, 72, 116, 126, 130, 43, 47,
+51, 55, 59, 63, 67, 71, 85, 91, 93, 103, 80, 82, 83, 73, 75,
+76, 119, 129, 133, 12, 16, 20, 31, 7, 41, 45, 49, 53, 57, 61,
+65, 69, 117, 127, 131, 87, 89, 95, 101, 112, 114, 120, 122, 124, 134,
+136, 138, 86, 92, 94, 104, 118, 128, 132, 79, 81, 84, 74, 77, 78,
+8, 15, 19, 23, 32, 24, 25, 28, 26, 27, 29, 0, 1, 2, 3,
+4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18,
+19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33,
+34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48,
+49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63,
+64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78,
+79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93,
+94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108,
+109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123,
+124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138,
+139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153,
+154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 34, 5, 6, 7,
+8, 9, 10, 11, 12, 33, 47, 2, 4, 19, 20, 21, 36, 37, 38,
+40, 41, 0, 1, 3, 13, 14, 15, 16, 17, 18, 22, 23, 24, 25,
+26, 27, 28, 29, 30, 31, 32, 35, 39, 42, 43, 44, 45, 46, 48,
+49, 50, 144, 145, 0, 141, 142, 143, 155, 154, 139, 140, 146, 147, 150,
+151, 76, 82, 83, 84, 85, 86, 87, 158, 131, 77, 132, 159, 23, 24,
+25, 26, 27, 28, 32, 33, 73, 79, 91, 95, 1, 3, 5, 12, 13,
+14, 15, 16, 17, 18, 19, 20, 21, 22, 29, 30, 31, 34, 102, 104,
+106, 108, 112, 113, 114, 115, 116, 117, 118, 119, 138, 37, 39, 41, 43,
+48, 50, 52, 54, 2, 4, 6, 7, 8, 9, 10, 11, 36, 38, 40,
+42, 44, 45, 46, 47, 56, 57, 58, 59, 60, 62, 64, 66, 68, 70,
+72, 74, 75, 78, 80, 81, 88, 89, 90, 92, 93, 94, 96, 97, 98,
+100, 103, 105, 107, 109, 137, 160, 161, 162, 35, 49, 51, 53, 55, 61,
+63, 65, 67, 69, 71, 99, 101, 110, 111, 120, 121, 122, 123, 124, 125,
+126, 127, 128, 129, 130, 133, 134, 135, 136, 148, 149, 152, 153, 156, 157,
+4, 11, 5, 6, 7, 8, 10, 9, 12, 17, 18, 19, 21, 2, 3,
+0, 1, 13, 14, 15, 16, 20, 28, 32, 34, 38, 40, 22, 23, 24,
+25, 26, 27, 29, 30, 31, 33, 35, 36, 37, 39, 41, 73, 69, 95,
+11, 72, 14, 12, 13, 93, 71, 74, 94, 87, 81, 86, 79, 60, 96,
+98, 88, 59, 82, 97, 44, 46, 54, 68, 92, 100, 45, 53, 67, 43,
+91, 99, 80, 89, 77, 1, 3, 9, 5, 6, 7, 8, 70, 28, 83,
+22, 34, 42, 49, 51, 57, 17, 23, 29, 37, 63, 19, 25, 31, 39,
+48, 50, 52, 56, 58, 62, 64, 66, 84, 76, 90, 78, 75, 85, 4,
+0, 2, 10, 20, 26, 32, 36, 40, 15, 61, 16, 18, 24, 30, 35,
+38, 47, 55, 65, 21, 27, 33, 41, 0, 1, 2, 3, 4, 5, 6,
+7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21,
+22, 23, 24, 25, 26, 40, 42, 3, 1, 51, 5, 49, 48, 22, 24,
+4, 2, 52, 50, 76, 78, 80, 94, 96, 98, 23, 47, 26, 27, 63,
+64, 65, 70, 71, 21, 77, 79, 81, 17, 20, 33, 37, 41, 43, 57,
+55, 56, 58, 59, 60, 61, 62, 18, 19, 25, 32, 36, 95, 97, 99,
+0, 38, 39, 54, 67, 69, 73, 75, 85, 87, 91, 93, 53, 66, 84,
+86, 90, 89, 6, 7, 11, 12, 13, 82, 83, 68, 72, 74, 92, 8,
+9, 10, 14, 15, 16, 28, 29, 30, 31, 34, 35, 44, 45, 46, 88,
+0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14,
+15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29,
+30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44,
+45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59,
+60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74,
+75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89,
+90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104,
+105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119,
+120, 121, 122, 123, 124, 125, 0, 1, 2, 3, 4, 5, 6, 7, 8,
+9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23,
+24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38,
+39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53,
+54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68,
+69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83,
+84, 85, 86, 87, 88, 89, 90, 91, 92, 0, 1, 2, 3, 4, 5,
+6, 7, 8, 1, 3, 43, 0, 2, 4, 5, 6, 7, 8, 9, 10,
+11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25,
+26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40,
+41, 42, 44, 45, 46, 89, 90, 0, 1, 2, 3, 4, 5, 6, 7,
+8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22,
+23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37,
+38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52,
+53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67,
+68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82,
+83, 84, 85, 86, 87, 88, 91, 92, 93, 94, 95, 96, 97, 98, 99,
+100, 101, 102, 103, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10,
+11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25,
+26, 27, 28, 29, 30, 31, 0, 1, 2, 3, 4, 5, 6, 7, 8,
+9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23,
+24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38,
+39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53,
+54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68,
+69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 186, 189, 174,
+185, 179, 180, 177, 181, 188, 191, 60, 63, 175, 183, 176, 184, 64, 61,
+62, 65, 178, 182, 187, 190, 130, 142, 154, 166, 104, 110, 116, 13, 24,
+36, 78, 122, 136, 148, 160, 172, 7, 18, 30, 84, 102, 108, 114, 105,
+111, 117, 120, 123, 74, 86, 98, 107, 113, 119, 125, 1, 9, 20, 32,
+44, 45, 55, 75, 99, 103, 109, 115, 0, 6, 19, 31, 42, 43, 54,
+72, 73, 85, 96, 97, 137, 149, 161, 173, 2, 46, 47, 56, 76, 77,
+100, 101, 127, 133, 139, 145, 151, 157, 163, 169, 8, 21, 33, 87, 106,
+112, 118, 121, 124, 128, 129, 140, 141, 152, 153, 3, 4, 15, 26, 38,
+48, 49, 50, 51, 57, 58, 66, 67, 68, 69, 80, 90, 91, 92, 93,
+126, 131, 134, 138, 143, 146, 150, 155, 158, 162, 167, 170, 10, 11, 22,
+23, 34, 35, 88, 89, 135, 147, 159, 171, 5, 12, 14, 16, 17, 25,
+27, 28, 29, 37, 39, 40, 41, 52, 53, 59, 70, 71, 79, 81, 82,
+83, 94, 95, 132, 144, 156, 164, 165, 168, 756, 759, 761, 104, 105, 640,
+647, 700, 107, 757, 760, 102, 222, 224, 310, 420, 431, 441, 460, 468, 491,
+494, 501, 558, 571, 654, 666, 683, 722, 7, 10, 31, 34, 60, 65, 162,
+165, 178, 434, 467, 477, 480, 550, 569, 657, 671, 682, 718, 751, 13, 37,
+54, 175, 181, 262, 265, 313, 385, 465, 551, 563, 641, 645, 701, 719, 253,
+316, 333, 339, 364, 365, 369, 371, 436, 439, 461, 496, 499, 505, 514, 520,
+522, 577, 585, 588, 598, 601, 608, 617, 622, 685, 727, 733, 223, 240, 191,
+709, 92, 115, 144, 199, 248, 252, 290, 307, 338, 372, 382, 410, 475, 508,
+513, 515, 527, 547, 566, 567, 572, 580, 587, 590, 595, 604, 606, 615, 619,
+688, 716, 725, 730, 735, 739, 747, 11, 16, 22, 23, 35, 40, 46, 47,
+52, 53, 59, 64, 88, 89, 94, 103, 118, 121, 124, 138, 143, 149, 163,
+164, 179, 184, 190, 202, 205, 208, 225, 244, 245, 250, 259, 268, 280, 281,
+284, 285, 291, 322, 328, 332, 340, 373, 379, 388, 400, 401, 404, 405, 411,
+421, 426, 428, 429, 437, 442, 450, 455, 457, 469, 478, 481, 488, 497, 502,
+529, 530, 536, 537, 540, 553, 564, 570, 625, 626, 630, 635, 637, 643, 655,
+656, 668, 670, 678, 681, 691, 692, 699, 703, 704, 724, 738, 749, 750, 753,
+560, 574, 723, 85, 331, 470, 101, 217, 633, 642, 697, 742, 745, 754, 19,
+43, 48, 187, 324, 97, 218, 296, 416, 130, 137, 166, 226, 241, 271, 279,
+319, 327, 391, 399, 440, 482, 142, 283, 325, 403, 443, 453, 485, 758, 0,
+24, 67, 298, 336, 346, 464, 489, 504, 507, 510, 516, 518, 521, 523, 524,
+535, 552, 559, 573, 576, 579, 582, 583, 591, 592, 594, 599, 602, 603, 607,
+611, 614, 616, 620, 623, 632, 644, 649, 651, 661, 663, 667, 669, 684, 687,
+696, 708, 720, 726, 729, 732, 736, 1, 2, 3, 4, 5, 6, 8, 9,
+12, 14, 15, 17, 18, 20, 21, 25, 26, 27, 28, 29, 30, 32, 33,
+36, 38, 39, 41, 42, 44, 45, 49, 50, 51, 55, 56, 57, 58, 61,
+62, 63, 66, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79,
+80, 81, 82, 83, 84, 86, 87, 90, 91, 93, 95, 96, 98, 99, 100,
+106, 108, 109, 110, 111, 112, 113, 114, 116, 117, 119, 120, 122, 123, 125,
+126, 127, 128, 129, 131, 132, 133, 134, 135, 136, 139, 140, 141, 145, 146,
+147, 148, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 167,
+168, 169, 170, 171, 172, 173, 174, 176, 177, 180, 182, 183, 185, 186, 188,
+189, 192, 193, 194, 195, 196, 197, 198, 200, 201, 203, 204, 206, 207, 209,
+210, 211, 212, 213, 214, 215, 216, 219, 220, 221, 227, 228, 229, 230, 231,
+232, 233, 234, 235, 236, 237, 238, 239, 242, 243, 246, 247, 249, 251, 254,
+255, 256, 257, 258, 260, 261, 263, 264, 266, 267, 269, 270, 272, 273, 274,
+275, 276, 277, 278, 282, 286, 287, 288, 289, 292, 293, 294, 295, 297, 299,
+300, 301, 302, 303, 304, 305, 306, 308, 309, 311, 312, 314, 315, 317, 318,
+320, 321, 323, 326, 329, 330, 334, 335, 337, 341, 342, 343, 344, 345, 347,
+348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362,
+363, 366, 367, 368, 370, 374, 375, 376, 377, 378, 380, 381, 383, 384, 386,
+387, 389, 390, 392, 393, 394, 395, 396, 397, 398, 402, 406, 407, 408, 409,
+412, 413, 414, 415, 417, 418, 419, 422, 423, 424, 425, 427, 430, 432, 433,
+435, 438, 444, 445, 446, 447, 448, 449, 451, 452, 454, 456, 458, 459, 462,
+463, 466, 471, 472, 473, 474, 476, 479, 483, 484, 486, 487, 490, 492, 493,
+495, 498, 500, 503, 506, 509, 511, 512, 517, 519, 525, 526, 528, 531, 532,
+533, 534, 538, 539, 541, 542, 543, 544, 545, 546, 548, 549, 554, 555, 556,
+557, 561, 562, 565, 568, 575, 578, 581, 584, 586, 589, 593, 596, 597, 600,
+605, 609, 610, 612, 613, 618, 621, 624, 627, 628, 629, 631, 634, 636, 638,
+639, 646, 648, 650, 652, 653, 658, 659, 660, 662, 664, 665, 672, 673, 674,
+675, 676, 677, 679, 680, 686, 689, 690, 693, 694, 695, 698, 702, 705, 706,
+707, 710, 711, 712, 713, 714, 715, 717, 721, 728, 731, 734, 737, 740, 741,
+743, 744, 746, 748, 752, 755, 325, 326, 324, 15, 258, 103, 123, 3, 9,
+124, 331, 14, 259, 16, 2, 8, 337, 102, 335, 340, 4, 10, 17, 120,
+246, 247, 276, 333, 334, 33, 72, 128, 338, 5, 11, 76, 105, 127, 0,
+13, 74, 73, 122, 1, 75, 7, 300, 336, 364, 6, 12, 228, 235, 263,
+265, 270, 280, 291, 106, 297, 77, 135, 162, 169, 192, 199, 201, 214, 216,
+225, 260, 262, 104, 306, 316, 339, 170, 200, 223, 341, 137, 160, 190, 203,
+215, 218, 141, 150, 157, 171, 180, 187, 312, 313, 317, 39, 125, 143, 148,
+158, 173, 178, 188, 308, 318, 107, 322, 362, 35, 91, 97, 109, 299, 230,
+272, 293, 244, 256, 289, 323, 367, 38, 121, 302, 303, 311, 327, 245, 257,
+261, 290, 305, 234, 264, 279, 34, 36, 79, 85, 115, 126, 298, 307, 309,
+319, 328, 57, 63, 69, 198, 229, 271, 292, 82, 88, 90, 96, 108, 118,
+304, 320, 329, 37, 41, 80, 86, 116, 301, 332, 139, 159, 164, 168, 189,
+194, 205, 213, 217, 220, 222, 40, 136, 145, 167, 177, 197, 202, 212, 227,
+18, 27, 48, 363, 237, 267, 282, 196, 240, 241, 252, 253, 285, 286, 142,
+147, 152, 155, 156, 172, 175, 182, 185, 186, 310, 321, 330, 346, 347, 348,
+355, 138, 163, 165, 193, 195, 204, 210, 219, 226, 131, 132, 208, 250, 251,
+278, 314, 315, 357, 365, 140, 146, 179, 206, 211, 20, 29, 50, 161, 166,
+191, 221, 224, 269, 368, 26, 44, 47, 58, 64, 70, 81, 87, 117, 144,
+151, 153, 174, 181, 183, 93, 99, 111, 232, 274, 295, 59, 65, 71, 133,
+134, 149, 154, 176, 184, 209, 350, 361, 239, 242, 254, 284, 287, 268, 56,
+62, 68, 78, 84, 94, 100, 112, 114, 92, 98, 110, 238, 283, 55, 61,
+67, 349, 236, 243, 255, 266, 281, 288, 19, 24, 28, 42, 45, 49, 129,
+130, 207, 248, 249, 277, 354, 359, 360, 233, 275, 296, 352, 353, 22, 31,
+52, 54, 60, 66, 83, 89, 95, 101, 113, 119, 342, 345, 366, 231, 273,
+294, 25, 43, 46, 23, 32, 53, 343, 351, 358, 21, 30, 51, 344, 356,
+0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14,
+15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29,
+30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44,
+45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59,
+60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74,
+75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89,
+90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104,
+105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119,
+120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134,
+135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149,
+150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164,
+165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179,
+180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194,
+195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209,
+210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224,
+225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239,
+240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254,
+255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269,
+270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284,
+285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299,
+300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314,
+315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329,
+330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344,
+345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359,
+360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374,
+375, 376, 377, 19, 29, 33, 45, 86, 88, 90, 92, 18, 27, 31, 47,
+82, 103, 37, 41, 55, 87, 11, 35, 39, 43, 49, 51, 53, 57, 61,
+63, 89, 91, 105, 109, 114, 20, 9, 13, 107, 28, 30, 32, 34, 46,
+48, 78, 84, 133, 135, 93, 112, 134, 136, 36, 40, 62, 66, 80, 38,
+42, 44, 50, 52, 54, 56, 58, 64, 127, 131, 137, 1, 15, 16, 21,
+22, 102, 111, 113, 128, 132, 138, 23, 25, 59, 68, 70, 94, 69, 3,
+4, 6, 7, 10, 104, 106, 108, 110, 121, 123, 67, 24, 26, 60, 122,
+124, 72, 76, 81, 96, 85, 74, 98, 129, 83, 125, 0, 2, 5, 8,
+12, 14, 17, 71, 73, 75, 77, 79, 95, 97, 99, 100, 126, 65, 130,
+101, 118, 116, 120, 115, 117, 119, 219, 220, 221, 127, 131, 135, 139, 228,
+229, 230, 231, 232, 233, 234, 235, 222, 223, 224, 225, 226, 227, 236, 237,
+238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252,
+253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 275,
+276, 277, 278, 9, 13, 17, 21, 25, 29, 36, 40, 44, 48, 49, 56,
+60, 64, 68, 72, 76, 80, 84, 171, 176, 180, 184, 0, 1, 2, 3,
+4, 5, 6, 7, 8, 10, 11, 12, 14, 15, 16, 18, 19, 20, 22,
+23, 24, 26, 27, 28, 30, 31, 32, 33, 34, 35, 37, 38, 39, 41,
+42, 43, 45, 46, 47, 50, 51, 52, 53, 54, 55, 57, 58, 59, 61,
+62, 63, 65, 66, 67, 69, 70, 71, 73, 74, 75, 77, 78, 79, 81,
+82, 83, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97,
+98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112,
+113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 128,
+129, 130, 132, 133, 134, 136, 137, 138, 140, 141, 142, 143, 144, 145, 146,
+147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161,
+162, 163, 164, 165, 166, 167, 168, 169, 170, 172, 173, 174, 175, 177, 178,
+179, 181, 182, 183, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195,
+196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210,
+211, 212, 213, 214, 215, 216, 217, 218, 267, 268, 269, 270, 271, 272, 273,
+274, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 1, 2,
+3, 4, 0, 8, 12, 11, 102, 127, 6, 5, 101, 7, 128, 4, 3,
+10, 1, 2, 0, 9, 92, 90, 97, 114, 94, 95, 99, 112, 111, 123,
+116, 118, 120, 121, 125, 98, 89, 91, 96, 93, 100, 113, 24, 34, 16,
+36, 14, 22, 13, 21, 33, 18, 26, 30, 115, 117, 124, 119, 122, 126,
+17, 25, 29, 104, 19, 27, 31, 106, 28, 20, 32, 15, 23, 35, 54,
+56, 110, 51, 72, 88, 38, 40, 49, 58, 60, 64, 66, 74, 81, 105,
+107, 37, 39, 50, 52, 57, 59, 63, 65, 71, 73, 82, 87, 42, 43,
+45, 48, 61, 67, 70, 76, 77, 79, 83, 86, 53, 55, 41, 44, 46,
+47, 62, 68, 69, 75, 78, 80, 84, 85, 109, 103, 108, 7, 8, 6,
+9, 17, 10, 28, 26, 24, 50, 68, 4, 34, 5, 0, 23, 46, 2,
+18, 33, 1, 85, 19, 58, 62, 70, 29, 31, 35, 3, 25, 27, 47,
+48, 49, 51, 11, 90, 30, 32, 36, 40, 41, 42, 43, 44, 45, 12,
+13, 14, 15, 16, 20, 21, 22, 37, 38, 39, 52, 53, 54, 55, 56,
+57, 59, 60, 61, 63, 64, 65, 66, 67, 69, 71, 72, 73, 74, 75,
+76, 77, 78, 79, 80, 81, 82, 83, 84, 86, 87, 88, 89, 88, 125,
+101, 103, 124, 127, 134, 135, 25, 29, 37, 45, 165, 177, 163, 180, 138,
+142, 113, 24, 28, 36, 40, 41, 44, 48, 49, 58, 59, 60, 61, 66,
+67, 68, 69, 70, 71, 72, 73, 89, 92, 93, 145, 148, 149, 94, 105,
+109, 151, 154, 161, 173, 96, 99, 100, 102, 104, 107, 108, 111, 114, 115,
+116, 118, 119, 120, 122, 123, 126, 132, 133, 136, 137, 140, 141, 155, 156,
+159, 160, 164, 169, 171, 172, 175, 176, 179, 181, 182, 183, 0, 1, 2,
+3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17,
+18, 19, 20, 21, 22, 23, 26, 27, 30, 31, 32, 33, 34, 35, 38,
+39, 42, 43, 46, 47, 50, 51, 52, 53, 54, 55, 56, 57, 62, 63,
+64, 65, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86,
+87, 90, 91, 95, 97, 98, 106, 110, 112, 117, 121, 128, 129, 130, 131,
+139, 143, 144, 146, 147, 150, 152, 153, 157, 158, 162, 166, 167, 168, 170,
+174, 178, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12,
+13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27,
+28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 0, 1, 2, 3,
+4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18,
+19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33,
+34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48,
+49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63,
+64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78,
+79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93,
+94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108,
+109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123,
+124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138,
+139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153,
+154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168,
+169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183,
+184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198,
+199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213,
+214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228,
+229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243,
+244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258,
+259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273,
+274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288,
+289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303,
+304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318,
+319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333,
+334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348,
+349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363,
+364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378,
+379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393,
+394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408,
+409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423,
+424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438,
+439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453,
+454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468,
+469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483,
+484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498,
+499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513,
+514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528,
+529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543,
+544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558,
+559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573,
+574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588,
+589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603,
+604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618,
+619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633,
+634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648,
+649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663,
+664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678,
+679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693,
+694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708,
+709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723,
+724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738,
+739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753,
+754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768,
+769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783,
+784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798,
+799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813,
+814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828,
+829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843,
+844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858,
+859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873,
+874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888,
+889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903,
+904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918,
+919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933,
+934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948,
+949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963,
+964, 965, 966, 967, 968, 969, 970, 971, 306, 146, 158, 174, 216, 233, 27,
+29, 121, 123, 125, 127, 144, 150, 152, 173, 188, 218, 295, 299, 307, 0,
+1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15,
+16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 28, 30, 31, 32,
+33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47,
+48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62,
+63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77,
+78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92,
+93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107,
+108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 122, 124,
+126, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141,
+142, 143, 145, 147, 148, 149, 151, 153, 154, 155, 156, 157, 159, 160, 161,
+162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 175, 176, 177, 178,
+179, 180, 181, 182, 183, 184, 185, 186, 187, 189, 190, 191, 192, 193, 194,
+195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209,
+210, 211, 212, 213, 214, 215, 217, 219, 220, 221, 222, 223, 224, 225, 226,
+227, 228, 229, 230, 231, 232, 234, 235, 236, 237, 238, 239, 240, 241, 242,
+243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257,
+258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272,
+273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287,
+288, 289, 290, 291, 292, 293, 294, 296, 297, 298, 300, 301, 302, 303, 304,
+305, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321,
+322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336,
+337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351,
+352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366,
+367, 368, 369, 370, 371, 372, 373, 374, 76, 106, 77, 107, 125, 115, 126,
+60, 61, 71, 59, 96, 99, 110, 89, 70, 58, 25, 27, 33, 35, 86,
+87, 72, 75, 79, 94, 112, 95, 100, 73, 74, 78, 101, 102, 105, 109,
+88, 26, 32, 34, 103, 104, 108, 24, 97, 98, 113, 114, 44, 64, 69,
+36, 38, 41, 43, 47, 54, 57, 63, 66, 111, 37, 39, 40, 42, 45,
+46, 55, 56, 62, 65, 67, 68, 90, 92, 5, 11, 9, 84, 8, 4,
+10, 2, 48, 50, 52, 81, 82, 0, 6, 12, 14, 85, 80, 83, 49,
+51, 53, 91, 93, 118, 121, 124, 3, 17, 18, 21, 22, 29, 30, 1,
+7, 13, 15, 116, 119, 122, 129, 16, 19, 20, 23, 28, 31, 117, 120,
+123, 127, 128, 130, 3, 4, 5, 6, 25, 26, 27, 28, 29, 33, 41,
+54, 61, 62, 99, 101, 105, 106, 107, 108, 133, 134, 0, 7, 30, 83,
+86, 87, 88, 90, 91, 92, 93, 135, 136, 137, 1, 2, 31, 32, 34,
+100, 102, 103, 104, 119, 132, 138, 139, 140, 16, 21, 22, 23, 24, 44,
+51, 64, 65, 66, 67, 69, 71, 72, 73, 74, 75, 76, 8, 9, 10,
+11, 12, 13, 14, 15, 35, 36, 42, 43, 46, 48, 49, 50, 52, 60,
+63, 77, 78, 79, 80, 81, 82, 85, 89, 94, 95, 96, 97, 98, 109,
+110, 111, 112, 113, 114, 115, 120, 121, 17, 18, 19, 20, 37, 38, 39,
+40, 45, 47, 53, 55, 56, 57, 58, 59, 68, 70, 84, 116, 117, 118,
+122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 141, 142, 143, 144, 145,
+146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160,
+161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175,
+176, 177, 178, 179, 180, 181, 182, 49, 18, 16, 17, 42, 45, 15, 8,
+46, 39, 6, 48, 7, 9, 10, 41, 44, 5, 40, 43, 30, 47, 51,
+52, 25, 19, 20, 21, 22, 23, 24, 3, 4, 29, 31, 32, 33, 34,
+35, 36, 37, 38, 71, 73, 11, 12, 13, 14, 50, 70, 0, 1, 2,
+26, 27, 28, 60, 62, 69, 61, 63, 64, 65, 72, 75, 76, 54, 55,
+56, 57, 58, 59, 66, 68, 81, 82, 83, 84, 86, 74, 53, 67, 77,
+78, 79, 80, 85, 87, 88, 0, 1, 2, 3, 4, 5, 6, 7, 8,
+9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23,
+24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38,
+39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53,
+54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68,
+69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83,
+84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98,
+99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113,
+114, 115, 116, 117, 118, 119, 120, 121, 122, 0, 1, 2, 3, 4, 5,
+6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20,
+21, 100, 31, 35, 41, 33, 30, 34, 40, 82, 81, 103, 47, 32, 15,
+99, 46, 9, 21, 8, 69, 65, 67, 14, 62, 57, 58, 60, 80, 56,
+20, 11, 97, 10, 85, 86, 1, 22, 26, 36, 16, 17, 78, 79, 105,
+108, 5, 24, 28, 38, 44, 45, 59, 61, 63, 70, 109, 111, 0, 4,
+25, 29, 39, 50, 51, 54, 55, 71, 72, 73, 74, 75, 76, 77, 95,
+96, 101, 102, 104, 110, 98, 18, 19, 83, 84, 89, 23, 27, 37, 42,
+43, 48, 113, 2, 3, 6, 7, 12, 13, 49, 52, 53, 87, 88, 90,
+91, 92, 93, 94, 106, 107, 112, 64, 66, 68, 5, 4, 0, 39, 48,
+17, 8, 6, 7, 77, 78, 75, 76, 79, 80, 16, 15, 73, 56, 55,
+74, 40, 41, 42, 60, 9, 10, 11, 12, 13, 14, 59, 43, 62, 1,
+2, 3, 44, 61, 58, 68, 22, 23, 28, 35, 36, 45, 46, 47, 57,
+67, 69, 70, 71, 19, 18, 20, 21, 24, 25, 26, 27, 29, 30, 31,
+32, 33, 34, 37, 38, 49, 50, 51, 52, 53, 54, 63, 64, 65, 66,
+72, 81, 82, 83, 84, 34, 44, 71, 32, 43, 30, 35, 72, 33, 11,
+10, 39, 37, 13, 38, 42, 36, 12, 41, 31, 8, 9, 40, 50, 69,
+55, 20, 24, 28, 135, 1, 5, 15, 136, 70, 46, 51, 114, 115, 45,
+3, 7, 17, 113, 116, 54, 128, 129, 134, 138, 0, 4, 14, 26, 19,
+23, 27, 48, 62, 63, 68, 123, 124, 125, 126, 131, 132, 29, 49, 59,
+60, 66, 127, 130, 133, 86, 110, 119, 57, 58, 65, 83, 87, 103, 111,
+122, 18, 22, 82, 102, 61, 64, 67, 21, 25, 52, 2, 6, 16, 75,
+76, 85, 90, 95, 99, 100, 109, 120, 56, 73, 74, 77, 78, 79, 80,
+81, 84, 88, 89, 91, 92, 93, 94, 96, 97, 98, 101, 104, 105, 106,
+107, 108, 112, 117, 118, 121, 137, 47, 53, 4, 5, 0, 1, 2, 3,
+7, 8, 6, 9, 10, 20, 25, 27, 18, 19, 21, 23, 24, 26, 28,
+0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14,
+15, 16, 17, 22, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39,
+40, 41, 76, 96, 112, 109, 110, 94, 95, 49, 73, 56, 61, 65, 68,
+102, 30, 37, 38, 40, 41, 44, 45, 47, 48, 55, 57, 59, 60, 79,
+82, 88, 89, 90, 91, 92, 98, 100, 105, 108, 111, 0, 1, 2, 3,
+4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18,
+19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 31, 32, 33, 34,
+35, 36, 39, 42, 43, 46, 50, 51, 52, 53, 54, 58, 62, 63, 64,
+66, 67, 69, 70, 71, 72, 74, 75, 77, 78, 80, 81, 83, 84, 85,
+86, 87, 93, 97, 99, 101, 103, 104, 106, 107, 113, 91, 42, 46, 77,
+26, 8, 78, 41, 43, 44, 47, 68, 5, 30, 45, 89, 90, 48, 49,
+50, 51, 25, 76, 93, 14, 70, 88, 4, 23, 24, 29, 59, 63, 75,
+79, 92, 97, 0, 1, 2, 6, 7, 15, 16, 17, 20, 21, 27, 31,
+32, 33, 34, 35, 36, 62, 64, 67, 72, 61, 66, 71, 86, 94, 12,
+74, 55, 58, 60, 81, 83, 3, 9, 10, 11, 13, 18, 19, 22, 28,
+37, 38, 39, 40, 53, 56, 65, 69, 73, 82, 84, 85, 52, 54, 57,
+80, 87, 95, 96, 1, 8, 10, 13, 12, 6, 2, 0, 11, 9, 5,
+25, 7, 19, 43, 44, 45, 32, 33, 34, 50, 51, 52, 26, 22, 23,
+3, 4, 28, 15, 36, 37, 49, 30, 31, 29, 14, 20, 21, 24, 27,
+17, 39, 46, 16, 35, 53, 38, 40, 41, 42, 18, 47, 48, 0, 1,
+2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16,
+17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31,
+32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46,
+47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61,
+62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76,
+77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91,
+92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106,
+107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121,
+122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136,
+0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14,
+15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 49, 310, 312,
+314, 269, 271, 273, 275, 277, 279, 281, 297, 299, 0, 1, 2, 3, 4,
+5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19,
+20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34,
+35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 50,
+51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65,
+66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80,
+81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95,
+96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110,
+111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125,
+126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140,
+141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155,
+156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170,
+171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185,
+186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200,
+201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215,
+216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230,
+231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245,
+246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260,
+261, 262, 263, 264, 265, 266, 267, 268, 270, 272, 274, 276, 278, 280, 282,
+283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 298,
+300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 311, 313, 315, 316, 317,
+318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332,
+333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347,
+348, 349, 350, 351, 352, 353, 354, 355, 179, 200, 161, 175, 243, 100, 104,
+196, 198, 223, 227, 176, 203, 212, 215, 162, 163, 247, 160, 174, 216, 218,
+158, 172, 96, 157, 166, 170, 197, 199, 217, 219, 159, 173, 178, 201, 99,
+101, 103, 105, 177, 202, 213, 214, 98, 102, 92, 108, 112, 116, 120, 124,
+128, 132, 184, 192, 208, 180, 188, 204, 239, 249, 221, 225, 154, 165, 169,
+51, 53, 55, 57, 59, 63, 67, 71, 75, 79, 83, 87, 95, 119, 123,
+127, 131, 138, 142, 146, 150, 183, 191, 207, 236, 241, 245, 250, 61, 65,
+69, 73, 77, 81, 85, 89, 93, 109, 113, 117, 140, 144, 148, 152, 8,
+9, 14, 15, 20, 21, 50, 52, 54, 56, 91, 107, 111, 115, 121, 125,
+129, 133, 134, 135, 136, 137, 141, 145, 149, 153, 155, 164, 168, 181, 187,
+189, 195, 205, 211, 58, 62, 66, 70, 74, 78, 82, 86, 118, 122, 126,
+130, 0, 1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 13, 16, 17,
+18, 19, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34,
+35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49,
+60, 64, 68, 72, 76, 80, 84, 88, 139, 143, 147, 151, 186, 194, 210,
+222, 226, 238, 242, 246, 248, 94, 97, 156, 167, 171, 228, 230, 90, 106,
+110, 114, 220, 224, 237, 240, 244, 251, 182, 185, 190, 193, 206, 209, 229,
+231, 232, 233, 234, 235, 24, 51, 54, 111, 25, 52, 55, 112, 13, 31,
+34, 37, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12,
+14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 26, 27, 28, 29, 30,
+32, 33, 35, 36, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48,
+49, 50, 53, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67,
+68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82,
+83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97,
+98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 113, 114,
+115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129,
+130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 0,
+1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15,
+16, 17, 8, 16, 18, 7, 26, 30, 34, 104, 14, 15, 17, 19, 22,
+48, 68, 73, 75, 79, 11, 1, 6, 20, 28, 32, 36, 38, 40, 44,
+98, 102, 103, 105, 106, 115, 2, 13, 21, 23, 49, 53, 54, 55, 56,
+57, 58, 60, 61, 64, 66, 67, 69, 76, 83, 85, 95, 100, 10, 0,
+3, 4, 5, 9, 12, 24, 25, 27, 29, 31, 33, 35, 37, 39, 41,
+42, 43, 45, 46, 47, 50, 51, 52, 59, 62, 63, 65, 70, 71, 72,
+74, 77, 78, 80, 81, 82, 84, 86, 87, 88, 89, 90, 91, 92, 93,
+94, 96, 97, 99, 101, 107, 108, 109, 110, 111, 112, 113, 114, 116, 117,
+118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 121, 120, 103, 101, 102,
+86, 111, 124, 27, 44, 100, 10, 13, 82, 92, 98, 78, 88, 94, 42,
+40, 9, 11, 12, 14, 80, 84, 90, 96, 45, 119, 122, 46, 48, 50,
+52, 104, 106, 109, 110, 1, 4, 18, 25, 29, 32, 19, 34, 22, 5,
+8, 38, 107, 39, 16, 17, 21, 26, 30, 33, 43, 87, 125, 41, 83,
+93, 99, 2, 24, 28, 31, 35, 53, 55, 81, 91, 97, 105, 0, 3,
+7, 6, 15, 20, 23, 36, 37, 47, 49, 51, 54, 56, 57, 58, 59,
+60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74,
+75, 76, 77, 79, 85, 89, 95, 108, 112, 113, 114, 115, 116, 117, 118,
+123, 161, 57, 60, 95, 169, 165, 171, 0, 160, 40, 168, 164, 39, 58,
+59, 96, 1, 2, 50, 55, 64, 75, 85, 92, 97, 71, 77, 81, 87,
+6, 16, 30, 44, 181, 170, 49, 56, 63, 76, 86, 91, 98, 174, 180,
+5, 15, 29, 43, 72, 78, 82, 88, 113, 126, 194, 195, 198, 158, 159,
+162, 163, 114, 125, 144, 145, 166, 167, 192, 193, 156, 47, 48, 51, 52,
+53, 54, 61, 62, 65, 66, 83, 84, 89, 90, 93, 94, 99, 100, 101,
+102, 103, 104, 130, 131, 132, 133, 134, 135, 152, 175, 176, 177, 67, 69,
+73, 79, 105, 3, 4, 7, 8, 13, 14, 17, 18, 19, 20, 25, 26,
+27, 28, 31, 32, 33, 34, 37, 38, 41, 42, 45, 46, 68, 70, 74,
+80, 106, 117, 118, 142, 143, 178, 179, 138, 9, 140, 147, 148, 107, 109,
+111, 139, 141, 146, 149, 182, 183, 184, 185, 190, 191, 115, 119, 121, 123,
+137, 155, 157, 187, 189, 197, 10, 11, 12, 21, 22, 23, 24, 35, 36,
+108, 110, 112, 116, 120, 122, 124, 127, 128, 129, 136, 150, 151, 153, 154,
+173, 186, 188, 196, 172, 37, 36, 33, 32, 35, 34, 4, 2, 6, 0,
+44, 45, 47, 46, 42, 43, 39, 41, 40, 38, 5, 7, 3, 1, 51,
+17, 11, 15, 19, 9, 13, 10, 14, 18, 16, 23, 24, 27, 28, 31,
+8, 12, 20, 22, 21, 25, 26, 29, 30, 49, 48, 50, 179, 176, 165,
+178, 171, 175, 174, 177, 162, 168, 190, 188, 202, 200, 33, 75, 93, 51,
+81, 87, 173, 164, 157, 114, 3, 6, 156, 15, 21, 27, 170, 167, 123,
+63, 69, 39, 45, 57, 199, 211, 172, 208, 205, 214, 181, 184, 203, 196,
+169, 198, 201, 160, 161, 137, 163, 125, 209, 119, 183, 215, 166, 207, 204,
+213, 197, 191, 206, 210, 182, 212, 187, 185, 53, 83, 89, 192, 186, 193,
+136, 180, 194, 130, 142, 154, 155, 148, 149, 131, 143, 116, 32, 74, 92,
+122, 101, 107, 110, 113, 98, 104, 71, 65, 41, 47, 59, 2, 11, 14,
+20, 26, 195, 189, 147, 150, 151, 145, 133, 127, 139, 126, 138, 132, 144,
+117, 159, 52, 82, 88, 158, 120, 96, 102, 108, 99, 105, 111, 30, 72,
+90, 8, 5, 9, 0, 124, 97, 103, 109, 12, 18, 24, 48, 78, 84,
+66, 60, 70, 62, 35, 77, 95, 68, 42, 50, 80, 86, 17, 23, 29,
+36, 54, 38, 44, 56, 152, 153, 64, 40, 58, 46, 128, 140, 129, 134,
+135, 141, 146, 106, 100, 112, 121, 7, 4, 115, 118, 34, 61, 76, 94,
+16, 22, 28, 37, 43, 55, 49, 79, 85, 67, 1, 13, 19, 25, 31,
+73, 91, 10, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11,
+12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26,
+27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41,
+42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56,
+57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71,
+72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86,
+87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101,
+102, 103, 104, 105, 106, 107, 108, 109, 110, 2, 5, 8, 11, 14, 17,
+20, 23, 26, 29, 32, 35, 38, 41, 44, 47, 50, 53, 56, 59, 62,
+65, 68, 0, 1, 3, 4, 6, 7, 9, 10, 12, 13, 15, 16, 18,
+19, 21, 22, 24, 25, 27, 28, 30, 31, 33, 34, 36, 37, 39, 40,
+42, 43, 45, 46, 48, 49, 51, 52, 54, 55, 57, 58, 60, 61, 63,
+64, 66, 67, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11,
+53, 52, 72, 71, 73, 70, 97, 98, 96, 99, 68, 80, 82, 74, 77,
+78, 5, 22, 25, 41, 49, 1, 9, 17, 95, 103, 102, 104, 75, 76,
+79, 66, 69, 93, 67, 94, 81, 83, 84, 85, 86, 87, 88, 89, 90,
+91, 106, 107, 92, 100, 101, 105, 32, 34, 38, 12, 15, 54, 58, 62,
+39, 14, 36, 57, 61, 65, 31, 35, 47, 29, 45, 42, 28, 44, 30,
+46, 18, 16, 55, 59, 63, 40, 21, 26, 50, 3, 7, 11, 19, 0,
+4, 8, 33, 37, 20, 23, 24, 27, 43, 48, 51, 2, 6, 10, 13,
+56, 60, 64, 0, 2, 1, 11, 5, 6, 12, 3, 4, 9, 10, 14,
+7, 8, 13, 21, 36, 18, 23, 24, 25, 26, 27, 28, 29, 30, 31,
+32, 33, 34, 35, 37, 15, 16, 22, 17, 19, 20, 0, 1, 0, 1,
+2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 48, 5, 34, 63,
+4, 62, 50, 47, 49, 33, 35, 36, 29, 3, 6, 61, 64, 54, 58,
+45, 32, 51, 56, 60, 70, 57, 40, 46, 11, 55, 59, 44, 53, 65,
+72, 14, 15, 17, 20, 22, 27, 66, 68, 69, 71, 26, 19, 67, 1,
+9, 12, 7, 25, 24, 28, 30, 31, 10, 8, 16, 18, 21, 23, 52,
+0, 2, 41, 42, 43, 13, 37, 38, 39, 107, 15, 97, 100, 101, 105,
+99, 33, 81, 79, 80, 34, 92, 95, 86, 48, 118, 41, 43, 119, 35,
+36, 37, 75, 102, 103, 104, 23, 24, 25, 26, 31, 4, 17, 19, 21,
+22, 27, 38, 39, 52, 56, 58, 64, 70, 72, 82, 47, 87, 51, 55,
+57, 77, 78, 98, 116, 117, 28, 29, 30, 32, 40, 42, 5, 7, 9,
+93, 96, 1, 2, 3, 6, 8, 10, 12, 54, 59, 65, 66, 68, 69,
+71, 73, 74, 76, 83, 84, 89, 90, 106, 109, 111, 112, 114, 44, 45,
+46, 49, 50, 11, 53, 16, 18, 20, 0, 13, 14, 60, 61, 62, 63,
+67, 85, 88, 91, 94, 108, 110, 113, 115, 13, 4, 46, 47, 2, 6,
+37, 38, 43, 51, 54, 55, 58, 67, 69, 0, 1, 3, 5, 7, 8,
+9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24,
+25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 39, 40, 41,
+42, 44, 45, 48, 49, 50, 52, 53, 56, 57, 59, 60, 61, 62, 63,
+64, 65, 66, 68, 70, 71, 72, 73, 74, 75, 7, 4, 6, 5, 2,
+3, 9, 8, 0, 1, 23, 22, 24, 25, 14, 26, 30, 34, 10, 11,
+12, 13, 15, 16, 17, 18, 19, 20, 21, 27, 28, 29, 31, 32, 33,
+35, 36, 37, 0, 1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,
+10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24,
+25, 26, 27, 28, 29, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,
+10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24,
+25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39,
+40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54,
+55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69,
+70, 71, 72, 73, 0, 1, 2, 3, 4, 4, 0, 1, 2, 3, 5,
+6, 7, 8, 0, 1, 2, 3, 4, 5, 323, 139, 149, 165, 207, 234,
+320, 296, 300, 20, 44, 45, 52, 138, 147, 189, 191, 192, 193, 210, 213,
+215, 217, 226, 232, 236, 238, 293, 322, 325, 74, 122, 306, 150, 264, 4,
+5, 197, 201, 117, 172, 188, 195, 203, 222, 244, 245, 265, 271, 291, 292,
+332, 2, 18, 19, 22, 34, 46, 57, 82, 84, 85, 88, 89, 120, 130,
+133, 134, 136, 137, 140, 142, 143, 145, 146, 148, 153, 159, 160, 161, 162,
+166, 169, 173, 184, 185, 209, 211, 219, 228, 229, 231, 237, 240, 242, 243,
+246, 247, 248, 251, 253, 254, 257, 286, 294, 298, 324, 335, 33, 98, 118,
+200, 204, 303, 305, 327, 100, 196, 205, 275, 123, 126, 282, 0, 1, 3,
+6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 21, 23, 24,
+25, 26, 27, 28, 29, 30, 31, 32, 35, 36, 37, 38, 39, 40, 41,
+42, 43, 47, 48, 49, 50, 51, 53, 54, 55, 56, 58, 59, 60, 61,
+62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 75, 76, 77,
+78, 79, 80, 81, 83, 86, 87, 90, 91, 92, 93, 94, 95, 96, 97,
+99, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114,
+115, 116, 119, 121, 124, 125, 127, 128, 129, 131, 132, 135, 141, 144, 151,
+152, 154, 155, 156, 157, 158, 163, 164, 167, 168, 170, 171, 174, 175, 176,
+177, 178, 179, 180, 181, 182, 183, 186, 187, 190, 194, 198, 199, 202, 206,
+208, 212, 214, 216, 218, 220, 221, 223, 224, 225, 227, 230, 233, 235, 239,
+241, 249, 250, 252, 255, 256, 258, 259, 260, 261, 262, 263, 266, 267, 268,
+269, 270, 272, 273, 274, 276, 277, 278, 279, 280, 281, 283, 284, 285, 287,
+288, 289, 290, 295, 297, 299, 301, 302, 304, 307, 308, 309, 310, 311, 312,
+313, 314, 315, 316, 317, 318, 319, 321, 326, 328, 329, 330, 331, 333, 334,
+336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350,
+351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 0, 1,
+2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16,
+17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31,
+32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46,
+47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61,
+62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76,
+77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91,
+92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106,
+107, 108, 109, 4, 5, 18, 20, 0, 1, 2, 3, 6, 7, 8, 9,
+10, 11, 12, 13, 14, 15, 16, 17, 19, 21, 22, 23, 24, 25, 26,
+0, 1, 2, 3, 4, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,
+10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24,
+25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39,
+40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54,
+55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69,
+70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84,
+85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99,
+100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114,
+115, 116, 117, 118, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10,
+11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25,
+26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40,
+41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55,
+56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70,
+71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85,
+86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100,
+101, 102, 103, 104, 105, 106, 107, 38, 40, 39, 65, 63, 66, 26, 28,
+11, 20, 24, 32, 108, 8, 47, 45, 48, 49, 105, 109, 139, 75, 124,
+18, 22, 30, 34, 111, 102, 114, 118, 77, 123, 133, 1, 5, 17, 46,
+69, 73, 81, 29, 78, 101, 37, 50, 64, 9, 51, 55, 61, 76, 68,
+72, 84, 2, 6, 14, 19, 23, 35, 67, 71, 79, 83, 107, 113, 115,
+117, 137, 147, 36, 10, 27, 53, 57, 59, 135, 13, 103, 104, 126, 3,
+7, 15, 41, 44, 54, 58, 60, 70, 74, 80, 82, 0, 4, 12, 16,
+21, 25, 31, 33, 42, 43, 52, 56, 62, 85, 88, 91, 94, 106, 110,
+112, 116, 119, 120, 121, 122, 125, 127, 128, 129, 130, 131, 132, 134, 136,
+138, 140, 141, 142, 143, 144, 145, 146, 148, 89, 86, 87, 90, 92, 93,
+95, 96, 97, 98, 99, 100, 0, 1, 2, 3, 4, 5, 6, 7, 8,
+9, 10, 11, 12, 1, 2, 4, 32, 36, 38, 3, 34, 28, 31, 35,
+37, 6, 12, 14, 19, 20, 22, 33, 39, 43, 53, 54, 55, 56, 57,
+61, 67, 69, 70, 71, 30, 0, 5, 7, 8, 9, 10, 11, 13, 15,
+16, 17, 18, 21, 23, 24, 25, 26, 27, 29, 40, 41, 42, 44, 45,
+46, 47, 48, 49, 50, 51, 52, 58, 59, 60, 62, 63, 64, 65, 66,
+68, 72, 16, 28, 34, 38, 42, 2, 14, 15, 18, 19, 26, 29, 30,
+31, 32, 33, 40, 43, 0, 1, 3, 4, 5, 6, 7, 8, 9, 10,
+11, 12, 13, 17, 20, 21, 22, 23, 24, 25, 27, 35, 36, 37, 39,
+41, 2, 0, 7, 1, 86, 5, 74, 21, 89, 85, 88, 3, 4, 6,
+51, 23, 111, 70, 56, 90, 98, 27, 78, 53, 68, 80, 87, 116, 12,
+25, 109, 114, 103, 108, 110, 9, 57, 62, 65, 91, 96, 99, 69, 71,
+72, 73, 81, 49, 50, 52, 93, 101, 36, 55, 64, 125, 19, 20, 22,
+106, 41, 8, 11, 13, 29, 34, 37, 54, 102, 107, 118, 123, 126, 14,
+15, 16, 18, 82, 83, 84, 92, 97, 100, 104, 112, 17, 32, 121, 94,
+24, 113, 76, 77, 79, 10, 61, 95, 26, 28, 30, 31, 35, 38, 39,
+40, 46, 58, 59, 60, 63, 66, 67, 75, 105, 115, 117, 119, 120, 124,
+127, 128, 33, 42, 43, 44, 45, 47, 48, 122, 0, 1, 2, 3, 4,
+5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19,
+20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 2, 0, 1, 3, 4,
+5, 6, 7, 8, 82, 11, 26, 19, 75, 6, 9, 47, 54, 66, 73,
+80, 87, 0, 3, 4, 5, 18, 23, 24, 25, 44, 53, 62, 63, 65,
+67, 68, 69, 70, 72, 76, 77, 86, 88, 89, 90, 91, 92, 93, 22,
+10, 15, 21, 49, 58, 50, 59, 83, 1, 2, 7, 8, 12, 13, 14,
+16, 17, 20, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38,
+39, 40, 41, 42, 43, 45, 46, 48, 51, 52, 55, 56, 57, 60, 61,
+64, 71, 74, 78, 79, 81, 84, 85, 0, 1, 0, 1, 34, 2, 12,
+13, 32, 37, 76, 3, 10, 11, 19, 20, 21, 22, 23, 27, 28, 29,
+30, 35, 53, 55, 78, 4, 16, 17, 5, 6, 7, 8, 9, 14, 15,
+18, 24, 25, 26, 31, 33, 36, 38, 39, 40, 41, 42, 43, 44, 45,
+46, 47, 48, 49, 50, 51, 52, 54, 56, 57, 58, 59, 60, 61, 62,
+63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 77, 79,
+80, 81, 82, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11,
+12, 13, 14, 15, 5, 30, 31, 0, 1, 2, 3, 4, 6, 7, 8,
+9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23,
+24, 25, 26, 27, 28, 29, 32, 33, 34, 35, 36, 37, 59, 0, 1,
+2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16,
+17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31,
+32, 33, 34, 35, 36, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47,
+48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 60, 61, 62, 63,
+64, 65, 36, 61, 20, 1, 19, 126, 127, 60, 56, 33, 34, 35, 21,
+22, 52, 59, 67, 71, 72, 63, 65, 66, 32, 45, 57, 84, 91, 114,
+125, 64, 0, 2, 3, 68, 70, 73, 26, 46, 53, 54, 55, 58, 115,
+131, 74, 12, 96, 97, 99, 41, 42, 44, 49, 50, 75, 80, 83, 85,
+103, 106, 107, 108, 109, 110, 111, 112, 113, 116, 117, 118, 119, 120, 124,
+13, 62, 76, 77, 78, 86, 128, 129, 94, 23, 24, 25, 27, 28, 29,
+30, 31, 37, 38, 39, 40, 43, 47, 48, 51, 4, 5, 6, 7, 8,
+9, 10, 11, 14, 15, 16, 17, 18, 69, 79, 81, 82, 87, 88, 89,
+90, 92, 93, 95, 98, 100, 101, 102, 104, 105, 121, 122, 123, 130, 132,
+3, 2, 10, 11, 1, 4, 6, 8, 5, 7, 9, 0, 31, 30, 15,
+43, 49, 53, 57, 45, 12, 13, 16, 18, 32, 34, 36, 14, 33, 35,
+37, 21, 23, 17, 19, 20, 22, 24, 25, 26, 27, 28, 29, 42, 48,
+52, 56, 38, 41, 44, 46, 50, 54, 39, 40, 47, 51, 55, 35, 36,
+3, 5, 7, 9, 11, 2, 17, 30, 34, 14, 20, 23, 4, 6, 13,
+16, 18, 19, 22, 24, 25, 31, 32, 33, 8, 10, 12, 15, 21, 0,
+1, 26, 27, 28, 29, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,
+10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24,
+25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39,
+40, 41, 42, 43, 44, 45, 46, 47, 5, 4, 6, 21, 0, 3, 18,
+16, 15, 17, 9, 12, 20, 7, 14, 19, 8, 10, 11, 13, 1, 2,
+167, 168, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12,
+13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27,
+28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42,
+43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57,
+58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72,
+73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87,
+88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102,
+103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117,
+118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132,
+133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147,
+148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162,
+163, 164, 165, 166, 0, 1, 2, 3, 4, 5, 6, 7, 8, 0, 1,
+2, 3, 7, 6, 8, 9, 16, 2, 18, 19, 28, 27, 24, 25, 26,
+17, 3, 20, 22, 21, 23, 13, 0, 4, 14, 1, 5, 12, 10, 11,
+15, 8, 9, 10, 11, 0, 1, 2, 3, 4, 5, 6, 7, 12, 13,
+14, 15, 16, 17, 18, 19, 0, 1, 2, 3, 4, 5, 6, 7, 8,
+9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23,
+24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38,
+39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53,
+54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68,
+69, 70, 71, 72, 73, 18, 22, 28, 35, 53, 54, 57, 59, 0, 1,
+2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16,
+17, 19, 20, 21, 23, 24, 25, 26, 27, 29, 30, 31, 32, 33, 34,
+36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50,
+51, 52, 55, 56, 58, 9, 13, 4, 6, 11, 15, 8, 12, 5, 7,
+10, 14, 2, 3, 0, 1, 0, 3, 4, 7, 1, 2, 5, 6, 8,
+9, 10, 0, 1, 2, 65, 64, 66, 52, 46, 49, 53, 59, 44, 48,
+45, 57, 34, 25, 26, 27, 36, 56, 24, 43, 47, 0, 1, 2, 3,
+4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18,
+19, 20, 21, 22, 23, 28, 29, 30, 31, 32, 33, 35, 37, 38, 39,
+40, 41, 42, 50, 51, 54, 55, 58, 60, 61, 62, 63, 0, 1, 2,
+3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17,
+18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32,
+33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47,
+48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62,
+63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77,
+78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92,
+93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107,
+108, 109, 110, 111, 112, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,
+10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24,
+25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39,
+40, 41, 42, 43, 44, 45, 46, 47, 48, 0, 1, 2, 3, 4, 5,
+6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20,
+21, 22, 23, 24, 25, 26, 0, 1, 2, 3, 4, 5, 6, 7, 8,
+9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23,
+24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38,
+39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53,
+54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68,
+69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83,
+84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98,
+99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113,
+114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128,
+129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143,
+144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158,
+159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173,
+174, 175, 84, 86, 5, 16, 18, 21, 81, 82, 3, 6, 10, 12, 14,
+22, 24, 26, 29, 39, 41, 42, 54, 56, 58, 60, 62, 75, 0, 1,
+2, 4, 7, 8, 9, 11, 13, 15, 17, 19, 20, 23, 25, 27, 28,
+30, 31, 32, 33, 34, 35, 36, 37, 38, 40, 43, 44, 45, 46, 47,
+48, 49, 50, 51, 52, 53, 55, 57, 59, 61, 63, 64, 65, 66, 67,
+68, 69, 70, 71, 72, 73, 74, 76, 77, 78, 79, 80, 83, 85, 0,
+2, 4, 6, 14, 16, 18, 20, 8, 31, 10, 11, 24, 25, 28, 29,
+32, 33, 36, 38, 40, 41, 44, 45, 9, 30, 1, 3, 5, 7, 12,
+13, 15, 17, 19, 21, 22, 23, 26, 27, 34, 35, 37, 39, 42, 43,
+46, 47, 27, 28, 35, 36, 45, 46, 13, 14, 59, 60, 0, 1, 2,
+3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 15, 16, 17, 18, 19,
+20, 21, 22, 23, 24, 25, 26, 29, 30, 31, 32, 33, 34, 37, 38,
+39, 40, 41, 42, 43, 44, 47, 48, 49, 50, 51, 52, 53, 54, 55,
+56, 57, 58, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72,
+73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87,
+88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102,
+103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117,
+118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132,
+133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147,
+148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162,
+163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177,
+178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192,
+193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207,
+208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222,
+223, 224, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12,
+13, 14, 15, 16, 17, 0, 4, 1, 2, 3, 7, 5, 9, 6, 8,
+0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14,
+15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29,
+30, 31, 32, 33, 34, 35, 36, 37, 8, 11, 9, 10, 0, 1, 4,
+5, 2, 3, 6, 7, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,
+10, 11, 12, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11,
+12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26,
+27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41,
+42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56,
+57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71,
+72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86,
+87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101,
+102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116,
+117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131,
+132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146,
+147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161,
+162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176,
+177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191,
+192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206,
+207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221,
+222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236,
+237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251,
+252, 253, 254, 255, 256, 257, 0, 1, 2, 3, 4, 5, 6, 7, 8,
+9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23,
+35, 1, 2, 20, 29, 32, 33, 34, 0, 3, 4, 5, 6, 7, 8,
+9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 22, 23, 24,
+25, 26, 27, 28, 30, 31, 36, 37, 38, 39, 40, 41, 42, 43, 44,
+45, 46, 47, 48, 49, 50, 51, 52, 53, 0, 1, 2, 3, 4, 5,
+6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20,
+21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35,
+36, 37, 38, 39, 40, 0, 1, 0, 1, 2, 3, 4, 5, 0, 1,
+2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16,
+17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31,
+32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46,
+47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61,
+62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76,
+77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91,
+92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106,
+107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121,
+122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136,
+137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151,
+152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166,
+167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181,
+182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196,
+197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211,
+212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226,
+227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241,
+242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256,
+257, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13,
+14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28,
+29, 0, 1, 4, 27, 19, 21, 5, 18, 6, 8, 10, 11, 12, 14,
+15, 16, 17, 20, 0, 1, 2, 3, 7, 9, 13, 22, 23, 24, 25,
+26, 28, 29, 30, 31, 32, 33, 34, 35, 0, 1, 2, 3, 4, 0,
+1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15,
+16, 17, 18, 19, 112, 110, 113, 111, 29, 37, 18, 93, 96, 97, 99,
+98, 92, 100, 104, 105, 108, 101, 61, 62, 69, 77, 86, 70, 78, 85,
+68, 76, 87, 60, 54, 55, 59, 30, 38, 73, 81, 90, 94, 19, 14,
+16, 71, 79, 84, 50, 51, 57, 0, 2, 4, 6, 8, 10, 12, 20,
+26, 34, 44, 64, 72, 80, 91, 40, 63, 13, 5, 7, 9, 11, 15,
+1, 3, 39, 21, 48, 49, 56, 95, 74, 82, 89, 31, 25, 33, 45,
+65, 43, 103, 106, 107, 109, 17, 52, 53, 58, 28, 36, 41, 23, 27,
+35, 47, 42, 66, 22, 24, 32, 46, 67, 75, 83, 88, 102, 6, 7,
+0, 1, 3, 5, 2, 4, 50, 48, 52, 54, 56, 2, 6, 14, 18,
+22, 26, 30, 34, 49, 53, 55, 57, 58, 59, 60, 0, 1, 3, 4,
+5, 7, 8, 9, 10, 11, 12, 13, 15, 16, 17, 19, 20, 21, 23,
+24, 25, 27, 28, 29, 31, 32, 33, 35, 36, 37, 38, 39, 40, 41,
+42, 43, 44, 45, 46, 47, 51, 23, 24, 25, 26, 16, 18, 20, 22,
+15, 17, 19, 21, 6, 8, 10, 12, 14, 0, 2, 1, 3, 4, 5,
+11, 7, 9, 13, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10,
+11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25,
+26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40,
+41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55,
+56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70,
+71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85,
+86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100,
+101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115,
+116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130,
+131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 1, 0,
+2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 0, 1,
+2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16,
+17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31,
+32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46,
+47, 48, 49, 50, 51, 52, 53, 54, 55, 0, 1, 2, 3, 4, 5,
+6, 7, 8, 9, 10, 11, 12, 0, 1, 2, 112, 114, 19, 61, 70,
+18, 111, 3, 5, 6, 66, 82, 109, 110, 113, 58, 102, 104, 31, 35,
+36, 37, 38, 71, 77, 86, 93, 95, 96, 108, 47, 25, 45, 46, 53,
+55, 75, 40, 41, 42, 52, 60, 83, 84, 24, 26, 11, 12, 22, 23,
+28, 30, 57, 63, 65, 69, 81, 90, 106, 32, 33, 34, 49, 50, 51,
+72, 73, 78, 79, 87, 88, 94, 4, 7, 8, 9, 10, 20, 21, 29,
+39, 43, 44, 48, 54, 56, 59, 62, 64, 67, 68, 74, 76, 80, 89,
+91, 92, 100, 101, 115, 116, 16, 99, 13, 14, 15, 17, 27, 85, 97,
+98, 103, 105, 107, 117, 7, 10, 19, 0, 1, 2, 3, 4, 5, 6,
+8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 0, 1, 2, 3, 4,
+5, 7, 17, 0, 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12,
+13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 0, 1, 0, 7, 11,
+5, 6, 10, 3, 4, 1, 2, 8, 9, 12, 0, 1, 2, 3, 4,
+0, 1, 2, 3, 4, 1, 3, 0, 2, 4, 5, 6, 7, 8, 9,
+10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 0, 1, 2, 3, 4,
+5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19,
+20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34,
+35, 36, 0, 1, 75, 78, 76, 15, 79, 77, 8, 85, 14, 0, 4,
+10, 81, 83, 84, 87, 12, 80, 82, 11, 9, 2, 6, 86, 36, 38,
+37, 13, 1, 5, 3, 7, 49, 22, 24, 28, 32, 50, 58, 63, 66,
+71, 23, 25, 29, 33, 47, 48, 51, 52, 53, 54, 46, 17, 19, 16,
+20, 21, 26, 27, 30, 31, 34, 35, 39, 40, 41, 42, 43, 44, 45,
+55, 56, 57, 59, 60, 61, 62, 64, 65, 67, 68, 69, 70, 72, 73,
+74, 18, 11, 22, 1, 3, 5, 7, 9, 10, 13, 15, 16, 18, 20,
+26, 28, 0, 2, 4, 6, 8, 12, 14, 17, 19, 21, 23, 24, 25,
+27, 29, 47, 45, 43, 48, 42, 44, 49, 46, 33, 11, 27, 31, 37,
+38, 63, 17, 18, 21, 23, 25, 29, 32, 35, 77, 83, 97, 0, 5,
+9, 15, 16, 19, 39, 41, 53, 69, 20, 22, 24, 26, 28, 30, 34,
+36, 76, 82, 96, 102, 103, 1, 3, 7, 13, 40, 51, 57, 61, 67,
+71, 73, 75, 81, 87, 95, 101, 106, 107, 70, 2, 4, 6, 8, 10,
+12, 14, 50, 52, 54, 55, 56, 58, 59, 60, 62, 64, 65, 66, 68,
+72, 74, 78, 79, 80, 84, 85, 86, 88, 89, 90, 91, 92, 93, 94,
+98, 99, 100, 104, 105, 108, 109, 0, 1, 46, 43, 47, 42, 3, 44,
+5, 20, 4, 18, 24, 26, 30, 38, 34, 36, 7, 9, 22, 2, 45,
+21, 40, 19, 35, 37, 39, 32, 12, 14, 28, 10, 16, 41, 25, 27,
+31, 6, 8, 23, 33, 11, 17, 13, 15, 29, 52, 50, 53, 48, 49,
+51, 0, 1, 0, 1, 2, 3, 4, 5, 0, 1, 2, 3, 4, 5,
+6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20,
+21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35,
+36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50,
+51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65,
+66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80,
+81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95,
+96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110,
+111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125,
+126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140,
+141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155,
+156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170,
+171, 172, 173, 174, 175, 176, 177, 178, 179, 0, 1, 2, 3, 4, 5,
+6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20,
+21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35,
+36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50,
+51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65,
+66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80,
+81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95,
+96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110,
+111, 112, 113, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11,
+12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26,
+27, 28, 29, 30, 31, 32, 33, 34, 35, 5, 15, 19, 27, 31, 35,
+39, 43, 96, 104, 120, 121, 131, 0, 1, 2, 10, 12, 24, 25, 46,
+47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 76, 77, 78, 79, 80,
+81, 82, 83, 84, 85, 86, 87, 88, 90, 91, 93, 95, 97, 99, 101,
+103, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118,
+119, 122, 123, 124, 125, 126, 127, 128, 129, 130, 132, 133, 134, 135, 136,
+137, 138, 140, 144, 148, 152, 156, 160, 164, 3, 4, 6, 7, 8, 9,
+11, 13, 14, 16, 17, 18, 20, 21, 22, 23, 26, 28, 29, 30, 32,
+33, 34, 36, 37, 38, 40, 41, 42, 44, 45, 57, 58, 59, 60, 61,
+62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 89,
+92, 94, 98, 100, 102, 139, 141, 142, 143, 145, 146, 147, 149, 150, 151,
+153, 154, 155, 157, 158, 159, 161, 162, 163, 165, 166, 36, 57, 60, 65,
+68, 114, 135, 156, 161, 162, 165, 170, 176, 179, 182, 183, 188, 191, 194,
+197, 198, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12,
+13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27,
+28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43,
+44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 58, 59,
+61, 62, 63, 64, 66, 67, 69, 70, 71, 72, 73, 74, 75, 76, 77,
+78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92,
+93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107,
+108, 109, 110, 111, 112, 113, 115, 116, 117, 118, 119, 120, 121, 122, 123,
+124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 136, 137, 138, 139,
+140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154,
+155, 157, 158, 159, 160, 163, 164, 166, 167, 168, 169, 171, 172, 173, 174,
+175, 177, 178, 180, 181, 184, 185, 186, 187, 189, 190, 192, 193, 195, 196,
+199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213,
+214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228,
+229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243,
+244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258,
+259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273,
+274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288,
+289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303,
+304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318,
+319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333,
+334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348,
+349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363,
+364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378,
+379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393,
+394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408,
+409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423,
+424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438,
+439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453,
+454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468,
+469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483,
+484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498,
+499, 500, 501, 502, 503, 504, 505, 506, 0, 1, 2, 3, 4, 5, 6,
+7, 8, 9, 10, 11, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,
+10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24,
+25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39,
+40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54,
+55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69,
+70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84,
+85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99,
+100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114,
+115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129,
+130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144,
+145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159,
+160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174,
+175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189,
+190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204,
+205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219,
+220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234,
+235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249,
+250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264,
+265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279,
+280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294,
+295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309,
+310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324,
+325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339,
+340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354,
+355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369,
+370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384,
+385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399,
+400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414,
+415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429,
+430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444,
+445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459,
+460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474,
+475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489,
+490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504,
+505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519,
+520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534,
+535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549,
+550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564,
+565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579,
+580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594,
+595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609,
+610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624,
+625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639,
+640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654,
+655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669,
+0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14,
+15, 16, 17, 18, 19, 20, 21, 0, 1, 2, 3, 4, 5, 6, 7,
+8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22,
+23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37,
+38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52,
+53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67,
+68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82,
+83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97,
+98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112,
+113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127,
+128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142,
+143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157,
+158, 159, 160, 161, 162, 163, 164, 165, 166, 0, 1, 2, 3, 4, 5,
+6, 7, 8, 9, 10, 11, 12, 13, 14, 0, 1, 2, 3, 4, 5,
+0, 3, 5, 10, 16, 18, 94, 4, 6, 7, 8, 17, 37, 44, 48,
+51, 56, 66, 69, 75, 79, 82, 84, 88, 98, 99, 102, 1, 2, 9,
+11, 12, 13, 14, 15, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28,
+29, 30, 31, 32, 33, 34, 35, 36, 38, 39, 40, 41, 42, 43, 45,
+46, 47, 49, 50, 52, 53, 54, 55, 57, 58, 59, 60, 61, 62, 63,
+64, 65, 67, 68, 70, 71, 72, 73, 74, 76, 77, 78, 80, 81, 83,
+85, 86, 87, 89, 90, 91, 92, 93, 95, 96, 97, 100, 101, 103, 104,
+105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119,
+120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134,
+135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149,
+150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164,
+165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179,
+180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194,
+81, 18, 24, 33, 69, 83, 19, 25, 35, 71, 0, 1, 2, 3, 4,
+5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 20, 21,
+22, 23, 26, 27, 28, 29, 30, 31, 32, 34, 36, 37, 38, 39, 40,
+41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55,
+56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 70, 72,
+73, 74, 75, 76, 77, 78, 79, 80, 82, 84, 85, 86, 87, 88, 89,
+90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104,
+105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119,
+120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134,
+135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149,
+150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164,
+165, 166, 167, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11,
+12, 13, 14, 15, 16, 17, 4, 5, 6, 31, 32, 39, 40, 41, 0,
+1, 2, 3, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18,
+19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 33, 34, 35,
+36, 37, 38, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53,
+54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68,
+69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83,
+84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98,
+99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113,
+114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128,
+129, 130, 131, 132, 133, 134, 135, 136, 0, 1, 3, 22, 23, 26, 34,
+0, 1, 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15,
+16, 17, 18, 19, 20, 21, 24, 25, 27, 28, 29, 30, 31, 32, 33,
+35, 36, 37, 38, 39, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,
+10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 0,
+1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15,
+16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30,
+31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45,
+46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60,
+61, 62, 63, 64, 65, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,
+10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24,
+25, 26, 27, 28, 29, 30, 31, 32, 33, 51, 0, 1, 2, 3, 4,
+5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19,
+20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34,
+35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49,
+50, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65,
+66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 0, 1, 2,
+3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17,
+18, 19, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12,
+13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27,
+28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 0, 1,
+2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16,
+17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31,
+32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46,
+47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61,
+62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76,
+77, 74, 75, 92, 93, 116, 143, 144, 149, 14, 15, 34, 35, 36, 37,
+68, 69, 98, 99, 104, 105, 110, 111, 154, 155, 156, 157, 166, 167, 168,
+169, 178, 179, 180, 181, 4, 5, 6, 7, 22, 23, 24, 25, 46, 47,
+50, 51, 56, 57, 60, 61, 80, 82, 85, 87, 121, 122, 123, 124, 133,
+134, 135, 136, 190, 191, 194, 197, 202, 203, 206, 207, 212, 213, 216, 217,
+0, 1, 2, 3, 8, 9, 10, 11, 12, 13, 16, 17, 18, 19, 20,
+21, 26, 27, 28, 29, 30, 31, 32, 33, 38, 39, 40, 41, 42, 43,
+44, 45, 48, 49, 52, 53, 54, 55, 58, 59, 62, 63, 64, 65, 66,
+67, 70, 71, 72, 73, 76, 77, 78, 79, 81, 83, 84, 86, 88, 89,
+90, 91, 94, 95, 96, 97, 100, 101, 102, 103, 106, 107, 108, 109, 112,
+113, 114, 115, 117, 118, 119, 120, 125, 126, 127, 128, 129, 130, 131, 132,
+137, 138, 139, 140, 141, 142, 145, 146, 147, 148, 150, 151, 152, 153, 158,
+159, 160, 161, 162, 163, 164, 165, 170, 171, 172, 173, 174, 175, 176, 177,
+182, 183, 184, 185, 186, 187, 188, 189, 192, 193, 195, 196, 198, 199, 200,
+201, 204, 205, 208, 209, 210, 211, 214, 215, 218, 219, 220, 221, 0, 1,
+2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16,
+17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31,
+32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 0, 1, 2,
+3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17,
+18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32,
+33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47,
+48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62,
+63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77,
+78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92,
+93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107,
+108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122,
+123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137,
+138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152,
+153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167,
+168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182,
+183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197,
+198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212,
+213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227,
+228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242,
+243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257,
+258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272,
+273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287,
+288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302,
+303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317,
+318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332,
+333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347,
+348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362,
+363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377,
+0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14,
+15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29,
+30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44,
+45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 0, 1, 2, 3,
+4, 5, 6, 7, 0, 1, 14, 15, 16, 17, 2, 3, 4, 5, 8,
+9, 10, 11, 12, 13, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27,
+28, 29, 30, 31, 32, 33, 11, 2, 5, 10, 8, 4, 9, 1, 7,
+3, 0, 6, 42, 45, 36, 39, 12, 16, 18, 22, 38, 41, 44, 47,
+37, 40, 43, 46, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10,
+11, 13, 14, 15, 17, 19, 20, 21, 23, 24, 25, 26, 27, 28, 29,
+30, 31, 32, 33, 34, 35, 0, 1, 2, 3, 4, 5, 6, 7, 8,
+9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23,
+24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38,
+39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53,
+54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68,
+69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83,
+84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98,
+99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113,
+114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128,
+129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143,
+144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158,
+159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173,
+174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188,
+189, 190, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12,
+13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27,
+28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42,
+43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57,
+58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72,
+73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87,
+88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102,
+103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 4, 5,
+6, 8, 1, 3, 0, 2, 7, 9, 0, 1, 2, 3, 4, 5, 6,
+7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21,
+22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36,
+37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51,
+52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66,
+67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81,
+82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96,
+97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111,
+112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126,
+127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141,
+142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156,
+157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171,
+172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186,
+187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201,
+202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216,
+217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231,
+232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246,
+247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261,
+262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276,
+277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291,
+292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306,
+307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321,
+322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336,
+337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351,
+352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366,
+367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381,
+382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396,
+397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411,
+412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426,
+427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441,
+442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456,
+457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471,
+472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486,
+487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501,
+502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516,
+517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531,
+532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546,
+547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561,
+562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576,
+577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591,
+592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606,
+607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621,
+622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636,
+637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651,
+652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666,
+667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681,
+682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696,
+697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711,
+712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726,
+727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741,
+742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756,
+757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771,
+772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786,
+787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801,
+802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816,
+817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831,
+832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846,
+847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861,
+862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876,
+877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891,
+892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906,
+907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921,
+922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936,
+937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951,
+952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966,
+967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981,
+982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996,
+997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011,
+1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026,
+1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041,
+1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056,
+1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071,
+1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086,
+1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101,
+1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116,
+1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131,
+1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146,
+1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161,
+1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176,
+1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191,
+1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206,
+1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221,
+1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236,
+1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251,
+1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266,
+1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281,
+1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296,
+1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311,
+1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326,
+1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341,
+1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356,
+1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371,
+1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386,
+1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401,
+1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416,
+1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431,
+1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446,
+1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461,
+1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476,
+1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491,
+1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506,
+1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521,
+1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536,
+1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551,
+1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566,
+1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581,
+1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596,
+1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611,
+1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626,
+1627, 1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641,
+1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656,
+1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671,
+1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683, 1684, 1685, 1686,
+1687, 1688, 1689, 1690, 1691, 1692, 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701,
+1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710, 1711, 1712, 1713, 1714, 1715, 1716,
+1717, 1718, 1719, 1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1728, 1729, 1730, 1731,
+1732, 1733, 1734, 1735, 1736, 1737, 1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1746,
+1747, 1748, 1749, 1750, 1751, 1752, 1753, 1754, 1755, 1756, 1757, 1758, 1759, 1760, 1761,
+1762, 1763, 1764, 1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773, 1774, 1775, 1776,
+1777, 1778, 1779, 1780, 1781, 1782, 1783, 1784, 1785, 1786, 1787, 1788, 1789, 1790, 1791,
+1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800, 1801, 1802, 1803, 1804, 1805, 1806,
+1807, 1808, 1809, 1810, 1811, 1812, 1813, 1814, 1815, 1816, 1817, 1818, 1819, 1820, 1821,
+1822, 1823, 1824, 1825, 1826, 1827, 1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835, 1836,
+1837, 1838, 1839, 1840, 1841, 1842, 1843, 1844, 1845, 1846, 1847, 1848, 1849, 1850, 1851,
+1852, 1853, 1854, 1855, 1856, 1857, 1858, 1859, 1860, 1861, 1862, 1863, 1864, 1865, 1866,
+1867, 1868, 1869, 1870, 1871, 1872, 1873, 1874, 1875, 1876, 1877, 1878, 1879, 1880, 1881,
+1882, 1883, 1884, 1885, 1886, 1887, 1888, 1889, 1890, 1891, 1892, 1893, 1894, 1895, 1896,
+1897, 1898, 1899, 1900, 1901, 1902, 1903, 1904, 1905, 1906, 1907, 1908, 1909, 1910, 1911,
+1912, 1913, 1914, 1915, 1916, 1917, 1918, 1919, 1920, 1921, 1922, 1923, 1924, 1925, 1926,
+1927, 1928, 1929, 1930, 1931, 1932, 1933, 1934, 1935, 1936, 1937, 1938, 1939, 1940, 1941,
+1942, 1943, 1944, 1945, 1946, 1947, 1948, 1949, 1950, 1951, 1952, 1953, 1954, 1955, 1956,
+1957, 1958, 1959, 1960, 1961, 1962, 1963, 1964, 1965, 1966, 1967, 1968, 1969, 1970, 1971,
+1972, 1973, 1974, 1975, 1976, 1977, 1978, 1979, 1980, 1981, 1982, 1983, 1984, 1985, 1986,
+1987, 1988, 1989, 1990, 1991, 1992, 1993, 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001,
+2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016,
+2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026, 2027, 2028, 2029, 2030, 2031,
+2032, 2033, 2034, 2035, 2036, 2037, 2038, 2039, 2040, 2041, 2042, 2043, 2044, 2045, 2046,
+2047, 2048, 2049, 2050, 2051, 2052, 2053, 2054, 2055, 2056, 2057, 2058, 2059, 2060, 2061,
+2062, 2063, 2064, 2065, 2066, 2067, 2068, 2069, 2070, 2071, 2072, 2073, 2074, 2075, 2076,
+2077, 2078, 2079, 2080, 2081, 2082, 2083, 2084, 2085, 2086, 2087, 2088, 2089, 2090, 2091,
+2092, 2093, 2094, 2095, 2096, 2097, 2098, 2099, 2100, 2101, 2102, 2103, 2104, 2105, 2106,
+2107, 2108, 2109, 2110, 2111, 2112, 2113, 2114, 2115, 2116, 2117, 2118, 2119, 2120, 2121,
+2122, 2123, 2124, 2125, 2126, 2127, 2128, 2129, 2130, 2131, 2132, 2133, 2134, 2135, 2136,
+2137, 2138, 2139, 2140, 2141, 2142, 2143, 2144, 2145, 2146, 2147, 2148, 2149, 2150, 2151,
+2152, 2153, 2154, 2155, 2156, 2157, 2158, 2159, 2160, 2161, 2162, 2163, 2164, 2165, 2166,
+2167, 2168, 2169, 2170, 2171, 2172, 2173, 2174, 2175, 2176, 2177, 2178, 2179, 2180, 2181,
+2182, 2183, 2184, 2185, 2186, 2187, 2188, 2189, 2190, 2191, 2192, 2193, 2194, 2195, 2196,
+2197, 2198, 2199, 2200, 2201, 2202, 2203, 2204, 2205, 2206, 2207, 2208, 2209, 2210, 2211,
+2212, 2213, 2214, 2215, 2216, 2217, 2218, 2219, 2220, 2221, 2222, 2223, 2224, 2225, 2226,
+2227, 2228, 2229, 2230, 2231, 2232, 2233, 2234, 2235, 2236, 2237, 2238, 2239, 2240, 2241,
+2242, 2243, 2244, 2245, 2246, 2247, 2248, 2249, 2250, 2251, 2252, 2253, 2254, 2255, 2256,
+2257, 2258, 2259, 2260, 2261, 2262, 2263, 2264, 2265, 2266, 2267, 2268, 2269, 2270, 2271,
+2272, 2273, 2274, 2275, 2276, 2277, 2278, 2279, 2280, 2281, 2282, 2283, 2284, 2285, 2286,
+2287, 2288, 2289, 2290, 2291, 2292, 2293, 2294, 2295, 2296, 2297, 2298, 2299, 2300, 2301,
+2302, 2303, 2304, 2305, 2306, 2307, 2308, 2309, 2310, 2311, 2312, 2313, 2314, 2315, 2316,
+2317, 2318, 2319, 2320, 2321, 2322, 2323, 2324, 2325, 2326, 2327, 2328, 2329, 2330, 2331,
+2332, 2333, 2334, 2335, 2336, 2337, 2338, 2339, 2340, 2341, 2342, 2343, 2344, 2345, 2346,
+2347, 2348, 2349, 2350, 2351, 2352, 2353, 2354, 2355, 2356, 2357, 2358, 2359, 2360, 2361,
+2362, 2363, 2364, 2365, 2366, 2367, 2368, 2369, 2370, 2371, 2372, 2373, 2374, 2375, 2376,
+2377, 2378, 2379, 2380, 2381, 2382, 2383, 2384, 2385, 2386, 2387, 2388, 2389, 2390, 2391,
+2392, 2393, 2394, 2395, 2396, 2397, 2398, 2399, 2400, 2401, 2402, 2403, 2404, 2405, 2406,
+2407, 2408, 2409, 2410, 2411, 2412, 2413, 2414, 2415, 2416, 2417, 2418, 2419, 2420, 2421,
+2422, 2423, 2424, 2425, 2426, 2427, 2428, 2429, 2430, 2431, 2432, 2433, 2434, 2435, 2436,
+2437, 2438, 2439, 2440, 2441, 2442, 2443, 2444, 2445, 2446, 2447, 2448, 2449, 2450, 2451,
+2452, 2453, 2454, 2455, 2456, 2457, 2458, 2459, 2460, 2461, 2462, 2463, 2464, 2465, 2466,
+2467, 2468, 2469, 2470, 2471, 2472, 2473, 2474, 2475, 2476, 2477, 2478, 2479, 2480, 2481,
+2482, 2483, 2484, 2485, 2486, 2487, 2488, 2489, 2490, 2491, 2492, 2493, 2494, 2495, 2496,
+2497, 2498, 2499, 2500, 2501, 2502, 2503, 2504, 2505, 2506, 2507, 2508, 2509, 2510, 2511,
+2512, 2513, 2514, 2515, 2516, 2517, 2518, 2519, 2520, 2521, 2522, 2523, 2524, 2525, 2526,
+2527, 2528, 2529, 2530, 2531, 2532, 2533, 2534, 2535, 2536, 2537, 2538, 2539, 2540, 2541,
+2542, 2543, 2544, 2545, 2546, 2547, 2548, 2549, 2550, 2551, 2552, 2553, 2554, 2555, 2556,
+2557, 2558, 2559, 2560, 2561, 2562, 2563, 2564, 2565, 2566, 2567, 2568, 2569, 2570, 2571,
+2572, 2573, 2574, 2575, 2576, 2577, 2578, 2579, 2580, 2581, 2582, 2583, 2584, 2585, 2586,
+2587, 2588, 2589, 2590, 2591, 2592, 2593, 2594, 2595, 2596, 2597, 2598, 2599, 2600, 2601,
+2602, 2603, 2604, 2605, 2606, 2607, 2608, 2609, 2610, 2611, 2612, 2613, 2614, 2615, 2616,
+2617, 2618, 2619, 2620, 2621, 2622, 2623, 2624, 2625, 2626, 2627, 2628, 2629, 2630, 2631,
+2632, 2633, 2634, 2635, 2636, 2637, 2638, 2639, 2640, 2641, 2642, 2643, 2644, 2645, 2646,
+2647, 2648, 2649, 2650, 2651, 2652, 2653, 2654, 2655, 2656, 2657, 2658, 2659, 2660, 2661,
+2662, 2663, 2664, 2665, 2666, 2667, 2668, 2669, 2670, 2671, 2672, 2673, 2674, 2675, 2676,
+2677, 2678, 2679, 2680, 2681, 2682, 2683, 2684, 2685, 2686, 2687, 2688, 2689, 2690, 2691,
+2692, 2693, 2694, 2695, 2696, 2697, 2698, 2699, 2700, 2701, 2702, 2703, 2704, 2705, 2706,
+2707, 2708, 2709, 2710, 2711, 2712, 2713, 2714, 2715, 2716, 2717, 2718, 2719, 2720, 2721,
+2722, 2723, 2724, 2725, 2726, 2727, 2728, 2729, 2730, 2731, 2732, 2733, 2734, 2735, 2736,
+2737, 2738, 2739, 2740, 2741, 2742, 2743, 2744, 2745, 2746, 2747, 2748, 2749, 2750, 2751,
+2752, 2753, 2754, 2755, 2756, 2757, 2758, 2759, 2760, 2761, 2762, 2763, 2764, 2765, 2766,
+2767, 2768, 2769, 2770, 2771, 2772, 2773, 2774, 2775, 2776, 2777, 2778, 2779, 2780, 2781,
+2782, 2783, 2784, 2785, 2786, 2787, 2788, 2789, 2790, 2791, 2792, 2793, 2794, 2795, 2796,
+2797, 2798, 2799, 2800, 2801, 2802, 2803, 2804, 2805, 2806, 2807, 2808, 2809, 2810, 2811,
+2812, 2813, 2814, 2815, 2816, 2817, 2818, 2819, 2820, 2821, 2822, 2823, 2824, 2825, 2826,
+2827, 2828, 2829, 2830, 2831, 2832, 2833, 2834, 2835, 2836, 2837, 2838, 2839, 2840, 2841,
+2842, 2843, 2844, 2845, 2846, 2847, 2848, 2849, 2850, 2851, 2852, 2853, 2854, 2855, 2856,
+2857, 2858, 2859, 2860, 2861, 2862, 2863, 9, 11, 6, 7, 8, 10, 4, 5,
+0, 1, 2, 3, 0, 2, 10, 3, 6, 1, 9, 11, 4, 8, 7,
+5, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13,
+14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28,
+29, 30, 31, 32, 33, 34, 35, 68, 116, 22, 10, 97, 117, 52, 110,
+7, 19, 111, 115, 6, 18, 0, 74, 88, 12, 48, 108, 99, 109, 38,
+104, 4, 16, 24, 96, 15, 3, 50, 84, 71, 85, 36, 102, 103, 119,
+54, 86, 100, 30, 25, 105, 113, 69, 53, 63, 98, 87, 93, 89, 95,
+9, 21, 62, 114, 5, 17, 26, 55, 2, 14, 65, 8, 20, 64, 92,
+42, 106, 11, 23, 46, 66, 34, 101, 107, 56, 35, 47, 57, 67, 76,
+118, 75, 83, 82, 94, 37, 77, 29, 51, 1, 13, 27, 49, 58, 112,
+39, 59, 28, 70, 44, 73, 80, 81, 32, 72, 31, 43, 33, 40, 41,
+45, 60, 61, 78, 79, 90, 91
+};
+
+
+/**Function*************************************************************
+
+ Synopsis [Reads library from array.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Vec_Int_t * Dar_LibReadNodes()
+{
+ Vec_Int_t * vResult;
+ int i;
+ vResult = Vec_IntAlloc( s_nDataSize1 );
+ for ( i = 0; i < s_nDataSize1; i++ )
+ Vec_IntPush( vResult, s_Data1[i] );
+ return vResult;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Reads library from array.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Vec_Int_t * Dar_LibReadOuts()
+{
+ Vec_Int_t * vResult;
+ int i;
+ vResult = Vec_IntAlloc( s_nDataSize2 );
+ for ( i = 0; i < s_nDataSize2; i++ )
+ Vec_IntPush( vResult, s_Data2[i] );
+ return vResult;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Reads library from array.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Vec_Int_t * Dar_LibReadPrios()
+{
+ Vec_Int_t * vResult;
+ int i;
+ vResult = Vec_IntAlloc( s_nDataSize3 );
+ for ( i = 0; i < s_nDataSize3; i++ )
+ Vec_IntPush( vResult, s_Data3[i] );
+ return vResult;
+}
+
+#if 0
+
+#include "abc.h"
+
+/**Function*************************************************************
+
+ Synopsis [Generate arrays.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Aig_NtkGenerateArrays( Abc_Ntk_t * pNtk )
+{
+ extern int Io_WriteAigerEncode( char * pBuffer, int Pos, unsigned x );
+
+ Abc_Obj_t * pObj;
+ int i, Count = 0;
+ assert( Abc_NtkPiNum(pNtk) == 4 );
+ assert( Abc_NtkIsStrash(pNtk) );
+ assert( Abc_ObjFanoutNum(Abc_AigConst1(pNtk)) == 0 );
+/*
+ {
+ unsigned char * pBuffer;
+ int Pos, uLit, uLit0, uLit1, Size, Digit;
+
+ Abc_NtkForEachPi( pNtk, pObj, i )
+ pObj->pCopy = (void *)Count++;
+
+ Pos = 0;
+ pBuffer = ALLOC( char, 200000 );
+ Abc_AigForEachAnd( pNtk, pObj, i )
+ {
+ pObj->pCopy = (void *)Count++;
+ uLit = ((int)pObj->pCopy << 1);
+ uLit0 = (((int)Abc_ObjFanin0(pObj)->pCopy) << 1) | Abc_ObjFaninC0(pObj);
+ uLit1 = (((int)Abc_ObjFanin1(pObj)->pCopy) << 1) | Abc_ObjFaninC1(pObj);
+ assert( uLit0 < uLit1 );
+ Pos = Io_WriteAigerEncode( pBuffer, Pos, uLit - uLit1 );
+ Pos = Io_WriteAigerEncode( pBuffer, Pos, uLit1 - uLit0 );
+ }
+ // write the buffer
+ Size = 0;
+ for ( i = 0; i < Pos; i++ )
+ {
+ if ( i % 36 == 0 )
+ printf( "\n" );
+
+ Digit = pBuffer[i] & 0xF;
+ if ( Digit < 10 )
+ printf( "%d", Digit );
+ else
+ printf( "%c", Digit - 10 + 'A' );
+
+
+ Digit = pBuffer[i];
+ Digit >>= 4;
+ if ( Digit < 10 )
+ printf( "%d", Digit );
+ else
+ printf( "%c", Digit - 10 + 'A' );
+
+ }
+ printf( "\n" );
+ printf( "Size = %d.\n", Pos );
+ }
+*/
+
+
+ Abc_NtkForEachPi( pNtk, pObj, i )
+ pObj->pCopy = (void *)Count++;
+ Abc_AigForEachAnd( pNtk, pObj, i )
+ {
+// if ( (Count - 4) % 6 == 0 )
+// printf( "\n" );
+// printf( "%5d,", (((int)Abc_ObjFanin0(pObj)->pCopy) << 1) | Abc_ObjFaninC0(pObj) );
+// printf( "%5d,", (((int)Abc_ObjFanin1(pObj)->pCopy) << 1) | Abc_ObjFaninC1(pObj) );
+ pObj->pCopy = (void *)Count++;
+ }
+// printf( "\n" );
+// printf( "Nodes = %d.\n", Count-4 );
+
+
+
+ Abc_NtkForEachPo( pNtk, pObj, i )
+ {
+ if ( i % 12 == 0 )
+ printf( "\n" );
+ printf( "%5d,", (int)Abc_ObjFanin0(pObj)->pCopy );
+ }
+ printf( "\n" );
+ printf( "Outputs = %d.\n", Abc_NtkPoNum(pNtk) );
+
+
+/*
+ {
+ unsigned char * pBuffer;
+ Vec_Int_t * vOuts;
+ int Pos, Prev, Out;
+
+ vOuts = Vec_IntAlloc( 25000 );
+ Abc_NtkForEachPo( pNtk, pObj, i )
+ Vec_IntPush( vOuts, Abc_ObjFaninId0(pObj) );
+ Vec_IntSort( vOuts, 0 );
+
+ Pos = 0;
+ pBuffer = ALLOC( char, 50000 );
+ Prev = 0;
+ Vec_IntForEachEntry( vOuts, Out, i )
+ {
+ assert( Prev < Out );
+ Pos = Io_WriteAigerEncode( pBuffer, Pos, Out - Prev );
+ Prev = Out;
+ }
+ Vec_IntFree( vOuts );
+
+ // write the buffer
+ for ( i = 0; i < Pos; i++ )
+ {
+ if ( i % 32 == 0 )
+ printf( "\n" );
+ printf( "%d,", pBuffer[i] );
+ }
+ printf( "\n" );
+ printf( "Size = %d.\n", Pos );
+ }
+*/
+
+}
+
+#endif
+
+
+
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/dar/darInt.h b/src/aig/dar/darInt.h
new file mode 100644
index 00000000..4da793f5
--- /dev/null
+++ b/src/aig/dar/darInt.h
@@ -0,0 +1,165 @@
+/**CFile****************************************************************
+
+ FileName [darInt.h]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [DAG-aware AIG rewriting.]
+
+ Synopsis [Internal declarations.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - April 28, 2007.]
+
+ Revision [$Id: darInt.h,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#ifndef __DAR_INT_H__
+#define __DAR_INT_H__
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+////////////////////////////////////////////////////////////////////////
+/// INCLUDES ///
+////////////////////////////////////////////////////////////////////////
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <assert.h>
+#include <time.h>
+
+//#include "bar.h"
+#include "vec.h"
+#include "aig.h"
+#include "dar.h"
+
+////////////////////////////////////////////////////////////////////////
+/// PARAMETERS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// BASIC TYPES ///
+////////////////////////////////////////////////////////////////////////
+
+typedef struct Dar_Man_t_ Dar_Man_t;
+typedef struct Dar_Cut_t_ Dar_Cut_t;
+
+// the AIG 4-cut
+struct Dar_Cut_t_ // 6 words
+{
+ unsigned uSign; // cut signature
+ unsigned uTruth : 16; // the truth table of the cut function
+ unsigned Value : 11; // the value of the cut
+ unsigned fBest : 1; // marks the best cut
+ unsigned fUsed : 1; // marks the cut currently in use
+ unsigned nLeaves : 3; // the number of leaves
+ int pLeaves[4]; // the array of leaves
+};
+
+// the AIG manager
+struct Dar_Man_t_
+{
+ // input data
+ Dar_RwrPar_t * pPars; // rewriting parameters
+ Aig_Man_t * pAig; // AIG manager
+ // various data members
+ Aig_MmFixed_t * pMemCuts; // memory manager for cuts
+ void * pManCnf; // CNF managers
+ // current rewriting step
+ Vec_Ptr_t * vLeavesBest; // the best set of leaves
+ int OutBest; // the best output (in the library)
+ int OutNumBest; // the best number of the output
+ int GainBest; // the best gain
+ int LevelBest; // the level of node with the best gain
+ int ClassBest; // the equivalence class of the best replacement
+ // function statistics
+ int nTotalSubgs; // the total number of subgraphs tried
+ int ClassTimes[222];// the runtimes for each class
+ int ClassGains[222];// the gains for each class
+ int ClassSubgs[222];// the graphs for each class
+ int nCutMemUsed; // memory used for cuts
+ // rewriting statistics
+ int nNodesInit; // the original number of nodes
+ int nNodesTried; // the number of nodes attempted
+ int nCutsAll; // all cut pairs
+ int nCutsTried; // computed cuts
+ int nCutsUsed; // used cuts
+ int nCutsBad; // bad cuts due to absent fanin
+ int nCutsGood; // good cuts
+ int nCutsSkipped; // skipped bad cuts
+ // timing statistics
+ int timeCuts;
+ int timeEval;
+ int timeOther;
+ int timeTotal;
+ int time1;
+ int time2;
+};
+
+static inline Dar_Cut_t * Dar_ObjCuts( Aig_Obj_t * pObj ) { return pObj->pData; }
+static inline void Dar_ObjSetCuts( Aig_Obj_t * pObj, Dar_Cut_t * pCuts ) { assert( !Aig_ObjIsNone(pObj) ); pObj->pData = pCuts; }
+
+////////////////////////////////////////////////////////////////////////
+/// MACRO DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// ITERATORS ///
+////////////////////////////////////////////////////////////////////////
+
+// iterator over all cuts of the node
+#define Dar_ObjForEachCutAll( pObj, pCut, i ) \
+ for ( (pCut) = Dar_ObjCuts(pObj), i = 0; i < (int)(pObj)->nCuts; i++, pCut++ )
+#define Dar_ObjForEachCut( pObj, pCut, i ) \
+ for ( (pCut) = Dar_ObjCuts(pObj), i = 0; i < (int)(pObj)->nCuts; i++, pCut++ ) if ( (pCut)->fUsed==0 ) {} else
+// iterator over leaves of the cut
+#define Dar_CutForEachLeaf( p, pCut, pLeaf, i ) \
+ for ( i = 0; (i < (int)(pCut)->nLeaves) && (((pLeaf) = Aig_ManObj(p, (pCut)->pLeaves[i])), 1); i++ )
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/*=== darBalance.c ========================================================*/
+/*=== darCore.c ===========================================================*/
+/*=== darCut.c ============================================================*/
+extern void Dar_ManCutsStart( Dar_Man_t * p );
+extern void Dar_ManCutsFree( Dar_Man_t * p );
+extern Dar_Cut_t * Dar_ObjComputeCuts_rec( Dar_Man_t * p, Aig_Obj_t * pObj );
+extern Dar_Cut_t * Dar_ObjComputeCuts( Dar_Man_t * p, Aig_Obj_t * pObj );
+/*=== darData.c ===========================================================*/
+extern Vec_Int_t * Dar_LibReadNodes();
+extern Vec_Int_t * Dar_LibReadOuts();
+extern Vec_Int_t * Dar_LibReadPrios();
+/*=== darLib.c ============================================================*/
+extern void Dar_LibStart();
+extern void Dar_LibStop();
+extern void Dar_LibPrepare( int nSubgraphs );
+extern void Dar_LibReturnCanonicals( unsigned * pCanons );
+extern void Dar_LibEval( Dar_Man_t * p, Aig_Obj_t * pRoot, Dar_Cut_t * pCut, int Required );
+extern Aig_Obj_t * Dar_LibBuildBest( Dar_Man_t * p );
+/*=== darMan.c ============================================================*/
+extern Dar_Man_t * Dar_ManStart( Aig_Man_t * pAig, Dar_RwrPar_t * pPars );
+extern void Dar_ManStop( Dar_Man_t * p );
+extern void Dar_ManPrintStats( Dar_Man_t * p );
+/*=== darPrec.c ============================================================*/
+extern char ** Dar_Permutations( int n );
+extern void Dar_Truth4VarNPN( unsigned short ** puCanons, char ** puPhases, char ** puPerms, unsigned char ** puMap );
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
diff --git a/src/aig/dar/darLib.c b/src/aig/dar/darLib.c
new file mode 100644
index 00000000..e0e97055
--- /dev/null
+++ b/src/aig/dar/darLib.c
@@ -0,0 +1,980 @@
+/**CFile****************************************************************
+
+ FileName [darLib.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [DAG-aware AIG rewriting.]
+
+ Synopsis [Library of AIG subgraphs used for rewriting.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - April 28, 2007.]
+
+ Revision [$Id: darLib.c,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "darInt.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+typedef struct Dar_Lib_t_ Dar_Lib_t;
+typedef struct Dar_LibObj_t_ Dar_LibObj_t;
+typedef struct Dar_LibDat_t_ Dar_LibDat_t;
+
+struct Dar_LibObj_t_ // library object (2 words)
+{
+ unsigned Fan0 : 16; // the first fanin
+ unsigned Fan1 : 16; // the second fanin
+ unsigned fCompl0 : 1; // the first compl attribute
+ unsigned fCompl1 : 1; // the second compl attribute
+ unsigned fPhase : 1; // the phase of the node
+ unsigned fTerm : 1; // indicates a PI
+ unsigned Num : 28; // internal use
+};
+
+struct Dar_LibDat_t_ // library object data
+{
+ Aig_Obj_t * pFunc; // the corresponding AIG node if it exists
+ int Level; // level of this node after it is constructured
+ int TravId; // traversal ID of the library object data
+ unsigned char fMffc; // set to one if node is part of MFFC
+ unsigned char nLats[3]; // the number of latches on the input/output stem
+};
+
+struct Dar_Lib_t_ // library
+{
+ // objects
+ Dar_LibObj_t * pObjs; // the set of library objects
+ int nObjs; // the number of objects used
+ int iObj; // the current object
+ // structures by class
+ int nSubgr[222]; // the number of subgraphs by class
+ int * pSubgr[222]; // the subgraphs for each class
+ int * pSubgrMem; // memory for subgraph pointers
+ int nSubgrTotal; // the total number of subgraph
+ // structure priorities
+ int * pPriosMem; // memory for priority of structures
+ int * pPrios[222]; // pointers to the priority numbers
+ // structure places in the priorities
+ int * pPlaceMem; // memory for places of structures in the priority lists
+ int * pPlace[222]; // pointers to the places numbers
+ // structure scores
+ int * pScoreMem; // memory for scores of structures
+ int * pScore[222]; // pointers to the scores numbers
+ // nodes by class
+ int nNodes[222]; // the number of nodes by class
+ int * pNodes[222]; // the nodes for each class
+ int * pNodesMem; // memory for nodes pointers
+ int nNodesTotal; // the total number of nodes
+ // prepared library
+ int nSubgraphs;
+ int nNodes0Max;
+ // nodes by class
+ int nNodes0[222]; // the number of nodes by class
+ int * pNodes0[222]; // the nodes for each class
+ int * pNodes0Mem; // memory for nodes pointers
+ int nNodes0Total; // the total number of nodes
+ // structures by class
+ int nSubgr0[222]; // the number of subgraphs by class
+ int * pSubgr0[222]; // the subgraphs for each class
+ int * pSubgr0Mem; // memory for subgraph pointers
+ int nSubgr0Total; // the total number of subgraph
+ // object data
+ Dar_LibDat_t * pDatas;
+ int nDatas;
+ // information about NPN classes
+ char ** pPerms4;
+ unsigned short * puCanons;
+ char * pPhases;
+ char * pPerms;
+ unsigned char * pMap;
+};
+
+static Dar_Lib_t * s_DarLib = NULL;
+
+static inline Dar_LibObj_t * Dar_LibObj( Dar_Lib_t * p, int Id ) { return p->pObjs + Id; }
+static inline int Dar_LibObjTruth( Dar_LibObj_t * pObj ) { return pObj->Num < (0xFFFF & ~pObj->Num) ? pObj->Num : (0xFFFF & ~pObj->Num); }
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Starts the library.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Dar_Lib_t * Dar_LibAlloc( int nObjs )
+{
+ unsigned uTruths[4] = { 0xAAAA, 0xCCCC, 0xF0F0, 0xFF00 };
+ Dar_Lib_t * p;
+ int i;//, clk = clock();
+ p = ALLOC( Dar_Lib_t, 1 );
+ memset( p, 0, sizeof(Dar_Lib_t) );
+ // allocate objects
+ p->nObjs = nObjs;
+ p->pObjs = ALLOC( Dar_LibObj_t, nObjs );
+ memset( p->pObjs, 0, sizeof(Dar_LibObj_t) * nObjs );
+ // allocate canonical data
+ p->pPerms4 = Dar_Permutations( 4 );
+ Dar_Truth4VarNPN( &p->puCanons, &p->pPhases, &p->pPerms, &p->pMap );
+ // start the elementary objects
+ p->iObj = 4;
+ for ( i = 0; i < 4; i++ )
+ {
+ p->pObjs[i].fTerm = 1;
+ p->pObjs[i].Num = uTruths[i];
+ }
+// PRT( "Library start", clock() - clk );
+ return p;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Frees the library.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Dar_LibFree( Dar_Lib_t * p )
+{
+ free( p->pObjs );
+ free( p->pDatas );
+ free( p->pNodesMem );
+ free( p->pNodes0Mem );
+ free( p->pSubgrMem );
+ free( p->pSubgr0Mem );
+ free( p->pPriosMem );
+ FREE( p->pPlaceMem );
+ FREE( p->pScoreMem );
+ free( p->pPerms4 );
+ free( p->puCanons );
+ free( p->pPhases );
+ free( p->pPerms );
+ free( p->pMap );
+ free( p );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns canonical truth tables.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Dar_LibReturnCanonicals( unsigned * pCanons )
+{
+ int Visits[222] = {0};
+ int i, k;
+ // find canonical truth tables
+ for ( i = k = 0; i < (1<<16); i++ )
+ if ( !Visits[s_DarLib->pMap[i]] )
+ {
+ Visits[s_DarLib->pMap[i]] = 1;
+ pCanons[k++] = ((i<<16) | i);
+ }
+ assert( k == 222 );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Adds one AND to the library.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Dar_LibAddNode( Dar_Lib_t * p, int Id0, int Id1, int fCompl0, int fCompl1 )
+{
+ Dar_LibObj_t * pFan0 = Dar_LibObj( p, Id0 );
+ Dar_LibObj_t * pFan1 = Dar_LibObj( p, Id1 );
+ Dar_LibObj_t * pObj = p->pObjs + p->iObj++;
+ pObj->Fan0 = Id0;
+ pObj->Fan1 = Id1;
+ pObj->fCompl0 = fCompl0;
+ pObj->fCompl1 = fCompl1;
+ pObj->fPhase = (fCompl0 ^ pFan0->fPhase) & (fCompl1 ^ pFan1->fPhase);
+ pObj->Num = 0xFFFF & (fCompl0? ~pFan0->Num : pFan0->Num) & (fCompl1? ~pFan1->Num : pFan1->Num);
+}
+
+/**Function*************************************************************
+
+ Synopsis [Adds one AND to the library.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Dar_LibSetup_rec( Dar_Lib_t * p, Dar_LibObj_t * pObj, int Class, int fCollect )
+{
+ if ( pObj->fTerm || (int)pObj->Num == Class )
+ return;
+ pObj->Num = Class;
+ Dar_LibSetup_rec( p, Dar_LibObj(p, pObj->Fan0), Class, fCollect );
+ Dar_LibSetup_rec( p, Dar_LibObj(p, pObj->Fan1), Class, fCollect );
+ if ( fCollect )
+ p->pNodes[Class][ p->nNodes[Class]++ ] = pObj-p->pObjs;
+ else
+ p->nNodes[Class]++;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Adds one AND to the library.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Dar_LibSetup( Dar_Lib_t * p, Vec_Int_t * vOuts, Vec_Int_t * vPrios )
+{
+ int fTraining = 0;
+ Dar_LibObj_t * pObj;
+ int nNodesTotal, uTruth, Class, Out, i, k;
+ assert( p->iObj == p->nObjs );
+
+ // count the number of representatives of each class
+ for ( i = 0; i < 222; i++ )
+ p->nSubgr[i] = p->nNodes[i] = 0;
+ Vec_IntForEachEntry( vOuts, Out, i )
+ {
+ pObj = Dar_LibObj( p, Out );
+ uTruth = Dar_LibObjTruth( pObj );
+ Class = p->pMap[uTruth];
+ p->nSubgr[Class]++;
+ }
+ // allocate memory for the roots of each class
+ p->pSubgrMem = ALLOC( int, Vec_IntSize(vOuts) );
+ p->pSubgr0Mem = ALLOC( int, Vec_IntSize(vOuts) );
+ p->nSubgrTotal = 0;
+ for ( i = 0; i < 222; i++ )
+ {
+ p->pSubgr[i] = p->pSubgrMem + p->nSubgrTotal;
+ p->pSubgr0[i] = p->pSubgr0Mem + p->nSubgrTotal;
+ p->nSubgrTotal += p->nSubgr[i];
+ p->nSubgr[i] = 0;
+ }
+ assert( p->nSubgrTotal == Vec_IntSize(vOuts) );
+ // add the outputs to storage
+ Vec_IntForEachEntry( vOuts, Out, i )
+ {
+ pObj = Dar_LibObj( p, Out );
+ uTruth = Dar_LibObjTruth( pObj );
+ Class = p->pMap[uTruth];
+ p->pSubgr[Class][ p->nSubgr[Class]++ ] = Out;
+ }
+
+ if ( fTraining )
+ {
+ // allocate memory for the priority of roots of each class
+ p->pPriosMem = ALLOC( int, Vec_IntSize(vOuts) );
+ p->nSubgrTotal = 0;
+ for ( i = 0; i < 222; i++ )
+ {
+ p->pPrios[i] = p->pPriosMem + p->nSubgrTotal;
+ p->nSubgrTotal += p->nSubgr[i];
+ for ( k = 0; k < p->nSubgr[i]; k++ )
+ p->pPrios[i][k] = k;
+
+ }
+ assert( p->nSubgrTotal == Vec_IntSize(vOuts) );
+
+ // allocate memory for the priority of roots of each class
+ p->pPlaceMem = ALLOC( int, Vec_IntSize(vOuts) );
+ p->nSubgrTotal = 0;
+ for ( i = 0; i < 222; i++ )
+ {
+ p->pPlace[i] = p->pPlaceMem + p->nSubgrTotal;
+ p->nSubgrTotal += p->nSubgr[i];
+ for ( k = 0; k < p->nSubgr[i]; k++ )
+ p->pPlace[i][k] = k;
+
+ }
+ assert( p->nSubgrTotal == Vec_IntSize(vOuts) );
+
+ // allocate memory for the priority of roots of each class
+ p->pScoreMem = ALLOC( int, Vec_IntSize(vOuts) );
+ p->nSubgrTotal = 0;
+ for ( i = 0; i < 222; i++ )
+ {
+ p->pScore[i] = p->pScoreMem + p->nSubgrTotal;
+ p->nSubgrTotal += p->nSubgr[i];
+ for ( k = 0; k < p->nSubgr[i]; k++ )
+ p->pScore[i][k] = 0;
+
+ }
+ assert( p->nSubgrTotal == Vec_IntSize(vOuts) );
+ }
+ else
+ {
+ int Counter = 0;
+ // allocate memory for the priority of roots of each class
+ p->pPriosMem = ALLOC( int, Vec_IntSize(vOuts) );
+ p->nSubgrTotal = 0;
+ for ( i = 0; i < 222; i++ )
+ {
+ p->pPrios[i] = p->pPriosMem + p->nSubgrTotal;
+ p->nSubgrTotal += p->nSubgr[i];
+ for ( k = 0; k < p->nSubgr[i]; k++ )
+ p->pPrios[i][k] = Vec_IntEntry(vPrios, Counter++);
+
+ }
+ assert( p->nSubgrTotal == Vec_IntSize(vOuts) );
+ assert( Counter == Vec_IntSize(vPrios) );
+ }
+
+ // create traversal IDs
+ for ( i = 0; i < p->iObj; i++ )
+ Dar_LibObj(p, i)->Num = 0xff;
+ // count nodes in each class
+ for ( i = 0; i < 222; i++ )
+ for ( k = 0; k < p->nSubgr[i]; k++ )
+ Dar_LibSetup_rec( p, Dar_LibObj(p, p->pSubgr[i][k]), i, 0 );
+ // count the total number of nodes
+ p->nNodesTotal = 0;
+ for ( i = 0; i < 222; i++ )
+ p->nNodesTotal += p->nNodes[i];
+ // allocate memory for the nodes of each class
+ p->pNodesMem = ALLOC( int, p->nNodesTotal );
+ p->pNodes0Mem = ALLOC( int, p->nNodesTotal );
+ p->nNodesTotal = 0;
+ for ( i = 0; i < 222; i++ )
+ {
+ p->pNodes[i] = p->pNodesMem + p->nNodesTotal;
+ p->pNodes0[i] = p->pNodes0Mem + p->nNodesTotal;
+ p->nNodesTotal += p->nNodes[i];
+ p->nNodes[i] = 0;
+ }
+ // create traversal IDs
+ for ( i = 0; i < p->iObj; i++ )
+ Dar_LibObj(p, i)->Num = 0xff;
+ // add the nodes to storage
+ nNodesTotal = 0;
+ for ( i = 0; i < 222; i++ )
+ {
+ for ( k = 0; k < p->nSubgr[i]; k++ )
+ Dar_LibSetup_rec( p, Dar_LibObj(p, p->pSubgr[i][k]), i, 1 );
+ nNodesTotal += p->nNodes[i];
+//printf( "Class %3d : Subgraphs = %4d. Nodes = %5d.\n", i, p->nSubgr[i], p->nNodes[i] );
+ }
+ assert( nNodesTotal == p->nNodesTotal );
+ // prepare the number of the PI nodes
+ for ( i = 0; i < 4; i++ )
+ Dar_LibObj(p, i)->Num = i;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Starts the library.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Dar_LibCreateData( Dar_Lib_t * p, int nDatas )
+{
+ if ( p->nDatas == nDatas )
+ return;
+ FREE( p->pDatas );
+ // allocate datas
+ p->nDatas = nDatas;
+ p->pDatas = ALLOC( Dar_LibDat_t, nDatas );
+ memset( p->pDatas, 0, sizeof(Dar_LibDat_t) * nDatas );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Adds one AND to the library.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Dar_LibSetup0_rec( Dar_Lib_t * p, Dar_LibObj_t * pObj, int Class, int fCollect )
+{
+ if ( pObj->fTerm || (int)pObj->Num == Class )
+ return;
+ pObj->Num = Class;
+ Dar_LibSetup0_rec( p, Dar_LibObj(p, pObj->Fan0), Class, fCollect );
+ Dar_LibSetup0_rec( p, Dar_LibObj(p, pObj->Fan1), Class, fCollect );
+ if ( fCollect )
+ p->pNodes0[Class][ p->nNodes0[Class]++ ] = pObj-p->pObjs;
+ else
+ p->nNodes0[Class]++;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Starts the library.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Dar_LibPrepare( int nSubgraphs )
+{
+ Dar_Lib_t * p = s_DarLib;
+ int i, k, nNodes0Total;
+ if ( p->nSubgraphs == nSubgraphs )
+ return;
+
+ // favor special classes:
+ // 1 : F = (!d*!c*!b*!a)
+ // 4 : F = (!d*!c*!(b*a))
+ // 12 : F = (!d*!(c*!(!b*!a)))
+ // 20 : F = (!d*!(c*b*a))
+
+ // set the subgraph counters
+ p->nSubgr0Total = 0;
+ for ( i = 0; i < 222; i++ )
+ {
+// if ( i == 1 || i == 4 || i == 12 || i == 20 ) // special classes
+ if ( i == 1 ) // special classes
+ p->nSubgr0[i] = p->nSubgr[i];
+ else
+ p->nSubgr0[i] = AIG_MIN( p->nSubgr[i], nSubgraphs );
+ p->nSubgr0Total += p->nSubgr0[i];
+ for ( k = 0; k < p->nSubgr0[i]; k++ )
+ p->pSubgr0[i][k] = p->pSubgr[i][ p->pPrios[i][k] ];
+ }
+
+ // count the number of nodes
+ // clean node counters
+ for ( i = 0; i < 222; i++ )
+ p->nNodes0[i] = 0;
+ // create traversal IDs
+ for ( i = 0; i < p->iObj; i++ )
+ Dar_LibObj(p, i)->Num = 0xff;
+ // count nodes in each class
+ // count the total number of nodes and the largest class
+ p->nNodes0Total = 0;
+ p->nNodes0Max = 0;
+ for ( i = 0; i < 222; i++ )
+ {
+ for ( k = 0; k < p->nSubgr0[i]; k++ )
+ Dar_LibSetup0_rec( p, Dar_LibObj(p, p->pSubgr0[i][k]), i, 0 );
+ p->nNodes0Total += p->nNodes0[i];
+ p->nNodes0Max = AIG_MAX( p->nNodes0Max, p->nNodes0[i] );
+ }
+
+ // clean node counters
+ for ( i = 0; i < 222; i++ )
+ p->nNodes0[i] = 0;
+ // create traversal IDs
+ for ( i = 0; i < p->iObj; i++ )
+ Dar_LibObj(p, i)->Num = 0xff;
+ // add the nodes to storage
+ nNodes0Total = 0;
+ for ( i = 0; i < 222; i++ )
+ {
+ for ( k = 0; k < p->nSubgr0[i]; k++ )
+ Dar_LibSetup0_rec( p, Dar_LibObj(p, p->pSubgr0[i][k]), i, 1 );
+ nNodes0Total += p->nNodes0[i];
+ }
+ assert( nNodes0Total == p->nNodes0Total );
+ // prepare the number of the PI nodes
+ for ( i = 0; i < 4; i++ )
+ Dar_LibObj(p, i)->Num = i;
+
+ // realloc the datas
+ Dar_LibCreateData( p, p->nNodes0Max + 32 );
+ // allocated more because Dar_LibBuildBest() sometimes requires more entries
+}
+
+/**Function*************************************************************
+
+ Synopsis [Reads library from array.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Dar_Lib_t * Dar_LibRead()
+{
+ Vec_Int_t * vObjs, * vOuts, * vPrios;
+ Dar_Lib_t * p;
+ int i;
+ // read nodes and outputs
+ vObjs = Dar_LibReadNodes();
+ vOuts = Dar_LibReadOuts();
+ vPrios = Dar_LibReadPrios();
+ // create library
+ p = Dar_LibAlloc( Vec_IntSize(vObjs)/2 + 4 );
+ // create nodes
+ for ( i = 0; i < vObjs->nSize; i += 2 )
+ Dar_LibAddNode( p, vObjs->pArray[i] >> 1, vObjs->pArray[i+1] >> 1,
+ vObjs->pArray[i] & 1, vObjs->pArray[i+1] & 1 );
+ // create outputs
+ Dar_LibSetup( p, vOuts, vPrios );
+ Vec_IntFree( vObjs );
+ Vec_IntFree( vOuts );
+ Vec_IntFree( vPrios );
+ return p;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Starts the library.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Dar_LibStart()
+{
+// int clk = clock();
+ assert( s_DarLib == NULL );
+ s_DarLib = Dar_LibRead();
+// printf( "The 4-input library started with %d nodes and %d subgraphs. ", s_DarLib->nObjs - 4, s_DarLib->nSubgrTotal );
+// PRT( "Time", clock() - clk );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Stops the library.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Dar_LibStop()
+{
+ assert( s_DarLib != NULL );
+ Dar_LibFree( s_DarLib );
+ s_DarLib = NULL;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Updates the score of the class and adjusts the priority of this class.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Dar_LibIncrementScore( int Class, int Out, int Gain )
+{
+ int * pPrios = s_DarLib->pPrios[Class]; // pPrios[i] = Out
+ int * pPlace = s_DarLib->pPlace[Class]; // pPlace[Out] = i
+ int * pScore = s_DarLib->pScore[Class]; // score of Out
+ int Out2;
+ assert( Class >= 0 && Class < 222 );
+ assert( Out >= 0 && Out < s_DarLib->nSubgr[Class] );
+ assert( pPlace[pPrios[Out]] == Out );
+ // increment the score
+ pScore[Out] += Gain;
+ // move the out in the order
+ while ( pPlace[Out] > 0 && pScore[Out] > pScore[ pPrios[pPlace[Out]-1] ] )
+ {
+ // get the previous output in the priority list
+ Out2 = pPrios[pPlace[Out]-1];
+ // swap Out and Out2
+ pPlace[Out]--;
+ pPlace[Out2]++;
+ pPrios[pPlace[Out]] = Out;
+ pPrios[pPlace[Out2]] = Out2;
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Prints out the priorities into the file.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Dar_LibDumpPriorities()
+{
+ int i, k, Out, Out2, Counter = 0, Printed = 0;
+ printf( "\nOutput priorities (total = %d):\n", s_DarLib->nSubgrTotal );
+ for ( i = 0; i < 222; i++ )
+ {
+// printf( "Class%d: ", i );
+ for ( k = 0; k < s_DarLib->nSubgr[i]; k++ )
+ {
+ Out = s_DarLib->pPrios[i][k];
+ Out2 = k == 0 ? Out : s_DarLib->pPrios[i][k-1];
+ assert( s_DarLib->pScore[i][Out2] >= s_DarLib->pScore[i][Out] );
+// printf( "%d(%d), ", Out, s_DarLib->pScore[i][Out] );
+ printf( "%d, ", Out );
+ Printed++;
+ if ( ++Counter == 15 )
+ {
+ printf( "\n" );
+ Counter = 0;
+ }
+ }
+ }
+ printf( "\n" );
+ assert( Printed == s_DarLib->nSubgrTotal );
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Matches the cut with its canonical form.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Dar_LibCutMatch( Dar_Man_t * p, Dar_Cut_t * pCut )
+{
+ Aig_Obj_t * pFanin;
+ unsigned uPhase;
+ char * pPerm;
+ int i;
+ assert( pCut->nLeaves == 4 );
+ // get the fanin permutation
+ uPhase = s_DarLib->pPhases[pCut->uTruth];
+ pPerm = s_DarLib->pPerms4[ (int)s_DarLib->pPerms[pCut->uTruth] ];
+ // collect fanins with the corresponding permutation/phase
+ for ( i = 0; i < (int)pCut->nLeaves; i++ )
+ {
+ pFanin = Aig_ManObj( p->pAig, pCut->pLeaves[ (int)pPerm[i] ] );
+ if ( pFanin == NULL )
+ {
+ p->nCutsBad++;
+ return 0;
+ }
+ pFanin = Aig_NotCond(pFanin, ((uPhase >> i) & 1) );
+ s_DarLib->pDatas[i].pFunc = pFanin;
+ s_DarLib->pDatas[i].Level = Aig_Regular(pFanin)->Level;
+ }
+ p->nCutsGood++;
+ return 1;
+}
+
+
+
+/**Function*************************************************************
+
+ Synopsis [Marks the MFFC of the node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Dar_LibCutMarkMffc( Aig_Man_t * p, Aig_Obj_t * pRoot, int nLeaves )
+{
+ int i, nNodes;
+ // mark the cut leaves
+ for ( i = 0; i < nLeaves; i++ )
+ Aig_Regular(s_DarLib->pDatas[i].pFunc)->nRefs++;
+ // label MFFC with current ID
+ nNodes = Aig_NodeMffsLabel( p, pRoot );
+ // unmark the cut leaves
+ for ( i = 0; i < nLeaves; i++ )
+ Aig_Regular(s_DarLib->pDatas[i].pFunc)->nRefs--;
+ return nNodes;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Evaluates one cut.]
+
+ Description [Returns the best gain.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Dar_LibObjPrint_rec( Dar_LibObj_t * pObj )
+{
+ if ( pObj->fTerm )
+ {
+ printf( "%c", 'a' + (int)(pObj - s_DarLib->pObjs) );
+ return;
+ }
+ printf( "(" );
+ Dar_LibObjPrint_rec( Dar_LibObj(s_DarLib, pObj->Fan0) );
+ if ( pObj->fCompl0 )
+ printf( "\'" );
+ Dar_LibObjPrint_rec( Dar_LibObj(s_DarLib, pObj->Fan1) );
+ if ( pObj->fCompl0 )
+ printf( "\'" );
+ printf( ")" );
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Assigns numbers to the nodes of one class.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Dar_LibEvalAssignNums( Dar_Man_t * p, int Class )
+{
+ Dar_LibObj_t * pObj;
+ Dar_LibDat_t * pData, * pData0, * pData1;
+ Aig_Obj_t * pFanin0, * pFanin1;
+ int i;
+ for ( i = 0; i < s_DarLib->nNodes0[Class]; i++ )
+ {
+ // get one class node, assign its temporary number and set its data
+ pObj = Dar_LibObj(s_DarLib, s_DarLib->pNodes0[Class][i]);
+ pObj->Num = 4 + i;
+ assert( (int)pObj->Num < s_DarLib->nNodes0Max + 4 );
+ pData = s_DarLib->pDatas + pObj->Num;
+ pData->fMffc = 0;
+ pData->pFunc = NULL;
+ pData->TravId = 0xFFFF;
+
+ // explore the fanins
+ assert( (int)Dar_LibObj(s_DarLib, pObj->Fan0)->Num < s_DarLib->nNodes0Max + 4 );
+ assert( (int)Dar_LibObj(s_DarLib, pObj->Fan1)->Num < s_DarLib->nNodes0Max + 4 );
+ pData0 = s_DarLib->pDatas + Dar_LibObj(s_DarLib, pObj->Fan0)->Num;
+ pData1 = s_DarLib->pDatas + Dar_LibObj(s_DarLib, pObj->Fan1)->Num;
+ pData->Level = 1 + AIG_MAX(pData0->Level, pData1->Level);
+ if ( pData0->pFunc == NULL || pData1->pFunc == NULL )
+ continue;
+ pFanin0 = Aig_NotCond( pData0->pFunc, pObj->fCompl0 );
+ pFanin1 = Aig_NotCond( pData1->pFunc, pObj->fCompl1 );
+ pData->pFunc = Aig_TableLookupTwo( p->pAig, pFanin0, pFanin1 );
+ if ( pData->pFunc )
+ {
+ // update the level to be more accurate
+ pData->Level = Aig_Regular(pData->pFunc)->Level;
+ // mark the node if it is part of MFFC
+ pData->fMffc = Aig_ObjIsTravIdCurrent(p->pAig, pData->pFunc);
+ }
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Evaluates one cut.]
+
+ Description [Returns the best gain.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Dar_LibEval_rec( Dar_LibObj_t * pObj, int Out, int nNodesSaved, int Required )
+{
+ Dar_LibDat_t * pData;
+ int Area;
+ if ( pObj->fTerm )
+ return 0;
+ assert( pObj->Num > 3 );
+ pData = s_DarLib->pDatas + pObj->Num;
+ if ( pData->Level > Required )
+ return 0xff;
+ if ( pData->pFunc && !pData->fMffc )
+ return 0;
+ if ( pData->TravId == Out )
+ return 0;
+ pData->TravId = Out;
+ // this is a new node - get a bound on the area of its branches
+ nNodesSaved--;
+ Area = Dar_LibEval_rec( Dar_LibObj(s_DarLib, pObj->Fan0), Out, nNodesSaved, Required+1 );
+ if ( Area > nNodesSaved )
+ return 0xff;
+ Area += Dar_LibEval_rec( Dar_LibObj(s_DarLib, pObj->Fan1), Out, nNodesSaved, Required+1 );
+ if ( Area > nNodesSaved )
+ return 0xff;
+ return Area + 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Evaluates one cut.]
+
+ Description [Returns the best gain.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Dar_LibEval( Dar_Man_t * p, Aig_Obj_t * pRoot, Dar_Cut_t * pCut, int Required )
+{
+ int fTraining = 0;
+ Dar_LibObj_t * pObj;
+ int Out, k, Class, nNodesSaved, nNodesAdded, nNodesGained, clk;
+ clk = clock();
+ if ( pCut->nLeaves != 4 )
+ return;
+ // check if the cut exits and assigns leaves and their levels
+ if ( !Dar_LibCutMatch(p, pCut) )
+ return;
+ // mark MFFC of the node
+ nNodesSaved = Dar_LibCutMarkMffc( p->pAig, pRoot, pCut->nLeaves );
+ // evaluate the cut
+ Class = s_DarLib->pMap[pCut->uTruth];
+ Dar_LibEvalAssignNums( p, Class );
+ // profile outputs by their savings
+ p->nTotalSubgs += s_DarLib->nSubgr0[Class];
+ p->ClassSubgs[Class] += s_DarLib->nSubgr0[Class];
+ for ( Out = 0; Out < s_DarLib->nSubgr0[Class]; Out++ )
+ {
+ pObj = Dar_LibObj(s_DarLib, s_DarLib->pSubgr0[Class][Out]);
+ if ( Aig_Regular(s_DarLib->pDatas[pObj->Num].pFunc) == pRoot )
+ continue;
+ nNodesAdded = Dar_LibEval_rec( pObj, Out, nNodesSaved - !p->pPars->fUseZeros, Required );
+ nNodesGained = nNodesSaved - nNodesAdded;
+ if ( fTraining && nNodesGained >= 0 )
+ Dar_LibIncrementScore( Class, Out, nNodesGained + 1 );
+ if ( nNodesGained < 0 || (nNodesGained == 0 && !p->pPars->fUseZeros) )
+ continue;
+ if ( nNodesGained < p->GainBest ||
+ (nNodesGained == p->GainBest && s_DarLib->pDatas[pObj->Num].Level >= p->LevelBest) )
+ continue;
+ // remember this possibility
+ Vec_PtrClear( p->vLeavesBest );
+ for ( k = 0; k < (int)pCut->nLeaves; k++ )
+ Vec_PtrPush( p->vLeavesBest, s_DarLib->pDatas[k].pFunc );
+ p->OutBest = s_DarLib->pSubgr0[Class][Out];
+ p->OutNumBest = Out;
+ p->LevelBest = s_DarLib->pDatas[pObj->Num].Level;
+ p->GainBest = nNodesGained;
+ p->ClassBest = Class;
+ assert( p->LevelBest <= Required );
+ }
+clk = clock() - clk;
+p->ClassTimes[Class] += clk;
+p->timeEval += clk;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Clears the fields of the nodes used in this cut.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Dar_LibBuildClear_rec( Dar_LibObj_t * pObj, int * pCounter )
+{
+ if ( pObj->fTerm )
+ return;
+ pObj->Num = (*pCounter)++;
+ s_DarLib->pDatas[ pObj->Num ].pFunc = NULL;
+ Dar_LibBuildClear_rec( Dar_LibObj(s_DarLib, pObj->Fan0), pCounter );
+ Dar_LibBuildClear_rec( Dar_LibObj(s_DarLib, pObj->Fan1), pCounter );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Reconstructs the best cut.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Obj_t * Dar_LibBuildBest_rec( Dar_Man_t * p, Dar_LibObj_t * pObj )
+{
+ Aig_Obj_t * pFanin0, * pFanin1;
+ Dar_LibDat_t * pData = s_DarLib->pDatas + pObj->Num;
+ if ( pData->pFunc )
+ return pData->pFunc;
+ pFanin0 = Dar_LibBuildBest_rec( p, Dar_LibObj(s_DarLib, pObj->Fan0) );
+ pFanin1 = Dar_LibBuildBest_rec( p, Dar_LibObj(s_DarLib, pObj->Fan1) );
+ pFanin0 = Aig_NotCond( pFanin0, pObj->fCompl0 );
+ pFanin1 = Aig_NotCond( pFanin1, pObj->fCompl1 );
+ pData->pFunc = Aig_And( p->pAig, pFanin0, pFanin1 );
+// assert( pData->Level == (int)Aig_Regular(pData->pFunc)->Level );
+ return pData->pFunc;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Reconstructs the best cut.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Obj_t * Dar_LibBuildBest( Dar_Man_t * p )
+{
+ int i, Counter = 4;
+ for ( i = 0; i < Vec_PtrSize(p->vLeavesBest); i++ )
+ s_DarLib->pDatas[i].pFunc = Vec_PtrEntry( p->vLeavesBest, i );
+ Dar_LibBuildClear_rec( Dar_LibObj(s_DarLib, p->OutBest), &Counter );
+ return Dar_LibBuildBest_rec( p, Dar_LibObj(s_DarLib, p->OutBest) );
+}
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/dar/darMan.c b/src/aig/dar/darMan.c
new file mode 100644
index 00000000..0a5a36b1
--- /dev/null
+++ b/src/aig/dar/darMan.c
@@ -0,0 +1,133 @@
+/**CFile****************************************************************
+
+ FileName [darMan.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [DAG-aware AIG rewriting.]
+
+ Synopsis [AIG manager.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - April 28, 2007.]
+
+ Revision [$Id: darMan.c,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "darInt.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Starts the rewriting manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Dar_Man_t * Dar_ManStart( Aig_Man_t * pAig, Dar_RwrPar_t * pPars )
+{
+ Dar_Man_t * p;
+ // start the manager
+ p = ALLOC( Dar_Man_t, 1 );
+ memset( p, 0, sizeof(Dar_Man_t) );
+ p->pPars = pPars;
+ p->pAig = pAig;
+ // prepare the internal memory manager
+ p->pMemCuts = Aig_MmFixedStart( p->pPars->nCutsMax * sizeof(Dar_Cut_t), 1024 );
+ // other data
+ p->vLeavesBest = Vec_PtrAlloc( 4 );
+ return p;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Stops the rewriting manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Dar_ManStop( Dar_Man_t * p )
+{
+ if ( p->pPars->fVerbose )
+ Dar_ManPrintStats( p );
+ if ( p->pMemCuts )
+ Aig_MmFixedStop( p->pMemCuts, 0 );
+ if ( p->vLeavesBest )
+ Vec_PtrFree( p->vLeavesBest );
+ free( p );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Stops the AIG manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Dar_ManPrintStats( Dar_Man_t * p )
+{
+ unsigned pCanons[222];
+ int Gain, i;
+ extern void Kit_DsdPrintFromTruth( unsigned * pTruth, int nVars );
+
+ Gain = p->nNodesInit - Aig_ManNodeNum(p->pAig);
+ printf( "Tried = %8d. Beg = %8d. End = %8d. Gain = %6d. (%6.2f %%). Cut mem = %d Mb\n",
+ p->nNodesTried, p->nNodesInit, Aig_ManNodeNum(p->pAig), Gain, 100.0*Gain/p->nNodesInit, p->nCutMemUsed );
+ printf( "Cuts = %8d. Tried = %8d. Used = %8d. Bad = %5d. Skipped = %5d. Ave = %.2f.\n",
+ p->nCutsAll, p->nCutsTried, p->nCutsUsed, p->nCutsBad, p->nCutsSkipped,
+ (float)p->nCutsUsed/Aig_ManNodeNum(p->pAig) );
+
+ printf( "Bufs = %5d. BufMax = %5d. BufReplace = %6d. BufFix = %6d. Levels = %4d.\n",
+ Aig_ManBufNum(p->pAig), p->pAig->nBufMax, p->pAig->nBufReplaces, p->pAig->nBufFixes, Aig_ManLevels(p->pAig) );
+ PRT( "Cuts ", p->timeCuts );
+ PRT( "Eval ", p->timeEval );
+ PRT( "Other ", p->timeOther );
+ PRT( "TOTAL ", p->timeTotal );
+
+ if ( !p->pPars->fVeryVerbose )
+ return;
+ Dar_LibReturnCanonicals( pCanons );
+ for ( i = 0; i < 222; i++ )
+ {
+ if ( p->ClassGains[i] == 0 && p->ClassTimes[i] == 0 )
+ continue;
+ printf( "%3d : ", i );
+ printf( "G = %6d (%5.2f %%) ", p->ClassGains[i], Gain? 100.0*p->ClassGains[i]/Gain : 0.0 );
+ printf( "S = %8d (%5.2f %%) ", p->ClassSubgs[i], p->nTotalSubgs? 100.0*p->ClassSubgs[i]/p->nTotalSubgs : 0.0 );
+ printf( "R = %7d ", p->ClassGains[i]? p->ClassSubgs[i]/p->ClassGains[i] : 9999999 );
+// Kit_DsdPrintFromTruth( pCanons + i, 4 );
+// PRTP( "T", p->ClassTimes[i], p->timeEval );
+ printf( "\n" );
+ }
+}
+
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/dar/darPrec.c b/src/aig/dar/darPrec.c
new file mode 100644
index 00000000..8c3a4ce3
--- /dev/null
+++ b/src/aig/dar/darPrec.c
@@ -0,0 +1,387 @@
+/**CFile****************************************************************
+
+ FileName [darPrec.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [DAG-aware AIG rewriting.]
+
+ Synopsis [Truth table precomputation.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - April 28, 2007.]
+
+ Revision [$Id: darPrec.c,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "darInt.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Allocated one-memory-chunk array.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+char ** Dar_ArrayAlloc( int nCols, int nRows, int Size )
+{
+ char ** pRes;
+ char * pBuffer;
+ int i;
+ assert( nCols > 0 && nRows > 0 && Size > 0 );
+ pBuffer = ALLOC( char, nCols * (sizeof(void *) + nRows * Size) );
+ pRes = (char **)pBuffer;
+ pRes[0] = pBuffer + nCols * sizeof(void *);
+ for ( i = 1; i < nCols; i++ )
+ pRes[i] = pRes[0] + i * nRows * Size;
+ return pRes;
+}
+
+/**Function********************************************************************
+
+ Synopsis [Computes the factorial.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+******************************************************************************/
+int Dar_Factorial( int n )
+{
+ int i, Res = 1;
+ for ( i = 1; i <= n; i++ )
+ Res *= i;
+ return Res;
+}
+
+/**Function********************************************************************
+
+ Synopsis [Fills in the array of permutations.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+******************************************************************************/
+void Dar_Permutations_rec( char ** pRes, int nFact, int n, char Array[] )
+{
+ char ** pNext;
+ int nFactNext;
+ int iTemp, iCur, iLast, k;
+
+ if ( n == 1 )
+ {
+ pRes[0][0] = Array[0];
+ return;
+ }
+
+ // get the next factorial
+ nFactNext = nFact / n;
+ // get the last entry
+ iLast = n - 1;
+
+ for ( iCur = 0; iCur < n; iCur++ )
+ {
+ // swap Cur and Last
+ iTemp = Array[iCur];
+ Array[iCur] = Array[iLast];
+ Array[iLast] = iTemp;
+
+ // get the pointer to the current section
+ pNext = pRes + (n - 1 - iCur) * nFactNext;
+
+ // set the last entry
+ for ( k = 0; k < nFactNext; k++ )
+ pNext[k][iLast] = Array[iLast];
+
+ // call recursively for this part
+ Dar_Permutations_rec( pNext, nFactNext, n - 1, Array );
+
+ // swap them back
+ iTemp = Array[iCur];
+ Array[iCur] = Array[iLast];
+ Array[iLast] = iTemp;
+ }
+}
+
+/**Function********************************************************************
+
+ Synopsis [Computes the set of all permutations.]
+
+ Description [The number of permutations in the array is n!. The number of
+ entries in each permutation is n. Therefore, the resulting array is a
+ two-dimentional array of the size: n! x n. To free the resulting array,
+ call free() on the pointer returned by this procedure.]
+
+ SideEffects []
+
+ SeeAlso []
+
+******************************************************************************/
+char ** Dar_Permutations( int n )
+{
+ char Array[50];
+ char ** pRes;
+ int nFact, i;
+ // allocate memory
+ nFact = Dar_Factorial( n );
+ pRes = Dar_ArrayAlloc( nFact, n, sizeof(char) );
+ // fill in the permutations
+ for ( i = 0; i < n; i++ )
+ Array[i] = i;
+ Dar_Permutations_rec( pRes, nFact, n, Array );
+ // print the permutations
+/*
+ {
+ int i, k;
+ for ( i = 0; i < nFact; i++ )
+ {
+ printf( "{" );
+ for ( k = 0; k < n; k++ )
+ printf( " %d", pRes[i][k] );
+ printf( " }\n" );
+ }
+ }
+*/
+ return pRes;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Permutes the given vector of minterms.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Dar_TruthPermute_int( int * pMints, int nMints, char * pPerm, int nVars, int * pMintsP )
+{
+ int m, v;
+ // clean the storage for minterms
+ memset( pMintsP, 0, sizeof(int) * nMints );
+ // go through minterms and add the variables
+ for ( m = 0; m < nMints; m++ )
+ for ( v = 0; v < nVars; v++ )
+ if ( pMints[m] & (1 << v) )
+ pMintsP[m] |= (1 << pPerm[v]);
+}
+
+/**Function*************************************************************
+
+ Synopsis [Permutes the function.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+unsigned Dar_TruthPermute( unsigned Truth, char * pPerms, int nVars, int fReverse )
+{
+ unsigned Result;
+ int * pMints;
+ int * pMintsP;
+ int nMints;
+ int i, m;
+
+ assert( nVars < 6 );
+ nMints = (1 << nVars);
+ pMints = ALLOC( int, nMints );
+ pMintsP = ALLOC( int, nMints );
+ for ( i = 0; i < nMints; i++ )
+ pMints[i] = i;
+
+ Dar_TruthPermute_int( pMints, nMints, pPerms, nVars, pMintsP );
+
+ Result = 0;
+ if ( fReverse )
+ {
+ for ( m = 0; m < nMints; m++ )
+ if ( Truth & (1 << pMintsP[m]) )
+ Result |= (1 << m);
+ }
+ else
+ {
+ for ( m = 0; m < nMints; m++ )
+ if ( Truth & (1 << m) )
+ Result |= (1 << pMintsP[m]);
+ }
+
+ free( pMints );
+ free( pMintsP );
+
+ return Result;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Changes the phase of the function.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+unsigned Dar_TruthPolarize( unsigned uTruth, int Polarity, int nVars )
+{
+ // elementary truth tables
+ static unsigned Signs[5] = {
+ 0xAAAAAAAA, // 1010 1010 1010 1010 1010 1010 1010 1010
+ 0xCCCCCCCC, // 1010 1010 1010 1010 1010 1010 1010 1010
+ 0xF0F0F0F0, // 1111 0000 1111 0000 1111 0000 1111 0000
+ 0xFF00FF00, // 1111 1111 0000 0000 1111 1111 0000 0000
+ 0xFFFF0000 // 1111 1111 1111 1111 0000 0000 0000 0000
+ };
+ unsigned uTruthRes, uCof0, uCof1;
+ int nMints, Shift, v;
+ assert( nVars < 6 );
+ nMints = (1 << nVars);
+ uTruthRes = uTruth;
+ for ( v = 0; v < nVars; v++ )
+ if ( Polarity & (1 << v) )
+ {
+ uCof0 = uTruth & ~Signs[v];
+ uCof1 = uTruth & Signs[v];
+ Shift = (1 << v);
+ uCof0 <<= Shift;
+ uCof1 >>= Shift;
+ uTruth = uCof0 | uCof1;
+ }
+ return uTruth;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes NPN canonical forms for 4-variable functions.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Dar_Truth4VarNPN( unsigned short ** puCanons, char ** puPhases, char ** puPerms, unsigned char ** puMap )
+{
+ unsigned short * uCanons;
+ unsigned char * uMap;
+ unsigned uTruth, uPhase, uPerm;
+ char ** pPerms4, * uPhases, * uPerms;
+ int nFuncs, nClasses;
+ int i, k;
+
+ nFuncs = (1 << 16);
+ uCanons = ALLOC( unsigned short, nFuncs );
+ uPhases = ALLOC( char, nFuncs );
+ uPerms = ALLOC( char, nFuncs );
+ uMap = ALLOC( unsigned char, nFuncs );
+ memset( uCanons, 0, sizeof(unsigned short) * nFuncs );
+ memset( uPhases, 0, sizeof(char) * nFuncs );
+ memset( uPerms, 0, sizeof(char) * nFuncs );
+ memset( uMap, 0, sizeof(unsigned char) * nFuncs );
+ pPerms4 = Dar_Permutations( 4 );
+
+ nClasses = 1;
+ nFuncs = (1 << 15);
+ for ( uTruth = 1; uTruth < (unsigned)nFuncs; uTruth++ )
+ {
+ // skip already assigned
+ if ( uCanons[uTruth] )
+ {
+ assert( uTruth > uCanons[uTruth] );
+ uMap[~uTruth & 0xFFFF] = uMap[uTruth] = uMap[uCanons[uTruth]];
+ continue;
+ }
+ uMap[uTruth] = nClasses++;
+ for ( i = 0; i < 16; i++ )
+ {
+ uPhase = Dar_TruthPolarize( uTruth, i, 4 );
+ for ( k = 0; k < 24; k++ )
+ {
+ uPerm = Dar_TruthPermute( uPhase, pPerms4[k], 4, 0 );
+ if ( uCanons[uPerm] == 0 )
+ {
+ uCanons[uPerm] = uTruth;
+ uPhases[uPerm] = i;
+ uPerms[uPerm] = k;
+
+ uPerm = ~uPerm & 0xFFFF;
+ uCanons[uPerm] = uTruth;
+ uPhases[uPerm] = i | 16;
+ uPerms[uPerm] = k;
+ }
+ else
+ assert( uCanons[uPerm] == uTruth );
+ }
+ uPhase = Dar_TruthPolarize( ~uTruth & 0xFFFF, i, 4 );
+ for ( k = 0; k < 24; k++ )
+ {
+ uPerm = Dar_TruthPermute( uPhase, pPerms4[k], 4, 0 );
+ if ( uCanons[uPerm] == 0 )
+ {
+ uCanons[uPerm] = uTruth;
+ uPhases[uPerm] = i;
+ uPerms[uPerm] = k;
+
+ uPerm = ~uPerm & 0xFFFF;
+ uCanons[uPerm] = uTruth;
+ uPhases[uPerm] = i | 16;
+ uPerms[uPerm] = k;
+ }
+ else
+ assert( uCanons[uPerm] == uTruth );
+ }
+ }
+ }
+ uPhases[(1<<16)-1] = 16;
+ assert( nClasses == 222 );
+ free( pPerms4 );
+ if ( puCanons )
+ *puCanons = uCanons;
+ else
+ free( uCanons );
+ if ( puPhases )
+ *puPhases = uPhases;
+ else
+ free( uPhases );
+ if ( puPerms )
+ *puPerms = uPerms;
+ else
+ free( uPerms );
+ if ( puMap )
+ *puMap = uMap;
+ else
+ free( uMap );
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/dar/darRefact.c b/src/aig/dar/darRefact.c
new file mode 100644
index 00000000..a765ec30
--- /dev/null
+++ b/src/aig/dar/darRefact.c
@@ -0,0 +1,591 @@
+/**CFile****************************************************************
+
+ FileName [darRefact.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [DAG-aware AIG rewriting.]
+
+ Synopsis [Refactoring.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - April 28, 2007.]
+
+ Revision [$Id: darRefact.c,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "darInt.h"
+#include "kit.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+// the refactoring manager
+typedef struct Ref_Man_t_ Ref_Man_t;
+struct Ref_Man_t_
+{
+ // input data
+ Dar_RefPar_t * pPars; // rewriting parameters
+ Aig_Man_t * pAig; // AIG manager
+ // computed cuts
+ Vec_Vec_t * vCuts; // the storage for cuts
+ // truth table and ISOP
+ Vec_Ptr_t * vTruthElem; // elementary truth tables
+ Vec_Ptr_t * vTruthStore; // storage for truth tables
+ Vec_Int_t * vMemory; // storage for ISOP
+ Vec_Ptr_t * vCutNodes; // storage for internal nodes of the cut
+ // various data members
+ Vec_Ptr_t * vLeavesBest; // the best set of leaves
+ Kit_Graph_t * pGraphBest; // the best factored form
+ int GainBest; // the best gain
+ int LevelBest; // the level of node with the best gain
+ // node statistics
+ int nNodesInit; // the initial number of nodes
+ int nNodesTried; // the number of nodes tried
+ int nNodesBelow; // the number of nodes below the level limit
+ int nNodesExten; // the number of nodes with extended cut
+ int nCutsUsed; // the number of rewriting steps
+ int nCutsTried; // the number of cuts tries
+ // timing statistics
+ int timeCuts;
+ int timeEval;
+ int timeOther;
+ int timeTotal;
+};
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Returns the structure with default assignment of parameters.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Dar_ManDefaultRefParams( Dar_RefPar_t * pPars )
+{
+ memset( pPars, 0, sizeof(Dar_RefPar_t) );
+ pPars->nMffcMin = 2; // the min MFFC size for which refactoring is used
+ pPars->nLeafMax = 12; // the max number of leaves of a cut
+ pPars->nCutsMax = 5; // the max number of cuts to consider
+ pPars->fUpdateLevel = 0;
+ pPars->fUseZeros = 0;
+ pPars->fVerbose = 0;
+ pPars->fVeryVerbose = 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Starts the rewriting manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ref_Man_t * Dar_ManRefStart( Aig_Man_t * pAig, Dar_RefPar_t * pPars )
+{
+ Ref_Man_t * p;
+ // start the manager
+ p = ALLOC( Ref_Man_t, 1 );
+ memset( p, 0, sizeof(Ref_Man_t) );
+ p->pAig = pAig;
+ p->pPars = pPars;
+ // other data
+ p->vCuts = Vec_VecStart( pPars->nCutsMax );
+ p->vTruthElem = Vec_PtrAllocTruthTables( pPars->nLeafMax );
+ p->vTruthStore = Vec_PtrAllocSimInfo( 256, Kit_TruthWordNum(pPars->nLeafMax) );
+ p->vMemory = Vec_IntAlloc( 1 << 16 );
+ p->vCutNodes = Vec_PtrAlloc( 256 );
+ p->vLeavesBest = Vec_PtrAlloc( pPars->nLeafMax );
+ return p;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Prints out the statistics of the manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Dar_ManRefPrintStats( Ref_Man_t * p )
+{
+ int Gain = p->nNodesInit - Aig_ManNodeNum(p->pAig);
+ printf( "NodesBeg = %8d. NodesEnd = %8d. Gain = %6d. (%6.2f %%).\n",
+ p->nNodesInit, Aig_ManNodeNum(p->pAig), Gain, 100.0*Gain/p->nNodesInit );
+ printf( "Tried = %6d. Below = %5d. Extended = %5d. Used = %5d. Levels = %4d.\n",
+ p->nNodesTried, p->nNodesBelow, p->nNodesExten, p->nCutsUsed, Aig_ManLevels(p->pAig) );
+ PRT( "Cuts ", p->timeCuts );
+ PRT( "Eval ", p->timeEval );
+ PRT( "Other ", p->timeOther );
+ PRT( "TOTAL ", p->timeTotal );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Stops the rewriting manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Dar_ManRefStop( Ref_Man_t * p )
+{
+ if ( p->pPars->fVerbose )
+ Dar_ManRefPrintStats( p );
+ Vec_VecFree( p->vCuts );
+ Vec_PtrFree( p->vTruthElem );
+ Vec_PtrFree( p->vTruthStore );
+ Vec_PtrFree( p->vLeavesBest );
+ Vec_IntFree( p->vMemory );
+ Vec_PtrFree( p->vCutNodes );
+ free( p );
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ref_ObjComputeCuts( Aig_Man_t * pAig, Aig_Obj_t * pRoot, Vec_Vec_t * vCuts )
+{
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ref_ObjPrint( Aig_Obj_t * pObj )
+{
+ printf( "%d", pObj? Aig_Regular(pObj)->Id : -1 );
+ if ( pObj )
+ printf( "(%d) ", Aig_IsComplement(pObj) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Counts the number of new nodes added when using this graph.]
+
+ Description [AIG nodes for the fanins should be assigned to pNode->pFunc
+ of the leaves of the graph before calling this procedure.
+ Returns -1 if the number of nodes and levels exceeded the given limit or
+ the number of levels exceeded the maximum allowed level.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Dar_RefactTryGraph( Aig_Man_t * pAig, Aig_Obj_t * pRoot, Vec_Ptr_t * vCut, Kit_Graph_t * pGraph, int NodeMax, int LevelMax )
+{
+ Kit_Node_t * pNode, * pNode0, * pNode1;
+ Aig_Obj_t * pAnd, * pAnd0, * pAnd1;
+ int i, Counter, LevelNew, LevelOld;
+ // check for constant function or a literal
+ if ( Kit_GraphIsConst(pGraph) || Kit_GraphIsVar(pGraph) )
+ return 0;
+ // set the levels of the leaves
+ Kit_GraphForEachLeaf( pGraph, pNode, i )
+ {
+ pNode->pFunc = Vec_PtrEntry(vCut, i);
+ pNode->Level = Aig_Regular(pNode->pFunc)->Level;
+ assert( Aig_Regular(pNode->pFunc)->Level < (1<<14)-1 );
+ }
+//printf( "Trying:\n" );
+ // compute the AIG size after adding the internal nodes
+ Counter = 0;
+ Kit_GraphForEachNode( pGraph, pNode, i )
+ {
+ // get the children of this node
+ pNode0 = Kit_GraphNode( pGraph, pNode->eEdge0.Node );
+ pNode1 = Kit_GraphNode( pGraph, pNode->eEdge1.Node );
+ // get the AIG nodes corresponding to the children
+ pAnd0 = pNode0->pFunc;
+ pAnd1 = pNode1->pFunc;
+ if ( pAnd0 && pAnd1 )
+ {
+ // if they are both present, find the resulting node
+ pAnd0 = Aig_NotCond( pAnd0, pNode->eEdge0.fCompl );
+ pAnd1 = Aig_NotCond( pAnd1, pNode->eEdge1.fCompl );
+ pAnd = Aig_TableLookupTwo( pAig, pAnd0, pAnd1 );
+ // return -1 if the node is the same as the original root
+ if ( Aig_Regular(pAnd) == pRoot )
+ return -1;
+ }
+ else
+ pAnd = NULL;
+ // count the number of added nodes
+ if ( pAnd == NULL || Aig_ObjIsTravIdCurrent(pAig, Aig_Regular(pAnd)) )
+ {
+ if ( ++Counter > NodeMax )
+ return -1;
+ }
+ // count the number of new levels
+ LevelNew = 1 + AIG_MAX( pNode0->Level, pNode1->Level );
+ if ( pAnd )
+ {
+ if ( Aig_Regular(pAnd) == Aig_ManConst1(pAig) )
+ LevelNew = 0;
+ else if ( Aig_Regular(pAnd) == Aig_Regular(pAnd0) )
+ LevelNew = (int)Aig_Regular(pAnd0)->Level;
+ else if ( Aig_Regular(pAnd) == Aig_Regular(pAnd1) )
+ LevelNew = (int)Aig_Regular(pAnd1)->Level;
+ LevelOld = (int)Aig_Regular(pAnd)->Level;
+// assert( LevelNew == LevelOld );
+ }
+ if ( LevelNew > LevelMax )
+ return -1;
+ pNode->pFunc = pAnd;
+ pNode->Level = LevelNew;
+/*
+printf( "Checking " );
+Ref_ObjPrint( pAnd0 );
+printf( " and " );
+Ref_ObjPrint( pAnd1 );
+printf( " Result " );
+Ref_ObjPrint( pNode->pFunc );
+printf( "\n" );
+*/
+ }
+ return Counter;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Obj_t * Dar_RefactBuildGraph( Aig_Man_t * pAig, Vec_Ptr_t * vCut, Kit_Graph_t * pGraph )
+{
+ Aig_Obj_t * pAnd0, * pAnd1;
+ Kit_Node_t * pNode = NULL;
+ int i;
+ // check for constant function
+ if ( Kit_GraphIsConst(pGraph) )
+ return Aig_NotCond( Aig_ManConst1(pAig), Kit_GraphIsComplement(pGraph) );
+ // set the leaves
+ Kit_GraphForEachLeaf( pGraph, pNode, i )
+ pNode->pFunc = Vec_PtrEntry(vCut, i);
+ // check for a literal
+ if ( Kit_GraphIsVar(pGraph) )
+ return Aig_NotCond( Kit_GraphVar(pGraph)->pFunc, Kit_GraphIsComplement(pGraph) );
+ // build the AIG nodes corresponding to the AND gates of the graph
+//printf( "Building (current number %d):\n", Aig_ManObjNumMax(pAig) );
+ Kit_GraphForEachNode( pGraph, pNode, i )
+ {
+ pAnd0 = Aig_NotCond( Kit_GraphNode(pGraph, pNode->eEdge0.Node)->pFunc, pNode->eEdge0.fCompl );
+ pAnd1 = Aig_NotCond( Kit_GraphNode(pGraph, pNode->eEdge1.Node)->pFunc, pNode->eEdge1.fCompl );
+ pNode->pFunc = Aig_And( pAig, pAnd0, pAnd1 );
+/*
+printf( "Checking " );
+Ref_ObjPrint( pAnd0 );
+printf( " and " );
+Ref_ObjPrint( pAnd1 );
+printf( " Result " );
+Ref_ObjPrint( pNode->pFunc );
+printf( "\n" );
+*/
+ }
+ // complement the result if necessary
+ return Aig_NotCond( pNode->pFunc, Kit_GraphIsComplement(pGraph) );
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Dar_ManRefactorTryCuts( Ref_Man_t * p, Aig_Obj_t * pObj, int nNodesSaved, int Required )
+{
+ Vec_Ptr_t * vCut;
+ Kit_Graph_t * pGraphCur;
+ int k, RetValue, GainCur, nNodesAdded;
+ unsigned * pTruth;
+
+ p->GainBest = -1;
+ p->pGraphBest = NULL;
+ Vec_VecForEachLevel( p->vCuts, vCut, k )
+ {
+ if ( Vec_PtrSize(vCut) == 0 )
+ continue;
+// if ( Vec_PtrSize(vCut) != 0 && Vec_PtrSize(Vec_VecEntry(p->vCuts, k+1)) != 0 )
+// continue;
+
+ p->nCutsTried++;
+ // get the cut nodes
+ Aig_ObjCollectCut( pObj, vCut, p->vCutNodes );
+ // get the truth table
+ pTruth = Aig_ManCutTruth( pObj, vCut, p->vCutNodes, p->vTruthElem, p->vTruthStore );
+ if ( Kit_TruthIsConst0(pTruth, Vec_PtrSize(vCut)) )
+ {
+ p->GainBest = Vec_PtrSize(p->vCutNodes);
+ p->pGraphBest = Kit_GraphCreateConst0();
+ Vec_PtrCopy( p->vLeavesBest, vCut );
+ return p->GainBest;
+ }
+ if ( Kit_TruthIsConst1(pTruth, Vec_PtrSize(vCut)) )
+ {
+ p->GainBest = Vec_PtrSize(p->vCutNodes);
+ p->pGraphBest = Kit_GraphCreateConst1();
+ Vec_PtrCopy( p->vLeavesBest, vCut );
+ return p->GainBest;
+ }
+
+ // try the positive phase
+ RetValue = Kit_TruthIsop( pTruth, Vec_PtrSize(vCut), p->vMemory, 0 );
+ if ( RetValue > -1 )
+ {
+ pGraphCur = Kit_SopFactor( p->vMemory, 0, Vec_PtrSize(vCut), p->vMemory );
+ nNodesAdded = Dar_RefactTryGraph( p->pAig, pObj, vCut, pGraphCur, nNodesSaved - !p->pPars->fUseZeros, Required );
+ if ( nNodesAdded > -1 )
+ {
+ GainCur = nNodesSaved - nNodesAdded;
+ if ( p->GainBest < GainCur || (p->GainBest == GainCur &&
+ (Kit_GraphIsConst(pGraphCur) || Kit_GraphRootLevel(pGraphCur) < Kit_GraphRootLevel(p->pGraphBest))) )
+ {
+ p->GainBest = GainCur;
+ if ( p->pGraphBest )
+ Kit_GraphFree( p->pGraphBest );
+ p->pGraphBest = pGraphCur;
+ Vec_PtrCopy( p->vLeavesBest, vCut );
+ }
+ else
+ Kit_GraphFree( pGraphCur );
+ }
+ else
+ Kit_GraphFree( pGraphCur );
+ }
+ // try negative phase
+ Kit_TruthNot( pTruth, pTruth, Vec_PtrSize(vCut) );
+ RetValue = Kit_TruthIsop( pTruth, Vec_PtrSize(vCut), p->vMemory, 0 );
+ if ( RetValue > -1 )
+ {
+ pGraphCur = Kit_SopFactor( p->vMemory, 1, Vec_PtrSize(vCut), p->vMemory );
+ nNodesAdded = Dar_RefactTryGraph( p->pAig, pObj, vCut, pGraphCur, nNodesSaved - !p->pPars->fUseZeros, Required );
+ if ( nNodesAdded > -1 )
+ {
+ GainCur = nNodesSaved - nNodesAdded;
+ if ( p->GainBest < GainCur || (p->GainBest == GainCur &&
+ (Kit_GraphIsConst(pGraphCur) || Kit_GraphRootLevel(pGraphCur) < Kit_GraphRootLevel(p->pGraphBest))) )
+ {
+ p->GainBest = GainCur;
+ if ( p->pGraphBest )
+ Kit_GraphFree( p->pGraphBest );
+ p->pGraphBest = pGraphCur;
+ Vec_PtrCopy( p->vLeavesBest, vCut );
+ }
+ else
+ Kit_GraphFree( pGraphCur );
+ }
+ else
+ Kit_GraphFree( pGraphCur );
+ }
+ }
+ return p->GainBest;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns 1 if a non-PI node has nLevelMin or below.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Dar_ObjCutLevelAchieved( Vec_Ptr_t * vCut, int nLevelMin )
+{
+ Aig_Obj_t * pObj;
+ int i;
+ Vec_PtrForEachEntry( vCut, pObj, i )
+ if ( !Aig_ObjIsPi(pObj) && (int)pObj->Level <= nLevelMin )
+ return 1;
+ return 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Dar_ManRefactor( Aig_Man_t * pAig, Dar_RefPar_t * pPars )
+{
+// Bar_Progress_t * pProgress;
+ Ref_Man_t * p;
+ Vec_Ptr_t * vCut, * vCut2;
+ Aig_Obj_t * pObj, * pObjNew;
+ int nNodesOld, nNodeBefore, nNodeAfter, nNodesSaved, nNodesSaved2;
+ int i, Required, nLevelMin, clkStart, clk;
+
+ // start the manager
+ p = Dar_ManRefStart( pAig, pPars );
+ // remove dangling nodes
+ Aig_ManCleanup( pAig );
+ // if updating levels is requested, start fanout and timing
+ Aig_ManFanoutStart( pAig );
+ if ( p->pPars->fUpdateLevel )
+ Aig_ManStartReverseLevels( pAig, 0 );
+
+ // resynthesize each node once
+ clkStart = clock();
+ vCut = Vec_VecEntry( p->vCuts, 0 );
+ vCut2 = Vec_VecEntry( p->vCuts, 1 );
+ p->nNodesInit = Aig_ManNodeNum(pAig);
+ nNodesOld = Vec_PtrSize( pAig->vObjs );
+// pProgress = Bar_ProgressStart( stdout, nNodesOld );
+ Aig_ManForEachObj( pAig, pObj, i )
+ {
+// Bar_ProgressUpdate( pProgress, i, NULL );
+ if ( !Aig_ObjIsNode(pObj) )
+ continue;
+ if ( i > nNodesOld )
+ break;
+ Vec_VecClear( p->vCuts );
+
+//printf( "\nConsidering node %d.\n", pObj->Id );
+ // get the bounded MFFC size
+clk = clock();
+ nLevelMin = AIG_MAX( 0, Aig_ObjLevel(pObj) - 10 );
+ nNodesSaved = Aig_NodeMffsSupp( pAig, pObj, nLevelMin, vCut );
+ if ( nNodesSaved < p->pPars->nMffcMin ) // too small to consider
+ {
+p->timeCuts += clock() - clk;
+ continue;
+ }
+ p->nNodesTried++;
+ if ( Vec_PtrSize(vCut) > p->pPars->nLeafMax ) // get one reconv-driven cut
+ {
+ Aig_ManFindCut( pObj, vCut, p->vCutNodes, p->pPars->nLeafMax, 50 );
+ nNodesSaved = Aig_NodeMffsLabelCut( p->pAig, pObj, vCut );
+ }
+ else if ( Vec_PtrSize(vCut) < p->pPars->nLeafMax - 2 && p->pPars->fExtend )
+ {
+ if ( !Dar_ObjCutLevelAchieved(vCut, nLevelMin) )
+ {
+ if ( Aig_NodeMffsExtendCut( pAig, pObj, vCut, vCut2 ) )
+ {
+ nNodesSaved2 = Aig_NodeMffsLabelCut( p->pAig, pObj, vCut );
+ assert( nNodesSaved2 == nNodesSaved );
+ }
+ if ( Vec_PtrSize(vCut2) > p->pPars->nLeafMax )
+ Vec_PtrClear(vCut2);
+ if ( Vec_PtrSize(vCut2) > 0 )
+ {
+ p->nNodesExten++;
+// printf( "%d(%d) ", Vec_PtrSize(vCut), Vec_PtrSize(vCut2) );
+ }
+ }
+ else
+ p->nNodesBelow++;
+ }
+p->timeCuts += clock() - clk;
+
+ // try the cuts
+clk = clock();
+ Required = pAig->vLevelR? Aig_ObjRequiredLevel(pAig, pObj) : AIG_INFINITY;
+ Dar_ManRefactorTryCuts( p, pObj, nNodesSaved, Required );
+p->timeEval += clock() - clk;
+
+ // check the best gain
+ if ( !(p->GainBest > 0 || (p->GainBest == 0 && p->pPars->fUseZeros)) )
+ {
+ if ( p->pGraphBest )
+ Kit_GraphFree( p->pGraphBest );
+ continue;
+ }
+//printf( "\n" );
+
+ // if we end up here, a rewriting step is accepted
+ nNodeBefore = Aig_ManNodeNum( pAig );
+ pObjNew = Dar_RefactBuildGraph( pAig, p->vLeavesBest, p->pGraphBest );
+ assert( (int)Aig_Regular(pObjNew)->Level <= Required );
+ // replace the node
+ Aig_ObjReplace( pAig, pObj, pObjNew, 1, p->pPars->fUpdateLevel );
+ // compare the gains
+ nNodeAfter = Aig_ManNodeNum( pAig );
+ assert( p->GainBest <= nNodeBefore - nNodeAfter );
+ Kit_GraphFree( p->pGraphBest );
+ p->nCutsUsed++;
+// break;
+ }
+p->timeTotal = clock() - clkStart;
+p->timeOther = p->timeTotal - p->timeCuts - p->timeEval;
+
+// Bar_ProgressStop( pProgress );
+ // put the nodes into the DFS order and reassign their IDs
+// Aig_NtkReassignIds( p );
+ // fix the levels
+ Aig_ManFanoutStop( pAig );
+ if ( p->pPars->fUpdateLevel )
+ Aig_ManStopReverseLevels( pAig );
+
+ // stop the rewriting manager
+ Dar_ManRefStop( p );
+ Aig_ManCheckPhase( pAig );
+ if ( !Aig_ManCheck( pAig ) )
+ {
+ printf( "Dar_ManRefactor: The network check has failed.\n" );
+ return 0;
+ }
+ return 1;
+
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/dar/darResub.c b/src/aig/dar/darResub.c
new file mode 100644
index 00000000..f819934e
--- /dev/null
+++ b/src/aig/dar/darResub.c
@@ -0,0 +1,48 @@
+/**CFile****************************************************************
+
+ FileName [darResub.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [DAG-aware AIG rewriting.]
+
+ Synopsis []
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - April 28, 2007.]
+
+ Revision [$Id: darResub.c,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "darInt.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/dar/darScript.c b/src/aig/dar/darScript.c
new file mode 100644
index 00000000..530e913e
--- /dev/null
+++ b/src/aig/dar/darScript.c
@@ -0,0 +1,393 @@
+/**CFile****************************************************************
+
+ FileName [darScript.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [DAG-aware AIG rewriting.]
+
+ Synopsis [Rewriting scripts.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - April 28, 2007.]
+
+ Revision [$Id: darScript.c,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "darInt.h"
+//#include "ioa.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Performs one iteration of AIG rewriting.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Man_t * Dar_ManRewriteDefault( Aig_Man_t * pAig )
+{
+ Aig_Man_t * pTemp;
+ Dar_RwrPar_t Pars, * pPars = &Pars;
+ Dar_ManDefaultRwrParams( pPars );
+ pAig = Aig_ManDup( pAig, 0 );
+ Dar_ManRewrite( pAig, pPars );
+ pAig = Aig_ManDup( pTemp = pAig, 0 );
+ Aig_ManStop( pTemp );
+ return pAig;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Reproduces script "compress2".]
+
+ Description []
+
+ SideEffects [This procedure does not tighten level during restructuring.]
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Man_t * Dar_ManRwsat( Aig_Man_t * pAig, int fBalance, int fVerbose )
+//alias rwsat "st; rw -l; b -l; rw -l; rf -l"
+{
+ Aig_Man_t * pTemp;
+
+ Dar_RwrPar_t ParsRwr, * pParsRwr = &ParsRwr;
+ Dar_RefPar_t ParsRef, * pParsRef = &ParsRef;
+
+ Dar_ManDefaultRwrParams( pParsRwr );
+ Dar_ManDefaultRefParams( pParsRef );
+
+ pParsRwr->fUpdateLevel = 0;
+ pParsRef->fUpdateLevel = 0;
+
+ pParsRwr->fVerbose = fVerbose;
+ pParsRef->fVerbose = fVerbose;
+
+ pAig = Aig_ManDup( pAig, 0 );
+ if ( fVerbose ) Aig_ManPrintStats( pAig );
+
+ // rewrite
+ Dar_ManRewrite( pAig, pParsRwr );
+ pAig = Aig_ManDup( pTemp = pAig, 0 );
+ Aig_ManStop( pTemp );
+ if ( fVerbose ) Aig_ManPrintStats( pAig );
+
+ // refactor
+ Dar_ManRefactor( pAig, pParsRef );
+ pAig = Aig_ManDup( pTemp = pAig, 0 );
+ Aig_ManStop( pTemp );
+ if ( fVerbose ) Aig_ManPrintStats( pAig );
+
+ // balance
+ if ( fBalance )
+ {
+ pAig = Dar_ManBalance( pTemp = pAig, 0 );
+ Aig_ManStop( pTemp );
+ if ( fVerbose ) Aig_ManPrintStats( pAig );
+ }
+
+ // rewrite
+ Dar_ManRewrite( pAig, pParsRwr );
+ pAig = Aig_ManDup( pTemp = pAig, 0 );
+ Aig_ManStop( pTemp );
+ if ( fVerbose ) Aig_ManPrintStats( pAig );
+
+ return pAig;
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Reproduces script "compress".]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Man_t * Dar_ManCompress( Aig_Man_t * pAig, int fBalance, int fUpdateLevel, int fVerbose )
+//alias compress2 "b -l; rw -l; rwz -l; b -l; rwz -l; b -l"
+{
+ Aig_Man_t * pTemp;
+
+ Dar_RwrPar_t ParsRwr, * pParsRwr = &ParsRwr;
+ Dar_RefPar_t ParsRef, * pParsRef = &ParsRef;
+
+ Dar_ManDefaultRwrParams( pParsRwr );
+ Dar_ManDefaultRefParams( pParsRef );
+
+ pParsRwr->fUpdateLevel = fUpdateLevel;
+ pParsRef->fUpdateLevel = fUpdateLevel;
+
+ pParsRwr->fVerbose = 0;//fVerbose;
+ pParsRef->fVerbose = 0;//fVerbose;
+
+ pAig = Aig_ManDup( pAig, 0 );
+ if ( fVerbose ) Aig_ManPrintStats( pAig );
+
+ // balance
+ if ( fBalance )
+ {
+// pAig = Dar_ManBalance( pTemp = pAig, fUpdateLevel );
+// Aig_ManStop( pTemp );
+// if ( fVerbose ) Aig_ManPrintStats( pAig );
+ }
+
+ // rewrite
+ Dar_ManRewrite( pAig, pParsRwr );
+ pAig = Aig_ManDup( pTemp = pAig, 0 );
+ Aig_ManStop( pTemp );
+ if ( fVerbose ) Aig_ManPrintStats( pAig );
+
+ // refactor
+ Dar_ManRefactor( pAig, pParsRef );
+ pAig = Aig_ManDup( pTemp = pAig, 0 );
+ Aig_ManStop( pTemp );
+ if ( fVerbose ) Aig_ManPrintStats( pAig );
+
+ // balance
+ if ( fBalance )
+ {
+ pAig = Dar_ManBalance( pTemp = pAig, fUpdateLevel );
+ Aig_ManStop( pTemp );
+ if ( fVerbose ) Aig_ManPrintStats( pAig );
+ }
+
+ pParsRwr->fUseZeros = 1;
+ pParsRef->fUseZeros = 1;
+
+ // rewrite
+ Dar_ManRewrite( pAig, pParsRwr );
+ pAig = Aig_ManDup( pTemp = pAig, 0 );
+ Aig_ManStop( pTemp );
+ if ( fVerbose ) Aig_ManPrintStats( pAig );
+
+ return pAig;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Reproduces script "compress2".]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Man_t * Dar_ManCompress2( Aig_Man_t * pAig, int fBalance, int fUpdateLevel, int fVerbose )
+//alias compress2 "b -l; rw -l; rf -l; b -l; rw -l; rwz -l; b -l; rfz -l; rwz -l; b -l"
+{
+ Aig_Man_t * pTemp;
+
+ Dar_RwrPar_t ParsRwr, * pParsRwr = &ParsRwr;
+ Dar_RefPar_t ParsRef, * pParsRef = &ParsRef;
+
+ Dar_ManDefaultRwrParams( pParsRwr );
+ Dar_ManDefaultRefParams( pParsRef );
+
+ pParsRwr->fUpdateLevel = fUpdateLevel;
+ pParsRef->fUpdateLevel = fUpdateLevel;
+
+ pParsRwr->fVerbose = 0;//fVerbose;
+ pParsRef->fVerbose = 0;//fVerbose;
+
+ pAig = Aig_ManDup( pAig, 0 );
+ if ( fVerbose ) Aig_ManPrintStats( pAig );
+
+ // balance
+ if ( fBalance )
+ {
+// pAig = Dar_ManBalance( pTemp = pAig, fUpdateLevel );
+// Aig_ManStop( pTemp );
+// if ( fVerbose ) Aig_ManPrintStats( pAig );
+ }
+
+
+ // rewrite
+ Dar_ManRewrite( pAig, pParsRwr );
+ pAig = Aig_ManDup( pTemp = pAig, 0 );
+ Aig_ManStop( pTemp );
+ if ( fVerbose ) Aig_ManPrintStats( pAig );
+
+ // refactor
+ Dar_ManRefactor( pAig, pParsRef );
+ pAig = Aig_ManDup( pTemp = pAig, 0 );
+ Aig_ManStop( pTemp );
+ if ( fVerbose ) Aig_ManPrintStats( pAig );
+
+ // balance
+// if ( fBalance )
+ {
+ pAig = Dar_ManBalance( pTemp = pAig, fUpdateLevel );
+ Aig_ManStop( pTemp );
+ if ( fVerbose ) Aig_ManPrintStats( pAig );
+ }
+
+ // rewrite
+ Dar_ManRewrite( pAig, pParsRwr );
+ pAig = Aig_ManDup( pTemp = pAig, 0 );
+ Aig_ManStop( pTemp );
+ if ( fVerbose ) Aig_ManPrintStats( pAig );
+
+ pParsRwr->fUseZeros = 1;
+ pParsRef->fUseZeros = 1;
+
+ // rewrite
+ Dar_ManRewrite( pAig, pParsRwr );
+ pAig = Aig_ManDup( pTemp = pAig, 0 );
+ Aig_ManStop( pTemp );
+ if ( fVerbose ) Aig_ManPrintStats( pAig );
+
+ // balance
+ if ( fBalance )
+ {
+ pAig = Dar_ManBalance( pTemp = pAig, fUpdateLevel );
+ Aig_ManStop( pTemp );
+ if ( fVerbose ) Aig_ManPrintStats( pAig );
+ }
+
+ // refactor
+ Dar_ManRefactor( pAig, pParsRef );
+ pAig = Aig_ManDup( pTemp = pAig, 0 );
+ Aig_ManStop( pTemp );
+ if ( fVerbose ) Aig_ManPrintStats( pAig );
+
+ // rewrite
+ Dar_ManRewrite( pAig, pParsRwr );
+ pAig = Aig_ManDup( pTemp = pAig, 0 );
+ Aig_ManStop( pTemp );
+ if ( fVerbose ) Aig_ManPrintStats( pAig );
+
+ // balance
+ if ( fBalance )
+ {
+ pAig = Dar_ManBalance( pTemp = pAig, fUpdateLevel );
+ Aig_ManStop( pTemp );
+ if ( fVerbose ) Aig_ManPrintStats( pAig );
+ }
+ return pAig;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Reproduces script "compress2".]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Vec_Ptr_t * Dar_ManChoiceSynthesis( Aig_Man_t * pAig, int fBalance, int fUpdateLevel, int fVerbose )
+//alias resyn "b; rw; rwz; b; rwz; b"
+//alias resyn2 "b; rw; rf; b; rw; rwz; b; rfz; rwz; b"
+{
+ Vec_Ptr_t * vAigs;
+ vAigs = Vec_PtrAlloc( 3 );
+ pAig = Aig_ManDup(pAig, 0);
+ Vec_PtrPush( vAigs, pAig );
+ pAig = Dar_ManCompress (pAig, 0, fUpdateLevel, fVerbose);
+ Vec_PtrPush( vAigs, pAig );
+ pAig = Dar_ManCompress2(pAig, fBalance, fUpdateLevel, fVerbose);
+ Vec_PtrPush( vAigs, pAig );
+ return vAigs;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Gives the current ABC network to AIG manager for processing.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+/*
+Vec_Ptr_t * Dar_ManChoiceSynthesisExt()
+{
+ Vec_Ptr_t * vAigs;
+ Aig_Man_t * pMan;
+ vAigs = Vec_PtrAlloc( 3 );
+ pMan = Ioa_ReadAiger( "i10_1.aig", 1 );
+ Vec_PtrPush( vAigs, pMan );
+ pMan = Ioa_ReadAiger( "i10_2.aig", 1 );
+ Vec_PtrPush( vAigs, pMan );
+ pMan = Ioa_ReadAiger( "i10_3.aig", 1 );
+ Vec_PtrPush( vAigs, pMan );
+ return vAigs;
+}
+*/
+
+/**Function*************************************************************
+
+ Synopsis [Reproduces script "compress2".]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Man_t * Dar_ManChoice( Aig_Man_t * pAig, int fBalance, int fUpdateLevel, int fVerbose )
+{
+ Aig_Man_t * pMan, * pTemp;
+ Vec_Ptr_t * vAigs;
+ int i, clk;
+
+clk = clock();
+// vAigs = Dar_ManChoiceSynthesisExt();
+ vAigs = Dar_ManChoiceSynthesis( pAig, fBalance, fUpdateLevel, fVerbose );
+
+ // swap the first and last network
+ // this should lead to the primary choice being "better" because of synthesis
+ pMan = Vec_PtrPop( vAigs );
+ Vec_PtrPush( vAigs, Vec_PtrEntry(vAigs,0) );
+ Vec_PtrWriteEntry( vAigs, 0, pMan );
+
+if ( fVerbose )
+{
+PRT( "Synthesis time", clock() - clk );
+}
+clk = clock();
+ pMan = Aig_ManChoicePartitioned( vAigs, 300, fVerbose );
+ Vec_PtrForEachEntry( vAigs, pTemp, i )
+ Aig_ManStop( pTemp );
+ Vec_PtrFree( vAigs );
+if ( fVerbose )
+{
+PRT( "Choicing time ", clock() - clk );
+}
+ return pMan;
+// return NULL;
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/dar/dar_.c b/src/aig/dar/dar_.c
new file mode 100644
index 00000000..12fd7d17
--- /dev/null
+++ b/src/aig/dar/dar_.c
@@ -0,0 +1,48 @@
+/**CFile****************************************************************
+
+ FileName [dar_.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [DAG-aware AIG rewriting.]
+
+ Synopsis []
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - April 28, 2007.]
+
+ Revision [$Id: dar_.c,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "darInt.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/dar/module.make b/src/aig/dar/module.make
new file mode 100644
index 00000000..b1b0332c
--- /dev/null
+++ b/src/aig/dar/module.make
@@ -0,0 +1,10 @@
+SRC += src/aig/dar/darBalance.c \
+ src/aig/dar/darCore.c \
+ src/aig/dar/darCut.c \
+ src/aig/dar/darData.c \
+ src/aig/dar/darLib.c \
+ src/aig/dar/darMan.c \
+ src/aig/dar/darPrec.c \
+ src/aig/dar/darRefact.c \
+ src/aig/dar/darResub.c \
+ src/aig/dar/darScript.c
diff --git a/src/aig/deco/deco.h b/src/aig/deco/deco.h
new file mode 100644
index 00000000..67126902
--- /dev/null
+++ b/src/aig/deco/deco.h
@@ -0,0 +1,703 @@
+/**CFile****************************************************************
+
+ FileName [deco.h]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [A simple decomposition tree/node data structure and its APIs.]
+
+ Synopsis [External declarations.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - June 20, 2005.]
+
+ Revision [$Id: deco.h,v 1.00 2005/06/20 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#ifndef __DEC_H__
+#define __DEC_H__
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+////////////////////////////////////////////////////////////////////////
+/// INCLUDES ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// PARAMETERS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// BASIC TYPES ///
+////////////////////////////////////////////////////////////////////////
+
+typedef struct Dec_Edge_t_ Dec_Edge_t;
+struct Dec_Edge_t_
+{
+ unsigned fCompl : 1; // the complemented bit
+ unsigned Node : 30; // the decomposition node pointed by the edge
+};
+
+typedef struct Dec_Node_t_ Dec_Node_t;
+struct Dec_Node_t_
+{
+ Dec_Edge_t eEdge0; // the left child of the node
+ Dec_Edge_t eEdge1; // the right child of the node
+ // other info
+ void * pFunc; // the function of the node (BDD or AIG)
+ unsigned Level : 14; // the level of this node in the global AIG
+ // printing info
+ unsigned fNodeOr : 1; // marks the original OR node
+ unsigned fCompl0 : 1; // marks the original complemented edge
+ unsigned fCompl1 : 1; // marks the original complemented edge
+ // latch info
+ unsigned nLat0 : 5; // the number of latches on the first edge
+ unsigned nLat1 : 5; // the number of latches on the second edge
+ unsigned nLat2 : 5; // the number of latches on the output edge
+};
+
+typedef struct Dec_Graph_t_ Dec_Graph_t;
+struct Dec_Graph_t_
+{
+ int fConst; // marks the constant 1 graph
+ int nLeaves; // the number of leaves
+ int nSize; // the number of nodes (including the leaves)
+ int nCap; // the number of allocated nodes
+ Dec_Node_t * pNodes; // the array of leaves and internal nodes
+ Dec_Edge_t eRoot; // the pointer to the topmost node
+};
+
+typedef struct Dec_Man_t_ Dec_Man_t;
+struct Dec_Man_t_
+{
+ void * pMvcMem; // memory manager for MVC cover (used for factoring)
+ Vec_Int_t * vCubes; // storage for cubes
+ Vec_Int_t * vLits; // storage for literals
+ // precomputation information about 4-variable functions
+ unsigned short * puCanons; // canonical forms
+ char * pPhases; // canonical phases
+ char * pPerms; // canonical permutations
+ unsigned char * pMap; // mapping of functions into class numbers
+};
+
+
+////////////////////////////////////////////////////////////////////////
+/// ITERATORS ///
+////////////////////////////////////////////////////////////////////////
+
+// interator throught the leaves
+#define Dec_GraphForEachLeaf( pGraph, pLeaf, i ) \
+ for ( i = 0; (i < (pGraph)->nLeaves) && (((pLeaf) = Dec_GraphNode(pGraph, i)), 1); i++ )
+// interator throught the internal nodes
+#define Dec_GraphForEachNode( pGraph, pAnd, i ) \
+ for ( i = (pGraph)->nLeaves; (i < (pGraph)->nSize) && (((pAnd) = Dec_GraphNode(pGraph, i)), 1); i++ )
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Creates an edge pointing to the node in the given polarity.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline Dec_Edge_t Dec_EdgeCreate( int Node, int fCompl )
+{
+ Dec_Edge_t eEdge = { fCompl, Node };
+ return eEdge;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Converts the edge into unsigned integer.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline unsigned Dec_EdgeToInt( Dec_Edge_t eEdge )
+{
+ return (eEdge.Node << 1) | eEdge.fCompl;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Converts unsigned integer into the edge.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline Dec_Edge_t Dec_IntToEdge( unsigned Edge )
+{
+ return Dec_EdgeCreate( Edge >> 1, Edge & 1 );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Converts the edge into unsigned integer.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline unsigned Dec_EdgeToInt_( Dec_Edge_t eEdge )
+{
+ return *(unsigned *)&eEdge;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Converts unsigned integer into the edge.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline Dec_Edge_t Dec_IntToEdge_( unsigned Edge )
+{
+ return *(Dec_Edge_t *)&Edge;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates a graph with the given number of leaves.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline Dec_Graph_t * Dec_GraphCreate( int nLeaves )
+{
+ Dec_Graph_t * pGraph;
+ pGraph = ALLOC( Dec_Graph_t, 1 );
+ memset( pGraph, 0, sizeof(Dec_Graph_t) );
+ pGraph->nLeaves = nLeaves;
+ pGraph->nSize = nLeaves;
+ pGraph->nCap = 2 * nLeaves + 50;
+ pGraph->pNodes = ALLOC( Dec_Node_t, pGraph->nCap );
+ memset( pGraph->pNodes, 0, sizeof(Dec_Node_t) * pGraph->nSize );
+ return pGraph;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates constant 0 graph.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline Dec_Graph_t * Dec_GraphCreateConst0()
+{
+ Dec_Graph_t * pGraph;
+ pGraph = ALLOC( Dec_Graph_t, 1 );
+ memset( pGraph, 0, sizeof(Dec_Graph_t) );
+ pGraph->fConst = 1;
+ pGraph->eRoot.fCompl = 1;
+ return pGraph;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates constant 1 graph.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline Dec_Graph_t * Dec_GraphCreateConst1()
+{
+ Dec_Graph_t * pGraph;
+ pGraph = ALLOC( Dec_Graph_t, 1 );
+ memset( pGraph, 0, sizeof(Dec_Graph_t) );
+ pGraph->fConst = 1;
+ return pGraph;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates the literal graph.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline Dec_Graph_t * Dec_GraphCreateLeaf( int iLeaf, int nLeaves, int fCompl )
+{
+ Dec_Graph_t * pGraph;
+ assert( 0 <= iLeaf && iLeaf < nLeaves );
+ pGraph = Dec_GraphCreate( nLeaves );
+ pGraph->eRoot.Node = iLeaf;
+ pGraph->eRoot.fCompl = fCompl;
+ return pGraph;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates a graph with the given number of leaves.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline void Dec_GraphFree( Dec_Graph_t * pGraph )
+{
+ FREE( pGraph->pNodes );
+ free( pGraph );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns 1 if the graph is a constant.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int Dec_GraphIsConst( Dec_Graph_t * pGraph )
+{
+ return pGraph->fConst;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns 1 if the graph is constant 0.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int Dec_GraphIsConst0( Dec_Graph_t * pGraph )
+{
+ return pGraph->fConst && pGraph->eRoot.fCompl;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns 1 if the graph is constant 1.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int Dec_GraphIsConst1( Dec_Graph_t * pGraph )
+{
+ return pGraph->fConst && !pGraph->eRoot.fCompl;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns 1 if the graph is complemented.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int Dec_GraphIsComplement( Dec_Graph_t * pGraph )
+{
+ return pGraph->eRoot.fCompl;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Checks if the graph is complemented.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline void Dec_GraphComplement( Dec_Graph_t * pGraph )
+{
+ pGraph->eRoot.fCompl ^= 1;
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Returns the number of leaves.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int Dec_GraphLeaveNum( Dec_Graph_t * pGraph )
+{
+ return pGraph->nLeaves;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns the number of internal nodes.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int Dec_GraphNodeNum( Dec_Graph_t * pGraph )
+{
+ return pGraph->nSize - pGraph->nLeaves;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns the pointer to the node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline Dec_Node_t * Dec_GraphNode( Dec_Graph_t * pGraph, int i )
+{
+ return pGraph->pNodes + i;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns the pointer to the node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline Dec_Node_t * Dec_GraphNodeLast( Dec_Graph_t * pGraph )
+{
+ return pGraph->pNodes + pGraph->nSize - 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns the number of the given node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int Dec_GraphNodeInt( Dec_Graph_t * pGraph, Dec_Node_t * pNode )
+{
+ return pNode - pGraph->pNodes;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Check if the graph represents elementary variable.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int Dec_GraphIsVar( Dec_Graph_t * pGraph )
+{
+ return pGraph->eRoot.Node < (unsigned)pGraph->nLeaves;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Check if the graph represents elementary variable.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int Dec_GraphNodeIsVar( Dec_Graph_t * pGraph, Dec_Node_t * pNode )
+{
+ return Dec_GraphNodeInt(pGraph,pNode) < pGraph->nLeaves;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns the elementary variable elementary variable.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline Dec_Node_t * Dec_GraphVar( Dec_Graph_t * pGraph )
+{
+ assert( Dec_GraphIsVar( pGraph ) );
+ return Dec_GraphNode( pGraph, pGraph->eRoot.Node );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns the number of the elementary variable.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int Dec_GraphVarInt( Dec_Graph_t * pGraph )
+{
+ assert( Dec_GraphIsVar( pGraph ) );
+ return Dec_GraphNodeInt( pGraph, Dec_GraphVar(pGraph) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Sets the root of the graph.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline void Dec_GraphSetRoot( Dec_Graph_t * pGraph, Dec_Edge_t eRoot )
+{
+ pGraph->eRoot = eRoot;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Appends a new node to the graph.]
+
+ Description [This procedure is meant for internal use.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline Dec_Node_t * Dec_GraphAppendNode( Dec_Graph_t * pGraph )
+{
+ Dec_Node_t * pNode;
+ if ( pGraph->nSize == pGraph->nCap )
+ {
+ pGraph->pNodes = REALLOC( Dec_Node_t, pGraph->pNodes, 2 * pGraph->nCap );
+ pGraph->nCap = 2 * pGraph->nCap;
+ }
+ pNode = pGraph->pNodes + pGraph->nSize++;
+ memset( pNode, 0, sizeof(Dec_Node_t) );
+ return pNode;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates an AND node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline Dec_Edge_t Dec_GraphAddNodeAnd( Dec_Graph_t * pGraph, Dec_Edge_t eEdge0, Dec_Edge_t eEdge1 )
+{
+ Dec_Node_t * pNode;
+ // get the new node
+ pNode = Dec_GraphAppendNode( pGraph );
+ // set the inputs and other info
+ pNode->eEdge0 = eEdge0;
+ pNode->eEdge1 = eEdge1;
+ pNode->fCompl0 = eEdge0.fCompl;
+ pNode->fCompl1 = eEdge1.fCompl;
+ return Dec_EdgeCreate( pGraph->nSize - 1, 0 );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates an OR node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline Dec_Edge_t Dec_GraphAddNodeOr( Dec_Graph_t * pGraph, Dec_Edge_t eEdge0, Dec_Edge_t eEdge1 )
+{
+ Dec_Node_t * pNode;
+ // get the new node
+ pNode = Dec_GraphAppendNode( pGraph );
+ // set the inputs and other info
+ pNode->eEdge0 = eEdge0;
+ pNode->eEdge1 = eEdge1;
+ pNode->fCompl0 = eEdge0.fCompl;
+ pNode->fCompl1 = eEdge1.fCompl;
+ // make adjustments for the OR gate
+ pNode->fNodeOr = 1;
+ pNode->eEdge0.fCompl = !pNode->eEdge0.fCompl;
+ pNode->eEdge1.fCompl = !pNode->eEdge1.fCompl;
+ return Dec_EdgeCreate( pGraph->nSize - 1, 1 );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates an XOR node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline Dec_Edge_t Dec_GraphAddNodeXor( Dec_Graph_t * pGraph, Dec_Edge_t eEdge0, Dec_Edge_t eEdge1, int Type )
+{
+ Dec_Edge_t eNode0, eNode1, eNode;
+ if ( Type == 0 )
+ {
+ // derive the first AND
+ eEdge0.fCompl ^= 1;
+ eNode0 = Dec_GraphAddNodeAnd( pGraph, eEdge0, eEdge1 );
+ eEdge0.fCompl ^= 1;
+ // derive the second AND
+ eEdge1.fCompl ^= 1;
+ eNode1 = Dec_GraphAddNodeAnd( pGraph, eEdge0, eEdge1 );
+ // derive the final OR
+ eNode = Dec_GraphAddNodeOr( pGraph, eNode0, eNode1 );
+ }
+ else
+ {
+ // derive the first AND
+ eNode0 = Dec_GraphAddNodeAnd( pGraph, eEdge0, eEdge1 );
+ // derive the second AND
+ eEdge0.fCompl ^= 1;
+ eEdge1.fCompl ^= 1;
+ eNode1 = Dec_GraphAddNodeAnd( pGraph, eEdge0, eEdge1 );
+ // derive the final OR
+ eNode = Dec_GraphAddNodeOr( pGraph, eNode0, eNode1 );
+ eNode.fCompl ^= 1;
+ }
+ return eNode;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates an XOR node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline Dec_Edge_t Dec_GraphAddNodeMux( Dec_Graph_t * pGraph, Dec_Edge_t eEdgeC, Dec_Edge_t eEdgeT, Dec_Edge_t eEdgeE, int Type )
+{
+ Dec_Edge_t eNode0, eNode1, eNode;
+ if ( Type == 0 )
+ {
+ // derive the first AND
+ eNode0 = Dec_GraphAddNodeAnd( pGraph, eEdgeC, eEdgeT );
+ // derive the second AND
+ eEdgeC.fCompl ^= 1;
+ eNode1 = Dec_GraphAddNodeAnd( pGraph, eEdgeC, eEdgeE );
+ // derive the final OR
+ eNode = Dec_GraphAddNodeOr( pGraph, eNode0, eNode1 );
+ }
+ else
+ {
+ // complement the arguments
+ eEdgeT.fCompl ^= 1;
+ eEdgeE.fCompl ^= 1;
+ // derive the first AND
+ eNode0 = Dec_GraphAddNodeAnd( pGraph, eEdgeC, eEdgeT );
+ // derive the second AND
+ eEdgeC.fCompl ^= 1;
+ eNode1 = Dec_GraphAddNodeAnd( pGraph, eEdgeC, eEdgeE );
+ // derive the final OR
+ eNode = Dec_GraphAddNodeOr( pGraph, eNode0, eNode1 );
+ eNode.fCompl ^= 1;
+ }
+ return eNode;
+}
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
diff --git a/src/aig/deco/module.make b/src/aig/deco/module.make
new file mode 100644
index 00000000..d6d908e7
--- /dev/null
+++ b/src/aig/deco/module.make
@@ -0,0 +1 @@
+SRC +=
diff --git a/src/aig/fra/fra.h b/src/aig/fra/fra.h
new file mode 100644
index 00000000..0de803ed
--- /dev/null
+++ b/src/aig/fra/fra.h
@@ -0,0 +1,305 @@
+/**CFile****************************************************************
+
+ FileName [fra.h]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [[New FRAIG package.]
+
+ Synopsis [External declarations.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - June 30, 2007.]
+
+ Revision [$Id: fra.h,v 1.00 2007/06/30 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#ifndef __FRA_H__
+#define __FRA_H__
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+////////////////////////////////////////////////////////////////////////
+/// INCLUDES ///
+////////////////////////////////////////////////////////////////////////
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <assert.h>
+#include <time.h>
+
+#include "vec.h"
+#include "aig.h"
+#include "dar.h"
+#include "satSolver.h"
+//#include "bar.h"
+
+////////////////////////////////////////////////////////////////////////
+/// PARAMETERS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// BASIC TYPES ///
+////////////////////////////////////////////////////////////////////////
+
+typedef struct Fra_Par_t_ Fra_Par_t;
+typedef struct Fra_Man_t_ Fra_Man_t;
+typedef struct Fra_Cla_t_ Fra_Cla_t;
+typedef struct Fra_Sml_t_ Fra_Sml_t;
+typedef struct Fra_Bmc_t_ Fra_Bmc_t;
+
+// FRAIG parameters
+struct Fra_Par_t_
+{
+ int nSimWords; // the number of words in the simulation info
+ double dSimSatur; // the ratio of refined classes when saturation is reached
+ int fPatScores; // enables simulation pattern scoring
+ int MaxScore; // max score after which resimulation is used
+ double dActConeRatio; // the ratio of cone to be bumped
+ double dActConeBumpMax; // the largest bump in activity
+ int fChoicing; // enables choicing
+ int fSpeculate; // use speculative reduction
+ int fProve; // prove the miter outputs
+ int fVerbose; // verbose output
+ int fDoSparse; // skip sparse functions
+ int fConeBias; // bias variables in the cone (good for unsat runs)
+ int nBTLimitNode; // conflict limit at a node
+ int nBTLimitMiter; // conflict limit at an output
+ int nFramesP; // the number of timeframes to in the prefix
+ int nFramesK; // the number of timeframes to unroll
+ int nMaxImps; // the maximum number of implications to consider
+ int fRewrite; // use rewriting for constraint reduction
+ int fLatchCorr; // computes latch correspondence only
+ int fUseImps; // use implications
+ int fWriteImps; // record implications
+ int fDontShowBar; // does not show progressbar during fraiging
+};
+
+// FRAIG equivalence classes
+struct Fra_Cla_t_
+{
+ Aig_Man_t * pAig; // the original AIG manager
+ Aig_Obj_t ** pMemRepr; // pointers to representatives of each node
+ Vec_Ptr_t * vClasses; // equivalence classes
+ Vec_Ptr_t * vClasses1; // equivalence class of Const1 node
+ Vec_Ptr_t * vClassesTemp; // temporary storage for new classes
+ Aig_Obj_t ** pMemClasses; // memory allocated for equivalence classes
+ Aig_Obj_t ** pMemClassesFree; // memory allocated for equivalence classes to be used
+ Vec_Ptr_t * vClassOld; // old equivalence class after splitting
+ Vec_Ptr_t * vClassNew; // new equivalence class(es) after splitting
+ int nPairs; // the number of pairs of nodes
+ int fRefinement; // set to 1 when refinement has happened
+ Vec_Int_t * vImps; // implications
+ // procedures used for class refinement
+ int (*pFuncNodeHash) (Aig_Obj_t *, int); // returns has key of the node
+ int (*pFuncNodeIsConst) (Aig_Obj_t *); // returns 1 if the node is a constant
+ int (*pFuncNodesAreEqual)(Aig_Obj_t *, Aig_Obj_t *); // returns 1 if nodes are equal up to a complement
+};
+
+// simulation manager
+struct Fra_Sml_t_
+{
+ Aig_Man_t * pAig; // the original AIG manager
+ int nPref; // the number of times frames in the prefix
+ int nFrames; // the number of times frames
+ int nWordsFrame; // the number of words in each time frame
+ int nWordsTotal; // the total number of words at a node
+ int nWordsPref; // the number of word in the prefix
+ int fNonConstOut; // have seen a non-const-0 output during simulation
+ int nSimRounds; // statistics
+ int timeSim; // statistics
+ unsigned pData[0]; // simulation data for the nodes
+};
+
+// FRAIG manager
+struct Fra_Man_t_
+{
+ // high-level data
+ Fra_Par_t * pPars; // parameters governing fraiging
+ // AIG managers
+ Aig_Man_t * pManAig; // the starting AIG manager
+ Aig_Man_t * pManFraig; // the final AIG manager
+ // mapping AIG into FRAIG
+ int nFramesAll; // the number of timeframes used
+ Aig_Obj_t ** pMemFraig; // memory allocated for points to the fraig nodes
+ int nSizeAlloc; // allocated size of the arrays for timeframe nodes
+ // equivalence classes
+ Fra_Cla_t * pCla; // representation of (candidate) equivalent nodes
+ // simulation info
+ Fra_Sml_t * pSml; // simulation manager
+ // bounded model checking manager
+ Fra_Bmc_t * pBmc;
+ // counter example storage
+ int nPatWords; // the number of words in the counter example
+ unsigned * pPatWords; // the counter example
+ Vec_Int_t * vCex;
+ // satisfiability solving
+ sat_solver * pSat; // SAT solver
+ int nSatVars; // the number of variables currently used
+ Vec_Ptr_t * vPiVars; // the PIs of the cone used
+ sint64 nBTLimitGlobal; // resource limit
+ sint64 nInsLimitGlobal; // resource limit
+ Vec_Ptr_t ** pMemFanins; // the arrays of fanins for some FRAIG nodes
+ int * pMemSatNums; // the array of SAT numbers for some FRAIG nodes
+ int nMemAlloc; // allocated size of the arrays for FRAIG varnums and fanins
+ Vec_Ptr_t * vTimeouts; // the nodes, for which equivalence checking timed out
+ // statistics
+ int nSimRounds;
+ int nNodesMiter;
+ int nLitsBeg;
+ int nLitsEnd;
+ int nNodesBeg;
+ int nNodesEnd;
+ int nRegsBeg;
+ int nRegsEnd;
+ int nSatCalls;
+ int nSatCallsSat;
+ int nSatCallsUnsat;
+ int nSatProof;
+ int nSatFails;
+ int nSatFailsReal;
+ int nSpeculs;
+ int nChoices;
+ int nChoicesFake;
+ int nSatCallsRecent;
+ int nSatCallsSkipped;
+ // runtime
+ int timeSim;
+ int timeTrav;
+ int timeRwr;
+ int timeSat;
+ int timeSatUnsat;
+ int timeSatSat;
+ int timeSatFail;
+ int timeRef;
+ int timeTotal;
+ int time1;
+ int time2;
+};
+
+////////////////////////////////////////////////////////////////////////
+/// MACRO DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+static inline unsigned * Fra_ObjSim( Fra_Sml_t * p, int Id ) { return p->pData + p->nWordsTotal * Id; }
+static inline unsigned Fra_ObjRandomSim() { return (rand() << 24) ^ (rand() << 12) ^ rand(); }
+
+static inline Aig_Obj_t * Fra_ObjFraig( Aig_Obj_t * pObj, int i ) { return ((Fra_Man_t *)pObj->pData)->pMemFraig[((Fra_Man_t *)pObj->pData)->nFramesAll*pObj->Id + i]; }
+static inline void Fra_ObjSetFraig( Aig_Obj_t * pObj, int i, Aig_Obj_t * pNode ) { ((Fra_Man_t *)pObj->pData)->pMemFraig[((Fra_Man_t *)pObj->pData)->nFramesAll*pObj->Id + i] = pNode; }
+
+static inline Vec_Ptr_t * Fra_ObjFaninVec( Aig_Obj_t * pObj ) { return ((Fra_Man_t *)pObj->pData)->pMemFanins[pObj->Id]; }
+static inline void Fra_ObjSetFaninVec( Aig_Obj_t * pObj, Vec_Ptr_t * vFanins ) { ((Fra_Man_t *)pObj->pData)->pMemFanins[pObj->Id] = vFanins; }
+
+static inline int Fra_ObjSatNum( Aig_Obj_t * pObj ) { return ((Fra_Man_t *)pObj->pData)->pMemSatNums[pObj->Id]; }
+static inline void Fra_ObjSetSatNum( Aig_Obj_t * pObj, int Num ) { ((Fra_Man_t *)pObj->pData)->pMemSatNums[pObj->Id] = Num; }
+
+static inline Aig_Obj_t * Fra_ClassObjRepr( Aig_Obj_t * pObj ) { return ((Fra_Man_t *)pObj->pData)->pCla->pMemRepr[pObj->Id]; }
+static inline void Fra_ClassObjSetRepr( Aig_Obj_t * pObj, Aig_Obj_t * pNode ) { ((Fra_Man_t *)pObj->pData)->pCla->pMemRepr[pObj->Id] = pNode; }
+
+static inline Aig_Obj_t * Fra_ObjChild0Fra( Aig_Obj_t * pObj, int i ) { assert( !Aig_IsComplement(pObj) ); return Aig_ObjFanin0(pObj)? Aig_NotCond(Fra_ObjFraig(Aig_ObjFanin0(pObj),i), Aig_ObjFaninC0(pObj)) : NULL; }
+static inline Aig_Obj_t * Fra_ObjChild1Fra( Aig_Obj_t * pObj, int i ) { assert( !Aig_IsComplement(pObj) ); return Aig_ObjFanin1(pObj)? Aig_NotCond(Fra_ObjFraig(Aig_ObjFanin1(pObj),i), Aig_ObjFaninC1(pObj)) : NULL; }
+
+static inline int Fra_ImpLeft( int Imp ) { return Imp & 0xFFFF; }
+static inline int Fra_ImpRight( int Imp ) { return Imp >> 16; }
+static inline int Fra_ImpCreate( int Left, int Right ) { return (Right << 16) | Left; }
+
+////////////////////////////////////////////////////////////////////////
+/// ITERATORS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/*=== fraCec.c ========================================================*/
+extern int Fra_FraigSat( Aig_Man_t * pMan, sint64 nConfLimit, sint64 nInsLimit, int fVerbose );
+extern int Fra_FraigCec( Aig_Man_t ** ppAig, int fVerbose );
+extern int Fra_FraigCecPartitioned( Aig_Man_t * pMan1, Aig_Man_t * pMan2, int fVerbose );
+/*=== fraClass.c ========================================================*/
+extern int Fra_BmcNodeIsConst( Aig_Obj_t * pObj );
+extern int Fra_BmcNodesAreEqual( Aig_Obj_t * pObj0, Aig_Obj_t * pObj1 );
+extern void Fra_BmcStop( Fra_Bmc_t * p );
+extern void Fra_BmcPerform( Fra_Man_t * p, int nPref, int nDepth );
+/*=== fraClass.c ========================================================*/
+extern Fra_Cla_t * Fra_ClassesStart( Aig_Man_t * pAig );
+extern void Fra_ClassesStop( Fra_Cla_t * p );
+extern void Fra_ClassesCopyReprs( Fra_Cla_t * p, Vec_Ptr_t * vFailed );
+extern void Fra_ClassesPrint( Fra_Cla_t * p, int fVeryVerbose );
+extern void Fra_ClassesPrepare( Fra_Cla_t * p, int fLatchCorr );
+extern int Fra_ClassesRefine( Fra_Cla_t * p );
+extern int Fra_ClassesRefine1( Fra_Cla_t * p, int fRefineNewClass, int * pSkipped );
+extern int Fra_ClassesCountLits( Fra_Cla_t * p );
+extern int Fra_ClassesCountPairs( Fra_Cla_t * p );
+extern void Fra_ClassesTest( Fra_Cla_t * p, int Id1, int Id2 );
+extern void Fra_ClassesLatchCorr( Fra_Man_t * p );
+extern void Fra_ClassesPostprocess( Fra_Cla_t * p );
+extern void Fra_ClassesSelectRepr( Fra_Cla_t * p );
+extern Aig_Man_t * Fra_ClassesDeriveAig( Fra_Cla_t * p, int nFramesK );
+/*=== fraCnf.c ========================================================*/
+extern void Fra_CnfNodeAddToSolver( Fra_Man_t * p, Aig_Obj_t * pOld, Aig_Obj_t * pNew );
+/*=== fraCore.c ========================================================*/
+extern void Fra_FraigSweep( Fra_Man_t * pManAig );
+extern int Fra_FraigMiterStatus( Aig_Man_t * p );
+extern Aig_Man_t * Fra_FraigPerform( Aig_Man_t * pManAig, Fra_Par_t * pPars );
+extern Aig_Man_t * Fra_FraigChoice( Aig_Man_t * pManAig, int nConfMax );
+extern Aig_Man_t * Fra_FraigEquivence( Aig_Man_t * pManAig, int nConfMax );
+/*=== fraImp.c ========================================================*/
+extern Vec_Int_t * Fra_ImpDerive( Fra_Man_t * p, int nImpMaxLimit, int nImpUseLimit, int fLatchCorr );
+extern void Fra_ImpAddToSolver( Fra_Man_t * p, Vec_Int_t * vImps, int * pSatVarNums );
+extern int Fra_ImpCheckForNode( Fra_Man_t * p, Vec_Int_t * vImps, Aig_Obj_t * pNode, int Pos );
+extern int Fra_ImpRefineUsingCex( Fra_Man_t * p, Vec_Int_t * vImps );
+extern void Fra_ImpCompactArray( Vec_Int_t * vImps );
+extern double Fra_ImpComputeStateSpaceRatio( Fra_Man_t * p );
+extern int Fra_ImpVerifyUsingSimulation( Fra_Man_t * p );
+extern void Fra_ImpRecordInManager( Fra_Man_t * p, Aig_Man_t * pNew );
+/*=== fraInd.c ========================================================*/
+extern Aig_Man_t * Fra_FraigInduction( Aig_Man_t * p, int nFramesP, int nFramesK, int nMaxImps, int fRewrite, int fUseImps, int fLatchCorr, int fWriteImps, int fVerbose, int * pnIter );
+/*=== fraLcr.c ========================================================*/
+extern Aig_Man_t * Fra_FraigLatchCorrespondence( Aig_Man_t * pAig, int nFramesP, int nConfMax, int fProve, int fVerbose, int * pnIter );
+/*=== fraMan.c ========================================================*/
+extern void Fra_ParamsDefault( Fra_Par_t * pParams );
+extern void Fra_ParamsDefaultSeq( Fra_Par_t * pParams );
+extern Fra_Man_t * Fra_ManStart( Aig_Man_t * pManAig, Fra_Par_t * pParams );
+extern void Fra_ManClean( Fra_Man_t * p, int nNodesMax );
+extern Aig_Man_t * Fra_ManPrepareComb( Fra_Man_t * p );
+extern void Fra_ManFinalizeComb( Fra_Man_t * p );
+extern void Fra_ManStop( Fra_Man_t * p );
+extern void Fra_ManPrint( Fra_Man_t * p );
+/*=== fraSat.c ========================================================*/
+extern int Fra_NodesAreEquiv( Fra_Man_t * p, Aig_Obj_t * pOld, Aig_Obj_t * pNew );
+extern int Fra_NodesAreImp( Fra_Man_t * p, Aig_Obj_t * pOld, Aig_Obj_t * pNew, int fComplL, int fComplR );
+extern int Fra_NodeIsConst( Fra_Man_t * p, Aig_Obj_t * pNew );
+/*=== fraSec.c ========================================================*/
+extern int Fra_FraigSec( Aig_Man_t * p, int nFrames, int fRetimeFirst, int fVerbose, int fVeryVerbose );
+/*=== fraSim.c ========================================================*/
+extern int Fra_SmlNodeHash( Aig_Obj_t * pObj, int nTableSize );
+extern int Fra_SmlNodeIsConst( Aig_Obj_t * pObj );
+extern int Fra_SmlNodesAreEqual( Aig_Obj_t * pObj0, Aig_Obj_t * pObj1 );
+extern int Fra_SmlNodeNotEquWeight( Fra_Sml_t * p, int Left, int Right );
+extern int Fra_SmlCheckOutput( Fra_Man_t * p );
+extern void Fra_SmlSavePattern( Fra_Man_t * p );
+extern void Fra_SmlSimulate( Fra_Man_t * p, int fInit );
+extern void Fra_SmlResimulate( Fra_Man_t * p );
+extern Fra_Sml_t * Fra_SmlStart( Aig_Man_t * pAig, int nPref, int nFrames, int nWordsFrame );
+extern void Fra_SmlStop( Fra_Sml_t * p );
+extern Fra_Sml_t * Fra_SmlSimulateSeq( Aig_Man_t * pAig, int nPref, int nFrames, int nWords );
+extern Fra_Sml_t * Fra_SmlSimulateComb( Aig_Man_t * pAig, int nWords );
+
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
diff --git a/src/aig/fra/fraBmc.c b/src/aig/fra/fraBmc.c
new file mode 100644
index 00000000..eebafaf6
--- /dev/null
+++ b/src/aig/fra/fraBmc.c
@@ -0,0 +1,362 @@
+/**CFile****************************************************************
+
+ FileName [fraBmc.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [New FRAIG package.]
+
+ Synopsis [Bounded model checking.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - June 30, 2007.]
+
+ Revision [$Id: fraBmc.c,v 1.00 2007/06/30 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "fra.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+// simulation manager
+struct Fra_Bmc_t_
+{
+ // parameters
+ int nPref; // the size of the prefix
+ int nDepth; // the depth of the frames
+ int nFramesAll; // the total number of timeframes
+ // implications to be filtered
+ Vec_Int_t * vImps;
+ // AIG managers
+ Aig_Man_t * pAig; // the original AIG manager
+ Aig_Man_t * pAigFrames; // initialized timeframes
+ Aig_Man_t * pAigFraig; // the fraiged initialized timeframes
+ // mapping of nodes
+ Aig_Obj_t ** pObjToFrames; // mapping of the original node into frames
+ Aig_Obj_t ** pObjToFraig; // mapping of the frames node into fraig
+};
+
+static inline Aig_Obj_t * Bmc_ObjFrames( Aig_Obj_t * pObj, int i ) { return ((Fra_Man_t *)pObj->pData)->pBmc->pObjToFrames[((Fra_Man_t *)pObj->pData)->pBmc->nFramesAll*pObj->Id + i]; }
+static inline void Bmc_ObjSetFrames( Aig_Obj_t * pObj, int i, Aig_Obj_t * pNode ) { ((Fra_Man_t *)pObj->pData)->pBmc->pObjToFrames[((Fra_Man_t *)pObj->pData)->pBmc->nFramesAll*pObj->Id + i] = pNode; }
+
+static inline Aig_Obj_t * Bmc_ObjFraig( Aig_Obj_t * pObj ) { return ((Fra_Man_t *)pObj->pData)->pBmc->pObjToFraig[pObj->Id]; }
+static inline void Bmc_ObjSetFraig( Aig_Obj_t * pObj, Aig_Obj_t * pNode ) { ((Fra_Man_t *)pObj->pData)->pBmc->pObjToFraig[pObj->Id] = pNode; }
+
+static inline Aig_Obj_t * Bmc_ObjChild0Frames( Aig_Obj_t * pObj, int i ) { assert( !Aig_IsComplement(pObj) ); return Aig_ObjFanin0(pObj)? Aig_NotCond(Bmc_ObjFrames(Aig_ObjFanin0(pObj),i), Aig_ObjFaninC0(pObj)) : NULL; }
+static inline Aig_Obj_t * Bmc_ObjChild1Frames( Aig_Obj_t * pObj, int i ) { assert( !Aig_IsComplement(pObj) ); return Aig_ObjFanin1(pObj)? Aig_NotCond(Bmc_ObjFrames(Aig_ObjFanin1(pObj),i), Aig_ObjFaninC1(pObj)) : NULL; }
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Returns 1 if the nodes are equivalent.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fra_BmcNodesAreEqual( Aig_Obj_t * pObj0, Aig_Obj_t * pObj1 )
+{
+ Fra_Man_t * p = pObj0->pData;
+ Aig_Obj_t * pObjFrames0, * pObjFrames1;
+ Aig_Obj_t * pObjFraig0, * pObjFraig1;
+ int i;
+ for ( i = p->pBmc->nPref; i < p->pBmc->nFramesAll; i++ )
+ {
+ pObjFrames0 = Aig_Regular( Bmc_ObjFrames(pObj0, i) );
+ pObjFrames1 = Aig_Regular( Bmc_ObjFrames(pObj1, i) );
+ if ( pObjFrames0 == pObjFrames1 )
+ continue;
+ pObjFraig0 = Aig_Regular( Bmc_ObjFraig(pObjFrames0) );
+ pObjFraig1 = Aig_Regular( Bmc_ObjFraig(pObjFrames1) );
+ if ( pObjFraig0 != pObjFraig1 )
+ return 0;
+ }
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns 1 if the node is costant.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fra_BmcNodeIsConst( Aig_Obj_t * pObj )
+{
+ Fra_Man_t * p = pObj->pData;
+ return Fra_BmcNodesAreEqual( pObj, Aig_ManConst1(p->pManAig) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Refines implications using BMC.]
+
+ Description [The input is the combinational FRAIG manager,
+ which is used to FRAIG the timeframes. ]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_BmcFilterImplications( Fra_Man_t * p, Fra_Bmc_t * pBmc )
+{
+ Aig_Obj_t * pLeft, * pRight;
+ Aig_Obj_t * pLeftT, * pRightT;
+ Aig_Obj_t * pLeftF, * pRightF;
+ int i, f, Imp, Left, Right;
+ int fComplL, fComplR;
+ assert( p->nFramesAll == 1 );
+ assert( p->pManAig == pBmc->pAigFrames );
+ Vec_IntForEachEntry( pBmc->vImps, Imp, i )
+ {
+ if ( Imp == 0 )
+ continue;
+ Left = Fra_ImpLeft(Imp);
+ Right = Fra_ImpRight(Imp);
+ // get the corresponding nodes
+ pLeft = Aig_ManObj( pBmc->pAig, Left );
+ pRight = Aig_ManObj( pBmc->pAig, Right );
+ // iterate through the timeframes
+ for ( f = pBmc->nPref; f < pBmc->nFramesAll; f++ )
+ {
+ // get timeframe nodes
+ pLeftT = Bmc_ObjFrames( pLeft, f );
+ pRightT = Bmc_ObjFrames( pRight, f );
+ // get the corresponding FRAIG nodes
+ pLeftF = Fra_ObjFraig( Aig_Regular(pLeftT), 0 );
+ pRightF = Fra_ObjFraig( Aig_Regular(pRightT), 0 );
+ // get the complemented attributes
+ fComplL = pLeft->fPhase ^ Aig_IsComplement(pLeftF) ^ Aig_IsComplement(pLeftT);
+ fComplR = pRight->fPhase ^ Aig_IsComplement(pRightF) ^ Aig_IsComplement(pRightT);
+ // check equality
+ if ( Aig_Regular(pLeftF) == Aig_Regular(pRightF) )
+ {
+ if ( fComplL == fComplR ) // x => x - always true
+ continue;
+ assert( fComplL != fComplR );
+ // consider 4 possibilities:
+ // NOT(1) => 1 or 0 => 1 - always true
+ // 1 => NOT(1) or 1 => 0 - never true
+ // NOT(x) => x or x - not always true
+ // x => NOT(x) or NOT(x) - not always true
+ if ( Aig_ObjIsConst1(Aig_Regular(pLeftF)) && fComplL ) // proved implication
+ continue;
+ // disproved implication
+ Vec_IntWriteEntry( pBmc->vImps, i, 0 );
+ break;
+ }
+ // check the implication
+ if ( Fra_NodesAreImp( p, Aig_Regular(pLeftF), Aig_Regular(pRightF), fComplL, fComplR ) != 1 )
+ {
+ Vec_IntWriteEntry( pBmc->vImps, i, 0 );
+ break;
+ }
+ }
+ }
+ Fra_ImpCompactArray( pBmc->vImps );
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Starts the BMC manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Fra_Bmc_t * Fra_BmcStart( Aig_Man_t * pAig, int nPref, int nDepth )
+{
+ Fra_Bmc_t * p;
+ p = ALLOC( Fra_Bmc_t, 1 );
+ memset( p, 0, sizeof(Fra_Bmc_t) );
+ p->pAig = pAig;
+ p->nPref = nPref;
+ p->nDepth = nDepth;
+ p->nFramesAll = nPref + nDepth;
+ p->pObjToFrames = ALLOC( Aig_Obj_t *, p->nFramesAll * Aig_ManObjNumMax(pAig) );
+ memset( p->pObjToFrames, 0, sizeof(Aig_Obj_t *) * p->nFramesAll * Aig_ManObjNumMax(pAig) );
+ return p;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Stops the BMC manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_BmcStop( Fra_Bmc_t * p )
+{
+ Aig_ManStop( p->pAigFrames );
+ Aig_ManStop( p->pAigFraig );
+ free( p->pObjToFrames );
+ free( p->pObjToFraig );
+ free( p );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Constructs initialized timeframes of the AIG.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Man_t * Fra_BmcFrames( Fra_Bmc_t * p )
+{
+ Aig_Man_t * pAigFrames;
+ Aig_Obj_t * pObj, * pObjNew;
+ Aig_Obj_t ** pLatches;
+ int i, k, f;
+
+ // start the fraig package
+ pAigFrames = Aig_ManStart( Aig_ManObjNumMax(p->pAig) * p->nFramesAll );
+ pAigFrames->pName = Aig_UtilStrsav( p->pAig->pName );
+ // create PI nodes for the frames
+ for ( f = 0; f < p->nFramesAll; f++ )
+ Bmc_ObjSetFrames( Aig_ManConst1(p->pAig), f, Aig_ManConst1(pAigFrames) );
+ for ( f = 0; f < p->nFramesAll; f++ )
+ Aig_ManForEachPiSeq( p->pAig, pObj, i )
+ Bmc_ObjSetFrames( pObj, f, Aig_ObjCreatePi(pAigFrames) );
+ // set initial state for the latches
+ Aig_ManForEachLoSeq( p->pAig, pObj, i )
+ Bmc_ObjSetFrames( pObj, 0, Aig_ManConst0(pAigFrames) );
+
+ // add timeframes
+ pLatches = ALLOC( Aig_Obj_t *, Aig_ManRegNum(p->pAig) );
+ for ( f = 0; f < p->nFramesAll; f++ )
+ {
+ // add internal nodes of this frame
+ Aig_ManForEachNode( p->pAig, pObj, i )
+ {
+ pObjNew = Aig_And( pAigFrames, Bmc_ObjChild0Frames(pObj,f), Bmc_ObjChild1Frames(pObj,f) );
+ Bmc_ObjSetFrames( pObj, f, pObjNew );
+ }
+ if ( f == p->nFramesAll - 1 )
+ break;
+ // save the latch input values
+ k = 0;
+ Aig_ManForEachLiSeq( p->pAig, pObj, i )
+ pLatches[k++] = Bmc_ObjChild0Frames(pObj,f);
+ assert( k == Aig_ManRegNum(p->pAig) );
+ // insert them to the latch output values
+ k = 0;
+ Aig_ManForEachLoSeq( p->pAig, pObj, i )
+ Bmc_ObjSetFrames( pObj, f+1, pLatches[k++] );
+ assert( k == Aig_ManRegNum(p->pAig) );
+ }
+ free( pLatches );
+ // add POs to all the dangling nodes
+ Aig_ManForEachObj( pAigFrames, pObjNew, i )
+ if ( Aig_ObjIsNode(pObjNew) && pObjNew->nRefs == 0 )
+ Aig_ObjCreatePo( pAigFrames, pObjNew );
+
+ // return the new manager
+ return pAigFrames;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs BMC for the given AIG.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_BmcPerform( Fra_Man_t * p, int nPref, int nDepth )
+{
+ Aig_Obj_t * pObj;
+ int i, nImpsOld = 0, clk = clock();
+ assert( p->pBmc == NULL );
+ // derive and fraig the frames
+ p->pBmc = Fra_BmcStart( p->pManAig, nPref, nDepth );
+ p->pBmc->pAigFrames = Fra_BmcFrames( p->pBmc );
+ // if implications are present, configure the AIG manager to check them
+ if ( p->pCla->vImps )
+ {
+ p->pBmc->pAigFrames->pImpFunc = (void (*) (void*, void*))Fra_BmcFilterImplications;
+ p->pBmc->pAigFrames->pImpData = p->pBmc;
+ p->pBmc->vImps = p->pCla->vImps;
+ nImpsOld = Vec_IntSize(p->pCla->vImps);
+ }
+ p->pBmc->pAigFraig = Fra_FraigEquivence( p->pBmc->pAigFrames, 1000000 );
+ p->pBmc->pObjToFraig = p->pBmc->pAigFrames->pObjCopies;
+ p->pBmc->pAigFrames->pObjCopies = NULL;
+ // annotate frames nodes with pointers to the manager
+ Aig_ManForEachObj( p->pBmc->pAigFrames, pObj, i )
+ pObj->pData = p;
+ // report the results
+ if ( p->pPars->fVerbose )
+ {
+ printf( "Original AIG = %d. Init %d frames = %d. Fraig = %d. ",
+ Aig_ManNodeNum(p->pBmc->pAig), p->pBmc->nFramesAll,
+ Aig_ManNodeNum(p->pBmc->pAigFrames), Aig_ManNodeNum(p->pBmc->pAigFraig) );
+ PRT( "Time", clock() - clk );
+ printf( "Before BMC: " );
+// Fra_ClassesPrint( p->pCla, 0 );
+ printf( "Const = %5d. Class = %5d. Lit = %5d. ",
+ Vec_PtrSize(p->pCla->vClasses1), Vec_PtrSize(p->pCla->vClasses), Fra_ClassesCountLits(p->pCla) );
+ if ( p->pCla->vImps )
+ printf( "Imp = %5d. ", nImpsOld );
+ printf( "\n" );
+ }
+ // refine the classes
+ p->pCla->pFuncNodeIsConst = Fra_BmcNodeIsConst;
+ p->pCla->pFuncNodesAreEqual = Fra_BmcNodesAreEqual;
+ Fra_ClassesRefine( p->pCla );
+ Fra_ClassesRefine1( p->pCla, 1, NULL );
+ p->pCla->pFuncNodeIsConst = Fra_SmlNodeIsConst;
+ p->pCla->pFuncNodesAreEqual = Fra_SmlNodesAreEqual;
+ // report the results
+ if ( p->pPars->fVerbose )
+ {
+ printf( "After BMC: " );
+// Fra_ClassesPrint( p->pCla, 0 );
+ printf( "Const = %5d. Class = %5d. Lit = %5d. ",
+ Vec_PtrSize(p->pCla->vClasses1), Vec_PtrSize(p->pCla->vClasses), Fra_ClassesCountLits(p->pCla) );
+ if ( p->pCla->vImps )
+ printf( "Imp = %5d. ", Vec_IntSize(p->pCla->vImps) );
+ printf( "\n" );
+ }
+ // free the BMC manager
+ Fra_BmcStop( p->pBmc );
+ p->pBmc = NULL;
+}
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/fra/fraCec.c b/src/aig/fra/fraCec.c
new file mode 100644
index 00000000..3e69e02f
--- /dev/null
+++ b/src/aig/fra/fraCec.c
@@ -0,0 +1,303 @@
+/**CFile****************************************************************
+
+ FileName [fraCec.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [New FRAIG package.]
+
+ Synopsis [CEC engined based on fraiging.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - June 30, 2007.]
+
+ Revision [$Id: fraCec.c,v 1.00 2007/06/30 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "fra.h"
+#include "cnf.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fra_FraigSat( Aig_Man_t * pMan, sint64 nConfLimit, sint64 nInsLimit, int fVerbose )
+{
+ sat_solver * pSat;
+ Cnf_Dat_t * pCnf;
+ int status, RetValue, clk = clock();
+ Vec_Int_t * vCiIds;
+
+ assert( Aig_ManPoNum(pMan) == 1 );
+ pMan->pData = NULL;
+
+ // derive CNF
+ pCnf = Cnf_Derive( pMan, 0 );
+// pCnf = Cnf_DeriveSimple( pMan, 0 );
+ // convert into the SAT solver
+ pSat = Cnf_DataWriteIntoSolver( pCnf );
+ vCiIds = Cnf_DataCollectPiSatNums( pCnf, pMan );
+ Cnf_DataFree( pCnf );
+ // solve SAT
+ if ( pSat == NULL )
+ {
+ Vec_IntFree( vCiIds );
+// printf( "Trivially unsat\n" );
+ return 1;
+ }
+
+
+// printf( "Created SAT problem with %d variable and %d clauses. ", sat_solver_nvars(pSat), sat_solver_nclauses(pSat) );
+// PRT( "Time", clock() - clk );
+
+ // simplify the problem
+ clk = clock();
+ status = sat_solver_simplify(pSat);
+// printf( "Simplified the problem to %d variables and %d clauses. ", sat_solver_nvars(pSat), sat_solver_nclauses(pSat) );
+// PRT( "Time", clock() - clk );
+ if ( status == 0 )
+ {
+ Vec_IntFree( vCiIds );
+ sat_solver_delete( pSat );
+// printf( "The problem is UNSATISFIABLE after simplification.\n" );
+ return 1;
+ }
+
+ // solve the miter
+ clk = clock();
+ if ( fVerbose )
+ pSat->verbosity = 1;
+ status = sat_solver_solve( pSat, NULL, NULL, (sint64)nConfLimit, (sint64)nInsLimit, (sint64)0, (sint64)0 );
+ if ( status == l_Undef )
+ {
+// printf( "The problem timed out.\n" );
+ RetValue = -1;
+ }
+ else if ( status == l_True )
+ {
+// printf( "The problem is SATISFIABLE.\n" );
+ RetValue = 0;
+ }
+ else if ( status == l_False )
+ {
+// printf( "The problem is UNSATISFIABLE.\n" );
+ RetValue = 1;
+ }
+ else
+ assert( 0 );
+// PRT( "SAT sat_solver time", clock() - clk );
+// printf( "The number of conflicts = %d.\n", (int)pSat->sat_solver_stats.conflicts );
+
+ // if the problem is SAT, get the counterexample
+ if ( status == l_True )
+ {
+ pMan->pData = Sat_SolverGetModel( pSat, vCiIds->pArray, vCiIds->nSize );
+ }
+ // free the sat_solver
+ if ( fVerbose )
+ Sat_SolverPrintStats( stdout, pSat );
+//sat_solver_store_write( pSat, "trace.cnf" );
+//sat_solver_store_free( pSat );
+ sat_solver_delete( pSat );
+ Vec_IntFree( vCiIds );
+ return RetValue;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fra_FraigCec( Aig_Man_t ** ppAig, int fVerbose )
+{
+ int nBTLimitStart = 300; // starting SAT run
+ int nBTLimitFirst = 2; // first fraiging iteration
+ int nBTLimitLast = 1000000; // the last-gasp SAT run
+
+ Fra_Par_t Params, * pParams = &Params;
+ Aig_Man_t * pAig = *ppAig, * pTemp;
+ int i, RetValue, clk;
+
+ // report the original miter
+ if ( fVerbose )
+ {
+ printf( "Original miter: Nodes = %6d.\n", Aig_ManNodeNum(pAig) );
+ }
+ RetValue = Fra_FraigMiterStatus( pAig );
+// assert( RetValue == -1 );
+ if ( RetValue >= 0 )
+ return RetValue;
+
+ // if SAT only, solve without iteration
+clk = clock();
+ RetValue = Fra_FraigSat( pAig, (sint64)2*nBTLimitStart, (sint64)0, 0 );
+ if ( fVerbose )
+ {
+ printf( "Initial SAT: Nodes = %6d. ", Aig_ManNodeNum(pAig) );
+PRT( "Time", clock() - clk );
+ }
+ if ( RetValue >= 0 )
+ return RetValue;
+
+ // duplicate the AIG
+clk = clock();
+// pAig = Aig_ManDup( pTemp = pAig );
+ pAig = Dar_ManRwsat( pTemp = pAig, 0, 0 );
+ Aig_ManStop( pTemp );
+ if ( fVerbose )
+ {
+ printf( "Rewriting: Nodes = %6d. ", Aig_ManNodeNum(pAig) );
+PRT( "Time", clock() - clk );
+ }
+
+ // perform the loop
+ Fra_ParamsDefault( pParams );
+ pParams->nBTLimitNode = nBTLimitFirst;
+ pParams->nBTLimitMiter = nBTLimitStart;
+ pParams->fDontShowBar = 1;
+ pParams->fProve = 1;
+ for ( i = 0; i < 6; i++ )
+ {
+//printf( "Running fraiging with %d BTnode and %d BTmiter.\n", pParams->nBTLimitNode, pParams->nBTLimitMiter );
+ // run fraiging
+clk = clock();
+ pAig = Fra_FraigPerform( pTemp = pAig, pParams );
+ Aig_ManStop( pTemp );
+ if ( fVerbose )
+ {
+ printf( "Fraiging (i=%d): Nodes = %6d. ", i+1, Aig_ManNodeNum(pAig) );
+PRT( "Time", clock() - clk );
+ }
+
+ // check the miter status
+ RetValue = Fra_FraigMiterStatus( pAig );
+ if ( RetValue >= 0 )
+ break;
+
+ // perform rewriting
+clk = clock();
+ pAig = Dar_ManRewriteDefault( pTemp = pAig );
+ Aig_ManStop( pTemp );
+ if ( fVerbose )
+ {
+ printf( "Rewriting: Nodes = %6d. ", Aig_ManNodeNum(pAig) );
+PRT( "Time", clock() - clk );
+ }
+
+ // check the miter status
+ RetValue = Fra_FraigMiterStatus( pAig );
+ if ( RetValue >= 0 )
+ break;
+ // try simulation
+
+ // set the parameters for the next run
+ pParams->nBTLimitNode = 8 * pParams->nBTLimitNode;
+ pParams->nBTLimitMiter = 2 * pParams->nBTLimitMiter;
+ }
+
+ // if still unsolved try last gasp
+ if ( RetValue == -1 )
+ {
+clk = clock();
+ RetValue = Fra_FraigSat( pAig, (sint64)nBTLimitLast, (sint64)0, 0 );
+ if ( fVerbose )
+ {
+ printf( "Final SAT: Nodes = %6d. ", Aig_ManNodeNum(pAig) );
+PRT( "Time", clock() - clk );
+ }
+ }
+
+ *ppAig = pAig;
+ return RetValue;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fra_FraigCecPartitioned( Aig_Man_t * pMan1, Aig_Man_t * pMan2, int fVerbose )
+{
+ Aig_Man_t * pAig;
+ Vec_Ptr_t * vParts;
+ int i, RetValue = 1, nOutputs;
+ // create partitions
+ vParts = Aig_ManMiterPartitioned( pMan1, pMan2, 100 );
+ // solve the partitions
+ nOutputs = -1;
+ Vec_PtrForEachEntry( vParts, pAig, i )
+ {
+ nOutputs++;
+ if ( fVerbose )
+ printf( "Verifying part %4d (out of %4d) PI = %5d. PO = %5d. And = %6d. Lev = %4d.\r",
+ i+1, Vec_PtrSize(vParts), Aig_ManPiNum(pAig), Aig_ManPoNum(pAig),
+ Aig_ManNodeNum(pAig), Aig_ManLevelNum(pAig) );
+ RetValue = Fra_FraigMiterStatus( pAig );
+ if ( RetValue == 1 )
+ continue;
+ if ( RetValue == 0 )
+ break;
+ RetValue = Fra_FraigCec( &pAig, 0 );
+ Vec_PtrWriteEntry( vParts, i, pAig );
+ if ( RetValue == 1 )
+ continue;
+ if ( RetValue == 0 )
+ break;
+ break;
+ }
+ // clear the result
+ if ( fVerbose )
+ {
+ printf( " \r" );
+ fflush( stdout );
+ }
+ // report the timeout
+ if ( RetValue == -1 )
+ {
+ printf( "Timed out after verifying %d partitions (out of %d).\n", nOutputs, Vec_PtrSize(vParts) );
+ fflush( stdout );
+ }
+ // free intermediate results
+ Vec_PtrForEachEntry( vParts, pAig, i )
+ Aig_ManStop( pAig );
+ Vec_PtrFree( vParts );
+ return RetValue;
+}
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/fra/fraClass.c b/src/aig/fra/fraClass.c
new file mode 100644
index 00000000..962e7f7b
--- /dev/null
+++ b/src/aig/fra/fraClass.c
@@ -0,0 +1,855 @@
+/**CFile****************************************************************
+
+ FileName [fraClass.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [New FRAIG package.]
+
+ Synopsis []
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - June 30, 2007.]
+
+ Revision [$Id: fraClass.c,v 1.00 2007/06/30 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "fra.h"
+
+/*
+ The candidate equivalence classes are stored as a vector of pointers
+ to the array of pointers to the nodes in each class.
+ The first node of the class is its representative node.
+ The representative has the smallest topological order among the class nodes.
+ The nodes inside each class are ordered according to their topological order.
+ The classes are ordered according to the topological order of their representatives.
+ The array of pointers to the class nodes is terminated with a NULL pointer.
+ To enable dynamic addition of new classes (during class refinement),
+ each array has at least as many NULLs in the end, as there are nodes in the class.
+*/
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+static inline Aig_Obj_t * Fra_ObjNext( Aig_Obj_t ** ppNexts, Aig_Obj_t * pObj ) { return ppNexts[pObj->Id]; }
+static inline void Fra_ObjSetNext( Aig_Obj_t ** ppNexts, Aig_Obj_t * pObj, Aig_Obj_t * pNext ) { ppNexts[pObj->Id] = pNext; }
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Starts representation of equivalence classes.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Fra_Cla_t * Fra_ClassesStart( Aig_Man_t * pAig )
+{
+ Fra_Cla_t * p;
+ p = ALLOC( Fra_Cla_t, 1 );
+ memset( p, 0, sizeof(Fra_Cla_t) );
+ p->pAig = pAig;
+ p->pMemRepr = ALLOC( Aig_Obj_t *, Aig_ManObjNumMax(pAig) );
+ memset( p->pMemRepr, 0, sizeof(Aig_Obj_t *) * Aig_ManObjNumMax(pAig) );
+ p->vClasses = Vec_PtrAlloc( 100 );
+ p->vClasses1 = Vec_PtrAlloc( 100 );
+ p->vClassesTemp = Vec_PtrAlloc( 100 );
+ p->vClassOld = Vec_PtrAlloc( 100 );
+ p->vClassNew = Vec_PtrAlloc( 100 );
+ p->pFuncNodeHash = Fra_SmlNodeHash;
+ p->pFuncNodeIsConst = Fra_SmlNodeIsConst;
+ p->pFuncNodesAreEqual = Fra_SmlNodesAreEqual;
+ return p;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Stop representation of equivalence classes.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_ClassesStop( Fra_Cla_t * p )
+{
+ FREE( p->pMemClasses );
+ FREE( p->pMemRepr );
+ if ( p->vClassesTemp ) Vec_PtrFree( p->vClassesTemp );
+ if ( p->vClassNew ) Vec_PtrFree( p->vClassNew );
+ if ( p->vClassOld ) Vec_PtrFree( p->vClassOld );
+ if ( p->vClasses1 ) Vec_PtrFree( p->vClasses1 );
+ if ( p->vClasses ) Vec_PtrFree( p->vClasses );
+ if ( p->vImps ) Vec_IntFree( p->vImps );
+ free( p );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Starts representation of equivalence classes.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_ClassesCopyReprs( Fra_Cla_t * p, Vec_Ptr_t * vFailed )
+{
+ Aig_Obj_t * pObj;
+ int i;
+ Aig_ManReprStart( p->pAig, Aig_ManObjNumMax(p->pAig) );
+ memmove( p->pAig->pReprs, p->pMemRepr, sizeof(Aig_Obj_t *) * Aig_ManObjNumMax(p->pAig) );
+ if ( Vec_PtrSize(p->vClasses1) == 0 && Vec_PtrSize(p->vClasses) == 0 )
+ {
+ Aig_ManForEachObj( p->pAig, pObj, i )
+ {
+ if ( p->pAig->pReprs[i] != NULL )
+ printf( "Classes are not cleared!\n" );
+ assert( p->pAig->pReprs[i] == NULL );
+ }
+ }
+ if ( vFailed )
+ Vec_PtrForEachEntry( vFailed, pObj, i )
+ p->pAig->pReprs[pObj->Id] = NULL;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Prints simulation classes.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fra_ClassCount( Aig_Obj_t ** pClass )
+{
+ Aig_Obj_t * pTemp;
+ int i;
+ for ( i = 0; (pTemp = pClass[i]); i++ );
+ return i;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Count the number of literals.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fra_ClassesCountLits( Fra_Cla_t * p )
+{
+ Aig_Obj_t ** pClass;
+ int i, nNodes, nLits = 0;
+ nLits = Vec_PtrSize( p->vClasses1 );
+ Vec_PtrForEachEntry( p->vClasses, pClass, i )
+ {
+ nNodes = Fra_ClassCount( pClass );
+ assert( nNodes > 1 );
+ nLits += nNodes - 1;
+ }
+ return nLits;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Count the number of pairs.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fra_ClassesCountPairs( Fra_Cla_t * p )
+{
+ Aig_Obj_t ** pClass;
+ int i, nNodes, nPairs = 0;
+ Vec_PtrForEachEntry( p->vClasses, pClass, i )
+ {
+ nNodes = Fra_ClassCount( pClass );
+ assert( nNodes > 1 );
+ nPairs += nNodes * (nNodes - 1) / 2;
+ }
+ return nPairs;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Prints simulation classes.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_PrintClass( Aig_Obj_t ** pClass )
+{
+ Aig_Obj_t * pTemp;
+ int i;
+ for ( i = 1; (pTemp = pClass[i]); i++ )
+ assert( Fra_ClassObjRepr(pTemp) == pClass[0] );
+ printf( "{ " );
+ for ( i = 0; (pTemp = pClass[i]); i++ )
+ printf( "%d(%d) ", pTemp->Id, pTemp->Level );
+ printf( "}\n" );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Prints simulation classes.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_ClassesPrint( Fra_Cla_t * p, int fVeryVerbose )
+{
+ Aig_Obj_t ** pClass;
+ Aig_Obj_t * pObj;
+ int i;
+
+ printf( "Const = %5d. Class = %5d. Lit = %5d. ",
+ Vec_PtrSize(p->vClasses1), Vec_PtrSize(p->vClasses), Fra_ClassesCountLits(p) );
+ if ( p->vImps && Vec_IntSize(p->vImps) > 0 )
+ printf( "Imp = %5d. ", Vec_IntSize(p->vImps) );
+ printf( "\n" );
+
+ if ( fVeryVerbose )
+ {
+ Vec_PtrForEachEntry( p->vClasses1, pObj, i )
+ assert( Fra_ClassObjRepr(pObj) == Aig_ManConst1(p->pAig) );
+ printf( "Constants { " );
+ Vec_PtrForEachEntry( p->vClasses1, pObj, i )
+ printf( "%d ", pObj->Id );
+ printf( "}\n" );
+ Vec_PtrForEachEntry( p->vClasses, pClass, i )
+ {
+ printf( "%3d (%3d) : ", i, Fra_ClassCount(pClass) );
+ Fra_PrintClass( pClass );
+ }
+ printf( "\n" );
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates initial simulation classes.]
+
+ Description [Assumes that simulation info is assigned.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_ClassesPrepare( Fra_Cla_t * p, int fLatchCorr )
+{
+ Aig_Obj_t ** ppTable, ** ppNexts;
+ Aig_Obj_t * pObj, * pTemp;
+ int i, k, nTableSize, nEntries, nNodes, iEntry;
+
+ // allocate the hash table hashing simulation info into nodes
+ nTableSize = Aig_PrimeCudd( Aig_ManObjNumMax(p->pAig) );
+ ppTable = ALLOC( Aig_Obj_t *, nTableSize );
+ ppNexts = ALLOC( Aig_Obj_t *, nTableSize );
+ memset( ppTable, 0, sizeof(Aig_Obj_t *) * nTableSize );
+
+ // add all the nodes to the hash table
+ Vec_PtrClear( p->vClasses1 );
+ Aig_ManForEachObj( p->pAig, pObj, i )
+ {
+ if ( fLatchCorr )
+ {
+ if ( !Aig_ObjIsPi(pObj) )
+ continue;
+ }
+ else
+ {
+ if ( !Aig_ObjIsNode(pObj) && !Aig_ObjIsPi(pObj) )
+ continue;
+ // skip the node with more that the given number of levels
+// if ( pObj->Level > 3 )
+// continue;
+ }
+ // hash the node by its simulation info
+ iEntry = p->pFuncNodeHash( pObj, nTableSize );
+ // check if the node belongs to the class of constant 1
+ if ( p->pFuncNodeIsConst( pObj ) )
+ {
+ Vec_PtrPush( p->vClasses1, pObj );
+ Fra_ClassObjSetRepr( pObj, Aig_ManConst1(p->pAig) );
+ continue;
+ }
+ // add the node to the class
+ if ( ppTable[iEntry] == NULL )
+ {
+ ppTable[iEntry] = pObj;
+ Fra_ObjSetNext( ppNexts, pObj, pObj );
+ }
+ else
+ {
+ Fra_ObjSetNext( ppNexts, pObj, Fra_ObjNext(ppNexts,ppTable[iEntry]) );
+ Fra_ObjSetNext( ppNexts, ppTable[iEntry], pObj );
+ }
+ }
+
+ // count the total number of nodes in the non-trivial classes
+ // mark the representative nodes of each equivalence class
+ nEntries = 0;
+ for ( i = 0; i < nTableSize; i++ )
+ if ( ppTable[i] && ppTable[i] != Fra_ObjNext(ppNexts, ppTable[i]) )
+ {
+ for ( pTemp = Fra_ObjNext(ppNexts, ppTable[i]), k = 1;
+ pTemp != ppTable[i];
+ pTemp = Fra_ObjNext(ppNexts, pTemp), k++ );
+ assert( k > 1 );
+ nEntries += k;
+ // mark the node
+ assert( ppTable[i]->fMarkA == 0 );
+ ppTable[i]->fMarkA = 1;
+ }
+
+ // allocate room for classes
+ p->pMemClasses = ALLOC( Aig_Obj_t *, 2*(nEntries + Vec_PtrSize(p->vClasses1)) );
+ p->pMemClassesFree = p->pMemClasses + 2*nEntries;
+
+ // copy the entries into storage in the topological order
+ Vec_PtrClear( p->vClasses );
+ nEntries = 0;
+ Aig_ManForEachObj( p->pAig, pObj, i )
+ {
+ if ( !Aig_ObjIsNode(pObj) && !Aig_ObjIsPi(pObj) )
+ continue;
+ // skip the nodes that are not representatives of non-trivial classes
+ if ( pObj->fMarkA == 0 )
+ continue;
+ pObj->fMarkA = 0;
+ // add the class of nodes
+ Vec_PtrPush( p->vClasses, p->pMemClasses + 2*nEntries );
+ // count the number of entries in this class
+ for ( pTemp = Fra_ObjNext(ppNexts, pObj), k = 1;
+ pTemp != pObj;
+ pTemp = Fra_ObjNext(ppNexts, pTemp), k++ );
+ nNodes = k;
+ assert( nNodes > 1 );
+ // add the nodes to the class in the topological order
+ p->pMemClasses[2*nEntries] = pObj;
+ for ( pTemp = Fra_ObjNext(ppNexts, pObj), k = 1;
+ pTemp != pObj;
+ pTemp = Fra_ObjNext(ppNexts, pTemp), k++ )
+ {
+ p->pMemClasses[2*nEntries+nNodes-k] = pTemp;
+ Fra_ClassObjSetRepr( pTemp, pObj );
+ }
+ // add as many empty entries
+ p->pMemClasses[2*nEntries + nNodes] = NULL;
+ // increment the number of entries
+ nEntries += k;
+ }
+ free( ppTable );
+ free( ppNexts );
+ // now it is time to refine the classes
+ Fra_ClassesRefine( p );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Refines one class using simulation info.]
+
+ Description [Returns the new class if refinement happened.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Obj_t ** Fra_RefineClassOne( Fra_Cla_t * p, Aig_Obj_t ** ppClass )
+{
+ Aig_Obj_t * pObj, ** ppThis;
+ int i;
+ assert( ppClass[0] != NULL && ppClass[1] != NULL );
+
+ // check if the class is going to be refined
+ for ( ppThis = ppClass + 1; (pObj = *ppThis); ppThis++ )
+ if ( !p->pFuncNodesAreEqual(ppClass[0], pObj) )
+ break;
+ if ( pObj == NULL )
+ return NULL;
+ // split the class
+ Vec_PtrClear( p->vClassOld );
+ Vec_PtrClear( p->vClassNew );
+ Vec_PtrPush( p->vClassOld, ppClass[0] );
+ for ( ppThis = ppClass + 1; (pObj = *ppThis); ppThis++ )
+ if ( p->pFuncNodesAreEqual(ppClass[0], pObj) )
+ Vec_PtrPush( p->vClassOld, pObj );
+ else
+ Vec_PtrPush( p->vClassNew, pObj );
+/*
+ printf( "Refining class (" );
+ Vec_PtrForEachEntry( p->vClassOld, pObj, i )
+ printf( "%d,", pObj->Id );
+ printf( ") + (" );
+ Vec_PtrForEachEntry( p->vClassNew, pObj, i )
+ printf( "%d,", pObj->Id );
+ printf( ")\n" );
+*/
+ // put the nodes back into the class memory
+ Vec_PtrForEachEntry( p->vClassOld, pObj, i )
+ {
+ ppClass[i] = pObj;
+ ppClass[Vec_PtrSize(p->vClassOld)+i] = NULL;
+ Fra_ClassObjSetRepr( pObj, i? ppClass[0] : NULL );
+ }
+ ppClass += 2*Vec_PtrSize(p->vClassOld);
+ // put the new nodes into the class memory
+ Vec_PtrForEachEntry( p->vClassNew, pObj, i )
+ {
+ ppClass[i] = pObj;
+ ppClass[Vec_PtrSize(p->vClassNew)+i] = NULL;
+ Fra_ClassObjSetRepr( pObj, i? ppClass[0] : NULL );
+ }
+ return ppClass;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Iteratively refines the classes after simulation.]
+
+ Description [Returns the number of refinements performed.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fra_RefineClassLastIter( Fra_Cla_t * p, Vec_Ptr_t * vClasses )
+{
+ Aig_Obj_t ** pClass, ** pClass2;
+ int nRefis;
+ pClass = Vec_PtrEntryLast( vClasses );
+ for ( nRefis = 0; (pClass2 = Fra_RefineClassOne( p, pClass )); nRefis++ )
+ {
+ // if the original class is trivial, remove it
+ if ( pClass[1] == NULL )
+ Vec_PtrPop( vClasses );
+ // if the new class is trivial, stop
+ if ( pClass2[1] == NULL )
+ {
+ nRefis++;
+ break;
+ }
+ // othewise, add the class and continue
+ assert( pClass2[0] != NULL );
+ Vec_PtrPush( vClasses, pClass2 );
+ pClass = pClass2;
+ }
+ return nRefis;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Refines the classes after simulation.]
+
+ Description [Assumes that simulation info is assigned. Returns the
+ number of classes refined.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fra_ClassesRefine( Fra_Cla_t * p )
+{
+ Vec_Ptr_t * vTemp;
+ Aig_Obj_t ** pClass;
+ int i, nRefis;
+ // refine the classes
+ nRefis = 0;
+ Vec_PtrClear( p->vClassesTemp );
+ Vec_PtrForEachEntry( p->vClasses, pClass, i )
+ {
+ // add the class to the new array
+ assert( pClass[0] != NULL );
+ Vec_PtrPush( p->vClassesTemp, pClass );
+ // refine the class iteratively
+ nRefis += Fra_RefineClassLastIter( p, p->vClassesTemp );
+ }
+ // exchange the class representation
+ vTemp = p->vClassesTemp;
+ p->vClassesTemp = p->vClasses;
+ p->vClasses = vTemp;
+ return nRefis;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Refines constant 1 equivalence class.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fra_ClassesRefine1( Fra_Cla_t * p, int fRefineNewClass, int * pSkipped )
+{
+ Aig_Obj_t * pObj, ** ppClass;
+ int i, k, nRefis = 1;
+ // check if there is anything to refine
+ if ( Vec_PtrSize(p->vClasses1) == 0 )
+ return 0;
+ // make sure constant 1 class contains only non-constant nodes
+ assert( Vec_PtrEntry(p->vClasses1,0) != Aig_ManConst1(p->pAig) );
+ // collect all the nodes to be refined
+ k = 0;
+ Vec_PtrClear( p->vClassNew );
+ Vec_PtrForEachEntry( p->vClasses1, pObj, i )
+ {
+ if ( p->pFuncNodeIsConst( pObj ) )
+ Vec_PtrWriteEntry( p->vClasses1, k++, pObj );
+ else
+ Vec_PtrPush( p->vClassNew, pObj );
+ }
+ Vec_PtrShrink( p->vClasses1, k );
+ if ( Vec_PtrSize(p->vClassNew) == 0 )
+ return 0;
+/*
+ printf( "Refined const-1 class: {" );
+ Vec_PtrForEachEntry( p->vClassNew, pObj, i )
+ printf( " %d", pObj->Id );
+ printf( " }\n" );
+*/
+ if ( Vec_PtrSize(p->vClassNew) == 1 )
+ {
+ Fra_ClassObjSetRepr( Vec_PtrEntry(p->vClassNew,0), NULL );
+ return 1;
+ }
+ // create a new class composed of these nodes
+ ppClass = p->pMemClassesFree;
+ p->pMemClassesFree += 2 * Vec_PtrSize(p->vClassNew);
+ Vec_PtrForEachEntry( p->vClassNew, pObj, i )
+ {
+ ppClass[i] = pObj;
+ ppClass[Vec_PtrSize(p->vClassNew)+i] = NULL;
+ Fra_ClassObjSetRepr( pObj, i? ppClass[0] : NULL );
+ }
+ assert( ppClass[0] != NULL );
+ Vec_PtrPush( p->vClasses, ppClass );
+ // iteratively refine this class
+ if ( fRefineNewClass )
+ nRefis += Fra_RefineClassLastIter( p, p->vClasses );
+ else if ( pSkipped )
+ (*pSkipped)++;
+ return nRefis;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Starts representation of equivalence classes with one class.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_ClassesTest( Fra_Cla_t * p, int Id1, int Id2 )
+{
+ Aig_Obj_t ** pClass;
+ p->pMemClasses = ALLOC( Aig_Obj_t *, 4 );
+ pClass = p->pMemClasses;
+ assert( Id1 < Id2 );
+ pClass[0] = Aig_ManObj( p->pAig, Id1 );
+ pClass[1] = Aig_ManObj( p->pAig, Id2 );
+ pClass[2] = NULL;
+ pClass[3] = NULL;
+ Fra_ClassObjSetRepr( pClass[1], pClass[0] );
+ Vec_PtrPush( p->vClasses, pClass );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates latch correspondence classes.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_ClassesLatchCorr( Fra_Man_t * p )
+{
+ Aig_Obj_t * pObj;
+ int i, nEntries = 0;
+ Vec_PtrClear( p->pCla->vClasses1 );
+ Aig_ManForEachLoSeq( p->pManAig, pObj, i )
+ {
+ Vec_PtrPush( p->pCla->vClasses1, pObj );
+ Fra_ClassObjSetRepr( pObj, Aig_ManConst1(p->pManAig) );
+ }
+ // allocate room for classes
+ p->pCla->pMemClasses = ALLOC( Aig_Obj_t *, 2*(nEntries + Vec_PtrSize(p->pCla->vClasses1)) );
+ p->pCla->pMemClassesFree = p->pCla->pMemClasses + 2*nEntries;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Postprocesses the classes by removing half of the less useful.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_ClassesPostprocess( Fra_Cla_t * p )
+{
+ int Ratio = 2;
+ Fra_Sml_t * pComb;
+ Aig_Obj_t * pObj, * pRepr, ** ppClass;
+ int * pWeights, WeightMax = 0, i, k, c;
+ // perform combinational simulation
+ pComb = Fra_SmlSimulateComb( p->pAig, 32 );
+ // compute the weight of each node in the classes
+ pWeights = ALLOC( int, Aig_ManObjNumMax(p->pAig) );
+ memset( pWeights, 0, sizeof(int) * Aig_ManObjNumMax(p->pAig) );
+ Aig_ManForEachObj( p->pAig, pObj, i )
+ {
+ pRepr = Fra_ClassObjRepr( pObj );
+ if ( pRepr == NULL )
+ continue;
+ pWeights[i] = Fra_SmlNodeNotEquWeight( pComb, pRepr->Id, pObj->Id );
+ WeightMax = AIG_MAX( WeightMax, pWeights[i] );
+ }
+ Fra_SmlStop( pComb );
+ printf( "Before: Const = %6d. Class = %6d. ", Vec_PtrSize(p->vClasses1), Vec_PtrSize(p->vClasses) );
+ // remove nodes from classes whose weight is less than WeightMax/Ratio
+ k = 0;
+ Vec_PtrForEachEntry( p->vClasses1, pObj, i )
+ {
+ if ( pWeights[pObj->Id] >= WeightMax/Ratio )
+ Vec_PtrWriteEntry( p->vClasses1, k++, pObj );
+ else
+ Fra_ClassObjSetRepr( pObj, NULL );
+ }
+ Vec_PtrShrink( p->vClasses1, k );
+ // in each class, compact the nodes
+ Vec_PtrForEachEntry( p->vClasses, ppClass, i )
+ {
+ k = 1;
+ for ( c = 1; ppClass[c]; c++ )
+ {
+ if ( pWeights[ppClass[c]->Id] >= WeightMax/Ratio )
+ ppClass[k++] = ppClass[c];
+ else
+ Fra_ClassObjSetRepr( ppClass[c], NULL );
+ }
+ ppClass[k] = NULL;
+ }
+ // remove classes with only repr
+ k = 0;
+ Vec_PtrForEachEntry( p->vClasses, ppClass, i )
+ if ( ppClass[1] != NULL )
+ Vec_PtrWriteEntry( p->vClasses, k++, ppClass );
+ Vec_PtrShrink( p->vClasses, k );
+ printf( "After: Const = %6d. Class = %6d. \n", Vec_PtrSize(p->vClasses1), Vec_PtrSize(p->vClasses) );
+ free( pWeights );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Postprocesses the classes by selecting representative lowest in top order.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_ClassesSelectRepr( Fra_Cla_t * p )
+{
+ Aig_Obj_t ** pClass, * pNodeMin;
+ int i, c, cMinSupp, nSuppSizeMin, nSuppSizeCur;
+ // reassign representatives in each class
+ Vec_PtrForEachEntry( p->vClasses, pClass, i )
+ {
+ // collect support sizes and find the min-support node
+ cMinSupp = -1;
+ pNodeMin = NULL;
+ nSuppSizeMin = AIG_INFINITY;
+ for ( c = 0; pClass[c]; c++ )
+ {
+ nSuppSizeCur = Aig_SupportSize( p->pAig, pClass[c] );
+// nSuppSizeCur = 1;
+ if ( nSuppSizeMin > nSuppSizeCur ||
+ (nSuppSizeMin == nSuppSizeCur && pNodeMin->Level > pClass[c]->Level) )
+ {
+ nSuppSizeMin = nSuppSizeCur;
+ pNodeMin = pClass[c];
+ cMinSupp = c;
+ }
+ }
+ // skip the case when the repr did not change
+ if ( cMinSupp == 0 )
+ continue;
+ // make the new node the representative of the class
+ pClass[cMinSupp] = pClass[0];
+ pClass[0] = pNodeMin;
+ // set the representative
+ for ( c = 0; pClass[c]; c++ )
+ Fra_ClassObjSetRepr( pClass[c], c? pClass[0] : NULL );
+ }
+}
+
+
+
+static inline Aig_Obj_t * Fra_ObjEqu( Aig_Obj_t ** ppEquivs, Aig_Obj_t * pObj ) { return ppEquivs[pObj->Id]; }
+static inline void Fra_ObjSetEqu( Aig_Obj_t ** ppEquivs, Aig_Obj_t * pObj, Aig_Obj_t * pNode ) { ppEquivs[pObj->Id] = pNode; }
+
+static inline Aig_Obj_t * Fra_ObjChild0Equ( Aig_Obj_t ** ppEquivs, Aig_Obj_t * pObj ) { return Aig_NotCond(Fra_ObjEqu(ppEquivs,Aig_ObjFanin0(pObj)), Aig_ObjFaninC0(pObj)); }
+static inline Aig_Obj_t * Fra_ObjChild1Equ( Aig_Obj_t ** ppEquivs, Aig_Obj_t * pObj ) { return Aig_NotCond(Fra_ObjEqu(ppEquivs,Aig_ObjFanin1(pObj)), Aig_ObjFaninC1(pObj)); }
+
+/**Function*************************************************************
+
+ Synopsis [Add the node and its constraints to the new AIG.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline void Fra_ClassesDeriveNode( Aig_Man_t * pManFraig, Aig_Obj_t * pObj, Aig_Obj_t ** ppEquivs )
+{
+ Aig_Obj_t * pObjNew, * pObjRepr, * pObjReprNew, * pMiter;//, * pObjNew2;
+ // skip nodes without representative
+ if ( (pObjRepr = Fra_ClassObjRepr(pObj)) == NULL )
+ return;
+ assert( pObjRepr->Id < pObj->Id );
+ // get the new node
+ pObjNew = Fra_ObjEqu( ppEquivs, pObj );
+ // get the new node of the representative
+ pObjReprNew = Fra_ObjEqu( ppEquivs, pObjRepr );
+ // if this is the same node, no need to add constraints
+ if ( Aig_Regular(pObjNew) == Aig_Regular(pObjReprNew) )
+ return;
+ // these are different nodes - perform speculative reduction
+// pObjNew2 = Aig_NotCond( pObjReprNew, pObj->fPhase ^ pObjRepr->fPhase );
+ // set the new node
+// Fra_ObjSetEqu( ppEquivs, pObj, pObjNew2 );
+ // add the constraint
+ pMiter = Aig_Exor( pManFraig, Aig_Regular(pObjNew), Aig_Regular(pObjReprNew) );
+ pMiter = Aig_NotCond( pMiter, Aig_Regular(pMiter)->fPhase ^ Aig_IsComplement(pMiter) );
+ pMiter = Aig_Not( pMiter );
+ Aig_ObjCreatePo( pManFraig, pMiter );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Derives AIG for the partitioned problem.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Man_t * Fra_ClassesDeriveAig( Fra_Cla_t * p, int nFramesK )
+{
+ Aig_Man_t * pManFraig;
+ Aig_Obj_t * pObj, * pObjNew;
+ Aig_Obj_t ** pLatches, ** ppEquivs;
+ int i, k, f, nFramesAll = nFramesK + 1;
+ assert( Aig_ManRegNum(p->pAig) > 0 );
+ assert( Aig_ManRegNum(p->pAig) < Aig_ManPiNum(p->pAig) );
+ assert( nFramesK > 0 );
+ // start the fraig package
+ pManFraig = Aig_ManStart( Aig_ManObjNumMax(p->pAig) * nFramesAll );
+ pManFraig->pName = Aig_UtilStrsav( p->pAig->pName );
+ // allocate place for the node mapping
+ ppEquivs = ALLOC( Aig_Obj_t *, Aig_ManObjNumMax(p->pAig) );
+ Fra_ObjSetEqu( ppEquivs, Aig_ManConst1(p->pAig), Aig_ManConst1(pManFraig) );
+ // create latches for the first frame
+ Aig_ManForEachLoSeq( p->pAig, pObj, i )
+ Fra_ObjSetEqu( ppEquivs, pObj, Aig_ObjCreatePi(pManFraig) );
+ // add timeframes
+ pLatches = ALLOC( Aig_Obj_t *, Aig_ManRegNum(p->pAig) );
+ for ( f = 0; f < nFramesAll; f++ )
+ {
+ // create PIs for this frame
+ Aig_ManForEachPiSeq( p->pAig, pObj, i )
+ Fra_ObjSetEqu( ppEquivs, pObj, Aig_ObjCreatePi(pManFraig) );
+ // set the constraints on the latch outputs
+ Aig_ManForEachLoSeq( p->pAig, pObj, i )
+ Fra_ClassesDeriveNode( pManFraig, pObj, ppEquivs );
+ // add internal nodes of this frame
+ Aig_ManForEachNode( p->pAig, pObj, i )
+ {
+ pObjNew = Aig_And( pManFraig, Fra_ObjChild0Equ(ppEquivs, pObj), Fra_ObjChild1Equ(ppEquivs, pObj) );
+ Fra_ObjSetEqu( ppEquivs, pObj, pObjNew );
+ Fra_ClassesDeriveNode( pManFraig, pObj, ppEquivs );
+ }
+ if ( f == nFramesAll - 1 )
+ break;
+ if ( f == nFramesAll - 2 )
+ pManFraig->nAsserts = Aig_ManPoNum(pManFraig);
+ // save the latch input values
+ k = 0;
+ Aig_ManForEachLiSeq( p->pAig, pObj, i )
+ pLatches[k++] = Fra_ObjChild0Equ( ppEquivs, pObj );
+ // insert them to the latch output values
+ k = 0;
+ Aig_ManForEachLoSeq( p->pAig, pObj, i )
+ Fra_ObjSetEqu( ppEquivs, pObj, pLatches[k++] );
+ }
+ free( pLatches );
+ free( ppEquivs );
+ // mark the asserts
+ assert( Aig_ManPoNum(pManFraig) % nFramesAll == 0 );
+printf( "Assert miters = %6d. Output miters = %6d.\n",
+ pManFraig->nAsserts, Aig_ManPoNum(pManFraig) - pManFraig->nAsserts );
+ // remove dangling nodes
+ Aig_ManCleanup( pManFraig );
+ return pManFraig;
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/fra/fraCnf.c b/src/aig/fra/fraCnf.c
new file mode 100644
index 00000000..d96fe8a1
--- /dev/null
+++ b/src/aig/fra/fraCnf.c
@@ -0,0 +1,284 @@
+/**CFile****************************************************************
+
+ FileName [fraCnf.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [New FRAIG package.]
+
+ Synopsis []
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - June 30, 2007.]
+
+ Revision [$Id: fraCnf.c,v 1.00 2007/06/30 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "fra.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+
+/**Function*************************************************************
+
+ Synopsis [Addes clauses to the solver.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_AddClausesMux( Fra_Man_t * p, Aig_Obj_t * pNode )
+{
+ Aig_Obj_t * pNodeI, * pNodeT, * pNodeE;
+ int pLits[4], RetValue, VarF, VarI, VarT, VarE, fCompT, fCompE;
+
+ assert( !Aig_IsComplement( pNode ) );
+ assert( Aig_ObjIsMuxType( pNode ) );
+ // get nodes (I = if, T = then, E = else)
+ pNodeI = Aig_ObjRecognizeMux( pNode, &pNodeT, &pNodeE );
+ // get the variable numbers
+ VarF = Fra_ObjSatNum(pNode);
+ VarI = Fra_ObjSatNum(pNodeI);
+ VarT = Fra_ObjSatNum(Aig_Regular(pNodeT));
+ VarE = Fra_ObjSatNum(Aig_Regular(pNodeE));
+ // get the complementation flags
+ fCompT = Aig_IsComplement(pNodeT);
+ fCompE = Aig_IsComplement(pNodeE);
+
+ // f = ITE(i, t, e)
+
+ // i' + t' + f
+ // i' + t + f'
+ // i + e' + f
+ // i + e + f'
+
+ // create four clauses
+ pLits[0] = toLitCond(VarI, 1);
+ pLits[1] = toLitCond(VarT, 1^fCompT);
+ pLits[2] = toLitCond(VarF, 0);
+ RetValue = sat_solver_addclause( p->pSat, pLits, pLits + 3 );
+ assert( RetValue );
+ pLits[0] = toLitCond(VarI, 1);
+ pLits[1] = toLitCond(VarT, 0^fCompT);
+ pLits[2] = toLitCond(VarF, 1);
+ RetValue = sat_solver_addclause( p->pSat, pLits, pLits + 3 );
+ assert( RetValue );
+ pLits[0] = toLitCond(VarI, 0);
+ pLits[1] = toLitCond(VarE, 1^fCompE);
+ pLits[2] = toLitCond(VarF, 0);
+ RetValue = sat_solver_addclause( p->pSat, pLits, pLits + 3 );
+ assert( RetValue );
+ pLits[0] = toLitCond(VarI, 0);
+ pLits[1] = toLitCond(VarE, 0^fCompE);
+ pLits[2] = toLitCond(VarF, 1);
+ RetValue = sat_solver_addclause( p->pSat, pLits, pLits + 3 );
+ assert( RetValue );
+
+ // two additional clauses
+ // t' & e' -> f'
+ // t & e -> f
+
+ // t + e + f'
+ // t' + e' + f
+
+ if ( VarT == VarE )
+ {
+// assert( fCompT == !fCompE );
+ return;
+ }
+
+ pLits[0] = toLitCond(VarT, 0^fCompT);
+ pLits[1] = toLitCond(VarE, 0^fCompE);
+ pLits[2] = toLitCond(VarF, 1);
+ RetValue = sat_solver_addclause( p->pSat, pLits, pLits + 3 );
+ assert( RetValue );
+ pLits[0] = toLitCond(VarT, 1^fCompT);
+ pLits[1] = toLitCond(VarE, 1^fCompE);
+ pLits[2] = toLitCond(VarF, 0);
+ RetValue = sat_solver_addclause( p->pSat, pLits, pLits + 3 );
+ assert( RetValue );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Addes clauses to the solver.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_AddClausesSuper( Fra_Man_t * p, Aig_Obj_t * pNode, Vec_Ptr_t * vSuper )
+{
+ Aig_Obj_t * pFanin;
+ int * pLits, nLits, RetValue, i;
+ assert( !Aig_IsComplement(pNode) );
+ assert( Aig_ObjIsNode( pNode ) );
+ // create storage for literals
+ nLits = Vec_PtrSize(vSuper) + 1;
+ pLits = ALLOC( int, nLits );
+ // suppose AND-gate is A & B = C
+ // add !A => !C or A + !C
+ Vec_PtrForEachEntry( vSuper, pFanin, i )
+ {
+ pLits[0] = toLitCond(Fra_ObjSatNum(Aig_Regular(pFanin)), Aig_IsComplement(pFanin));
+ pLits[1] = toLitCond(Fra_ObjSatNum(pNode), 1);
+ RetValue = sat_solver_addclause( p->pSat, pLits, pLits + 2 );
+ assert( RetValue );
+ }
+ // add A & B => C or !A + !B + C
+ Vec_PtrForEachEntry( vSuper, pFanin, i )
+ pLits[i] = toLitCond(Fra_ObjSatNum(Aig_Regular(pFanin)), !Aig_IsComplement(pFanin));
+ pLits[nLits-1] = toLitCond(Fra_ObjSatNum(pNode), 0);
+ RetValue = sat_solver_addclause( p->pSat, pLits, pLits + nLits );
+ assert( RetValue );
+ free( pLits );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Collects the supergate.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_CollectSuper_rec( Aig_Obj_t * pObj, Vec_Ptr_t * vSuper, int fFirst, int fUseMuxes )
+{
+ // if the new node is complemented or a PI, another gate begins
+ if ( Aig_IsComplement(pObj) || Aig_ObjIsPi(pObj) || (!fFirst && Aig_ObjRefs(pObj) > 1) ||
+ (fUseMuxes && Aig_ObjIsMuxType(pObj)) )
+ {
+ Vec_PtrPushUnique( vSuper, pObj );
+ return;
+ }
+ // go through the branches
+ Fra_CollectSuper_rec( Aig_ObjChild0(pObj), vSuper, 0, fUseMuxes );
+ Fra_CollectSuper_rec( Aig_ObjChild1(pObj), vSuper, 0, fUseMuxes );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Collects the supergate.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Vec_Ptr_t * Fra_CollectSuper( Aig_Obj_t * pObj, int fUseMuxes )
+{
+ Vec_Ptr_t * vSuper;
+ assert( !Aig_IsComplement(pObj) );
+ assert( !Aig_ObjIsPi(pObj) );
+ vSuper = Vec_PtrAlloc( 4 );
+ Fra_CollectSuper_rec( pObj, vSuper, 1, fUseMuxes );
+ return vSuper;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Updates the solver clause database.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_ObjAddToFrontier( Fra_Man_t * p, Aig_Obj_t * pObj, Vec_Ptr_t * vFrontier )
+{
+ assert( !Aig_IsComplement(pObj) );
+ if ( Fra_ObjSatNum(pObj) )
+ return;
+ assert( Fra_ObjSatNum(pObj) == 0 );
+ assert( Fra_ObjFaninVec(pObj) == NULL );
+ if ( Aig_ObjIsConst1(pObj) )
+ return;
+ Fra_ObjSetSatNum( pObj, p->nSatVars++ );
+ if ( Aig_ObjIsNode(pObj) )
+ Vec_PtrPush( vFrontier, pObj );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Updates the solver clause database.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_CnfNodeAddToSolver( Fra_Man_t * p, Aig_Obj_t * pOld, Aig_Obj_t * pNew )
+{
+ Vec_Ptr_t * vFrontier, * vFanins;
+ Aig_Obj_t * pNode, * pFanin;
+ int i, k, fUseMuxes = 1;
+ assert( pOld || pNew );
+ // quit if CNF is ready
+ if ( (!pOld || Fra_ObjFaninVec(pOld)) && (!pNew || Fra_ObjFaninVec(pNew)) )
+ return;
+ // start the frontier
+ vFrontier = Vec_PtrAlloc( 100 );
+ if ( pOld ) Fra_ObjAddToFrontier( p, pOld, vFrontier );
+ if ( pNew ) Fra_ObjAddToFrontier( p, pNew, vFrontier );
+ // explore nodes in the frontier
+ Vec_PtrForEachEntry( vFrontier, pNode, i )
+ {
+ // create the supergate
+ assert( Fra_ObjSatNum(pNode) );
+ assert( Fra_ObjFaninVec(pNode) == NULL );
+ if ( fUseMuxes && Aig_ObjIsMuxType(pNode) )
+ {
+ vFanins = Vec_PtrAlloc( 4 );
+ Vec_PtrPushUnique( vFanins, Aig_ObjFanin0( Aig_ObjFanin0(pNode) ) );
+ Vec_PtrPushUnique( vFanins, Aig_ObjFanin0( Aig_ObjFanin1(pNode) ) );
+ Vec_PtrPushUnique( vFanins, Aig_ObjFanin1( Aig_ObjFanin0(pNode) ) );
+ Vec_PtrPushUnique( vFanins, Aig_ObjFanin1( Aig_ObjFanin1(pNode) ) );
+ Vec_PtrForEachEntry( vFanins, pFanin, k )
+ Fra_ObjAddToFrontier( p, Aig_Regular(pFanin), vFrontier );
+ Fra_AddClausesMux( p, pNode );
+ }
+ else
+ {
+ vFanins = Fra_CollectSuper( pNode, fUseMuxes );
+ Vec_PtrForEachEntry( vFanins, pFanin, k )
+ Fra_ObjAddToFrontier( p, Aig_Regular(pFanin), vFrontier );
+ Fra_AddClausesSuper( p, pNode, vFanins );
+ }
+ assert( Vec_PtrSize(vFanins) > 1 );
+ Fra_ObjSetFaninVec( pNode, vFanins );
+ }
+ Vec_PtrFree( vFrontier );
+}
+
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/fra/fraCore.c b/src/aig/fra/fraCore.c
new file mode 100644
index 00000000..ad73501f
--- /dev/null
+++ b/src/aig/fra/fraCore.c
@@ -0,0 +1,433 @@
+/**CFile****************************************************************
+
+ FileName [fraCore.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [New FRAIG package.]
+
+ Synopsis []
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - June 30, 2007.]
+
+ Revision [$Id: fraCore.c,v 1.00 2007/06/30 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "fra.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/*
+ Speculating reduction in the sequential case leads to an interesting
+ situation when a counter-ex may not refine any classes. This happens
+ for non-constant equivalence classes. In such cases the representative
+ of the class (proved by simulation to be non-constant) may be reduced
+ to a constant during the speculative reduction. The fraig-representative
+ of this representative node is a constant node, even though this is a
+ non-constant class. Experiments have shown that this situation happens
+ very often at the beginning of the refinement iteration when there are
+ many spurious candidate equivalence classes (especially if heavy-duty
+ simulatation of BMC was node used at the beginning). As a result, the
+ SAT solver run may return a counter-ex that distinguishes the given
+ representative node from the constant-1 node but this counter-ex
+ does not distinguish the nodes in the non-costant class... This is why
+ there is no check of refinment after a counter-ex in the sequential case.
+*/
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Reports the status of the miter.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fra_FraigMiterStatus( Aig_Man_t * p )
+{
+ Aig_Obj_t * pObj, * pObjNew;
+ int i, CountConst0 = 0, CountNonConst0 = 0, CountUndecided = 0;
+ if ( p->pData )
+ return 0;
+ Aig_ManForEachPoSeq( p, pObj, i )
+ {
+ pObjNew = Aig_ObjChild0(pObj);
+ // check if the output is constant 0
+ if ( pObjNew == Aig_ManConst0(p) )
+ {
+ CountConst0++;
+ continue;
+ }
+ // check if the output is constant 1
+ if ( pObjNew == Aig_ManConst1(p) )
+ {
+ CountNonConst0++;
+ continue;
+ }
+ // check if the output can be not constant 0
+ if ( Aig_Regular(pObjNew)->fPhase != (unsigned)Aig_IsComplement(pObjNew) )
+ {
+ CountNonConst0++;
+ continue;
+ }
+ CountUndecided++;
+ }
+/*
+ if ( p->pParams->fVerbose )
+ {
+ printf( "Miter has %d outputs. ", Aig_ManPoNum(p->pManAig) );
+ printf( "Const0 = %d. ", CountConst0 );
+ printf( "NonConst0 = %d. ", CountNonConst0 );
+ printf( "Undecided = %d. ", CountUndecided );
+ printf( "\n" );
+ }
+*/
+ if ( CountNonConst0 )
+ return 0;
+ if ( CountUndecided )
+ return -1;
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Write speculative miter for one node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline void Fra_FraigNodeSpeculate( Fra_Man_t * p, Aig_Obj_t * pObj, Aig_Obj_t * pObjFraig, Aig_Obj_t * pObjReprFraig )
+{
+ static int Counter = 0;
+ char FileName[20];
+ Aig_Man_t * pTemp;
+ Aig_Obj_t * pNode;
+ int i;
+ // create manager with the logic for these two nodes
+ pTemp = Aig_ManExtractMiter( p->pManFraig, pObjFraig, pObjReprFraig );
+ // dump the logic into a file
+ sprintf( FileName, "aig\\%03d.blif", ++Counter );
+ Aig_ManDumpBlif( pTemp, FileName );
+ printf( "Speculation cone with %d nodes was written into file \"%s\".\n", Aig_ManNodeNum(pTemp), FileName );
+ // clean up
+ Aig_ManStop( pTemp );
+ Aig_ManForEachObj( p->pManFraig, pNode, i )
+ pNode->pData = p;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Verifies the generated counter-ex.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_FraigVerifyCounterEx( Fra_Man_t * p, Vec_Int_t * vCex )
+{
+ Aig_Obj_t * pObj, ** ppClass;
+ int i, c;
+ assert( Aig_ManPiNum(p->pManAig) == Vec_IntSize(vCex) );
+ // make sure the input pattern is not used
+ Aig_ManForEachObj( p->pManAig, pObj, i )
+ assert( !pObj->fMarkB );
+ // simulate the cex through the AIG
+ Aig_ManConst1(p->pManAig)->fMarkB = 1;
+ Aig_ManForEachPi( p->pManAig, pObj, i )
+ pObj->fMarkB = Vec_IntEntry(vCex, i);
+ Aig_ManForEachNode( p->pManAig, pObj, i )
+ pObj->fMarkB = (Aig_ObjFanin0(pObj)->fMarkB ^ Aig_ObjFaninC0(pObj)) &
+ (Aig_ObjFanin1(pObj)->fMarkB ^ Aig_ObjFaninC1(pObj));
+ Aig_ManForEachPo( p->pManAig, pObj, i )
+ pObj->fMarkB = Aig_ObjFanin0(pObj)->fMarkB ^ Aig_ObjFaninC0(pObj);
+ // check if the classes hold
+ Vec_PtrForEachEntry( p->pCla->vClasses1, pObj, i )
+ {
+ if ( pObj->fPhase != pObj->fMarkB )
+ printf( "The node %d is not constant under cex!\n", pObj->Id );
+ }
+ Vec_PtrForEachEntry( p->pCla->vClasses, ppClass, i )
+ {
+ for ( c = 1; ppClass[c]; c++ )
+ if ( (ppClass[0]->fPhase ^ ppClass[c]->fPhase) != (ppClass[0]->fMarkB ^ ppClass[c]->fMarkB) )
+ printf( "The nodes %d and %d are not equal under cex!\n", ppClass[0]->Id, ppClass[c]->Id );
+// for ( c = 0; ppClass[c]; c++ )
+// if ( Fra_ObjFraig(ppClass[c],p->pPars->nFramesK) == Aig_ManConst1(p->pManFraig) )
+// printf( "A member of non-constant class has a constant repr!\n" );
+ }
+ // clean the simulation pattern
+ Aig_ManForEachObj( p->pManAig, pObj, i )
+ pObj->fMarkB = 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs fraiging for one node.]
+
+ Description [Returns the fraiged node.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline void Fra_FraigNode( Fra_Man_t * p, Aig_Obj_t * pObj )
+{
+ Aig_Obj_t * pObjRepr, * pObjFraig, * pObjFraig2, * pObjReprFraig;
+ int RetValue;
+ assert( !Aig_IsComplement(pObj) );
+ // get representative of this class
+ pObjRepr = Fra_ClassObjRepr( pObj );
+ if ( pObjRepr == NULL || // this is a unique node
+ (!p->pPars->fDoSparse && pObjRepr == Aig_ManConst1(p->pManAig)) ) // this is a sparse node
+ return;
+ // get the fraiged node
+ pObjFraig = Fra_ObjFraig( pObj, p->pPars->nFramesK );
+ // get the fraiged representative
+ pObjReprFraig = Fra_ObjFraig( pObjRepr, p->pPars->nFramesK );
+ // if the fraiged nodes are the same, return
+ if ( Aig_Regular(pObjFraig) == Aig_Regular(pObjReprFraig) )
+ {
+ p->nSatCallsSkipped++;
+ return;
+ }
+ assert( p->pPars->nFramesK || Aig_Regular(pObjFraig) != Aig_ManConst1(p->pManFraig) );
+ // if they are proved different, the c-ex will be in p->pPatWords
+ RetValue = Fra_NodesAreEquiv( p, Aig_Regular(pObjReprFraig), Aig_Regular(pObjFraig) );
+ if ( RetValue == 1 ) // proved equivalent
+ {
+// if ( p->pPars->fChoicing )
+// Aig_ObjCreateRepr( p->pManFraig, Aig_Regular(pObjReprFraig), Aig_Regular(pObjFraig) );
+ // the nodes proved equal
+ pObjFraig2 = Aig_NotCond( pObjReprFraig, pObj->fPhase ^ pObjRepr->fPhase );
+ Fra_ObjSetFraig( pObj, p->pPars->nFramesK, pObjFraig2 );
+ return;
+ }
+ if ( RetValue == -1 ) // failed
+ {
+ if ( p->vTimeouts == NULL )
+ p->vTimeouts = Vec_PtrAlloc( 100 );
+ Vec_PtrPush( p->vTimeouts, pObj );
+ if ( !p->pPars->fSpeculate )
+ return;
+ assert( 0 );
+ // speculate
+ p->nSpeculs++;
+ pObjFraig2 = Aig_NotCond( pObjReprFraig, pObj->fPhase ^ pObjRepr->fPhase );
+ Fra_ObjSetFraig( pObj, p->pPars->nFramesK, pObjFraig2 );
+ Fra_FraigNodeSpeculate( p, pObj, Aig_Regular(pObjFraig), Aig_Regular(pObjReprFraig) );
+ return;
+ }
+ // disprove the nodes
+ p->pCla->fRefinement = 1;
+ // if we do not include the node into those disproved, we may end up
+ // merging this node with another representative, for which proof has timed out
+ if ( p->vTimeouts )
+ Vec_PtrPush( p->vTimeouts, pObj );
+ // verify that the counter-example satisfies all the constraints
+// if ( p->vCex )
+// Fra_FraigVerifyCounterEx( p, p->vCex );
+ // simulate the counter-example and return the Fraig node
+ Fra_SmlResimulate( p );
+ if ( !p->pPars->nFramesK && Fra_ClassObjRepr(pObj) == pObjRepr )
+ printf( "Fra_FraigNode(): Error in class refinement!\n" );
+ assert( p->pPars->nFramesK || Fra_ClassObjRepr(pObj) != pObjRepr );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs fraiging for the internal nodes.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_FraigSweep( Fra_Man_t * p )
+{
+// Bar_Progress_t * pProgress = NULL;
+ Aig_Obj_t * pObj, * pObjNew;
+ int i, Pos = 0;
+ // fraig latch outputs
+ Aig_ManForEachLoSeq( p->pManAig, pObj, i )
+ {
+ Fra_FraigNode( p, pObj );
+ if ( p->pPars->fUseImps )
+ Pos = Fra_ImpCheckForNode( p, p->pCla->vImps, pObj, Pos );
+ }
+ if ( p->pPars->fLatchCorr )
+ return;
+ // fraig internal nodes
+// if ( !p->pPars->fDontShowBar )
+// pProgress = Bar_ProgressStart( stdout, Aig_ManObjNumMax(p->pManAig) );
+ Aig_ManForEachNode( p->pManAig, pObj, i )
+ {
+// if ( pProgress )
+// Bar_ProgressUpdate( pProgress, i, NULL );
+ // derive and remember the new fraig node
+ pObjNew = Aig_And( p->pManFraig, Fra_ObjChild0Fra(pObj,p->pPars->nFramesK), Fra_ObjChild1Fra(pObj,p->pPars->nFramesK) );
+ Fra_ObjSetFraig( pObj, p->pPars->nFramesK, pObjNew );
+ Aig_Regular(pObjNew)->pData = p;
+ // quit if simulation detected a counter-example for a PO
+ if ( p->pManFraig->pData )
+ continue;
+ // perform fraiging
+ Fra_FraigNode( p, pObj );
+ if ( p->pPars->fUseImps )
+ Pos = Fra_ImpCheckForNode( p, p->pCla->vImps, pObj, Pos );
+ }
+// if ( pProgress )
+// Bar_ProgressStop( pProgress );
+ // try to prove the outputs of the miter
+ p->nNodesMiter = Aig_ManNodeNum(p->pManFraig);
+// Fra_MiterStatus( p->pManFraig );
+// if ( p->pPars->fProve && p->pManFraig->pData == NULL )
+// Fra_MiterProve( p );
+ // compress implications after processing all of them
+ if ( p->pPars->fUseImps )
+ Fra_ImpCompactArray( p->pCla->vImps );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs fraiging of the AIG.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Man_t * Fra_FraigPerform( Aig_Man_t * pManAig, Fra_Par_t * pPars )
+{
+ Fra_Man_t * p;
+ Aig_Man_t * pManAigNew;
+ int clk;
+ if ( Aig_ManNodeNum(pManAig) == 0 )
+ return Aig_ManDup(pManAig, 1);
+clk = clock();
+ assert( Aig_ManLatchNum(pManAig) == 0 );
+ p = Fra_ManStart( pManAig, pPars );
+ p->pManFraig = Fra_ManPrepareComb( p );
+ p->pSml = Fra_SmlStart( pManAig, 0, 1, pPars->nSimWords );
+ Fra_SmlSimulate( p, 0 );
+// if ( p->pPars->fChoicing )
+// Aig_ManReprStart( p->pManFraig, Aig_ManObjNumMax(p->pManAig) );
+ // collect initial states
+ p->nLitsBeg = Fra_ClassesCountLits( p->pCla );
+ p->nNodesBeg = Aig_ManNodeNum(pManAig);
+ p->nRegsBeg = Aig_ManRegNum(pManAig);
+ // perform fraig sweep
+ Fra_FraigSweep( p );
+ // call back the procedure to check implications
+ if ( pManAig->pImpFunc )
+ pManAig->pImpFunc( p, pManAig->pImpData );
+ // finalize the fraiged manager
+ Fra_ManFinalizeComb( p );
+ if ( p->pPars->fChoicing )
+ {
+int clk2 = clock();
+ Fra_ClassesCopyReprs( p->pCla, p->vTimeouts );
+ pManAigNew = Aig_ManDupRepr( p->pManAig, 1 );
+ Aig_ManReprStart( pManAigNew, Aig_ManObjNumMax(pManAigNew) );
+ Aig_ManTransferRepr( pManAigNew, p->pManAig );
+ Aig_ManMarkValidChoices( pManAigNew );
+ Aig_ManStop( p->pManFraig );
+ p->pManFraig = NULL;
+p->timeTrav += clock() - clk2;
+ }
+ else
+ {
+ Aig_ManCleanup( p->pManFraig );
+ pManAigNew = p->pManFraig;
+ p->pManFraig = NULL;
+ }
+p->timeTotal = clock() - clk;
+ // collect final stats
+ p->nLitsEnd = Fra_ClassesCountLits( p->pCla );
+ p->nNodesEnd = Aig_ManNodeNum(pManAigNew);
+ p->nRegsEnd = Aig_ManRegNum(pManAigNew);
+ Fra_ManStop( p );
+ return pManAigNew;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs choicing of the AIG.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Man_t * Fra_FraigChoice( Aig_Man_t * pManAig, int nConfMax )
+{
+ Fra_Par_t Pars, * pPars = &Pars;
+ Fra_ParamsDefault( pPars );
+ pPars->nBTLimitNode = nConfMax;
+ pPars->fChoicing = 1;
+ pPars->fDoSparse = 1;
+ pPars->fSpeculate = 0;
+ pPars->fProve = 0;
+ pPars->fVerbose = 0;
+ pPars->fDontShowBar = 1;
+ return Fra_FraigPerform( pManAig, pPars );
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Man_t * Fra_FraigEquivence( Aig_Man_t * pManAig, int nConfMax )
+{
+ Aig_Man_t * pFraig;
+ Fra_Par_t Pars, * pPars = &Pars;
+ Fra_ParamsDefault( pPars );
+ pPars->nBTLimitNode = nConfMax;
+ pPars->fChoicing = 0;
+ pPars->fDoSparse = 1;
+ pPars->fSpeculate = 0;
+ pPars->fProve = 0;
+ pPars->fVerbose = 0;
+ pPars->fDontShowBar = 1;
+ pFraig = Fra_FraigPerform( pManAig, pPars );
+ return pFraig;
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/fra/fraImp.c b/src/aig/fra/fraImp.c
new file mode 100644
index 00000000..a5fc7d58
--- /dev/null
+++ b/src/aig/fra/fraImp.c
@@ -0,0 +1,721 @@
+/**CFile****************************************************************
+
+ FileName [fraImp.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [New FRAIG package.]
+
+ Synopsis [Detecting and proving implications.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - June 30, 2007.]
+
+ Revision [$Id: fraImp.c,v 1.00 2007/06/30 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "fra.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Counts the number of 1s in each siminfo of each node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int Fra_SmlCountOnesOne( Fra_Sml_t * p, int Node )
+{
+ unsigned * pSim;
+ int k, Counter = 0;
+ pSim = Fra_ObjSim( p, Node );
+ for ( k = p->nWordsPref; k < p->nWordsTotal; k++ )
+ Counter += Aig_WordCountOnes( pSim[k] );
+ return Counter;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Counts the number of 1s in each siminfo of each node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int * Fra_SmlCountOnes( Fra_Sml_t * p )
+{
+ Aig_Obj_t * pObj;
+ int i, * pnBits;
+ pnBits = ALLOC( int, Aig_ManObjNumMax(p->pAig) );
+ memset( pnBits, 0, sizeof(int) * Aig_ManObjNumMax(p->pAig) );
+ Aig_ManForEachObj( p->pAig, pObj, i )
+ pnBits[i] = Fra_SmlCountOnesOne( p, i );
+ return pnBits;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns 1 if implications holds.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int Sml_NodeCheckImp( Fra_Sml_t * p, int Left, int Right )
+{
+ unsigned * pSimL, * pSimR;
+ int k;
+ pSimL = Fra_ObjSim( p, Left );
+ pSimR = Fra_ObjSim( p, Right );
+ for ( k = p->nWordsPref; k < p->nWordsTotal; k++ )
+ if ( pSimL[k] & ~pSimR[k] )
+ return 0;
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Counts the number of 1s in the complement of the implication.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int Sml_NodeNotImpWeight( Fra_Sml_t * p, int Left, int Right )
+{
+ unsigned * pSimL, * pSimR;
+ int k, Counter = 0;
+ pSimL = Fra_ObjSim( p, Left );
+ pSimR = Fra_ObjSim( p, Right );
+ for ( k = p->nWordsPref; k < p->nWordsTotal; k++ )
+ Counter += Aig_WordCountOnes( pSimL[k] & ~pSimR[k] );
+ return Counter;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes the complement of the implication.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline void Sml_NodeSaveNotImpPatterns( Fra_Sml_t * p, int Left, int Right, unsigned * pResult )
+{
+ unsigned * pSimL, * pSimR;
+ int k;
+ pSimL = Fra_ObjSim( p, Left );
+ pSimR = Fra_ObjSim( p, Right );
+ for ( k = p->nWordsPref; k < p->nWordsTotal; k++ )
+ pResult[k] |= pSimL[k] & ~pSimR[k];
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns the array of nodes sorted by the number of 1s.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Vec_Ptr_t * Fra_SmlSortUsingOnes( Fra_Sml_t * p, int fLatchCorr )
+{
+ Aig_Obj_t * pObj;
+ Vec_Ptr_t * vNodes;
+ int i, nNodes, nTotal, nBits, * pnNodes, * pnBits, * pMemory;
+ assert( p->nWordsTotal > 0 );
+ // count 1s in each node's siminfo
+ pnBits = Fra_SmlCountOnes( p );
+ // count number of nodes having that many 1s
+ nNodes = 0;
+ nBits = p->nWordsTotal * 32;
+ pnNodes = ALLOC( int, nBits + 1 );
+ memset( pnNodes, 0, sizeof(int) * (nBits + 1) );
+ Aig_ManForEachObj( p->pAig, pObj, i )
+ {
+ if ( i == 0 ) continue;
+ // skip non-PI and non-internal nodes
+ if ( fLatchCorr )
+ {
+ if ( !Aig_ObjIsPi(pObj) )
+ continue;
+ }
+ else
+ {
+ if ( !Aig_ObjIsNode(pObj) && !Aig_ObjIsPi(pObj) )
+ continue;
+ }
+ // skip nodes participating in the classes
+// if ( Fra_ClassObjRepr(pObj) )
+// continue;
+ assert( pnBits[i] <= nBits ); // "<" because of normalized info
+ pnNodes[pnBits[i]]++;
+ nNodes++;
+ }
+ // allocate memory for all the nodes
+ pMemory = ALLOC( int, nNodes + nBits + 1 );
+ // markup the memory for each node
+ vNodes = Vec_PtrAlloc( nBits + 1 );
+ Vec_PtrPush( vNodes, pMemory );
+ for ( i = 1; i <= nBits; i++ )
+ {
+ pMemory += pnNodes[i-1] + 1;
+ Vec_PtrPush( vNodes, pMemory );
+ }
+ // add the nodes
+ memset( pnNodes, 0, sizeof(int) * (nBits + 1) );
+ Aig_ManForEachObj( p->pAig, pObj, i )
+ {
+ if ( i == 0 ) continue;
+ // skip non-PI and non-internal nodes
+ if ( fLatchCorr )
+ {
+ if ( !Aig_ObjIsPi(pObj) )
+ continue;
+ }
+ else
+ {
+ if ( !Aig_ObjIsNode(pObj) && !Aig_ObjIsPi(pObj) )
+ continue;
+ }
+ // skip nodes participating in the classes
+// if ( Fra_ClassObjRepr(pObj) )
+// continue;
+ pMemory = Vec_PtrEntry( vNodes, pnBits[i] );
+ pMemory[ pnNodes[pnBits[i]]++ ] = i;
+ }
+ // add 0s in the end
+ nTotal = 0;
+ Vec_PtrForEachEntry( vNodes, pMemory, i )
+ {
+ pMemory[ pnNodes[i]++ ] = 0;
+ nTotal += pnNodes[i];
+ }
+ assert( nTotal == nNodes + nBits + 1 );
+ free( pnNodes );
+ free( pnBits );
+ return vNodes;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns the array of implications with the highest cost.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Vec_Int_t * Fra_SmlSelectMaxCost( Vec_Int_t * vImps, int * pCosts, int nCostMax, int nImpLimit, int * pCostRange )
+{
+ Vec_Int_t * vImpsNew;
+ int * pCostCount, nImpCount, Imp, i, c;
+ assert( Vec_IntSize(vImps) >= nImpLimit );
+ // count how many implications have each cost
+ pCostCount = ALLOC( int, nCostMax + 1 );
+ memset( pCostCount, 0, sizeof(int) * (nCostMax + 1) );
+ for ( i = 0; i < Vec_IntSize(vImps); i++ )
+ {
+ assert( pCosts[i] <= nCostMax );
+ pCostCount[ pCosts[i] ]++;
+ }
+ assert( pCostCount[0] == 0 );
+ // select the bound on the cost (above this bound, implication will be included)
+ nImpCount = 0;
+ for ( c = nCostMax; c > 0; c-- )
+ {
+ nImpCount += pCostCount[c];
+ if ( nImpCount >= nImpLimit )
+ break;
+ }
+// printf( "Cost range >= %d.\n", c );
+ // collect implications with the given costs
+ vImpsNew = Vec_IntAlloc( nImpLimit );
+ Vec_IntForEachEntry( vImps, Imp, i )
+ {
+ if ( pCosts[i] < c )
+ continue;
+ Vec_IntPush( vImpsNew, Imp );
+ if ( Vec_IntSize( vImpsNew ) == nImpLimit )
+ break;
+ }
+ free( pCostCount );
+ if ( pCostRange )
+ *pCostRange = c;
+ return vImpsNew;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Compares two implications using their largest ID.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Sml_CompareMaxId( unsigned short * pImp1, unsigned short * pImp2 )
+{
+ int Max1 = AIG_MAX( pImp1[0], pImp1[1] );
+ int Max2 = AIG_MAX( pImp2[0], pImp2[1] );
+ if ( Max1 < Max2 )
+ return -1;
+ if ( Max1 > Max2 )
+ return 1;
+ return 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Derives implication candidates.]
+
+ Description [Implication candidates have the property that
+ (1) they hold using sequential simulation information
+ (2) they do not hold using combinational simulation information
+ (3) they have as high expressive power as possible (heuristically)
+ that is, they are easy to disprove combinationally
+ meaning they cover relatively larger sequential subspace.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Vec_Int_t * Fra_ImpDerive( Fra_Man_t * p, int nImpMaxLimit, int nImpUseLimit, int fLatchCorr )
+{
+ int nSimWords = 64;
+ Fra_Sml_t * pSeq, * pComb;
+ Vec_Int_t * vImps, * vTemp;
+ Vec_Ptr_t * vNodes;
+ int * pImpCosts, * pNodesI, * pNodesK;
+ int nImpsTotal = 0, nImpsTried = 0, nImpsNonSeq = 0, nImpsComb = 0, nImpsCollected = 0;
+ int CostMin = AIG_INFINITY, CostMax = 0;
+ int i, k, Imp, CostRange, clk = clock();
+ assert( Aig_ManObjNumMax(p->pManAig) < (1 << 15) );
+ assert( nImpMaxLimit > 0 && nImpUseLimit > 0 && nImpUseLimit <= nImpMaxLimit );
+ // normalize both managers
+ pComb = Fra_SmlSimulateComb( p->pManAig, nSimWords );
+ pSeq = Fra_SmlSimulateSeq( p->pManAig, p->pPars->nFramesP, nSimWords, 1 );
+ // get the nodes sorted by the number of 1s
+ vNodes = Fra_SmlSortUsingOnes( pSeq, fLatchCorr );
+ // count the total number of implications
+ for ( k = nSimWords * 32; k > 0; k-- )
+ for ( i = k - 1; i > 0; i-- )
+ for ( pNodesI = Vec_PtrEntry( vNodes, i ); *pNodesI; pNodesI++ )
+ for ( pNodesK = Vec_PtrEntry( vNodes, k ); *pNodesK; pNodesK++ )
+ nImpsTotal++;
+
+ // compute implications and their costs
+ pImpCosts = ALLOC( int, nImpMaxLimit );
+ vImps = Vec_IntAlloc( nImpMaxLimit );
+ for ( k = pSeq->nWordsTotal * 32; k > 0; k-- )
+ for ( i = k - 1; i > 0; i-- )
+ {
+ for ( pNodesI = Vec_PtrEntry( vNodes, i ); *pNodesI; pNodesI++ )
+ for ( pNodesK = Vec_PtrEntry( vNodes, k ); *pNodesK; pNodesK++ )
+ {
+ nImpsTried++;
+ if ( !Sml_NodeCheckImp(pSeq, *pNodesI, *pNodesK) )
+ {
+ nImpsNonSeq++;
+ continue;
+ }
+ if ( Sml_NodeCheckImp(pComb, *pNodesI, *pNodesK) )
+ {
+ nImpsComb++;
+ continue;
+ }
+ nImpsCollected++;
+ Imp = Fra_ImpCreate( *pNodesI, *pNodesK );
+ pImpCosts[ Vec_IntSize(vImps) ] = Sml_NodeNotImpWeight(pComb, *pNodesI, *pNodesK);
+ CostMin = AIG_MIN( CostMin, pImpCosts[ Vec_IntSize(vImps) ] );
+ CostMax = AIG_MAX( CostMax, pImpCosts[ Vec_IntSize(vImps) ] );
+ Vec_IntPush( vImps, Imp );
+ if ( Vec_IntSize(vImps) == nImpMaxLimit )
+ goto finish;
+ }
+ }
+finish:
+ Fra_SmlStop( pComb );
+ Fra_SmlStop( pSeq );
+
+ // select implications with the highest cost
+ CostRange = CostMin;
+ if ( Vec_IntSize(vImps) > nImpUseLimit )
+ {
+ vImps = Fra_SmlSelectMaxCost( vTemp = vImps, pImpCosts, nSimWords * 32, nImpUseLimit, &CostRange );
+ Vec_IntFree( vTemp );
+ }
+
+ // dealloc
+ free( pImpCosts );
+ free( Vec_PtrEntry(vNodes, 0) );
+ Vec_PtrFree( vNodes );
+ // reorder implications topologically
+ qsort( (void *)Vec_IntArray(vImps), Vec_IntSize(vImps), sizeof(int),
+ (int (*)(const void *, const void *)) Sml_CompareMaxId );
+if ( p->pPars->fVerbose )
+{
+printf( "Implications: All = %d. Try = %d. NonSeq = %d. Comb = %d. Res = %d.\n",
+ nImpsTotal, nImpsTried, nImpsNonSeq, nImpsComb, nImpsCollected );
+printf( "Implication weight: Min = %d. Pivot = %d. Max = %d. ",
+ CostMin, CostRange, CostMax );
+PRT( "Time", clock() - clk );
+}
+ return vImps;
+}
+
+
+// the following three procedures are called to
+// - add implications to the SAT solver
+// - check implications using the SAT solver
+// - refine implications using after a cex is generated
+
+/**Function*************************************************************
+
+ Synopsis [Add implication clauses to the SAT solver.]
+
+ Description [Note that implications should be checked in the first frame!]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_ImpAddToSolver( Fra_Man_t * p, Vec_Int_t * vImps, int * pSatVarNums )
+{
+ sat_solver * pSat = p->pSat;
+ Aig_Obj_t * pLeft, * pRight;
+ Aig_Obj_t * pLeftF, * pRightF;
+ int pLits[2], Imp, Left, Right, i, f, status;
+ int fComplL, fComplR;
+ Vec_IntForEachEntry( vImps, Imp, i )
+ {
+ // get the corresponding nodes
+ pLeft = Aig_ManObj( p->pManAig, Fra_ImpLeft(Imp) );
+ pRight = Aig_ManObj( p->pManAig, Fra_ImpRight(Imp) );
+ // check if all the nodes are present
+ for ( f = 0; f < p->pPars->nFramesK; f++ )
+ {
+ // map these info fraig
+ pLeftF = Fra_ObjFraig( pLeft, f );
+ pRightF = Fra_ObjFraig( pRight, f );
+ if ( Aig_ObjIsNone(Aig_Regular(pLeftF)) || Aig_ObjIsNone(Aig_Regular(pRightF)) )
+ {
+ Vec_IntWriteEntry( vImps, i, 0 );
+ break;
+ }
+ }
+ if ( f < p->pPars->nFramesK )
+ continue;
+ // add constraints in each timeframe
+ for ( f = 0; f < p->pPars->nFramesK; f++ )
+ {
+ // map these info fraig
+ pLeftF = Fra_ObjFraig( pLeft, f );
+ pRightF = Fra_ObjFraig( pRight, f );
+ // get the corresponding SAT numbers
+ Left = pSatVarNums[ Aig_Regular(pLeftF)->Id ];
+ Right = pSatVarNums[ Aig_Regular(pRightF)->Id ];
+ assert( Left > 0 && Left < p->nSatVars );
+ assert( Right > 0 && Right < p->nSatVars );
+ // get the complemented attributes
+ fComplL = pLeft->fPhase ^ Aig_IsComplement(pLeftF);
+ fComplR = pRight->fPhase ^ Aig_IsComplement(pRightF);
+ // get the constraint
+ // L => R L' v R (complement = L & R')
+ pLits[0] = 2 * Left + !fComplL;
+ pLits[1] = 2 * Right + fComplR;
+ // add contraint to solver
+ if ( !sat_solver_addclause( pSat, pLits, pLits + 2 ) )
+ {
+ sat_solver_delete( pSat );
+ p->pSat = NULL;
+ return;
+ }
+ }
+ }
+ status = sat_solver_simplify(pSat);
+ if ( status == 0 )
+ {
+ sat_solver_delete( pSat );
+ p->pSat = NULL;
+ }
+// printf( "Total imps = %d. ", Vec_IntSize(vImps) );
+ Fra_ImpCompactArray( vImps );
+// printf( "Valid imps = %d. \n", Vec_IntSize(vImps) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Check implications for the node (if they are present).]
+
+ Description [Returns the new position in the array.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fra_ImpCheckForNode( Fra_Man_t * p, Vec_Int_t * vImps, Aig_Obj_t * pNode, int Pos )
+{
+ Aig_Obj_t * pLeft, * pRight;
+ Aig_Obj_t * pLeftF, * pRightF;
+ int i, Imp, Left, Right, Max, RetValue;
+ int fComplL, fComplR;
+ Vec_IntForEachEntryStart( vImps, Imp, i, Pos )
+ {
+ if ( Imp == 0 )
+ continue;
+ Left = Fra_ImpLeft(Imp);
+ Right = Fra_ImpRight(Imp);
+ Max = AIG_MAX( Left, Right );
+ assert( Max >= pNode->Id );
+ if ( Max > pNode->Id )
+ return i;
+ // get the corresponding nodes
+ pLeft = Aig_ManObj( p->pManAig, Left );
+ pRight = Aig_ManObj( p->pManAig, Right );
+ // get the corresponding FRAIG nodes
+ pLeftF = Fra_ObjFraig( pLeft, p->pPars->nFramesK );
+ pRightF = Fra_ObjFraig( pRight, p->pPars->nFramesK );
+ // get the complemented attributes
+ fComplL = pLeft->fPhase ^ Aig_IsComplement(pLeftF);
+ fComplR = pRight->fPhase ^ Aig_IsComplement(pRightF);
+ // check equality
+ if ( Aig_Regular(pLeftF) == Aig_Regular(pRightF) )
+ {
+ if ( fComplL == fComplR ) // x => x - always true
+ continue;
+ assert( fComplL != fComplR );
+ // consider 4 possibilities:
+ // NOT(1) => 1 or 0 => 1 - always true
+ // 1 => NOT(1) or 1 => 0 - never true
+ // NOT(x) => x or x - not always true
+ // x => NOT(x) or NOT(x) - not always true
+ if ( Aig_ObjIsConst1(Aig_Regular(pLeftF)) && fComplL ) // proved implication
+ continue;
+ // disproved implication
+ p->pCla->fRefinement = 1;
+ Vec_IntWriteEntry( vImps, i, 0 );
+ continue;
+ }
+ // check the implication
+ // - if true, a clause is added
+ // - if false, a cex is simulated
+ // make sure the implication is refined
+ RetValue = Fra_NodesAreImp( p, Aig_Regular(pLeftF), Aig_Regular(pRightF), fComplL, fComplR );
+ if ( RetValue != 1 )
+ {
+ p->pCla->fRefinement = 1;
+ if ( RetValue == 0 )
+ Fra_SmlResimulate( p );
+ if ( Vec_IntEntry(vImps, i) != 0 )
+ printf( "Fra_ImpCheckForNode(): Implication is not refined!\n" );
+ assert( Vec_IntEntry(vImps, i) == 0 );
+ }
+ }
+ return i;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Removes those implications that no longer hold.]
+
+ Description [Returns 1 if refinement has happened.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fra_ImpRefineUsingCex( Fra_Man_t * p, Vec_Int_t * vImps )
+{
+ Aig_Obj_t * pLeft, * pRight;
+ int Imp, i, RetValue = 0;
+ Vec_IntForEachEntry( vImps, Imp, i )
+ {
+ if ( Imp == 0 )
+ continue;
+ // get the corresponding nodes
+ pLeft = Aig_ManObj( p->pManAig, Fra_ImpLeft(Imp) );
+ pRight = Aig_ManObj( p->pManAig, Fra_ImpRight(Imp) );
+ // check if implication holds using this simulation info
+ if ( !Sml_NodeCheckImp(p->pSml, pLeft->Id, pRight->Id) )
+ {
+ Vec_IntWriteEntry( vImps, i, 0 );
+ RetValue = 1;
+ }
+ }
+ return RetValue;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Removes empty implications.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_ImpCompactArray( Vec_Int_t * vImps )
+{
+ int i, k, Imp;
+ k = 0;
+ Vec_IntForEachEntry( vImps, Imp, i )
+ if ( Imp )
+ Vec_IntWriteEntry( vImps, k++, Imp );
+ Vec_IntShrink( vImps, k );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Determines the ratio of the state space by computed implications.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+double Fra_ImpComputeStateSpaceRatio( Fra_Man_t * p )
+{
+ int nSimWords = 64;
+ Fra_Sml_t * pComb;
+ unsigned * pResult;
+ double Ratio = 0.0;
+ int Left, Right, Imp, i;
+ if ( p->pCla->vImps == NULL || Vec_IntSize(p->pCla->vImps) == 0 )
+ return Ratio;
+ // simulate the AIG manager with combinational patterns
+ pComb = Fra_SmlSimulateComb( p->pManAig, nSimWords );
+ // go through the implications and collect where they do not hold
+ pResult = Fra_ObjSim( pComb, 0 );
+ assert( pResult[0] == 0 );
+ Vec_IntForEachEntry( p->pCla->vImps, Imp, i )
+ {
+ Left = Fra_ImpLeft(Imp);
+ Right = Fra_ImpRight(Imp);
+ Sml_NodeSaveNotImpPatterns( pComb, Left, Right, pResult );
+ }
+ // count the number of ones in this area
+ Ratio = 100.0 * Fra_SmlCountOnesOne( pComb, 0 ) / (32*(pComb->nWordsTotal-pComb->nWordsPref));
+ Fra_SmlStop( pComb );
+ return Ratio;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns the number of failed implications.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fra_ImpVerifyUsingSimulation( Fra_Man_t * p )
+{
+ int nFrames = 2000;
+ int nSimWords = 8;
+ Fra_Sml_t * pSeq;
+ char * pfFails;
+ int Left, Right, Imp, i, Counter;
+ if ( p->pCla->vImps == NULL || Vec_IntSize(p->pCla->vImps) == 0 )
+ return 0;
+ // simulate the AIG manager with combinational patterns
+ pSeq = Fra_SmlSimulateSeq( p->pManAig, p->pPars->nFramesP, nFrames, nSimWords );
+ // go through the implications and check how many of them do not hold
+ pfFails = ALLOC( char, Vec_IntSize(p->pCla->vImps) );
+ memset( pfFails, 0, sizeof(char) * Vec_IntSize(p->pCla->vImps) );
+ Vec_IntForEachEntry( p->pCla->vImps, Imp, i )
+ {
+ Left = Fra_ImpLeft(Imp);
+ Right = Fra_ImpRight(Imp);
+ pfFails[i] = !Sml_NodeCheckImp( pSeq, Left, Right );
+ }
+ // count how many has failed
+ Counter = 0;
+ for ( i = 0; i < Vec_IntSize(p->pCla->vImps); i++ )
+ Counter += pfFails[i];
+ free( pfFails );
+ Fra_SmlStop( pSeq );
+ return Counter;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Record proven implications in the AIG manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_ImpRecordInManager( Fra_Man_t * p, Aig_Man_t * pNew )
+{
+ Aig_Obj_t * pLeft, * pRight, * pMiter;
+ int nPosOld, Imp, i;
+ if ( p->pCla->vImps == NULL || Vec_IntSize(p->pCla->vImps) == 0 )
+ return;
+ // go through the implication
+ nPosOld = Aig_ManPoNum(pNew);
+ Vec_IntForEachEntry( p->pCla->vImps, Imp, i )
+ {
+ pLeft = Aig_ManObj( p->pManAig, Fra_ImpLeft(Imp) );
+ pRight = Aig_ManObj( p->pManAig, Fra_ImpRight(Imp) );
+ // record the implication: L' + R
+ pMiter = Aig_Or( pNew,
+ Aig_NotCond(pLeft->pData, !pLeft->fPhase),
+ Aig_NotCond(pRight->pData, pRight->fPhase) );
+ Aig_ObjCreatePo( pNew, pMiter );
+ }
+ pNew->nAsserts = Aig_ManPoNum(pNew) - nPosOld;
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/fra/fraInd.c b/src/aig/fra/fraInd.c
new file mode 100644
index 00000000..b41b7a29
--- /dev/null
+++ b/src/aig/fra/fraInd.c
@@ -0,0 +1,478 @@
+/**CFile****************************************************************
+
+ FileName [fraInd.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [New FRAIG package.]
+
+ Synopsis [Inductive prover.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - June 30, 2007.]
+
+ Revision [$Id: fraInd.c,v 1.00 2007/06/30 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "fra.h"
+#include "cnf.h"
+#include "dar.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Performs AIG rewriting on the constaint manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_FraigInductionRewrite( Fra_Man_t * p )
+{
+ Aig_Man_t * pTemp;
+ Aig_Obj_t * pObj, * pObjPo;
+ int nTruePis, k, i, clk = clock();
+ // perform AIG rewriting on the speculated frames
+// pTemp = Dar_ManRwsat( pTemp, 1, 0 );
+ pTemp = Dar_ManRewriteDefault( p->pManFraig );
+// printf( "Before = %6d. After = %6d.\n", Aig_ManNodeNum(p->pManFraig), Aig_ManNodeNum(pTemp) );
+//Aig_ManDumpBlif( p->pManFraig, "1.blif" );
+//Aig_ManDumpBlif( pTemp, "2.blif" );
+// Fra_FramesWriteCone( pTemp );
+// Aig_ManStop( pTemp );
+ // transfer PI/register pointers
+ assert( p->pManFraig->nRegs == pTemp->nRegs );
+ assert( p->pManFraig->nAsserts == pTemp->nAsserts );
+ nTruePis = Aig_ManPiNum(p->pManAig) - Aig_ManRegNum(p->pManAig);
+ memset( p->pMemFraig, 0, sizeof(Aig_Obj_t *) * p->nSizeAlloc * p->nFramesAll );
+ Fra_ObjSetFraig( Aig_ManConst1(p->pManAig), p->pPars->nFramesK, Aig_ManConst1(pTemp) );
+ Aig_ManForEachPiSeq( p->pManAig, pObj, i )
+ Fra_ObjSetFraig( pObj, p->pPars->nFramesK, Aig_ManPi(pTemp,nTruePis*p->pPars->nFramesK+i) );
+ k = 0;
+ assert( Aig_ManRegNum(p->pManAig) == Aig_ManPoNum(pTemp) - pTemp->nAsserts );
+ Aig_ManForEachLoSeq( p->pManAig, pObj, i )
+ {
+ pObjPo = Aig_ManPo(pTemp, pTemp->nAsserts + k++);
+ Fra_ObjSetFraig( pObj, p->pPars->nFramesK, Aig_ObjChild0(pObjPo) );
+ }
+ // exchange
+ Aig_ManStop( p->pManFraig );
+ p->pManFraig = pTemp;
+p->timeRwr += clock() - clk;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs speculative reduction for one node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline void Fra_FramesConstrainNode( Aig_Man_t * pManFraig, Aig_Obj_t * pObj, int iFrame )
+{
+ Aig_Obj_t * pObjNew, * pObjNew2, * pObjRepr, * pObjReprNew, * pMiter;
+ // skip nodes without representative
+ if ( (pObjRepr = Fra_ClassObjRepr(pObj)) == NULL )
+ return;
+ assert( pObjRepr->Id < pObj->Id );
+ // get the new node
+ pObjNew = Fra_ObjFraig( pObj, iFrame );
+ // get the new node of the representative
+ pObjReprNew = Fra_ObjFraig( pObjRepr, iFrame );
+ // if this is the same node, no need to add constraints
+ if ( Aig_Regular(pObjNew) == Aig_Regular(pObjReprNew) )
+ return;
+ // these are different nodes - perform speculative reduction
+ pObjNew2 = Aig_NotCond( pObjReprNew, pObj->fPhase ^ pObjRepr->fPhase );
+ // set the new node
+ Fra_ObjSetFraig( pObj, iFrame, pObjNew2 );
+ // add the constraint
+ pMiter = Aig_Exor( pManFraig, Aig_Regular(pObjNew), Aig_Regular(pObjReprNew) );
+ pMiter = Aig_NotCond( pMiter, Aig_Regular(pMiter)->fPhase ^ Aig_IsComplement(pMiter) );
+ pMiter = Aig_Not( pMiter );
+ Aig_ObjCreatePo( pManFraig, pMiter );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Prepares the inductive case with speculative reduction.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Man_t * Fra_FramesWithClasses( Fra_Man_t * p )
+{
+ Aig_Man_t * pManFraig;
+ Aig_Obj_t * pObj, * pObjLi, * pObjLo, * pObjNew;
+ int i, k, f;
+ assert( p->pManFraig == NULL );
+ assert( Aig_ManRegNum(p->pManAig) > 0 );
+ assert( Aig_ManRegNum(p->pManAig) < Aig_ManPiNum(p->pManAig) );
+
+ // start the fraig package
+ pManFraig = Aig_ManStart( Aig_ManObjNumMax(p->pManAig) * p->nFramesAll );
+ pManFraig->pName = Aig_UtilStrsav( p->pManAig->pName );
+ pManFraig->nRegs = p->pManAig->nRegs;
+ // create PI nodes for the frames
+ for ( f = 0; f < p->nFramesAll; f++ )
+ Fra_ObjSetFraig( Aig_ManConst1(p->pManAig), f, Aig_ManConst1(pManFraig) );
+ for ( f = 0; f < p->nFramesAll; f++ )
+ Aig_ManForEachPiSeq( p->pManAig, pObj, i )
+ Fra_ObjSetFraig( pObj, f, Aig_ObjCreatePi(pManFraig) );
+ // create latches for the first frame
+ Aig_ManForEachLoSeq( p->pManAig, pObj, i )
+ Fra_ObjSetFraig( pObj, 0, Aig_ObjCreatePi(pManFraig) );
+
+ // add timeframes
+// pManFraig->fAddStrash = 1;
+ for ( f = 0; f < p->nFramesAll - 1; f++ )
+ {
+ // set the constraints on the latch outputs
+ Aig_ManForEachLoSeq( p->pManAig, pObj, i )
+ Fra_FramesConstrainNode( pManFraig, pObj, f );
+ // add internal nodes of this frame
+ Aig_ManForEachNode( p->pManAig, pObj, i )
+ {
+ pObjNew = Aig_And( pManFraig, Fra_ObjChild0Fra(pObj,f), Fra_ObjChild1Fra(pObj,f) );
+ Fra_ObjSetFraig( pObj, f, pObjNew );
+ Fra_FramesConstrainNode( pManFraig, pObj, f );
+ }
+ // transfer latch input to the latch outputs
+ Aig_ManForEachLiLoSeq( p->pManAig, pObjLi, pObjLo, k )
+ Fra_ObjSetFraig( pObjLo, f+1, Fra_ObjChild0Fra(pObjLi,f) );
+ }
+// pManFraig->fAddStrash = 0;
+ // mark the asserts
+ pManFraig->nAsserts = Aig_ManPoNum(pManFraig);
+ // add the POs for the latch outputs of the last frame
+ Aig_ManForEachLoSeq( p->pManAig, pObj, i )
+ Aig_ObjCreatePo( pManFraig, Fra_ObjFraig(pObj,p->nFramesAll-1) );
+
+ // remove dangling nodes
+ Aig_ManCleanup( pManFraig );
+ // make sure the satisfying assignment is node assigned
+ assert( pManFraig->pData == NULL );
+ return pManFraig;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Prepares the inductive case with speculative reduction.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_FramesAddMore( Aig_Man_t * p, int nFrames )
+{
+ Aig_Obj_t * pObj, ** pLatches;
+ int i, k, f, nNodesOld;
+ // set copy pointer of each object to point to itself
+ Aig_ManForEachObj( p, pObj, i )
+ pObj->pData = pObj;
+ // iterate and add objects
+ nNodesOld = Aig_ManObjNumMax(p);
+ pLatches = ALLOC( Aig_Obj_t *, Aig_ManRegNum(p) );
+ for ( f = 0; f < nFrames; f++ )
+ {
+ // clean latch inputs and outputs
+ Aig_ManForEachLiSeq( p, pObj, i )
+ pObj->pData = NULL;
+ Aig_ManForEachLoSeq( p, pObj, i )
+ pObj->pData = NULL;
+ // save the latch input values
+ k = 0;
+ Aig_ManForEachLiSeq( p, pObj, i )
+ {
+ if ( Aig_ObjFanin0(pObj)->pData )
+ pLatches[k++] = Aig_ObjChild0Copy(pObj);
+ else
+ pLatches[k++] = NULL;
+ }
+ // insert them as the latch output values
+ k = 0;
+ Aig_ManForEachLoSeq( p, pObj, i )
+ pObj->pData = pLatches[k++];
+ // create the next time frame of nodes
+ Aig_ManForEachNode( p, pObj, i )
+ {
+ if ( i > nNodesOld )
+ break;
+ if ( Aig_ObjFanin0(pObj)->pData && Aig_ObjFanin1(pObj)->pData )
+ pObj->pData = Aig_And( p, Aig_ObjChild0Copy(pObj), Aig_ObjChild1Copy(pObj) );
+ else
+ pObj->pData = NULL;
+ }
+ }
+ free( pLatches );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs choicing of the AIG.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Man_t * Fra_FraigInduction( Aig_Man_t * pManAig, int nFramesP, int nFramesK, int nMaxImps, int fRewrite, int fUseImps, int fLatchCorr, int fWriteImps, int fVerbose, int * pnIter )
+{
+ int fUseSimpleCnf = 0;
+ int fUseOldSimulation = 0;
+ // other paramaters affecting performance
+ // - presence of FRAIGing in Abc_NtkDarSeqSweep()
+ // - using distance-1 patterns in Fra_SmlAssignDist1()
+ // - the number of simulation patterns
+ // - the number of BMC frames
+
+ Fra_Man_t * p;
+ Fra_Par_t Pars, * pPars = &Pars;
+ Aig_Obj_t * pObj;
+ Cnf_Dat_t * pCnf;
+ Aig_Man_t * pManAigNew;
+ int nNodesBeg, nRegsBeg;
+ int nIter, i, clk = clock(), clk2;
+
+ if ( Aig_ManNodeNum(pManAig) == 0 )
+ {
+ if ( pnIter ) *pnIter = 0;
+ return Aig_ManDup(pManAig, 1);
+ }
+ assert( Aig_ManLatchNum(pManAig) == 0 );
+ assert( Aig_ManRegNum(pManAig) > 0 );
+ assert( nFramesK > 0 );
+//Aig_ManShow( pManAig, 0, NULL );
+
+ nNodesBeg = Aig_ManNodeNum(pManAig);
+ nRegsBeg = Aig_ManRegNum(pManAig);
+
+ // enhance the AIG by adding timeframes
+// Fra_FramesAddMore( pManAig, 3 );
+
+ // get parameters
+ Fra_ParamsDefaultSeq( pPars );
+ pPars->nFramesP = nFramesP;
+ pPars->nFramesK = nFramesK;
+ pPars->nMaxImps = nMaxImps;
+ pPars->fVerbose = fVerbose;
+ pPars->fRewrite = fRewrite;
+ pPars->fLatchCorr = fLatchCorr;
+ pPars->fUseImps = fUseImps;
+ pPars->fWriteImps = fWriteImps;
+
+ // start the fraig manager for this run
+ p = Fra_ManStart( pManAig, pPars );
+ // derive and refine e-classes using K initialized frames
+ if ( fUseOldSimulation )
+ {
+ if ( pPars->nFramesP > 0 )
+ {
+ pPars->nFramesP = 0;
+ printf( "Fra_FraigInduction(): Prefix cannot be used.\n" );
+ }
+ p->pSml = Fra_SmlStart( pManAig, 0, pPars->nFramesK + 1, pPars->nSimWords );
+ Fra_SmlSimulate( p, 1 );
+ }
+ else
+ {
+ // bug: r iscas/blif/s5378.blif ; st; ssw -v
+ // bug: r iscas/blif/s1238.blif ; st; ssw -v
+ // refine the classes with more simulation rounds
+if ( fVerbose )
+printf( "Simulating %d AIG nodes for %d cycles ... ", Aig_ManNodeNum(pManAig), pPars->nFramesP + 32 );
+ p->pSml = Fra_SmlSimulateSeq( pManAig, pPars->nFramesP, 32, 1 ); //pPars->nFramesK + 1, 1 );
+if ( fVerbose )
+{
+PRT( "Time", clock() - clk );
+}
+ Fra_ClassesPrepare( p->pCla, p->pPars->fLatchCorr );
+// Fra_ClassesPostprocess( p->pCla );
+ // allocate new simulation manager for simulating counter-examples
+ Fra_SmlStop( p->pSml );
+ p->pSml = Fra_SmlStart( pManAig, 0, pPars->nFramesK + 1, pPars->nSimWords );
+ }
+
+ // select the most expressive implications
+ if ( pPars->fUseImps )
+ p->pCla->vImps = Fra_ImpDerive( p, 5000000, pPars->nMaxImps, pPars->fLatchCorr );
+
+ // perform BMC (for the min number of frames)
+ Fra_BmcPerform( p, pPars->nFramesP, pPars->nFramesK+1 ); // +1 is needed to prevent non-refinement
+//Fra_ClassesPrint( p->pCla, 1 );
+// if ( p->vCex == NULL )
+// p->vCex = Vec_IntAlloc( 1000 );
+
+ p->nLitsBeg = Fra_ClassesCountLits( p->pCla );
+ p->nNodesBeg = nNodesBeg; // Aig_ManNodeNum(pManAig);
+ p->nRegsBeg = nRegsBeg; // Aig_ManRegNum(pManAig);
+
+ // dump AIG of the timeframes
+// pManAigNew = Fra_ClassesDeriveAig( p->pCla, pPars->nFramesK );
+// Aig_ManDumpBlif( pManAigNew, "frame_aig.blif" );
+// Fra_ManPartitionTest2( pManAigNew );
+// Aig_ManStop( pManAigNew );
+
+ // iterate the inductive case
+ p->pCla->fRefinement = 1;
+ for ( nIter = 0; p->pCla->fRefinement; nIter++ )
+ {
+ int nLitsOld = Fra_ClassesCountLits(p->pCla);
+ int nImpsOld = p->pCla->vImps? Vec_IntSize(p->pCla->vImps) : 0;
+ // mark the classes as non-refined
+ p->pCla->fRefinement = 0;
+ // derive non-init K-timeframes while implementing e-classes
+clk2 = clock();
+ p->pManFraig = Fra_FramesWithClasses( p );
+p->timeTrav += clock() - clk2;
+//Aig_ManDumpBlif( p->pManFraig, "testaig.blif" );
+
+ // perform AIG rewriting
+ if ( p->pPars->fRewrite )
+ Fra_FraigInductionRewrite( p );
+
+ // convert the manager to SAT solver (the last nLatches outputs are inputs)
+ if ( fUseSimpleCnf || pPars->fUseImps )
+ pCnf = Cnf_DeriveSimple( p->pManFraig, Aig_ManRegNum(p->pManFraig) );
+ else
+ pCnf = Cnf_Derive( p->pManFraig, Aig_ManRegNum(p->pManFraig) );
+//Cnf_DataWriteIntoFile( pCnf, "temp.cnf", 1 );
+
+ p->pSat = Cnf_DataWriteIntoSolver( pCnf );
+ p->nSatVars = pCnf->nVars;
+ assert( p->pSat != NULL );
+ if ( p->pSat == NULL )
+ printf( "Fra_FraigInduction(): Computed CNF is not valid.\n" );
+ if ( pPars->fUseImps )
+ {
+ Fra_ImpAddToSolver( p, p->pCla->vImps, pCnf->pVarNums );
+ if ( p->pSat == NULL )
+ printf( "Fra_FraigInduction(): Adding implicationsn to CNF led to a conflict.\n" );
+ }
+
+ // set the pointers to the manager
+ Aig_ManForEachObj( p->pManFraig, pObj, i )
+ pObj->pData = p;
+
+ // prepare solver for fraiging the last timeframe
+ Fra_ManClean( p, Aig_ManObjNumMax(p->pManFraig) + Aig_ManNodeNum(p->pManAig) );
+
+ // transfer PI/LO variable numbers
+ Aig_ManForEachObj( p->pManFraig, pObj, i )
+ {
+ if ( pCnf->pVarNums[pObj->Id] == -1 )
+ continue;
+ Fra_ObjSetSatNum( pObj, pCnf->pVarNums[pObj->Id] );
+ Fra_ObjSetFaninVec( pObj, (void *)1 );
+ }
+ Cnf_DataFree( pCnf );
+
+ // report the intermediate results
+ if ( fVerbose )
+ {
+ printf( "%3d : Const = %6d. Class = %6d. L = %6d. LR = %6d. ",
+ nIter, Vec_PtrSize(p->pCla->vClasses1), Vec_PtrSize(p->pCla->vClasses),
+ Fra_ClassesCountLits(p->pCla), p->pManFraig->nAsserts );
+ if ( p->pCla->vImps )
+ printf( "I = %6d. ", Vec_IntSize(p->pCla->vImps) );
+ printf( "NR = %6d.\n", Aig_ManNodeNum(p->pManFraig) );
+ }
+
+ // perform sweeping
+ p->nSatCallsRecent = 0;
+ p->nSatCallsSkipped = 0;
+ Fra_FraigSweep( p );
+
+// Sat_SolverPrintStats( stdout, p->pSat );
+
+ // remove FRAIG and SAT solver
+ Aig_ManStop( p->pManFraig ); p->pManFraig = NULL;
+ sat_solver_delete( p->pSat ); p->pSat = NULL;
+ memset( p->pMemFraig, 0, sizeof(Aig_Obj_t *) * p->nSizeAlloc * p->nFramesAll );
+// printf( "Recent SAT called = %d. Skipped = %d.\n", p->nSatCallsRecent, p->nSatCallsSkipped );
+ assert( p->vTimeouts == NULL );
+ if ( p->vTimeouts )
+ printf( "Fra_FraigInduction(): SAT solver timed out!\n" );
+ // check if refinement has happened
+// p->pCla->fRefinement = (int)(nLitsOld != Fra_ClassesCountLits(p->pCla));
+ if ( p->pCla->fRefinement &&
+ nLitsOld == Fra_ClassesCountLits(p->pCla) &&
+ nImpsOld == (p->pCla->vImps? Vec_IntSize(p->pCla->vImps) : 0) )
+ {
+ printf( "Fra_FraigInduction(): Internal error. The result may not verify.\n" );
+ break;
+ }
+ }
+/*
+ // verify implications using simulation
+ if ( p->pCla->vImps && Vec_IntSize(p->pCla->vImps) )
+ {
+ int Temp, clk = clock();
+ if ( Temp = Fra_ImpVerifyUsingSimulation( p ) )
+ printf( "Implications failing the simulation test = %d (out of %d). ", Temp, Vec_IntSize(p->pCla->vImps) );
+ else
+ printf( "All %d implications have passed the simulation test. ", Vec_IntSize(p->pCla->vImps) );
+ PRT( "Time", clock() - clk );
+ }
+*/
+
+ // move the classes into representatives and reduce AIG
+clk2 = clock();
+// Fra_ClassesPrint( p->pCla, 1 );
+ Fra_ClassesSelectRepr( p->pCla );
+ Fra_ClassesCopyReprs( p->pCla, p->vTimeouts );
+ pManAigNew = Aig_ManDupRepr( pManAig, 0 );
+ // add implications to the manager
+ if ( fWriteImps && p->pCla->vImps && Vec_IntSize(p->pCla->vImps) )
+ Fra_ImpRecordInManager( p, pManAigNew );
+ // cleanup the new manager
+ Aig_ManSeqCleanup( pManAigNew );
+// Aig_ManCountMergeRegs( pManAigNew );
+p->timeTrav += clock() - clk2;
+p->timeTotal = clock() - clk;
+ // get the final stats
+ p->nLitsEnd = Fra_ClassesCountLits( p->pCla );
+ p->nNodesEnd = Aig_ManNodeNum(pManAigNew);
+ p->nRegsEnd = Aig_ManRegNum(pManAigNew);
+ // free the manager
+ Fra_ManStop( p );
+ // check the output
+// if ( Aig_ManPoNum(pManAigNew) - Aig_ManRegNum(pManAigNew) == 1 )
+// if ( Aig_ObjChild0( Aig_ManPo(pManAigNew,0) ) == Aig_ManConst0(pManAigNew) )
+// printf( "Proved output constant 0.\n" );
+ if ( pnIter ) *pnIter = nIter;
+ return pManAigNew;
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/fra/fraLcr.c b/src/aig/fra/fraLcr.c
new file mode 100644
index 00000000..597dda71
--- /dev/null
+++ b/src/aig/fra/fraLcr.c
@@ -0,0 +1,654 @@
+/**CFile****************************************************************
+
+ FileName [fraLcorr.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [New FRAIG package.]
+
+ Synopsis [Latch correspondence computation.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - June 30, 2007.]
+
+ Revision [$Id: fraLcorr.c,v 1.00 2007/06/30 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "fra.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+typedef struct Fra_Lcr_t_ Fra_Lcr_t;
+struct Fra_Lcr_t_
+{
+ // original AIG
+ Aig_Man_t * pAig;
+ // equivalence class representation
+ Fra_Cla_t * pCla;
+ // partitioning information
+ Vec_Ptr_t * vParts; // output partitions
+ int * pInToOutPart; // mapping of PI num into PO partition num
+ int * pInToOutNum; // mapping of PI num into the num of this PO in the partition
+ // AIGs for the partitions
+ Vec_Ptr_t * vFraigs;
+ // other variables
+ int fRefining;
+ // parameters
+ int nFramesP;
+ int fVerbose;
+ // statistics
+ int nIters;
+ int nLitsBeg;
+ int nLitsEnd;
+ int nNodesBeg;
+ int nNodesEnd;
+ int nRegsBeg;
+ int nRegsEnd;
+ // runtime
+ int timeSim;
+ int timePart;
+ int timeTrav;
+ int timeFraig;
+ int timeUpdate;
+ int timeTotal;
+};
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Allocates the retiming manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Fra_Lcr_t * Lcr_ManAlloc( Aig_Man_t * pAig )
+{
+ Fra_Lcr_t * p;
+ p = ALLOC( Fra_Lcr_t, 1 );
+ memset( p, 0, sizeof(Fra_Lcr_t) );
+ p->pAig = pAig;
+ p->pInToOutPart = ALLOC( int, Aig_ManPiNum(pAig) );
+ memset( p->pInToOutPart, 0, sizeof(int) * Aig_ManPiNum(pAig) );
+ p->pInToOutNum = ALLOC( int, Aig_ManPiNum(pAig) );
+ memset( p->pInToOutNum, 0, sizeof(int) * Aig_ManPiNum(pAig) );
+ p->vFraigs = Vec_PtrAlloc( 1000 );
+ return p;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Prints stats for the fraiging manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Lcr_ManPrint( Fra_Lcr_t * p )
+{
+ printf( "Iterations = %d. LitBeg = %d. LitEnd = %d. (%6.2f %%).\n",
+ p->nIters, p->nLitsBeg, p->nLitsEnd, 100.0*p->nLitsEnd/p->nLitsBeg );
+ printf( "NBeg = %d. NEnd = %d. (Gain = %6.2f %%). RBeg = %d. REnd = %d. (Gain = %6.2f %%).\n",
+ p->nNodesBeg, p->nNodesEnd, 100.0*(p->nNodesBeg-p->nNodesEnd)/p->nNodesBeg,
+ p->nRegsBeg, p->nRegsEnd, 100.0*(p->nRegsBeg-p->nRegsEnd)/p->nRegsBeg );
+ PRT( "AIG simulation ", p->timeSim );
+ PRT( "AIG partitioning", p->timePart );
+ PRT( "AIG rebuiding ", p->timeTrav );
+ PRT( "FRAIGing ", p->timeFraig );
+ PRT( "AIG updating ", p->timeUpdate );
+ PRT( "TOTAL RUNTIME ", p->timeTotal );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Deallocates the retiming manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Lcr_ManFree( Fra_Lcr_t * p )
+{
+ Aig_Obj_t * pObj;
+ int i;
+ if ( p->fVerbose )
+ Lcr_ManPrint( p );
+ Aig_ManForEachPi( p->pAig, pObj, i )
+ pObj->pNext = NULL;
+ Vec_PtrFree( p->vFraigs );
+ if ( p->pCla ) Fra_ClassesStop( p->pCla );
+ if ( p->vParts ) Vec_VecFree( (Vec_Vec_t *)p->vParts );
+ free( p->pInToOutPart );
+ free( p->pInToOutNum );
+ free( p );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Prepare the AIG for class computation.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Fra_Man_t * Fra_LcrAigPrepare( Aig_Man_t * pAig )
+{
+ Fra_Man_t * p;
+ Aig_Obj_t * pObj;
+ int i;
+ p = ALLOC( Fra_Man_t, 1 );
+ memset( p, 0, sizeof(Fra_Man_t) );
+ Aig_ManForEachPi( pAig, pObj, i )
+ pObj->pData = p;
+ return p;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Prepare the AIG for class computation.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_LcrAigPrepareTwo( Aig_Man_t * pAig, Fra_Man_t * p )
+{
+ Aig_Obj_t * pObj;
+ int i;
+ Aig_ManForEachPi( pAig, pObj, i )
+ pObj->pData = p;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Compares two nodes for equivalence after partitioned fraiging.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fra_LcrNodesAreEqual( Aig_Obj_t * pObj0, Aig_Obj_t * pObj1 )
+{
+ Fra_Man_t * pTemp = pObj0->pData;
+ Fra_Lcr_t * pLcr = (Fra_Lcr_t *)pTemp->pBmc;
+ Aig_Man_t * pFraig;
+ Aig_Obj_t * pOut0, * pOut1;
+ int nPart0, nPart1;
+ assert( Aig_ObjIsPi(pObj0) );
+ assert( Aig_ObjIsPi(pObj1) );
+ // find the partition to which these nodes belong
+ nPart0 = pLcr->pInToOutPart[(long)pObj0->pNext];
+ nPart1 = pLcr->pInToOutPart[(long)pObj1->pNext];
+ // if this is the result of refinement of the class created const-1 nodes
+ // the nodes may end up in different partions - we assume them equivalent
+ if ( nPart0 != nPart1 )
+ {
+ assert( 0 );
+ return 1;
+ }
+ assert( nPart0 == nPart1 );
+ pFraig = Vec_PtrEntry( pLcr->vFraigs, nPart0 );
+ // get the fraig outputs
+ pOut0 = Aig_ManPo( pFraig, pLcr->pInToOutNum[(long)pObj0->pNext] );
+ pOut1 = Aig_ManPo( pFraig, pLcr->pInToOutNum[(long)pObj1->pNext] );
+ return Aig_ObjFanin0(pOut0) == Aig_ObjFanin0(pOut1);
+}
+
+/**Function*************************************************************
+
+ Synopsis [Compares the node with a constant after partioned fraiging.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fra_LcrNodeIsConst( Aig_Obj_t * pObj )
+{
+ Fra_Man_t * pTemp = pObj->pData;
+ Fra_Lcr_t * pLcr = (Fra_Lcr_t *)pTemp->pBmc;
+ Aig_Man_t * pFraig;
+ Aig_Obj_t * pOut;
+ int nPart;
+ assert( Aig_ObjIsPi(pObj) );
+ // find the partition to which these nodes belong
+ nPart = pLcr->pInToOutPart[(long)pObj->pNext];
+ pFraig = Vec_PtrEntry( pLcr->vFraigs, nPart );
+ // get the fraig outputs
+ pOut = Aig_ManPo( pFraig, pLcr->pInToOutNum[(long)pObj->pNext] );
+ return Aig_ObjFanin0(pOut) == Aig_ManConst1(pFraig);
+}
+
+/**Function*************************************************************
+
+ Synopsis [Give the AIG and classes, reduces AIG for partitioning.]
+
+ Description [Ignores registers that are not in the classes.
+ Places candidate equivalent classes of registers into single outputs
+ (for ease of partitioning). The resulting combinational AIG contains
+ outputs in the same order as equivalence classes of registers,
+ followed by constant-1 registers. Preserves the set of all inputs.
+ Complemented attributes of the outputs do not matter because we need
+ then only for collecting the structural info.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Man_t * Fra_LcrDeriveAigForPartitioning( Fra_Lcr_t * pLcr )
+{
+ Aig_Man_t * pNew;
+ Aig_Obj_t * pObj, * pObjPo, * pObjNew, ** ppClass, * pMiter;
+ int i, c, Offset;
+ // remember the numbers of the inputs of the original AIG
+ Aig_ManForEachPi( pLcr->pAig, pObj, i )
+ {
+ pObj->pData = pLcr;
+ pObj->pNext = (Aig_Obj_t *)(long)i;
+ }
+ // compute the LO/LI offset
+ Offset = Aig_ManPoNum(pLcr->pAig) - Aig_ManPiNum(pLcr->pAig);
+ // create the PIs
+ Aig_ManCleanData( pLcr->pAig );
+ pNew = Aig_ManStartFrom( pLcr->pAig );
+ // go over the equivalence classes
+ Vec_PtrForEachEntry( pLcr->pCla->vClasses, ppClass, i )
+ {
+ pMiter = Aig_ManConst0(pNew);
+ for ( c = 0; ppClass[c]; c++ )
+ {
+ assert( Aig_ObjIsPi(ppClass[c]) );
+ pObjPo = Aig_ManPo( pLcr->pAig, Offset+(long)ppClass[c]->pNext );
+ pObjNew = Aig_ManDup_rec( pNew, pLcr->pAig, Aig_ObjFanin0(pObjPo) );
+ pMiter = Aig_Exor( pNew, pMiter, pObjNew );
+ }
+ Aig_ObjCreatePo( pNew, pMiter );
+ }
+ // go over the constant candidates
+ Vec_PtrForEachEntry( pLcr->pCla->vClasses1, pObj, i )
+ {
+ assert( Aig_ObjIsPi(pObj) );
+ pObjPo = Aig_ManPo( pLcr->pAig, Offset+(long)pObj->pNext );
+ pMiter = Aig_ManDup_rec( pNew, pLcr->pAig, Aig_ObjFanin0(pObjPo) );
+ Aig_ObjCreatePo( pNew, pMiter );
+ }
+ return pNew;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Remaps partitions into the inputs of original AIG.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_LcrRemapPartitions( Vec_Ptr_t * vParts, Fra_Cla_t * pCla, int * pInToOutPart, int * pInToOutNum )
+{
+ Vec_Int_t * vOne, * vOneNew;
+ Aig_Obj_t ** ppClass, * pObjPi;
+ int Out, Offset, i, k, c;
+ // compute the LO/LI offset
+ Offset = Aig_ManPoNum(pCla->pAig) - Aig_ManPiNum(pCla->pAig);
+ Vec_PtrForEachEntry( vParts, vOne, i )
+ {
+ vOneNew = Vec_IntAlloc( Vec_IntSize(vOne) );
+ Vec_IntForEachEntry( vOne, Out, k )
+ {
+ if ( Out < Vec_PtrSize(pCla->vClasses) )
+ {
+ ppClass = Vec_PtrEntry( pCla->vClasses, Out );
+ for ( c = 0; ppClass[c]; c++ )
+ {
+ pInToOutPart[(long)ppClass[c]->pNext] = i;
+ pInToOutNum[(long)ppClass[c]->pNext] = Vec_IntSize(vOneNew);
+ Vec_IntPush( vOneNew, Offset+(long)ppClass[c]->pNext );
+ }
+ }
+ else
+ {
+ pObjPi = Vec_PtrEntry( pCla->vClasses1, Out - Vec_PtrSize(pCla->vClasses) );
+ pInToOutPart[(long)pObjPi->pNext] = i;
+ pInToOutNum[(long)pObjPi->pNext] = Vec_IntSize(vOneNew);
+ Vec_IntPush( vOneNew, Offset+(long)pObjPi->pNext );
+ }
+ }
+ // replace the class
+ Vec_PtrWriteEntry( vParts, i, vOneNew );
+ Vec_IntFree( vOne );
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates AIG of one partition with speculative reduction.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Obj_t * Fra_LcrCreatePart_rec( Fra_Cla_t * pCla, Aig_Man_t * pNew, Aig_Man_t * p, Aig_Obj_t * pObj )
+{
+ assert( !Aig_IsComplement(pObj) );
+ if ( Aig_ObjIsTravIdCurrent(p, pObj) )
+ return pObj->pData;
+ Aig_ObjSetTravIdCurrent(p, pObj);
+ if ( Aig_ObjIsPi(pObj) )
+ {
+// Aig_Obj_t * pRepr = Fra_ClassObjRepr(pObj);
+ Aig_Obj_t * pRepr = pCla->pMemRepr[pObj->Id];
+ if ( pRepr == NULL )
+ pObj->pData = Aig_ObjCreatePi( pNew );
+ else
+ {
+ pObj->pData = Fra_LcrCreatePart_rec( pCla, pNew, p, pRepr );
+ pObj->pData = Aig_NotCond( pObj->pData, pRepr->fPhase ^ pObj->fPhase );
+ }
+ return pObj->pData;
+ }
+ Fra_LcrCreatePart_rec( pCla, pNew, p, Aig_ObjFanin0(pObj) );
+ Fra_LcrCreatePart_rec( pCla, pNew, p, Aig_ObjFanin1(pObj) );
+ return pObj->pData = Aig_And( pNew, Aig_ObjChild0Copy(pObj), Aig_ObjChild1Copy(pObj) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates AIG of one partition with speculative reduction.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Man_t * Fra_LcrCreatePart( Fra_Lcr_t * p, Vec_Int_t * vPart )
+{
+ Aig_Man_t * pNew;
+ Aig_Obj_t * pObj, * pObjNew;
+ int Out, i;
+ // create new AIG for this partition
+ pNew = Aig_ManStartFrom( p->pAig );
+ Aig_ManIncrementTravId( p->pAig );
+ Aig_ObjSetTravIdCurrent( p->pAig, Aig_ManConst1(p->pAig) );
+ Aig_ManConst1(p->pAig)->pData = Aig_ManConst1(pNew);
+ Vec_IntForEachEntry( vPart, Out, i )
+ {
+ pObj = Aig_ManPo( p->pAig, Out );
+ if ( pObj->fMarkA )
+ {
+ pObjNew = Fra_LcrCreatePart_rec( p->pCla, pNew, p->pAig, Aig_ObjFanin0(pObj) );
+ pObjNew = Aig_NotCond( pObjNew, Aig_ObjFaninC0(pObj) );
+ }
+ else
+ pObjNew = Aig_ManConst1( pNew );
+ Aig_ObjCreatePo( pNew, pObjNew );
+ }
+ return pNew;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Marks the nodes belonging to the equivalence classes.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_ClassNodesMark( Fra_Lcr_t * p )
+{
+ Aig_Obj_t * pObj, ** ppClass;
+ int i, c, Offset;
+ // compute the LO/LI offset
+ Offset = Aig_ManPoNum(p->pCla->pAig) - Aig_ManPiNum(p->pCla->pAig);
+ // mark the nodes remaining in the classes
+ Vec_PtrForEachEntry( p->pCla->vClasses1, pObj, i )
+ {
+ pObj = Aig_ManPo( p->pCla->pAig, Offset+(long)pObj->pNext );
+ pObj->fMarkA = 1;
+ }
+ Vec_PtrForEachEntry( p->pCla->vClasses, ppClass, i )
+ {
+ for ( c = 0; ppClass[c]; c++ )
+ {
+ pObj = Aig_ManPo( p->pCla->pAig, Offset+(long)ppClass[c]->pNext );
+ pObj->fMarkA = 1;
+ }
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Unmarks the nodes belonging to the equivalence classes.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_ClassNodesUnmark( Fra_Lcr_t * p )
+{
+ Aig_Obj_t * pObj, ** ppClass;
+ int i, c, Offset;
+ // compute the LO/LI offset
+ Offset = Aig_ManPoNum(p->pCla->pAig) - Aig_ManPiNum(p->pCla->pAig);
+ // mark the nodes remaining in the classes
+ Vec_PtrForEachEntry( p->pCla->vClasses1, pObj, i )
+ {
+ pObj = Aig_ManPo( p->pCla->pAig, Offset+(long)pObj->pNext );
+ pObj->fMarkA = 0;
+ }
+ Vec_PtrForEachEntry( p->pCla->vClasses, ppClass, i )
+ {
+ for ( c = 0; ppClass[c]; c++ )
+ {
+ pObj = Aig_ManPo( p->pCla->pAig, Offset+(long)ppClass[c]->pNext );
+ pObj->fMarkA = 0;
+ }
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs choicing of the AIG.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Man_t * Fra_FraigLatchCorrespondence( Aig_Man_t * pAig, int nFramesP, int nConfMax, int fProve, int fVerbose, int * pnIter )
+{
+ int nPartSize = 200;
+ int fReprSelect = 0;
+ Fra_Lcr_t * p;
+ Fra_Sml_t * pSml;
+ Fra_Man_t * pTemp;
+ Aig_Man_t * pAigPart, * pAigNew = NULL;
+ Vec_Int_t * vPart;
+ int i, nIter, timeSim, clk = clock(), clk2, clk3;
+ if ( Aig_ManNodeNum(pAig) == 0 )
+ {
+ if ( pnIter ) *pnIter = 0;
+ return Aig_ManDup(pAig, 1);
+ }
+ assert( Aig_ManLatchNum(pAig) == 0 );
+ assert( Aig_ManRegNum(pAig) > 0 );
+
+ // simulate the AIG
+clk2 = clock();
+if ( fVerbose )
+printf( "Simulating AIG with %d nodes for %d cycles ... ", Aig_ManNodeNum(pAig), nFramesP + 32 );
+ pSml = Fra_SmlSimulateSeq( pAig, nFramesP, 32, 1 );
+if ( fVerbose )
+{
+PRT( "Time", clock() - clk2 );
+}
+timeSim = clock() - clk2;
+
+ // check if simulation discovered non-constant-0 POs
+ if ( fProve && pSml->fNonConstOut )
+ {
+ Fra_SmlStop( pSml );
+ return NULL;
+ }
+
+ // start the manager
+ p = Lcr_ManAlloc( pAig );
+ p->nFramesP = nFramesP;
+ p->fVerbose = fVerbose;
+ p->timeSim += timeSim;
+
+ pTemp = Fra_LcrAigPrepare( pAig );
+ pTemp->pBmc = (Fra_Bmc_t *)p;
+ pTemp->pSml = pSml;
+
+ // get preliminary info about equivalence classes
+ pTemp->pCla = p->pCla = Fra_ClassesStart( p->pAig );
+ Fra_ClassesPrepare( p->pCla, 1 );
+ p->pCla->pFuncNodeIsConst = Fra_LcrNodeIsConst;
+ p->pCla->pFuncNodesAreEqual = Fra_LcrNodesAreEqual;
+ Fra_SmlStop( pTemp->pSml );
+
+ // partition the AIG for latch correspondence computation
+clk2 = clock();
+if ( fVerbose )
+printf( "Partitioning AIG ... " );
+ pAigPart = Fra_LcrDeriveAigForPartitioning( p );
+ p->vParts = (Vec_Ptr_t *)Aig_ManPartitionSmart( pAigPart, nPartSize, 0, NULL );
+ Fra_LcrRemapPartitions( p->vParts, p->pCla, p->pInToOutPart, p->pInToOutNum );
+ Aig_ManStop( pAigPart );
+if ( fVerbose )
+{
+PRT( "Time", clock() - clk2 );
+p->timePart += clock() - clk2;
+}
+
+ // get the initial stats
+ p->nLitsBeg = Fra_ClassesCountLits( p->pCla );
+ p->nNodesBeg = Aig_ManNodeNum(p->pAig);
+ p->nRegsBeg = Aig_ManRegNum(p->pAig);
+
+ // perforn interative reduction of the partitions
+ p->fRefining = 1;
+ for ( nIter = 0; p->fRefining; nIter++ )
+ {
+ p->fRefining = 0;
+ clk3 = clock();
+ // derive AIGs for each partition
+ Fra_ClassNodesMark( p );
+ Vec_PtrClear( p->vFraigs );
+ Vec_PtrForEachEntry( p->vParts, vPart, i )
+ {
+clk2 = clock();
+ pAigPart = Fra_LcrCreatePart( p, vPart );
+p->timeTrav += clock() - clk2;
+clk2 = clock();
+ pAigNew = Fra_FraigEquivence( pAigPart, nConfMax );
+p->timeFraig += clock() - clk2;
+ Vec_PtrPush( p->vFraigs, pAigNew );
+ Aig_ManStop( pAigPart );
+ }
+ Fra_ClassNodesUnmark( p );
+ // report the intermediate results
+ if ( fVerbose )
+ {
+ printf( "%3d : Const = %6d. Class = %6d. L = %6d. Part = %3d. ",
+ nIter, Vec_PtrSize(p->pCla->vClasses1), Vec_PtrSize(p->pCla->vClasses),
+ Fra_ClassesCountLits(p->pCla), Vec_PtrSize(p->vParts) );
+ PRT( "T", clock() - clk3 );
+ }
+ // refine the classes
+ Fra_LcrAigPrepareTwo( p->pAig, pTemp );
+ if ( Fra_ClassesRefine( p->pCla ) )
+ p->fRefining = 1;
+ if ( Fra_ClassesRefine1( p->pCla, 0, NULL ) )
+ p->fRefining = 1;
+ // clean the fraigs
+ Vec_PtrForEachEntry( p->vFraigs, pAigPart, i )
+ Aig_ManStop( pAigPart );
+
+ // repartition if needed
+ if ( 1 )
+ {
+clk2 = clock();
+ Vec_VecFree( (Vec_Vec_t *)p->vParts );
+ pAigPart = Fra_LcrDeriveAigForPartitioning( p );
+ p->vParts = (Vec_Ptr_t *)Aig_ManPartitionSmart( pAigPart, nPartSize, 0, NULL );
+ Fra_LcrRemapPartitions( p->vParts, p->pCla, p->pInToOutPart, p->pInToOutNum );
+ Aig_ManStop( pAigPart );
+p->timePart += clock() - clk2;
+ }
+ }
+ free( pTemp );
+ p->nIters = nIter;
+
+ // move the classes into representatives and reduce AIG
+clk2 = clock();
+// Fra_ClassesPrint( p->pCla, 1 );
+ if ( fReprSelect )
+ Fra_ClassesSelectRepr( p->pCla );
+ Fra_ClassesCopyReprs( p->pCla, NULL );
+ pAigNew = Aig_ManDupRepr( p->pAig, 0 );
+ Aig_ManSeqCleanup( pAigNew );
+// Aig_ManCountMergeRegs( pAigNew );
+p->timeUpdate += clock() - clk2;
+p->timeTotal = clock() - clk;
+ // get the final stats
+ p->nLitsEnd = Fra_ClassesCountLits( p->pCla );
+ p->nNodesEnd = Aig_ManNodeNum(pAigNew);
+ p->nRegsEnd = Aig_ManRegNum(pAigNew);
+ Lcr_ManFree( p );
+ if ( pnIter ) *pnIter = nIter;
+ return pAigNew;
+}
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/fra/fraMan.c b/src/aig/fra/fraMan.c
new file mode 100644
index 00000000..f505b0c2
--- /dev/null
+++ b/src/aig/fra/fraMan.c
@@ -0,0 +1,304 @@
+/**CFile****************************************************************
+
+ FileName [fraMan.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [New FRAIG package.]
+
+ Synopsis [Starts the FRAIG manager.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - June 30, 2007.]
+
+ Revision [$Id: fraMan.c,v 1.00 2007/06/30 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "fra.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Sets the default solving parameters.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_ParamsDefault( Fra_Par_t * pPars )
+{
+ memset( pPars, 0, sizeof(Fra_Par_t) );
+ pPars->nSimWords = 32; // the number of words in the simulation info
+ pPars->dSimSatur = 0.005; // the ratio of refined classes when saturation is reached
+ pPars->fPatScores = 0; // enables simulation pattern scoring
+ pPars->MaxScore = 25; // max score after which resimulation is used
+ pPars->fDoSparse = 1; // skips sparse functions
+// pPars->dActConeRatio = 0.05; // the ratio of cone to be bumped
+// pPars->dActConeBumpMax = 5.0; // the largest bump of activity
+ pPars->dActConeRatio = 0.3; // the ratio of cone to be bumped
+ pPars->dActConeBumpMax = 10.0; // the largest bump of activity
+ pPars->nBTLimitNode = 100; // conflict limit at a node
+ pPars->nBTLimitMiter = 500000; // conflict limit at an output
+ pPars->nFramesK = 0; // the number of timeframes to unroll
+ pPars->fConeBias = 1;
+ pPars->fRewrite = 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Sets the default solving parameters.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_ParamsDefaultSeq( Fra_Par_t * pPars )
+{
+ memset( pPars, 0, sizeof(Fra_Par_t) );
+ pPars->nSimWords = 1; // the number of words in the simulation info
+ pPars->dSimSatur = 0.005; // the ratio of refined classes when saturation is reached
+ pPars->fPatScores = 0; // enables simulation pattern scoring
+ pPars->MaxScore = 25; // max score after which resimulation is used
+ pPars->fDoSparse = 1; // skips sparse functions
+ pPars->dActConeRatio = 0.3; // the ratio of cone to be bumped
+ pPars->dActConeBumpMax = 10.0; // the largest bump of activity
+ pPars->nBTLimitNode = 10000000; // conflict limit at a node
+ pPars->nBTLimitMiter = 500000; // conflict limit at an output
+ pPars->nFramesK = 1; // the number of timeframes to unroll
+ pPars->fConeBias = 0;
+ pPars->fRewrite = 0;
+ pPars->fLatchCorr = 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Starts the fraiging manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Fra_Man_t * Fra_ManStart( Aig_Man_t * pManAig, Fra_Par_t * pPars )
+{
+ Fra_Man_t * p;
+ Aig_Obj_t * pObj;
+ int i;
+ // allocate the fraiging manager
+ p = ALLOC( Fra_Man_t, 1 );
+ memset( p, 0, sizeof(Fra_Man_t) );
+ p->pPars = pPars;
+ p->pManAig = pManAig;
+ p->nSizeAlloc = Aig_ManObjNumMax( pManAig );
+ p->nFramesAll = pPars->nFramesK + 1;
+ // allocate storage for sim pattern
+ p->nPatWords = Aig_BitWordNum( (Aig_ManPiNum(pManAig) - Aig_ManRegNum(pManAig)) * p->nFramesAll + Aig_ManRegNum(pManAig) );
+ p->pPatWords = ALLOC( unsigned, p->nPatWords );
+ p->vPiVars = Vec_PtrAlloc( 100 );
+ // equivalence classes
+ p->pCla = Fra_ClassesStart( pManAig );
+ // allocate other members
+ p->pMemFraig = ALLOC( Aig_Obj_t *, p->nSizeAlloc * p->nFramesAll );
+ memset( p->pMemFraig, 0, sizeof(Aig_Obj_t *) * p->nSizeAlloc * p->nFramesAll );
+ // set random number generator
+ srand( 0xABCABC );
+ // set the pointer to the manager
+ Aig_ManForEachObj( p->pManAig, pObj, i )
+ pObj->pData = p;
+ return p;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Starts the fraiging manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_ManClean( Fra_Man_t * p, int nNodesMax )
+{
+ int i;
+ // remove old arrays
+ for ( i = 0; i < p->nMemAlloc; i++ )
+ if ( p->pMemFanins[i] && p->pMemFanins[i] != (void *)1 )
+ Vec_PtrFree( p->pMemFanins[i] );
+ // realloc for the new size
+ if ( p->nMemAlloc < nNodesMax )
+ {
+ int nMemAllocNew = nNodesMax + 5000;
+ p->pMemFanins = REALLOC( Vec_Ptr_t *, p->pMemFanins, nMemAllocNew );
+ p->pMemSatNums = REALLOC( int, p->pMemSatNums, nMemAllocNew );
+ p->nMemAlloc = nMemAllocNew;
+ }
+ // prepare for the new run
+ memset( p->pMemFanins, 0, sizeof(Vec_Ptr_t *) * p->nMemAlloc );
+ memset( p->pMemSatNums, 0, sizeof(int) * p->nMemAlloc );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Prepares the new manager to begin fraiging.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Man_t * Fra_ManPrepareComb( Fra_Man_t * p )
+{
+ Aig_Man_t * pManFraig;
+ Aig_Obj_t * pObj;
+ int i;
+ assert( p->pManFraig == NULL );
+ // start the fraig package
+ pManFraig = Aig_ManStart( Aig_ManObjNumMax(p->pManAig) );
+ pManFraig->pName = Aig_UtilStrsav( p->pManAig->pName );
+ pManFraig->nRegs = p->pManAig->nRegs;
+ pManFraig->nAsserts = p->pManAig->nAsserts;
+ // set the pointers to the available fraig nodes
+ Fra_ObjSetFraig( Aig_ManConst1(p->pManAig), 0, Aig_ManConst1(pManFraig) );
+ Aig_ManForEachPi( p->pManAig, pObj, i )
+ Fra_ObjSetFraig( pObj, 0, Aig_ObjCreatePi(pManFraig) );
+ // set the pointers to the manager
+ Aig_ManForEachObj( pManFraig, pObj, i )
+ pObj->pData = p;
+ // allocate memory for mapping FRAIG nodes into SAT numbers and fanins
+ p->nMemAlloc = p->nSizeAlloc;
+ p->pMemFanins = ALLOC( Vec_Ptr_t *, p->nMemAlloc );
+ memset( p->pMemFanins, 0, sizeof(Vec_Ptr_t *) * p->nMemAlloc );
+ p->pMemSatNums = ALLOC( int, p->nMemAlloc );
+ memset( p->pMemSatNums, 0, sizeof(int) * p->nMemAlloc );
+ // make sure the satisfying assignment is node assigned
+ assert( pManFraig->pData == NULL );
+ return pManFraig;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Finalizes the combinational miter after fraiging.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_ManFinalizeComb( Fra_Man_t * p )
+{
+ Aig_Obj_t * pObj;
+ int i;
+ // add the POs
+ Aig_ManForEachPo( p->pManAig, pObj, i )
+ Aig_ObjCreatePo( p->pManFraig, Fra_ObjChild0Fra(pObj,0) );
+ // postprocess
+ Aig_ManCleanMarkB( p->pManFraig );
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Stops the fraiging manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_ManStop( Fra_Man_t * p )
+{
+ if ( p->pPars->fVerbose )
+ Fra_ManPrint( p );
+ // save mapping from original nodes into FRAIG nodes
+ if ( p->pManAig )
+ {
+ if ( p->pManAig->pObjCopies )
+ free( p->pManAig->pObjCopies );
+ p->pManAig->pObjCopies = p->pMemFraig;
+ p->pMemFraig = NULL;
+ }
+ Fra_ManClean( p, 0 );
+ if ( p->vTimeouts ) Vec_PtrFree( p->vTimeouts );
+ if ( p->vPiVars ) Vec_PtrFree( p->vPiVars );
+ if ( p->pSat ) sat_solver_delete( p->pSat );
+ if ( p->pCla ) Fra_ClassesStop( p->pCla );
+ if ( p->pSml ) Fra_SmlStop( p->pSml );
+ if ( p->vCex ) Vec_IntFree( p->vCex );
+ FREE( p->pMemFraig );
+ FREE( p->pMemFanins );
+ FREE( p->pMemSatNums );
+ FREE( p->pPatWords );
+ free( p );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Prints stats for the fraiging manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_ManPrint( Fra_Man_t * p )
+{
+ double nMemory = 1.0*Aig_ManObjNumMax(p->pManAig)*(p->pSml->nWordsTotal*sizeof(unsigned)+6*sizeof(void*))/(1<<20);
+ printf( "SimWord = %d. Round = %d. Mem = %0.2f Mb. LitBeg = %d. LitEnd = %d. (%6.2f %%).\n",
+ p->pPars->nSimWords, p->pSml->nSimRounds, nMemory, p->nLitsBeg, p->nLitsEnd, 100.0*p->nLitsEnd/(p->nLitsBeg?p->nLitsBeg:1) );
+ printf( "Proof = %d. Cex = %d. Fail = %d. FailReal = %d. C-lim = %d. ImpRatio = %6.2f %%\n",
+ p->nSatProof, p->nSatCallsSat, p->nSatFails, p->nSatFailsReal, p->pPars->nBTLimitNode, Fra_ImpComputeStateSpaceRatio(p) );
+ printf( "NBeg = %d. NEnd = %d. (Gain = %6.2f %%). RBeg = %d. REnd = %d. (Gain = %6.2f %%).\n",
+ p->nNodesBeg, p->nNodesEnd, 100.0*(p->nNodesBeg-p->nNodesEnd)/(p->nNodesBeg?p->nNodesBeg:1),
+ p->nRegsBeg, p->nRegsEnd, 100.0*(p->nRegsBeg-p->nRegsEnd)/(p->nRegsBeg?p->nRegsBeg:1) );
+ if ( p->pSat ) Sat_SolverPrintStats( stdout, p->pSat );
+ PRT( "AIG simulation ", p->pSml->timeSim );
+ PRT( "AIG traversal ", p->timeTrav );
+ if ( p->timeRwr )
+ {
+ PRT( "AIG rewriting ", p->timeRwr );
+ }
+ PRT( "SAT solving ", p->timeSat );
+ PRT( " Unsat ", p->timeSatUnsat );
+ PRT( " Sat ", p->timeSatSat );
+ PRT( " Fail ", p->timeSatFail );
+ PRT( "Class refining ", p->timeRef );
+ PRT( "TOTAL RUNTIME ", p->timeTotal );
+ if ( p->time1 ) { PRT( "time1 ", p->time1 ); }
+ if ( p->nSpeculs )
+ printf( "Speculations = %d.\n", p->nSpeculs );
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/fra/fraPart.c b/src/aig/fra/fraPart.c
new file mode 100644
index 00000000..f4964746
--- /dev/null
+++ b/src/aig/fra/fraPart.c
@@ -0,0 +1,263 @@
+/**CFile****************************************************************
+
+ FileName [fraPart.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [New FRAIG package.]
+
+ Synopsis [Partitioning for induction.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - June 30, 2007.]
+
+ Revision [$Id: fraPart.c,v 1.00 2007/06/30 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "fra.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_ManPartitionTest( Aig_Man_t * p, int nComLim )
+{
+// Bar_Progress_t * pProgress;
+ Vec_Vec_t * vSupps, * vSuppsIn;
+ Vec_Ptr_t * vSuppsNew;
+ Vec_Int_t * vSupNew, * vSup, * vSup2, * vTemp;//, * vSupIn;
+ Vec_Int_t * vOverNew, * vQuantNew;
+ Aig_Obj_t * pObj;
+ int i, k, nCommon, CountOver, CountQuant;
+ int nTotalSupp, nTotalSupp2, Entry, Largest;//, iVar;
+ double Ratio, R;
+ int clk;
+
+ nTotalSupp = 0;
+ nTotalSupp2 = 0;
+ Ratio = 0.0;
+
+ // compute supports
+clk = clock();
+ vSupps = (Vec_Vec_t *)Aig_ManSupports( p );
+PRT( "Supports", clock() - clk );
+ // remove last entry
+ Aig_ManForEachPo( p, pObj, i )
+ {
+ vSup = Vec_VecEntry( vSupps, i );
+ Vec_IntPop( vSup );
+ // remember support
+// pObj->pNext = (Aig_Obj_t *)vSup;
+ }
+
+ // create reverse supports
+clk = clock();
+ vSuppsIn = Vec_VecStart( Aig_ManPiNum(p) );
+ Aig_ManForEachPo( p, pObj, i )
+ {
+ vSup = Vec_VecEntry( vSupps, i );
+ Vec_IntForEachEntry( vSup, Entry, k )
+ Vec_VecPush( vSuppsIn, Entry, (void *)i );
+ }
+PRT( "Inverse ", clock() - clk );
+
+clk = clock();
+ // compute extended supports
+ Largest = 0;
+ vSuppsNew = Vec_PtrAlloc( Aig_ManPoNum(p) );
+ vOverNew = Vec_IntAlloc( Aig_ManPoNum(p) );
+ vQuantNew = Vec_IntAlloc( Aig_ManPoNum(p) );
+// pProgress = Bar_ProgressStart( stdout, Aig_ManPoNum(p) );
+ Aig_ManForEachPo( p, pObj, i )
+ {
+// Bar_ProgressUpdate( pProgress, i, NULL );
+ // get old supports
+ vSup = Vec_VecEntry( vSupps, i );
+ if ( Vec_IntSize(vSup) < 2 )
+ continue;
+ // compute new supports
+ CountOver = CountQuant = 0;
+ vSupNew = Vec_IntDup( vSup );
+ // go through the nodes where the first var appears
+ Aig_ManForEachPo( p, pObj, k )
+// iVar = Vec_IntEntry( vSup, 0 );
+// vSupIn = Vec_VecEntry( vSuppsIn, iVar );
+// Vec_IntForEachEntry( vSupIn, Entry, k )
+ {
+// pObj = Aig_ManObj( p, Entry );
+ // get support of this output
+// vSup2 = (Vec_Int_t *)pObj->pNext;
+ vSup2 = Vec_VecEntry( vSupps, k );
+ // count the number of common vars
+ nCommon = Vec_IntTwoCountCommon(vSup, vSup2);
+ if ( nCommon < 2 )
+ continue;
+ if ( nCommon > nComLim )
+ {
+ vSupNew = Vec_IntTwoMerge( vTemp = vSupNew, vSup2 );
+ Vec_IntFree( vTemp );
+ CountOver++;
+ }
+ else
+ CountQuant++;
+ }
+ // save the results
+ Vec_PtrPush( vSuppsNew, vSupNew );
+ Vec_IntPush( vOverNew, CountOver );
+ Vec_IntPush( vQuantNew, CountQuant );
+
+ if ( Largest < Vec_IntSize(vSupNew) )
+ Largest = Vec_IntSize(vSupNew);
+
+ nTotalSupp += Vec_IntSize(vSup);
+ nTotalSupp2 += Vec_IntSize(vSupNew);
+ if ( Vec_IntSize(vSup) )
+ R = Vec_IntSize(vSupNew) / Vec_IntSize(vSup);
+ else
+ R = 0;
+ Ratio += R;
+
+ if ( R < 5.0 )
+ continue;
+
+ printf( "%6d : ", i );
+ printf( "S = %5d. ", Vec_IntSize(vSup) );
+ printf( "SNew = %5d. ", Vec_IntSize(vSupNew) );
+ printf( "R = %7.2f. ", R );
+ printf( "Over = %5d. ", CountOver );
+ printf( "Quant = %5d. ", CountQuant );
+ printf( "\n" );
+/*
+ Vec_IntForEachEntry( vSupNew, Entry, k )
+ printf( "%d ", Entry );
+ printf( "\n" );
+*/
+ }
+// Bar_ProgressStop( pProgress );
+PRT( "Scanning", clock() - clk );
+
+ // print cumulative statistics
+ printf( "PIs = %6d. POs = %6d. Lim = %3d. AveS = %3d. SN = %3d. R = %4.2f Max = %5d.\n",
+ Aig_ManPiNum(p), Aig_ManPoNum(p), nComLim,
+ nTotalSupp/Aig_ManPoNum(p), nTotalSupp2/Aig_ManPoNum(p),
+ Ratio/Aig_ManPoNum(p), Largest );
+
+ Vec_VecFree( vSupps );
+ Vec_VecFree( vSuppsIn );
+ Vec_VecFree( (Vec_Vec_t *)vSuppsNew );
+ Vec_IntFree( vOverNew );
+ Vec_IntFree( vQuantNew );
+}
+
+
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_ManPartitionTest2( Aig_Man_t * p )
+{
+ Vec_Vec_t * vSupps, * vSuppsIn;
+ Vec_Int_t * vSup, * vSup2, * vSup3;
+ Aig_Obj_t * pObj;
+ int Entry, Entry2, Entry3, Counter;
+ int i, k, m, n, clk;
+ char * pSupp;
+
+ // compute supports
+clk = clock();
+ vSupps = (Vec_Vec_t *)Aig_ManSupports( p );
+PRT( "Supports", clock() - clk );
+ // remove last entry
+ Aig_ManForEachPo( p, pObj, i )
+ {
+ vSup = Vec_VecEntry( vSupps, i );
+ Vec_IntPop( vSup );
+ // remember support
+// pObj->pNext = (Aig_Obj_t *)vSup;
+ }
+
+ // create reverse supports
+clk = clock();
+ vSuppsIn = Vec_VecStart( Aig_ManPiNum(p) );
+ Aig_ManForEachPo( p, pObj, i )
+ {
+ if ( i == p->nAsserts )
+ break;
+ vSup = Vec_VecEntry( vSupps, i );
+ Vec_IntForEachEntry( vSup, Entry, k )
+ Vec_VecPush( vSuppsIn, Entry, (void *)i );
+ }
+PRT( "Inverse ", clock() - clk );
+
+ // create affective supports
+clk = clock();
+ pSupp = ALLOC( char, Aig_ManPiNum(p) );
+ Aig_ManForEachPo( p, pObj, i )
+ {
+ if ( i % 50 != 0 )
+ continue;
+ vSup = Vec_VecEntry( vSupps, i );
+ memset( pSupp, 0, sizeof(char) * Aig_ManPiNum(p) );
+ // go through each input of this output
+ Vec_IntForEachEntry( vSup, Entry, k )
+ {
+ pSupp[Entry] = 1;
+ vSup2 = Vec_VecEntry( vSuppsIn, Entry );
+ // go though each assert of this input
+ Vec_IntForEachEntry( vSup2, Entry2, m )
+ {
+ vSup3 = Vec_VecEntry( vSupps, Entry2 );
+ // go through each input of this assert
+ Vec_IntForEachEntry( vSup3, Entry3, n )
+ {
+ pSupp[Entry3] = 1;
+ }
+ }
+ }
+ // count the entries
+ Counter = 0;
+ for ( m = 0; m < Aig_ManPiNum(p); m++ )
+ Counter += pSupp[m];
+ printf( "%d(%d) ", Vec_IntSize(vSup), Counter );
+ }
+ printf( "\n" );
+PRT( "Extension ", clock() - clk );
+
+ free( pSupp );
+ Vec_VecFree( vSupps );
+ Vec_VecFree( vSuppsIn );
+}
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/fra/fraSat.c b/src/aig/fra/fraSat.c
new file mode 100644
index 00000000..819605d6
--- /dev/null
+++ b/src/aig/fra/fraSat.c
@@ -0,0 +1,452 @@
+/**CFile****************************************************************
+
+ FileName [fraSat.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [New FRAIG package.]
+
+ Synopsis []
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - June 30, 2007.]
+
+ Revision [$Id: fraSat.c,v 1.00 2007/06/30 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include <math.h>
+#include "fra.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+static int Fra_SetActivityFactors( Fra_Man_t * p, Aig_Obj_t * pOld, Aig_Obj_t * pNew );
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Runs equivalence test for the two nodes.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fra_NodesAreEquiv( Fra_Man_t * p, Aig_Obj_t * pOld, Aig_Obj_t * pNew )
+{
+ int pLits[4], RetValue, RetValue1, nBTLimit, clk;//, clk2 = clock();
+ int status;
+
+ // make sure the nodes are not complemented
+ assert( !Aig_IsComplement(pNew) );
+ assert( !Aig_IsComplement(pOld) );
+ assert( pNew != pOld );
+
+ // if at least one of the nodes is a failed node, perform adjustments:
+ // if the backtrack limit is small, simply skip this node
+ // if the backtrack limit is > 10, take the quare root of the limit
+ nBTLimit = p->pPars->nBTLimitNode;
+ if ( !p->pPars->fSpeculate && p->pPars->nFramesK == 0 && (nBTLimit > 0 && (pOld->fMarkB || pNew->fMarkB)) )
+ {
+ p->nSatFails++;
+ // fail immediately
+// return -1;
+ if ( nBTLimit <= 10 )
+ return -1;
+ nBTLimit = (int)pow(nBTLimit, 0.7);
+ }
+
+ p->nSatCalls++;
+ p->nSatCallsRecent++;
+
+ // make sure the solver is allocated and has enough variables
+ if ( p->pSat == NULL )
+ {
+ p->pSat = sat_solver_new();
+ p->nSatVars = 1;
+ sat_solver_setnvars( p->pSat, 1000 );
+ // var 0 is reserved for const1 node - add the clause
+ pLits[0] = toLit( 0 );
+ sat_solver_addclause( p->pSat, pLits, pLits + 1 );
+ }
+
+ // if the nodes do not have SAT variables, allocate them
+ Fra_CnfNodeAddToSolver( p, pOld, pNew );
+
+ if ( p->pSat->qtail != p->pSat->qhead )
+ {
+ status = sat_solver_simplify(p->pSat);
+ assert( status != 0 );
+ assert( p->pSat->qtail == p->pSat->qhead );
+ }
+
+ // prepare variable activity
+ if ( p->pPars->fConeBias )
+ Fra_SetActivityFactors( p, pOld, pNew );
+
+ // solve under assumptions
+ // A = 1; B = 0 OR A = 1; B = 1
+clk = clock();
+ pLits[0] = toLitCond( Fra_ObjSatNum(pOld), 0 );
+ pLits[1] = toLitCond( Fra_ObjSatNum(pNew), pOld->fPhase == pNew->fPhase );
+//Sat_SolverWriteDimacs( p->pSat, "temp.cnf", pLits, pLits + 2, 1 );
+ RetValue1 = sat_solver_solve( p->pSat, pLits, pLits + 2,
+ (sint64)nBTLimit, (sint64)0,
+ p->nBTLimitGlobal, p->nInsLimitGlobal );
+p->timeSat += clock() - clk;
+ if ( RetValue1 == l_False )
+ {
+p->timeSatUnsat += clock() - clk;
+ pLits[0] = lit_neg( pLits[0] );
+ pLits[1] = lit_neg( pLits[1] );
+ RetValue = sat_solver_addclause( p->pSat, pLits, pLits + 2 );
+ assert( RetValue );
+ // continue solving the other implication
+ p->nSatCallsUnsat++;
+ }
+ else if ( RetValue1 == l_True )
+ {
+p->timeSatSat += clock() - clk;
+ Fra_SmlSavePattern( p );
+ p->nSatCallsSat++;
+ return 0;
+ }
+ else // if ( RetValue1 == l_Undef )
+ {
+p->timeSatFail += clock() - clk;
+ // mark the node as the failed node
+ if ( pOld != p->pManFraig->pConst1 )
+ pOld->fMarkB = 1;
+ pNew->fMarkB = 1;
+ p->nSatFailsReal++;
+ return -1;
+ }
+
+ // if the old node was constant 0, we already know the answer
+ if ( pOld == p->pManFraig->pConst1 )
+ {
+ p->nSatProof++;
+ return 1;
+ }
+
+ // solve under assumptions
+ // A = 0; B = 1 OR A = 0; B = 0
+clk = clock();
+ pLits[0] = toLitCond( Fra_ObjSatNum(pOld), 1 );
+ pLits[1] = toLitCond( Fra_ObjSatNum(pNew), pOld->fPhase ^ pNew->fPhase );
+ RetValue1 = sat_solver_solve( p->pSat, pLits, pLits + 2,
+ (sint64)nBTLimit, (sint64)0,
+ p->nBTLimitGlobal, p->nInsLimitGlobal );
+p->timeSat += clock() - clk;
+ if ( RetValue1 == l_False )
+ {
+p->timeSatUnsat += clock() - clk;
+ pLits[0] = lit_neg( pLits[0] );
+ pLits[1] = lit_neg( pLits[1] );
+ RetValue = sat_solver_addclause( p->pSat, pLits, pLits + 2 );
+ assert( RetValue );
+ p->nSatCallsUnsat++;
+ }
+ else if ( RetValue1 == l_True )
+ {
+p->timeSatSat += clock() - clk;
+ Fra_SmlSavePattern( p );
+ p->nSatCallsSat++;
+ return 0;
+ }
+ else // if ( RetValue1 == l_Undef )
+ {
+p->timeSatFail += clock() - clk;
+ // mark the node as the failed node
+ pOld->fMarkB = 1;
+ pNew->fMarkB = 1;
+ p->nSatFailsReal++;
+ return -1;
+ }
+/*
+ // check BDD proof
+ {
+ int RetVal;
+ PRT( "Sat", clock() - clk2 );
+ clk2 = clock();
+ RetVal = Fra_NodesAreEquivBdd( pOld, pNew );
+// printf( "%d ", RetVal );
+ assert( RetVal );
+ PRT( "Bdd", clock() - clk2 );
+ printf( "\n" );
+ }
+*/
+ // return SAT proof
+ p->nSatProof++;
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Runs the result of test for pObj => pNew.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fra_NodesAreImp( Fra_Man_t * p, Aig_Obj_t * pOld, Aig_Obj_t * pNew, int fComplL, int fComplR )
+{
+ int pLits[4], RetValue, RetValue1, nBTLimit, clk;//, clk2 = clock();
+ int status;
+
+ // make sure the nodes are not complemented
+ assert( !Aig_IsComplement(pNew) );
+ assert( !Aig_IsComplement(pOld) );
+ assert( pNew != pOld );
+
+ // if at least one of the nodes is a failed node, perform adjustments:
+ // if the backtrack limit is small, simply skip this node
+ // if the backtrack limit is > 10, take the quare root of the limit
+ nBTLimit = p->pPars->nBTLimitNode;
+/*
+ if ( !p->pPars->fSpeculate && p->pPars->nFramesK == 0 && (nBTLimit > 0 && (pOld->fMarkB || pNew->fMarkB)) )
+ {
+ p->nSatFails++;
+ // fail immediately
+// return -1;
+ if ( nBTLimit <= 10 )
+ return -1;
+ nBTLimit = (int)pow(nBTLimit, 0.7);
+ }
+*/
+ p->nSatCalls++;
+
+ // make sure the solver is allocated and has enough variables
+ if ( p->pSat == NULL )
+ {
+ p->pSat = sat_solver_new();
+ p->nSatVars = 1;
+ sat_solver_setnvars( p->pSat, 1000 );
+ // var 0 is reserved for const1 node - add the clause
+ pLits[0] = toLit( 0 );
+ sat_solver_addclause( p->pSat, pLits, pLits + 1 );
+ }
+
+ // if the nodes do not have SAT variables, allocate them
+ Fra_CnfNodeAddToSolver( p, pOld, pNew );
+
+ if ( p->pSat->qtail != p->pSat->qhead )
+ {
+ status = sat_solver_simplify(p->pSat);
+ assert( status != 0 );
+ assert( p->pSat->qtail == p->pSat->qhead );
+ }
+
+ // prepare variable activity
+ if ( p->pPars->fConeBias )
+ Fra_SetActivityFactors( p, pOld, pNew );
+
+ // solve under assumptions
+ // A = 1; B = 0 OR A = 1; B = 1
+clk = clock();
+// pLits[0] = toLitCond( Fra_ObjSatNum(pOld), 0 );
+// pLits[1] = toLitCond( Fra_ObjSatNum(pNew), pOld->fPhase == pNew->fPhase );
+ pLits[0] = toLitCond( Fra_ObjSatNum(pOld), fComplL );
+ pLits[1] = toLitCond( Fra_ObjSatNum(pNew), !fComplR );
+//Sat_SolverWriteDimacs( p->pSat, "temp.cnf", pLits, pLits + 2, 1 );
+ RetValue1 = sat_solver_solve( p->pSat, pLits, pLits + 2,
+ (sint64)nBTLimit, (sint64)0,
+ p->nBTLimitGlobal, p->nInsLimitGlobal );
+p->timeSat += clock() - clk;
+ if ( RetValue1 == l_False )
+ {
+p->timeSatUnsat += clock() - clk;
+ pLits[0] = lit_neg( pLits[0] );
+ pLits[1] = lit_neg( pLits[1] );
+ RetValue = sat_solver_addclause( p->pSat, pLits, pLits + 2 );
+ assert( RetValue );
+ // continue solving the other implication
+ p->nSatCallsUnsat++;
+ }
+ else if ( RetValue1 == l_True )
+ {
+p->timeSatSat += clock() - clk;
+ Fra_SmlSavePattern( p );
+ p->nSatCallsSat++;
+ return 0;
+ }
+ else // if ( RetValue1 == l_Undef )
+ {
+p->timeSatFail += clock() - clk;
+ // mark the node as the failed node
+ if ( pOld != p->pManFraig->pConst1 )
+ pOld->fMarkB = 1;
+ pNew->fMarkB = 1;
+ p->nSatFailsReal++;
+ return -1;
+ }
+ // return SAT proof
+ p->nSatProof++;
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Runs equivalence test for one node.]
+
+ Description [Returns the fraiged node.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fra_NodeIsConst( Fra_Man_t * p, Aig_Obj_t * pNew )
+{
+ int pLits[2], RetValue1, RetValue, clk;
+
+ // make sure the nodes are not complemented
+ assert( !Aig_IsComplement(pNew) );
+ assert( pNew != p->pManFraig->pConst1 );
+ p->nSatCalls++;
+
+ // make sure the solver is allocated and has enough variables
+ if ( p->pSat == NULL )
+ {
+ p->pSat = sat_solver_new();
+ p->nSatVars = 1;
+ sat_solver_setnvars( p->pSat, 1000 );
+ // var 0 is reserved for const1 node - add the clause
+ pLits[0] = toLit( 0 );
+ sat_solver_addclause( p->pSat, pLits, pLits + 1 );
+ }
+
+ // if the nodes do not have SAT variables, allocate them
+ Fra_CnfNodeAddToSolver( p, NULL, pNew );
+
+ // prepare variable activity
+ if ( p->pPars->fConeBias )
+ Fra_SetActivityFactors( p, NULL, pNew );
+
+ // solve under assumptions
+clk = clock();
+ pLits[0] = toLitCond( Fra_ObjSatNum(pNew), pNew->fPhase );
+ RetValue1 = sat_solver_solve( p->pSat, pLits, pLits + 1,
+ (sint64)p->pPars->nBTLimitMiter, (sint64)0,
+ p->nBTLimitGlobal, p->nInsLimitGlobal );
+p->timeSat += clock() - clk;
+ if ( RetValue1 == l_False )
+ {
+p->timeSatUnsat += clock() - clk;
+ pLits[0] = lit_neg( pLits[0] );
+ RetValue = sat_solver_addclause( p->pSat, pLits, pLits + 1 );
+ assert( RetValue );
+ // continue solving the other implication
+ p->nSatCallsUnsat++;
+ }
+ else if ( RetValue1 == l_True )
+ {
+p->timeSatSat += clock() - clk;
+ if ( p->pPatWords )
+ Fra_SmlSavePattern( p );
+ p->nSatCallsSat++;
+ return 0;
+ }
+ else // if ( RetValue1 == l_Undef )
+ {
+p->timeSatFail += clock() - clk;
+ // mark the node as the failed node
+ pNew->fMarkB = 1;
+ p->nSatFailsReal++;
+ return -1;
+ }
+
+ // return SAT proof
+ p->nSatProof++;
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Sets variable activities in the cone.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fra_SetActivityFactors_rec( Fra_Man_t * p, Aig_Obj_t * pObj, int LevelMin, int LevelMax )
+{
+ Vec_Ptr_t * vFanins;
+ Aig_Obj_t * pFanin;
+ int i, Counter = 0;
+ assert( !Aig_IsComplement(pObj) );
+ assert( Fra_ObjSatNum(pObj) );
+ // skip visited variables
+ if ( Aig_ObjIsTravIdCurrent(p->pManFraig, pObj) )
+ return 0;
+ Aig_ObjSetTravIdCurrent(p->pManFraig, pObj);
+ // add the PI to the list
+ if ( pObj->Level <= (unsigned)LevelMin || Aig_ObjIsPi(pObj) )
+ return 0;
+ // set the factor of this variable
+ // (LevelMax-LevelMin) / (pObj->Level-LevelMin) = p->pPars->dActConeBumpMax / ThisBump
+ p->pSat->factors[Fra_ObjSatNum(pObj)] = p->pPars->dActConeBumpMax * (pObj->Level - LevelMin)/(LevelMax - LevelMin);
+ veci_push(&p->pSat->act_vars, Fra_ObjSatNum(pObj));
+ // explore the fanins
+ vFanins = Fra_ObjFaninVec( pObj );
+ Vec_PtrForEachEntry( vFanins, pFanin, i )
+ Counter += Fra_SetActivityFactors_rec( p, Aig_Regular(pFanin), LevelMin, LevelMax );
+ return 1 + Counter;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Sets variable activities in the cone.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fra_SetActivityFactors( Fra_Man_t * p, Aig_Obj_t * pOld, Aig_Obj_t * pNew )
+{
+ int clk, LevelMin, LevelMax;
+ assert( pOld || pNew );
+clk = clock();
+ // reset the active variables
+ veci_resize(&p->pSat->act_vars, 0);
+ // prepare for traversal
+ Aig_ManIncrementTravId( p->pManFraig );
+ // determine the min and max level to visit
+ assert( p->pPars->dActConeRatio > 0 && p->pPars->dActConeRatio < 1 );
+ LevelMax = AIG_MAX( (pNew ? pNew->Level : 0), (pOld ? pOld->Level : 0) );
+ LevelMin = (int)(LevelMax * (1.0 - p->pPars->dActConeRatio));
+ // traverse
+ if ( pOld && !Aig_ObjIsConst1(pOld) )
+ Fra_SetActivityFactors_rec( p, pOld, LevelMin, LevelMax );
+ if ( pNew && !Aig_ObjIsConst1(pNew) )
+ Fra_SetActivityFactors_rec( p, pNew, LevelMin, LevelMax );
+//Fra_PrintActivity( p );
+p->timeTrav += clock() - clk;
+ return 1;
+}
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/fra/fraSec.c b/src/aig/fra/fraSec.c
new file mode 100644
index 00000000..15206a4d
--- /dev/null
+++ b/src/aig/fra/fraSec.c
@@ -0,0 +1,285 @@
+/**CFile****************************************************************
+
+ FileName [fraSec.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [New FRAIG package.]
+
+ Synopsis [Performs SEC based on seq sweeping.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - June 30, 2007.]
+
+ Revision [$Id: fraSec.c,v 1.00 2007/06/30 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "fra.h"
+#include "ioa.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fra_FraigSec2( Aig_Man_t * p, int nFramesFix, int fVerbose, int fVeryVerbose )
+{
+ Aig_Man_t * pNew;
+ int nFrames, RetValue, nIter, clk, clkTotal = clock();
+ int fLatchCorr = 0;
+ if ( nFramesFix )
+ {
+ nFrames = nFramesFix;
+ // perform seq sweeping for one frame number
+ pNew = Fra_FraigInduction( p, 0, nFrames, 0, 0, 0, fLatchCorr, 0, fVeryVerbose, &nIter );
+ }
+ else
+ {
+ // perform seq sweeping while increasing the number of frames
+ for ( nFrames = 1; ; nFrames++ )
+ {
+clk = clock();
+ pNew = Fra_FraigInduction( p, 0, nFrames, 0, 0, 0, fLatchCorr, 0, fVeryVerbose, &nIter );
+ RetValue = Fra_FraigMiterStatus( pNew );
+ if ( fVerbose )
+ {
+ printf( "FRAMES %3d : Iters = %3d. ", nFrames, nIter );
+ if ( RetValue == 1 )
+ printf( "UNSAT " );
+ else
+ printf( "UNDECIDED " );
+PRT( "Time", clock() - clk );
+ }
+ if ( RetValue != -1 )
+ break;
+ Aig_ManStop( pNew );
+ }
+ }
+
+ // get the miter status
+ RetValue = Fra_FraigMiterStatus( pNew );
+ Aig_ManStop( pNew );
+
+ // report the miter
+ if ( RetValue == 1 )
+ printf( "Networks are equivalent after seq sweeping with K=%d frames (%d iters). ", nFrames, nIter );
+ else if ( RetValue == 0 )
+ printf( "Networks are NOT EQUIVALENT. " );
+ else
+ printf( "Networks are UNDECIDED after seq sweeping with K=%d frames (%d iters). ", nFrames, nIter );
+PRT( "Time", clock() - clkTotal );
+ return RetValue;
+}
+
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fra_FraigSec( Aig_Man_t * p, int nFramesMax, int fRetimeFirst, int fVerbose, int fVeryVerbose )
+{
+ Fra_Sml_t * pSml;
+ Aig_Man_t * pNew, * pTemp;
+ int nFrames, RetValue, nIter, clk, clkTotal = clock();
+ int fLatchCorr = 0;
+
+ pNew = Aig_ManDup( p, 1 );
+ if ( fVerbose )
+ {
+ printf( "Original miter: Latches = %5d. Nodes = %6d.\n",
+ Aig_ManRegNum(pNew), Aig_ManNodeNum(pNew) );
+ }
+//Aig_ManDumpBlif( pNew, "after.blif" );
+
+ // perform sequential cleanup
+clk = clock();
+ if ( pNew->nRegs )
+ pNew = Aig_ManReduceLaches( pNew, 0 );
+ if ( pNew->nRegs )
+ pNew = Aig_ManConstReduce( pNew, 0 );
+ if ( fVerbose )
+ {
+ printf( "Sequential cleanup: Latches = %5d. Nodes = %6d. ",
+ Aig_ManRegNum(pNew), Aig_ManNodeNum(pNew) );
+PRT( "Time", clock() - clk );
+ }
+
+ // perform forward retiming
+ if ( fRetimeFirst && pNew->nRegs )
+ {
+clk = clock();
+ pNew = Rtm_ManRetime( pTemp = pNew, 1, 1000, 0 );
+ Aig_ManStop( pTemp );
+ if ( fVerbose )
+ {
+ printf( "Forward retiming: Latches = %5d. Nodes = %6d. ",
+ Aig_ManRegNum(pNew), Aig_ManNodeNum(pNew) );
+PRT( "Time", clock() - clk );
+ }
+ }
+
+ // run latch correspondence
+clk = clock();
+ if ( pNew->nRegs )
+ {
+ pNew = Aig_ManDup( pTemp = pNew, 1 );
+ Aig_ManStop( pTemp );
+ pNew = Fra_FraigLatchCorrespondence( pTemp = pNew, 0, 100000, 1, fVeryVerbose, &nIter );
+ Aig_ManStop( pTemp );
+ if ( pNew == NULL )
+ {
+ RetValue = 0;
+ printf( "Networks are NOT EQUIVALENT after simulation. " );
+PRT( "Time", clock() - clkTotal );
+ return RetValue;
+ }
+
+ if ( fVerbose )
+ {
+ printf( "Latch-corr (I=%3d): Latches = %5d. Nodes = %6d. ",
+ nIter, Aig_ManRegNum(pNew), Aig_ManNodeNum(pNew) );
+PRT( "Time", clock() - clk );
+ }
+ }
+
+ // perform fraiging
+clk = clock();
+ pNew = Fra_FraigEquivence( pTemp = pNew, 100 );
+ Aig_ManStop( pTemp );
+ if ( fVerbose )
+ {
+ printf( "Fraiging: Latches = %5d. Nodes = %6d. ",
+ Aig_ManRegNum(pNew), Aig_ManNodeNum(pNew) );
+PRT( "Time", clock() - clk );
+ }
+
+ // perform seq sweeping while increasing the number of frames
+ RetValue = Fra_FraigMiterStatus( pNew );
+ if ( RetValue == -1 )
+ for ( nFrames = 1; nFrames <= nFramesMax; nFrames *= 2 )
+ {
+clk = clock();
+ pNew = Fra_FraigInduction( pTemp = pNew, 0, nFrames, 0, 0, 0, fLatchCorr, 0, fVeryVerbose, &nIter );
+ Aig_ManStop( pTemp );
+ RetValue = Fra_FraigMiterStatus( pNew );
+ if ( fVerbose )
+ {
+ printf( "K-step (K=%2d,I=%3d): Latches = %5d. Nodes = %6d. ",
+ nFrames, nIter, Aig_ManRegNum(pNew), Aig_ManNodeNum(pNew) );
+PRT( "Time", clock() - clk );
+ }
+ if ( RetValue != -1 )
+ break;
+
+ // perform rewriting
+clk = clock();
+ pNew = Aig_ManDup( pTemp = pNew, 1 );
+ Aig_ManStop( pTemp );
+ pNew = Dar_ManRewriteDefault( pTemp = pNew );
+ Aig_ManStop( pTemp );
+ if ( fVerbose )
+ {
+ printf( "Rewriting: Latches = %5d. Nodes = %6d. ",
+ Aig_ManRegNum(pNew), Aig_ManNodeNum(pNew) );
+PRT( "Time", clock() - clk );
+ }
+
+ // perform retiming
+// if ( fRetimeFirst && pNew->nRegs )
+ if ( pNew->nRegs )
+ {
+clk = clock();
+ pNew = Rtm_ManRetime( pTemp = pNew, 1, 1000, 0 );
+ Aig_ManStop( pTemp );
+ pNew = Aig_ManDup( pTemp = pNew, 1 );
+ Aig_ManStop( pTemp );
+ if ( fVerbose )
+ {
+ printf( "Forward retiming: Latches = %5d. Nodes = %6d. ",
+ Aig_ManRegNum(pNew), Aig_ManNodeNum(pNew) );
+PRT( "Time", clock() - clk );
+ }
+ }
+
+ if ( pNew->nRegs )
+ pNew = Aig_ManConstReduce( pNew, 0 );
+
+ // perform sequential simulation
+clk = clock();
+ pSml = Fra_SmlSimulateSeq( pNew, 0, 128 * nFrames, 1 + 16/(1+Aig_ManNodeNum(pNew)/1000) );
+ if ( fVerbose )
+ {
+ printf( "Seq simulation : Latches = %5d. Nodes = %6d. ",
+ Aig_ManRegNum(pNew), Aig_ManNodeNum(pNew) );
+PRT( "Time", clock() - clk );
+ }
+ if ( pSml->fNonConstOut )
+ {
+ Fra_SmlStop( pSml );
+ Aig_ManStop( pNew );
+ RetValue = 0;
+ printf( "Networks are NOT EQUIVALENT after simulation. " );
+PRT( "Time", clock() - clkTotal );
+ return RetValue;
+ }
+ Fra_SmlStop( pSml );
+ }
+
+ // get the miter status
+ RetValue = Fra_FraigMiterStatus( pNew );
+
+ // report the miter
+ if ( RetValue == 1 )
+ {
+ printf( "Networks are equivalent. " );
+PRT( "Time", clock() - clkTotal );
+ }
+ else if ( RetValue == 0 )
+ {
+ printf( "Networks are NOT EQUIVALENT. " );
+PRT( "Time", clock() - clkTotal );
+ }
+ else
+ {
+ static int Counter = 1;
+ char pFileName[1000];
+ printf( "Networks are UNDECIDED. " );
+PRT( "Time", clock() - clkTotal );
+ sprintf( pFileName, "sm%03d.aig", Counter++ );
+ Ioa_WriteAiger( pNew, pFileName, 0 );
+ printf( "The unsolved reduced miter is written into file \"%s\".\n", pFileName );
+ }
+ Aig_ManStop( pNew );
+ return RetValue;
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/fra/fraSim.c b/src/aig/fra/fraSim.c
new file mode 100644
index 00000000..b77c775a
--- /dev/null
+++ b/src/aig/fra/fraSim.c
@@ -0,0 +1,823 @@
+/**CFile****************************************************************
+
+ FileName [fraSim.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [New FRAIG package.]
+
+ Synopsis []
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - June 30, 2007.]
+
+ Revision [$Id: fraSim.c,v 1.00 2007/06/30 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "fra.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Computes hash value of the node using its simulation info.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fra_SmlNodeHash( Aig_Obj_t * pObj, int nTableSize )
+{
+ Fra_Man_t * p = pObj->pData;
+ static int s_FPrimes[128] = {
+ 1009, 1049, 1093, 1151, 1201, 1249, 1297, 1361, 1427, 1459,
+ 1499, 1559, 1607, 1657, 1709, 1759, 1823, 1877, 1933, 1997,
+ 2039, 2089, 2141, 2213, 2269, 2311, 2371, 2411, 2467, 2543,
+ 2609, 2663, 2699, 2741, 2797, 2851, 2909, 2969, 3037, 3089,
+ 3169, 3221, 3299, 3331, 3389, 3461, 3517, 3557, 3613, 3671,
+ 3719, 3779, 3847, 3907, 3943, 4013, 4073, 4129, 4201, 4243,
+ 4289, 4363, 4441, 4493, 4549, 4621, 4663, 4729, 4793, 4871,
+ 4933, 4973, 5021, 5087, 5153, 5227, 5281, 5351, 5417, 5471,
+ 5519, 5573, 5651, 5693, 5749, 5821, 5861, 5923, 6011, 6073,
+ 6131, 6199, 6257, 6301, 6353, 6397, 6481, 6563, 6619, 6689,
+ 6737, 6803, 6863, 6917, 6977, 7027, 7109, 7187, 7237, 7309,
+ 7393, 7477, 7523, 7561, 7607, 7681, 7727, 7817, 7877, 7933,
+ 8011, 8039, 8059, 8081, 8093, 8111, 8123, 8147
+ };
+ unsigned * pSims;
+ unsigned uHash;
+ int i;
+// assert( p->pSml->nWordsTotal <= 128 );
+ uHash = 0;
+ pSims = Fra_ObjSim(p->pSml, pObj->Id);
+ for ( i = p->pSml->nWordsPref; i < p->pSml->nWordsTotal; i++ )
+ uHash ^= pSims[i] * s_FPrimes[i & 0x7F];
+ return uHash % nTableSize;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns 1 if simulation info is composed of all zeros.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fra_SmlNodeIsConst( Aig_Obj_t * pObj )
+{
+ Fra_Man_t * p = pObj->pData;
+ unsigned * pSims;
+ int i;
+ pSims = Fra_ObjSim(p->pSml, pObj->Id);
+ for ( i = p->pSml->nWordsPref; i < p->pSml->nWordsTotal; i++ )
+ if ( pSims[i] )
+ return 0;
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns 1 if simulation infos are equal.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fra_SmlNodesAreEqual( Aig_Obj_t * pObj0, Aig_Obj_t * pObj1 )
+{
+ Fra_Man_t * p = pObj0->pData;
+ unsigned * pSims0, * pSims1;
+ int i;
+ pSims0 = Fra_ObjSim(p->pSml, pObj0->Id);
+ pSims1 = Fra_ObjSim(p->pSml, pObj1->Id);
+ for ( i = p->pSml->nWordsPref; i < p->pSml->nWordsTotal; i++ )
+ if ( pSims0[i] != pSims1[i] )
+ return 0;
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Counts the number of 1s in the XOR of simulation data.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fra_SmlNodeNotEquWeight( Fra_Sml_t * p, int Left, int Right )
+{
+ unsigned * pSimL, * pSimR;
+ int k, Counter = 0;
+ pSimL = Fra_ObjSim( p, Left );
+ pSimR = Fra_ObjSim( p, Right );
+ for ( k = p->nWordsPref; k < p->nWordsTotal; k++ )
+ Counter += Aig_WordCountOnes( pSimL[k] ^ pSimR[k] );
+ return Counter;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns 1 if simulation info is composed of all zeros.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fra_SmlNodeIsZero( Fra_Sml_t * p, Aig_Obj_t * pObj )
+{
+ unsigned * pSims;
+ int i;
+ pSims = Fra_ObjSim(p, pObj->Id);
+ for ( i = p->nWordsPref; i < p->nWordsTotal; i++ )
+ if ( pSims[i] )
+ return 0;
+ return 1;
+}
+
+
+
+/**Function*************************************************************
+
+ Synopsis [Generated const 0 pattern.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_SmlSavePattern0( Fra_Man_t * p, int fInit )
+{
+ memset( p->pPatWords, 0, sizeof(unsigned) * p->nPatWords );
+}
+
+/**Function*************************************************************
+
+ Synopsis [[Generated const 1 pattern.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_SmlSavePattern1( Fra_Man_t * p, int fInit )
+{
+ Aig_Obj_t * pObj;
+ int i, k, nTruePis;
+ memset( p->pPatWords, 0xff, sizeof(unsigned) * p->nPatWords );
+ if ( !fInit )
+ return;
+ // clear the state bits to correspond to all-0 initial state
+ nTruePis = Aig_ManPiNum(p->pManAig) - Aig_ManRegNum(p->pManAig);
+ k = 0;
+ Aig_ManForEachLoSeq( p->pManAig, pObj, i )
+ Aig_InfoXorBit( p->pPatWords, nTruePis * p->nFramesAll + k++ );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Copy pattern from the solver into the internal storage.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_SmlSavePattern( Fra_Man_t * p )
+{
+ Aig_Obj_t * pObj;
+ int i;
+ memset( p->pPatWords, 0, sizeof(unsigned) * p->nPatWords );
+ Aig_ManForEachPi( p->pManFraig, pObj, i )
+ if ( p->pSat->model.ptr[Fra_ObjSatNum(pObj)] == l_True )
+ Aig_InfoSetBit( p->pPatWords, i );
+
+ if ( p->vCex )
+ {
+ Vec_IntClear( p->vCex );
+ for ( i = 0; i < Aig_ManPiNum(p->pManAig) - Aig_ManRegNum(p->pManAig); i++ )
+ Vec_IntPush( p->vCex, Aig_InfoHasBit( p->pPatWords, i ) );
+ for ( i = Aig_ManPiNum(p->pManFraig) - Aig_ManRegNum(p->pManFraig); i < Aig_ManPiNum(p->pManFraig); i++ )
+ Vec_IntPush( p->vCex, Aig_InfoHasBit( p->pPatWords, i ) );
+ }
+
+/*
+ printf( "Pattern: " );
+ Aig_ManForEachPi( p->pManFraig, pObj, i )
+ printf( "%d", Aig_InfoHasBit( p->pPatWords, i ) );
+ printf( "\n" );
+*/
+}
+
+
+
+/**Function*************************************************************
+
+ Synopsis [Creates the counter-example from the successful pattern.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_SmlCheckOutputSavePattern( Fra_Man_t * p, Aig_Obj_t * pObj )
+{
+ unsigned * pSims;
+ int i, k, BestPat, * pModel;
+ // find the word of the pattern
+ pSims = Fra_ObjSim(p->pSml, pObj->Id);
+ for ( i = 0; i < p->pSml->nWordsTotal; i++ )
+ if ( pSims[i] )
+ break;
+ assert( i < p->pSml->nWordsTotal );
+ // find the bit of the pattern
+ for ( k = 0; k < 32; k++ )
+ if ( pSims[i] & (1 << k) )
+ break;
+ assert( k < 32 );
+ // determine the best pattern
+ BestPat = i * 32 + k;
+ // fill in the counter-example data
+ pModel = ALLOC( int, Aig_ManPiNum(p->pManFraig) );
+ Aig_ManForEachPi( p->pManAig, pObj, i )
+ {
+ pModel[i] = Aig_InfoHasBit(Fra_ObjSim(p->pSml, pObj->Id), BestPat);
+// printf( "%d", pModel[i] );
+ }
+// printf( "\n" );
+ // set the model
+ assert( p->pManFraig->pData == NULL );
+ p->pManFraig->pData = pModel;
+ return;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns 1 if the one of the output is already non-constant 0.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fra_SmlCheckOutput( Fra_Man_t * p )
+{
+ Aig_Obj_t * pObj;
+ int i;
+ // make sure the reference simulation pattern does not detect the bug
+ pObj = Aig_ManPo( p->pManAig, 0 );
+ assert( Aig_ObjFanin0(pObj)->fPhase == (unsigned)Aig_ObjFaninC0(pObj) );
+ Aig_ManForEachPo( p->pManAig, pObj, i )
+ {
+ if ( !Fra_SmlNodeIsConst( Aig_ObjFanin0(pObj) ) )
+ {
+ // create the counter-example from this pattern
+ Fra_SmlCheckOutputSavePattern( p, Aig_ObjFanin0(pObj) );
+ return 1;
+ }
+ }
+ return 0;
+}
+
+
+
+/**Function*************************************************************
+
+ Synopsis [Assigns random patterns to the PI node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_SmlAssignRandom( Fra_Sml_t * p, Aig_Obj_t * pObj )
+{
+ unsigned * pSims;
+ int i;
+ assert( Aig_ObjIsPi(pObj) );
+ pSims = Fra_ObjSim( p, pObj->Id );
+ for ( i = 0; i < p->nWordsTotal; i++ )
+ pSims[i] = Fra_ObjRandomSim();
+}
+
+/**Function*************************************************************
+
+ Synopsis [Assigns constant patterns to the PI node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_SmlAssignConst( Fra_Sml_t * p, Aig_Obj_t * pObj, int fConst1, int iFrame )
+{
+ unsigned * pSims;
+ int i;
+ assert( Aig_ObjIsPi(pObj) );
+ pSims = Fra_ObjSim( p, pObj->Id ) + p->nWordsFrame * iFrame;
+ for ( i = 0; i < p->nWordsFrame; i++ )
+ pSims[i] = fConst1? ~(unsigned)0 : 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Assings random simulation info for the PIs.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_SmlInitialize( Fra_Sml_t * p, int fInit )
+{
+ Aig_Obj_t * pObj;
+ int i;
+ if ( fInit )
+ {
+ assert( Aig_ManRegNum(p->pAig) > 0 );
+ assert( Aig_ManRegNum(p->pAig) < Aig_ManPiNum(p->pAig) );
+ // assign random info for primary inputs
+ Aig_ManForEachPiSeq( p->pAig, pObj, i )
+ Fra_SmlAssignRandom( p, pObj );
+ // assign the initial state for the latches
+ Aig_ManForEachLoSeq( p->pAig, pObj, i )
+ Fra_SmlAssignConst( p, pObj, 0, 0 );
+ }
+ else
+ {
+ Aig_ManForEachPi( p->pAig, pObj, i )
+ Fra_SmlAssignRandom( p, pObj );
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Assings distance-1 simulation info for the PIs.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_SmlAssignDist1( Fra_Sml_t * p, unsigned * pPat )
+{
+ Aig_Obj_t * pObj;
+ int f, i, k, Limit, nTruePis;
+ assert( p->nFrames > 0 );
+ if ( p->nFrames == 1 )
+ {
+ // copy the PI info
+ Aig_ManForEachPi( p->pAig, pObj, i )
+ Fra_SmlAssignConst( p, pObj, Aig_InfoHasBit(pPat, i), 0 );
+ // flip one bit
+ Limit = AIG_MIN( Aig_ManPiNum(p->pAig), p->nWordsTotal * 32 - 1 );
+ for ( i = 0; i < Limit; i++ )
+ Aig_InfoXorBit( Fra_ObjSim( p, Aig_ManPi(p->pAig,i)->Id ), i+1 );
+ }
+ else
+ {
+ int fUseDist1 = 0;
+
+ // copy the PI info for each frame
+ nTruePis = Aig_ManPiNum(p->pAig) - Aig_ManRegNum(p->pAig);
+ for ( f = 0; f < p->nFrames; f++ )
+ Aig_ManForEachPiSeq( p->pAig, pObj, i )
+ Fra_SmlAssignConst( p, pObj, Aig_InfoHasBit(pPat, nTruePis * f + i), f );
+ // copy the latch info
+ k = 0;
+ Aig_ManForEachLoSeq( p->pAig, pObj, i )
+ Fra_SmlAssignConst( p, pObj, Aig_InfoHasBit(pPat, nTruePis * p->nFrames + k++), 0 );
+// assert( p->pManFraig == NULL || nTruePis * p->nFrames + k == Aig_ManPiNum(p->pManFraig) );
+
+ // flip one bit of the last frame
+ if ( fUseDist1 ) //&& p->nFrames == 2 )
+ {
+ Limit = AIG_MIN( nTruePis, p->nWordsFrame * 32 - 1 );
+ for ( i = 0; i < Limit; i++ )
+ Aig_InfoXorBit( Fra_ObjSim( p, Aig_ManPi(p->pAig, i)->Id ) + p->nWordsFrame*(p->nFrames-1), i+1 );
+ }
+ }
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Simulates one node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_SmlNodeSimulate( Fra_Sml_t * p, Aig_Obj_t * pObj, int iFrame )
+{
+ unsigned * pSims, * pSims0, * pSims1;
+ int fCompl, fCompl0, fCompl1, i;
+ assert( !Aig_IsComplement(pObj) );
+ assert( Aig_ObjIsNode(pObj) );
+ assert( iFrame == 0 || p->nWordsFrame < p->nWordsTotal );
+ // get hold of the simulation information
+ pSims = Fra_ObjSim(p, pObj->Id) + p->nWordsFrame * iFrame;
+ pSims0 = Fra_ObjSim(p, Aig_ObjFanin0(pObj)->Id) + p->nWordsFrame * iFrame;
+ pSims1 = Fra_ObjSim(p, Aig_ObjFanin1(pObj)->Id) + p->nWordsFrame * iFrame;
+ // get complemented attributes of the children using their random info
+ fCompl = pObj->fPhase;
+ fCompl0 = Aig_ObjPhaseReal(Aig_ObjChild0(pObj));
+ fCompl1 = Aig_ObjPhaseReal(Aig_ObjChild1(pObj));
+ // simulate
+ if ( fCompl0 && fCompl1 )
+ {
+ if ( fCompl )
+ for ( i = 0; i < p->nWordsFrame; i++ )
+ pSims[i] = (pSims0[i] | pSims1[i]);
+ else
+ for ( i = 0; i < p->nWordsFrame; i++ )
+ pSims[i] = ~(pSims0[i] | pSims1[i]);
+ }
+ else if ( fCompl0 && !fCompl1 )
+ {
+ if ( fCompl )
+ for ( i = 0; i < p->nWordsFrame; i++ )
+ pSims[i] = (pSims0[i] | ~pSims1[i]);
+ else
+ for ( i = 0; i < p->nWordsFrame; i++ )
+ pSims[i] = (~pSims0[i] & pSims1[i]);
+ }
+ else if ( !fCompl0 && fCompl1 )
+ {
+ if ( fCompl )
+ for ( i = 0; i < p->nWordsFrame; i++ )
+ pSims[i] = (~pSims0[i] | pSims1[i]);
+ else
+ for ( i = 0; i < p->nWordsFrame; i++ )
+ pSims[i] = (pSims0[i] & ~pSims1[i]);
+ }
+ else // if ( !fCompl0 && !fCompl1 )
+ {
+ if ( fCompl )
+ for ( i = 0; i < p->nWordsFrame; i++ )
+ pSims[i] = ~(pSims0[i] & pSims1[i]);
+ else
+ for ( i = 0; i < p->nWordsFrame; i++ )
+ pSims[i] = (pSims0[i] & pSims1[i]);
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Simulates one node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_SmlNodeCopyFanin( Fra_Sml_t * p, Aig_Obj_t * pObj, int iFrame )
+{
+ unsigned * pSims, * pSims0;
+ int fCompl, fCompl0, i;
+ assert( !Aig_IsComplement(pObj) );
+ assert( Aig_ObjIsPo(pObj) );
+ assert( iFrame == 0 || p->nWordsFrame < p->nWordsTotal );
+ // get hold of the simulation information
+ pSims = Fra_ObjSim(p, pObj->Id) + p->nWordsFrame * iFrame;
+ pSims0 = Fra_ObjSim(p, Aig_ObjFanin0(pObj)->Id) + p->nWordsFrame * iFrame;
+ // get complemented attributes of the children using their random info
+ fCompl = pObj->fPhase;
+ fCompl0 = Aig_ObjPhaseReal(Aig_ObjChild0(pObj));
+ // copy information as it is
+ if ( fCompl0 )
+ for ( i = 0; i < p->nWordsFrame; i++ )
+ pSims[i] = ~pSims0[i];
+ else
+ for ( i = 0; i < p->nWordsFrame; i++ )
+ pSims[i] = pSims0[i];
+}
+
+/**Function*************************************************************
+
+ Synopsis [Simulates one node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_SmlNodeTransferNext( Fra_Sml_t * p, Aig_Obj_t * pOut, Aig_Obj_t * pIn, int iFrame )
+{
+ unsigned * pSims0, * pSims1;
+ int i;
+ assert( !Aig_IsComplement(pOut) );
+ assert( !Aig_IsComplement(pIn) );
+ assert( Aig_ObjIsPo(pOut) );
+ assert( Aig_ObjIsPi(pIn) );
+ assert( iFrame == 0 || p->nWordsFrame < p->nWordsTotal );
+ // get hold of the simulation information
+ pSims0 = Fra_ObjSim(p, pOut->Id) + p->nWordsFrame * iFrame;
+ pSims1 = Fra_ObjSim(p, pIn->Id) + p->nWordsFrame * (iFrame+1);
+ // copy information as it is
+ for ( i = 0; i < p->nWordsFrame; i++ )
+ pSims1[i] = pSims0[i];
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Check if any of the POs becomes non-constant.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fra_SmlCheckNonConstOutputs( Fra_Sml_t * p )
+{
+ Aig_Obj_t * pObj;
+ int i;
+ Aig_ManForEachPoSeq( p->pAig, pObj, i )
+ if ( !Fra_SmlNodeIsZero(p, pObj) )
+ return 1;
+ return 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Simulates AIG manager.]
+
+ Description [Assumes that the PI simulation info is attached.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_SmlSimulateOne( Fra_Sml_t * p )
+{
+ Aig_Obj_t * pObj, * pObjLi, * pObjLo;
+ int f, i, clk;
+clk = clock();
+ for ( f = 0; f < p->nFrames; f++ )
+ {
+ // simulate the nodes
+ Aig_ManForEachNode( p->pAig, pObj, i )
+ Fra_SmlNodeSimulate( p, pObj, f );
+ // copy simulation info into outputs
+ Aig_ManForEachPoSeq( p->pAig, pObj, i )
+ Fra_SmlNodeCopyFanin( p, pObj, f );
+ // quit if this is the last timeframe
+ if ( f == p->nFrames - 1 )
+ break;
+ // copy simulation info into outputs
+ Aig_ManForEachLiSeq( p->pAig, pObj, i )
+ Fra_SmlNodeCopyFanin( p, pObj, f );
+ // copy simulation info into the inputs
+ Aig_ManForEachLiLoSeq( p->pAig, pObjLi, pObjLo, i )
+ Fra_SmlNodeTransferNext( p, pObjLi, pObjLo, f );
+ }
+p->timeSim += clock() - clk;
+p->nSimRounds++;
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Resimulates fraiging manager after finding a counter-example.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_SmlResimulate( Fra_Man_t * p )
+{
+ int nChanges, clk;
+ Fra_SmlAssignDist1( p->pSml, p->pPatWords );
+ Fra_SmlSimulateOne( p->pSml );
+// if ( p->pPars->fPatScores )
+// Fra_CleanPatScores( p );
+ if ( p->pPars->fProve && Fra_SmlCheckOutput(p) )
+ return;
+clk = clock();
+ nChanges = Fra_ClassesRefine( p->pCla );
+ nChanges += Fra_ClassesRefine1( p->pCla, 1, NULL );
+ if ( p->pCla->vImps )
+ nChanges += Fra_ImpRefineUsingCex( p, p->pCla->vImps );
+p->timeRef += clock() - clk;
+ if ( !p->pPars->nFramesK && nChanges < 1 )
+ printf( "Error: A counter-example did not refine classes!\n" );
+// assert( nChanges >= 1 );
+//printf( "Refined classes = %5d. Changes = %4d.\n", Vec_PtrSize(p->vClasses), nChanges );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs simulation of the manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_SmlSimulate( Fra_Man_t * p, int fInit )
+{
+ int fVerbose = 0;
+ int nChanges, nClasses, clk;
+ assert( !fInit || Aig_ManRegNum(p->pManAig) );
+ // start the classes
+ Fra_SmlInitialize( p->pSml, fInit );
+ Fra_SmlSimulateOne( p->pSml );
+ Fra_ClassesPrepare( p->pCla, p->pPars->fLatchCorr );
+// Fra_ClassesPrint( p->pCla, 0 );
+if ( fVerbose )
+printf( "Starting classes = %5d. Lits = %6d.\n", Vec_PtrSize(p->pCla->vClasses), Fra_ClassesCountLits(p->pCla) );
+
+//return;
+
+ // refine classes by walking 0/1 patterns
+ Fra_SmlSavePattern0( p, fInit );
+ Fra_SmlAssignDist1( p->pSml, p->pPatWords );
+ Fra_SmlSimulateOne( p->pSml );
+ if ( p->pPars->fProve && Fra_SmlCheckOutput(p) )
+ return;
+clk = clock();
+ nChanges = Fra_ClassesRefine( p->pCla );
+ nChanges += Fra_ClassesRefine1( p->pCla, 1, NULL );
+p->timeRef += clock() - clk;
+if ( fVerbose )
+printf( "Refined classes = %5d. Changes = %4d. Lits = %6d.\n", Vec_PtrSize(p->pCla->vClasses), nChanges, Fra_ClassesCountLits(p->pCla) );
+ Fra_SmlSavePattern1( p, fInit );
+ Fra_SmlAssignDist1( p->pSml, p->pPatWords );
+ Fra_SmlSimulateOne( p->pSml );
+ if ( p->pPars->fProve && Fra_SmlCheckOutput(p) )
+ return;
+clk = clock();
+ nChanges = Fra_ClassesRefine( p->pCla );
+ nChanges += Fra_ClassesRefine1( p->pCla, 1, NULL );
+p->timeRef += clock() - clk;
+
+if ( fVerbose )
+printf( "Refined classes = %5d. Changes = %4d. Lits = %6d.\n", Vec_PtrSize(p->pCla->vClasses), nChanges, Fra_ClassesCountLits(p->pCla) );
+ // refine classes by random simulation
+ do {
+ Fra_SmlInitialize( p->pSml, fInit );
+ Fra_SmlSimulateOne( p->pSml );
+ nClasses = Vec_PtrSize(p->pCla->vClasses);
+ if ( p->pPars->fProve && Fra_SmlCheckOutput(p) )
+ return;
+clk = clock();
+ nChanges = Fra_ClassesRefine( p->pCla );
+ nChanges += Fra_ClassesRefine1( p->pCla, 1, NULL );
+p->timeRef += clock() - clk;
+if ( fVerbose )
+printf( "Refined classes = %5d. Changes = %4d. Lits = %6d.\n", Vec_PtrSize(p->pCla->vClasses), nChanges, Fra_ClassesCountLits(p->pCla) );
+ } while ( (double)nChanges / nClasses > p->pPars->dSimSatur );
+
+// if ( p->pPars->fVerbose )
+// printf( "Consts = %6d. Classes = %6d. Literals = %6d.\n",
+// Vec_PtrSize(p->pCla->vClasses1), Vec_PtrSize(p->pCla->vClasses), Fra_ClassesCountLits(p->pCla) );
+// Fra_ClassesPrint( p->pCla, 0 );
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Allocates simulation manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Fra_Sml_t * Fra_SmlStart( Aig_Man_t * pAig, int nPref, int nFrames, int nWordsFrame )
+{
+ Fra_Sml_t * p;
+ p = (Fra_Sml_t *)malloc( sizeof(Fra_Sml_t) + sizeof(unsigned) * Aig_ManObjNumMax(pAig) * (nPref + nFrames) * nWordsFrame );
+ memset( p, 0, sizeof(Fra_Sml_t) + sizeof(unsigned) * (nPref + nFrames) * nWordsFrame );
+ p->pAig = pAig;
+ p->nPref = nPref;
+ p->nFrames = nPref + nFrames;
+ p->nWordsFrame = nWordsFrame;
+ p->nWordsTotal = (nPref + nFrames) * nWordsFrame;
+ p->nWordsPref = nPref * nWordsFrame;
+ return p;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Deallocates simulation manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fra_SmlStop( Fra_Sml_t * p )
+{
+ free( p );
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Performs simulation of the uninitialized circuit.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Fra_Sml_t * Fra_SmlSimulateComb( Aig_Man_t * pAig, int nWords )
+{
+ Fra_Sml_t * p;
+ p = Fra_SmlStart( pAig, 0, 1, nWords );
+ Fra_SmlInitialize( p, 0 );
+ Fra_SmlSimulateOne( p );
+ return p;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs simulation of the initialized circuit.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Fra_Sml_t * Fra_SmlSimulateSeq( Aig_Man_t * pAig, int nPref, int nFrames, int nWords )
+{
+ Fra_Sml_t * p;
+ p = Fra_SmlStart( pAig, nPref, nFrames, nWords );
+ Fra_SmlInitialize( p, 1 );
+ Fra_SmlSimulateOne( p );
+ p->fNonConstOut = Fra_SmlCheckNonConstOutputs( p );
+ return p;
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/fra/fra_.c b/src/aig/fra/fra_.c
new file mode 100644
index 00000000..2b601587
--- /dev/null
+++ b/src/aig/fra/fra_.c
@@ -0,0 +1,48 @@
+/**CFile****************************************************************
+
+ FileName [fra_.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [New FRAIG package.]
+
+ Synopsis []
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - June 30, 2007.]
+
+ Revision [$Id: fra_.c,v 1.00 2007/06/30 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "fra.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/fra/module.make b/src/aig/fra/module.make
new file mode 100644
index 00000000..e7264fdc
--- /dev/null
+++ b/src/aig/fra/module.make
@@ -0,0 +1,12 @@
+SRC += src/aig/fra/fraBmc.c \
+ src/aig/fra/fraCec.c \
+ src/aig/fra/fraClass.c \
+ src/aig/fra/fraCnf.c \
+ src/aig/fra/fraCore.c \
+ src/aig/fra/fraImp.c \
+ src/aig/fra/fraInd.c \
+ src/aig/fra/fraLcr.c \
+ src/aig/fra/fraMan.c \
+ src/aig/fra/fraSat.c \
+ src/aig/fra/fraSec.c \
+ src/aig/fra/fraSim.c
diff --git a/src/aig/hop/cudd2.c b/src/aig/hop/cudd2.c
new file mode 100644
index 00000000..28d13ce0
--- /dev/null
+++ b/src/aig/hop/cudd2.c
@@ -0,0 +1,355 @@
+/**CFile****************************************************************
+
+ FileName [cudd2.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [Minimalistic And-Inverter Graph package.]
+
+ Synopsis [Recording AIGs for the BDD operations.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - October 3, 2006.]
+
+ Revision [$Id: cudd2.c,v 1.00 2006/10/03 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "hop.h"
+#include "st.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+typedef struct Aig_CuddMan_t_ Aig_CuddMan_t;
+struct Aig_CuddMan_t_
+{
+ Aig_Man_t * pAig; // internal AIG package
+ st_table * pTable; // hash table mapping BDD nodes into AIG nodes
+};
+
+// static Cudd AIG manager used in this experiment
+static Aig_CuddMan_t * s_pCuddMan = NULL;
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Start AIG recording.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Cudd2_Init( unsigned int numVars, unsigned int numVarsZ, unsigned int numSlots, unsigned int cacheSize, unsigned long maxMemory, void * pCudd )
+{
+ int v;
+ // start the BDD-to-AIG manager when the first BDD manager is allocated
+ if ( s_pCuddMan != NULL )
+ return;
+ s_pCuddMan = ALLOC( Aig_CuddMan_t, 1 );
+ s_pCuddMan->pAig = Aig_ManStart();
+ s_pCuddMan->pTable = st_init_table( st_ptrcmp, st_ptrhash );
+ for ( v = 0; v < (int)numVars; v++ )
+ Aig_ObjCreatePi( s_pCuddMan->pAig );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Stops AIG recording.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Cudd2_Quit( void * pCudd )
+{
+ assert( s_pCuddMan != NULL );
+ Aig_ManDumpBlif( s_pCuddMan->pAig, "aig_temp.blif" );
+ Aig_ManStop( s_pCuddMan->pAig );
+ st_free_table( s_pCuddMan->pTable );
+ free( s_pCuddMan );
+ s_pCuddMan = NULL;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Fetches AIG node corresponding to the BDD node from the hash table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static Aig_Obj_t * Cudd2_GetArg( void * pArg )
+{
+ Aig_Obj_t * pNode;
+ assert( s_pCuddMan != NULL );
+ if ( !st_lookup( s_pCuddMan->pTable, (char *)Aig_Regular(pArg), (char **)&pNode ) )
+ {
+ printf( "Cudd2_GetArg(): An argument BDD is not in the hash table.\n" );
+ return NULL;
+ }
+ return Aig_NotCond( pNode, Aig_IsComplement(pArg) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Inserts the AIG node corresponding to the BDD node into the hash table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static void Cudd2_SetArg( Aig_Obj_t * pNode, void * pResult )
+{
+ assert( s_pCuddMan != NULL );
+ if ( st_is_member( s_pCuddMan->pTable, (char *)Aig_Regular(pResult) ) )
+ return;
+ pNode = Aig_NotCond( pNode, Aig_IsComplement(pResult) );
+ st_insert( s_pCuddMan->pTable, (char *)Aig_Regular(pResult), (char *)pNode );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Registers constant 1 node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Cudd2_bddOne( void * pCudd, void * pResult )
+{
+ Cudd2_SetArg( Aig_ManConst1(s_pCuddMan->pAig), pResult );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Adds elementary variable.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Cudd2_bddIthVar( void * pCudd, int iVar, void * pResult )
+{
+ int v;
+ assert( s_pCuddMan != NULL );
+ for ( v = Aig_ManPiNum(s_pCuddMan->pAig); v <= iVar; v++ )
+ Aig_ObjCreatePi( s_pCuddMan->pAig );
+ Cudd2_SetArg( Aig_ManPi(s_pCuddMan->pAig, iVar), pResult );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs BDD operation.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Cudd2_bddAnd( void * pCudd, void * pArg0, void * pArg1, void * pResult )
+{
+ Aig_Obj_t * pNode0, * pNode1, * pNode;
+ pNode0 = Cudd2_GetArg( pArg0 );
+ pNode1 = Cudd2_GetArg( pArg1 );
+ pNode = Aig_And( s_pCuddMan->pAig, pNode0, pNode1 );
+ Cudd2_SetArg( pNode, pResult );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs BDD operation.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Cudd2_bddOr( void * pCudd, void * pArg0, void * pArg1, void * pResult )
+{
+ Cudd2_bddAnd( pCudd, Aig_Not(pArg0), Aig_Not(pArg1), Aig_Not(pResult) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs BDD operation.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Cudd2_bddNand( void * pCudd, void * pArg0, void * pArg1, void * pResult )
+{
+ Cudd2_bddAnd( pCudd, pArg0, pArg1, Aig_Not(pResult) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs BDD operation.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Cudd2_bddNor( void * pCudd, void * pArg0, void * pArg1, void * pResult )
+{
+ Cudd2_bddAnd( pCudd, Aig_Not(pArg0), Aig_Not(pArg1), pResult );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs BDD operation.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Cudd2_bddXor( void * pCudd, void * pArg0, void * pArg1, void * pResult )
+{
+ Aig_Obj_t * pNode0, * pNode1, * pNode;
+ pNode0 = Cudd2_GetArg( pArg0 );
+ pNode1 = Cudd2_GetArg( pArg1 );
+ pNode = Aig_Exor( s_pCuddMan->pAig, pNode0, pNode1 );
+ Cudd2_SetArg( pNode, pResult );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs BDD operation.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Cudd2_bddXnor( void * pCudd, void * pArg0, void * pArg1, void * pResult )
+{
+ Cudd2_bddXor( pCudd, pArg0, pArg1, Aig_Not(pResult) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs BDD operation.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Cudd2_bddIte( void * pCudd, void * pArg0, void * pArg1, void * pArg2, void * pResult )
+{
+ Aig_Obj_t * pNode0, * pNode1, * pNode2, * pNode;
+ pNode0 = Cudd2_GetArg( pArg0 );
+ pNode1 = Cudd2_GetArg( pArg1 );
+ pNode2 = Cudd2_GetArg( pArg2 );
+ pNode = Aig_Mux( s_pCuddMan->pAig, pNode0, pNode1, pNode2 );
+ Cudd2_SetArg( pNode, pResult );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs BDD operation.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Cudd2_bddCompose( void * pCudd, void * pArg0, void * pArg1, int v, void * pResult )
+{
+ Aig_Obj_t * pNode0, * pNode1, * pNode;
+ pNode0 = Cudd2_GetArg( pArg0 );
+ pNode1 = Cudd2_GetArg( pArg1 );
+ pNode = Aig_Compose( s_pCuddMan->pAig, pNode0, pNode1, v );
+ Cudd2_SetArg( pNode, pResult );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Should be called after each containment check.]
+
+ Description [Result should be 1 if Cudd2_bddLeq returned 1.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Cudd2_bddLeq( void * pCudd, void * pArg0, void * pArg1, int Result )
+{
+ Aig_Obj_t * pNode0, * pNode1, * pNode;
+ pNode0 = Cudd2_GetArg( pArg0 );
+ pNode1 = Cudd2_GetArg( pArg1 );
+ pNode = Aig_And( s_pCuddMan->pAig, pNode0, Aig_Not(pNode1) );
+ Aig_ObjCreatePo( s_pCuddMan->pAig, pNode );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Should be called after each equality check.]
+
+ Description [Result should be 1 if they are equal.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Cudd2_bddEqual( void * pCudd, void * pArg0, void * pArg1, int Result )
+{
+ Aig_Obj_t * pNode0, * pNode1, * pNode;
+ pNode0 = Cudd2_GetArg( pArg0 );
+ pNode1 = Cudd2_GetArg( pArg1 );
+ pNode = Aig_Exor( s_pCuddMan->pAig, pNode0, pNode1 );
+ Aig_ObjCreatePo( s_pCuddMan->pAig, pNode );
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/hop/cudd2.h b/src/aig/hop/cudd2.h
new file mode 100644
index 00000000..69711c11
--- /dev/null
+++ b/src/aig/hop/cudd2.h
@@ -0,0 +1,82 @@
+/**CFile****************************************************************
+
+ FileName [cudd2.h]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [Minimalistic And-Inverter Graph package.]
+
+ Synopsis [External declarations.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - October 3, 2006.]
+
+ Revision [$Id: cudd2.h,v 1.00 2006/05/11 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#ifndef __CUDD2_H__
+#define __CUDD2_H__
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+// HA: Added for printing messages
+#ifndef MSG
+#define MSG(msg) (printf("%s = \n",(msg)));
+#endif
+
+////////////////////////////////////////////////////////////////////////
+/// INCLUDES ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// PARAMETERS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// BASIC TYPES ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// MACRO DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+
+////////////////////////////////////////////////////////////////////////
+/// ITERATORS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+extern void Cudd2_Init ( unsigned int numVars, unsigned int numVarsZ, unsigned int numSlots, unsigned int cacheSize, unsigned long maxMemory, void * pCudd );
+extern void Cudd2_Quit ( void * pCudd );
+extern void Cudd2_bddOne ( void * pCudd, void * pResult );
+extern void Cudd2_bddIthVar ( void * pCudd, int iVar, void * pResult );
+extern void Cudd2_bddAnd ( void * pCudd, void * pArg0, void * pArg1, void * pResult );
+extern void Cudd2_bddOr ( void * pCudd, void * pArg0, void * pArg1, void * pResult );
+extern void Cudd2_bddNand ( void * pCudd, void * pArg0, void * pArg1, void * pResult );
+extern void Cudd2_bddNor ( void * pCudd, void * pArg0, void * pArg1, void * pResult );
+extern void Cudd2_bddXor ( void * pCudd, void * pArg0, void * pArg1, void * pResult );
+extern void Cudd2_bddXnor ( void * pCudd, void * pArg0, void * pArg1, void * pResult );
+extern void Cudd2_bddIte ( void * pCudd, void * pArg0, void * pArg1, void * pArg2, void * pResult );
+extern void Cudd2_bddCompose( void * pCudd, void * pArg0, void * pArg1, int v, void * pResult );
+extern void Cudd2_bddLeq ( void * pCudd, void * pArg0, void * pArg1, int Result );
+extern void Cudd2_bddEqual ( void * pCudd, void * pArg0, void * pArg1, int Result );
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
diff --git a/src/aig/hop/hop.h b/src/aig/hop/hop.h
new file mode 100644
index 00000000..af1d9cd3
--- /dev/null
+++ b/src/aig/hop/hop.h
@@ -0,0 +1,347 @@
+/**CFile****************************************************************
+
+ FileName [hop.h]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [Minimalistic And-Inverter Graph package.]
+
+ Synopsis [External declarations.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - May 11, 2006.]
+
+ Revision [$Id: hop.h,v 1.00 2006/05/11 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#ifndef __HOP_H__
+#define __HOP_H__
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+////////////////////////////////////////////////////////////////////////
+/// INCLUDES ///
+////////////////////////////////////////////////////////////////////////
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <assert.h>
+#include <time.h>
+
+#include "vec.h"
+
+////////////////////////////////////////////////////////////////////////
+/// PARAMETERS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// BASIC TYPES ///
+////////////////////////////////////////////////////////////////////////
+
+typedef struct Hop_Man_t_ Hop_Man_t;
+typedef struct Hop_Obj_t_ Hop_Obj_t;
+typedef int Hop_Edge_t;
+
+// object types
+typedef enum {
+ AIG_NONE, // 0: non-existent object
+ AIG_CONST1, // 1: constant 1
+ AIG_PI, // 2: primary input
+ AIG_PO, // 3: primary output
+ AIG_AND, // 4: AND node
+ AIG_EXOR, // 5: EXOR node
+ AIG_VOID // 6: unused object
+} Hop_Type_t;
+
+// the AIG node
+struct Hop_Obj_t_ // 6 words
+{
+ void * pData; // misc
+ Hop_Obj_t * pNext; // strashing table
+ Hop_Obj_t * pFanin0; // fanin
+ Hop_Obj_t * pFanin1; // fanin
+ unsigned int Type : 3; // object type
+ unsigned int fPhase : 1; // value under 000...0 pattern
+ unsigned int fMarkA : 1; // multipurpose mask
+ unsigned int fMarkB : 1; // multipurpose mask
+ unsigned int nRefs : 26; // reference count (level)
+ int Id; // unique ID of the node
+};
+
+// the AIG manager
+struct Hop_Man_t_
+{
+ // AIG nodes
+ Vec_Ptr_t * vPis; // the array of PIs
+ Vec_Ptr_t * vPos; // the array of POs
+ Vec_Ptr_t * vObjs; // the array of all nodes (optional)
+ Hop_Obj_t * pConst1; // the constant 1 node
+ Hop_Obj_t Ghost; // the ghost node
+ // AIG node counters
+ int nObjs[AIG_VOID];// the number of objects by type
+ int nCreated; // the number of created objects
+ int nDeleted; // the number of deleted objects
+ // stuctural hash table
+ Hop_Obj_t ** pTable; // structural hash table
+ int nTableSize; // structural hash table size
+ // various data members
+ void * pData; // the temporary data
+ int nTravIds; // the current traversal ID
+ int fRefCount; // enables reference counting
+ int fCatchExor; // enables EXOR nodes
+ // memory management
+ Vec_Ptr_t * vChunks; // allocated memory pieces
+ Vec_Ptr_t * vPages; // memory pages used by nodes
+ Hop_Obj_t * pListFree; // the list of free nodes
+ // timing statistics
+ int time1;
+ int time2;
+};
+
+////////////////////////////////////////////////////////////////////////
+/// MACRO DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+#define AIG_MIN(a,b) (((a) < (b))? (a) : (b))
+#define AIG_MAX(a,b) (((a) > (b))? (a) : (b))
+
+#ifndef PRT
+#define PRT(a,t) printf("%s = ", (a)); printf("%6.2f sec\n", (float)(t)/(float)(CLOCKS_PER_SEC))
+#endif
+
+static inline int Hop_BitWordNum( int nBits ) { return (nBits>>5) + ((nBits&31) > 0); }
+static inline int Hop_TruthWordNum( int nVars ) { return nVars <= 5 ? 1 : (1 << (nVars - 5)); }
+static inline int Hop_InfoHasBit( unsigned * p, int i ) { return (p[(i)>>5] & (1<<((i) & 31))) > 0; }
+static inline void Hop_InfoSetBit( unsigned * p, int i ) { p[(i)>>5] |= (1<<((i) & 31)); }
+static inline void Hop_InfoXorBit( unsigned * p, int i ) { p[(i)>>5] ^= (1<<((i) & 31)); }
+static inline int Hop_Base2Log( unsigned n ) { int r; assert( n >= 0 ); if ( n < 2 ) return n; for ( r = 0, n--; n; n >>= 1, r++ ); return r; }
+static inline int Hop_Base10Log( unsigned n ) { int r; assert( n >= 0 ); if ( n < 2 ) return n; for ( r = 0, n--; n; n /= 10, r++ ); return r; }
+
+static inline Hop_Obj_t * Hop_Regular( Hop_Obj_t * p ) { return (Hop_Obj_t *)((unsigned long)(p) & ~01); }
+static inline Hop_Obj_t * Hop_Not( Hop_Obj_t * p ) { return (Hop_Obj_t *)((unsigned long)(p) ^ 01); }
+static inline Hop_Obj_t * Hop_NotCond( Hop_Obj_t * p, int c ) { return (Hop_Obj_t *)((unsigned long)(p) ^ (c)); }
+static inline int Hop_IsComplement( Hop_Obj_t * p ) { return (int)((unsigned long)(p) & 01); }
+
+static inline Hop_Obj_t * Hop_ManConst0( Hop_Man_t * p ) { return Hop_Not(p->pConst1); }
+static inline Hop_Obj_t * Hop_ManConst1( Hop_Man_t * p ) { return p->pConst1; }
+static inline Hop_Obj_t * Hop_ManGhost( Hop_Man_t * p ) { return &p->Ghost; }
+static inline Hop_Obj_t * Hop_ManPi( Hop_Man_t * p, int i ) { return (Hop_Obj_t *)Vec_PtrEntry(p->vPis, i); }
+static inline Hop_Obj_t * Hop_ManPo( Hop_Man_t * p, int i ) { return (Hop_Obj_t *)Vec_PtrEntry(p->vPos, i); }
+static inline Hop_Obj_t * Hop_ManObj( Hop_Man_t * p, int i ) { return p->vObjs ? (Hop_Obj_t *)Vec_PtrEntry(p->vObjs, i) : NULL; }
+
+static inline Hop_Edge_t Hop_EdgeCreate( int Id, int fCompl ) { return (Id << 1) | fCompl; }
+static inline int Hop_EdgeId( Hop_Edge_t Edge ) { return Edge >> 1; }
+static inline int Hop_EdgeIsComplement( Hop_Edge_t Edge ) { return Edge & 1; }
+static inline Hop_Edge_t Hop_EdgeRegular( Hop_Edge_t Edge ) { return (Edge >> 1) << 1; }
+static inline Hop_Edge_t Hop_EdgeNot( Hop_Edge_t Edge ) { return Edge ^ 1; }
+static inline Hop_Edge_t Hop_EdgeNotCond( Hop_Edge_t Edge, int fCond ) { return Edge ^ fCond; }
+
+static inline int Hop_ManPiNum( Hop_Man_t * p ) { return p->nObjs[AIG_PI]; }
+static inline int Hop_ManPoNum( Hop_Man_t * p ) { return p->nObjs[AIG_PO]; }
+static inline int Hop_ManAndNum( Hop_Man_t * p ) { return p->nObjs[AIG_AND]; }
+static inline int Hop_ManExorNum( Hop_Man_t * p ) { return p->nObjs[AIG_EXOR]; }
+static inline int Hop_ManNodeNum( Hop_Man_t * p ) { return p->nObjs[AIG_AND]+p->nObjs[AIG_EXOR];}
+static inline int Hop_ManGetCost( Hop_Man_t * p ) { return p->nObjs[AIG_AND]+3*p->nObjs[AIG_EXOR]; }
+static inline int Hop_ManObjNum( Hop_Man_t * p ) { return p->nCreated - p->nDeleted; }
+
+static inline Hop_Type_t Hop_ObjType( Hop_Obj_t * pObj ) { return (Hop_Type_t)pObj->Type; }
+static inline int Hop_ObjIsNone( Hop_Obj_t * pObj ) { return pObj->Type == AIG_NONE; }
+static inline int Hop_ObjIsConst1( Hop_Obj_t * pObj ) { assert(!Hop_IsComplement(pObj)); return pObj->Type == AIG_CONST1; }
+static inline int Hop_ObjIsPi( Hop_Obj_t * pObj ) { return pObj->Type == AIG_PI; }
+static inline int Hop_ObjIsPo( Hop_Obj_t * pObj ) { return pObj->Type == AIG_PO; }
+static inline int Hop_ObjIsAnd( Hop_Obj_t * pObj ) { return pObj->Type == AIG_AND; }
+static inline int Hop_ObjIsExor( Hop_Obj_t * pObj ) { return pObj->Type == AIG_EXOR; }
+static inline int Hop_ObjIsNode( Hop_Obj_t * pObj ) { return pObj->Type == AIG_AND || pObj->Type == AIG_EXOR; }
+static inline int Hop_ObjIsTerm( Hop_Obj_t * pObj ) { return pObj->Type == AIG_PI || pObj->Type == AIG_PO || pObj->Type == AIG_CONST1; }
+static inline int Hop_ObjIsHash( Hop_Obj_t * pObj ) { return pObj->Type == AIG_AND || pObj->Type == AIG_EXOR; }
+
+static inline int Hop_ObjIsMarkA( Hop_Obj_t * pObj ) { return pObj->fMarkA; }
+static inline void Hop_ObjSetMarkA( Hop_Obj_t * pObj ) { pObj->fMarkA = 1; }
+static inline void Hop_ObjClearMarkA( Hop_Obj_t * pObj ) { pObj->fMarkA = 0; }
+
+static inline void Hop_ObjSetTravId( Hop_Obj_t * pObj, int TravId ) { pObj->pData = (void *)TravId; }
+static inline void Hop_ObjSetTravIdCurrent( Hop_Man_t * p, Hop_Obj_t * pObj ) { pObj->pData = (void *)p->nTravIds; }
+static inline void Hop_ObjSetTravIdPrevious( Hop_Man_t * p, Hop_Obj_t * pObj ) { pObj->pData = (void *)(p->nTravIds - 1); }
+static inline int Hop_ObjIsTravIdCurrent( Hop_Man_t * p, Hop_Obj_t * pObj ) { return (int )((int)pObj->pData == p->nTravIds); }
+static inline int Hop_ObjIsTravIdPrevious( Hop_Man_t * p, Hop_Obj_t * pObj ) { return (int )((int)pObj->pData == p->nTravIds - 1); }
+
+static inline int Hop_ObjTravId( Hop_Obj_t * pObj ) { return (int)pObj->pData; }
+static inline int Hop_ObjPhase( Hop_Obj_t * pObj ) { return pObj->fPhase; }
+static inline int Hop_ObjRefs( Hop_Obj_t * pObj ) { return pObj->nRefs; }
+static inline void Hop_ObjRef( Hop_Obj_t * pObj ) { pObj->nRefs++; }
+static inline void Hop_ObjDeref( Hop_Obj_t * pObj ) { assert( pObj->nRefs > 0 ); pObj->nRefs--; }
+static inline void Hop_ObjClearRef( Hop_Obj_t * pObj ) { pObj->nRefs = 0; }
+static inline int Hop_ObjFaninC0( Hop_Obj_t * pObj ) { return Hop_IsComplement(pObj->pFanin0); }
+static inline int Hop_ObjFaninC1( Hop_Obj_t * pObj ) { return Hop_IsComplement(pObj->pFanin1); }
+static inline Hop_Obj_t * Hop_ObjFanin0( Hop_Obj_t * pObj ) { return Hop_Regular(pObj->pFanin0); }
+static inline Hop_Obj_t * Hop_ObjFanin1( Hop_Obj_t * pObj ) { return Hop_Regular(pObj->pFanin1); }
+static inline Hop_Obj_t * Hop_ObjChild0( Hop_Obj_t * pObj ) { return pObj->pFanin0; }
+static inline Hop_Obj_t * Hop_ObjChild1( Hop_Obj_t * pObj ) { return pObj->pFanin1; }
+static inline Hop_Obj_t * Hop_ObjChild0Copy( Hop_Obj_t * pObj ) { assert( !Hop_IsComplement(pObj) ); return Hop_ObjFanin0(pObj)? Hop_NotCond((Hop_Obj_t *)Hop_ObjFanin0(pObj)->pData, Hop_ObjFaninC0(pObj)) : NULL; }
+static inline Hop_Obj_t * Hop_ObjChild1Copy( Hop_Obj_t * pObj ) { assert( !Hop_IsComplement(pObj) ); return Hop_ObjFanin1(pObj)? Hop_NotCond((Hop_Obj_t *)Hop_ObjFanin1(pObj)->pData, Hop_ObjFaninC1(pObj)) : NULL; }
+static inline int Hop_ObjLevel( Hop_Obj_t * pObj ) { return pObj->nRefs; }
+static inline int Hop_ObjLevelNew( Hop_Obj_t * pObj ) { return 1 + Hop_ObjIsExor(pObj) + AIG_MAX(Hop_ObjFanin0(pObj)->nRefs, Hop_ObjFanin1(pObj)->nRefs); }
+static inline int Hop_ObjFaninPhase( Hop_Obj_t * pObj ) { return Hop_IsComplement(pObj)? !Hop_Regular(pObj)->fPhase : pObj->fPhase; }
+static inline void Hop_ObjClean( Hop_Obj_t * pObj ) { memset( pObj, 0, sizeof(Hop_Obj_t) ); }
+static inline int Hop_ObjWhatFanin( Hop_Obj_t * pObj, Hop_Obj_t * pFanin )
+{
+ if ( Hop_ObjFanin0(pObj) == pFanin ) return 0;
+ if ( Hop_ObjFanin1(pObj) == pFanin ) return 1;
+ assert(0); return -1;
+}
+static inline int Hop_ObjFanoutC( Hop_Obj_t * pObj, Hop_Obj_t * pFanout )
+{
+ if ( Hop_ObjFanin0(pFanout) == pObj ) return Hop_ObjFaninC0(pObj);
+ if ( Hop_ObjFanin1(pFanout) == pObj ) return Hop_ObjFaninC1(pObj);
+ assert(0); return -1;
+}
+
+// create the ghost of the new node
+static inline Hop_Obj_t * Hop_ObjCreateGhost( Hop_Man_t * p, Hop_Obj_t * p0, Hop_Obj_t * p1, Hop_Type_t Type )
+{
+ Hop_Obj_t * pGhost;
+ assert( Type != AIG_AND || !Hop_ObjIsConst1(Hop_Regular(p0)) );
+ assert( p1 == NULL || !Hop_ObjIsConst1(Hop_Regular(p1)) );
+ assert( Type == AIG_PI || Hop_Regular(p0) != Hop_Regular(p1) );
+ pGhost = Hop_ManGhost(p);
+ pGhost->Type = Type;
+ if ( Hop_Regular(p0)->Id < Hop_Regular(p1)->Id )
+ {
+ pGhost->pFanin0 = p0;
+ pGhost->pFanin1 = p1;
+ }
+ else
+ {
+ pGhost->pFanin0 = p1;
+ pGhost->pFanin1 = p0;
+ }
+ return pGhost;
+}
+
+// internal memory manager
+static inline Hop_Obj_t * Hop_ManFetchMemory( Hop_Man_t * p )
+{
+ extern void Hop_ManAddMemory( Hop_Man_t * p );
+ Hop_Obj_t * pTemp;
+ if ( p->pListFree == NULL )
+ Hop_ManAddMemory( p );
+ pTemp = p->pListFree;
+ p->pListFree = *((Hop_Obj_t **)pTemp);
+ memset( pTemp, 0, sizeof(Hop_Obj_t) );
+ if ( p->vObjs )
+ {
+ assert( p->nCreated == Vec_PtrSize(p->vObjs) );
+ Vec_PtrPush( p->vObjs, pTemp );
+ }
+ pTemp->Id = p->nCreated++;
+ return pTemp;
+}
+static inline void Hop_ManRecycleMemory( Hop_Man_t * p, Hop_Obj_t * pEntry )
+{
+ pEntry->Type = AIG_NONE; // distinquishes dead node from live node
+ *((Hop_Obj_t **)pEntry) = p->pListFree;
+ p->pListFree = pEntry;
+}
+
+
+////////////////////////////////////////////////////////////////////////
+/// ITERATORS ///
+////////////////////////////////////////////////////////////////////////
+
+// iterator over the primary inputs
+#define Hop_ManForEachPi( p, pObj, i ) \
+ Vec_PtrForEachEntry( p->vPis, pObj, i )
+// iterator over the primary outputs
+#define Hop_ManForEachPo( p, pObj, i ) \
+ Vec_PtrForEachEntry( p->vPos, pObj, i )
+// iterator over all objects, including those currently not used
+#define Hop_ManForEachNode( p, pObj, i ) \
+ for ( i = 0; i < p->nTableSize; i++ ) \
+ if ( ((pObj) = p->pTable[i]) == NULL ) {} else
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/*=== hopBalance.c ========================================================*/
+extern Hop_Man_t * Hop_ManBalance( Hop_Man_t * p, int fUpdateLevel );
+extern Hop_Obj_t * Hop_NodeBalanceBuildSuper( Hop_Man_t * p, Vec_Ptr_t * vSuper, Hop_Type_t Type, int fUpdateLevel );
+/*=== hopCheck.c ========================================================*/
+extern int Hop_ManCheck( Hop_Man_t * p );
+/*=== hopDfs.c ==========================================================*/
+extern Vec_Ptr_t * Hop_ManDfs( Hop_Man_t * p );
+extern Vec_Ptr_t * Hop_ManDfsNode( Hop_Man_t * p, Hop_Obj_t * pNode );
+extern int Hop_ManCountLevels( Hop_Man_t * p );
+extern void Hop_ManCreateRefs( Hop_Man_t * p );
+extern int Hop_DagSize( Hop_Obj_t * pObj );
+extern void Hop_ConeUnmark_rec( Hop_Obj_t * pObj );
+extern Hop_Obj_t * Hop_Transfer( Hop_Man_t * pSour, Hop_Man_t * pDest, Hop_Obj_t * pObj, int nVars );
+extern Hop_Obj_t * Hop_Compose( Hop_Man_t * p, Hop_Obj_t * pRoot, Hop_Obj_t * pFunc, int iVar );
+/*=== hopMan.c ==========================================================*/
+extern Hop_Man_t * Hop_ManStart();
+extern Hop_Man_t * Hop_ManDup( Hop_Man_t * p );
+extern void Hop_ManStop( Hop_Man_t * p );
+extern int Hop_ManCleanup( Hop_Man_t * p );
+extern void Hop_ManPrintStats( Hop_Man_t * p );
+/*=== hopMem.c ==========================================================*/
+extern void Hop_ManStartMemory( Hop_Man_t * p );
+extern void Hop_ManStopMemory( Hop_Man_t * p );
+/*=== hopObj.c ==========================================================*/
+extern Hop_Obj_t * Hop_ObjCreatePi( Hop_Man_t * p );
+extern Hop_Obj_t * Hop_ObjCreatePo( Hop_Man_t * p, Hop_Obj_t * pDriver );
+extern Hop_Obj_t * Hop_ObjCreate( Hop_Man_t * p, Hop_Obj_t * pGhost );
+extern void Hop_ObjConnect( Hop_Man_t * p, Hop_Obj_t * pObj, Hop_Obj_t * pFan0, Hop_Obj_t * pFan1 );
+extern void Hop_ObjDisconnect( Hop_Man_t * p, Hop_Obj_t * pObj );
+extern void Hop_ObjDelete( Hop_Man_t * p, Hop_Obj_t * pObj );
+extern void Hop_ObjDelete_rec( Hop_Man_t * p, Hop_Obj_t * pObj );
+extern Hop_Obj_t * Hop_ObjRepr( Hop_Obj_t * pObj );
+extern void Hop_ObjCreateChoice( Hop_Obj_t * pOld, Hop_Obj_t * pNew );
+/*=== hopOper.c =========================================================*/
+extern Hop_Obj_t * Hop_IthVar( Hop_Man_t * p, int i );
+extern Hop_Obj_t * Hop_Oper( Hop_Man_t * p, Hop_Obj_t * p0, Hop_Obj_t * p1, Hop_Type_t Type );
+extern Hop_Obj_t * Hop_And( Hop_Man_t * p, Hop_Obj_t * p0, Hop_Obj_t * p1 );
+extern Hop_Obj_t * Hop_Or( Hop_Man_t * p, Hop_Obj_t * p0, Hop_Obj_t * p1 );
+extern Hop_Obj_t * Hop_Exor( Hop_Man_t * p, Hop_Obj_t * p0, Hop_Obj_t * p1 );
+extern Hop_Obj_t * Hop_Mux( Hop_Man_t * p, Hop_Obj_t * pC, Hop_Obj_t * p1, Hop_Obj_t * p0 );
+extern Hop_Obj_t * Hop_Maj( Hop_Man_t * p, Hop_Obj_t * pA, Hop_Obj_t * pB, Hop_Obj_t * pC );
+extern Hop_Obj_t * Hop_Miter( Hop_Man_t * p, Vec_Ptr_t * vPairs );
+extern Hop_Obj_t * Hop_CreateAnd( Hop_Man_t * p, int nVars );
+extern Hop_Obj_t * Hop_CreateOr( Hop_Man_t * p, int nVars );
+extern Hop_Obj_t * Hop_CreateExor( Hop_Man_t * p, int nVars );
+/*=== hopTable.c ========================================================*/
+extern Hop_Obj_t * Hop_TableLookup( Hop_Man_t * p, Hop_Obj_t * pGhost );
+extern void Hop_TableInsert( Hop_Man_t * p, Hop_Obj_t * pObj );
+extern void Hop_TableDelete( Hop_Man_t * p, Hop_Obj_t * pObj );
+extern int Hop_TableCountEntries( Hop_Man_t * p );
+extern void Hop_TableProfile( Hop_Man_t * p );
+/*=== hopUtil.c =========================================================*/
+extern void Hop_ManIncrementTravId( Hop_Man_t * p );
+extern void Hop_ManCleanData( Hop_Man_t * p );
+extern void Hop_ObjCleanData_rec( Hop_Obj_t * pObj );
+extern void Hop_ObjCollectMulti( Hop_Obj_t * pFunc, Vec_Ptr_t * vSuper );
+extern int Hop_ObjIsMuxType( Hop_Obj_t * pObj );
+extern int Hop_ObjRecognizeExor( Hop_Obj_t * pObj, Hop_Obj_t ** ppFan0, Hop_Obj_t ** ppFan1 );
+extern Hop_Obj_t * Hop_ObjRecognizeMux( Hop_Obj_t * pObj, Hop_Obj_t ** ppObjT, Hop_Obj_t ** ppObjE );
+extern void Hop_ObjPrintEqn( FILE * pFile, Hop_Obj_t * pObj, Vec_Vec_t * vLevels, int Level );
+extern void Hop_ObjPrintVerilog( FILE * pFile, Hop_Obj_t * pObj, Vec_Vec_t * vLevels, int Level );
+extern void Hop_ObjPrintVerbose( Hop_Obj_t * pObj, int fHaig );
+extern void Hop_ManPrintVerbose( Hop_Man_t * p, int fHaig );
+extern void Hop_ManDumpBlif( Hop_Man_t * p, char * pFileName );
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
diff --git a/src/aig/hop/hopBalance.c b/src/aig/hop/hopBalance.c
new file mode 100644
index 00000000..73c90685
--- /dev/null
+++ b/src/aig/hop/hopBalance.c
@@ -0,0 +1,391 @@
+/**CFile****************************************************************
+
+ FileName [hopBalance.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [Minimalistic And-Inverter Graph package.]
+
+ Synopsis [Algebraic AIG balancing.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - May 11, 2006.]
+
+ Revision [$Id: hopBalance.c,v 1.00 2006/05/11 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "hop.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+static Hop_Obj_t * Hop_NodeBalance_rec( Hop_Man_t * pNew, Hop_Obj_t * pObj, Vec_Vec_t * vStore, int Level, int fUpdateLevel );
+static Vec_Ptr_t * Hop_NodeBalanceCone( Hop_Obj_t * pObj, Vec_Vec_t * vStore, int Level );
+static int Hop_NodeBalanceFindLeft( Vec_Ptr_t * vSuper );
+static void Hop_NodeBalancePermute( Hop_Man_t * p, Vec_Ptr_t * vSuper, int LeftBound, int fExor );
+static void Hop_NodeBalancePushUniqueOrderByLevel( Vec_Ptr_t * vStore, Hop_Obj_t * pObj );
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Performs algebraic balancing of the AIG.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Hop_Man_t * Hop_ManBalance( Hop_Man_t * p, int fUpdateLevel )
+{
+ Hop_Man_t * pNew;
+ Hop_Obj_t * pObj, * pObjNew;
+ Vec_Vec_t * vStore;
+ int i;
+ // create the new manager
+ pNew = Hop_ManStart();
+ pNew->fRefCount = 0;
+ // map the PI nodes
+ Hop_ManCleanData( p );
+ Hop_ManConst1(p)->pData = Hop_ManConst1(pNew);
+ Hop_ManForEachPi( p, pObj, i )
+ pObj->pData = Hop_ObjCreatePi(pNew);
+ // balance the AIG
+ vStore = Vec_VecAlloc( 50 );
+ Hop_ManForEachPo( p, pObj, i )
+ {
+ pObjNew = Hop_NodeBalance_rec( pNew, Hop_ObjFanin0(pObj), vStore, 0, fUpdateLevel );
+ Hop_ObjCreatePo( pNew, Hop_NotCond( pObjNew, Hop_ObjFaninC0(pObj) ) );
+ }
+ Vec_VecFree( vStore );
+ // remove dangling nodes
+// Hop_ManCreateRefs( pNew );
+// if ( i = Hop_ManCleanup( pNew ) )
+// printf( "Cleanup after balancing removed %d dangling nodes.\n", i );
+ // check the resulting AIG
+ if ( !Hop_ManCheck(pNew) )
+ printf( "Hop_ManBalance(): The check has failed.\n" );
+ return pNew;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns the new node constructed.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Hop_Obj_t * Hop_NodeBalance_rec( Hop_Man_t * pNew, Hop_Obj_t * pObjOld, Vec_Vec_t * vStore, int Level, int fUpdateLevel )
+{
+ Hop_Obj_t * pObjNew;
+ Vec_Ptr_t * vSuper;
+ int i;
+ assert( !Hop_IsComplement(pObjOld) );
+ // return if the result is known
+ if ( pObjOld->pData )
+ return pObjOld->pData;
+ assert( Hop_ObjIsNode(pObjOld) );
+ // get the implication supergate
+ vSuper = Hop_NodeBalanceCone( pObjOld, vStore, Level );
+ // check if supergate contains two nodes in the opposite polarity
+ if ( vSuper->nSize == 0 )
+ return pObjOld->pData = Hop_ManConst0(pNew);
+ if ( Vec_PtrSize(vSuper) < 2 )
+ printf( "BUG!\n" );
+ // for each old node, derive the new well-balanced node
+ for ( i = 0; i < Vec_PtrSize(vSuper); i++ )
+ {
+ pObjNew = Hop_NodeBalance_rec( pNew, Hop_Regular(vSuper->pArray[i]), vStore, Level + 1, fUpdateLevel );
+ vSuper->pArray[i] = Hop_NotCond( pObjNew, Hop_IsComplement(vSuper->pArray[i]) );
+ }
+ // build the supergate
+ pObjNew = Hop_NodeBalanceBuildSuper( pNew, vSuper, Hop_ObjType(pObjOld), fUpdateLevel );
+ // make sure the balanced node is not assigned
+// assert( pObjOld->Level >= Hop_Regular(pObjNew)->Level );
+ assert( pObjOld->pData == NULL );
+ return pObjOld->pData = pObjNew;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Collects the nodes of the supergate.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Hop_NodeBalanceCone_rec( Hop_Obj_t * pRoot, Hop_Obj_t * pObj, Vec_Ptr_t * vSuper )
+{
+ int RetValue1, RetValue2, i;
+ // check if the node is visited
+ if ( Hop_Regular(pObj)->fMarkB )
+ {
+ // check if the node occurs in the same polarity
+ for ( i = 0; i < vSuper->nSize; i++ )
+ if ( vSuper->pArray[i] == pObj )
+ return 1;
+ // check if the node is present in the opposite polarity
+ for ( i = 0; i < vSuper->nSize; i++ )
+ if ( vSuper->pArray[i] == Hop_Not(pObj) )
+ return -1;
+ assert( 0 );
+ return 0;
+ }
+ // if the new node is complemented or a PI, another gate begins
+ if ( pObj != pRoot && (Hop_IsComplement(pObj) || Hop_ObjType(pObj) != Hop_ObjType(pRoot) || Hop_ObjRefs(pObj) > 1) )
+ {
+ Vec_PtrPush( vSuper, pObj );
+ Hop_Regular(pObj)->fMarkB = 1;
+ return 0;
+ }
+ assert( !Hop_IsComplement(pObj) );
+ assert( Hop_ObjIsNode(pObj) );
+ // go through the branches
+ RetValue1 = Hop_NodeBalanceCone_rec( pRoot, Hop_ObjChild0(pObj), vSuper );
+ RetValue2 = Hop_NodeBalanceCone_rec( pRoot, Hop_ObjChild1(pObj), vSuper );
+ if ( RetValue1 == -1 || RetValue2 == -1 )
+ return -1;
+ // return 1 if at least one branch has a duplicate
+ return RetValue1 || RetValue2;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Collects the nodes of the supergate.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Vec_Ptr_t * Hop_NodeBalanceCone( Hop_Obj_t * pObj, Vec_Vec_t * vStore, int Level )
+{
+ Vec_Ptr_t * vNodes;
+ int RetValue, i;
+ assert( !Hop_IsComplement(pObj) );
+ // extend the storage
+ if ( Vec_VecSize( vStore ) <= Level )
+ Vec_VecPush( vStore, Level, 0 );
+ // get the temporary array of nodes
+ vNodes = Vec_VecEntry( vStore, Level );
+ Vec_PtrClear( vNodes );
+ // collect the nodes in the implication supergate
+ RetValue = Hop_NodeBalanceCone_rec( pObj, pObj, vNodes );
+ assert( vNodes->nSize > 1 );
+ // unmark the visited nodes
+ Vec_PtrForEachEntry( vNodes, pObj, i )
+ Hop_Regular(pObj)->fMarkB = 0;
+ // if we found the node and its complement in the same implication supergate,
+ // return empty set of nodes (meaning that we should use constant-0 node)
+ if ( RetValue == -1 )
+ vNodes->nSize = 0;
+ return vNodes;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Procedure used for sorting the nodes in decreasing order of levels.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Hop_NodeCompareLevelsDecrease( Hop_Obj_t ** pp1, Hop_Obj_t ** pp2 )
+{
+ int Diff = Hop_ObjLevel(Hop_Regular(*pp1)) - Hop_ObjLevel(Hop_Regular(*pp2));
+ if ( Diff > 0 )
+ return -1;
+ if ( Diff < 0 )
+ return 1;
+ return 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Builds implication supergate.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Hop_Obj_t * Hop_NodeBalanceBuildSuper( Hop_Man_t * p, Vec_Ptr_t * vSuper, Hop_Type_t Type, int fUpdateLevel )
+{
+ Hop_Obj_t * pObj1, * pObj2;
+ int LeftBound;
+ assert( vSuper->nSize > 1 );
+ // sort the new nodes by level in the decreasing order
+ Vec_PtrSort( vSuper, Hop_NodeCompareLevelsDecrease );
+ // balance the nodes
+ while ( vSuper->nSize > 1 )
+ {
+ // find the left bound on the node to be paired
+ LeftBound = (!fUpdateLevel)? 0 : Hop_NodeBalanceFindLeft( vSuper );
+ // find the node that can be shared (if no such node, randomize choice)
+ Hop_NodeBalancePermute( p, vSuper, LeftBound, Type == AIG_EXOR );
+ // pull out the last two nodes
+ pObj1 = Vec_PtrPop(vSuper);
+ pObj2 = Vec_PtrPop(vSuper);
+ Hop_NodeBalancePushUniqueOrderByLevel( vSuper, Hop_Oper(p, pObj1, pObj2, Type) );
+ }
+ return Vec_PtrEntry(vSuper, 0);
+}
+
+/**Function*************************************************************
+
+ Synopsis [Finds the left bound on the next candidate to be paired.]
+
+ Description [The nodes in the array are in the decreasing order of levels.
+ The last node in the array has the smallest level. By default it would be paired
+ with the next node on the left. However, it may be possible to pair it with some
+ other node on the left, in such a way that the new node is shared. This procedure
+ finds the index of the left-most node, which can be paired with the last node.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Hop_NodeBalanceFindLeft( Vec_Ptr_t * vSuper )
+{
+ Hop_Obj_t * pObjRight, * pObjLeft;
+ int Current;
+ // if two or less nodes, pair with the first
+ if ( Vec_PtrSize(vSuper) < 3 )
+ return 0;
+ // set the pointer to the one before the last
+ Current = Vec_PtrSize(vSuper) - 2;
+ pObjRight = Vec_PtrEntry( vSuper, Current );
+ // go through the nodes to the left of this one
+ for ( Current--; Current >= 0; Current-- )
+ {
+ // get the next node on the left
+ pObjLeft = Vec_PtrEntry( vSuper, Current );
+ // if the level of this node is different, quit the loop
+ if ( Hop_ObjLevel(Hop_Regular(pObjLeft)) != Hop_ObjLevel(Hop_Regular(pObjRight)) )
+ break;
+ }
+ Current++;
+ // get the node, for which the equality holds
+ pObjLeft = Vec_PtrEntry( vSuper, Current );
+ assert( Hop_ObjLevel(Hop_Regular(pObjLeft)) == Hop_ObjLevel(Hop_Regular(pObjRight)) );
+ return Current;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Moves closer to the end the node that is best for sharing.]
+
+ Description [If there is no node with sharing, randomly chooses one of
+ the legal nodes.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Hop_NodeBalancePermute( Hop_Man_t * p, Vec_Ptr_t * vSuper, int LeftBound, int fExor )
+{
+ Hop_Obj_t * pObj1, * pObj2, * pObj3, * pGhost;
+ int RightBound, i;
+ // get the right bound
+ RightBound = Vec_PtrSize(vSuper) - 2;
+ assert( LeftBound <= RightBound );
+ if ( LeftBound == RightBound )
+ return;
+ // get the two last nodes
+ pObj1 = Vec_PtrEntry( vSuper, RightBound + 1 );
+ pObj2 = Vec_PtrEntry( vSuper, RightBound );
+ if ( Hop_Regular(pObj1) == p->pConst1 || Hop_Regular(pObj2) == p->pConst1 )
+ return;
+ // find the first node that can be shared
+ for ( i = RightBound; i >= LeftBound; i-- )
+ {
+ pObj3 = Vec_PtrEntry( vSuper, i );
+ if ( Hop_Regular(pObj3) == p->pConst1 )
+ {
+ Vec_PtrWriteEntry( vSuper, i, pObj2 );
+ Vec_PtrWriteEntry( vSuper, RightBound, pObj3 );
+ return;
+ }
+ pGhost = Hop_ObjCreateGhost( p, pObj1, pObj3, fExor? AIG_EXOR : AIG_AND );
+ if ( Hop_TableLookup( p, pGhost ) )
+ {
+ if ( pObj3 == pObj2 )
+ return;
+ Vec_PtrWriteEntry( vSuper, i, pObj2 );
+ Vec_PtrWriteEntry( vSuper, RightBound, pObj3 );
+ return;
+ }
+ }
+/*
+ // we did not find the node to share, randomize choice
+ {
+ int Choice = rand() % (RightBound - LeftBound + 1);
+ pObj3 = Vec_PtrEntry( vSuper, LeftBound + Choice );
+ if ( pObj3 == pObj2 )
+ return;
+ Vec_PtrWriteEntry( vSuper, LeftBound + Choice, pObj2 );
+ Vec_PtrWriteEntry( vSuper, RightBound, pObj3 );
+ }
+*/
+}
+
+/**Function*************************************************************
+
+ Synopsis [Inserts a new node in the order by levels.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Hop_NodeBalancePushUniqueOrderByLevel( Vec_Ptr_t * vStore, Hop_Obj_t * pObj )
+{
+ Hop_Obj_t * pObj1, * pObj2;
+ int i;
+ if ( Vec_PtrPushUnique(vStore, pObj) )
+ return;
+ // find the p of the node
+ for ( i = vStore->nSize-1; i > 0; i-- )
+ {
+ pObj1 = vStore->pArray[i ];
+ pObj2 = vStore->pArray[i-1];
+ if ( Hop_ObjLevel(Hop_Regular(pObj1)) <= Hop_ObjLevel(Hop_Regular(pObj2)) )
+ break;
+ vStore->pArray[i ] = pObj2;
+ vStore->pArray[i-1] = pObj1;
+ }
+}
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/hop/hopCheck.c b/src/aig/hop/hopCheck.c
new file mode 100644
index 00000000..9120906f
--- /dev/null
+++ b/src/aig/hop/hopCheck.c
@@ -0,0 +1,110 @@
+/**CFile****************************************************************
+
+ FileName [hopCheck.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [Minimalistic And-Inverter Graph package.]
+
+ Synopsis [AIG checking procedures.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - May 11, 2006.]
+
+ Revision [$Id: hopCheck.c,v 1.00 2006/05/11 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "hop.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Checks the consistency of the AIG manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Hop_ManCheck( Hop_Man_t * p )
+{
+ Hop_Obj_t * pObj, * pObj2;
+ int i;
+ // check primary inputs
+ Hop_ManForEachPi( p, pObj, i )
+ {
+ if ( Hop_ObjFanin0(pObj) || Hop_ObjFanin1(pObj) )
+ {
+ printf( "Hop_ManCheck: The PI node \"%p\" has fanins.\n", pObj );
+ return 0;
+ }
+ }
+ // check primary outputs
+ Hop_ManForEachPo( p, pObj, i )
+ {
+ if ( !Hop_ObjFanin0(pObj) )
+ {
+ printf( "Hop_ManCheck: The PO node \"%p\" has NULL fanin.\n", pObj );
+ return 0;
+ }
+ if ( Hop_ObjFanin1(pObj) )
+ {
+ printf( "Hop_ManCheck: The PO node \"%p\" has second fanin.\n", pObj );
+ return 0;
+ }
+ }
+ // check internal nodes
+ Hop_ManForEachNode( p, pObj, i )
+ {
+ if ( !Hop_ObjFanin0(pObj) || !Hop_ObjFanin1(pObj) )
+ {
+ printf( "Hop_ManCheck: The AIG has internal node \"%p\" with a NULL fanin.\n", pObj );
+ return 0;
+ }
+ if ( Hop_ObjFanin0(pObj)->Id >= Hop_ObjFanin1(pObj)->Id )
+ {
+ printf( "Hop_ManCheck: The AIG has node \"%p\" with a wrong ordering of fanins.\n", pObj );
+ return 0;
+ }
+ pObj2 = Hop_TableLookup( p, pObj );
+ if ( pObj2 != pObj )
+ {
+ printf( "Hop_ManCheck: Node \"%p\" is not in the structural hashing table.\n", pObj );
+ return 0;
+ }
+ }
+ // count the total number of nodes
+ if ( Hop_ManObjNum(p) != 1 + Hop_ManPiNum(p) + Hop_ManPoNum(p) + Hop_ManAndNum(p) + Hop_ManExorNum(p) )
+ {
+ printf( "Hop_ManCheck: The number of created nodes is wrong.\n" );
+ return 0;
+ }
+ // count the number of nodes in the table
+ if ( Hop_TableCountEntries(p) != Hop_ManAndNum(p) + Hop_ManExorNum(p) )
+ {
+ printf( "Hop_ManCheck: The number of nodes in the structural hashing table is wrong.\n" );
+ return 0;
+ }
+// if ( !Hop_ManIsAcyclic(p) )
+// return 0;
+ return 1;
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/hop/hopDfs.c b/src/aig/hop/hopDfs.c
new file mode 100644
index 00000000..49e5f221
--- /dev/null
+++ b/src/aig/hop/hopDfs.c
@@ -0,0 +1,399 @@
+/**CFile****************************************************************
+
+ FileName [hopDfs.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [Minimalistic And-Inverter Graph package.]
+
+ Synopsis [DFS traversal procedures.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - May 11, 2006.]
+
+ Revision [$Id: hopDfs.c,v 1.00 2006/05/11 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "hop.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Collects internal nodes in the DFS order.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Hop_ManDfs_rec( Hop_Obj_t * pObj, Vec_Ptr_t * vNodes )
+{
+ assert( !Hop_IsComplement(pObj) );
+ if ( !Hop_ObjIsNode(pObj) || Hop_ObjIsMarkA(pObj) )
+ return;
+ Hop_ManDfs_rec( Hop_ObjFanin0(pObj), vNodes );
+ Hop_ManDfs_rec( Hop_ObjFanin1(pObj), vNodes );
+ assert( !Hop_ObjIsMarkA(pObj) ); // loop detection
+ Hop_ObjSetMarkA(pObj);
+ Vec_PtrPush( vNodes, pObj );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Collects internal nodes in the DFS order.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Vec_Ptr_t * Hop_ManDfs( Hop_Man_t * p )
+{
+ Vec_Ptr_t * vNodes;
+ Hop_Obj_t * pObj;
+ int i;
+ vNodes = Vec_PtrAlloc( Hop_ManNodeNum(p) );
+ Hop_ManForEachNode( p, pObj, i )
+ Hop_ManDfs_rec( pObj, vNodes );
+ Hop_ManForEachNode( p, pObj, i )
+ Hop_ObjClearMarkA(pObj);
+ return vNodes;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Collects internal nodes in the DFS order.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Vec_Ptr_t * Hop_ManDfsNode( Hop_Man_t * p, Hop_Obj_t * pNode )
+{
+ Vec_Ptr_t * vNodes;
+ Hop_Obj_t * pObj;
+ int i;
+ assert( !Hop_IsComplement(pNode) );
+ vNodes = Vec_PtrAlloc( 16 );
+ Hop_ManDfs_rec( pNode, vNodes );
+ Vec_PtrForEachEntry( vNodes, pObj, i )
+ Hop_ObjClearMarkA(pObj);
+ return vNodes;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes the max number of levels in the manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Hop_ManCountLevels( Hop_Man_t * p )
+{
+ Vec_Ptr_t * vNodes;
+ Hop_Obj_t * pObj;
+ int i, LevelsMax, Level0, Level1;
+ // initialize the levels
+ Hop_ManConst1(p)->pData = NULL;
+ Hop_ManForEachPi( p, pObj, i )
+ pObj->pData = NULL;
+ // compute levels in a DFS order
+ vNodes = Hop_ManDfs( p );
+ Vec_PtrForEachEntry( vNodes, pObj, i )
+ {
+ Level0 = (int)Hop_ObjFanin0(pObj)->pData;
+ Level1 = (int)Hop_ObjFanin1(pObj)->pData;
+ pObj->pData = (void *)(1 + Hop_ObjIsExor(pObj) + AIG_MAX(Level0, Level1));
+ }
+ Vec_PtrFree( vNodes );
+ // get levels of the POs
+ LevelsMax = 0;
+ Hop_ManForEachPo( p, pObj, i )
+ LevelsMax = AIG_MAX( LevelsMax, (int)Hop_ObjFanin0(pObj)->pData );
+ return LevelsMax;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates correct reference counters at each node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Hop_ManCreateRefs( Hop_Man_t * p )
+{
+ Hop_Obj_t * pObj;
+ int i;
+ if ( p->fRefCount )
+ return;
+ p->fRefCount = 1;
+ // clear refs
+ Hop_ObjClearRef( Hop_ManConst1(p) );
+ Hop_ManForEachPi( p, pObj, i )
+ Hop_ObjClearRef( pObj );
+ Hop_ManForEachNode( p, pObj, i )
+ Hop_ObjClearRef( pObj );
+ Hop_ManForEachPo( p, pObj, i )
+ Hop_ObjClearRef( pObj );
+ // set refs
+ Hop_ManForEachNode( p, pObj, i )
+ {
+ Hop_ObjRef( Hop_ObjFanin0(pObj) );
+ Hop_ObjRef( Hop_ObjFanin1(pObj) );
+ }
+ Hop_ManForEachPo( p, pObj, i )
+ Hop_ObjRef( Hop_ObjFanin0(pObj) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Counts the number of AIG nodes rooted at this cone.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Hop_ConeMark_rec( Hop_Obj_t * pObj )
+{
+ assert( !Hop_IsComplement(pObj) );
+ if ( !Hop_ObjIsNode(pObj) || Hop_ObjIsMarkA(pObj) )
+ return;
+ Hop_ConeMark_rec( Hop_ObjFanin0(pObj) );
+ Hop_ConeMark_rec( Hop_ObjFanin1(pObj) );
+ assert( !Hop_ObjIsMarkA(pObj) ); // loop detection
+ Hop_ObjSetMarkA( pObj );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Counts the number of AIG nodes rooted at this cone.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Hop_ConeCleanAndMark_rec( Hop_Obj_t * pObj )
+{
+ assert( !Hop_IsComplement(pObj) );
+ if ( !Hop_ObjIsNode(pObj) || Hop_ObjIsMarkA(pObj) )
+ return;
+ Hop_ConeCleanAndMark_rec( Hop_ObjFanin0(pObj) );
+ Hop_ConeCleanAndMark_rec( Hop_ObjFanin1(pObj) );
+ assert( !Hop_ObjIsMarkA(pObj) ); // loop detection
+ Hop_ObjSetMarkA( pObj );
+ pObj->pData = NULL;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Counts the number of AIG nodes rooted at this cone.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Hop_ConeCountAndMark_rec( Hop_Obj_t * pObj )
+{
+ int Counter;
+ assert( !Hop_IsComplement(pObj) );
+ if ( !Hop_ObjIsNode(pObj) || Hop_ObjIsMarkA(pObj) )
+ return 0;
+ Counter = 1 + Hop_ConeCountAndMark_rec( Hop_ObjFanin0(pObj) ) +
+ Hop_ConeCountAndMark_rec( Hop_ObjFanin1(pObj) );
+ assert( !Hop_ObjIsMarkA(pObj) ); // loop detection
+ Hop_ObjSetMarkA( pObj );
+ return Counter;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Counts the number of AIG nodes rooted at this cone.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Hop_ConeUnmark_rec( Hop_Obj_t * pObj )
+{
+ assert( !Hop_IsComplement(pObj) );
+ if ( !Hop_ObjIsNode(pObj) || !Hop_ObjIsMarkA(pObj) )
+ return;
+ Hop_ConeUnmark_rec( Hop_ObjFanin0(pObj) );
+ Hop_ConeUnmark_rec( Hop_ObjFanin1(pObj) );
+ assert( Hop_ObjIsMarkA(pObj) ); // loop detection
+ Hop_ObjClearMarkA( pObj );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Counts the number of AIG nodes rooted at this cone.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Hop_DagSize( Hop_Obj_t * pObj )
+{
+ int Counter;
+ Counter = Hop_ConeCountAndMark_rec( Hop_Regular(pObj) );
+ Hop_ConeUnmark_rec( Hop_Regular(pObj) );
+ return Counter;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Transfers the AIG from one manager into another.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Hop_Transfer_rec( Hop_Man_t * pDest, Hop_Obj_t * pObj )
+{
+ assert( !Hop_IsComplement(pObj) );
+ if ( !Hop_ObjIsNode(pObj) || Hop_ObjIsMarkA(pObj) )
+ return;
+ Hop_Transfer_rec( pDest, Hop_ObjFanin0(pObj) );
+ Hop_Transfer_rec( pDest, Hop_ObjFanin1(pObj) );
+ pObj->pData = Hop_And( pDest, Hop_ObjChild0Copy(pObj), Hop_ObjChild1Copy(pObj) );
+ assert( !Hop_ObjIsMarkA(pObj) ); // loop detection
+ Hop_ObjSetMarkA( pObj );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Transfers the AIG from one manager into another.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Hop_Obj_t * Hop_Transfer( Hop_Man_t * pSour, Hop_Man_t * pDest, Hop_Obj_t * pRoot, int nVars )
+{
+ Hop_Obj_t * pObj;
+ int i;
+ // solve simple cases
+ if ( pSour == pDest )
+ return pRoot;
+ if ( Hop_ObjIsConst1( Hop_Regular(pRoot) ) )
+ return Hop_NotCond( Hop_ManConst1(pDest), Hop_IsComplement(pRoot) );
+ // set the PI mapping
+ Hop_ManForEachPi( pSour, pObj, i )
+ {
+ if ( i == nVars )
+ break;
+ pObj->pData = Hop_IthVar(pDest, i);
+ }
+ // transfer and set markings
+ Hop_Transfer_rec( pDest, Hop_Regular(pRoot) );
+ // clear the markings
+ Hop_ConeUnmark_rec( Hop_Regular(pRoot) );
+ return Hop_NotCond( Hop_Regular(pRoot)->pData, Hop_IsComplement(pRoot) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Composes the AIG (pRoot) with the function (pFunc) using PI var (iVar).]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Hop_Compose_rec( Hop_Man_t * p, Hop_Obj_t * pObj, Hop_Obj_t * pFunc, Hop_Obj_t * pVar )
+{
+ assert( !Hop_IsComplement(pObj) );
+ if ( Hop_ObjIsMarkA(pObj) )
+ return;
+ if ( Hop_ObjIsConst1(pObj) || Hop_ObjIsPi(pObj) )
+ {
+ pObj->pData = pObj == pVar ? pFunc : pObj;
+ return;
+ }
+ Hop_Compose_rec( p, Hop_ObjFanin0(pObj), pFunc, pVar );
+ Hop_Compose_rec( p, Hop_ObjFanin1(pObj), pFunc, pVar );
+ pObj->pData = Hop_And( p, Hop_ObjChild0Copy(pObj), Hop_ObjChild1Copy(pObj) );
+ assert( !Hop_ObjIsMarkA(pObj) ); // loop detection
+ Hop_ObjSetMarkA( pObj );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Composes the AIG (pRoot) with the function (pFunc) using PI var (iVar).]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Hop_Obj_t * Hop_Compose( Hop_Man_t * p, Hop_Obj_t * pRoot, Hop_Obj_t * pFunc, int iVar )
+{
+ // quit if the PI variable is not defined
+ if ( iVar >= Hop_ManPiNum(p) )
+ {
+ printf( "Hop_Compose(): The PI variable %d is not defined.\n", iVar );
+ return NULL;
+ }
+ // recursively perform composition
+ Hop_Compose_rec( p, Hop_Regular(pRoot), pFunc, Hop_ManPi(p, iVar) );
+ // clear the markings
+ Hop_ConeUnmark_rec( Hop_Regular(pRoot) );
+ return Hop_NotCond( Hop_Regular(pRoot)->pData, Hop_IsComplement(pRoot) );
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/hop/hopMan.c b/src/aig/hop/hopMan.c
new file mode 100644
index 00000000..99f5d316
--- /dev/null
+++ b/src/aig/hop/hopMan.c
@@ -0,0 +1,164 @@
+/**CFile****************************************************************
+
+ FileName [hopMan.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [Minimalistic And-Inverter Graph package.]
+
+ Synopsis [AIG manager.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - May 11, 2006.]
+
+ Revision [$Id: hopMan.c,v 1.00 2006/05/11 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "hop.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Starts the AIG manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Hop_Man_t * Hop_ManStart()
+{
+ Hop_Man_t * p;
+ // start the manager
+ p = ALLOC( Hop_Man_t, 1 );
+ memset( p, 0, sizeof(Hop_Man_t) );
+ // perform initializations
+ p->nTravIds = 1;
+ p->fRefCount = 1;
+ p->fCatchExor = 0;
+ // allocate arrays for nodes
+ p->vPis = Vec_PtrAlloc( 100 );
+ p->vPos = Vec_PtrAlloc( 100 );
+ // prepare the internal memory manager
+ Hop_ManStartMemory( p );
+ // create the constant node
+ p->pConst1 = Hop_ManFetchMemory( p );
+ p->pConst1->Type = AIG_CONST1;
+ p->pConst1->fPhase = 1;
+ p->nCreated = 1;
+ // start the table
+// p->nTableSize = 107;
+ p->nTableSize = 10007;
+ p->pTable = ALLOC( Hop_Obj_t *, p->nTableSize );
+ memset( p->pTable, 0, sizeof(Hop_Obj_t *) * p->nTableSize );
+ return p;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Stops the AIG manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Hop_ManStop( Hop_Man_t * p )
+{
+ Hop_Obj_t * pObj;
+ int i;
+ // make sure the nodes have clean marks
+ pObj = Hop_ManConst1(p);
+ assert( !pObj->fMarkA && !pObj->fMarkB );
+ Hop_ManForEachPi( p, pObj, i )
+ assert( !pObj->fMarkA && !pObj->fMarkB );
+ Hop_ManForEachPo( p, pObj, i )
+ assert( !pObj->fMarkA && !pObj->fMarkB );
+ Hop_ManForEachNode( p, pObj, i )
+ assert( !pObj->fMarkA && !pObj->fMarkB );
+ // print time
+ if ( p->time1 ) { PRT( "time1", p->time1 ); }
+ if ( p->time2 ) { PRT( "time2", p->time2 ); }
+// Hop_TableProfile( p );
+ if ( p->vChunks ) Hop_ManStopMemory( p );
+ if ( p->vPis ) Vec_PtrFree( p->vPis );
+ if ( p->vPos ) Vec_PtrFree( p->vPos );
+ if ( p->vObjs ) Vec_PtrFree( p->vObjs );
+ free( p->pTable );
+ free( p );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns the number of dangling nodes removed.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Hop_ManCleanup( Hop_Man_t * p )
+{
+ Vec_Ptr_t * vObjs;
+ Hop_Obj_t * pNode;
+ int i, nNodesOld;
+ assert( p->fRefCount );
+ nNodesOld = Hop_ManNodeNum(p);
+ // collect roots of dangling nodes
+ vObjs = Vec_PtrAlloc( 100 );
+ Hop_ManForEachNode( p, pNode, i )
+ if ( Hop_ObjRefs(pNode) == 0 )
+ Vec_PtrPush( vObjs, pNode );
+ // recursively remove dangling nodes
+ Vec_PtrForEachEntry( vObjs, pNode, i )
+ Hop_ObjDelete_rec( p, pNode );
+ Vec_PtrFree( vObjs );
+ return nNodesOld - Hop_ManNodeNum(p);
+}
+
+/**Function*************************************************************
+
+ Synopsis [Stops the AIG manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Hop_ManPrintStats( Hop_Man_t * p )
+{
+ printf( "PI/PO = %d/%d. ", Hop_ManPiNum(p), Hop_ManPoNum(p) );
+ printf( "A = %7d. ", Hop_ManAndNum(p) );
+ printf( "X = %5d. ", Hop_ManExorNum(p) );
+ printf( "Cre = %7d. ", p->nCreated );
+ printf( "Del = %7d. ", p->nDeleted );
+ printf( "Lev = %3d. ", Hop_ManCountLevels(p) );
+ printf( "\n" );
+}
+
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/hop/hopMem.c b/src/aig/hop/hopMem.c
new file mode 100644
index 00000000..0665470a
--- /dev/null
+++ b/src/aig/hop/hopMem.c
@@ -0,0 +1,115 @@
+/**CFile****************************************************************
+
+ FileName [hopMem.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [Minimalistic And-Inverter Graph package.]
+
+ Synopsis [Memory management for the AIG nodes.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - May 11, 2006.]
+
+ Revision [$Id: hopMem.c,v 1.00 2006/05/11 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "hop.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+// memory management
+#define IVY_PAGE_SIZE 12 // page size containing 2^IVY_PAGE_SIZE nodes
+#define IVY_PAGE_MASK 4095 // page bitmask (2^IVY_PAGE_SIZE)-1
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Starts the internal memory manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Hop_ManStartMemory( Hop_Man_t * p )
+{
+ p->vChunks = Vec_PtrAlloc( 128 );
+ p->vPages = Vec_PtrAlloc( 128 );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Stops the internal memory manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Hop_ManStopMemory( Hop_Man_t * p )
+{
+ void * pMemory;
+ int i;
+ Vec_PtrForEachEntry( p->vChunks, pMemory, i )
+ free( pMemory );
+ Vec_PtrFree( p->vChunks );
+ Vec_PtrFree( p->vPages );
+ p->pListFree = NULL;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Allocates additional memory for the nodes.]
+
+ Description [Allocates IVY_PAGE_SIZE nodes. Aligns memory by 32 bytes.
+ Records the pointer to the AIG manager in the -1 entry.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Hop_ManAddMemory( Hop_Man_t * p )
+{
+ char * pMemory;
+ int i, nBytes;
+ assert( sizeof(Hop_Obj_t) <= 64 );
+ assert( p->pListFree == NULL );
+// assert( (Hop_ManObjNum(p) & IVY_PAGE_MASK) == 0 );
+ // allocate new memory page
+ nBytes = sizeof(Hop_Obj_t) * (1<<IVY_PAGE_SIZE) + 64;
+ pMemory = ALLOC( char, nBytes );
+ Vec_PtrPush( p->vChunks, pMemory );
+ // align memory at the 32-byte boundary
+ pMemory = pMemory + 64 - (((int)pMemory) & 63);
+ // remember the manager in the first entry
+ Vec_PtrPush( p->vPages, pMemory );
+ // break the memory down into nodes
+ p->pListFree = (Hop_Obj_t *)pMemory;
+ for ( i = 1; i <= IVY_PAGE_MASK; i++ )
+ {
+ *((char **)pMemory) = pMemory + sizeof(Hop_Obj_t);
+ pMemory += sizeof(Hop_Obj_t);
+ }
+ *((char **)pMemory) = NULL;
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/hop/hopObj.c b/src/aig/hop/hopObj.c
new file mode 100644
index 00000000..c8e70dd3
--- /dev/null
+++ b/src/aig/hop/hopObj.c
@@ -0,0 +1,271 @@
+/**CFile****************************************************************
+
+ FileName [hopObj.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [Minimalistic And-Inverter Graph package.]
+
+ Synopsis [Adding/removing objects.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - May 11, 2006.]
+
+ Revision [$Id: hopObj.c,v 1.00 2006/05/11 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "hop.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Creates primary input.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Hop_Obj_t * Hop_ObjCreatePi( Hop_Man_t * p )
+{
+ Hop_Obj_t * pObj;
+ pObj = Hop_ManFetchMemory( p );
+ pObj->Type = AIG_PI;
+ Vec_PtrPush( p->vPis, pObj );
+ p->nObjs[AIG_PI]++;
+ return pObj;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates primary output with the given driver.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Hop_Obj_t * Hop_ObjCreatePo( Hop_Man_t * p, Hop_Obj_t * pDriver )
+{
+ Hop_Obj_t * pObj;
+ pObj = Hop_ManFetchMemory( p );
+ pObj->Type = AIG_PO;
+ Vec_PtrPush( p->vPos, pObj );
+ // add connections
+ pObj->pFanin0 = pDriver;
+ if ( p->fRefCount )
+ Hop_ObjRef( Hop_Regular(pDriver) );
+ else
+ pObj->nRefs = Hop_ObjLevel( Hop_Regular(pDriver) );
+ // set the phase
+ pObj->fPhase = Hop_ObjFaninPhase(pDriver);
+ // update node counters of the manager
+ p->nObjs[AIG_PO]++;
+ return pObj;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Create the new node assuming it does not exist.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Hop_Obj_t * Hop_ObjCreate( Hop_Man_t * p, Hop_Obj_t * pGhost )
+{
+ Hop_Obj_t * pObj;
+ assert( !Hop_IsComplement(pGhost) );
+ assert( Hop_ObjIsNode(pGhost) );
+ assert( pGhost == &p->Ghost );
+ // get memory for the new object
+ pObj = Hop_ManFetchMemory( p );
+ pObj->Type = pGhost->Type;
+ // add connections
+ Hop_ObjConnect( p, pObj, pGhost->pFanin0, pGhost->pFanin1 );
+ // update node counters of the manager
+ p->nObjs[Hop_ObjType(pObj)]++;
+ assert( pObj->pData == NULL );
+ return pObj;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Connect the object to the fanin.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Hop_ObjConnect( Hop_Man_t * p, Hop_Obj_t * pObj, Hop_Obj_t * pFan0, Hop_Obj_t * pFan1 )
+{
+ assert( !Hop_IsComplement(pObj) );
+ assert( Hop_ObjIsNode(pObj) );
+ // add the first fanin
+ pObj->pFanin0 = pFan0;
+ pObj->pFanin1 = pFan1;
+ // increment references of the fanins and add their fanouts
+ if ( p->fRefCount )
+ {
+ if ( pFan0 != NULL )
+ Hop_ObjRef( Hop_ObjFanin0(pObj) );
+ if ( pFan1 != NULL )
+ Hop_ObjRef( Hop_ObjFanin1(pObj) );
+ }
+ else
+ pObj->nRefs = Hop_ObjLevelNew( pObj );
+ // set the phase
+ pObj->fPhase = Hop_ObjFaninPhase(pFan0) & Hop_ObjFaninPhase(pFan1);
+ // add the node to the structural hash table
+ Hop_TableInsert( p, pObj );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Connect the object to the fanin.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Hop_ObjDisconnect( Hop_Man_t * p, Hop_Obj_t * pObj )
+{
+ assert( !Hop_IsComplement(pObj) );
+ assert( Hop_ObjIsNode(pObj) );
+ // remove connections
+ if ( pObj->pFanin0 != NULL )
+ Hop_ObjDeref(Hop_ObjFanin0(pObj));
+ if ( pObj->pFanin1 != NULL )
+ Hop_ObjDeref(Hop_ObjFanin1(pObj));
+ // remove the node from the structural hash table
+ Hop_TableDelete( p, pObj );
+ // add the first fanin
+ pObj->pFanin0 = NULL;
+ pObj->pFanin1 = NULL;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Deletes the node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Hop_ObjDelete( Hop_Man_t * p, Hop_Obj_t * pObj )
+{
+ assert( !Hop_IsComplement(pObj) );
+ assert( !Hop_ObjIsTerm(pObj) );
+ assert( Hop_ObjRefs(pObj) == 0 );
+ // update node counters of the manager
+ p->nObjs[pObj->Type]--;
+ p->nDeleted++;
+ // remove connections
+ Hop_ObjDisconnect( p, pObj );
+ // remove PIs/POs from the arrays
+ if ( Hop_ObjIsPi(pObj) )
+ Vec_PtrRemove( p->vPis, pObj );
+ // free the node
+ Hop_ManRecycleMemory( p, pObj );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Deletes the MFFC of the node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Hop_ObjDelete_rec( Hop_Man_t * p, Hop_Obj_t * pObj )
+{
+ Hop_Obj_t * pFanin0, * pFanin1;
+ assert( !Hop_IsComplement(pObj) );
+ if ( Hop_ObjIsConst1(pObj) || Hop_ObjIsPi(pObj) )
+ return;
+ assert( Hop_ObjIsNode(pObj) );
+ pFanin0 = Hop_ObjFanin0(pObj);
+ pFanin1 = Hop_ObjFanin1(pObj);
+ Hop_ObjDelete( p, pObj );
+ if ( pFanin0 && !Hop_ObjIsNone(pFanin0) && Hop_ObjRefs(pFanin0) == 0 )
+ Hop_ObjDelete_rec( p, pFanin0 );
+ if ( pFanin1 && !Hop_ObjIsNone(pFanin1) && Hop_ObjRefs(pFanin1) == 0 )
+ Hop_ObjDelete_rec( p, pFanin1 );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns the representative of the node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Hop_Obj_t * Hop_ObjRepr( Hop_Obj_t * pObj )
+{
+ assert( !Hop_IsComplement(pObj) );
+ if ( pObj->pData == NULL || pObj->pData == pObj )
+ return pObj;
+ return Hop_ObjRepr( pObj->pData );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Sets an equivalence relation between the nodes.]
+
+ Description [Makes the representative of pNew point to the representaive of pOld.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Hop_ObjCreateChoice( Hop_Obj_t * pOld, Hop_Obj_t * pNew )
+{
+ Hop_Obj_t * pOldRepr;
+ Hop_Obj_t * pNewRepr;
+ assert( pOld != NULL && pNew != NULL );
+ pOldRepr = Hop_ObjRepr(pOld);
+ pNewRepr = Hop_ObjRepr(pNew);
+ if ( pNewRepr != pOldRepr )
+ pNewRepr->pData = pOldRepr;
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/hop/hopOper.c b/src/aig/hop/hopOper.c
new file mode 100644
index 00000000..a31ca0f2
--- /dev/null
+++ b/src/aig/hop/hopOper.c
@@ -0,0 +1,373 @@
+/**CFile****************************************************************
+
+ FileName [hopOper.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [Minimalistic And-Inverter Graph package.]
+
+ Synopsis [AIG operations.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - May 11, 2006.]
+
+ Revision [$Id: hopOper.c,v 1.00 2006/05/11 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "hop.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+// procedure to detect an EXOR gate
+static inline int Hop_ObjIsExorType( Hop_Obj_t * p0, Hop_Obj_t * p1, Hop_Obj_t ** ppFan0, Hop_Obj_t ** ppFan1 )
+{
+ if ( !Hop_IsComplement(p0) || !Hop_IsComplement(p1) )
+ return 0;
+ p0 = Hop_Regular(p0);
+ p1 = Hop_Regular(p1);
+ if ( !Hop_ObjIsAnd(p0) || !Hop_ObjIsAnd(p1) )
+ return 0;
+ if ( Hop_ObjFanin0(p0) != Hop_ObjFanin0(p1) || Hop_ObjFanin1(p0) != Hop_ObjFanin1(p1) )
+ return 0;
+ if ( Hop_ObjFaninC0(p0) == Hop_ObjFaninC0(p1) || Hop_ObjFaninC1(p0) == Hop_ObjFaninC1(p1) )
+ return 0;
+ *ppFan0 = Hop_ObjChild0(p0);
+ *ppFan1 = Hop_ObjChild1(p0);
+ return 1;
+}
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Returns i-th elementary variable.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Hop_Obj_t * Hop_IthVar( Hop_Man_t * p, int i )
+{
+ int v;
+ for ( v = Hop_ManPiNum(p); v <= i; v++ )
+ Hop_ObjCreatePi( p );
+ assert( i < Vec_PtrSize(p->vPis) );
+ return Hop_ManPi( p, i );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Perform one operation.]
+
+ Description [The argument nodes can be complemented.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Hop_Obj_t * Hop_Oper( Hop_Man_t * p, Hop_Obj_t * p0, Hop_Obj_t * p1, Hop_Type_t Type )
+{
+ if ( Type == AIG_AND )
+ return Hop_And( p, p0, p1 );
+ if ( Type == AIG_EXOR )
+ return Hop_Exor( p, p0, p1 );
+ assert( 0 );
+ return NULL;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs canonicization step.]
+
+ Description [The argument nodes can be complemented.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Hop_Obj_t * Hop_And( Hop_Man_t * p, Hop_Obj_t * p0, Hop_Obj_t * p1 )
+{
+ Hop_Obj_t * pGhost, * pResult;
+// Hop_Obj_t * pFan0, * pFan1;
+ // check trivial cases
+ if ( p0 == p1 )
+ return p0;
+ if ( p0 == Hop_Not(p1) )
+ return Hop_Not(p->pConst1);
+ if ( Hop_Regular(p0) == p->pConst1 )
+ return p0 == p->pConst1 ? p1 : Hop_Not(p->pConst1);
+ if ( Hop_Regular(p1) == p->pConst1 )
+ return p1 == p->pConst1 ? p0 : Hop_Not(p->pConst1);
+ // check if it can be an EXOR gate
+// if ( Hop_ObjIsExorType( p0, p1, &pFan0, &pFan1 ) )
+// return Hop_Exor( p, pFan0, pFan1 );
+ // check the table
+ pGhost = Hop_ObjCreateGhost( p, p0, p1, AIG_AND );
+ if ( pResult = Hop_TableLookup( p, pGhost ) )
+ return pResult;
+ return Hop_ObjCreate( p, pGhost );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs canonicization step.]
+
+ Description [The argument nodes can be complemented.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Hop_Obj_t * Hop_Exor( Hop_Man_t * p, Hop_Obj_t * p0, Hop_Obj_t * p1 )
+{
+/*
+ Hop_Obj_t * pGhost, * pResult;
+ // check trivial cases
+ if ( p0 == p1 )
+ return Hop_Not(p->pConst1);
+ if ( p0 == Hop_Not(p1) )
+ return p->pConst1;
+ if ( Hop_Regular(p0) == p->pConst1 )
+ return Hop_NotCond( p1, p0 == p->pConst1 );
+ if ( Hop_Regular(p1) == p->pConst1 )
+ return Hop_NotCond( p0, p1 == p->pConst1 );
+ // check the table
+ pGhost = Hop_ObjCreateGhost( p, p0, p1, AIG_EXOR );
+ if ( pResult = Hop_TableLookup( p, pGhost ) )
+ return pResult;
+ return Hop_ObjCreate( p, pGhost );
+*/
+ return Hop_Or( p, Hop_And(p, p0, Hop_Not(p1)), Hop_And(p, Hop_Not(p0), p1) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Implements Boolean OR.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Hop_Obj_t * Hop_Or( Hop_Man_t * p, Hop_Obj_t * p0, Hop_Obj_t * p1 )
+{
+ return Hop_Not( Hop_And( p, Hop_Not(p0), Hop_Not(p1) ) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Implements ITE operation.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Hop_Obj_t * Hop_Mux( Hop_Man_t * p, Hop_Obj_t * pC, Hop_Obj_t * p1, Hop_Obj_t * p0 )
+{
+/*
+ Hop_Obj_t * pTempA1, * pTempA2, * pTempB1, * pTempB2, * pTemp;
+ int Count0, Count1;
+ // consider trivial cases
+ if ( p0 == Hop_Not(p1) )
+ return Hop_Exor( p, pC, p0 );
+ // other cases can be added
+ // implement the first MUX (F = C * x1 + C' * x0)
+
+ // check for constants here!!!
+
+ pTempA1 = Hop_TableLookup( p, Hop_ObjCreateGhost(p, pC, p1, AIG_AND) );
+ pTempA2 = Hop_TableLookup( p, Hop_ObjCreateGhost(p, Hop_Not(pC), p0, AIG_AND) );
+ if ( pTempA1 && pTempA2 )
+ {
+ pTemp = Hop_TableLookup( p, Hop_ObjCreateGhost(p, Hop_Not(pTempA1), Hop_Not(pTempA2), AIG_AND) );
+ if ( pTemp ) return Hop_Not(pTemp);
+ }
+ Count0 = (pTempA1 != NULL) + (pTempA2 != NULL);
+ // implement the second MUX (F' = C * x1' + C' * x0')
+ pTempB1 = Hop_TableLookup( p, Hop_ObjCreateGhost(p, pC, Hop_Not(p1), AIG_AND) );
+ pTempB2 = Hop_TableLookup( p, Hop_ObjCreateGhost(p, Hop_Not(pC), Hop_Not(p0), AIG_AND) );
+ if ( pTempB1 && pTempB2 )
+ {
+ pTemp = Hop_TableLookup( p, Hop_ObjCreateGhost(p, Hop_Not(pTempB1), Hop_Not(pTempB2), AIG_AND) );
+ if ( pTemp ) return pTemp;
+ }
+ Count1 = (pTempB1 != NULL) + (pTempB2 != NULL);
+ // compare and decide which one to implement
+ if ( Count0 >= Count1 )
+ {
+ pTempA1 = pTempA1? pTempA1 : Hop_And(p, pC, p1);
+ pTempA2 = pTempA2? pTempA2 : Hop_And(p, Hop_Not(pC), p0);
+ return Hop_Or( p, pTempA1, pTempA2 );
+ }
+ pTempB1 = pTempB1? pTempB1 : Hop_And(p, pC, Hop_Not(p1));
+ pTempB2 = pTempB2? pTempB2 : Hop_And(p, Hop_Not(pC), Hop_Not(p0));
+ return Hop_Not( Hop_Or( p, pTempB1, pTempB2 ) );
+*/
+ return Hop_Or( p, Hop_And(p, pC, p1), Hop_And(p, Hop_Not(pC), p0) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Implements ITE operation.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Hop_Obj_t * Hop_Maj( Hop_Man_t * p, Hop_Obj_t * pA, Hop_Obj_t * pB, Hop_Obj_t * pC )
+{
+ return Hop_Or( p, Hop_Or(p, Hop_And(p, pA, pB), Hop_And(p, pA, pC)), Hop_And(p, pB, pC) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Constructs the well-balanced tree of gates.]
+
+ Description [Disregards levels and possible logic sharing.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Hop_Obj_t * Hop_Multi_rec( Hop_Man_t * p, Hop_Obj_t ** ppObjs, int nObjs, Hop_Type_t Type )
+{
+ Hop_Obj_t * pObj1, * pObj2;
+ if ( nObjs == 1 )
+ return ppObjs[0];
+ pObj1 = Hop_Multi_rec( p, ppObjs, nObjs/2, Type );
+ pObj2 = Hop_Multi_rec( p, ppObjs + nObjs/2, nObjs - nObjs/2, Type );
+ return Hop_Oper( p, pObj1, pObj2, Type );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Old code.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Hop_Obj_t * Hop_Multi( Hop_Man_t * p, Hop_Obj_t ** pArgs, int nArgs, Hop_Type_t Type )
+{
+ assert( Type == AIG_AND || Type == AIG_EXOR );
+ assert( nArgs > 0 );
+ return Hop_Multi_rec( p, pArgs, nArgs, Type );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Implements the miter.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Hop_Obj_t * Hop_Miter( Hop_Man_t * p, Vec_Ptr_t * vPairs )
+{
+ int i;
+ assert( vPairs->nSize > 0 );
+ assert( vPairs->nSize % 2 == 0 );
+ // go through the cubes of the node's SOP
+ for ( i = 0; i < vPairs->nSize; i += 2 )
+ vPairs->pArray[i/2] = Hop_Not( Hop_Exor( p, vPairs->pArray[i], vPairs->pArray[i+1] ) );
+ vPairs->nSize = vPairs->nSize/2;
+ return Hop_Not( Hop_Multi_rec( p, (Hop_Obj_t **)vPairs->pArray, vPairs->nSize, AIG_AND ) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates AND function with nVars inputs.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Hop_Obj_t * Hop_CreateAnd( Hop_Man_t * p, int nVars )
+{
+ Hop_Obj_t * pFunc;
+ int i;
+ pFunc = Hop_ManConst1( p );
+ for ( i = 0; i < nVars; i++ )
+ pFunc = Hop_And( p, pFunc, Hop_IthVar(p, i) );
+ return pFunc;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates AND function with nVars inputs.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Hop_Obj_t * Hop_CreateOr( Hop_Man_t * p, int nVars )
+{
+ Hop_Obj_t * pFunc;
+ int i;
+ pFunc = Hop_ManConst0( p );
+ for ( i = 0; i < nVars; i++ )
+ pFunc = Hop_Or( p, pFunc, Hop_IthVar(p, i) );
+ return pFunc;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates AND function with nVars inputs.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Hop_Obj_t * Hop_CreateExor( Hop_Man_t * p, int nVars )
+{
+ Hop_Obj_t * pFunc;
+ int i;
+ pFunc = Hop_ManConst0( p );
+ for ( i = 0; i < nVars; i++ )
+ pFunc = Hop_Exor( p, pFunc, Hop_IthVar(p, i) );
+ return pFunc;
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/hop/hopTable.c b/src/aig/hop/hopTable.c
new file mode 100644
index 00000000..76390054
--- /dev/null
+++ b/src/aig/hop/hopTable.c
@@ -0,0 +1,262 @@
+/**CFile****************************************************************
+
+ FileName [hopTable.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [Minimalistic And-Inverter Graph package.]
+
+ Synopsis [Structural hashing table.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - May 11, 2006. ]
+
+ Revision [$Id: hopTable.c,v 1.00 2006/05/11 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "hop.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+// hashing the node
+static unsigned long Hop_Hash( Hop_Obj_t * pObj, int TableSize )
+{
+ unsigned long Key = Hop_ObjIsExor(pObj) * 1699;
+ Key ^= Hop_ObjFanin0(pObj)->Id * 7937;
+ Key ^= Hop_ObjFanin1(pObj)->Id * 2971;
+ Key ^= Hop_ObjFaninC0(pObj) * 911;
+ Key ^= Hop_ObjFaninC1(pObj) * 353;
+ return Key % TableSize;
+}
+
+// returns the place where this node is stored (or should be stored)
+static Hop_Obj_t ** Hop_TableFind( Hop_Man_t * p, Hop_Obj_t * pObj )
+{
+ Hop_Obj_t ** ppEntry;
+ assert( Hop_ObjChild0(pObj) && Hop_ObjChild1(pObj) );
+ assert( Hop_ObjFanin0(pObj)->Id < Hop_ObjFanin1(pObj)->Id );
+ for ( ppEntry = p->pTable + Hop_Hash(pObj, p->nTableSize); *ppEntry; ppEntry = &(*ppEntry)->pNext )
+ if ( *ppEntry == pObj )
+ return ppEntry;
+ assert( *ppEntry == NULL );
+ return ppEntry;
+}
+
+static void Hop_TableResize( Hop_Man_t * p );
+static unsigned int Cudd_PrimeAig( unsigned int p );
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Checks if a node with the given attributes is in the hash table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Hop_Obj_t * Hop_TableLookup( Hop_Man_t * p, Hop_Obj_t * pGhost )
+{
+ Hop_Obj_t * pEntry;
+ assert( !Hop_IsComplement(pGhost) );
+ assert( Hop_ObjChild0(pGhost) && Hop_ObjChild1(pGhost) );
+ assert( Hop_ObjFanin0(pGhost)->Id < Hop_ObjFanin1(pGhost)->Id );
+ if ( p->fRefCount && (!Hop_ObjRefs(Hop_ObjFanin0(pGhost)) || !Hop_ObjRefs(Hop_ObjFanin1(pGhost))) )
+ return NULL;
+ for ( pEntry = p->pTable[Hop_Hash(pGhost, p->nTableSize)]; pEntry; pEntry = pEntry->pNext )
+ {
+ if ( Hop_ObjChild0(pEntry) == Hop_ObjChild0(pGhost) &&
+ Hop_ObjChild1(pEntry) == Hop_ObjChild1(pGhost) &&
+ Hop_ObjType(pEntry) == Hop_ObjType(pGhost) )
+ return pEntry;
+ }
+ return NULL;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Adds the new node to the hash table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Hop_TableInsert( Hop_Man_t * p, Hop_Obj_t * pObj )
+{
+ Hop_Obj_t ** ppPlace;
+ assert( !Hop_IsComplement(pObj) );
+ assert( Hop_TableLookup(p, pObj) == NULL );
+ if ( (pObj->Id & 0xFF) == 0 && 2 * p->nTableSize < Hop_ManNodeNum(p) )
+ Hop_TableResize( p );
+ ppPlace = Hop_TableFind( p, pObj );
+ assert( *ppPlace == NULL );
+ *ppPlace = pObj;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Deletes the node from the hash table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Hop_TableDelete( Hop_Man_t * p, Hop_Obj_t * pObj )
+{
+ Hop_Obj_t ** ppPlace;
+ assert( !Hop_IsComplement(pObj) );
+ ppPlace = Hop_TableFind( p, pObj );
+ assert( *ppPlace == pObj ); // node should be in the table
+ // remove the node
+ *ppPlace = pObj->pNext;
+ pObj->pNext = NULL;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Count the number of nodes in the table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Hop_TableCountEntries( Hop_Man_t * p )
+{
+ Hop_Obj_t * pEntry;
+ int i, Counter = 0;
+ for ( i = 0; i < p->nTableSize; i++ )
+ for ( pEntry = p->pTable[i]; pEntry; pEntry = pEntry->pNext )
+ Counter++;
+ return Counter;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Resizes the table.]
+
+ Description [Typically this procedure should not be called.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Hop_TableResize( Hop_Man_t * p )
+{
+ Hop_Obj_t * pEntry, * pNext;
+ Hop_Obj_t ** pTableOld, ** ppPlace;
+ int nTableSizeOld, Counter, nEntries, i, clk;
+clk = clock();
+ // save the old table
+ pTableOld = p->pTable;
+ nTableSizeOld = p->nTableSize;
+ // get the new table
+ p->nTableSize = Cudd_PrimeAig( 2 * Hop_ManNodeNum(p) );
+ p->pTable = ALLOC( Hop_Obj_t *, p->nTableSize );
+ memset( p->pTable, 0, sizeof(Hop_Obj_t *) * p->nTableSize );
+ // rehash the entries from the old table
+ Counter = 0;
+ for ( i = 0; i < nTableSizeOld; i++ )
+ for ( pEntry = pTableOld[i], pNext = pEntry? pEntry->pNext : NULL; pEntry; pEntry = pNext, pNext = pEntry? pEntry->pNext : NULL )
+ {
+ // get the place where this entry goes in the table
+ ppPlace = Hop_TableFind( p, pEntry );
+ assert( *ppPlace == NULL ); // should not be there
+ // add the entry to the list
+ *ppPlace = pEntry;
+ pEntry->pNext = NULL;
+ Counter++;
+ }
+ nEntries = Hop_ManNodeNum(p);
+ assert( Counter == nEntries );
+// printf( "Increasing the structural table size from %6d to %6d. ", nTableSizeOld, p->nTableSize );
+// PRT( "Time", clock() - clk );
+ // replace the table and the parameters
+ free( pTableOld );
+}
+
+/**Function********************************************************************
+
+ Synopsis [Profiles the hash table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+******************************************************************************/
+void Hop_TableProfile( Hop_Man_t * p )
+{
+ Hop_Obj_t * pEntry;
+ int i, Counter;
+ for ( i = 0; i < p->nTableSize; i++ )
+ {
+ Counter = 0;
+ for ( pEntry = p->pTable[i]; pEntry; pEntry = pEntry->pNext )
+ Counter++;
+ if ( Counter )
+ printf( "%d ", Counter );
+ }
+}
+
+/**Function********************************************************************
+
+ Synopsis [Returns the next prime &gt;= p.]
+
+ Description [Copied from CUDD, for stand-aloneness.]
+
+ SideEffects [None]
+
+ SeeAlso []
+
+******************************************************************************/
+unsigned int Cudd_PrimeAig( unsigned int p)
+{
+ int i,pn;
+ p--;
+ do {
+ p++;
+ if (p&1) {
+ pn = 1;
+ i = 3;
+ while ((unsigned) (i * i) <= p) {
+ if (p % i == 0) {
+ pn = 0;
+ break;
+ }
+ i += 2;
+ }
+ } else {
+ pn = 0;
+ }
+ } while (!pn);
+ return(p);
+
+} /* end of Cudd_Prime */
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/hop/hopUtil.c b/src/aig/hop/hopUtil.c
new file mode 100644
index 00000000..87fdb15e
--- /dev/null
+++ b/src/aig/hop/hopUtil.c
@@ -0,0 +1,572 @@
+/**CFile****************************************************************
+
+ FileName [hopUtil.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [And-Inverter Graph package.]
+
+ Synopsis [Various procedures.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - May 11, 2006.]
+
+ Revision [$Id: hopUtil.c,v 1.00 2006/05/11 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "hop.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Increments the current traversal ID of the network.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Hop_ManIncrementTravId( Hop_Man_t * p )
+{
+ if ( p->nTravIds >= (1<<30)-1 )
+ Hop_ManCleanData( p );
+ p->nTravIds++;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Cleans the data pointers for the nodes.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Hop_ManCleanData( Hop_Man_t * p )
+{
+ Hop_Obj_t * pObj;
+ int i;
+ p->nTravIds = 1;
+ Hop_ManConst1(p)->pData = NULL;
+ Hop_ManForEachPi( p, pObj, i )
+ pObj->pData = NULL;
+ Hop_ManForEachPo( p, pObj, i )
+ pObj->pData = NULL;
+ Hop_ManForEachNode( p, pObj, i )
+ pObj->pData = NULL;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Recursively cleans the data pointers in the cone of the node.]
+
+ Description [Applicable to small AIGs only because no caching is performed.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Hop_ObjCleanData_rec( Hop_Obj_t * pObj )
+{
+ assert( !Hop_IsComplement(pObj) );
+ assert( !Hop_ObjIsPo(pObj) );
+ if ( Hop_ObjIsAnd(pObj) )
+ {
+ Hop_ObjCleanData_rec( Hop_ObjFanin0(pObj) );
+ Hop_ObjCleanData_rec( Hop_ObjFanin1(pObj) );
+ }
+ pObj->pData = NULL;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Detects multi-input gate rooted at this node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Hop_ObjCollectMulti_rec( Hop_Obj_t * pRoot, Hop_Obj_t * pObj, Vec_Ptr_t * vSuper )
+{
+ if ( pRoot != pObj && (Hop_IsComplement(pObj) || Hop_ObjIsPi(pObj) || Hop_ObjType(pRoot) != Hop_ObjType(pObj)) )
+ {
+ Vec_PtrPushUnique(vSuper, pObj);
+ return;
+ }
+ Hop_ObjCollectMulti_rec( pRoot, Hop_ObjChild0(pObj), vSuper );
+ Hop_ObjCollectMulti_rec( pRoot, Hop_ObjChild1(pObj), vSuper );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Detects multi-input gate rooted at this node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Hop_ObjCollectMulti( Hop_Obj_t * pRoot, Vec_Ptr_t * vSuper )
+{
+ assert( !Hop_IsComplement(pRoot) );
+ Vec_PtrClear( vSuper );
+ Hop_ObjCollectMulti_rec( pRoot, pRoot, vSuper );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns 1 if the node is the root of MUX or EXOR/NEXOR.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Hop_ObjIsMuxType( Hop_Obj_t * pNode )
+{
+ Hop_Obj_t * pNode0, * pNode1;
+ // check that the node is regular
+ assert( !Hop_IsComplement(pNode) );
+ // if the node is not AND, this is not MUX
+ if ( !Hop_ObjIsAnd(pNode) )
+ return 0;
+ // if the children are not complemented, this is not MUX
+ if ( !Hop_ObjFaninC0(pNode) || !Hop_ObjFaninC1(pNode) )
+ return 0;
+ // get children
+ pNode0 = Hop_ObjFanin0(pNode);
+ pNode1 = Hop_ObjFanin1(pNode);
+ // if the children are not ANDs, this is not MUX
+ if ( !Hop_ObjIsAnd(pNode0) || !Hop_ObjIsAnd(pNode1) )
+ return 0;
+ // otherwise the node is MUX iff it has a pair of equal grandchildren
+ return (Hop_ObjFanin0(pNode0) == Hop_ObjFanin0(pNode1) && (Hop_ObjFaninC0(pNode0) ^ Hop_ObjFaninC0(pNode1))) ||
+ (Hop_ObjFanin0(pNode0) == Hop_ObjFanin1(pNode1) && (Hop_ObjFaninC0(pNode0) ^ Hop_ObjFaninC1(pNode1))) ||
+ (Hop_ObjFanin1(pNode0) == Hop_ObjFanin0(pNode1) && (Hop_ObjFaninC1(pNode0) ^ Hop_ObjFaninC0(pNode1))) ||
+ (Hop_ObjFanin1(pNode0) == Hop_ObjFanin1(pNode1) && (Hop_ObjFaninC1(pNode0) ^ Hop_ObjFaninC1(pNode1)));
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Recognizes what nodes are inputs of the EXOR.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Hop_ObjRecognizeExor( Hop_Obj_t * pObj, Hop_Obj_t ** ppFan0, Hop_Obj_t ** ppFan1 )
+{
+ Hop_Obj_t * p0, * p1;
+ assert( !Hop_IsComplement(pObj) );
+ if ( !Hop_ObjIsNode(pObj) )
+ return 0;
+ if ( Hop_ObjIsExor(pObj) )
+ {
+ *ppFan0 = Hop_ObjChild0(pObj);
+ *ppFan1 = Hop_ObjChild1(pObj);
+ return 1;
+ }
+ assert( Hop_ObjIsAnd(pObj) );
+ p0 = Hop_ObjChild0(pObj);
+ p1 = Hop_ObjChild1(pObj);
+ if ( !Hop_IsComplement(p0) || !Hop_IsComplement(p1) )
+ return 0;
+ p0 = Hop_Regular(p0);
+ p1 = Hop_Regular(p1);
+ if ( !Hop_ObjIsAnd(p0) || !Hop_ObjIsAnd(p1) )
+ return 0;
+ if ( Hop_ObjFanin0(p0) != Hop_ObjFanin0(p1) || Hop_ObjFanin1(p0) != Hop_ObjFanin1(p1) )
+ return 0;
+ if ( Hop_ObjFaninC0(p0) == Hop_ObjFaninC0(p1) || Hop_ObjFaninC1(p0) == Hop_ObjFaninC1(p1) )
+ return 0;
+ *ppFan0 = Hop_ObjChild0(p0);
+ *ppFan1 = Hop_ObjChild1(p0);
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Recognizes what nodes are control and data inputs of a MUX.]
+
+ Description [If the node is a MUX, returns the control variable C.
+ Assigns nodes T and E to be the then and else variables of the MUX.
+ Node C is never complemented. Nodes T and E can be complemented.
+ This function also recognizes EXOR/NEXOR gates as MUXes.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Hop_Obj_t * Hop_ObjRecognizeMux( Hop_Obj_t * pNode, Hop_Obj_t ** ppNodeT, Hop_Obj_t ** ppNodeE )
+{
+ Hop_Obj_t * pNode0, * pNode1;
+ assert( !Hop_IsComplement(pNode) );
+ assert( Hop_ObjIsMuxType(pNode) );
+ // get children
+ pNode0 = Hop_ObjFanin0(pNode);
+ pNode1 = Hop_ObjFanin1(pNode);
+
+ // find the control variable
+ if ( Hop_ObjFanin1(pNode0) == Hop_ObjFanin1(pNode1) && (Hop_ObjFaninC1(pNode0) ^ Hop_ObjFaninC1(pNode1)) )
+ {
+// if ( Fraig_IsComplement(pNode1->p2) )
+ if ( Hop_ObjFaninC1(pNode0) )
+ { // pNode2->p2 is positive phase of C
+ *ppNodeT = Hop_Not(Hop_ObjChild0(pNode1));//pNode2->p1);
+ *ppNodeE = Hop_Not(Hop_ObjChild0(pNode0));//pNode1->p1);
+ return Hop_ObjChild1(pNode1);//pNode2->p2;
+ }
+ else
+ { // pNode1->p2 is positive phase of C
+ *ppNodeT = Hop_Not(Hop_ObjChild0(pNode0));//pNode1->p1);
+ *ppNodeE = Hop_Not(Hop_ObjChild0(pNode1));//pNode2->p1);
+ return Hop_ObjChild1(pNode0);//pNode1->p2;
+ }
+ }
+ else if ( Hop_ObjFanin0(pNode0) == Hop_ObjFanin0(pNode1) && (Hop_ObjFaninC0(pNode0) ^ Hop_ObjFaninC0(pNode1)) )
+ {
+// if ( Fraig_IsComplement(pNode1->p1) )
+ if ( Hop_ObjFaninC0(pNode0) )
+ { // pNode2->p1 is positive phase of C
+ *ppNodeT = Hop_Not(Hop_ObjChild1(pNode1));//pNode2->p2);
+ *ppNodeE = Hop_Not(Hop_ObjChild1(pNode0));//pNode1->p2);
+ return Hop_ObjChild0(pNode1);//pNode2->p1;
+ }
+ else
+ { // pNode1->p1 is positive phase of C
+ *ppNodeT = Hop_Not(Hop_ObjChild1(pNode0));//pNode1->p2);
+ *ppNodeE = Hop_Not(Hop_ObjChild1(pNode1));//pNode2->p2);
+ return Hop_ObjChild0(pNode0);//pNode1->p1;
+ }
+ }
+ else if ( Hop_ObjFanin0(pNode0) == Hop_ObjFanin1(pNode1) && (Hop_ObjFaninC0(pNode0) ^ Hop_ObjFaninC1(pNode1)) )
+ {
+// if ( Fraig_IsComplement(pNode1->p1) )
+ if ( Hop_ObjFaninC0(pNode0) )
+ { // pNode2->p2 is positive phase of C
+ *ppNodeT = Hop_Not(Hop_ObjChild0(pNode1));//pNode2->p1);
+ *ppNodeE = Hop_Not(Hop_ObjChild1(pNode0));//pNode1->p2);
+ return Hop_ObjChild1(pNode1);//pNode2->p2;
+ }
+ else
+ { // pNode1->p1 is positive phase of C
+ *ppNodeT = Hop_Not(Hop_ObjChild1(pNode0));//pNode1->p2);
+ *ppNodeE = Hop_Not(Hop_ObjChild0(pNode1));//pNode2->p1);
+ return Hop_ObjChild0(pNode0);//pNode1->p1;
+ }
+ }
+ else if ( Hop_ObjFanin1(pNode0) == Hop_ObjFanin0(pNode1) && (Hop_ObjFaninC1(pNode0) ^ Hop_ObjFaninC0(pNode1)) )
+ {
+// if ( Fraig_IsComplement(pNode1->p2) )
+ if ( Hop_ObjFaninC1(pNode0) )
+ { // pNode2->p1 is positive phase of C
+ *ppNodeT = Hop_Not(Hop_ObjChild1(pNode1));//pNode2->p2);
+ *ppNodeE = Hop_Not(Hop_ObjChild0(pNode0));//pNode1->p1);
+ return Hop_ObjChild0(pNode1);//pNode2->p1;
+ }
+ else
+ { // pNode1->p2 is positive phase of C
+ *ppNodeT = Hop_Not(Hop_ObjChild0(pNode0));//pNode1->p1);
+ *ppNodeE = Hop_Not(Hop_ObjChild1(pNode1));//pNode2->p2);
+ return Hop_ObjChild1(pNode0);//pNode1->p2;
+ }
+ }
+ assert( 0 ); // this is not MUX
+ return NULL;
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Prints Eqn formula for the AIG rooted at this node.]
+
+ Description [The formula is in terms of PIs, which should have
+ their names assigned in pObj->pData fields.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Hop_ObjPrintEqn( FILE * pFile, Hop_Obj_t * pObj, Vec_Vec_t * vLevels, int Level )
+{
+ Vec_Ptr_t * vSuper;
+ Hop_Obj_t * pFanin;
+ int fCompl, i;
+ // store the complemented attribute
+ fCompl = Hop_IsComplement(pObj);
+ pObj = Hop_Regular(pObj);
+ // constant case
+ if ( Hop_ObjIsConst1(pObj) )
+ {
+ fprintf( pFile, "%d", !fCompl );
+ return;
+ }
+ // PI case
+ if ( Hop_ObjIsPi(pObj) )
+ {
+ fprintf( pFile, "%s%s", fCompl? "!" : "", pObj->pData );
+ return;
+ }
+ // AND case
+ Vec_VecExpand( vLevels, Level );
+ vSuper = Vec_VecEntry(vLevels, Level);
+ Hop_ObjCollectMulti( pObj, vSuper );
+ fprintf( pFile, "%s", (Level==0? "" : "(") );
+ Vec_PtrForEachEntry( vSuper, pFanin, i )
+ {
+ Hop_ObjPrintEqn( pFile, Hop_NotCond(pFanin, fCompl), vLevels, Level+1 );
+ if ( i < Vec_PtrSize(vSuper) - 1 )
+ fprintf( pFile, " %s ", fCompl? "+" : "*" );
+ }
+ fprintf( pFile, "%s", (Level==0? "" : ")") );
+ return;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Prints Verilog formula for the AIG rooted at this node.]
+
+ Description [The formula is in terms of PIs, which should have
+ their names assigned in pObj->pData fields.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Hop_ObjPrintVerilog( FILE * pFile, Hop_Obj_t * pObj, Vec_Vec_t * vLevels, int Level )
+{
+ Vec_Ptr_t * vSuper;
+ Hop_Obj_t * pFanin, * pFanin0, * pFanin1, * pFaninC;
+ int fCompl, i;
+ // store the complemented attribute
+ fCompl = Hop_IsComplement(pObj);
+ pObj = Hop_Regular(pObj);
+ // constant case
+ if ( Hop_ObjIsConst1(pObj) )
+ {
+ fprintf( pFile, "1\'b%d", !fCompl );
+ return;
+ }
+ // PI case
+ if ( Hop_ObjIsPi(pObj) )
+ {
+ fprintf( pFile, "%s%s", fCompl? "~" : "", pObj->pData );
+ return;
+ }
+ // EXOR case
+ if ( Hop_ObjIsExor(pObj) )
+ {
+ Vec_VecExpand( vLevels, Level );
+ vSuper = Vec_VecEntry( vLevels, Level );
+ Hop_ObjCollectMulti( pObj, vSuper );
+ fprintf( pFile, "%s", (Level==0? "" : "(") );
+ Vec_PtrForEachEntry( vSuper, pFanin, i )
+ {
+ Hop_ObjPrintVerilog( pFile, Hop_NotCond(pFanin, (fCompl && i==0)), vLevels, Level+1 );
+ if ( i < Vec_PtrSize(vSuper) - 1 )
+ fprintf( pFile, " ^ " );
+ }
+ fprintf( pFile, "%s", (Level==0? "" : ")") );
+ return;
+ }
+ // MUX case
+ if ( Hop_ObjIsMuxType(pObj) )
+ {
+ if ( Hop_ObjRecognizeExor( pObj, &pFanin0, &pFanin1 ) )
+ {
+ fprintf( pFile, "%s", (Level==0? "" : "(") );
+ Hop_ObjPrintVerilog( pFile, Hop_NotCond(pFanin0, fCompl), vLevels, Level+1 );
+ fprintf( pFile, " ^ " );
+ Hop_ObjPrintVerilog( pFile, pFanin1, vLevels, Level+1 );
+ fprintf( pFile, "%s", (Level==0? "" : ")") );
+ }
+ else
+ {
+ pFaninC = Hop_ObjRecognizeMux( pObj, &pFanin1, &pFanin0 );
+ fprintf( pFile, "%s", (Level==0? "" : "(") );
+ Hop_ObjPrintVerilog( pFile, pFaninC, vLevels, Level+1 );
+ fprintf( pFile, " ? " );
+ Hop_ObjPrintVerilog( pFile, Hop_NotCond(pFanin1, fCompl), vLevels, Level+1 );
+ fprintf( pFile, " : " );
+ Hop_ObjPrintVerilog( pFile, Hop_NotCond(pFanin0, fCompl), vLevels, Level+1 );
+ fprintf( pFile, "%s", (Level==0? "" : ")") );
+ }
+ return;
+ }
+ // AND case
+ Vec_VecExpand( vLevels, Level );
+ vSuper = Vec_VecEntry(vLevels, Level);
+ Hop_ObjCollectMulti( pObj, vSuper );
+ fprintf( pFile, "%s", (Level==0? "" : "(") );
+ Vec_PtrForEachEntry( vSuper, pFanin, i )
+ {
+ Hop_ObjPrintVerilog( pFile, Hop_NotCond(pFanin, fCompl), vLevels, Level+1 );
+ if ( i < Vec_PtrSize(vSuper) - 1 )
+ fprintf( pFile, " %s ", fCompl? "|" : "&" );
+ }
+ fprintf( pFile, "%s", (Level==0? "" : ")") );
+ return;
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Prints node in HAIG.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Hop_ObjPrintVerbose( Hop_Obj_t * pObj, int fHaig )
+{
+ assert( !Hop_IsComplement(pObj) );
+ printf( "Node %p : ", pObj );
+ if ( Hop_ObjIsConst1(pObj) )
+ printf( "constant 1" );
+ else if ( Hop_ObjIsPi(pObj) )
+ printf( "PI" );
+ else
+ printf( "AND( %p%s, %p%s )",
+ Hop_ObjFanin0(pObj), (Hop_ObjFaninC0(pObj)? "\'" : " "),
+ Hop_ObjFanin1(pObj), (Hop_ObjFaninC1(pObj)? "\'" : " ") );
+ printf( " (refs = %3d)", Hop_ObjRefs(pObj) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Prints node in HAIG.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Hop_ManPrintVerbose( Hop_Man_t * p, int fHaig )
+{
+ Vec_Ptr_t * vNodes;
+ Hop_Obj_t * pObj;
+ int i;
+ printf( "PIs: " );
+ Hop_ManForEachPi( p, pObj, i )
+ printf( " %p", pObj );
+ printf( "\n" );
+ vNodes = Hop_ManDfs( p );
+ Vec_PtrForEachEntry( vNodes, pObj, i )
+ Hop_ObjPrintVerbose( pObj, fHaig ), printf( "\n" );
+ printf( "\n" );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Writes the AIG into the BLIF file.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Hop_ManDumpBlif( Hop_Man_t * p, char * pFileName )
+{
+ FILE * pFile;
+ Vec_Ptr_t * vNodes;
+ Hop_Obj_t * pObj, * pConst1 = NULL;
+ int i, nDigits, Counter = 0;
+ if ( Hop_ManPoNum(p) == 0 )
+ {
+ printf( "Hop_ManDumpBlif(): AIG manager does not have POs.\n" );
+ return;
+ }
+ // collect nodes in the DFS order
+ vNodes = Hop_ManDfs( p );
+ // assign IDs to objects
+ Hop_ManConst1(p)->pData = (void *)Counter++;
+ Hop_ManForEachPi( p, pObj, i )
+ pObj->pData = (void *)Counter++;
+ Hop_ManForEachPo( p, pObj, i )
+ pObj->pData = (void *)Counter++;
+ Vec_PtrForEachEntry( vNodes, pObj, i )
+ pObj->pData = (void *)Counter++;
+ nDigits = Hop_Base10Log( Counter );
+ // write the file
+ pFile = fopen( pFileName, "w" );
+ fprintf( pFile, "# BLIF file written by procedure Hop_ManDumpBlif() in ABC\n" );
+ fprintf( pFile, "# http://www.eecs.berkeley.edu/~alanmi/abc/\n" );
+ fprintf( pFile, ".model test\n" );
+ // write PIs
+ fprintf( pFile, ".inputs" );
+ Hop_ManForEachPi( p, pObj, i )
+ fprintf( pFile, " n%0*d", nDigits, (int)pObj->pData );
+ fprintf( pFile, "\n" );
+ // write POs
+ fprintf( pFile, ".outputs" );
+ Hop_ManForEachPo( p, pObj, i )
+ fprintf( pFile, " n%0*d", nDigits, (int)pObj->pData );
+ fprintf( pFile, "\n" );
+ // write nodes
+ Vec_PtrForEachEntry( vNodes, pObj, i )
+ {
+ fprintf( pFile, ".names n%0*d n%0*d n%0*d\n",
+ nDigits, (int)Hop_ObjFanin0(pObj)->pData,
+ nDigits, (int)Hop_ObjFanin1(pObj)->pData,
+ nDigits, (int)pObj->pData );
+ fprintf( pFile, "%d%d 1\n", !Hop_ObjFaninC0(pObj), !Hop_ObjFaninC1(pObj) );
+ }
+ // write POs
+ Hop_ManForEachPo( p, pObj, i )
+ {
+ fprintf( pFile, ".names n%0*d n%0*d\n",
+ nDigits, (int)Hop_ObjFanin0(pObj)->pData,
+ nDigits, (int)pObj->pData );
+ fprintf( pFile, "%d 1\n", !Hop_ObjFaninC0(pObj) );
+ if ( Hop_ObjIsConst1(Hop_ObjFanin0(pObj)) )
+ pConst1 = Hop_ManConst1(p);
+ }
+ if ( pConst1 )
+ fprintf( pFile, ".names n%0*d\n 1\n", nDigits, (int)pConst1->pData );
+ fprintf( pFile, ".end\n\n" );
+ fclose( pFile );
+ Vec_PtrFree( vNodes );
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/hop/hop_.c b/src/aig/hop/hop_.c
new file mode 100644
index 00000000..468413fa
--- /dev/null
+++ b/src/aig/hop/hop_.c
@@ -0,0 +1,48 @@
+/**CFile****************************************************************
+
+ FileName [ivy_.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [Minimalistic And-Inverter Graph package.]
+
+ Synopsis []
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - May 11, 2006.]
+
+ Revision [$Id: ivy_.c,v 1.00 2006/05/11 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "ivy.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/hop/module.make b/src/aig/hop/module.make
new file mode 100644
index 00000000..b06d91fd
--- /dev/null
+++ b/src/aig/hop/module.make
@@ -0,0 +1,9 @@
+SRC += src/aig/hop/hopBalance.c \
+ src/aig/hop/hopCheck.c \
+ src/aig/hop/hopDfs.c \
+ src/aig/hop/hopMan.c \
+ src/aig/hop/hopMem.c \
+ src/aig/hop/hopObj.c \
+ src/aig/hop/hopOper.c \
+ src/aig/hop/hopTable.c \
+ src/aig/hop/hopUtil.c
diff --git a/src/aig/ioa/ioa.h b/src/aig/ioa/ioa.h
new file mode 100644
index 00000000..3458d12e
--- /dev/null
+++ b/src/aig/ioa/ioa.h
@@ -0,0 +1,80 @@
+/**CFile****************************************************************
+
+ FileName [ioa.h]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [AIG package.]
+
+ Synopsis [External declarations.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - April 28, 2007.]
+
+ Revision [$Id: ioa.h,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#ifndef __IOA_H__
+#define __IOA_H__
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+////////////////////////////////////////////////////////////////////////
+/// INCLUDES ///
+////////////////////////////////////////////////////////////////////////
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <assert.h>
+#include <time.h>
+
+#include "vec.h"
+#include "bar.h"
+#include "aig.h"
+
+////////////////////////////////////////////////////////////////////////
+/// PARAMETERS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// BASIC TYPES ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// MACRO DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// ITERATORS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/*=== ioaReadAig.c ========================================================*/
+extern Aig_Man_t * Ioa_ReadAiger( char * pFileName, int fCheck );
+/*=== ioaWriteAig.c =======================================================*/
+extern void Ioa_WriteAiger( Aig_Man_t * pMan, char * pFileName, int fWriteSymbols );
+/*=== ioaUtil.c =======================================================*/
+extern int Ioa_FileSize( char * pFileName );
+extern char * Ioa_FileNameGeneric( char * FileName );
+extern char * Ioa_TimeStamp();
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
diff --git a/src/aig/ioa/ioaReadAig.c b/src/aig/ioa/ioaReadAig.c
new file mode 100644
index 00000000..937e446f
--- /dev/null
+++ b/src/aig/ioa/ioaReadAig.c
@@ -0,0 +1,312 @@
+/**CFile****************************************************************
+
+ FileName [ioaReadAiger.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [Command processing package.]
+
+ Synopsis [Procedures to read binary AIGER format developed by
+ Armin Biere, Johannes Kepler University (http://fmv.jku.at/)]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - December 16, 2006.]
+
+ Revision [$Id: ioaReadAiger.c,v 1.00 2006/12/16 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "ioa.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+unsigned Ioa_ReadAigerDecode( char ** ppPos );
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Reads the AIG in the binary AIGER format.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Man_t * Ioa_ReadAiger( char * pFileName, int fCheck )
+{
+ Bar_Progress_t * pProgress;
+ FILE * pFile;
+ Vec_Ptr_t * vNodes, * vDrivers;//, * vTerms;
+ Aig_Obj_t * pObj, * pNode0, * pNode1;
+ Aig_Man_t * pManNew;
+ int nTotal, nInputs, nOutputs, nLatches, nAnds, nFileSize, i;//, iTerm, nDigits;
+ char * pContents, * pDrivers, * pSymbols, * pCur, * pName;//, * pType;
+ unsigned uLit0, uLit1, uLit;
+
+ // read the file into the buffer
+ nFileSize = Ioa_FileSize( pFileName );
+ pFile = fopen( pFileName, "rb" );
+ pContents = ALLOC( char, nFileSize );
+ fread( pContents, nFileSize, 1, pFile );
+ fclose( pFile );
+
+ // check if the input file format is correct
+ if ( strncmp(pContents, "aig", 3) != 0 )
+ {
+ fprintf( stdout, "Wrong input file format.\n" );
+ return NULL;
+ }
+
+ // read the file type
+ pCur = pContents; while ( *pCur++ != ' ' );
+ // read the number of objects
+ nTotal = atoi( pCur ); while ( *pCur++ != ' ' );
+ // read the number of inputs
+ nInputs = atoi( pCur ); while ( *pCur++ != ' ' );
+ // read the number of latches
+ nLatches = atoi( pCur ); while ( *pCur++ != ' ' );
+ // read the number of outputs
+ nOutputs = atoi( pCur ); while ( *pCur++ != ' ' );
+ // read the number of nodes
+ nAnds = atoi( pCur ); while ( *pCur++ != '\n' );
+ // check the parameters
+ if ( nTotal != nInputs + nLatches + nAnds )
+ {
+ fprintf( stdout, "The paramters are wrong.\n" );
+ return NULL;
+ }
+
+ // allocate the empty AIG
+ pManNew = Aig_ManStart( nAnds );
+ pName = Ioa_FileNameGeneric( pFileName );
+ pManNew->pName = Aig_UtilStrsav( pName );
+// pManNew->pSpec = Ioa_UtilStrsav( pFileName );
+ free( pName );
+
+ // prepare the array of nodes
+ vNodes = Vec_PtrAlloc( 1 + nInputs + nLatches + nAnds );
+ Vec_PtrPush( vNodes, Aig_ManConst0(pManNew) );
+
+ // create the PIs
+ for ( i = 0; i < nInputs + nLatches; i++ )
+ {
+ pObj = Aig_ObjCreatePi(pManNew);
+ Vec_PtrPush( vNodes, pObj );
+ }
+/*
+ // create the POs
+ for ( i = 0; i < nOutputs + nLatches; i++ )
+ {
+ pObj = Aig_ObjCreatePo(pManNew);
+ }
+*/
+ // create the latches
+ pManNew->nRegs = nLatches;
+/*
+ nDigits = Ioa_Base10Log( nLatches );
+ for ( i = 0; i < nLatches; i++ )
+ {
+ pObj = Aig_ObjCreateLatch(pManNew);
+ Aig_LatchSetInit0( pObj );
+ pNode0 = Aig_ObjCreateBi(pManNew);
+ pNode1 = Aig_ObjCreateBo(pManNew);
+ Aig_ObjAddFanin( pObj, pNode0 );
+ Aig_ObjAddFanin( pNode1, pObj );
+ Vec_PtrPush( vNodes, pNode1 );
+ // assign names to latch and its input
+// Aig_ObjAssignName( pObj, Aig_ObjNameDummy("_L", i, nDigits), NULL );
+// printf( "Creating latch %s with input %d and output %d.\n", Aig_ObjName(pObj), pNode0->Id, pNode1->Id );
+ }
+*/
+
+ // remember the beginning of latch/PO literals
+ pDrivers = pCur;
+
+ // scroll to the beginning of the binary data
+ for ( i = 0; i < nLatches + nOutputs; )
+ if ( *pCur++ == '\n' )
+ i++;
+
+ // create the AND gates
+ pProgress = Bar_ProgressStart( stdout, nAnds );
+ for ( i = 0; i < nAnds; i++ )
+ {
+ Bar_ProgressUpdate( pProgress, i, NULL );
+ uLit = ((i + 1 + nInputs + nLatches) << 1);
+ uLit1 = uLit - Ioa_ReadAigerDecode( &pCur );
+ uLit0 = uLit1 - Ioa_ReadAigerDecode( &pCur );
+// assert( uLit1 > uLit0 );
+ pNode0 = Aig_NotCond( Vec_PtrEntry(vNodes, uLit0 >> 1), uLit0 & 1 );
+ pNode1 = Aig_NotCond( Vec_PtrEntry(vNodes, uLit1 >> 1), uLit1 & 1 );
+ assert( Vec_PtrSize(vNodes) == i + 1 + nInputs + nLatches );
+ Vec_PtrPush( vNodes, Aig_And(pManNew, pNode0, pNode1) );
+ }
+ Bar_ProgressStop( pProgress );
+
+ // remember the place where symbols begin
+ pSymbols = pCur;
+
+ // read the latch driver literals
+ vDrivers = Vec_PtrAlloc( nLatches + nOutputs );
+ pCur = pDrivers;
+// Aig_ManForEachLatchInput( pManNew, pObj, i )
+ for ( i = 0; i < nLatches; i++ )
+ {
+ uLit0 = atoi( pCur ); while ( *pCur++ != '\n' );
+ pNode0 = Aig_NotCond( Vec_PtrEntry(vNodes, uLit0 >> 1), (uLit0 & 1) );//^ (uLit0 < 2) );
+// Aig_ObjAddFanin( pObj, pNode0 );
+ Vec_PtrPush( vDrivers, pNode0 );
+ }
+ // read the PO driver literals
+// Aig_ManForEachPo( pManNew, pObj, i )
+ for ( i = 0; i < nOutputs; i++ )
+ {
+ uLit0 = atoi( pCur ); while ( *pCur++ != '\n' );
+ pNode0 = Aig_NotCond( Vec_PtrEntry(vNodes, uLit0 >> 1), (uLit0 & 1) );//^ (uLit0 < 2) );
+// Aig_ObjAddFanin( pObj, pNode0 );
+ Vec_PtrPush( vDrivers, pNode0 );
+ }
+
+
+ // create the POs
+ for ( i = 0; i < nOutputs; i++ )
+ Aig_ObjCreatePo( pManNew, Vec_PtrEntry(vDrivers, nLatches + i) );
+ for ( i = 0; i < nLatches; i++ )
+ Aig_ObjCreatePo( pManNew, Vec_PtrEntry(vDrivers, i) );
+ Vec_PtrFree( vDrivers );
+
+/*
+ // read the names if present
+ pCur = pSymbols;
+ if ( *pCur != 'c' )
+ {
+ int Counter = 0;
+ while ( pCur < pContents + nFileSize && *pCur != 'c' )
+ {
+ // get the terminal type
+ pType = pCur;
+ if ( *pCur == 'i' )
+ vTerms = pManNew->vPis;
+ else if ( *pCur == 'l' )
+ vTerms = pManNew->vBoxes;
+ else if ( *pCur == 'o' )
+ vTerms = pManNew->vPos;
+ else
+ {
+ fprintf( stdout, "Wrong terminal type.\n" );
+ return NULL;
+ }
+ // get the terminal number
+ iTerm = atoi( ++pCur ); while ( *pCur++ != ' ' );
+ // get the node
+ if ( iTerm >= Vec_PtrSize(vTerms) )
+ {
+ fprintf( stdout, "The number of terminal is out of bound.\n" );
+ return NULL;
+ }
+ pObj = Vec_PtrEntry( vTerms, iTerm );
+ if ( *pType == 'l' )
+ pObj = Aig_ObjFanout0(pObj);
+ // assign the name
+ pName = pCur; while ( *pCur++ != '\n' );
+ // assign this name
+ *(pCur-1) = 0;
+ Aig_ObjAssignName( pObj, pName, NULL );
+ if ( *pType == 'l' )
+ {
+ Aig_ObjAssignName( Aig_ObjFanin0(pObj), Aig_ObjName(pObj), "L" );
+ Aig_ObjAssignName( Aig_ObjFanin0(Aig_ObjFanin0(pObj)), Aig_ObjName(pObj), "_in" );
+ }
+ // mark the node as named
+ pObj->pCopy = (Aig_Obj_t *)Aig_ObjName(pObj);
+ }
+
+ // assign the remaining names
+ Aig_ManForEachPi( pManNew, pObj, i )
+ {
+ if ( pObj->pCopy ) continue;
+ Aig_ObjAssignName( pObj, Aig_ObjName(pObj), NULL );
+ Counter++;
+ }
+ Aig_ManForEachLatchOutput( pManNew, pObj, i )
+ {
+ if ( pObj->pCopy ) continue;
+ Aig_ObjAssignName( pObj, Aig_ObjName(pObj), NULL );
+ Aig_ObjAssignName( Aig_ObjFanin0(pObj), Aig_ObjName(pObj), "L" );
+ Aig_ObjAssignName( Aig_ObjFanin0(Aig_ObjFanin0(pObj)), Aig_ObjName(pObj), "_in" );
+ Counter++;
+ }
+ Aig_ManForEachPo( pManNew, pObj, i )
+ {
+ if ( pObj->pCopy ) continue;
+ Aig_ObjAssignName( pObj, Aig_ObjName(pObj), NULL );
+ Counter++;
+ }
+ if ( Counter )
+ printf( "Ioa_ReadAiger(): Added %d default names for nameless I/O/register objects.\n", Counter );
+ }
+ else
+ {
+// printf( "Ioa_ReadAiger(): I/O/register names are not given. Generating short names.\n" );
+ Aig_ManShortNames( pManNew );
+ }
+*/
+
+ // skipping the comments
+ free( pContents );
+ Vec_PtrFree( vNodes );
+
+ // remove the extra nodes
+ Aig_ManCleanup( pManNew );
+
+ // check the result
+ if ( fCheck && !Aig_ManCheck( pManNew ) )
+ {
+ printf( "Ioa_ReadAiger: The network check has failed.\n" );
+ Aig_ManStop( pManNew );
+ return NULL;
+ }
+ return pManNew;
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Extracts one unsigned AIG edge from the input buffer.]
+
+ Description [This procedure is a slightly modified version of Armin Biere's
+ procedure "unsigned decode (FILE * file)". ]
+
+ SideEffects [Updates the current reading position.]
+
+ SeeAlso []
+
+***********************************************************************/
+unsigned Ioa_ReadAigerDecode( char ** ppPos )
+{
+ unsigned x = 0, i = 0;
+ unsigned char ch;
+
+// while ((ch = getnoneofch (file)) & 0x80)
+ while ((ch = *(*ppPos)++) & 0x80)
+ x |= (ch & 0x7f) << (7 * i++);
+
+ return x | (ch << (7 * i));
+}
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/ioa/ioaUtil.c b/src/aig/ioa/ioaUtil.c
new file mode 100644
index 00000000..79dcca1e
--- /dev/null
+++ b/src/aig/ioa/ioaUtil.c
@@ -0,0 +1,117 @@
+/**CFile****************************************************************
+
+ FileName [ioaUtil.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [Command processing package.]
+
+ Synopsis [Procedures to read binary AIGER format developed by
+ Armin Biere, Johannes Kepler University (http://fmv.jku.at/)]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - December 16, 2006.]
+
+ Revision [$Id: ioaUtil.c,v 1.00 2006/12/16 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "ioa.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Returns the file size.]
+
+ Description [The file should be closed.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ioa_FileSize( char * pFileName )
+{
+ FILE * pFile;
+ int nFileSize;
+ pFile = fopen( pFileName, "r" );
+ if ( pFile == NULL )
+ {
+ printf( "Ioa_FileSize(): The file is unavailable (absent or open).\n" );
+ return 0;
+ }
+ fseek( pFile, 0, SEEK_END );
+ nFileSize = ftell( pFile );
+ fclose( pFile );
+ return nFileSize;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+char * Ioa_FileNameGeneric( char * FileName )
+{
+ char * pDot;
+ char * pUnd;
+ char * pRes;
+
+ // find the generic name of the file
+ pRes = Aig_UtilStrsav( FileName );
+ // find the pointer to the "." symbol in the file name
+// pUnd = strstr( FileName, "_" );
+ pUnd = NULL;
+ pDot = strstr( FileName, "." );
+ if ( pUnd )
+ pRes[pUnd - FileName] = 0;
+ else if ( pDot )
+ pRes[pDot - FileName] = 0;
+ return pRes;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns the time stamp.]
+
+ Description [The file should be closed.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+char * Ioa_TimeStamp()
+{
+ static char Buffer[100];
+ char * TimeStamp;
+ time_t ltime;
+ // get the current time
+ time( &ltime );
+ TimeStamp = asctime( localtime( &ltime ) );
+ TimeStamp[ strlen(TimeStamp) - 1 ] = 0;
+ strcpy( Buffer, TimeStamp );
+ return Buffer;
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/ioa/ioaWriteAig.c b/src/aig/ioa/ioaWriteAig.c
new file mode 100644
index 00000000..a6c23fd4
--- /dev/null
+++ b/src/aig/ioa/ioaWriteAig.c
@@ -0,0 +1,292 @@
+/**CFile****************************************************************
+
+ FileName [ioaWriteAiger.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [Command processing package.]
+
+ Synopsis [Procedures to write binary AIGER format developed by
+ Armin Biere, Johannes Kepler University (http://fmv.jku.at/)]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - December 16, 2006.]
+
+ Revision [$Id: ioaWriteAiger.c,v 1.00 2006/12/16 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "ioa.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/*
+ The following is taken from the AIGER format description,
+ which can be found at http://fmv.jku.at/aiger
+*/
+
+
+/*
+ The AIGER And-Inverter Graph (AIG) Format Version 20061129
+ ----------------------------------------------------------
+ Armin Biere, Johannes Kepler University, 2006
+
+ This report describes the AIG file format as used by the AIGER library.
+ The purpose of this report is not only to motivate and document the
+ format, but also to allow independent implementations of writers and
+ readers by giving precise and unambiguous definitions.
+
+ ...
+
+Introduction
+
+ The name AIGER contains as one part the acronym AIG of And-Inverter
+ Graphs and also if pronounced in German sounds like the name of the
+ 'Eiger', a mountain in the Swiss alps. This choice should emphasize the
+ origin of this format. It was first openly discussed at the Alpine
+ Verification Meeting 2006 in Ascona as a way to provide a simple, compact
+ file format for a model checking competition affiliated to CAV 2007.
+
+ ...
+
+Binary Format Definition
+
+ The binary format is semantically a subset of the ASCII format with a
+ slightly different syntax. The binary format may need to reencode
+ literals, but translating a file in binary format into ASCII format and
+ then back in to binary format will result in the same file.
+
+ The main differences of the binary format to the ASCII format are as
+ follows. After the header the list of input literals and all the
+ current state literals of a latch can be omitted. Furthermore the
+ definitions of the AND gates are binary encoded. However, the symbol
+ table and the comment section are as in the ASCII format.
+
+ The header of an AIGER file in binary format has 'aig' as format
+ identifier, but otherwise is identical to the ASCII header. The standard
+ file extension for the binary format is therefore '.aig'.
+
+ A header for the binary format is still in ASCII encoding:
+
+ aig M I L O A
+
+ Constants, variables and literals are handled in the same way as in the
+ ASCII format. The first simplifying restriction is on the variable
+ indices of inputs and latches. The variable indices of inputs come first,
+ followed by the pseudo-primary inputs of the latches and then the variable
+ indices of all LHS of AND gates:
+
+ input variable indices 1, 2, ... , I
+ latch variable indices I+1, I+2, ... , (I+L)
+ AND variable indices I+L+1, I+L+2, ... , (I+L+A) == M
+
+ The corresponding unsigned literals are
+
+ input literals 2, 4, ... , 2*I
+ latch literals 2*I+2, 2*I+4, ... , 2*(I+L)
+ AND literals 2*(I+L)+2, 2*(I+L)+4, ... , 2*(I+L+A) == 2*M
+
+ All literals have to be defined, and therefore 'M = I + L + A'. With this
+ restriction it becomes possible that the inputs and the current state
+ literals of the latches do not have to be listed explicitly. Therefore,
+ after the header only the list of 'L' next state literals follows, one per
+ latch on a single line, and then the 'O' outputs, again one per line.
+
+ In the binary format we assume that the AND gates are ordered and respect
+ the child parent relation. AND gates with smaller literals on the LHS
+ come first. Therefore we can assume that the literals on the right-hand
+ side of a definition of an AND gate are smaller than the LHS literal.
+ Furthermore we can sort the literals on the RHS, such that the larger
+ literal comes first. A definition thus consists of three literals
+
+ lhs rhs0 rhs1
+
+ with 'lhs' even and 'lhs > rhs0 >= rhs1'. Also the variable indices are
+ pairwise different to avoid combinational self loops. Since the LHS
+ indices of the definitions are all consecutive (as even integers),
+ the binary format does not have to keep 'lhs'. In addition, we can use
+ the order restriction and only write the differences 'delta0' and 'delta1'
+ instead of 'rhs0' and 'rhs1', with
+
+ delta0 = lhs - rhs0, delta1 = rhs0 - rhs1
+
+ The differences will all be strictly positive, and in practice often very
+ small. We can take advantage of this fact by the simple little-endian
+ encoding of unsigned integers of the next section. After the binary delta
+ encoding of the RHSs of all AND gates, the optional symbol table and
+ optional comment section start in the same format as in the ASCII case.
+
+ ...
+
+*/
+
+static unsigned Ioa_ObjMakeLit( int Var, int fCompl ) { return (Var << 1) | fCompl; }
+static unsigned Ioa_ObjAigerNum( Aig_Obj_t * pObj ) { return (unsigned)pObj->pData; }
+static void Ioa_ObjSetAigerNum( Aig_Obj_t * pObj, unsigned Num ) { pObj->pData = (void *)Num; }
+
+int Ioa_WriteAigerEncode( char * pBuffer, int Pos, unsigned x );
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Writes the AIG in the binary AIGER format.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ioa_WriteAiger( Aig_Man_t * pMan, char * pFileName, int fWriteSymbols )
+{
+ Bar_Progress_t * pProgress;
+ FILE * pFile;
+ Aig_Obj_t * pObj, * pDriver;
+ int i, nNodes, Pos, nBufferSize;
+ unsigned char * pBuffer;
+ unsigned uLit0, uLit1, uLit;
+
+// assert( Aig_ManIsStrash(pMan) );
+ // start the output stream
+ pFile = fopen( pFileName, "wb" );
+ if ( pFile == NULL )
+ {
+ fprintf( stdout, "Ioa_WriteAiger(): Cannot open the output file \"%s\".\n", pFileName );
+ return;
+ }
+/*
+ Aig_ManForEachLatch( pMan, pObj, i )
+ if ( !Aig_LatchIsInit0(pObj) )
+ {
+ fprintf( stdout, "Ioa_WriteAiger(): Cannot write AIGER format with non-0 latch init values. Run \"zero\".\n" );
+ return;
+ }
+*/
+ // set the node numbers to be used in the output file
+ nNodes = 0;
+ Ioa_ObjSetAigerNum( Aig_ManConst1(pMan), nNodes++ );
+ Aig_ManForEachPi( pMan, pObj, i )
+ Ioa_ObjSetAigerNum( pObj, nNodes++ );
+ Aig_ManForEachNode( pMan, pObj, i )
+ Ioa_ObjSetAigerNum( pObj, nNodes++ );
+
+ // write the header "M I L O A" where M = I + L + A
+ fprintf( pFile, "aig %u %u %u %u %u\n",
+ Aig_ManPiNum(pMan) + Aig_ManNodeNum(pMan),
+ Aig_ManPiNum(pMan) - Aig_ManRegNum(pMan),
+ Aig_ManRegNum(pMan),
+ Aig_ManPoNum(pMan) - Aig_ManRegNum(pMan),
+ Aig_ManNodeNum(pMan) );
+
+ // if the driver node is a constant, we need to complement the literal below
+ // because, in the AIGER format, literal 0/1 is represented as number 0/1
+ // while, in ABC, constant 1 node has number 0 and so literal 0/1 will be 1/0
+
+ // write latch drivers
+ Aig_ManForEachLiSeq( pMan, pObj, i )
+ {
+ pDriver = Aig_ObjFanin0(pObj);
+ fprintf( pFile, "%u\n", Ioa_ObjMakeLit( Ioa_ObjAigerNum(pDriver), Aig_ObjFaninC0(pObj) ^ (Ioa_ObjAigerNum(pDriver) == 0) ) );
+ }
+
+ // write PO drivers
+ Aig_ManForEachPoSeq( pMan, pObj, i )
+ {
+ pDriver = Aig_ObjFanin0(pObj);
+ fprintf( pFile, "%u\n", Ioa_ObjMakeLit( Ioa_ObjAigerNum(pDriver), Aig_ObjFaninC0(pObj) ^ (Ioa_ObjAigerNum(pDriver) == 0) ) );
+ }
+
+ // write the nodes into the buffer
+ Pos = 0;
+ nBufferSize = 6 * Aig_ManNodeNum(pMan) + 100; // skeptically assuming 3 chars per one AIG edge
+ pBuffer = ALLOC( char, nBufferSize );
+ pProgress = Bar_ProgressStart( stdout, Aig_ManObjNumMax(pMan) );
+ Aig_ManForEachNode( pMan, pObj, i )
+ {
+ Bar_ProgressUpdate( pProgress, i, NULL );
+ uLit = Ioa_ObjMakeLit( Ioa_ObjAigerNum(pObj), 0 );
+ uLit0 = Ioa_ObjMakeLit( Ioa_ObjAigerNum(Aig_ObjFanin0(pObj)), Aig_ObjFaninC0(pObj) );
+ uLit1 = Ioa_ObjMakeLit( Ioa_ObjAigerNum(Aig_ObjFanin1(pObj)), Aig_ObjFaninC1(pObj) );
+ assert( uLit0 < uLit1 );
+ Pos = Ioa_WriteAigerEncode( pBuffer, Pos, uLit - uLit1 );
+ Pos = Ioa_WriteAigerEncode( pBuffer, Pos, uLit1 - uLit0 );
+ if ( Pos > nBufferSize - 10 )
+ {
+ printf( "Ioa_WriteAiger(): AIGER generation has failed because the allocated buffer is too small.\n" );
+ fclose( pFile );
+ return;
+ }
+ }
+ assert( Pos < nBufferSize );
+ Bar_ProgressStop( pProgress );
+
+ // write the buffer
+ fwrite( pBuffer, 1, Pos, pFile );
+ free( pBuffer );
+/*
+ // write the symbol table
+ if ( fWriteSymbols )
+ {
+ // write PIs
+ Aig_ManForEachPi( pMan, pObj, i )
+ fprintf( pFile, "i%d %s\n", i, Aig_ObjName(pObj) );
+ // write latches
+ Aig_ManForEachLatch( pMan, pObj, i )
+ fprintf( pFile, "l%d %s\n", i, Aig_ObjName(Aig_ObjFanout0(pObj)) );
+ // write POs
+ Aig_ManForEachPo( pMan, pObj, i )
+ fprintf( pFile, "o%d %s\n", i, Aig_ObjName(pObj) );
+ }
+*/
+ // write the comment
+ fprintf( pFile, "c\n" );
+ if ( pMan->pName )
+ fprintf( pFile, ".model %s\n", pMan->pName );
+ fprintf( pFile, "This file was produced by the AIG package in ABC on %s\n", Ioa_TimeStamp() );
+ fprintf( pFile, "For information about AIGER format, refer to %s\n", "http://fmv.jku.at/aiger" );
+ fclose( pFile );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Adds one unsigned AIG edge to the output buffer.]
+
+ Description [This procedure is a slightly modified version of Armin Biere's
+ procedure "void encode (FILE * file, unsigned x)" ]
+
+ SideEffects [Returns the current writing position.]
+
+ SeeAlso []
+
+***********************************************************************/
+int Ioa_WriteAigerEncode( char * pBuffer, int Pos, unsigned x )
+{
+ unsigned char ch;
+ while (x & ~0x7f)
+ {
+ ch = (x & 0x7f) | 0x80;
+// putc (ch, file);
+ pBuffer[Pos++] = ch;
+ x >>= 7;
+ }
+ ch = x;
+// putc (ch, file);
+ pBuffer[Pos++] = ch;
+ return Pos;
+}
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/ioa/module.make b/src/aig/ioa/module.make
new file mode 100644
index 00000000..66b4a0d5
--- /dev/null
+++ b/src/aig/ioa/module.make
@@ -0,0 +1,3 @@
+SRC += src/aig/ioa/ioaReadAig.c \
+ src/aig/ioa/ioaWriteAig.c \
+ src/aig/ioa/ioaUtil.c
diff --git a/src/aig/ivy/attr.h b/src/aig/ivy/attr.h
new file mode 100644
index 00000000..16cf0b84
--- /dev/null
+++ b/src/aig/ivy/attr.h
@@ -0,0 +1,414 @@
+/**CFile****************************************************************
+
+ FileName [attr.h]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [Network attributes.]
+
+ Synopsis [External declarations.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - June 20, 2005.]
+
+ Revision [$Id: attr.h,v 1.00 2005/06/20 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#ifndef __ATTR_H__
+#define __ATTR_H__
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+////////////////////////////////////////////////////////////////////////
+/// INCLUDES ///
+////////////////////////////////////////////////////////////////////////
+
+#include "extra.h"
+
+////////////////////////////////////////////////////////////////////////
+/// PARAMETERS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// BASIC TYPES ///
+////////////////////////////////////////////////////////////////////////
+
+typedef struct Attr_ManStruct_t_ Attr_Man_t;
+struct Attr_ManStruct_t_
+{
+ // attribute info
+ int nAttrSize; // the size of each attribute in bytes
+ Extra_MmFixed_t * pManMem; // memory manager for attributes
+ int nAttrs; // the number of attributes allocated
+ void ** pAttrs; // the array of attributes
+ int fUseInt; // uses integer attributes
+ // attribute specific info
+ void * pManAttr; // the manager for this attribute
+ void (*pFuncFreeMan) (void *); // the procedure to call to free attribute-specific manager
+ void (*pFuncFreeObj) (void *, void *); // the procedure to call to free attribute-specific data
+};
+
+// at any time, an attribute of the given ID can be
+// - not available (p->nAttrs < Id)
+// - available but not allocated (p->nAttrs >= Id && p->pAttrs[Id] == NULL)
+// - available and allocated (p->nAttrs >= Id && p->pAttrs[Id] != NULL)
+
+////////////////////////////////////////////////////////////////////////
+/// MACRO DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Allocates the attribute manager.]
+
+ Description [The manager is simple if it does not need memory manager.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline Attr_Man_t * Attr_ManAlloc( int nAttrSize, int fManMem )
+{
+ Attr_Man_t * p;
+ p = ALLOC( Attr_Man_t, 1 );
+ memset( p, 0, sizeof(Attr_Man_t) );
+ p->nAttrSize = nAttrSize;
+ if ( fManMem )
+ p->pManMem = Extra_MmFixedStart( nAttrSize );
+ return p;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Start the attribute manager for integers.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline Attr_Man_t * Attr_ManStartInt( int nAttrs )
+{
+ Attr_Man_t * p;
+ p = Attr_ManAlloc( sizeof(int), 0 );
+ p->nAttrs = nAttrs;
+ p->pAttrs = (void **)ALLOC( int, nAttrs );
+ memset( (int *)p->pAttrs, 0, sizeof(int) * nAttrs );
+ p->fUseInt = 1;
+ return p;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Start the attribute manager for pointers.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline Attr_Man_t * Attr_ManStartPtr( int nAttrs )
+{
+ Attr_Man_t * p;
+ p = Attr_ManAlloc( sizeof(void *), 0 );
+ p->nAttrs = nAttrs;
+ p->pAttrs = ALLOC( void *, nAttrs );
+ memset( p->pAttrs, 0, sizeof(void *) * nAttrs );
+ return p;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Start the attribute manager for the fixed entry size.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline Attr_Man_t * Attr_ManStartPtrMem( int nAttrs, int nAttrSize )
+{
+ Attr_Man_t * p;
+ int i;
+ p = Attr_ManAlloc( nAttrSize, 1 );
+ p->nAttrs = nAttrs;
+ p->pAttrs = ALLOC( void *, nAttrs );
+ for ( i = 0; i < p->nAttrs; i++ )
+ {
+ p->pAttrs[i] = Extra_MmFixedEntryFetch( p->pManMem );
+ memset( p->pAttrs[i], 0, nAttrSize );
+ }
+ return p;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Stop the attribute manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline void Attr_ManStop( Attr_Man_t * p )
+{
+ // free the attributes of objects
+ if ( p->pFuncFreeObj )
+ {
+ int i;
+ if ( p->fUseInt )
+ {
+ for ( i = 0; i < p->nAttrs; i++ )
+ if ( ((int *)p->pAttrs)[i] )
+ p->pFuncFreeObj( p->pManAttr, (void *)((int *)p->pAttrs)[i] );
+ }
+ else
+ {
+ for ( i = 0; i < p->nAttrs; i++ )
+ if ( p->pAttrs[i] )
+ p->pFuncFreeObj( p->pManAttr, p->pAttrs[i] );
+ }
+ }
+ // free the attribute manager
+ if ( p->pManAttr && p->pFuncFreeMan )
+ p->pFuncFreeMan( p->pManAttr );
+ // free the memory manager
+ if ( p->pManMem )
+ Extra_MmFixedStop( p->pManMem);
+ // free the attribute manager
+ FREE( p->pAttrs );
+ free( p );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Reads the attribute of the given object.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int Attr_ManReadAttrInt( Attr_Man_t * p, int Id )
+{
+ assert( p->fUseInt );
+ if ( Id >= p->nAttrs )
+ return 0;
+ return ((int *)p->pAttrs)[Id];
+}
+
+/**Function*************************************************************
+
+ Synopsis [Reads the attribute of the given object.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline void * Attr_ManReadAttrPtr( Attr_Man_t * p, int Id )
+{
+ assert( !p->fUseInt );
+ if ( Id >= p->nAttrs )
+ return NULL;
+ return p->pAttrs[Id];
+}
+
+/**Function*************************************************************
+
+ Synopsis [Writes the attribute of the given object.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline void Attr_ManWriteAttrInt( Attr_Man_t * p, int Id, int Attr )
+{
+ assert( p->fUseInt );
+ ((int *)p->pAttrs)[Id] = Attr;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Writes the attribute of the given object.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline void Attr_ManWriteAttrPtr( Attr_Man_t * p, int Id, void * pAttr )
+{
+ assert( !p->fUseInt );
+ assert( p->pManMem == NULL );
+ p->pAttrs[Id] = pAttr;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns or creates the pointer to the attribute of the given object.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int * Attr_ManFetchSpotInt( Attr_Man_t * p, int Id )
+{
+ assert( p->fUseInt );
+ if ( Id >= p->nAttrs )
+ {
+ // save the old size
+ int i, nAttrsOld = p->nAttrs;
+ // get the new size
+ p->nAttrs = p->nAttrs? 2*p->nAttrs : 1024;
+ p->pAttrs = realloc( p->pAttrs, sizeof(int) * p->nAttrs );
+ // fill in the empty spots
+ for ( i = nAttrsOld; i < p->nAttrs; i++ )
+ ((int *)p->pAttrs)[Id] = 0;
+ }
+ return ((int *)p->pAttrs) + Id;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns or creates the pointer to the attribute of the given object.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline void ** Attr_ManFetchSpotPtr( Attr_Man_t * p, int Id )
+{
+ assert( !p->fUseInt );
+ if ( Id >= p->nAttrs )
+ {
+ // save the old size
+ int i, nAttrsOld = p->nAttrs;
+ // get the new size
+ p->nAttrs = p->nAttrs? 2*p->nAttrs : 1024;
+ p->pAttrs = realloc( p->pAttrs, sizeof(void *) * p->nAttrs );
+ // fill in the empty spots
+ for ( i = nAttrsOld; i < p->nAttrs; i++ )
+ p->pAttrs[Id] = NULL;
+ }
+ // if memory manager is available but entry is not created, create it
+ if ( p->pManMem && p->pAttrs[Id] != NULL )
+ {
+ p->pAttrs[Id] = Extra_MmFixedEntryFetch( p->pManMem );
+ memset( p->pAttrs[Id], 0, p->nAttrSize );
+ }
+ return p->pAttrs + Id;
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Returns or creates the attribute of the given object.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int Attr_ManFetchAttrInt( Attr_Man_t * p, int Id )
+{
+ return *Attr_ManFetchSpotInt( p, Id );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns or creates the attribute of the given object.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline void * Attr_ManFetchAttrPtr( Attr_Man_t * p, int Id )
+{
+ return *Attr_ManFetchSpotPtr( p, Id );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Sets the attribute of the given object.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline void Attr_ManSetAttrInt( Attr_Man_t * p, int Id, int Attr )
+{
+ *Attr_ManFetchSpotInt( p, Id ) = Attr;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Sets the attribute of the given object.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline void Attr_ManSetAttrPtr( Attr_Man_t * p, int Id, void * pAttr )
+{
+ assert( p->pManMem == NULL );
+ *Attr_ManFetchSpotPtr( p, Id ) = pAttr;
+}
+
+
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
diff --git a/src/aig/ivy/ivy.h b/src/aig/ivy/ivy.h
new file mode 100644
index 00000000..c7435a63
--- /dev/null
+++ b/src/aig/ivy/ivy.h
@@ -0,0 +1,557 @@
+/**CFile****************************************************************
+
+ FileName [ivy.h]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [And-Inverter Graph package.]
+
+ Synopsis [External declarations.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - May 11, 2006.]
+
+ Revision [$Id: ivy.c,v 1.00 2006/05/11 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#ifndef __IVY_H__
+#define __IVY_H__
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+////////////////////////////////////////////////////////////////////////
+/// INCLUDES ///
+////////////////////////////////////////////////////////////////////////
+
+#include <stdio.h>
+#include "extra.h"
+#include "vec.h"
+
+////////////////////////////////////////////////////////////////////////
+/// PARAMETERS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// BASIC TYPES ///
+////////////////////////////////////////////////////////////////////////
+
+typedef struct Ivy_Man_t_ Ivy_Man_t;
+typedef struct Ivy_Obj_t_ Ivy_Obj_t;
+typedef int Ivy_Edge_t;
+typedef struct Ivy_FraigParams_t_ Ivy_FraigParams_t;
+
+// object types
+typedef enum {
+ IVY_NONE, // 0: non-existent object
+ IVY_PI, // 1: primary input (and constant 1 node)
+ IVY_PO, // 2: primary output
+ IVY_ASSERT, // 3: assertion
+ IVY_LATCH, // 4: sequential element
+ IVY_AND, // 5: AND node
+ IVY_EXOR, // 6: EXOR node
+ IVY_BUF, // 7: buffer (temporary)
+ IVY_VOID // 8: unused object
+} Ivy_Type_t;
+
+// latch initial values
+typedef enum {
+ IVY_INIT_NONE, // 0: not a latch
+ IVY_INIT_0, // 1: zero
+ IVY_INIT_1, // 2: one
+ IVY_INIT_DC // 3: don't-care
+} Ivy_Init_t;
+
+// the AIG node
+struct Ivy_Obj_t_ // 24 bytes (32-bit) or 32 bytes (64-bit) // 10 words - 16 words
+{
+ int Id; // integer ID
+ int TravId; // traversal ID
+ unsigned Type : 4; // object type
+ unsigned fMarkA : 1; // multipurpose mask
+ unsigned fMarkB : 1; // multipurpose mask
+ unsigned fExFan : 1; // set to 1 if last fanout added is EXOR
+ unsigned fPhase : 1; // value under 000...0 pattern
+ unsigned fFailTfo : 1; // the TFO of the failed node
+ unsigned Init : 2; // latch initial value
+ unsigned Level : 21; // logic level
+ int nRefs; // reference counter
+ Ivy_Obj_t * pFanin0; // fanin
+ Ivy_Obj_t * pFanin1; // fanin
+ Ivy_Obj_t * pFanout; // fanout
+ Ivy_Obj_t * pNextFan0; // next fanout of the first fanin
+ Ivy_Obj_t * pNextFan1; // next fanout of the second fanin
+ Ivy_Obj_t * pPrevFan0; // prev fanout of the first fanin
+ Ivy_Obj_t * pPrevFan1; // prev fanout of the second fanin
+ Ivy_Obj_t * pEquiv; // equivalent node
+};
+
+// the AIG manager
+struct Ivy_Man_t_
+{
+ // AIG nodes
+ Vec_Ptr_t * vPis; // the array of PIs
+ Vec_Ptr_t * vPos; // the array of POs
+ Vec_Ptr_t * vBufs; // the array of buffers
+ Vec_Ptr_t * vObjs; // the array of objects
+ Ivy_Obj_t * pConst1; // the constant 1 node
+ Ivy_Obj_t Ghost; // the ghost node
+ // AIG node counters
+ int nObjs[IVY_VOID];// the number of objects by type
+ int nCreated; // the number of created objects
+ int nDeleted; // the number of deleted objects
+ // stuctural hash table
+ int * pTable; // structural hash table
+ int nTableSize; // structural hash table size
+ // various data members
+ int fCatchExor; // set to 1 to detect EXORs
+ int nTravIds; // the traversal ID
+ int nLevelMax; // the maximum level
+ Vec_Int_t * vRequired; // required times
+ int fFanout; // fanout is allocated
+ void * pData; // the temporary data
+ void * pCopy; // the temporary data
+ Ivy_Man_t * pHaig; // history AIG if present
+ int nClassesSkip; // the number of skipped classes
+ // memory management
+ Vec_Ptr_t * vChunks; // allocated memory pieces
+ Vec_Ptr_t * vPages; // memory pages used by nodes
+ Ivy_Obj_t * pListFree; // the list of free nodes
+ // timing statistics
+ int time1;
+ int time2;
+};
+
+struct Ivy_FraigParams_t_
+{
+ int nSimWords; // the number of words in the simulation info
+ double dSimSatur; // the ratio of refined classes when saturation is reached
+ int fPatScores; // enables simulation pattern scoring
+ int MaxScore; // max score after which resimulation is used
+ double dActConeRatio; // the ratio of cone to be bumped
+ double dActConeBumpMax; // the largest bump in activity
+ int fProve; // prove the miter outputs
+ int fVerbose; // verbose output
+ int fDoSparse; // skip sparse functions
+ int nBTLimitNode; // conflict limit at a node
+ int nBTLimitMiter; // conflict limit at an output
+// int nBTLimitGlobal; // conflict limit global
+// int nInsLimitNode; // inspection limit at a node
+// int nInsLimitMiter; // inspection limit at an output
+// int nInsLimitGlobal; // inspection limit global
+};
+
+
+#define IVY_CUT_LIMIT 256
+#define IVY_CUT_INPUT 6
+
+typedef struct Ivy_Cut_t_ Ivy_Cut_t;
+struct Ivy_Cut_t_
+{
+ int nLatches;
+ short nSize;
+ short nSizeMax;
+ int pArray[IVY_CUT_INPUT];
+ unsigned uHash;
+};
+
+typedef struct Ivy_Store_t_ Ivy_Store_t;
+struct Ivy_Store_t_
+{
+ int nCuts;
+ int nCutsM;
+ int nCutsMax;
+ int fSatur;
+ Ivy_Cut_t pCuts[IVY_CUT_LIMIT]; // storage for cuts
+};
+
+#define IVY_LEAF_MASK 255
+#define IVY_LEAF_BITS 8
+
+////////////////////////////////////////////////////////////////////////
+/// MACRO DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+#define IVY_MIN(a,b) (((a) < (b))? (a) : (b))
+#define IVY_MAX(a,b) (((a) > (b))? (a) : (b))
+
+static inline int Ivy_BitWordNum( int nBits ) { return (nBits>>5) + ((nBits&31) > 0); }
+static inline int Ivy_TruthWordNum( int nVars ) { return nVars <= 5 ? 1 : (1 << (nVars - 5)); }
+static inline int Ivy_InfoHasBit( unsigned * p, int i ) { return (p[(i)>>5] & (1<<((i) & 31))) > 0; }
+static inline void Ivy_InfoSetBit( unsigned * p, int i ) { p[(i)>>5] |= (1<<((i) & 31)); }
+static inline void Ivy_InfoXorBit( unsigned * p, int i ) { p[(i)>>5] ^= (1<<((i) & 31)); }
+
+static inline Ivy_Obj_t * Ivy_Regular( Ivy_Obj_t * p ) { return (Ivy_Obj_t *)((unsigned long)(p) & ~01); }
+static inline Ivy_Obj_t * Ivy_Not( Ivy_Obj_t * p ) { return (Ivy_Obj_t *)((unsigned long)(p) ^ 01); }
+static inline Ivy_Obj_t * Ivy_NotCond( Ivy_Obj_t * p, int c ) { return (Ivy_Obj_t *)((unsigned long)(p) ^ (c)); }
+static inline int Ivy_IsComplement( Ivy_Obj_t * p ) { return (int)((unsigned long)(p) & 01); }
+
+static inline Ivy_Obj_t * Ivy_ManConst0( Ivy_Man_t * p ) { return Ivy_Not(p->pConst1); }
+static inline Ivy_Obj_t * Ivy_ManConst1( Ivy_Man_t * p ) { return p->pConst1; }
+static inline Ivy_Obj_t * Ivy_ManGhost( Ivy_Man_t * p ) { return &p->Ghost; }
+static inline Ivy_Obj_t * Ivy_ManPi( Ivy_Man_t * p, int i ) { return (Ivy_Obj_t *)Vec_PtrEntry(p->vPis, i); }
+static inline Ivy_Obj_t * Ivy_ManPo( Ivy_Man_t * p, int i ) { return (Ivy_Obj_t *)Vec_PtrEntry(p->vPos, i); }
+static inline Ivy_Obj_t * Ivy_ManObj( Ivy_Man_t * p, int i ) { return (Ivy_Obj_t *)Vec_PtrEntry(p->vObjs, i); }
+
+static inline Ivy_Edge_t Ivy_EdgeCreate( int Id, int fCompl ) { return (Id << 1) | fCompl; }
+static inline int Ivy_EdgeId( Ivy_Edge_t Edge ) { return Edge >> 1; }
+static inline int Ivy_EdgeIsComplement( Ivy_Edge_t Edge ) { return Edge & 1; }
+static inline Ivy_Edge_t Ivy_EdgeRegular( Ivy_Edge_t Edge ) { return (Edge >> 1) << 1; }
+static inline Ivy_Edge_t Ivy_EdgeNot( Ivy_Edge_t Edge ) { return Edge ^ 1; }
+static inline Ivy_Edge_t Ivy_EdgeNotCond( Ivy_Edge_t Edge, int fCond ) { return Edge ^ fCond; }
+static inline Ivy_Edge_t Ivy_EdgeFromNode( Ivy_Obj_t * pNode ) { return Ivy_EdgeCreate( Ivy_Regular(pNode)->Id, Ivy_IsComplement(pNode) ); }
+static inline Ivy_Obj_t * Ivy_EdgeToNode( Ivy_Man_t * p, Ivy_Edge_t Edge ){ return Ivy_NotCond( Ivy_ManObj(p, Ivy_EdgeId(Edge)), Ivy_EdgeIsComplement(Edge) ); }
+
+static inline int Ivy_LeafCreate( int Id, int Lat ) { return (Id << IVY_LEAF_BITS) | Lat; }
+static inline int Ivy_LeafId( int Leaf ) { return Leaf >> IVY_LEAF_BITS; }
+static inline int Ivy_LeafLat( int Leaf ) { return Leaf & IVY_LEAF_MASK; }
+
+static inline int Ivy_ManPiNum( Ivy_Man_t * p ) { return p->nObjs[IVY_PI]; }
+static inline int Ivy_ManPoNum( Ivy_Man_t * p ) { return p->nObjs[IVY_PO]; }
+static inline int Ivy_ManAssertNum( Ivy_Man_t * p ) { return p->nObjs[IVY_ASSERT]; }
+static inline int Ivy_ManLatchNum( Ivy_Man_t * p ) { return p->nObjs[IVY_LATCH]; }
+static inline int Ivy_ManAndNum( Ivy_Man_t * p ) { return p->nObjs[IVY_AND]; }
+static inline int Ivy_ManExorNum( Ivy_Man_t * p ) { return p->nObjs[IVY_EXOR]; }
+static inline int Ivy_ManBufNum( Ivy_Man_t * p ) { return p->nObjs[IVY_BUF]; }
+static inline int Ivy_ManObjNum( Ivy_Man_t * p ) { return p->nCreated - p->nDeleted; }
+static inline int Ivy_ManObjIdMax( Ivy_Man_t * p ) { return Vec_PtrSize(p->vObjs)-1; }
+static inline int Ivy_ManNodeNum( Ivy_Man_t * p ) { return p->nObjs[IVY_AND]+p->nObjs[IVY_EXOR];}
+static inline int Ivy_ManHashObjNum( Ivy_Man_t * p ) { return p->nObjs[IVY_AND]+p->nObjs[IVY_EXOR]+p->nObjs[IVY_LATCH]; }
+static inline int Ivy_ManGetCost( Ivy_Man_t * p ) { return p->nObjs[IVY_AND]+3*p->nObjs[IVY_EXOR]+8*p->nObjs[IVY_LATCH]; }
+
+static inline Ivy_Type_t Ivy_ObjType( Ivy_Obj_t * pObj ) { return pObj->Type; }
+static inline Ivy_Init_t Ivy_ObjInit( Ivy_Obj_t * pObj ) { return pObj->Init; }
+static inline int Ivy_ObjIsConst1( Ivy_Obj_t * pObj ) { return pObj->Id == 0; }
+static inline int Ivy_ObjIsGhost( Ivy_Obj_t * pObj ) { return pObj->Id < 0; }
+static inline int Ivy_ObjIsNone( Ivy_Obj_t * pObj ) { return pObj->Type == IVY_NONE; }
+static inline int Ivy_ObjIsPi( Ivy_Obj_t * pObj ) { return pObj->Type == IVY_PI; }
+static inline int Ivy_ObjIsPo( Ivy_Obj_t * pObj ) { return pObj->Type == IVY_PO; }
+static inline int Ivy_ObjIsCi( Ivy_Obj_t * pObj ) { return pObj->Type == IVY_PI || pObj->Type == IVY_LATCH; }
+static inline int Ivy_ObjIsCo( Ivy_Obj_t * pObj ) { return pObj->Type == IVY_PO || pObj->Type == IVY_LATCH; }
+static inline int Ivy_ObjIsAssert( Ivy_Obj_t * pObj ) { return pObj->Type == IVY_ASSERT; }
+static inline int Ivy_ObjIsLatch( Ivy_Obj_t * pObj ) { return pObj->Type == IVY_LATCH; }
+static inline int Ivy_ObjIsAnd( Ivy_Obj_t * pObj ) { return pObj->Type == IVY_AND; }
+static inline int Ivy_ObjIsExor( Ivy_Obj_t * pObj ) { return pObj->Type == IVY_EXOR; }
+static inline int Ivy_ObjIsBuf( Ivy_Obj_t * pObj ) { return pObj->Type == IVY_BUF; }
+static inline int Ivy_ObjIsNode( Ivy_Obj_t * pObj ) { return pObj->Type == IVY_AND || pObj->Type == IVY_EXOR; }
+static inline int Ivy_ObjIsTerm( Ivy_Obj_t * pObj ) { return pObj->Type == IVY_PI || pObj->Type == IVY_PO || pObj->Type == IVY_ASSERT; }
+static inline int Ivy_ObjIsHash( Ivy_Obj_t * pObj ) { return pObj->Type == IVY_AND || pObj->Type == IVY_EXOR || pObj->Type == IVY_LATCH; }
+static inline int Ivy_ObjIsOneFanin( Ivy_Obj_t * pObj ) { return pObj->Type == IVY_PO || pObj->Type == IVY_ASSERT || pObj->Type == IVY_BUF || pObj->Type == IVY_LATCH; }
+
+static inline int Ivy_ObjIsMarkA( Ivy_Obj_t * pObj ) { return pObj->fMarkA; }
+static inline void Ivy_ObjSetMarkA( Ivy_Obj_t * pObj ) { pObj->fMarkA = 1; }
+static inline void Ivy_ObjClearMarkA( Ivy_Obj_t * pObj ) { pObj->fMarkA = 0; }
+
+static inline void Ivy_ObjSetTravId( Ivy_Obj_t * pObj, int TravId ) { pObj->TravId = TravId; }
+static inline void Ivy_ObjSetTravIdCurrent( Ivy_Man_t * p, Ivy_Obj_t * pObj ) { pObj->TravId = p->nTravIds; }
+static inline void Ivy_ObjSetTravIdPrevious( Ivy_Man_t * p, Ivy_Obj_t * pObj ) { pObj->TravId = p->nTravIds - 1; }
+static inline int Ivy_ObjIsTravIdCurrent( Ivy_Man_t * p, Ivy_Obj_t * pObj ) { return (int )((int)pObj->TravId == p->nTravIds); }
+static inline int Ivy_ObjIsTravIdPrevious( Ivy_Man_t * p, Ivy_Obj_t * pObj ) { return (int )((int)pObj->TravId == p->nTravIds - 1); }
+
+static inline int Ivy_ObjId( Ivy_Obj_t * pObj ) { return pObj->Id; }
+static inline int Ivy_ObjTravId( Ivy_Obj_t * pObj ) { return pObj->TravId; }
+static inline int Ivy_ObjPhase( Ivy_Obj_t * pObj ) { return pObj->fPhase; }
+static inline int Ivy_ObjExorFanout( Ivy_Obj_t * pObj ) { return pObj->fExFan; }
+static inline int Ivy_ObjRefs( Ivy_Obj_t * pObj ) { return pObj->nRefs; }
+static inline void Ivy_ObjRefsInc( Ivy_Obj_t * pObj ) { pObj->nRefs++; }
+static inline void Ivy_ObjRefsDec( Ivy_Obj_t * pObj ) { assert( pObj->nRefs > 0 ); pObj->nRefs--; }
+static inline int Ivy_ObjFaninId0( Ivy_Obj_t * pObj ) { return pObj->pFanin0? Ivy_ObjId(Ivy_Regular(pObj->pFanin0)) : 0; }
+static inline int Ivy_ObjFaninId1( Ivy_Obj_t * pObj ) { return pObj->pFanin1? Ivy_ObjId(Ivy_Regular(pObj->pFanin1)) : 0; }
+static inline int Ivy_ObjFaninC0( Ivy_Obj_t * pObj ) { return Ivy_IsComplement(pObj->pFanin0); }
+static inline int Ivy_ObjFaninC1( Ivy_Obj_t * pObj ) { return Ivy_IsComplement(pObj->pFanin1); }
+static inline Ivy_Obj_t * Ivy_ObjFanin0( Ivy_Obj_t * pObj ) { return Ivy_Regular(pObj->pFanin0); }
+static inline Ivy_Obj_t * Ivy_ObjFanin1( Ivy_Obj_t * pObj ) { return Ivy_Regular(pObj->pFanin1); }
+static inline Ivy_Obj_t * Ivy_ObjChild0( Ivy_Obj_t * pObj ) { return pObj->pFanin0; }
+static inline Ivy_Obj_t * Ivy_ObjChild1( Ivy_Obj_t * pObj ) { return pObj->pFanin1; }
+static inline Ivy_Obj_t * Ivy_ObjChild0Equiv( Ivy_Obj_t * pObj ) { assert( !Ivy_IsComplement(pObj) ); return Ivy_ObjFanin0(pObj)? Ivy_NotCond(Ivy_ObjFanin0(pObj)->pEquiv, Ivy_ObjFaninC0(pObj)) : NULL; }
+static inline Ivy_Obj_t * Ivy_ObjChild1Equiv( Ivy_Obj_t * pObj ) { assert( !Ivy_IsComplement(pObj) ); return Ivy_ObjFanin1(pObj)? Ivy_NotCond(Ivy_ObjFanin1(pObj)->pEquiv, Ivy_ObjFaninC1(pObj)) : NULL; }
+static inline Ivy_Obj_t * Ivy_ObjEquiv( Ivy_Obj_t * pObj ) { return Ivy_Regular(pObj)->pEquiv? Ivy_NotCond(Ivy_Regular(pObj)->pEquiv, Ivy_IsComplement(pObj)) : NULL; }
+static inline int Ivy_ObjLevel( Ivy_Obj_t * pObj ) { return pObj->Level; }
+static inline int Ivy_ObjLevelNew( Ivy_Obj_t * pObj ) { return 1 + Ivy_ObjIsExor(pObj) + IVY_MAX(Ivy_ObjFanin0(pObj)->Level, Ivy_ObjFanin1(pObj)->Level); }
+static inline int Ivy_ObjFaninPhase( Ivy_Obj_t * pObj ) { return Ivy_IsComplement(pObj)? !Ivy_Regular(pObj)->fPhase : pObj->fPhase; }
+
+static inline void Ivy_ObjClean( Ivy_Obj_t * pObj )
+{
+ int IdSaved = pObj->Id;
+ memset( pObj, 0, sizeof(Ivy_Obj_t) );
+ pObj->Id = IdSaved;
+}
+static inline void Ivy_ObjOverwrite( Ivy_Obj_t * pBase, Ivy_Obj_t * pData )
+{
+ int IdSaved = pBase->Id;
+ memcpy( pBase, pData, sizeof(Ivy_Obj_t) );
+ pBase->Id = IdSaved;
+}
+static inline int Ivy_ObjWhatFanin( Ivy_Obj_t * pObj, Ivy_Obj_t * pFanin )
+{
+ if ( Ivy_ObjFanin0(pObj) == pFanin ) return 0;
+ if ( Ivy_ObjFanin1(pObj) == pFanin ) return 1;
+ assert(0); return -1;
+}
+static inline int Ivy_ObjFanoutC( Ivy_Obj_t * pObj, Ivy_Obj_t * pFanout )
+{
+ if ( Ivy_ObjFanin0(pFanout) == pObj ) return Ivy_ObjFaninC0(pObj);
+ if ( Ivy_ObjFanin1(pFanout) == pObj ) return Ivy_ObjFaninC1(pObj);
+ assert(0); return -1;
+}
+
+// create the ghost of the new node
+static inline Ivy_Obj_t * Ivy_ObjCreateGhost( Ivy_Man_t * p, Ivy_Obj_t * p0, Ivy_Obj_t * p1, Ivy_Type_t Type, Ivy_Init_t Init )
+{
+ Ivy_Obj_t * pGhost, * pTemp;
+ assert( Type != IVY_AND || !Ivy_ObjIsConst1(Ivy_Regular(p0)) );
+ assert( p1 == NULL || !Ivy_ObjIsConst1(Ivy_Regular(p1)) );
+ assert( Type == IVY_PI || Ivy_Regular(p0) != Ivy_Regular(p1) );
+ assert( Type != IVY_LATCH || !Ivy_IsComplement(p0) );
+// assert( p1 == NULL || (!Ivy_ObjIsLatch(Ivy_Regular(p0)) || !Ivy_ObjIsLatch(Ivy_Regular(p1))) );
+ pGhost = Ivy_ManGhost(p);
+ pGhost->Type = Type;
+ pGhost->Init = Init;
+ pGhost->pFanin0 = p0;
+ pGhost->pFanin1 = p1;
+ if ( p1 && Ivy_ObjFaninId0(pGhost) > Ivy_ObjFaninId1(pGhost) )
+ pTemp = pGhost->pFanin0, pGhost->pFanin0 = pGhost->pFanin1, pGhost->pFanin1 = pTemp;
+ return pGhost;
+}
+
+// get the complemented initial state
+static Ivy_Init_t Ivy_InitNotCond( Ivy_Init_t Init, int fCompl )
+{
+ assert( Init != IVY_INIT_NONE );
+ if ( fCompl == 0 )
+ return Init;
+ if ( Init == IVY_INIT_0 )
+ return IVY_INIT_1;
+ if ( Init == IVY_INIT_1 )
+ return IVY_INIT_0;
+ return IVY_INIT_DC;
+}
+
+// get the initial state after forward retiming over AND gate
+static Ivy_Init_t Ivy_InitAnd( Ivy_Init_t InitA, Ivy_Init_t InitB )
+{
+ assert( InitA != IVY_INIT_NONE && InitB != IVY_INIT_NONE );
+ if ( InitA == IVY_INIT_0 || InitB == IVY_INIT_0 )
+ return IVY_INIT_0;
+ if ( InitA == IVY_INIT_DC || InitB == IVY_INIT_DC )
+ return IVY_INIT_DC;
+ return IVY_INIT_1;
+}
+
+// get the initial state after forward retiming over EXOR gate
+static Ivy_Init_t Ivy_InitExor( Ivy_Init_t InitA, Ivy_Init_t InitB )
+{
+ assert( InitA != IVY_INIT_NONE && InitB != IVY_INIT_NONE );
+ if ( InitA == IVY_INIT_DC || InitB == IVY_INIT_DC )
+ return IVY_INIT_DC;
+ if ( InitA == IVY_INIT_0 && InitB == IVY_INIT_1 )
+ return IVY_INIT_1;
+ if ( InitA == IVY_INIT_1 && InitB == IVY_INIT_0 )
+ return IVY_INIT_1;
+ return IVY_INIT_0;
+}
+
+// internal memory manager
+static inline Ivy_Obj_t * Ivy_ManFetchMemory( Ivy_Man_t * p )
+{
+ extern void Ivy_ManAddMemory( Ivy_Man_t * p );
+ Ivy_Obj_t * pTemp;
+ if ( p->pListFree == NULL )
+ Ivy_ManAddMemory( p );
+ pTemp = p->pListFree;
+ p->pListFree = *((Ivy_Obj_t **)pTemp);
+ memset( pTemp, 0, sizeof(Ivy_Obj_t) );
+ return pTemp;
+}
+static inline void Ivy_ManRecycleMemory( Ivy_Man_t * p, Ivy_Obj_t * pEntry )
+{
+ pEntry->Type = IVY_NONE; // distinquishes dead node from live node
+ *((Ivy_Obj_t **)pEntry) = p->pListFree;
+ p->pListFree = pEntry;
+}
+
+
+////////////////////////////////////////////////////////////////////////
+/// ITERATORS ///
+////////////////////////////////////////////////////////////////////////
+
+// iterator over the primary inputs
+#define Ivy_ManForEachPi( p, pObj, i ) \
+ Vec_PtrForEachEntry( p->vPis, pObj, i )
+// iterator over the primary outputs
+#define Ivy_ManForEachPo( p, pObj, i ) \
+ Vec_PtrForEachEntry( p->vPos, pObj, i )
+// iterator over all objects, including those currently not used
+#define Ivy_ManForEachObj( p, pObj, i ) \
+ Vec_PtrForEachEntry( p->vObjs, pObj, i ) if ( (pObj) == NULL ) {} else
+// iterator over the combinational inputs
+#define Ivy_ManForEachCi( p, pObj, i ) \
+ Ivy_ManForEachObj( p, pObj, i ) if ( !Ivy_ObjIsCi(pObj) ) {} else
+// iterator over the combinational outputs
+#define Ivy_ManForEachCo( p, pObj, i ) \
+ Ivy_ManForEachObj( p, pObj, i ) if ( !Ivy_ObjIsCo(pObj) ) {} else
+// iterator over logic nodes (AND and EXOR gates)
+#define Ivy_ManForEachNode( p, pObj, i ) \
+ Ivy_ManForEachObj( p, pObj, i ) if ( !Ivy_ObjIsNode(pObj) ) {} else
+// iterator over logic latches
+#define Ivy_ManForEachLatch( p, pObj, i ) \
+ Ivy_ManForEachObj( p, pObj, i ) if ( !Ivy_ObjIsLatch(pObj) ) {} else
+// iterator over the nodes whose IDs are stored in the array
+#define Ivy_ManForEachNodeVec( p, vIds, pObj, i ) \
+ for ( i = 0; i < Vec_IntSize(vIds) && ((pObj) = Ivy_ManObj(p, Vec_IntEntry(vIds,i))); i++ )
+// iterator over the fanouts of an object
+#define Ivy_ObjForEachFanout( p, pObj, vArray, pFanout, i ) \
+ for ( i = 0, Ivy_ObjCollectFanouts(p, pObj, vArray); \
+ i < Vec_PtrSize(vArray) && ((pFanout) = Vec_PtrEntry(vArray,i)); i++ )
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/*=== ivyBalance.c ========================================================*/
+extern Ivy_Man_t * Ivy_ManBalance( Ivy_Man_t * p, int fUpdateLevel );
+extern Ivy_Obj_t * Ivy_NodeBalanceBuildSuper( Ivy_Man_t * p, Vec_Ptr_t * vSuper, Ivy_Type_t Type, int fUpdateLevel );
+/*=== ivyCanon.c ========================================================*/
+extern Ivy_Obj_t * Ivy_CanonAnd( Ivy_Man_t * p, Ivy_Obj_t * p0, Ivy_Obj_t * p1 );
+extern Ivy_Obj_t * Ivy_CanonExor( Ivy_Man_t * p, Ivy_Obj_t * p0, Ivy_Obj_t * p1 );
+extern Ivy_Obj_t * Ivy_CanonLatch( Ivy_Man_t * p, Ivy_Obj_t * pObj, Ivy_Init_t Init );
+/*=== ivyCheck.c ========================================================*/
+extern int Ivy_ManCheck( Ivy_Man_t * p );
+extern int Ivy_ManCheckFanoutNums( Ivy_Man_t * p );
+extern int Ivy_ManCheckFanouts( Ivy_Man_t * p );
+extern int Ivy_ManCheckChoices( Ivy_Man_t * p );
+/*=== ivyCut.c ==========================================================*/
+extern void Ivy_ManSeqFindCut( Ivy_Man_t * p, Ivy_Obj_t * pNode, Vec_Int_t * vFront, Vec_Int_t * vInside, int nSize );
+extern Ivy_Store_t * Ivy_NodeFindCutsAll( Ivy_Man_t * p, Ivy_Obj_t * pObj, int nLeaves );
+/*=== ivyDfs.c ==========================================================*/
+extern Vec_Int_t * Ivy_ManDfs( Ivy_Man_t * p );
+extern Vec_Int_t * Ivy_ManDfsSeq( Ivy_Man_t * p, Vec_Int_t ** pvLatches );
+extern void Ivy_ManCollectCone( Ivy_Obj_t * pObj, Vec_Ptr_t * vFront, Vec_Ptr_t * vCone );
+extern Vec_Vec_t * Ivy_ManLevelize( Ivy_Man_t * p );
+extern Vec_Int_t * Ivy_ManRequiredLevels( Ivy_Man_t * p );
+extern int Ivy_ManIsAcyclic( Ivy_Man_t * p );
+extern int Ivy_ManSetLevels( Ivy_Man_t * p, int fHaig );
+/*=== ivyDsd.c ==========================================================*/
+extern int Ivy_TruthDsd( unsigned uTruth, Vec_Int_t * vTree );
+extern void Ivy_TruthDsdPrint( FILE * pFile, Vec_Int_t * vTree );
+extern unsigned Ivy_TruthDsdCompute( Vec_Int_t * vTree );
+extern void Ivy_TruthDsdComputePrint( unsigned uTruth );
+extern Ivy_Obj_t * Ivy_ManDsdConstruct( Ivy_Man_t * p, Vec_Int_t * vFront, Vec_Int_t * vTree );
+/*=== ivyFanout.c ==========================================================*/
+extern void Ivy_ManStartFanout( Ivy_Man_t * p );
+extern void Ivy_ManStopFanout( Ivy_Man_t * p );
+extern void Ivy_ObjAddFanout( Ivy_Man_t * p, Ivy_Obj_t * pObj, Ivy_Obj_t * pFanout );
+extern void Ivy_ObjDeleteFanout( Ivy_Man_t * p, Ivy_Obj_t * pObj, Ivy_Obj_t * pFanout );
+extern void Ivy_ObjPatchFanout( Ivy_Man_t * p, Ivy_Obj_t * pObj, Ivy_Obj_t * pFanoutOld, Ivy_Obj_t * pFanoutNew );
+extern void Ivy_ObjCollectFanouts( Ivy_Man_t * p, Ivy_Obj_t * pObj, Vec_Ptr_t * vArray );
+extern Ivy_Obj_t * Ivy_ObjReadFirstFanout( Ivy_Man_t * p, Ivy_Obj_t * pObj );
+extern int Ivy_ObjFanoutNum( Ivy_Man_t * p, Ivy_Obj_t * pObj );
+/*=== ivyFastMap.c =============================================================*/
+extern void Ivy_FastMapPerform( Ivy_Man_t * pAig, int nLimit, int fRecovery, int fVerbose );
+extern void Ivy_FastMapStop( Ivy_Man_t * pAig );
+extern void Ivy_FastMapReadSupp( Ivy_Man_t * pAig, Ivy_Obj_t * pObj, Vec_Int_t * vLeaves );
+extern void Ivy_FastMapReverseLevel( Ivy_Man_t * pAig );
+/*=== ivyFraig.c ==========================================================*/
+extern int Ivy_FraigProve( Ivy_Man_t ** ppManAig, void * pPars );
+extern Ivy_Man_t * Ivy_FraigPerform( Ivy_Man_t * pManAig, Ivy_FraigParams_t * pParams );
+extern Ivy_Man_t * Ivy_FraigMiter( Ivy_Man_t * pManAig, Ivy_FraigParams_t * pParams );
+extern void Ivy_FraigParamsDefault( Ivy_FraigParams_t * pParams );
+/*=== ivyHaig.c ==========================================================*/
+extern void Ivy_ManHaigStart( Ivy_Man_t * p, int fVerbose );
+extern void Ivy_ManHaigTrasfer( Ivy_Man_t * p, Ivy_Man_t * pNew );
+extern void Ivy_ManHaigStop( Ivy_Man_t * p );
+extern void Ivy_ManHaigPostprocess( Ivy_Man_t * p, int fVerbose );
+extern void Ivy_ManHaigCreateObj( Ivy_Man_t * p, Ivy_Obj_t * pObj );
+extern void Ivy_ManHaigCreateChoice( Ivy_Man_t * p, Ivy_Obj_t * pObjOld, Ivy_Obj_t * pObjNew );
+extern void Ivy_ManHaigSimulate( Ivy_Man_t * p );
+/*=== ivyMan.c ==========================================================*/
+extern Ivy_Man_t * Ivy_ManStart();
+extern Ivy_Man_t * Ivy_ManStartFrom( Ivy_Man_t * p );
+extern Ivy_Man_t * Ivy_ManDup( Ivy_Man_t * p );
+extern Ivy_Man_t * Ivy_ManFrames( Ivy_Man_t * pMan, int nLatches, int nFrames, int fInit, Vec_Ptr_t ** pvMapping );
+extern void Ivy_ManStop( Ivy_Man_t * p );
+extern int Ivy_ManCleanup( Ivy_Man_t * p );
+extern int Ivy_ManPropagateBuffers( Ivy_Man_t * p, int fUpdateLevel );
+extern void Ivy_ManPrintStats( Ivy_Man_t * p );
+extern void Ivy_ManMakeSeq( Ivy_Man_t * p, int nLatches, int * pInits );
+/*=== ivyMem.c ==========================================================*/
+extern void Ivy_ManStartMemory( Ivy_Man_t * p );
+extern void Ivy_ManStopMemory( Ivy_Man_t * p );
+/*=== ivyMulti.c ==========================================================*/
+extern Ivy_Obj_t * Ivy_Multi( Ivy_Man_t * p, Ivy_Obj_t ** pArgs, int nArgs, Ivy_Type_t Type );
+extern Ivy_Obj_t * Ivy_Multi1( Ivy_Man_t * p, Ivy_Obj_t ** pArgs, int nArgs, Ivy_Type_t Type );
+extern Ivy_Obj_t * Ivy_Multi_rec( Ivy_Man_t * p, Ivy_Obj_t ** ppObjs, int nObjs, Ivy_Type_t Type );
+extern Ivy_Obj_t * Ivy_MultiBalance_rec( Ivy_Man_t * p, Ivy_Obj_t ** pArgs, int nArgs, Ivy_Type_t Type );
+extern int Ivy_MultiPlus( Ivy_Man_t * p, Vec_Ptr_t * vLeaves, Vec_Ptr_t * vCone, Ivy_Type_t Type, int nLimit, Vec_Ptr_t * vSol );
+/*=== ivyObj.c ==========================================================*/
+extern Ivy_Obj_t * Ivy_ObjCreatePi( Ivy_Man_t * p );
+extern Ivy_Obj_t * Ivy_ObjCreatePo( Ivy_Man_t * p, Ivy_Obj_t * pDriver );
+extern Ivy_Obj_t * Ivy_ObjCreate( Ivy_Man_t * p, Ivy_Obj_t * pGhost );
+extern void Ivy_ObjConnect( Ivy_Man_t * p, Ivy_Obj_t * pObj, Ivy_Obj_t * pFan0, Ivy_Obj_t * pFan1 );
+extern void Ivy_ObjDisconnect( Ivy_Man_t * p, Ivy_Obj_t * pObj );
+extern void Ivy_ObjPatchFanin0( Ivy_Man_t * p, Ivy_Obj_t * pObj, Ivy_Obj_t * pFaninNew );
+extern void Ivy_ObjDelete( Ivy_Man_t * p, Ivy_Obj_t * pObj, int fFreeTop );
+extern void Ivy_ObjDelete_rec( Ivy_Man_t * p, Ivy_Obj_t * pObj, int fFreeTop );
+extern void Ivy_ObjReplace( Ivy_Man_t * p, Ivy_Obj_t * pObjOld, Ivy_Obj_t * pObjNew, int fDeleteOld, int fFreeTop, int fUpdateLevel );
+extern void Ivy_NodeFixBufferFanins( Ivy_Man_t * p, Ivy_Obj_t * pNode, int fUpdateLevel );
+/*=== ivyOper.c =========================================================*/
+extern Ivy_Obj_t * Ivy_Oper( Ivy_Man_t * p, Ivy_Obj_t * p0, Ivy_Obj_t * p1, Ivy_Type_t Type );
+extern Ivy_Obj_t * Ivy_And( Ivy_Man_t * p, Ivy_Obj_t * p0, Ivy_Obj_t * p1 );
+extern Ivy_Obj_t * Ivy_Or( Ivy_Man_t * p, Ivy_Obj_t * p0, Ivy_Obj_t * p1 );
+extern Ivy_Obj_t * Ivy_Exor( Ivy_Man_t * p, Ivy_Obj_t * p0, Ivy_Obj_t * p1 );
+extern Ivy_Obj_t * Ivy_Mux( Ivy_Man_t * p, Ivy_Obj_t * pC, Ivy_Obj_t * p1, Ivy_Obj_t * p0 );
+extern Ivy_Obj_t * Ivy_Maj( Ivy_Man_t * p, Ivy_Obj_t * pA, Ivy_Obj_t * pB, Ivy_Obj_t * pC );
+extern Ivy_Obj_t * Ivy_Miter( Ivy_Man_t * p, Vec_Ptr_t * vPairs );
+extern Ivy_Obj_t * Ivy_Latch( Ivy_Man_t * p, Ivy_Obj_t * pObj, Ivy_Init_t Init );
+/*=== ivyResyn.c =========================================================*/
+extern Ivy_Man_t * Ivy_ManResyn0( Ivy_Man_t * p, int fUpdateLevel, int fVerbose );
+extern Ivy_Man_t * Ivy_ManResyn( Ivy_Man_t * p, int fUpdateLevel, int fVerbose );
+extern Ivy_Man_t * Ivy_ManRwsat( Ivy_Man_t * pMan, int fVerbose );
+/*=== ivyRewrite.c =========================================================*/
+extern int Ivy_ManSeqRewrite( Ivy_Man_t * p, int fUpdateLevel, int fUseZeroCost );
+extern int Ivy_ManRewriteAlg( Ivy_Man_t * p, int fUpdateLevel, int fUseZeroCost );
+extern int Ivy_ManRewritePre( Ivy_Man_t * p, int fUpdateLevel, int fUseZeroCost, int fVerbose );
+/*=== ivySeq.c =========================================================*/
+extern int Ivy_ManRewriteSeq( Ivy_Man_t * p, int fUseZeroCost, int fVerbose );
+/*=== ivyShow.c =========================================================*/
+extern void Ivy_ManShow( Ivy_Man_t * pMan, int fHaig, Vec_Ptr_t * vBold );
+/*=== ivyTable.c ========================================================*/
+extern Ivy_Obj_t * Ivy_TableLookup( Ivy_Man_t * p, Ivy_Obj_t * pObj );
+extern void Ivy_TableInsert( Ivy_Man_t * p, Ivy_Obj_t * pObj );
+extern void Ivy_TableDelete( Ivy_Man_t * p, Ivy_Obj_t * pObj );
+extern void Ivy_TableUpdate( Ivy_Man_t * p, Ivy_Obj_t * pObj, int ObjIdNew );
+extern int Ivy_TableCountEntries( Ivy_Man_t * p );
+extern void Ivy_TableProfile( Ivy_Man_t * p );
+/*=== ivyUtil.c =========================================================*/
+extern void Ivy_ManIncrementTravId( Ivy_Man_t * p );
+extern void Ivy_ManCleanTravId( Ivy_Man_t * p );
+extern unsigned * Ivy_ManCutTruth( Ivy_Man_t * p, Ivy_Obj_t * pRoot, Vec_Int_t * vLeaves, Vec_Int_t * vNodes, Vec_Int_t * vTruth );
+extern void Ivy_ManCollectCut( Ivy_Man_t * p, Ivy_Obj_t * pRoot, Vec_Int_t * vLeaves, Vec_Int_t * vNodes );
+extern Vec_Int_t * Ivy_ManLatches( Ivy_Man_t * p );
+extern int Ivy_ManLevels( Ivy_Man_t * p );
+extern void Ivy_ManResetLevels( Ivy_Man_t * p );
+extern int Ivy_ObjMffcLabel( Ivy_Man_t * p, Ivy_Obj_t * pObj );
+extern void Ivy_ObjUpdateLevel_rec( Ivy_Man_t * p, Ivy_Obj_t * pObj );
+extern void Ivy_ObjUpdateLevelR_rec( Ivy_Man_t * p, Ivy_Obj_t * pObj, int ReqNew );
+extern int Ivy_ObjIsMuxType( Ivy_Obj_t * pObj );
+extern Ivy_Obj_t * Ivy_ObjRecognizeMux( Ivy_Obj_t * pObj, Ivy_Obj_t ** ppObjT, Ivy_Obj_t ** ppObjE );
+extern Ivy_Obj_t * Ivy_ObjReal( Ivy_Obj_t * pObj );
+extern void Ivy_ObjPrintVerbose( Ivy_Man_t * p, Ivy_Obj_t * pObj, int fHaig );
+extern void Ivy_ManPrintVerbose( Ivy_Man_t * p, int fHaig );
+extern int Ivy_CutTruthPrint( Ivy_Man_t * p, Ivy_Cut_t * pCut, unsigned uTruth );
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
diff --git a/src/aig/ivy/ivyBalance.c b/src/aig/ivy/ivyBalance.c
new file mode 100644
index 00000000..5627039a
--- /dev/null
+++ b/src/aig/ivy/ivyBalance.c
@@ -0,0 +1,404 @@
+/**CFile****************************************************************
+
+ FileName [ivyBalance.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [And-Inverter Graph package.]
+
+ Synopsis [Algebraic AIG balancing.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - May 11, 2006.]
+
+ Revision [$Id: ivyBalance.c,v 1.00 2006/05/11 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "ivy.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+static int Ivy_NodeBalance_rec( Ivy_Man_t * pNew, Ivy_Obj_t * pObj, Vec_Vec_t * vStore, int Level, int fUpdateLevel );
+static Vec_Ptr_t * Ivy_NodeBalanceCone( Ivy_Obj_t * pObj, Vec_Vec_t * vStore, int Level );
+static int Ivy_NodeBalanceFindLeft( Vec_Ptr_t * vSuper );
+static void Ivy_NodeBalancePermute( Ivy_Man_t * p, Vec_Ptr_t * vSuper, int LeftBound, int fExor );
+static void Ivy_NodeBalancePushUniqueOrderByLevel( Vec_Ptr_t * vStore, Ivy_Obj_t * pObj );
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Performs algebraic balancing of the AIG.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Man_t * Ivy_ManBalance( Ivy_Man_t * p, int fUpdateLevel )
+{
+ Ivy_Man_t * pNew;
+ Ivy_Obj_t * pObj, * pDriver;
+ Vec_Vec_t * vStore;
+ int i, NewNodeId;
+ // clean the old manager
+ Ivy_ManCleanTravId( p );
+ // create the new manager
+ pNew = Ivy_ManStart();
+ // map the nodes
+ Ivy_ManConst1(p)->TravId = Ivy_EdgeFromNode( Ivy_ManConst1(pNew) );
+ Ivy_ManForEachPi( p, pObj, i )
+ pObj->TravId = Ivy_EdgeFromNode( Ivy_ObjCreatePi(pNew) );
+ // if HAIG is defined, trasfer the pointers to the PIs/latches
+// if ( p->pHaig )
+// Ivy_ManHaigTrasfer( p, pNew );
+ // balance the AIG
+ vStore = Vec_VecAlloc( 50 );
+ Ivy_ManForEachPo( p, pObj, i )
+ {
+ pDriver = Ivy_ObjReal( Ivy_ObjChild0(pObj) );
+ NewNodeId = Ivy_NodeBalance_rec( pNew, Ivy_Regular(pDriver), vStore, 0, fUpdateLevel );
+ NewNodeId = Ivy_EdgeNotCond( NewNodeId, Ivy_IsComplement(pDriver) );
+ Ivy_ObjCreatePo( pNew, Ivy_EdgeToNode(pNew, NewNodeId) );
+ }
+ Vec_VecFree( vStore );
+ if ( i = Ivy_ManCleanup( pNew ) )
+ {
+// printf( "Cleanup after balancing removed %d dangling nodes.\n", i );
+ }
+ // check the resulting AIG
+ if ( !Ivy_ManCheck(pNew) )
+ printf( "Ivy_ManBalance(): The check has failed.\n" );
+ return pNew;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Procedure used for sorting the nodes in decreasing order of levels.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_NodeCompareLevelsDecrease( Ivy_Obj_t ** pp1, Ivy_Obj_t ** pp2 )
+{
+ int Diff = Ivy_Regular(*pp1)->Level - Ivy_Regular(*pp2)->Level;
+ if ( Diff > 0 )
+ return -1;
+ if ( Diff < 0 )
+ return 1;
+ return 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns the ID of new node constructed.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_NodeBalance_rec( Ivy_Man_t * pNew, Ivy_Obj_t * pObjOld, Vec_Vec_t * vStore, int Level, int fUpdateLevel )
+{
+ Ivy_Obj_t * pObjNew;
+ Vec_Ptr_t * vSuper;
+ int i, NewNodeId;
+ assert( !Ivy_IsComplement(pObjOld) );
+ assert( !Ivy_ObjIsBuf(pObjOld) );
+ // return if the result is known
+ if ( Ivy_ObjIsConst1(pObjOld) )
+ return pObjOld->TravId;
+ if ( pObjOld->TravId )
+ return pObjOld->TravId;
+ assert( Ivy_ObjIsNode(pObjOld) );
+ // get the implication supergate
+ vSuper = Ivy_NodeBalanceCone( pObjOld, vStore, Level );
+ if ( vSuper->nSize == 0 )
+ { // it means that the supergate contains two nodes in the opposite polarity
+ pObjOld->TravId = Ivy_EdgeFromNode( Ivy_ManConst0(pNew) );
+ return pObjOld->TravId;
+ }
+ if ( vSuper->nSize < 2 )
+ printf( "BUG!\n" );
+ // for each old node, derive the new well-balanced node
+ for ( i = 0; i < vSuper->nSize; i++ )
+ {
+ NewNodeId = Ivy_NodeBalance_rec( pNew, Ivy_Regular(vSuper->pArray[i]), vStore, Level + 1, fUpdateLevel );
+ NewNodeId = Ivy_EdgeNotCond( NewNodeId, Ivy_IsComplement(vSuper->pArray[i]) );
+ vSuper->pArray[i] = Ivy_EdgeToNode( pNew, NewNodeId );
+ }
+ // build the supergate
+ pObjNew = Ivy_NodeBalanceBuildSuper( pNew, vSuper, Ivy_ObjType(pObjOld), fUpdateLevel );
+ vSuper->nSize = 0;
+ // make sure the balanced node is not assigned
+ assert( pObjOld->TravId == 0 );
+ pObjOld->TravId = Ivy_EdgeFromNode( pObjNew );
+// assert( pObjOld->Level >= Ivy_Regular(pObjNew)->Level );
+ return pObjOld->TravId;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Builds implication supergate.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Obj_t * Ivy_NodeBalanceBuildSuper( Ivy_Man_t * p, Vec_Ptr_t * vSuper, Ivy_Type_t Type, int fUpdateLevel )
+{
+ Ivy_Obj_t * pObj1, * pObj2;
+ int LeftBound;
+ assert( vSuper->nSize > 1 );
+ // sort the new nodes by level in the decreasing order
+ Vec_PtrSort( vSuper, Ivy_NodeCompareLevelsDecrease );
+ // balance the nodes
+ while ( vSuper->nSize > 1 )
+ {
+ // find the left bound on the node to be paired
+ LeftBound = (!fUpdateLevel)? 0 : Ivy_NodeBalanceFindLeft( vSuper );
+ // find the node that can be shared (if no such node, randomize choice)
+ Ivy_NodeBalancePermute( p, vSuper, LeftBound, Type == IVY_EXOR );
+ // pull out the last two nodes
+ pObj1 = Vec_PtrPop(vSuper);
+ pObj2 = Vec_PtrPop(vSuper);
+ Ivy_NodeBalancePushUniqueOrderByLevel( vSuper, Ivy_Oper(p, pObj1, pObj2, Type) );
+ }
+ return Vec_PtrEntry(vSuper, 0);
+}
+
+/**Function*************************************************************
+
+ Synopsis [Collects the nodes of the supergate.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_NodeBalanceCone_rec( Ivy_Obj_t * pRoot, Ivy_Obj_t * pObj, Vec_Ptr_t * vSuper )
+{
+ int RetValue1, RetValue2, i;
+ // check if the node is visited
+ if ( Ivy_Regular(pObj)->fMarkB )
+ {
+ // check if the node occurs in the same polarity
+ for ( i = 0; i < vSuper->nSize; i++ )
+ if ( vSuper->pArray[i] == pObj )
+ return 1;
+ // check if the node is present in the opposite polarity
+ for ( i = 0; i < vSuper->nSize; i++ )
+ if ( vSuper->pArray[i] == Ivy_Not(pObj) )
+ return -1;
+ assert( 0 );
+ return 0;
+ }
+ // if the new node is complemented or a PI, another gate begins
+ if ( pObj != pRoot && (Ivy_IsComplement(pObj) || Ivy_ObjType(pObj) != Ivy_ObjType(pRoot) || Ivy_ObjRefs(pObj) > 1) )
+ {
+ Vec_PtrPush( vSuper, pObj );
+ Ivy_Regular(pObj)->fMarkB = 1;
+ return 0;
+ }
+ assert( !Ivy_IsComplement(pObj) );
+ assert( Ivy_ObjIsNode(pObj) );
+ // go through the branches
+ RetValue1 = Ivy_NodeBalanceCone_rec( pRoot, Ivy_ObjReal( Ivy_ObjChild0(pObj) ), vSuper );
+ RetValue2 = Ivy_NodeBalanceCone_rec( pRoot, Ivy_ObjReal( Ivy_ObjChild1(pObj) ), vSuper );
+ if ( RetValue1 == -1 || RetValue2 == -1 )
+ return -1;
+ // return 1 if at least one branch has a duplicate
+ return RetValue1 || RetValue2;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Collects the nodes of the supergate.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Vec_Ptr_t * Ivy_NodeBalanceCone( Ivy_Obj_t * pObj, Vec_Vec_t * vStore, int Level )
+{
+ Vec_Ptr_t * vNodes;
+ int RetValue, i;
+ assert( !Ivy_IsComplement(pObj) );
+ // extend the storage
+ if ( Vec_VecSize( vStore ) <= Level )
+ Vec_VecPush( vStore, Level, 0 );
+ // get the temporary array of nodes
+ vNodes = Vec_VecEntry( vStore, Level );
+ Vec_PtrClear( vNodes );
+ // collect the nodes in the implication supergate
+ RetValue = Ivy_NodeBalanceCone_rec( pObj, pObj, vNodes );
+ assert( vNodes->nSize > 1 );
+ // unmark the visited nodes
+ Vec_PtrForEachEntry( vNodes, pObj, i )
+ Ivy_Regular(pObj)->fMarkB = 0;
+ // if we found the node and its complement in the same implication supergate,
+ // return empty set of nodes (meaning that we should use constant-0 node)
+ if ( RetValue == -1 )
+ vNodes->nSize = 0;
+ return vNodes;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Finds the left bound on the next candidate to be paired.]
+
+ Description [The nodes in the array are in the decreasing order of levels.
+ The last node in the array has the smallest level. By default it would be paired
+ with the next node on the left. However, it may be possible to pair it with some
+ other node on the left, in such a way that the new node is shared. This procedure
+ finds the index of the left-most node, which can be paired with the last node.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_NodeBalanceFindLeft( Vec_Ptr_t * vSuper )
+{
+ Ivy_Obj_t * pObjRight, * pObjLeft;
+ int Current;
+ // if two or less nodes, pair with the first
+ if ( Vec_PtrSize(vSuper) < 3 )
+ return 0;
+ // set the pointer to the one before the last
+ Current = Vec_PtrSize(vSuper) - 2;
+ pObjRight = Vec_PtrEntry( vSuper, Current );
+ // go through the nodes to the left of this one
+ for ( Current--; Current >= 0; Current-- )
+ {
+ // get the next node on the left
+ pObjLeft = Vec_PtrEntry( vSuper, Current );
+ // if the level of this node is different, quit the loop
+ if ( Ivy_Regular(pObjLeft)->Level != Ivy_Regular(pObjRight)->Level )
+ break;
+ }
+ Current++;
+ // get the node, for which the equality holds
+ pObjLeft = Vec_PtrEntry( vSuper, Current );
+ assert( Ivy_Regular(pObjLeft)->Level == Ivy_Regular(pObjRight)->Level );
+ return Current;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Moves closer to the end the node that is best for sharing.]
+
+ Description [If there is no node with sharing, randomly chooses one of
+ the legal nodes.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_NodeBalancePermute( Ivy_Man_t * p, Vec_Ptr_t * vSuper, int LeftBound, int fExor )
+{
+ Ivy_Obj_t * pObj1, * pObj2, * pObj3, * pGhost;
+ int RightBound, i;
+ // get the right bound
+ RightBound = Vec_PtrSize(vSuper) - 2;
+ assert( LeftBound <= RightBound );
+ if ( LeftBound == RightBound )
+ return;
+ // get the two last nodes
+ pObj1 = Vec_PtrEntry( vSuper, RightBound + 1 );
+ pObj2 = Vec_PtrEntry( vSuper, RightBound );
+ if ( Ivy_Regular(pObj1) == p->pConst1 || Ivy_Regular(pObj2) == p->pConst1 )
+ return;
+ // find the first node that can be shared
+ for ( i = RightBound; i >= LeftBound; i-- )
+ {
+ pObj3 = Vec_PtrEntry( vSuper, i );
+ if ( Ivy_Regular(pObj3) == p->pConst1 )
+ {
+ Vec_PtrWriteEntry( vSuper, i, pObj2 );
+ Vec_PtrWriteEntry( vSuper, RightBound, pObj3 );
+ return;
+ }
+ pGhost = Ivy_ObjCreateGhost( p, pObj1, pObj3, fExor? IVY_EXOR : IVY_AND, IVY_INIT_NONE );
+ if ( Ivy_TableLookup( p, pGhost ) )
+ {
+ if ( pObj3 == pObj2 )
+ return;
+ Vec_PtrWriteEntry( vSuper, i, pObj2 );
+ Vec_PtrWriteEntry( vSuper, RightBound, pObj3 );
+ return;
+ }
+ }
+/*
+ // we did not find the node to share, randomize choice
+ {
+ int Choice = rand() % (RightBound - LeftBound + 1);
+ pObj3 = Vec_PtrEntry( vSuper, LeftBound + Choice );
+ if ( pObj3 == pObj2 )
+ return;
+ Vec_PtrWriteEntry( vSuper, LeftBound + Choice, pObj2 );
+ Vec_PtrWriteEntry( vSuper, RightBound, pObj3 );
+ }
+*/
+}
+
+/**Function*************************************************************
+
+ Synopsis [Inserts a new node in the order by levels.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_NodeBalancePushUniqueOrderByLevel( Vec_Ptr_t * vStore, Ivy_Obj_t * pObj )
+{
+ Ivy_Obj_t * pObj1, * pObj2;
+ int i;
+ if ( Vec_PtrPushUnique(vStore, pObj) )
+ return;
+ // find the p of the node
+ for ( i = vStore->nSize-1; i > 0; i-- )
+ {
+ pObj1 = vStore->pArray[i ];
+ pObj2 = vStore->pArray[i-1];
+ if ( Ivy_Regular(pObj1)->Level <= Ivy_Regular(pObj2)->Level )
+ break;
+ vStore->pArray[i ] = pObj2;
+ vStore->pArray[i-1] = pObj1;
+ }
+}
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/ivy/ivyCanon.c b/src/aig/ivy/ivyCanon.c
new file mode 100644
index 00000000..5768b87e
--- /dev/null
+++ b/src/aig/ivy/ivyCanon.c
@@ -0,0 +1,144 @@
+/**CFile****************************************************************
+
+ FileName [ivyCanon.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [And-Inverter Graph package.]
+
+ Synopsis [Finding canonical form of objects.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - May 11, 2006.]
+
+ Revision [$Id: ivyCanon.c,v 1.00 2006/05/11 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "ivy.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+static Ivy_Obj_t * Ivy_TableLookupPair_rec( Ivy_Man_t * p, Ivy_Obj_t * pObj0, Ivy_Obj_t * pObj1, int fCompl0, int fCompl1, Ivy_Type_t Type );
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Creates the canonical form of the node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Obj_t * Ivy_CanonPair_rec( Ivy_Man_t * p, Ivy_Obj_t * pGhost )
+{
+ Ivy_Obj_t * pResult, * pLat0, * pLat1;
+ Ivy_Init_t Init, Init0, Init1;
+ int fCompl0, fCompl1;
+ Ivy_Type_t Type;
+ assert( Ivy_ObjIsNode(pGhost) );
+ assert( Ivy_ObjIsAnd(pGhost) || (!Ivy_ObjFaninC0(pGhost) && !Ivy_ObjFaninC1(pGhost)) );
+ assert( Ivy_ObjFaninId0(pGhost) != 0 && Ivy_ObjFaninId1(pGhost) != 0 );
+ // consider the case when the pair is canonical
+ if ( !Ivy_ObjIsLatch(Ivy_ObjFanin0(pGhost)) || !Ivy_ObjIsLatch(Ivy_ObjFanin1(pGhost)) )
+ {
+ if ( pResult = Ivy_TableLookup( p, pGhost ) )
+ return pResult;
+ return Ivy_ObjCreate( p, pGhost );
+ }
+ /// remember the latches
+ pLat0 = Ivy_ObjFanin0(pGhost);
+ pLat1 = Ivy_ObjFanin1(pGhost);
+ // remember type and compls
+ Type = Ivy_ObjType(pGhost);
+ fCompl0 = Ivy_ObjFaninC0(pGhost);
+ fCompl1 = Ivy_ObjFaninC1(pGhost);
+ // call recursively
+ pResult = Ivy_Oper( p, Ivy_NotCond(Ivy_ObjFanin0(pLat0), fCompl0), Ivy_NotCond(Ivy_ObjFanin0(pLat1), fCompl1), Type );
+ // build latch on top of this
+ Init0 = Ivy_InitNotCond( Ivy_ObjInit(pLat0), fCompl0 );
+ Init1 = Ivy_InitNotCond( Ivy_ObjInit(pLat1), fCompl1 );
+ Init = (Type == IVY_AND)? Ivy_InitAnd(Init0, Init1) : Ivy_InitExor(Init0, Init1);
+ return Ivy_Latch( p, pResult, Init );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates the canonical form of the node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Obj_t * Ivy_CanonAnd( Ivy_Man_t * p, Ivy_Obj_t * pObj0, Ivy_Obj_t * pObj1 )
+{
+ Ivy_Obj_t * pGhost, * pResult;
+ pGhost = Ivy_ObjCreateGhost( p, pObj0, pObj1, IVY_AND, IVY_INIT_NONE );
+ pResult = Ivy_CanonPair_rec( p, pGhost );
+ return pResult;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates the canonical form of the node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Obj_t * Ivy_CanonExor( Ivy_Man_t * p, Ivy_Obj_t * pObj0, Ivy_Obj_t * pObj1 )
+{
+ Ivy_Obj_t * pGhost, * pResult;
+ int fCompl = Ivy_IsComplement(pObj0) ^ Ivy_IsComplement(pObj1);
+ pObj0 = Ivy_Regular(pObj0);
+ pObj1 = Ivy_Regular(pObj1);
+ pGhost = Ivy_ObjCreateGhost( p, pObj0, pObj1, IVY_EXOR, IVY_INIT_NONE );
+ pResult = Ivy_CanonPair_rec( p, pGhost );
+ return Ivy_NotCond( pResult, fCompl );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates the canonical form of the node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Obj_t * Ivy_CanonLatch( Ivy_Man_t * p, Ivy_Obj_t * pObj, Ivy_Init_t Init )
+{
+ Ivy_Obj_t * pGhost, * pResult;
+ int fCompl = Ivy_IsComplement(pObj);
+ pObj = Ivy_Regular(pObj);
+ pGhost = Ivy_ObjCreateGhost( p, pObj, NULL, IVY_LATCH, Ivy_InitNotCond(Init, fCompl) );
+ pResult = Ivy_TableLookup( p, pGhost );
+ if ( pResult == NULL )
+ pResult = Ivy_ObjCreate( p, pGhost );
+ return Ivy_NotCond( pResult, fCompl );
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/ivy/ivyCheck.c b/src/aig/ivy/ivyCheck.c
new file mode 100644
index 00000000..55448f19
--- /dev/null
+++ b/src/aig/ivy/ivyCheck.c
@@ -0,0 +1,273 @@
+/**CFile****************************************************************
+
+ FileName [ivyCheck.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [And-Inverter Graph package.]
+
+ Synopsis [AIG checking procedures.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - May 11, 2006.]
+
+ Revision [$Id: ivyCheck.c,v 1.00 2006/05/11 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "ivy.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Checks the consistency of the AIG manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_ManCheck( Ivy_Man_t * p )
+{
+ Ivy_Obj_t * pObj, * pObj2;
+ int i;
+ Ivy_ManForEachObj( p, pObj, i )
+ {
+ // skip deleted nodes
+ if ( Ivy_ObjId(pObj) != i )
+ {
+ printf( "Ivy_ManCheck: Node with ID %d is listed as number %d in the array of objects.\n", pObj->Id, i );
+ return 0;
+ }
+ // consider the constant node and PIs
+ if ( i == 0 || Ivy_ObjIsPi(pObj) )
+ {
+ if ( Ivy_ObjFaninId0(pObj) || Ivy_ObjFaninId1(pObj) || Ivy_ObjLevel(pObj) )
+ {
+ printf( "Ivy_ManCheck: The AIG has non-standard constant or PI node with ID \"%d\".\n", pObj->Id );
+ return 0;
+ }
+ continue;
+ }
+ if ( Ivy_ObjIsPo(pObj) )
+ {
+ if ( Ivy_ObjFaninId1(pObj) )
+ {
+ printf( "Ivy_ManCheck: The AIG has non-standard PO node with ID \"%d\".\n", pObj->Id );
+ return 0;
+ }
+ continue;
+ }
+ if ( Ivy_ObjIsBuf(pObj) )
+ {
+ if ( Ivy_ObjFanin1(pObj) )
+ {
+ printf( "Ivy_ManCheck: The buffer with ID \"%d\" contains second fanin.\n", pObj->Id );
+ return 0;
+ }
+ continue;
+ }
+ if ( Ivy_ObjIsLatch(pObj) )
+ {
+ if ( Ivy_ObjFanin1(pObj) )
+ {
+ printf( "Ivy_ManCheck: The latch with ID \"%d\" contains second fanin.\n", pObj->Id );
+ return 0;
+ }
+ if ( Ivy_ObjInit(pObj) == IVY_INIT_NONE )
+ {
+ printf( "Ivy_ManCheck: The latch with ID \"%d\" does not have initial state.\n", pObj->Id );
+ return 0;
+ }
+ pObj2 = Ivy_TableLookup( p, pObj );
+ if ( pObj2 != pObj )
+ printf( "Ivy_ManCheck: Latch with ID \"%d\" is not in the structural hashing table.\n", pObj->Id );
+ continue;
+ }
+ // consider the AND node
+ if ( !Ivy_ObjFanin0(pObj) || !Ivy_ObjFanin1(pObj) )
+ {
+ printf( "Ivy_ManCheck: The AIG has internal node \"%d\" with a NULL fanin.\n", pObj->Id );
+ return 0;
+ }
+ if ( Ivy_ObjFaninId0(pObj) >= Ivy_ObjFaninId1(pObj) )
+ {
+ printf( "Ivy_ManCheck: The AIG has node \"%d\" with a wrong ordering of fanins.\n", pObj->Id );
+ return 0;
+ }
+ if ( Ivy_ObjLevel(pObj) != Ivy_ObjLevelNew(pObj) )
+ printf( "Ivy_ManCheck: Node with ID \"%d\" has level %d but should have level %d.\n", pObj->Id, Ivy_ObjLevel(pObj), Ivy_ObjLevelNew(pObj) );
+ pObj2 = Ivy_TableLookup( p, pObj );
+ if ( pObj2 != pObj )
+ printf( "Ivy_ManCheck: Node with ID \"%d\" is not in the structural hashing table.\n", pObj->Id );
+ if ( Ivy_ObjRefs(pObj) == 0 )
+ printf( "Ivy_ManCheck: Node with ID \"%d\" has no fanouts.\n", pObj->Id );
+ // check fanouts
+ if ( p->fFanout && Ivy_ObjRefs(pObj) != Ivy_ObjFanoutNum(p, pObj) )
+ printf( "Ivy_ManCheck: Node with ID \"%d\" has mismatch between the number of fanouts and refs.\n", pObj->Id );
+ }
+ // count the number of nodes in the table
+ if ( Ivy_TableCountEntries(p) != Ivy_ManAndNum(p) + Ivy_ManExorNum(p) + Ivy_ManLatchNum(p) )
+ {
+ printf( "Ivy_ManCheck: The number of nodes in the structural hashing table is wrong.\n" );
+ return 0;
+ }
+// if ( !Ivy_ManCheckFanouts(p) )
+// return 0;
+ if ( !Ivy_ManIsAcyclic(p) )
+ return 0;
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Verifies the fanouts.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_ManCheckFanoutNums( Ivy_Man_t * p )
+{
+ Ivy_Obj_t * pObj;
+ int i, Counter = 0;
+ Ivy_ManForEachObj( p, pObj, i )
+ if ( Ivy_ObjIsNode(pObj) )
+ Counter += (Ivy_ObjRefs(pObj) == 0);
+ if ( Counter )
+ printf( "Sequential AIG has %d dangling nodes.\n", Counter );
+ return Counter;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Verifies the fanouts.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_ManCheckFanouts( Ivy_Man_t * p )
+{
+ Vec_Ptr_t * vFanouts;
+ Ivy_Obj_t * pObj, * pFanout, * pFanin;
+ int i, k, RetValue = 1;
+ if ( !p->fFanout )
+ return 1;
+ vFanouts = Vec_PtrAlloc( 100 );
+ // make sure every fanin is a fanout
+ Ivy_ManForEachObj( p, pObj, i )
+ {
+ pFanin = Ivy_ObjFanin0(pObj);
+ if ( pFanin == NULL )
+ continue;
+ Ivy_ObjForEachFanout( p, pFanin, vFanouts, pFanout, k )
+ if ( pFanout == pObj )
+ break;
+ if ( k == Vec_PtrSize(vFanouts) )
+ {
+ printf( "Node %d is a fanin of node %d but the fanout is not there.\n", pFanin->Id, pObj->Id );
+ RetValue = 0;
+ }
+
+ pFanin = Ivy_ObjFanin1(pObj);
+ if ( pFanin == NULL )
+ continue;
+ Ivy_ObjForEachFanout( p, pFanin, vFanouts, pFanout, k )
+ if ( pFanout == pObj )
+ break;
+ if ( k == Vec_PtrSize(vFanouts) )
+ {
+ printf( "Node %d is a fanin of node %d but the fanout is not there.\n", pFanin->Id, pObj->Id );
+ RetValue = 0;
+ }
+ // check that the previous fanout has the same fanin
+ if ( pObj->pPrevFan0 )
+ {
+ if ( Ivy_ObjFanin0(pObj->pPrevFan0) != Ivy_ObjFanin0(pObj) &&
+ Ivy_ObjFanin0(pObj->pPrevFan0) != Ivy_ObjFanin1(pObj) &&
+ Ivy_ObjFanin1(pObj->pPrevFan0) != Ivy_ObjFanin0(pObj) &&
+ Ivy_ObjFanin1(pObj->pPrevFan0) != Ivy_ObjFanin1(pObj) )
+ {
+ printf( "Node %d has prev %d without common fanin.\n", pObj->Id, pObj->pPrevFan0->Id );
+ RetValue = 0;
+ }
+ }
+ // check that the previous fanout has the same fanin
+ if ( pObj->pPrevFan1 )
+ {
+ if ( Ivy_ObjFanin0(pObj->pPrevFan1) != Ivy_ObjFanin0(pObj) &&
+ Ivy_ObjFanin0(pObj->pPrevFan1) != Ivy_ObjFanin1(pObj) &&
+ Ivy_ObjFanin1(pObj->pPrevFan1) != Ivy_ObjFanin0(pObj) &&
+ Ivy_ObjFanin1(pObj->pPrevFan1) != Ivy_ObjFanin1(pObj) )
+ {
+ printf( "Node %d has prev %d without common fanin.\n", pObj->Id, pObj->pPrevFan1->Id );
+ RetValue = 0;
+ }
+ }
+ }
+ // make sure every fanout is a fanin
+ Ivy_ManForEachObj( p, pObj, i )
+ {
+ Ivy_ObjForEachFanout( p, pObj, vFanouts, pFanout, k )
+ if ( Ivy_ObjFanin0(pFanout) != pObj && Ivy_ObjFanin1(pFanout) != pObj )
+ {
+ printf( "Node %d is a fanout of node %d but the fanin is not there.\n", pFanout->Id, pObj->Id );
+ RetValue = 0;
+ }
+ }
+ Vec_PtrFree( vFanouts );
+ return RetValue;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Checks that each choice node has exactly one node with fanouts.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_ManCheckChoices( Ivy_Man_t * p )
+{
+ Ivy_Obj_t * pObj, * pTemp;
+ int i;
+ Ivy_ManForEachObj( p->pHaig, pObj, i )
+ {
+ if ( Ivy_ObjRefs(pObj) == 0 )
+ continue;
+ // count the number of nodes in the loop
+ assert( !Ivy_IsComplement(pObj->pEquiv) );
+ for ( pTemp = pObj->pEquiv; pTemp && pTemp != pObj; pTemp = Ivy_Regular(pTemp->pEquiv) )
+ if ( Ivy_ObjRefs(pTemp) > 1 )
+ printf( "Node %d has member %d in its equiv class with %d fanouts.\n", pObj->Id, pTemp->Id, Ivy_ObjRefs(pTemp) );
+ }
+ return 1;
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/ivy/ivyCut.c b/src/aig/ivy/ivyCut.c
new file mode 100644
index 00000000..e257d8a6
--- /dev/null
+++ b/src/aig/ivy/ivyCut.c
@@ -0,0 +1,989 @@
+/**CFile****************************************************************
+
+ FileName [ivyCut.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [And-Inverter Graph package.]
+
+ Synopsis [Computes reconvergence driven sequential cut.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - May 11, 2006.]
+
+ Revision [$Id: ivyCut.c,v 1.00 2006/05/11 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "ivy.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+static inline int Ivy_NodeCutHashValue( int NodeId ) { return 1 << (NodeId % 31); }
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Evaluate the cost of removing the node from the set of leaves.]
+
+ Description [Returns the number of new leaves that will be brought in.
+ Returns large number if the node cannot be removed from the set of leaves.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int Ivy_NodeGetLeafCostOne( Ivy_Man_t * p, int Leaf, Vec_Int_t * vInside )
+{
+ Ivy_Obj_t * pNode;
+ int nLatches, FaninLeaf, Cost;
+ // make sure leaf is not a contant node
+ assert( Leaf > 0 );
+ // get the node
+ pNode = Ivy_ManObj( p, Ivy_LeafId(Leaf) );
+ // cannot expand over the PI node
+ if ( Ivy_ObjIsPi(pNode) || Ivy_ObjIsConst1(pNode) )
+ return 999;
+ // get the number of latches
+ nLatches = Ivy_LeafLat(Leaf) + Ivy_ObjIsLatch(pNode);
+ if ( nLatches > 15 )
+ return 999;
+ // get the first fanin
+ FaninLeaf = Ivy_LeafCreate( Ivy_ObjFaninId0(pNode), nLatches );
+ Cost = FaninLeaf && (Vec_IntFind(vInside, FaninLeaf) == -1);
+ // quit if this is the one fanin node
+ if ( Ivy_ObjIsLatch(pNode) || Ivy_ObjIsBuf(pNode) )
+ return Cost;
+ assert( Ivy_ObjIsNode(pNode) );
+ // get the second fanin
+ FaninLeaf = Ivy_LeafCreate( Ivy_ObjFaninId1(pNode), nLatches );
+ Cost += FaninLeaf && (Vec_IntFind(vInside, FaninLeaf) == -1);
+ return Cost;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Builds reconvergence-driven cut by changing one leaf at a time.]
+
+ Description [This procedure looks at the current leaves and tries to change
+ one leaf at a time in such a way that the cut grows as little as possible.
+ In evaluating the fanins, this procedure looks only at their immediate
+ predecessors (this is why it is called a one-level construction procedure).]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_ManSeqFindCut_int( Ivy_Man_t * p, Vec_Int_t * vFront, Vec_Int_t * vInside, int nSizeLimit )
+{
+ Ivy_Obj_t * pNode;
+ int CostBest, CostCur, Leaf, LeafBest, Next, nLatches, i;
+ int LeavesBest[10];
+ int Counter;
+
+ // add random selection of the best fanin!!!
+
+ // find the best fanin
+ CostBest = 99;
+ LeafBest = -1;
+ Counter = -1;
+//printf( "Evaluating fanins of the cut:\n" );
+ Vec_IntForEachEntry( vFront, Leaf, i )
+ {
+ CostCur = Ivy_NodeGetLeafCostOne( p, Leaf, vInside );
+//printf( " Fanin %s has cost %d.\n", Ivy_ObjName(pNode), CostCur );
+ if ( CostBest > CostCur )
+ {
+ CostBest = CostCur;
+ LeafBest = Leaf;
+ LeavesBest[0] = Leaf;
+ Counter = 1;
+ }
+ else if ( CostBest == CostCur )
+ LeavesBest[Counter++] = Leaf;
+
+ if ( CostBest <= 1 ) // can be if ( CostBest <= 1 )
+ break;
+ }
+ if ( CostBest == 99 )
+ return 0;
+// return Ivy_NodeBuildCutLevelTwo_int( vInside, vFront, nFaninLimit );
+
+ assert( CostBest < 3 );
+ if ( Vec_IntSize(vFront) - 1 + CostBest > nSizeLimit )
+ return 0;
+// return Ivy_NodeBuildCutLevelTwo_int( vInside, vFront, nFaninLimit );
+
+ assert( Counter > 0 );
+printf( "%d", Counter );
+
+ LeafBest = LeavesBest[rand() % Counter];
+
+ // remove the node from the array
+ assert( LeafBest >= 0 );
+ Vec_IntRemove( vFront, LeafBest );
+//printf( "Removing fanin %s.\n", Ivy_ObjName(pNode) );
+
+ // get the node and its latches
+ pNode = Ivy_ManObj( p, Ivy_LeafId(LeafBest) );
+ nLatches = Ivy_LeafLat(LeafBest) + Ivy_ObjIsLatch(pNode);
+ assert( Ivy_ObjIsNode(pNode) || Ivy_ObjIsLatch(pNode) || Ivy_ObjIsBuf(pNode) );
+
+ // add the left child to the fanins
+ Next = Ivy_LeafCreate( Ivy_ObjFaninId0(pNode), nLatches );
+ if ( Next && Vec_IntFind(vInside, Next) == -1 )
+ {
+//printf( "Adding fanin %s.\n", Ivy_ObjName(pNext) );
+ Vec_IntPush( vFront, Next );
+ Vec_IntPush( vInside, Next );
+ }
+
+ // quit if this is the one fanin node
+ if ( Ivy_ObjIsLatch(pNode) || Ivy_ObjIsBuf(pNode) )
+ return 1;
+ assert( Ivy_ObjIsNode(pNode) );
+
+ // add the right child to the fanins
+ Next = Ivy_LeafCreate( Ivy_ObjFaninId1(pNode), nLatches );
+ if ( Next && Vec_IntFind(vInside, Next) == -1 )
+ {
+//printf( "Adding fanin %s.\n", Ivy_ObjName(pNext) );
+ Vec_IntPush( vFront, Next );
+ Vec_IntPush( vInside, Next );
+ }
+ assert( Vec_IntSize(vFront) <= nSizeLimit );
+ // keep doing this
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes one sequential cut of the given size.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_ManSeqFindCut( Ivy_Man_t * p, Ivy_Obj_t * pRoot, Vec_Int_t * vFront, Vec_Int_t * vInside, int nSize )
+{
+ assert( !Ivy_IsComplement(pRoot) );
+ assert( Ivy_ObjIsNode(pRoot) );
+ assert( Ivy_ObjFaninId0(pRoot) );
+ assert( Ivy_ObjFaninId1(pRoot) );
+
+ // start the cut
+ Vec_IntClear( vFront );
+ Vec_IntPush( vFront, Ivy_LeafCreate(Ivy_ObjFaninId0(pRoot), 0) );
+ Vec_IntPush( vFront, Ivy_LeafCreate(Ivy_ObjFaninId1(pRoot), 0) );
+
+ // start the visited nodes
+ Vec_IntClear( vInside );
+ Vec_IntPush( vInside, Ivy_LeafCreate(pRoot->Id, 0) );
+ Vec_IntPush( vInside, Ivy_LeafCreate(Ivy_ObjFaninId0(pRoot), 0) );
+ Vec_IntPush( vInside, Ivy_LeafCreate(Ivy_ObjFaninId1(pRoot), 0) );
+
+ // compute the cut
+ while ( Ivy_ManSeqFindCut_int( p, vFront, vInside, nSize ) );
+ assert( Vec_IntSize(vFront) <= nSize );
+}
+
+
+
+
+
+/**Function*************************************************************
+
+ Synopsis [Computing Boolean cut.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_ManFindBoolCut_rec( Ivy_Man_t * p, Ivy_Obj_t * pObj, Vec_Ptr_t * vLeaves, Vec_Ptr_t * vVolume, Ivy_Obj_t * pPivot )
+{
+ int RetValue0, RetValue1;
+ if ( pObj == pPivot )
+ {
+ Vec_PtrPushUnique( vLeaves, pObj );
+ Vec_PtrPushUnique( vVolume, pObj );
+ return 1;
+ }
+ if ( pObj->fMarkA )
+ return 0;
+
+// assert( !Ivy_ObjIsCi(pObj) );
+ if ( Ivy_ObjIsCi(pObj) )
+ return 0;
+
+ if ( Ivy_ObjIsBuf(pObj) )
+ {
+ RetValue0 = Ivy_ManFindBoolCut_rec( p, Ivy_ObjFanin0(pObj), vLeaves, vVolume, pPivot );
+ if ( !RetValue0 )
+ return 0;
+ Vec_PtrPushUnique( vVolume, pObj );
+ return 1;
+ }
+ assert( Ivy_ObjIsNode(pObj) );
+ RetValue0 = Ivy_ManFindBoolCut_rec( p, Ivy_ObjFanin0(pObj), vLeaves, vVolume, pPivot );
+ RetValue1 = Ivy_ManFindBoolCut_rec( p, Ivy_ObjFanin1(pObj), vLeaves, vVolume, pPivot );
+ if ( !RetValue0 && !RetValue1 )
+ return 0;
+ // add new leaves
+ if ( !RetValue0 )
+ {
+ Vec_PtrPushUnique( vLeaves, Ivy_ObjFanin0(pObj) );
+ Vec_PtrPushUnique( vVolume, Ivy_ObjFanin0(pObj) );
+ }
+ if ( !RetValue1 )
+ {
+ Vec_PtrPushUnique( vLeaves, Ivy_ObjFanin1(pObj) );
+ Vec_PtrPushUnique( vVolume, Ivy_ObjFanin1(pObj) );
+ }
+ Vec_PtrPushUnique( vVolume, pObj );
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns the cost of one node (how many new nodes are added.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_ManFindBoolCutCost( Ivy_Obj_t * pObj )
+{
+ int Cost;
+ // make sure the node is in the construction zone
+ assert( pObj->fMarkA == 1 );
+ // cannot expand over the PI node
+ if ( Ivy_ObjIsCi(pObj) )
+ return 999;
+ // always expand over the buffer
+ if ( Ivy_ObjIsBuf(pObj) )
+ return !Ivy_ObjFanin0(pObj)->fMarkA;
+ // get the cost of the cone
+ Cost = (!Ivy_ObjFanin0(pObj)->fMarkA) + (!Ivy_ObjFanin1(pObj)->fMarkA);
+ // return the number of nodes to be added to the leaves if this node is removed
+ return Cost;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computing Boolean cut.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_ManFindBoolCut( Ivy_Man_t * p, Ivy_Obj_t * pRoot, Vec_Ptr_t * vFront, Vec_Ptr_t * vVolume, Vec_Ptr_t * vLeaves )
+{
+ Ivy_Obj_t * pObj, * pFaninC, * pFanin0, * pFanin1, * pPivot;
+ int RetValue, LevelLimit, Lev, k;
+ assert( !Ivy_IsComplement(pRoot) );
+ // clear the frontier and collect the nodes
+ Vec_PtrClear( vFront );
+ Vec_PtrClear( vVolume );
+ if ( Ivy_ObjIsMuxType(pRoot) )
+ pFaninC = Ivy_ObjRecognizeMux( pRoot, &pFanin0, &pFanin1 );
+ else
+ {
+ pFaninC = NULL;
+ pFanin0 = Ivy_ObjFanin0(pRoot);
+ pFanin1 = Ivy_ObjFanin1(pRoot);
+ }
+ // start cone A
+ pFanin0->fMarkA = 1;
+ Vec_PtrPush( vFront, pFanin0 );
+ Vec_PtrPush( vVolume, pFanin0 );
+ // start cone B
+ pFanin1->fMarkB = 1;
+ Vec_PtrPush( vFront, pFanin1 );
+ Vec_PtrPush( vVolume, pFanin1 );
+ // iteratively expand until the common node (pPivot) is found or limit is reached
+ assert( Ivy_ObjLevel(pRoot) == Ivy_ObjLevelNew(pRoot) );
+ pPivot = NULL;
+ LevelLimit = IVY_MAX( Ivy_ObjLevel(pRoot) - 10, 1 );
+ for ( Lev = Ivy_ObjLevel(pRoot) - 1; Lev >= LevelLimit; Lev-- )
+ {
+ while ( 1 )
+ {
+ // find the next node to expand on this level
+ Vec_PtrForEachEntry( vFront, pObj, k )
+ if ( (int)pObj->Level == Lev )
+ break;
+ if ( k == Vec_PtrSize(vFront) )
+ break;
+ assert( (int)pObj->Level <= Lev );
+ assert( pObj->fMarkA ^ pObj->fMarkB );
+ // remove the old node
+ Vec_PtrRemove( vFront, pObj );
+
+ // expand this node
+ pFanin0 = Ivy_ObjFanin0(pObj);
+ if ( !pFanin0->fMarkA && !pFanin0->fMarkB )
+ {
+ Vec_PtrPush( vFront, pFanin0 );
+ Vec_PtrPush( vVolume, pFanin0 );
+ }
+ // mark the new nodes
+ if ( pObj->fMarkA )
+ pFanin0->fMarkA = 1;
+ if ( pObj->fMarkB )
+ pFanin0->fMarkB = 1;
+
+ if ( Ivy_ObjIsBuf(pObj) )
+ {
+ if ( pFanin0->fMarkA && pFanin0->fMarkB )
+ {
+ pPivot = pFanin0;
+ break;
+ }
+ continue;
+ }
+
+ // expand this node
+ pFanin1 = Ivy_ObjFanin1(pObj);
+ if ( !pFanin1->fMarkA && !pFanin1->fMarkB )
+ {
+ Vec_PtrPush( vFront, pFanin1 );
+ Vec_PtrPush( vVolume, pFanin1 );
+ }
+ // mark the new nodes
+ if ( pObj->fMarkA )
+ pFanin1->fMarkA = 1;
+ if ( pObj->fMarkB )
+ pFanin1->fMarkB = 1;
+
+ // consider if it is time to quit
+ if ( pFanin0->fMarkA && pFanin0->fMarkB )
+ {
+ pPivot = pFanin0;
+ break;
+ }
+ if ( pFanin1->fMarkA && pFanin1->fMarkB )
+ {
+ pPivot = pFanin1;
+ break;
+ }
+ }
+ if ( pPivot != NULL )
+ break;
+ }
+ if ( pPivot == NULL )
+ return 0;
+ // if the MUX control is defined, it should not be
+ if ( pFaninC && !pFaninC->fMarkA && !pFaninC->fMarkB )
+ Vec_PtrPush( vFront, pFaninC );
+ // clean the markings
+ Vec_PtrForEachEntry( vVolume, pObj, k )
+ pObj->fMarkA = pObj->fMarkB = 0;
+
+ // mark the nodes on the frontier (including the pivot)
+ Vec_PtrForEachEntry( vFront, pObj, k )
+ pObj->fMarkA = 1;
+ // cut exists, collect all the nodes on the shortest path to the pivot
+ Vec_PtrClear( vLeaves );
+ Vec_PtrClear( vVolume );
+ RetValue = Ivy_ManFindBoolCut_rec( p, pRoot, vLeaves, vVolume, pPivot );
+ assert( RetValue == 1 );
+ // unmark the nodes on the frontier (including the pivot)
+ Vec_PtrForEachEntry( vFront, pObj, k )
+ pObj->fMarkA = 0;
+
+ // mark the nodes in the volume
+ Vec_PtrForEachEntry( vVolume, pObj, k )
+ pObj->fMarkA = 1;
+ // expand the cut without increasing its size
+ while ( 1 )
+ {
+ Vec_PtrForEachEntry( vLeaves, pObj, k )
+ if ( Ivy_ManFindBoolCutCost(pObj) < 2 )
+ break;
+ if ( k == Vec_PtrSize(vLeaves) )
+ break;
+ // the node can be expanded
+ // remove the old node
+ Vec_PtrRemove( vLeaves, pObj );
+ // expand this node
+ pFanin0 = Ivy_ObjFanin0(pObj);
+ if ( !pFanin0->fMarkA )
+ {
+ pFanin0->fMarkA = 1;
+ Vec_PtrPush( vVolume, pFanin0 );
+ Vec_PtrPush( vLeaves, pFanin0 );
+ }
+ if ( Ivy_ObjIsBuf(pObj) )
+ continue;
+ // expand this node
+ pFanin1 = Ivy_ObjFanin1(pObj);
+ if ( !pFanin1->fMarkA )
+ {
+ pFanin1->fMarkA = 1;
+ Vec_PtrPush( vVolume, pFanin1 );
+ Vec_PtrPush( vLeaves, pFanin1 );
+ }
+ }
+ // unmark the nodes in the volume
+ Vec_PtrForEachEntry( vVolume, pObj, k )
+ pObj->fMarkA = 0;
+ return 1;
+}
+
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_ManTestCutsBool( Ivy_Man_t * p )
+{
+ Vec_Ptr_t * vFront, * vVolume, * vLeaves;
+ Ivy_Obj_t * pObj;//, * pTemp;
+ int i, RetValue;//, k;
+ vFront = Vec_PtrAlloc( 100 );
+ vVolume = Vec_PtrAlloc( 100 );
+ vLeaves = Vec_PtrAlloc( 100 );
+ Ivy_ManForEachObj( p, pObj, i )
+ {
+ if ( !Ivy_ObjIsNode(pObj) )
+ continue;
+ if ( Ivy_ObjIsMuxType(pObj) )
+ {
+ printf( "m" );
+ continue;
+ }
+ if ( Ivy_ObjIsExor(pObj) )
+ printf( "x" );
+ RetValue = Ivy_ManFindBoolCut( p, pObj, vFront, vVolume, vLeaves );
+ if ( RetValue == 0 )
+ printf( "- " );
+ else
+ printf( "%d ", Vec_PtrSize(vLeaves) );
+/*
+ printf( "( " );
+ Vec_PtrForEachEntry( vFront, pTemp, k )
+ printf( "%d ", Ivy_ObjRefs(Ivy_Regular(pTemp)) );
+ printf( ")\n" );
+*/
+ }
+ printf( "\n" );
+ Vec_PtrFree( vFront );
+ Vec_PtrFree( vVolume );
+ Vec_PtrFree( vLeaves );
+}
+
+
+
+/**Function*************************************************************
+
+ Synopsis [Find the hash value of the cut.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline unsigned Ivy_NodeCutHash( Ivy_Cut_t * pCut )
+{
+ int i;
+// for ( i = 1; i < pCut->nSize; i++ )
+// assert( pCut->pArray[i-1] < pCut->pArray[i] );
+ pCut->uHash = 0;
+ for ( i = 0; i < pCut->nSize; i++ )
+ pCut->uHash |= (1 << (pCut->pArray[i] % 31));
+ return pCut->uHash;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Removes one node to the cut.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline void Ivy_NodeCutShrink( Ivy_Cut_t * pCut, int iOld )
+{
+ int i, k;
+ for ( i = k = 0; i < pCut->nSize; i++ )
+ if ( pCut->pArray[i] != iOld )
+ pCut->pArray[k++] = pCut->pArray[i];
+ assert( k == pCut->nSize - 1 );
+ pCut->nSize--;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Adds one node to the cut.]
+
+ Description [Returns 1 if the cuts is still okay.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int Ivy_NodeCutExtend( Ivy_Cut_t * pCut, int iNew )
+{
+ int i;
+ for ( i = 0; i < pCut->nSize; i++ )
+ if ( pCut->pArray[i] == iNew )
+ return 1;
+ // check if there is room
+ if ( pCut->nSize == pCut->nSizeMax )
+ return 0;
+ // add the new one
+ for ( i = pCut->nSize - 1; i >= 0; i-- )
+ if ( pCut->pArray[i] > iNew )
+ pCut->pArray[i+1] = pCut->pArray[i];
+ else
+ {
+ assert( pCut->pArray[i] < iNew );
+ break;
+ }
+ pCut->pArray[i+1] = iNew;
+ pCut->nSize++;
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns 1 if the cut can be constructed; 0 otherwise.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int Ivy_NodeCutPrescreen( Ivy_Cut_t * pCut, int Id0, int Id1 )
+{
+ int i;
+ if ( pCut->nSize < pCut->nSizeMax )
+ return 1;
+ for ( i = 0; i < pCut->nSize; i++ )
+ if ( pCut->pArray[i] == Id0 || pCut->pArray[i] == Id1 )
+ return 1;
+ return 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Derives new cut.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int Ivy_NodeCutDeriveNew( Ivy_Cut_t * pCut, Ivy_Cut_t * pCutNew, int IdOld, int IdNew0, int IdNew1 )
+{
+ unsigned uHash = 0;
+ int i, k;
+ assert( pCut->nSize > 0 );
+ assert( IdNew0 < IdNew1 );
+ for ( i = k = 0; i < pCut->nSize; i++ )
+ {
+ if ( pCut->pArray[i] == IdOld )
+ continue;
+ if ( IdNew0 <= pCut->pArray[i] )
+ {
+ if ( IdNew0 < pCut->pArray[i] )
+ {
+ pCutNew->pArray[ k++ ] = IdNew0;
+ uHash |= Ivy_NodeCutHashValue( IdNew0 );
+ }
+ IdNew0 = 0x7FFFFFFF;
+ }
+ if ( IdNew1 <= pCut->pArray[i] )
+ {
+ if ( IdNew1 < pCut->pArray[i] )
+ {
+ pCutNew->pArray[ k++ ] = IdNew1;
+ uHash |= Ivy_NodeCutHashValue( IdNew1 );
+ }
+ IdNew1 = 0x7FFFFFFF;
+ }
+ pCutNew->pArray[ k++ ] = pCut->pArray[i];
+ uHash |= Ivy_NodeCutHashValue( pCut->pArray[i] );
+ }
+ if ( IdNew0 < 0x7FFFFFFF )
+ {
+ pCutNew->pArray[ k++ ] = IdNew0;
+ uHash |= Ivy_NodeCutHashValue( IdNew0 );
+ }
+ if ( IdNew1 < 0x7FFFFFFF )
+ {
+ pCutNew->pArray[ k++ ] = IdNew1;
+ uHash |= Ivy_NodeCutHashValue( IdNew1 );
+ }
+ pCutNew->nSize = k;
+ pCutNew->uHash = uHash;
+ assert( pCutNew->nSize <= pCut->nSizeMax );
+// for ( i = 1; i < pCutNew->nSize; i++ )
+// assert( pCutNew->pArray[i-1] < pCutNew->pArray[i] );
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Check if the cut exists.]
+
+ Description [Returns 1 if the cut exists.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_NodeCutFindOrAdd( Ivy_Store_t * pCutStore, Ivy_Cut_t * pCutNew )
+{
+ Ivy_Cut_t * pCut;
+ int i, k;
+ assert( pCutNew->uHash );
+ // try to find the cut
+ for ( i = 0; i < pCutStore->nCuts; i++ )
+ {
+ pCut = pCutStore->pCuts + i;
+ if ( pCut->uHash == pCutNew->uHash && pCut->nSize == pCutNew->nSize )
+ {
+ for ( k = 0; k < pCutNew->nSize; k++ )
+ if ( pCut->pArray[k] != pCutNew->pArray[k] )
+ break;
+ if ( k == pCutNew->nSize )
+ return 1;
+ }
+ }
+ assert( pCutStore->nCuts < pCutStore->nCutsMax );
+ // add the cut
+ pCut = pCutStore->pCuts + pCutStore->nCuts++;
+ *pCut = *pCutNew;
+ return 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns 1 if pDom is contained in pCut.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int Ivy_CutCheckDominance( Ivy_Cut_t * pDom, Ivy_Cut_t * pCut )
+{
+ int i, k;
+ for ( i = 0; i < pDom->nSize; i++ )
+ {
+ for ( k = 0; k < pCut->nSize; k++ )
+ if ( pDom->pArray[i] == pCut->pArray[k] )
+ break;
+ if ( k == pCut->nSize ) // node i in pDom is not contained in pCut
+ return 0;
+ }
+ // every node in pDom is contained in pCut
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Check if the cut exists.]
+
+ Description [Returns 1 if the cut exists.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_NodeCutFindOrAddFilter( Ivy_Store_t * pCutStore, Ivy_Cut_t * pCutNew )
+{
+ Ivy_Cut_t * pCut;
+ int i, k;
+ assert( pCutNew->uHash );
+ // try to find the cut
+ for ( i = 0; i < pCutStore->nCuts; i++ )
+ {
+ pCut = pCutStore->pCuts + i;
+ if ( pCut->nSize == 0 )
+ continue;
+ if ( pCut->nSize == pCutNew->nSize )
+ {
+ if ( pCut->uHash == pCutNew->uHash )
+ {
+ for ( k = 0; k < pCutNew->nSize; k++ )
+ if ( pCut->pArray[k] != pCutNew->pArray[k] )
+ break;
+ if ( k == pCutNew->nSize )
+ return 1;
+ }
+ continue;
+ }
+ if ( pCut->nSize < pCutNew->nSize )
+ {
+ // skip the non-contained cuts
+ if ( (pCut->uHash & pCutNew->uHash) != pCut->uHash )
+ continue;
+ // check containment seriously
+ if ( Ivy_CutCheckDominance( pCut, pCutNew ) )
+ return 1;
+ continue;
+ }
+ // check potential containment of other cut
+
+ // skip the non-contained cuts
+ if ( (pCut->uHash & pCutNew->uHash) != pCutNew->uHash )
+ continue;
+ // check containment seriously
+ if ( Ivy_CutCheckDominance( pCutNew, pCut ) )
+ {
+ // remove the current cut
+// --pCutStore->nCuts;
+// for ( k = i; k < pCutStore->nCuts; k++ )
+// pCutStore->pCuts[k] = pCutStore->pCuts[k+1];
+// i--;
+ pCut->nSize = 0;
+ }
+ }
+ assert( pCutStore->nCuts < pCutStore->nCutsMax );
+ // add the cut
+ pCut = pCutStore->pCuts + pCutStore->nCuts++;
+ *pCut = *pCutNew;
+ return 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Print the cut.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_NodeCompactCuts( Ivy_Store_t * pCutStore )
+{
+ Ivy_Cut_t * pCut;
+ int i, k;
+ for ( i = k = 0; i < pCutStore->nCuts; i++ )
+ {
+ pCut = pCutStore->pCuts + i;
+ if ( pCut->nSize == 0 )
+ continue;
+ pCutStore->pCuts[k++] = *pCut;
+ }
+ pCutStore->nCuts = k;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Print the cut.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_NodePrintCut( Ivy_Cut_t * pCut )
+{
+ int i;
+ assert( pCut->nSize > 0 );
+ printf( "%d : {", pCut->nSize );
+ for ( i = 0; i < pCut->nSize; i++ )
+ printf( " %d", pCut->pArray[i] );
+ printf( " }\n" );
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_NodePrintCuts( Ivy_Store_t * pCutStore )
+{
+ int i;
+ printf( "Node %d\n", pCutStore->pCuts[0].pArray[0] );
+ for ( i = 0; i < pCutStore->nCuts; i++ )
+ Ivy_NodePrintCut( pCutStore->pCuts + i );
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline Ivy_Obj_t * Ivy_ObjRealFanin( Ivy_Obj_t * pObj )
+{
+ if ( !Ivy_ObjIsBuf(pObj) )
+ return pObj;
+ return Ivy_ObjRealFanin( Ivy_ObjFanin0(pObj) );
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Store_t * Ivy_NodeFindCutsAll( Ivy_Man_t * p, Ivy_Obj_t * pObj, int nLeaves )
+{
+ static Ivy_Store_t CutStore, * pCutStore = &CutStore;
+ Ivy_Cut_t CutNew, * pCutNew = &CutNew, * pCut;
+ Ivy_Obj_t * pLeaf;
+ int i, k, iLeaf0, iLeaf1;
+
+ assert( nLeaves <= IVY_CUT_INPUT );
+
+ // start the structure
+ pCutStore->nCuts = 0;
+ pCutStore->nCutsMax = IVY_CUT_LIMIT;
+ // start the trivial cut
+ pCutNew->uHash = 0;
+ pCutNew->nSize = 1;
+ pCutNew->nSizeMax = nLeaves;
+ pCutNew->pArray[0] = pObj->Id;
+ Ivy_NodeCutHash( pCutNew );
+ // add the trivial cut
+ Ivy_NodeCutFindOrAdd( pCutStore, pCutNew );
+ assert( pCutStore->nCuts == 1 );
+
+ // explore the cuts
+ for ( i = 0; i < pCutStore->nCuts; i++ )
+ {
+ // expand this cut
+ pCut = pCutStore->pCuts + i;
+ if ( pCut->nSize == 0 )
+ continue;
+ for ( k = 0; k < pCut->nSize; k++ )
+ {
+ pLeaf = Ivy_ManObj( p, pCut->pArray[k] );
+ if ( Ivy_ObjIsCi(pLeaf) )
+ continue;
+/*
+ *pCutNew = *pCut;
+ Ivy_NodeCutShrink( pCutNew, pLeaf->Id );
+ if ( !Ivy_NodeCutExtend( pCutNew, Ivy_ObjFaninId0(pLeaf) ) )
+ continue;
+ if ( Ivy_ObjIsNode(pLeaf) && !Ivy_NodeCutExtend( pCutNew, Ivy_ObjFaninId1(pLeaf) ) )
+ continue;
+ Ivy_NodeCutHash( pCutNew );
+*/
+ iLeaf0 = Ivy_ObjId( Ivy_ObjRealFanin(Ivy_ObjFanin0(pLeaf)) );
+ iLeaf1 = Ivy_ObjId( Ivy_ObjRealFanin(Ivy_ObjFanin1(pLeaf)) );
+// if ( iLeaf0 == iLeaf1 ) // strange situation observed on Jan 18, 2007
+// continue;
+ if ( !Ivy_NodeCutPrescreen( pCut, iLeaf0, iLeaf1 ) )
+ continue;
+ if ( iLeaf0 > iLeaf1 )
+ Ivy_NodeCutDeriveNew( pCut, pCutNew, pCut->pArray[k], iLeaf1, iLeaf0 );
+ else
+ Ivy_NodeCutDeriveNew( pCut, pCutNew, pCut->pArray[k], iLeaf0, iLeaf1 );
+ Ivy_NodeCutFindOrAddFilter( pCutStore, pCutNew );
+ if ( pCutStore->nCuts == IVY_CUT_LIMIT )
+ break;
+ }
+ if ( pCutStore->nCuts == IVY_CUT_LIMIT )
+ break;
+ }
+ Ivy_NodeCompactCuts( pCutStore );
+// Ivy_NodePrintCuts( pCutStore );
+ return pCutStore;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_ManTestCutsAll( Ivy_Man_t * p )
+{
+ Ivy_Obj_t * pObj;
+ int i, nCutsCut, nCutsTotal, nNodeTotal, nNodeOver;
+ int clk = clock();
+ nNodeTotal = nNodeOver = 0;
+ nCutsTotal = -Ivy_ManNodeNum(p);
+ Ivy_ManForEachObj( p, pObj, i )
+ {
+ if ( !Ivy_ObjIsNode(pObj) )
+ continue;
+ nCutsCut = Ivy_NodeFindCutsAll( p, pObj, 5 )->nCuts;
+ nCutsTotal += nCutsCut;
+ nNodeOver += (nCutsCut == IVY_CUT_LIMIT);
+ nNodeTotal++;
+ }
+ printf( "Total cuts = %6d. Trivial = %6d. Nodes = %6d. Satur = %6d. ",
+ nCutsTotal, Ivy_ManPiNum(p) + Ivy_ManNodeNum(p), nNodeTotal, nNodeOver );
+ PRT( "Time", clock() - clk );
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/ivy/ivyCutTrav.c b/src/aig/ivy/ivyCutTrav.c
new file mode 100644
index 00000000..ea57c9f5
--- /dev/null
+++ b/src/aig/ivy/ivyCutTrav.c
@@ -0,0 +1,473 @@
+/**CFile****************************************************************
+
+ FileName [ivyCutTrav.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [And-Inverter Graph package.]
+
+ Synopsis []
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - May 11, 2006.]
+
+ Revision [$Id: ivyCutTrav.c,v 1.00 2006/05/11 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "ivy.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+static unsigned * Ivy_NodeCutElementary( Vec_Int_t * vStore, int nWords, int NodeId );
+static void Ivy_NodeComputeVolume( Ivy_Obj_t * pObj, int nNodeLimit, Vec_Ptr_t * vNodes, Vec_Ptr_t * vFront );
+static void Ivy_NodeFindCutsMerge( Vec_Ptr_t * vCuts0, Vec_Ptr_t * vCuts1, Vec_Ptr_t * vCuts, int nLeaves, int nWords, Vec_Int_t * vStore );
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Computes cuts for one node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Store_t * Ivy_NodeFindCutsTravAll( Ivy_Man_t * p, Ivy_Obj_t * pObj, int nLeaves, int nNodeLimit,
+ Vec_Ptr_t * vNodes, Vec_Ptr_t * vFront, Vec_Int_t * vStore, Vec_Vec_t * vBitCuts )
+{
+ static Ivy_Store_t CutStore, * pCutStore = &CutStore;
+ Vec_Ptr_t * vCuts, * vCuts0, * vCuts1;
+ unsigned * pBitCut;
+ Ivy_Obj_t * pLeaf;
+ Ivy_Cut_t * pCut;
+ int i, k, nWords, nNodes;
+
+ assert( nLeaves <= IVY_CUT_INPUT );
+
+ // find the given number of nodes in the TFI
+ Ivy_NodeComputeVolume( pObj, nNodeLimit - 1, vNodes, vFront );
+ nNodes = Vec_PtrSize(vNodes);
+// assert( nNodes <= nNodeLimit );
+
+ // make sure vBitCuts has enough room
+ Vec_VecExpand( vBitCuts, nNodes-1 );
+ Vec_VecClear( vBitCuts );
+
+ // prepare the memory manager
+ Vec_IntClear( vStore );
+ Vec_IntGrow( vStore, 64000 );
+
+ // set elementary cuts for the leaves
+ nWords = Extra_BitWordNum( nNodes );
+ Vec_PtrForEachEntry( vFront, pLeaf, i )
+ {
+ assert( Ivy_ObjTravId(pLeaf) < nNodes );
+ // get the new bitcut
+ pBitCut = Ivy_NodeCutElementary( vStore, nWords, Ivy_ObjTravId(pLeaf) );
+ // set it as the cut of this leaf
+ Vec_VecPush( vBitCuts, Ivy_ObjTravId(pLeaf), pBitCut );
+ }
+
+ // compute the cuts for each node
+ Vec_PtrForEachEntry( vNodes, pLeaf, i )
+ {
+ // skip the leaves
+ vCuts = Vec_VecEntry( vBitCuts, Ivy_ObjTravId(pLeaf) );
+ if ( Vec_PtrSize(vCuts) > 0 )
+ continue;
+ // add elementary cut
+ pBitCut = Ivy_NodeCutElementary( vStore, nWords, Ivy_ObjTravId(pLeaf) );
+ // set it as the cut of this leaf
+ Vec_VecPush( vBitCuts, Ivy_ObjTravId(pLeaf), pBitCut );
+ // get the fanin cuts
+ vCuts0 = Vec_VecEntry( vBitCuts, Ivy_ObjTravId( Ivy_ObjFanin0(pLeaf) ) );
+ vCuts1 = Vec_VecEntry( vBitCuts, Ivy_ObjTravId( Ivy_ObjFanin1(pLeaf) ) );
+ assert( Vec_PtrSize(vCuts0) > 0 );
+ assert( Vec_PtrSize(vCuts1) > 0 );
+ // merge the cuts
+ Ivy_NodeFindCutsMerge( vCuts0, vCuts1, vCuts, nLeaves, nWords, vStore );
+ }
+
+ // start the structure
+ pCutStore->nCuts = 0;
+ pCutStore->nCutsMax = IVY_CUT_LIMIT;
+ // collect the cuts of the root node
+ vCuts = Vec_VecEntry( vBitCuts, Ivy_ObjTravId(pObj) );
+ Vec_PtrForEachEntry( vCuts, pBitCut, i )
+ {
+ pCut = pCutStore->pCuts + pCutStore->nCuts++;
+ pCut->nSize = 0;
+ pCut->nSizeMax = nLeaves;
+ pCut->uHash = 0;
+ for ( k = 0; k < nNodes; k++ )
+ if ( Extra_TruthHasBit(pBitCut, k) )
+ pCut->pArray[ pCut->nSize++ ] = Ivy_ObjId( Vec_PtrEntry(vNodes, k) );
+ assert( pCut->nSize <= nLeaves );
+ if ( pCutStore->nCuts == pCutStore->nCutsMax )
+ break;
+ }
+
+ // clean the travIds
+ Vec_PtrForEachEntry( vNodes, pLeaf, i )
+ pLeaf->TravId = 0;
+ return pCutStore;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates elementary bit-cut.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+unsigned * Ivy_NodeCutElementary( Vec_Int_t * vStore, int nWords, int NodeId )
+{
+ unsigned * pBitCut;
+ pBitCut = Vec_IntFetch( vStore, nWords );
+ memset( pBitCut, 0, 4 * nWords );
+ Extra_TruthSetBit( pBitCut, NodeId );
+ return pBitCut;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Compares the node by level.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_CompareNodesByLevel( Ivy_Obj_t ** ppObj1, Ivy_Obj_t ** ppObj2 )
+{
+ Ivy_Obj_t * pObj1 = *ppObj1;
+ Ivy_Obj_t * pObj2 = *ppObj2;
+ if ( pObj1->Level < pObj2->Level )
+ return -1;
+ if ( pObj1->Level > pObj2->Level )
+ return 1;
+ return 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Mark all nodes up to the given depth.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_NodeComputeVolumeTrav1_rec( Ivy_Obj_t * pObj, int Depth )
+{
+ if ( Ivy_ObjIsCi(pObj) || Depth == 0 )
+ return;
+ Ivy_NodeComputeVolumeTrav1_rec( Ivy_ObjFanin0(pObj), Depth - 1 );
+ Ivy_NodeComputeVolumeTrav1_rec( Ivy_ObjFanin1(pObj), Depth - 1 );
+ pObj->fMarkA = 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Collect the marked nodes.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_NodeComputeVolumeTrav2_rec( Ivy_Obj_t * pObj, Vec_Ptr_t * vNodes )
+{
+ if ( !pObj->fMarkA )
+ return;
+ Ivy_NodeComputeVolumeTrav2_rec( Ivy_ObjFanin0(pObj), vNodes );
+ Ivy_NodeComputeVolumeTrav2_rec( Ivy_ObjFanin1(pObj), vNodes );
+ Vec_PtrPush( vNodes, pObj );
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_NodeComputeVolume( Ivy_Obj_t * pObj, int nNodeLimit, Vec_Ptr_t * vNodes, Vec_Ptr_t * vFront )
+{
+ Ivy_Obj_t * pTemp, * pFanin;
+ int i, nNodes;
+ // mark nodes up to the given depth
+ Ivy_NodeComputeVolumeTrav1_rec( pObj, 6 );
+ // collect the marked nodes
+ Vec_PtrClear( vFront );
+ Ivy_NodeComputeVolumeTrav2_rec( pObj, vFront );
+ // find the fanins that are not marked
+ Vec_PtrClear( vNodes );
+ Vec_PtrForEachEntry( vFront, pTemp, i )
+ {
+ pFanin = Ivy_ObjFanin0(pTemp);
+ if ( !pFanin->fMarkA )
+ {
+ pFanin->fMarkA = 1;
+ Vec_PtrPush( vNodes, pFanin );
+ }
+ pFanin = Ivy_ObjFanin1(pTemp);
+ if ( !pFanin->fMarkA )
+ {
+ pFanin->fMarkA = 1;
+ Vec_PtrPush( vNodes, pFanin );
+ }
+ }
+ // remember the number of nodes in the frontier
+ nNodes = Vec_PtrSize( vNodes );
+ // add the remaining nodes
+ Vec_PtrForEachEntry( vFront, pTemp, i )
+ Vec_PtrPush( vNodes, pTemp );
+ // unmark the nodes
+ Vec_PtrForEachEntry( vNodes, pTemp, i )
+ {
+ pTemp->fMarkA = 0;
+ pTemp->TravId = i;
+ }
+ // collect the frontier nodes
+ Vec_PtrClear( vFront );
+ Vec_PtrForEachEntryStop( vNodes, pTemp, i, nNodes )
+ Vec_PtrPush( vFront, pTemp );
+// printf( "%d ", Vec_PtrSize(vNodes) );
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_NodeComputeVolume2( Ivy_Obj_t * pObj, int nNodeLimit, Vec_Ptr_t * vNodes, Vec_Ptr_t * vFront )
+{
+ Ivy_Obj_t * pLeaf, * pPivot, * pFanin;
+ int LevelMax, i;
+ assert( Ivy_ObjIsNode(pObj) );
+ // clear arrays
+ Vec_PtrClear( vNodes );
+ Vec_PtrClear( vFront );
+ // add the root
+ pObj->fMarkA = 1;
+ Vec_PtrPush( vNodes, pObj );
+ Vec_PtrPush( vFront, pObj );
+ // expand node with maximum level
+ LevelMax = pObj->Level;
+ do {
+ // get the node to expand
+ pPivot = NULL;
+ Vec_PtrForEachEntryReverse( vFront, pLeaf, i )
+ {
+ if ( (int)pLeaf->Level == LevelMax )
+ {
+ pPivot = pLeaf;
+ break;
+ }
+ }
+ // decrease level if we did not find the node
+ if ( pPivot == NULL )
+ {
+ if ( --LevelMax == 0 )
+ break;
+ continue;
+ }
+ // the node to expand is found
+ // remove it from frontier
+ Vec_PtrRemove( vFront, pPivot );
+ // add fanins
+ pFanin = Ivy_ObjFanin0(pPivot);
+ if ( !pFanin->fMarkA )
+ {
+ pFanin->fMarkA = 1;
+ Vec_PtrPush( vNodes, pFanin );
+ Vec_PtrPush( vFront, pFanin );
+ }
+ pFanin = Ivy_ObjFanin1(pPivot);
+ if ( pFanin && !pFanin->fMarkA )
+ {
+ pFanin->fMarkA = 1;
+ Vec_PtrPush( vNodes, pFanin );
+ Vec_PtrPush( vFront, pFanin );
+ }
+ // quit if we collected enough nodes
+ } while ( Vec_PtrSize(vNodes) < nNodeLimit );
+
+ // sort nodes by level
+ Vec_PtrSort( vNodes, Ivy_CompareNodesByLevel );
+ // make sure the nodes are ordered in the increasing number of levels
+ pFanin = Vec_PtrEntry( vNodes, 0 );
+ pPivot = Vec_PtrEntryLast( vNodes );
+ assert( pFanin->Level <= pPivot->Level );
+
+ // clean the marks and remember node numbers in the TravId
+ Vec_PtrForEachEntry( vNodes, pFanin, i )
+ {
+ pFanin->fMarkA = 0;
+ pFanin->TravId = i;
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline void Extra_TruthOrWords( unsigned * pOut, unsigned * pIn0, unsigned * pIn1, int nWords )
+{
+ int w;
+ for ( w = nWords-1; w >= 0; w-- )
+ pOut[w] = pIn0[w] | pIn1[w];
+}
+static inline int Extra_TruthIsImplyWords( unsigned * pIn1, unsigned * pIn2, int nWords )
+{
+ int w;
+ for ( w = nWords-1; w >= 0; w-- )
+ if ( pIn1[w] & ~pIn2[w] )
+ return 0;
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Merges two sets of bit-cuts at a node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_NodeFindCutsMerge( Vec_Ptr_t * vCuts0, Vec_Ptr_t * vCuts1, Vec_Ptr_t * vCuts,
+ int nLeaves, int nWords, Vec_Int_t * vStore )
+{
+ unsigned * pBitCut, * pBitCut0, * pBitCut1, * pBitCutTest;
+ int i, k, c, w, Counter;
+ // iterate through the cut pairs
+ Vec_PtrForEachEntry( vCuts0, pBitCut0, i )
+ Vec_PtrForEachEntry( vCuts1, pBitCut1, k )
+ {
+ // skip infeasible cuts
+ Counter = 0;
+ for ( w = 0; w < nWords; w++ )
+ {
+ Counter += Extra_WordCountOnes( pBitCut0[w] | pBitCut1[w] );
+ if ( Counter > nLeaves )
+ break;
+ }
+ if ( Counter > nLeaves )
+ continue;
+ // the new cut is feasible - create it
+ pBitCutTest = Vec_IntFetch( vStore, nWords );
+ Extra_TruthOrWords( pBitCutTest, pBitCut0, pBitCut1, nWords );
+ // filter contained cuts; try to find containing cut
+ w = 0;
+ Vec_PtrForEachEntry( vCuts, pBitCut, c )
+ {
+ if ( Extra_TruthIsImplyWords( pBitCut, pBitCutTest, nWords ) )
+ break;
+ if ( Extra_TruthIsImplyWords( pBitCutTest, pBitCut, nWords ) )
+ continue;
+ Vec_PtrWriteEntry( vCuts, w++, pBitCut );
+ }
+ if ( c != Vec_PtrSize(vCuts) )
+ continue;
+ Vec_PtrShrink( vCuts, w );
+ // add the cut
+ Vec_PtrPush( vCuts, pBitCutTest );
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Compute the set of all cuts.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_ManTestCutsTravAll( Ivy_Man_t * p )
+{
+ Ivy_Store_t * pStore;
+ Ivy_Obj_t * pObj;
+ Vec_Ptr_t * vNodes, * vFront;
+ Vec_Int_t * vStore;
+ Vec_Vec_t * vBitCuts;
+ int i, nCutsCut, nCutsTotal, nNodeTotal, nNodeOver;
+ int clk = clock();
+
+ vNodes = Vec_PtrAlloc( 100 );
+ vFront = Vec_PtrAlloc( 100 );
+ vStore = Vec_IntAlloc( 100 );
+ vBitCuts = Vec_VecAlloc( 100 );
+
+ nNodeTotal = nNodeOver = 0;
+ nCutsTotal = -Ivy_ManNodeNum(p);
+ Ivy_ManForEachObj( p, pObj, i )
+ {
+ if ( !Ivy_ObjIsNode(pObj) )
+ continue;
+ pStore = Ivy_NodeFindCutsTravAll( p, pObj, 4, 60, vNodes, vFront, vStore, vBitCuts );
+ nCutsCut = pStore->nCuts;
+ nCutsTotal += nCutsCut;
+ nNodeOver += (nCutsCut == IVY_CUT_LIMIT);
+ nNodeTotal++;
+ }
+ printf( "Total cuts = %6d. Trivial = %6d. Nodes = %6d. Satur = %6d. ",
+ nCutsTotal, Ivy_ManPiNum(p) + Ivy_ManNodeNum(p), nNodeTotal, nNodeOver );
+ PRT( "Time", clock() - clk );
+
+ Vec_PtrFree( vNodes );
+ Vec_PtrFree( vFront );
+ Vec_IntFree( vStore );
+ Vec_VecFree( vBitCuts );
+
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/ivy/ivyDfs.c b/src/aig/ivy/ivyDfs.c
new file mode 100644
index 00000000..c27cba31
--- /dev/null
+++ b/src/aig/ivy/ivyDfs.c
@@ -0,0 +1,493 @@
+/**CFile****************************************************************
+
+ FileName [ivyDfs.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [And-Inverter Graph package.]
+
+ Synopsis [DFS collection procedures.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - May 11, 2006.]
+
+ Revision [$Id: ivyDfs.c,v 1.00 2006/05/11 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "ivy.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Collects nodes in the DFS order.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_ManDfs_rec( Ivy_Man_t * p, Ivy_Obj_t * pObj, Vec_Int_t * vNodes )
+{
+ if ( Ivy_ObjIsMarkA(pObj) )
+ return;
+ Ivy_ObjSetMarkA(pObj);
+ if ( Ivy_ObjIsConst1(pObj) || Ivy_ObjIsCi(pObj) )
+ {
+ if ( p->pHaig == NULL && pObj->pEquiv )
+ Ivy_ManDfs_rec( p, Ivy_Regular(pObj->pEquiv), vNodes );
+ return;
+ }
+//printf( "visiting node %d\n", pObj->Id );
+/*
+ if ( pObj->Id == 87 || pObj->Id == 90 )
+ {
+ int y = 0;
+ }
+*/
+ assert( Ivy_ObjIsBuf(pObj) || Ivy_ObjIsAnd(pObj) || Ivy_ObjIsExor(pObj) );
+ Ivy_ManDfs_rec( p, Ivy_ObjFanin0(pObj), vNodes );
+ if ( !Ivy_ObjIsBuf(pObj) )
+ Ivy_ManDfs_rec( p, Ivy_ObjFanin1(pObj), vNodes );
+ if ( p->pHaig == NULL && pObj->pEquiv )
+ Ivy_ManDfs_rec( p, Ivy_Regular(pObj->pEquiv), vNodes );
+ Vec_IntPush( vNodes, pObj->Id );
+
+//printf( "adding node %d with fanins %d and %d and equiv %d (refs = %d)\n",
+// pObj->Id, Ivy_ObjFanin0(pObj)->Id, Ivy_ObjFanin1(pObj)->Id,
+// pObj->pEquiv? Ivy_Regular(pObj->pEquiv)->Id: -1, Ivy_ObjRefs(pObj) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Collects AND/EXOR nodes in the DFS order from CIs to COs.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Vec_Int_t * Ivy_ManDfs( Ivy_Man_t * p )
+{
+ Vec_Int_t * vNodes;
+ Ivy_Obj_t * pObj;
+ int i;
+ assert( Ivy_ManLatchNum(p) == 0 );
+ // make sure the nodes are not marked
+ Ivy_ManForEachObj( p, pObj, i )
+ assert( !pObj->fMarkA && !pObj->fMarkB );
+ // collect the nodes
+ vNodes = Vec_IntAlloc( Ivy_ManNodeNum(p) );
+ Ivy_ManForEachPo( p, pObj, i )
+ Ivy_ManDfs_rec( p, Ivy_ObjFanin0(pObj), vNodes );
+ // unmark the collected nodes
+// Ivy_ManForEachNodeVec( p, vNodes, pObj, i )
+// Ivy_ObjClearMarkA(pObj);
+ Ivy_ManForEachObj( p, pObj, i )
+ Ivy_ObjClearMarkA(pObj);
+ // make sure network does not have dangling nodes
+ assert( Vec_IntSize(vNodes) == Ivy_ManNodeNum(p) + Ivy_ManBufNum(p) );
+ return vNodes;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Collects AND/EXOR nodes in the DFS order from CIs to COs.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Vec_Int_t * Ivy_ManDfsSeq( Ivy_Man_t * p, Vec_Int_t ** pvLatches )
+{
+ Vec_Int_t * vNodes, * vLatches;
+ Ivy_Obj_t * pObj;
+ int i;
+// assert( Ivy_ManLatchNum(p) > 0 );
+ // make sure the nodes are not marked
+ Ivy_ManForEachObj( p, pObj, i )
+ assert( !pObj->fMarkA && !pObj->fMarkB );
+ // collect the latches
+ vLatches = Vec_IntAlloc( Ivy_ManLatchNum(p) );
+ Ivy_ManForEachLatch( p, pObj, i )
+ Vec_IntPush( vLatches, pObj->Id );
+ // collect the nodes
+ vNodes = Vec_IntAlloc( Ivy_ManNodeNum(p) );
+ Ivy_ManForEachPo( p, pObj, i )
+ Ivy_ManDfs_rec( p, Ivy_ObjFanin0(pObj), vNodes );
+ Ivy_ManForEachNodeVec( p, vLatches, pObj, i )
+ Ivy_ManDfs_rec( p, Ivy_ObjFanin0(pObj), vNodes );
+ // unmark the collected nodes
+// Ivy_ManForEachNodeVec( p, vNodes, pObj, i )
+// Ivy_ObjClearMarkA(pObj);
+ Ivy_ManForEachObj( p, pObj, i )
+ Ivy_ObjClearMarkA(pObj);
+ // make sure network does not have dangling nodes
+// assert( Vec_IntSize(vNodes) == Ivy_ManNodeNum(p) + Ivy_ManBufNum(p) );
+
+// temporary!!!
+
+ if ( pvLatches == NULL )
+ Vec_IntFree( vLatches );
+ else
+ *pvLatches = vLatches;
+ return vNodes;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Collects nodes in the cone.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_ManCollectCone_rec( Ivy_Obj_t * pObj, Vec_Ptr_t * vCone )
+{
+ if ( pObj->fMarkA )
+ return;
+ if ( Ivy_ObjIsBuf(pObj) )
+ {
+ Ivy_ManCollectCone_rec( Ivy_ObjFanin0(pObj), vCone );
+ Vec_PtrPush( vCone, pObj );
+ return;
+ }
+ assert( Ivy_ObjIsNode(pObj) );
+ Ivy_ManCollectCone_rec( Ivy_ObjFanin0(pObj), vCone );
+ Ivy_ManCollectCone_rec( Ivy_ObjFanin1(pObj), vCone );
+ Vec_PtrPushUnique( vCone, pObj );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Collects nodes in the cone.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_ManCollectCone( Ivy_Obj_t * pObj, Vec_Ptr_t * vFront, Vec_Ptr_t * vCone )
+{
+ Ivy_Obj_t * pTemp;
+ int i;
+ assert( !Ivy_IsComplement(pObj) );
+ assert( Ivy_ObjIsNode(pObj) );
+ // mark the nodes
+ Vec_PtrForEachEntry( vFront, pTemp, i )
+ Ivy_Regular(pTemp)->fMarkA = 1;
+ assert( pObj->fMarkA == 0 );
+ // collect the cone
+ Vec_PtrClear( vCone );
+ Ivy_ManCollectCone_rec( pObj, vCone );
+ // unmark the nodes
+ Vec_PtrForEachEntry( vFront, pTemp, i )
+ Ivy_Regular(pTemp)->fMarkA = 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns the nodes by level.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Vec_Vec_t * Ivy_ManLevelize( Ivy_Man_t * p )
+{
+ Vec_Vec_t * vNodes;
+ Ivy_Obj_t * pObj;
+ int i;
+ vNodes = Vec_VecAlloc( 100 );
+ Ivy_ManForEachObj( p, pObj, i )
+ {
+ assert( !Ivy_ObjIsBuf(pObj) );
+ if ( Ivy_ObjIsNode(pObj) )
+ Vec_VecPush( vNodes, pObj->Level, pObj );
+ }
+ return vNodes;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes required levels for each node.]
+
+ Description [Assumes topological ordering of the nodes.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Vec_Int_t * Ivy_ManRequiredLevels( Ivy_Man_t * p )
+{
+ Ivy_Obj_t * pObj;
+ Vec_Int_t * vLevelsR;
+ Vec_Vec_t * vNodes;
+ int i, k, Level, LevelMax;
+ assert( p->vRequired == NULL );
+ // start the required times
+ vLevelsR = Vec_IntStart( Ivy_ManObjIdMax(p) + 1 );
+ // iterate through the nodes in the reverse order
+ vNodes = Ivy_ManLevelize( p );
+ Vec_VecForEachEntryReverseReverse( vNodes, pObj, i, k )
+ {
+ Level = Vec_IntEntry( vLevelsR, pObj->Id ) + 1 + Ivy_ObjIsExor(pObj);
+ if ( Vec_IntEntry( vLevelsR, Ivy_ObjFaninId0(pObj) ) < Level )
+ Vec_IntWriteEntry( vLevelsR, Ivy_ObjFaninId0(pObj), Level );
+ if ( Vec_IntEntry( vLevelsR, Ivy_ObjFaninId1(pObj) ) < Level )
+ Vec_IntWriteEntry( vLevelsR, Ivy_ObjFaninId1(pObj), Level );
+ }
+ Vec_VecFree( vNodes );
+ // convert it into the required times
+ LevelMax = Ivy_ManLevels( p );
+//printf( "max %5d\n",LevelMax );
+ Ivy_ManForEachObj( p, pObj, i )
+ {
+ Level = Vec_IntEntry( vLevelsR, pObj->Id );
+ Vec_IntWriteEntry( vLevelsR, pObj->Id, LevelMax - Level );
+//printf( "%5d : %5d %5d\n", pObj->Id, Level, LevelMax - Level );
+ }
+ p->vRequired = vLevelsR;
+ return vLevelsR;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Recursively detects combinational loops.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_ManIsAcyclic_rec( Ivy_Man_t * p, Ivy_Obj_t * pObj )
+{
+ // skip the node if it is already visited
+ if ( Ivy_ObjIsTravIdPrevious(p, pObj) )
+ return 1;
+ // check if the node is part of the combinational loop
+ if ( Ivy_ObjIsTravIdCurrent(p, pObj) )
+ {
+ fprintf( stdout, "Manager contains combinational loop!\n" );
+ fprintf( stdout, "Node \"%d\" is encountered twice on the following path:\n", Ivy_ObjId(pObj) );
+ fprintf( stdout, " %d", Ivy_ObjId(pObj) );
+ return 0;
+ }
+ // mark this node as a node on the current path
+ Ivy_ObjSetTravIdCurrent( p, pObj );
+ // explore equivalent nodes if pObj is the main node
+ if ( p->pHaig == NULL && pObj->pEquiv && Ivy_ObjRefs(pObj) > 0 )
+ {
+ Ivy_Obj_t * pTemp;
+ assert( !Ivy_IsComplement(pObj->pEquiv) );
+ for ( pTemp = pObj->pEquiv; pTemp != pObj; pTemp = Ivy_Regular(pTemp->pEquiv) )
+ {
+ // traverse the fanin's cone searching for the loop
+ if ( !Ivy_ManIsAcyclic_rec(p, pTemp) )
+ {
+ // return as soon as the loop is detected
+ fprintf( stdout, " -> (%d", Ivy_ObjId(pObj) );
+ for ( pTemp = pObj->pEquiv; pTemp != pObj; pTemp = Ivy_Regular(pTemp->pEquiv) )
+ fprintf( stdout, " %d", Ivy_ObjId(pTemp) );
+ fprintf( stdout, ")" );
+ return 0;
+ }
+ }
+ }
+ // quite if it is a CI node
+ if ( Ivy_ObjIsCi(pObj) || Ivy_ObjIsConst1(pObj) )
+ {
+ // mark this node as a visited node
+ Ivy_ObjSetTravIdPrevious( p, pObj );
+ return 1;
+ }
+ assert( Ivy_ObjIsNode(pObj) || Ivy_ObjIsBuf(pObj) );
+ // traverse the fanin's cone searching for the loop
+ if ( !Ivy_ManIsAcyclic_rec(p, Ivy_ObjFanin0(pObj)) )
+ {
+ // return as soon as the loop is detected
+ fprintf( stdout, " -> %d", Ivy_ObjId(pObj) );
+ return 0;
+ }
+ // traverse the fanin's cone searching for the loop
+ if ( Ivy_ObjIsNode(pObj) && !Ivy_ManIsAcyclic_rec(p, Ivy_ObjFanin1(pObj)) )
+ {
+ // return as soon as the loop is detected
+ fprintf( stdout, " -> %d", Ivy_ObjId(pObj) );
+ return 0;
+ }
+ // mark this node as a visited node
+ Ivy_ObjSetTravIdPrevious( p, pObj );
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Detects combinational loops.]
+
+ Description [This procedure is based on the idea suggested by Donald Chai.
+ As we traverse the network and visit the nodes, we need to distinquish
+ three types of nodes: (1) those that are visited for the first time,
+ (2) those that have been visited in this traversal but are currently not
+ on the traversal path, (3) those that have been visited and are currently
+ on the travesal path. When the node of type (3) is encountered, it means
+ that there is a combinational loop. To mark the three types of nodes,
+ two new values of the traversal IDs are used.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_ManIsAcyclic( Ivy_Man_t * p )
+{
+ Ivy_Obj_t * pObj;
+ int fAcyclic, i;
+ // set the traversal ID for this DFS ordering
+ Ivy_ManIncrementTravId( p );
+ Ivy_ManIncrementTravId( p );
+ // pObj->TravId == pNet->nTravIds means "pObj is on the path"
+ // pObj->TravId == pNet->nTravIds - 1 means "pObj is visited but is not on the path"
+ // pObj->TravId < pNet->nTravIds - 1 means "pObj is not visited"
+ // traverse the network to detect cycles
+ fAcyclic = 1;
+ Ivy_ManForEachCo( p, pObj, i )
+ {
+ // traverse the output logic cone
+ if ( fAcyclic = Ivy_ManIsAcyclic_rec(p, Ivy_ObjFanin0(pObj)) )
+ continue;
+ // stop as soon as the first loop is detected
+ fprintf( stdout, " (cone of %s \"%d\")\n", Ivy_ObjIsLatch(pObj)? "latch" : "PO", Ivy_ObjId(pObj) );
+ break;
+ }
+ return fAcyclic;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Sets the levels of the nodes.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_ManSetLevels_rec( Ivy_Obj_t * pObj, int fHaig )
+{
+ // quit if the node is visited
+ if ( Ivy_ObjIsMarkA(pObj) )
+ return pObj->Level;
+ Ivy_ObjSetMarkA(pObj);
+ // quit if this is a CI
+ if ( Ivy_ObjIsConst1(pObj) || Ivy_ObjIsCi(pObj) )
+ return 0;
+ assert( Ivy_ObjIsBuf(pObj) || Ivy_ObjIsAnd(pObj) || Ivy_ObjIsExor(pObj) );
+ // get levels of the fanins
+ Ivy_ManSetLevels_rec( Ivy_ObjFanin0(pObj), fHaig );
+ if ( !Ivy_ObjIsBuf(pObj) )
+ Ivy_ManSetLevels_rec( Ivy_ObjFanin1(pObj), fHaig );
+ // get level of the node
+ if ( Ivy_ObjIsBuf(pObj) )
+ pObj->Level = 1 + Ivy_ObjFanin0(pObj)->Level;
+ else if ( Ivy_ObjIsNode(pObj) )
+ pObj->Level = Ivy_ObjLevelNew( pObj );
+ else assert( 0 );
+ // get level of other choices
+ if ( fHaig && pObj->pEquiv && Ivy_ObjRefs(pObj) > 0 )
+ {
+ Ivy_Obj_t * pTemp;
+ unsigned LevelMax = pObj->Level;
+ for ( pTemp = pObj->pEquiv; pTemp != pObj; pTemp = Ivy_Regular(pTemp->pEquiv) )
+ {
+ Ivy_ManSetLevels_rec( pTemp, fHaig );
+ LevelMax = IVY_MAX( LevelMax, pTemp->Level );
+ }
+ // get this level
+ pObj->Level = LevelMax;
+ for ( pTemp = pObj->pEquiv; pTemp != pObj; pTemp = Ivy_Regular(pTemp->pEquiv) )
+ pTemp->Level = LevelMax;
+ }
+ return pObj->Level;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Sets the levels of the nodes.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_ManSetLevels( Ivy_Man_t * p, int fHaig )
+{
+ Ivy_Obj_t * pObj;
+ int i, LevelMax;
+ // check if CIs have choices
+ if ( fHaig )
+ {
+ Ivy_ManForEachCi( p, pObj, i )
+ if ( pObj->pEquiv )
+ printf( "CI %d has a choice, which will not be visualized.\n", pObj->Id );
+ }
+ // clean the levels
+ Ivy_ManForEachObj( p, pObj, i )
+ pObj->Level = 0;
+ // compute the levels
+ LevelMax = 0;
+ Ivy_ManForEachCo( p, pObj, i )
+ {
+ Ivy_ManSetLevels_rec( Ivy_ObjFanin0(pObj), fHaig );
+ LevelMax = IVY_MAX( LevelMax, (int)Ivy_ObjFanin0(pObj)->Level );
+ }
+ // compute levels of nodes without fanout
+ Ivy_ManForEachObj( p, pObj, i )
+ if ( (Ivy_ObjIsNode(pObj) || Ivy_ObjIsBuf(pObj)) && Ivy_ObjRefs(pObj) == 0 )
+ {
+ Ivy_ManSetLevels_rec( pObj, fHaig );
+ LevelMax = IVY_MAX( LevelMax, (int)pObj->Level );
+ }
+ // clean the marks
+ Ivy_ManForEachObj( p, pObj, i )
+ Ivy_ObjClearMarkA(pObj);
+ return LevelMax;
+}
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/ivy/ivyDsd.c b/src/aig/ivy/ivyDsd.c
new file mode 100644
index 00000000..3b8a2e68
--- /dev/null
+++ b/src/aig/ivy/ivyDsd.c
@@ -0,0 +1,819 @@
+/**CFile****************************************************************
+
+ FileName [ivyDsd.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [And-Inverter Graph package.]
+
+ Synopsis [Disjoint-support decomposition.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - May 11, 2006.]
+
+ Revision [$Id: ivyDsd.c,v 1.00 2006/05/11 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "ivy.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+// decomposition types
+typedef enum {
+ IVY_DEC_PI, // 0: var
+ IVY_DEC_CONST1, // 1: CONST1
+ IVY_DEC_BUF, // 2: BUF
+ IVY_DEC_AND, // 3: AND
+ IVY_DEC_EXOR, // 4: EXOR
+ IVY_DEC_MUX, // 5: MUX
+ IVY_DEC_MAJ, // 6: MAJ
+ IVY_DEC_PRIME // 7: undecomposable
+} Ivy_DecType_t;
+
+typedef struct Ivy_Dec_t_ Ivy_Dec_t;
+struct Ivy_Dec_t_
+{
+ unsigned Type : 4; // the node type (PI, CONST1, AND, EXOR, MUX, PRIME)
+ unsigned fCompl : 1; // shows if node is complemented (root node only)
+ unsigned nFans : 3; // the number of fanins
+ unsigned Fan0 : 4; // fanin 0
+ unsigned Fan1 : 4; // fanin 1
+ unsigned Fan2 : 4; // fanin 2
+ unsigned Fan3 : 4; // fanin 3
+ unsigned Fan4 : 4; // fanin 4
+ unsigned Fan5 : 4; // fanin 5
+};
+
+static inline int Ivy_DecToInt( Ivy_Dec_t Node ) { return *((int *)&Node); }
+static inline Ivy_Dec_t Ivy_IntToDec( int Node ) { return *((Ivy_Dec_t *)&Node); }
+static inline void Ivy_DecClear( Ivy_Dec_t * pNode ) { *((int *)pNode) = 0; }
+
+
+static unsigned s_Masks[6][2] = {
+ { 0x55555555, 0xAAAAAAAA },
+ { 0x33333333, 0xCCCCCCCC },
+ { 0x0F0F0F0F, 0xF0F0F0F0 },
+ { 0x00FF00FF, 0xFF00FF00 },
+ { 0x0000FFFF, 0xFFFF0000 },
+ { 0x00000000, 0xFFFFFFFF }
+};
+
+static inline int Ivy_TruthWordCountOnes( unsigned uWord )
+{
+ uWord = (uWord & 0x55555555) + ((uWord>>1) & 0x55555555);
+ uWord = (uWord & 0x33333333) + ((uWord>>2) & 0x33333333);
+ uWord = (uWord & 0x0F0F0F0F) + ((uWord>>4) & 0x0F0F0F0F);
+ uWord = (uWord & 0x00FF00FF) + ((uWord>>8) & 0x00FF00FF);
+ return (uWord & 0x0000FFFF) + (uWord>>16);
+}
+
+static inline int Ivy_TruthCofactorIsConst( unsigned uTruth, int Var, int Cof, int Const )
+{
+ if ( Const == 0 )
+ return (uTruth & s_Masks[Var][Cof]) == 0;
+ else
+ return (uTruth & s_Masks[Var][Cof]) == s_Masks[Var][Cof];
+}
+
+static inline int Ivy_TruthCofactorIsOne( unsigned uTruth, int Var )
+{
+ return (uTruth & s_Masks[Var][0]) == 0;
+}
+
+static inline unsigned Ivy_TruthCofactor( unsigned uTruth, int Var )
+{
+ unsigned uCofactor = uTruth & s_Masks[Var >> 1][(Var & 1) == 0];
+ int Shift = (1 << (Var >> 1));
+ if ( Var & 1 )
+ return uCofactor | (uCofactor << Shift);
+ return uCofactor | (uCofactor >> Shift);
+}
+
+static inline unsigned Ivy_TruthCofactor2( unsigned uTruth, int Var0, int Var1 )
+{
+ return Ivy_TruthCofactor( Ivy_TruthCofactor(uTruth, Var0), Var1 );
+}
+
+// returns 1 if the truth table depends on this var (var is regular interger var)
+static inline int Ivy_TruthDepends( unsigned uTruth, int Var )
+{
+ return Ivy_TruthCofactor(uTruth, Var << 1) != Ivy_TruthCofactor(uTruth, (Var << 1) | 1);
+}
+
+static inline void Ivy_DecSetVar( Ivy_Dec_t * pNode, int iNum, unsigned Var )
+{
+ assert( iNum >= 0 && iNum <= 5 );
+ switch( iNum )
+ {
+ case 0: pNode->Fan0 = Var; break;
+ case 1: pNode->Fan1 = Var; break;
+ case 2: pNode->Fan2 = Var; break;
+ case 3: pNode->Fan3 = Var; break;
+ case 4: pNode->Fan4 = Var; break;
+ case 5: pNode->Fan5 = Var; break;
+ }
+}
+
+static inline unsigned Ivy_DecGetVar( Ivy_Dec_t * pNode, int iNum )
+{
+ assert( iNum >= 0 && iNum <= 5 );
+ switch( iNum )
+ {
+ case 0: return pNode->Fan0;
+ case 1: return pNode->Fan1;
+ case 2: return pNode->Fan2;
+ case 3: return pNode->Fan3;
+ case 4: return pNode->Fan4;
+ case 5: return pNode->Fan5;
+ }
+ return ~0;
+}
+
+static int Ivy_TruthDecompose_rec( unsigned uTruth, Vec_Int_t * vTree );
+static int Ivy_TruthRecognizeMuxMaj( unsigned uTruth, int * pSupp, int nSupp, Vec_Int_t * vTree );
+
+//int nTruthDsd;
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Computes DSD of truth table of 5 variables or less.]
+
+ Description [Returns 1 if the function is a constant or is fully
+ DSD decomposable using AND/EXOR/MUX gates.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_TruthDsd( unsigned uTruth, Vec_Int_t * vTree )
+{
+ Ivy_Dec_t Node;
+ int i, RetValue;
+ // set the PI variables
+ Vec_IntClear( vTree );
+ for ( i = 0; i < 5; i++ )
+ Vec_IntPush( vTree, 0 );
+ // check if it is a constant
+ if ( uTruth == 0 || ~uTruth == 0 )
+ {
+ Ivy_DecClear( &Node );
+ Node.Type = IVY_DEC_CONST1;
+ Node.fCompl = (uTruth == 0);
+ Vec_IntPush( vTree, Ivy_DecToInt(Node) );
+ return 1;
+ }
+ // perform the decomposition
+ RetValue = Ivy_TruthDecompose_rec( uTruth, vTree );
+ if ( RetValue == -1 )
+ return 0;
+ // get the topmost node
+ if ( (RetValue >> 1) < 5 )
+ { // add buffer
+ Ivy_DecClear( &Node );
+ Node.Type = IVY_DEC_BUF;
+ Node.fCompl = (RetValue & 1);
+ Node.Fan0 = ((RetValue >> 1) << 1);
+ Vec_IntPush( vTree, Ivy_DecToInt(Node) );
+ }
+ else if ( RetValue & 1 )
+ { // check if the topmost node has to be complemented
+ Node = Ivy_IntToDec( Vec_IntPop(vTree) );
+ assert( Node.fCompl == 0 );
+ Node.fCompl = (RetValue & 1);
+ Vec_IntPush( vTree, Ivy_DecToInt(Node) );
+ }
+ if ( uTruth != Ivy_TruthDsdCompute(vTree) )
+ printf( "Verification failed.\n" );
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes DSD of truth table.]
+
+ Description [Returns the number of topmost decomposition node.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_TruthDecompose_rec( unsigned uTruth, Vec_Int_t * vTree )
+{
+ Ivy_Dec_t Node;
+ int Supp[5], Vars0[5], Vars1[5], Vars2[5], * pVars;
+ int nSupp, Count0, Count1, Count2, nVars, RetValue, fCompl, i;
+ unsigned uTruthCof, uCof0, uCof1;
+
+ // get constant confactors
+ Count0 = Count1 = Count2 = nSupp = 0;
+ for ( i = 0; i < 5; i++ )
+ {
+ if ( Ivy_TruthCofactorIsConst(uTruth, i, 0, 0) )
+ Vars0[Count0++] = (i << 1) | 0;
+ else if ( Ivy_TruthCofactorIsConst(uTruth, i, 1, 0) )
+ Vars0[Count0++] = (i << 1) | 1;
+ else if ( Ivy_TruthCofactorIsConst(uTruth, i, 0, 1) )
+ Vars1[Count1++] = (i << 1) | 0;
+ else if ( Ivy_TruthCofactorIsConst(uTruth, i, 1, 1) )
+ Vars1[Count1++] = (i << 1) | 1;
+ else
+ {
+ uCof0 = Ivy_TruthCofactor( uTruth, (i << 1) | 1 );
+ uCof1 = Ivy_TruthCofactor( uTruth, (i << 1) | 0 );
+ if ( uCof0 == ~uCof1 )
+ Vars2[Count2++] = (i << 1) | 0;
+ else if ( uCof0 != uCof1 )
+ Supp[nSupp++] = i;
+ }
+ }
+ assert( Count0 == 0 || Count1 == 0 );
+ assert( Count0 == 0 || Count2 == 0 );
+ assert( Count1 == 0 || Count2 == 0 );
+
+ // consider the case of a single variable
+ if ( Count0 == 1 && nSupp == 0 )
+ return Vars0[0];
+
+ // consider more complex decompositions
+ if ( Count0 == 0 && Count1 == 0 && Count2 == 0 )
+ return Ivy_TruthRecognizeMuxMaj( uTruth, Supp, nSupp, vTree );
+
+ // extract the nodes
+ Ivy_DecClear( &Node );
+ if ( Count0 > 0 )
+ nVars = Count0, pVars = Vars0, Node.Type = IVY_DEC_AND, fCompl = 0;
+ else if ( Count1 > 0 )
+ nVars = Count1, pVars = Vars1, Node.Type = IVY_DEC_AND, fCompl = 1, uTruth = ~uTruth;
+ else if ( Count2 > 0 )
+ nVars = Count2, pVars = Vars2, Node.Type = IVY_DEC_EXOR, fCompl = 0;
+ else
+ assert( 0 );
+ Node.nFans = nVars+(nSupp>0);
+
+ // compute cofactor
+ uTruthCof = uTruth;
+ for ( i = 0; i < nVars; i++ )
+ {
+ uTruthCof = Ivy_TruthCofactor( uTruthCof, pVars[i] );
+ Ivy_DecSetVar( &Node, i, pVars[i] );
+ }
+
+ if ( Node.Type == IVY_DEC_EXOR )
+ fCompl ^= ((Node.nFans & 1) == 0);
+
+ if ( nSupp > 0 )
+ {
+ assert( uTruthCof != 0 && ~uTruthCof != 0 );
+ // call recursively
+ RetValue = Ivy_TruthDecompose_rec( uTruthCof, vTree );
+ // quit if non-decomposable
+ if ( RetValue == -1 )
+ return -1;
+ // remove the complement from the child if the node is EXOR
+ if ( Node.Type == IVY_DEC_EXOR && (RetValue & 1) )
+ {
+ fCompl ^= 1;
+ RetValue ^= 1;
+ }
+ // set the new decomposition
+ Ivy_DecSetVar( &Node, nVars, RetValue );
+ }
+ else if ( Node.Type == IVY_DEC_EXOR )
+ fCompl ^= (uTruthCof == 0);
+
+ Vec_IntPush( vTree, Ivy_DecToInt(Node) );
+ return ((Vec_IntSize(vTree)-1) << 1) | fCompl;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns a non-negative number if the truth table is a MUX.]
+
+ Description [If the truth table is a MUX, returns the variable as follows:
+ first, control variable; second, positive cofactor; third, negative cofactor.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_TruthRecognizeMuxMaj( unsigned uTruth, int * pSupp, int nSupp, Vec_Int_t * vTree )
+{
+ Ivy_Dec_t Node;
+ int i, k, RetValue0, RetValue1;
+ unsigned uCof0, uCof1, Num;
+ char Count[3];
+ assert( nSupp >= 3 );
+ // start the node
+ Ivy_DecClear( &Node );
+ Node.Type = IVY_DEC_MUX;
+ Node.nFans = 3;
+ // try each of the variables
+ for ( i = 0; i < nSupp; i++ )
+ {
+ // get the cofactors with respect to these variables
+ uCof0 = Ivy_TruthCofactor( uTruth, (pSupp[i] << 1) | 1 );
+ uCof1 = Ivy_TruthCofactor( uTruth, pSupp[i] << 1 );
+ // go through all other variables and make sure
+ // each of them belongs to the support of one cofactor
+ for ( k = 0; k < nSupp; k++ )
+ {
+ if ( k == i )
+ continue;
+ if ( Ivy_TruthDepends(uCof0, pSupp[k]) && Ivy_TruthDepends(uCof1, pSupp[k]) )
+ break;
+ }
+ if ( k < nSupp )
+ continue;
+ // MUX decomposition exists
+ RetValue0 = Ivy_TruthDecompose_rec( uCof0, vTree );
+ if ( RetValue0 == -1 )
+ break;
+ RetValue1 = Ivy_TruthDecompose_rec( uCof1, vTree );
+ if ( RetValue1 == -1 )
+ break;
+ // both of them exist; create the node
+ Ivy_DecSetVar( &Node, 0, pSupp[i] << 1 );
+ Ivy_DecSetVar( &Node, 1, RetValue1 );
+ Ivy_DecSetVar( &Node, 2, RetValue0 );
+ Vec_IntPush( vTree, Ivy_DecToInt(Node) );
+ return ((Vec_IntSize(vTree)-1) << 1) | 0;
+ }
+ // check majority gate
+ if ( nSupp > 3 )
+ return -1;
+ if ( Ivy_TruthWordCountOnes(uTruth) != 16 )
+ return -1;
+ // this is a majority gate; determine polarity
+ Node.Type = IVY_DEC_MAJ;
+ Count[0] = Count[1] = Count[2] = 0;
+ for ( i = 0; i < 8; i++ )
+ {
+ Num = 0;
+ for ( k = 0; k < 3; k++ )
+ if ( i & (1 << k) )
+ Num |= (1 << pSupp[k]);
+ assert( Num < 32 );
+ if ( (uTruth & (1 << Num)) == 0 )
+ continue;
+ for ( k = 0; k < 3; k++ )
+ if ( i & (1 << k) )
+ Count[k]++;
+ }
+ assert( Count[0] == 1 || Count[0] == 3 );
+ assert( Count[1] == 1 || Count[1] == 3 );
+ assert( Count[2] == 1 || Count[2] == 3 );
+ Ivy_DecSetVar( &Node, 0, (pSupp[0] << 1)|(Count[0] == 1) );
+ Ivy_DecSetVar( &Node, 1, (pSupp[1] << 1)|(Count[1] == 1) );
+ Ivy_DecSetVar( &Node, 2, (pSupp[2] << 1)|(Count[2] == 1) );
+ Vec_IntPush( vTree, Ivy_DecToInt(Node) );
+ return ((Vec_IntSize(vTree)-1) << 1) | 0;
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Computes truth table of decomposition tree for verification.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+unsigned Ivy_TruthDsdCompute_rec( int iNode, Vec_Int_t * vTree )
+{
+ unsigned uTruthChild, uTruthTotal;
+ int Var, i;
+ // get the node
+ Ivy_Dec_t Node = Ivy_IntToDec( Vec_IntEntry(vTree, iNode) );
+ // compute the node function
+ if ( Node.Type == IVY_DEC_CONST1 )
+ return s_Masks[5][ !Node.fCompl ];
+ if ( Node.Type == IVY_DEC_PI )
+ return s_Masks[iNode][ !Node.fCompl ];
+ if ( Node.Type == IVY_DEC_BUF )
+ {
+ uTruthTotal = Ivy_TruthDsdCompute_rec( Node.Fan0 >> 1, vTree );
+ return Node.fCompl? ~uTruthTotal : uTruthTotal;
+ }
+ if ( Node.Type == IVY_DEC_AND )
+ {
+ uTruthTotal = s_Masks[5][1];
+ for ( i = 0; i < (int)Node.nFans; i++ )
+ {
+ Var = Ivy_DecGetVar( &Node, i );
+ uTruthChild = Ivy_TruthDsdCompute_rec( Var >> 1, vTree );
+ uTruthTotal = (Var & 1)? uTruthTotal & ~uTruthChild : uTruthTotal & uTruthChild;
+ }
+ return Node.fCompl? ~uTruthTotal : uTruthTotal;
+ }
+ if ( Node.Type == IVY_DEC_EXOR )
+ {
+ uTruthTotal = 0;
+ for ( i = 0; i < (int)Node.nFans; i++ )
+ {
+ Var = Ivy_DecGetVar( &Node, i );
+ uTruthTotal ^= Ivy_TruthDsdCompute_rec( Var >> 1, vTree );
+ assert( (Var & 1) == 0 );
+ }
+ return Node.fCompl? ~uTruthTotal : uTruthTotal;
+ }
+ assert( Node.fCompl == 0 );
+ if ( Node.Type == IVY_DEC_MUX || Node.Type == IVY_DEC_MAJ )
+ {
+ unsigned uTruthChildC, uTruthChild1, uTruthChild0;
+ int VarC, Var1, Var0;
+ VarC = Ivy_DecGetVar( &Node, 0 );
+ Var1 = Ivy_DecGetVar( &Node, 1 );
+ Var0 = Ivy_DecGetVar( &Node, 2 );
+ uTruthChildC = Ivy_TruthDsdCompute_rec( VarC >> 1, vTree );
+ uTruthChild1 = Ivy_TruthDsdCompute_rec( Var1 >> 1, vTree );
+ uTruthChild0 = Ivy_TruthDsdCompute_rec( Var0 >> 1, vTree );
+ assert( Node.Type == IVY_DEC_MAJ || (VarC & 1) == 0 );
+ uTruthChildC = (VarC & 1)? ~uTruthChildC : uTruthChildC;
+ uTruthChild1 = (Var1 & 1)? ~uTruthChild1 : uTruthChild1;
+ uTruthChild0 = (Var0 & 1)? ~uTruthChild0 : uTruthChild0;
+ if ( Node.Type == IVY_DEC_MUX )
+ return (uTruthChildC & uTruthChild1) | (~uTruthChildC & uTruthChild0);
+ else
+ return (uTruthChildC & uTruthChild1) | (uTruthChildC & uTruthChild0) | (uTruthChild1 & uTruthChild0);
+ }
+ assert( 0 );
+ return 0;
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Computes truth table of decomposition tree for verification.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+unsigned Ivy_TruthDsdCompute( Vec_Int_t * vTree )
+{
+ return Ivy_TruthDsdCompute_rec( Vec_IntSize(vTree)-1, vTree );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Prints the decomposition tree.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_TruthDsdPrint_rec( FILE * pFile, int iNode, Vec_Int_t * vTree )
+{
+ int Var, i;
+ // get the node
+ Ivy_Dec_t Node = Ivy_IntToDec( Vec_IntEntry(vTree, iNode) );
+ // compute the node function
+ if ( Node.Type == IVY_DEC_CONST1 )
+ fprintf( pFile, "Const1%s", (Node.fCompl? "\'" : "") );
+ else if ( Node.Type == IVY_DEC_PI )
+ fprintf( pFile, "%c%s", 'a' + iNode, (Node.fCompl? "\'" : "") );
+ else if ( Node.Type == IVY_DEC_BUF )
+ {
+ Ivy_TruthDsdPrint_rec( pFile, Node.Fan0 >> 1, vTree );
+ fprintf( pFile, "%s", (Node.fCompl? "\'" : "") );
+ }
+ else if ( Node.Type == IVY_DEC_AND )
+ {
+ fprintf( pFile, "AND(" );
+ for ( i = 0; i < (int)Node.nFans; i++ )
+ {
+ Var = Ivy_DecGetVar( &Node, i );
+ Ivy_TruthDsdPrint_rec( pFile, Var >> 1, vTree );
+ fprintf( pFile, "%s", (Var & 1)? "\'" : "" );
+ if ( i != (int)Node.nFans-1 )
+ fprintf( pFile, "," );
+ }
+ fprintf( pFile, ")%s", (Node.fCompl? "\'" : "") );
+ }
+ else if ( Node.Type == IVY_DEC_EXOR )
+ {
+ fprintf( pFile, "EXOR(" );
+ for ( i = 0; i < (int)Node.nFans; i++ )
+ {
+ Var = Ivy_DecGetVar( &Node, i );
+ Ivy_TruthDsdPrint_rec( pFile, Var >> 1, vTree );
+ if ( i != (int)Node.nFans-1 )
+ fprintf( pFile, "," );
+ assert( (Var & 1) == 0 );
+ }
+ fprintf( pFile, ")%s", (Node.fCompl? "\'" : "") );
+ }
+ else if ( Node.Type == IVY_DEC_MUX || Node.Type == IVY_DEC_MAJ )
+ {
+ int VarC, Var1, Var0;
+ assert( Node.fCompl == 0 );
+ VarC = Ivy_DecGetVar( &Node, 0 );
+ Var1 = Ivy_DecGetVar( &Node, 1 );
+ Var0 = Ivy_DecGetVar( &Node, 2 );
+ fprintf( pFile, "%s", (Node.Type == IVY_DEC_MUX)? "MUX(" : "MAJ(" );
+ Ivy_TruthDsdPrint_rec( pFile, VarC >> 1, vTree );
+ fprintf( pFile, "%s", (VarC & 1)? "\'" : "" );
+ fprintf( pFile, "," );
+ Ivy_TruthDsdPrint_rec( pFile, Var1 >> 1, vTree );
+ fprintf( pFile, "%s", (Var1 & 1)? "\'" : "" );
+ fprintf( pFile, "," );
+ Ivy_TruthDsdPrint_rec( pFile, Var0 >> 1, vTree );
+ fprintf( pFile, "%s", (Var0 & 1)? "\'" : "" );
+ fprintf( pFile, ")" );
+ }
+ else assert( 0 );
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Prints the decomposition tree.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_TruthDsdPrint( FILE * pFile, Vec_Int_t * vTree )
+{
+ fprintf( pFile, "F = " );
+ Ivy_TruthDsdPrint_rec( pFile, Vec_IntSize(vTree)-1, vTree );
+ fprintf( pFile, "\n" );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Implement DSD in the AIG.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Obj_t * Ivy_ManDsdConstruct_rec( Ivy_Man_t * p, Vec_Int_t * vFront, int iNode, Vec_Int_t * vTree )
+{
+ Ivy_Obj_t * pResult, * pChild, * pNodes[16];
+ int Var, i;
+ // get the node
+ Ivy_Dec_t Node = Ivy_IntToDec( Vec_IntEntry(vTree, iNode) );
+ // compute the node function
+ if ( Node.Type == IVY_DEC_CONST1 )
+ return Ivy_NotCond( Ivy_ManConst1(p), Node.fCompl );
+ if ( Node.Type == IVY_DEC_PI )
+ {
+ pResult = Ivy_ManObj( p, Vec_IntEntry(vFront, iNode) );
+ return Ivy_NotCond( pResult, Node.fCompl );
+ }
+ if ( Node.Type == IVY_DEC_BUF )
+ {
+ pResult = Ivy_ManDsdConstruct_rec( p, vFront, Node.Fan0 >> 1, vTree );
+ return Ivy_NotCond( pResult, Node.fCompl );
+ }
+ if ( Node.Type == IVY_DEC_AND || Node.Type == IVY_DEC_EXOR )
+ {
+ for ( i = 0; i < (int)Node.nFans; i++ )
+ {
+ Var = Ivy_DecGetVar( &Node, i );
+ assert( Node.Type == IVY_DEC_AND || (Var & 1) == 0 );
+ pChild = Ivy_ManDsdConstruct_rec( p, vFront, Var >> 1, vTree );
+ pChild = Ivy_NotCond( pChild, (Var & 1) );
+ pNodes[i] = pChild;
+ }
+
+// Ivy_MultiEval( pNodes, Node.nFans, Node.Type == IVY_DEC_AND ? IVY_AND : IVY_EXOR );
+
+ pResult = Ivy_Multi( p, pNodes, Node.nFans, Node.Type == IVY_DEC_AND ? IVY_AND : IVY_EXOR );
+ return Ivy_NotCond( pResult, Node.fCompl );
+ }
+ assert( Node.fCompl == 0 );
+ if ( Node.Type == IVY_DEC_MUX || Node.Type == IVY_DEC_MAJ )
+ {
+ int VarC, Var1, Var0;
+ VarC = Ivy_DecGetVar( &Node, 0 );
+ Var1 = Ivy_DecGetVar( &Node, 1 );
+ Var0 = Ivy_DecGetVar( &Node, 2 );
+ pNodes[0] = Ivy_ManDsdConstruct_rec( p, vFront, VarC >> 1, vTree );
+ pNodes[1] = Ivy_ManDsdConstruct_rec( p, vFront, Var1 >> 1, vTree );
+ pNodes[2] = Ivy_ManDsdConstruct_rec( p, vFront, Var0 >> 1, vTree );
+ assert( Node.Type == IVY_DEC_MAJ || (VarC & 1) == 0 );
+ pNodes[0] = Ivy_NotCond( pNodes[0], (VarC & 1) );
+ pNodes[1] = Ivy_NotCond( pNodes[1], (Var1 & 1) );
+ pNodes[2] = Ivy_NotCond( pNodes[2], (Var0 & 1) );
+ if ( Node.Type == IVY_DEC_MUX )
+ return Ivy_Mux( p, pNodes[0], pNodes[1], pNodes[2] );
+ else
+ return Ivy_Maj( p, pNodes[0], pNodes[1], pNodes[2] );
+ }
+ assert( 0 );
+ return 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Implement DSD in the AIG.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Obj_t * Ivy_ManDsdConstruct( Ivy_Man_t * p, Vec_Int_t * vFront, Vec_Int_t * vTree )
+{
+ int Entry, i;
+ // implement latches on the frontier (TEMPORARY!!!)
+ Vec_IntForEachEntry( vFront, Entry, i )
+ Vec_IntWriteEntry( vFront, i, Ivy_LeafId(Entry) );
+ // recursively construct the tree
+ return Ivy_ManDsdConstruct_rec( p, vFront, Vec_IntSize(vTree)-1, vTree );
+}
+
+
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_TruthDsdComputePrint( unsigned uTruth )
+{
+ static Vec_Int_t * vTree = NULL;
+ if ( vTree == NULL )
+ vTree = Vec_IntAlloc( 12 );
+ if ( Ivy_TruthDsd( uTruth, vTree ) )
+ Ivy_TruthDsdPrint( stdout, vTree );
+ else
+ printf( "Undecomposable\n" );
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_TruthTestOne( unsigned uTruth )
+{
+ static int Counter = 0;
+ static Vec_Int_t * vTree = NULL;
+ // decompose
+ if ( vTree == NULL )
+ vTree = Vec_IntAlloc( 12 );
+
+ if ( !Ivy_TruthDsd( uTruth, vTree ) )
+ {
+// printf( "Undecomposable\n" );
+ }
+ else
+ {
+// nTruthDsd++;
+ printf( "%5d : ", Counter++ );
+ Extra_PrintBinary( stdout, &uTruth, 32 );
+ printf( " " );
+ Ivy_TruthDsdPrint( stdout, vTree );
+ if ( uTruth != Ivy_TruthDsdCompute(vTree) )
+ printf( "Verification failed.\n" );
+ }
+// Vec_IntFree( vTree );
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_TruthTest()
+{
+ FILE * pFile;
+ char Buffer[100];
+ unsigned uTruth;
+ int i;
+
+ pFile = fopen( "npn4.txt", "r" );
+ for ( i = 0; i < 222; i++ )
+// pFile = fopen( "npn5.txt", "r" );
+// for ( i = 0; i < 616126; i++ )
+ {
+ fscanf( pFile, "%s", Buffer );
+ Extra_ReadHexadecimal( &uTruth, Buffer+2, 4 );
+// Extra_ReadHexadecimal( &uTruth, Buffer+2, 5 );
+ uTruth |= (uTruth << 16);
+// uTruth = ~uTruth;
+ Ivy_TruthTestOne( uTruth );
+ }
+ fclose( pFile );
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_TruthTest3()
+{
+ FILE * pFile;
+ char Buffer[100];
+ unsigned uTruth;
+ int i;
+
+ pFile = fopen( "npn3.txt", "r" );
+ for ( i = 0; i < 14; i++ )
+ {
+ fscanf( pFile, "%s", Buffer );
+ Extra_ReadHexadecimal( &uTruth, Buffer+2, 3 );
+ uTruth = uTruth | (uTruth << 8) | (uTruth << 16) | (uTruth << 24);
+ Ivy_TruthTestOne( uTruth );
+ }
+ fclose( pFile );
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_TruthTest5()
+{
+ FILE * pFile;
+ char Buffer[100];
+ unsigned uTruth;
+ int i;
+
+// pFile = fopen( "npn4.txt", "r" );
+// for ( i = 0; i < 222; i++ )
+ pFile = fopen( "npn5.txt", "r" );
+ for ( i = 0; i < 616126; i++ )
+ {
+ fscanf( pFile, "%s", Buffer );
+// Extra_ReadHexadecimal( &uTruth, Buffer+2, 4 );
+ Extra_ReadHexadecimal( &uTruth, Buffer+2, 5 );
+// uTruth |= (uTruth << 16);
+// uTruth = ~uTruth;
+ Ivy_TruthTestOne( uTruth );
+ }
+ fclose( pFile );
+}
+
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/ivy/ivyFanout.c b/src/aig/ivy/ivyFanout.c
new file mode 100644
index 00000000..3930186a
--- /dev/null
+++ b/src/aig/ivy/ivyFanout.c
@@ -0,0 +1,309 @@
+/**CFile****************************************************************
+
+ FileName [ivyFanout.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [And-Inverter Graph package.]
+
+ Synopsis [Representation of the fanouts.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - May 11, 2006.]
+
+ Revision [$Id: ivyFanout.c,v 1.00 2006/05/11 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "ivy.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+// getting hold of the next fanout of the node
+static inline Ivy_Obj_t * Ivy_ObjNextFanout( Ivy_Obj_t * pObj, Ivy_Obj_t * pFanout )
+{
+ assert( !Ivy_IsComplement(pObj) );
+ assert( !Ivy_IsComplement(pFanout) );
+ if ( pFanout == NULL )
+ return NULL;
+ if ( Ivy_ObjFanin0(pFanout) == pObj )
+ return pFanout->pNextFan0;
+ assert( Ivy_ObjFanin1(pFanout) == pObj );
+ return pFanout->pNextFan1;
+}
+
+// getting hold of the previous fanout of the node
+static inline Ivy_Obj_t * Ivy_ObjPrevFanout( Ivy_Obj_t * pObj, Ivy_Obj_t * pFanout )
+{
+ assert( !Ivy_IsComplement(pObj) );
+ assert( !Ivy_IsComplement(pFanout) );
+ if ( pFanout == NULL )
+ return NULL;
+ if ( Ivy_ObjFanin0(pFanout) == pObj )
+ return pFanout->pPrevFan0;
+ assert( Ivy_ObjFanin1(pFanout) == pObj );
+ return pFanout->pPrevFan1;
+}
+
+// getting hold of the place where the next fanout will be attached
+static inline Ivy_Obj_t ** Ivy_ObjNextFanoutPlace( Ivy_Obj_t * pObj, Ivy_Obj_t * pFanout )
+{
+ assert( !Ivy_IsComplement(pObj) );
+ assert( !Ivy_IsComplement(pFanout) );
+ if ( Ivy_ObjFanin0(pFanout) == pObj )
+ return &pFanout->pNextFan0;
+ assert( Ivy_ObjFanin1(pFanout) == pObj );
+ return &pFanout->pNextFan1;
+}
+
+// getting hold of the place where the next fanout will be attached
+static inline Ivy_Obj_t ** Ivy_ObjPrevFanoutPlace( Ivy_Obj_t * pObj, Ivy_Obj_t * pFanout )
+{
+ assert( !Ivy_IsComplement(pObj) );
+ assert( !Ivy_IsComplement(pFanout) );
+ if ( Ivy_ObjFanin0(pFanout) == pObj )
+ return &pFanout->pPrevFan0;
+ assert( Ivy_ObjFanin1(pFanout) == pObj );
+ return &pFanout->pPrevFan1;
+}
+
+// getting hold of the place where the next fanout will be attached
+static inline Ivy_Obj_t ** Ivy_ObjPrevNextFanoutPlace( Ivy_Obj_t * pObj, Ivy_Obj_t * pFanout )
+{
+ Ivy_Obj_t * pTemp;
+ assert( !Ivy_IsComplement(pObj) );
+ assert( !Ivy_IsComplement(pFanout) );
+ pTemp = Ivy_ObjPrevFanout(pObj, pFanout);
+ if ( pTemp == NULL )
+ return &pObj->pFanout;
+ if ( Ivy_ObjFanin0(pTemp) == pObj )
+ return &pTemp->pNextFan0;
+ assert( Ivy_ObjFanin1(pTemp) == pObj );
+ return &pTemp->pNextFan1;
+}
+
+// getting hold of the place where the next fanout will be attached
+static inline Ivy_Obj_t ** Ivy_ObjNextPrevFanoutPlace( Ivy_Obj_t * pObj, Ivy_Obj_t * pFanout )
+{
+ Ivy_Obj_t * pTemp;
+ assert( !Ivy_IsComplement(pObj) );
+ assert( !Ivy_IsComplement(pFanout) );
+ pTemp = Ivy_ObjNextFanout(pObj, pFanout);
+ if ( pTemp == NULL )
+ return NULL;
+ if ( Ivy_ObjFanin0(pTemp) == pObj )
+ return &pTemp->pPrevFan0;
+ assert( Ivy_ObjFanin1(pTemp) == pObj );
+ return &pTemp->pPrevFan1;
+}
+
+// iterator through the fanouts of the node
+#define Ivy_ObjForEachFanoutInt( pObj, pFanout ) \
+ for ( pFanout = (pObj)->pFanout; pFanout; \
+ pFanout = Ivy_ObjNextFanout(pObj, pFanout) )
+
+// safe iterator through the fanouts of the node
+#define Ivy_ObjForEachFanoutIntSafe( pObj, pFanout, pFanout2 ) \
+ for ( pFanout = (pObj)->pFanout, \
+ pFanout2 = Ivy_ObjNextFanout(pObj, pFanout); \
+ pFanout; \
+ pFanout = pFanout2, \
+ pFanout2 = Ivy_ObjNextFanout(pObj, pFanout) )
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Starts the fanout representation.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_ManStartFanout( Ivy_Man_t * p )
+{
+ Ivy_Obj_t * pObj;
+ int i;
+ assert( !p->fFanout );
+ p->fFanout = 1;
+ Ivy_ManForEachObj( p, pObj, i )
+ {
+ if ( Ivy_ObjFanin0(pObj) )
+ Ivy_ObjAddFanout( p, Ivy_ObjFanin0(pObj), pObj );
+ if ( Ivy_ObjFanin1(pObj) )
+ Ivy_ObjAddFanout( p, Ivy_ObjFanin1(pObj), pObj );
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Stops the fanout representation.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_ManStopFanout( Ivy_Man_t * p )
+{
+ Ivy_Obj_t * pObj;
+ int i;
+ assert( p->fFanout );
+ p->fFanout = 0;
+ Ivy_ManForEachObj( p, pObj, i )
+ pObj->pFanout = pObj->pNextFan0 = pObj->pNextFan1 = pObj->pPrevFan0 = pObj->pPrevFan1 = NULL;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Add the fanout.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_ObjAddFanout( Ivy_Man_t * p, Ivy_Obj_t * pFanin, Ivy_Obj_t * pFanout )
+{
+ assert( p->fFanout );
+ if ( pFanin->pFanout )
+ {
+ *Ivy_ObjNextFanoutPlace(pFanin, pFanout) = pFanin->pFanout;
+ *Ivy_ObjPrevFanoutPlace(pFanin, pFanin->pFanout) = pFanout;
+ }
+ pFanin->pFanout = pFanout;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Removes the fanout.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_ObjDeleteFanout( Ivy_Man_t * p, Ivy_Obj_t * pFanin, Ivy_Obj_t * pFanout )
+{
+ Ivy_Obj_t ** ppPlace1, ** ppPlace2, ** ppPlaceN;
+ assert( pFanin->pFanout != NULL );
+
+ ppPlace1 = Ivy_ObjNextFanoutPlace(pFanin, pFanout);
+ ppPlaceN = Ivy_ObjPrevNextFanoutPlace(pFanin, pFanout);
+ assert( *ppPlaceN == pFanout );
+ if ( ppPlaceN )
+ *ppPlaceN = *ppPlace1;
+
+ ppPlace2 = Ivy_ObjPrevFanoutPlace(pFanin, pFanout);
+ ppPlaceN = Ivy_ObjNextPrevFanoutPlace(pFanin, pFanout);
+ assert( ppPlaceN == NULL || *ppPlaceN == pFanout );
+ if ( ppPlaceN )
+ *ppPlaceN = *ppPlace2;
+
+ *ppPlace1 = NULL;
+ *ppPlace2 = NULL;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Replaces the fanout of pOld to be pFanoutNew.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_ObjPatchFanout( Ivy_Man_t * p, Ivy_Obj_t * pFanin, Ivy_Obj_t * pFanoutOld, Ivy_Obj_t * pFanoutNew )
+{
+ Ivy_Obj_t ** ppPlace;
+ ppPlace = Ivy_ObjPrevNextFanoutPlace(pFanin, pFanoutOld);
+ assert( *ppPlace == pFanoutOld );
+ if ( ppPlace )
+ *ppPlace = pFanoutNew;
+ ppPlace = Ivy_ObjNextPrevFanoutPlace(pFanin, pFanoutOld);
+ assert( ppPlace == NULL || *ppPlace == pFanoutOld );
+ if ( ppPlace )
+ *ppPlace = pFanoutNew;
+ // assuming that pFanoutNew already points to the next fanout
+}
+
+/**Function*************************************************************
+
+ Synopsis [Starts iteration through the fanouts.]
+
+ Description [Copies the currently available fanouts into the array.]
+
+ SideEffects [Can be used while the fanouts are being removed.]
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_ObjCollectFanouts( Ivy_Man_t * p, Ivy_Obj_t * pObj, Vec_Ptr_t * vArray )
+{
+ Ivy_Obj_t * pFanout;
+ assert( p->fFanout );
+ assert( !Ivy_IsComplement(pObj) );
+ Vec_PtrClear( vArray );
+ Ivy_ObjForEachFanoutInt( pObj, pFanout )
+ Vec_PtrPush( vArray, pFanout );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Reads one fanout.]
+
+ Description [Returns fanout if there is only one fanout.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Obj_t * Ivy_ObjReadFirstFanout( Ivy_Man_t * p, Ivy_Obj_t * pObj )
+{
+ return pObj->pFanout;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Reads one fanout.]
+
+ Description [Returns fanout if there is only one fanout.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_ObjFanoutNum( Ivy_Man_t * p, Ivy_Obj_t * pObj )
+{
+ Ivy_Obj_t * pFanout;
+ int Counter = 0;
+ Ivy_ObjForEachFanoutInt( pObj, pFanout )
+ Counter++;
+ return Counter;
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/ivy/ivyFastMap.c b/src/aig/ivy/ivyFastMap.c
new file mode 100644
index 00000000..c4a043f2
--- /dev/null
+++ b/src/aig/ivy/ivyFastMap.c
@@ -0,0 +1,1593 @@
+/**CFile****************************************************************
+
+ FileName [ivyFastMap.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [And-Inverter Graph package.]
+
+ Synopsis [Fast FPGA mapping.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - May 11, 2006.]
+
+ Revision [$Id: ivyFastMap.c,v 1.00 2006/05/11 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "ivy.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+#define IVY_INFINITY 10000
+
+typedef struct Ivy_SuppMan_t_ Ivy_SuppMan_t;
+struct Ivy_SuppMan_t_
+{
+ int nLimit; // the limit on the number of inputs
+ int nObjs; // the number of entries
+ int nSize; // size of each entry in bytes
+ char * pMem; // memory allocated
+ Vec_Vec_t * vLuts; // the array of nodes used in the mapping
+};
+
+typedef struct Ivy_Supp_t_ Ivy_Supp_t;
+struct Ivy_Supp_t_
+{
+ char nSize; // the number of support nodes
+ char fMark; // multipurpose mask
+ char fMark2; // multipurpose mask
+ char fMark3; // multipurpose mask
+ int nRefs; // the number of references
+ short Delay; // the delay of the node
+ short DelayR; // the reverse delay of the node
+ int pArray[0]; // the support nodes
+};
+
+static inline Ivy_Supp_t * Ivy_ObjSupp( Ivy_Man_t * pAig, Ivy_Obj_t * pObj )
+{
+ return (Ivy_Supp_t *)(((Ivy_SuppMan_t*)pAig->pData)->pMem + pObj->Id * ((Ivy_SuppMan_t*)pAig->pData)->nSize);
+}
+static inline Ivy_Supp_t * Ivy_ObjSuppStart( Ivy_Man_t * pAig, Ivy_Obj_t * pObj )
+{
+ Ivy_Supp_t * pSupp;
+ pSupp = Ivy_ObjSupp( pAig, pObj );
+ pSupp->fMark = 0;
+ pSupp->Delay = 0;
+ pSupp->nSize = 1;
+ pSupp->pArray[0] = pObj->Id;
+ return pSupp;
+}
+
+static void Ivy_FastMapPrint( Ivy_Man_t * pAig, int Delay, int Area, int Time, char * pStr );
+static int Ivy_FastMapDelay( Ivy_Man_t * pAig );
+static int Ivy_FastMapArea( Ivy_Man_t * pAig );
+static void Ivy_FastMapNode( Ivy_Man_t * pAig, Ivy_Obj_t * pObj, int nLimit );
+static void Ivy_FastMapNodeArea( Ivy_Man_t * pAig, Ivy_Obj_t * pObj, int nLimit );
+static int Ivy_FastMapMerge( Ivy_Supp_t * pSupp0, Ivy_Supp_t * pSupp1, Ivy_Supp_t * pSupp, int nLimit );
+static void Ivy_FastMapRequired( Ivy_Man_t * pAig, int Delay, int fSetInter );
+static void Ivy_FastMapRecover( Ivy_Man_t * pAig, int nLimit );
+static int Ivy_FastMapNodeDelay( Ivy_Man_t * pAig, Ivy_Obj_t * pObj );
+static int Ivy_FastMapNodeAreaRefed( Ivy_Man_t * pAig, Ivy_Obj_t * pObj );
+static int Ivy_FastMapNodeAreaDerefed( Ivy_Man_t * pAig, Ivy_Obj_t * pObj );
+static void Ivy_FastMapNodeRecover( Ivy_Man_t * pAig, Ivy_Obj_t * pObj, int nLimit, Vec_Ptr_t * vFront, Vec_Ptr_t * vFrontOld );
+static int Ivy_FastMapNodeRef( Ivy_Man_t * pAig, Ivy_Obj_t * pObj );
+static int Ivy_FastMapNodeDeref( Ivy_Man_t * pAig, Ivy_Obj_t * pObj );
+
+
+extern int s_MappingTime;
+extern int s_MappingMem;
+
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Performs fast K-LUT mapping of the AIG.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FastMapPerform( Ivy_Man_t * pAig, int nLimit, int fRecovery, int fVerbose )
+{
+ Ivy_SuppMan_t * pMan;
+ Ivy_Obj_t * pObj;
+ int i, Delay, Area, clk, clkTotal = clock();
+ // start the memory for supports
+ pMan = ALLOC( Ivy_SuppMan_t, 1 );
+ memset( pMan, 0, sizeof(Ivy_SuppMan_t) );
+ pMan->nLimit = nLimit;
+ pMan->nObjs = Ivy_ManObjIdMax(pAig) + 1;
+ pMan->nSize = sizeof(Ivy_Supp_t) + nLimit * sizeof(int);
+ pMan->pMem = (char *)malloc( pMan->nObjs * pMan->nSize );
+ memset( pMan->pMem, 0, pMan->nObjs * pMan->nSize );
+ pMan->vLuts = Vec_VecAlloc( 100 );
+ pAig->pData = pMan;
+clk = clock();
+ // set the PI mapping
+ Ivy_ObjSuppStart( pAig, Ivy_ManConst1(pAig) );
+ Ivy_ManForEachPi( pAig, pObj, i )
+ Ivy_ObjSuppStart( pAig, pObj );
+ // iterate through all nodes in the topological order
+ Ivy_ManForEachNode( pAig, pObj, i )
+ Ivy_FastMapNode( pAig, pObj, nLimit );
+ // find the best arrival time and area
+ Delay = Ivy_FastMapDelay( pAig );
+ Area = Ivy_FastMapArea(pAig);
+ if ( fVerbose )
+ Ivy_FastMapPrint( pAig, Delay, Area, clock() - clk, "Delay oriented mapping: " );
+
+// 2-1-2 (doing 2-1-2-1-2 improves 0.5%)
+
+ if ( fRecovery )
+ {
+clk = clock();
+ Ivy_FastMapRequired( pAig, Delay, 0 );
+ // remap the nodes
+ Ivy_FastMapRecover( pAig, nLimit );
+ Delay = Ivy_FastMapDelay( pAig );
+ Area = Ivy_FastMapArea(pAig);
+ if ( fVerbose )
+ Ivy_FastMapPrint( pAig, Delay, Area, clock() - clk, "Area recovery 2 : " );
+
+clk = clock();
+ Ivy_FastMapRequired( pAig, Delay, 0 );
+ // iterate through all nodes in the topological order
+ Ivy_ManForEachNode( pAig, pObj, i )
+ Ivy_FastMapNodeArea( pAig, pObj, nLimit );
+ Delay = Ivy_FastMapDelay( pAig );
+ Area = Ivy_FastMapArea(pAig);
+ if ( fVerbose )
+ Ivy_FastMapPrint( pAig, Delay, Area, clock() - clk, "Area recovery 1 : " );
+
+clk = clock();
+ Ivy_FastMapRequired( pAig, Delay, 0 );
+ // remap the nodes
+ Ivy_FastMapRecover( pAig, nLimit );
+ Delay = Ivy_FastMapDelay( pAig );
+ Area = Ivy_FastMapArea(pAig);
+ if ( fVerbose )
+ Ivy_FastMapPrint( pAig, Delay, Area, clock() - clk, "Area recovery 2 : " );
+ }
+
+
+ s_MappingTime = clock() - clkTotal;
+ s_MappingMem = pMan->nObjs * pMan->nSize;
+/*
+ {
+ Vec_Ptr_t * vNodes;
+ vNodes = Vec_PtrAlloc( 100 );
+ Vec_VecForEachEntry( pMan->vLuts, pObj, i, k )
+ Vec_PtrPush( vNodes, pObj );
+ Ivy_ManShow( pAig, 0, vNodes );
+ Vec_PtrFree( vNodes );
+ }
+*/
+}
+
+/**Function*************************************************************
+
+ Synopsis [Cleans memory used for decomposition.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FastMapStop( Ivy_Man_t * pAig )
+{
+ Ivy_SuppMan_t * p = pAig->pData;
+ Vec_VecFree( p->vLuts );
+ free( p->pMem );
+ free( p );
+ pAig->pData = NULL;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Prints statistics.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FastMapPrint( Ivy_Man_t * pAig, int Delay, int Area, int Time, char * pStr )
+{
+ printf( "%s : Delay = %3d. Area = %6d. ", pStr, Delay, Area );
+ PRT( "Time", Time );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes delay after LUT mapping.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_FastMapDelay( Ivy_Man_t * pAig )
+{
+ Ivy_Supp_t * pSupp;
+ Ivy_Obj_t * pObj;
+ int i, DelayMax = 0;
+ Ivy_ManForEachPo( pAig, pObj, i )
+ {
+ pObj = Ivy_ObjFanin0(pObj);
+ if ( !Ivy_ObjIsNode(pObj) )
+ continue;
+ pSupp = Ivy_ObjSupp( pAig, pObj );
+ if ( DelayMax < pSupp->Delay )
+ DelayMax = pSupp->Delay;
+ }
+ return DelayMax;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes area after mapping.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_FastMapArea_rec( Ivy_Man_t * pAig, Ivy_Obj_t * pObj, Vec_Vec_t * vLuts )
+{
+ Ivy_Supp_t * pSupp;
+ int i, Counter;
+ pSupp = Ivy_ObjSupp( pAig, pObj );
+ // skip visited nodes and PIs
+ if ( pSupp->fMark || pSupp->nSize == 1 )
+ return 0;
+ pSupp->fMark = 1;
+ // compute the area of this node
+ Counter = 0;
+ for ( i = 0; i < pSupp->nSize; i++ )
+ Counter += Ivy_FastMapArea_rec( pAig, Ivy_ManObj(pAig, pSupp->pArray[i]), vLuts );
+ // add the node to the array of LUTs
+ Vec_VecPush( vLuts, pSupp->Delay, pObj );
+ return 1 + Counter;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes area after mapping.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_FastMapArea( Ivy_Man_t * pAig )
+{
+ Vec_Vec_t * vLuts;
+ Ivy_Obj_t * pObj;
+ int i, Counter = 0;
+ // get the array to store the nodes
+ vLuts = ((Ivy_SuppMan_t *)pAig->pData)->vLuts;
+ Vec_VecClear( vLuts );
+ // explore starting from each node
+ Ivy_ManForEachPo( pAig, pObj, i )
+ Counter += Ivy_FastMapArea_rec( pAig, Ivy_ObjFanin0(pObj), vLuts );
+ // clean the marks
+ Ivy_ManForEachNode( pAig, pObj, i )
+ Ivy_ObjSupp( pAig, pObj )->fMark = 0;
+ return Counter;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs fast mapping for one node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline Ivy_ObjIsNodeInt1( Ivy_Obj_t * pObj )
+{
+ return Ivy_ObjIsNode(pObj) && Ivy_ObjRefs(pObj) == 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs fast mapping for one node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline Ivy_ObjIsNodeInt2( Ivy_Obj_t * pObj )
+{
+ return Ivy_ObjIsNode(pObj) && Ivy_ObjRefs(pObj) <= 2;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs fast mapping for one node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline void Vec_IntSelectSort( int * pArray, int nSize )
+{
+ int temp, i, j, best_i;
+ for ( i = 0; i < nSize-1; i++ )
+ {
+ best_i = i;
+ for ( j = i+1; j < nSize; j++ )
+ if ( pArray[j] < pArray[best_i] )
+ best_i = j;
+ temp = pArray[i];
+ pArray[i] = pArray[best_i];
+ pArray[best_i] = temp;
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs fast mapping for one node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int Vec_IntRemoveDup( int * pArray, int nSize )
+{
+ int i, k;
+ if ( nSize < 2 )
+ return nSize;
+ for ( i = k = 1; i < nSize; i++ )
+ if ( pArray[i] != pArray[i-1] )
+ pArray[k++] = pArray[i];
+ return k;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs fast mapping for one node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FastMapNodeArea2( Ivy_Man_t * pAig, Ivy_Obj_t * pObj, int nLimit )
+{
+ static int Store[32], StoreSize;
+ static char Supp0[16], Supp1[16];
+ static Ivy_Supp_t * pTemp0 = (Ivy_Supp_t *)Supp0;
+ static Ivy_Supp_t * pTemp1 = (Ivy_Supp_t *)Supp1;
+ Ivy_Obj_t * pFanin0, * pFanin1;
+ Ivy_Supp_t * pSupp0, * pSupp1, * pSupp;
+ int RetValue, DelayOld;
+ assert( nLimit <= 32 );
+ assert( Ivy_ObjIsNode(pObj) );
+ // get the fanins
+ pFanin0 = Ivy_ObjFanin0(pObj);
+ pFanin1 = Ivy_ObjFanin1(pObj);
+ // get the supports
+ pSupp0 = Ivy_ObjSupp( pAig, pFanin0 );
+ pSupp1 = Ivy_ObjSupp( pAig, pFanin1 );
+ pSupp = Ivy_ObjSupp( pAig, pObj );
+ assert( pSupp->fMark == 0 );
+ // get the old delay of the node
+ DelayOld = Ivy_FastMapNodeDelay(pAig, pObj);
+ assert( DelayOld <= pSupp->DelayR );
+ // copy the current cut
+ memcpy( Store, pSupp->pArray, sizeof(int) * pSupp->nSize );
+ StoreSize = pSupp->nSize;
+ // get the fanin support
+ if ( Ivy_ObjRefs(pFanin0) > 1 && pSupp0->Delay < pSupp->DelayR )
+ {
+ pSupp0 = pTemp0;
+ pSupp0->nSize = 1;
+ pSupp0->pArray[0] = Ivy_ObjFaninId0(pObj);
+ }
+ // get the fanin support
+ if ( Ivy_ObjRefs(pFanin1) > 1 && pSupp1->Delay < pSupp->DelayR )
+ {
+ pSupp1 = pTemp1;
+ pSupp1->nSize = 1;
+ pSupp1->pArray[0] = Ivy_ObjFaninId1(pObj);
+ }
+ // merge the cuts
+ if ( pSupp0->nSize < pSupp1->nSize )
+ RetValue = Ivy_FastMapMerge( pSupp1, pSupp0, pSupp, nLimit );
+ else
+ RetValue = Ivy_FastMapMerge( pSupp0, pSupp1, pSupp, nLimit );
+ if ( !RetValue )
+ {
+ pSupp->nSize = 2;
+ pSupp->pArray[0] = Ivy_ObjFaninId0(pObj);
+ pSupp->pArray[1] = Ivy_ObjFaninId1(pObj);
+ }
+ // check the resulting delay
+ pSupp->Delay = Ivy_FastMapNodeDelay(pAig, pObj);
+ if ( pSupp->Delay > pSupp->DelayR )
+ {
+ pSupp->nSize = StoreSize;
+ memcpy( pSupp->pArray, Store, sizeof(int) * pSupp->nSize );
+ pSupp->Delay = DelayOld;
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs fast mapping for one node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FastMapNodeArea( Ivy_Man_t * pAig, Ivy_Obj_t * pObj, int nLimit )
+{
+ static int Store[32], StoreSize;
+ static char Supp0[16], Supp1[16];
+ static Ivy_Supp_t * pTemp0 = (Ivy_Supp_t *)Supp0;
+ static Ivy_Supp_t * pTemp1 = (Ivy_Supp_t *)Supp1;
+ Ivy_Obj_t * pFanin0, * pFanin1;
+ Ivy_Supp_t * pSupp0, * pSupp1, * pSupp;
+ int RetValue, DelayOld, RefsOld;
+ int AreaBef, AreaAft;
+ assert( nLimit <= 32 );
+ assert( Ivy_ObjIsNode(pObj) );
+ // get the fanins
+ pFanin0 = Ivy_ObjFanin0(pObj);
+ pFanin1 = Ivy_ObjFanin1(pObj);
+ // get the supports
+ pSupp0 = Ivy_ObjSupp( pAig, pFanin0 );
+ pSupp1 = Ivy_ObjSupp( pAig, pFanin1 );
+ pSupp = Ivy_ObjSupp( pAig, pObj );
+ assert( pSupp->fMark == 0 );
+
+ // get the area
+ if ( pSupp->nRefs == 0 )
+ AreaBef = Ivy_FastMapNodeAreaDerefed( pAig, pObj );
+ else
+ AreaBef = Ivy_FastMapNodeAreaRefed( pAig, pObj );
+// if ( AreaBef == 1 )
+// return;
+
+ // deref the cut if the node is refed
+ if ( pSupp->nRefs != 0 )
+ Ivy_FastMapNodeDeref( pAig, pObj );
+
+ // get the old delay of the node
+ DelayOld = Ivy_FastMapNodeDelay(pAig, pObj);
+ assert( DelayOld <= pSupp->DelayR );
+ // copy the current cut
+ memcpy( Store, pSupp->pArray, sizeof(int) * pSupp->nSize );
+ StoreSize = pSupp->nSize;
+ // get the fanin support
+ if ( Ivy_ObjRefs(pFanin0) > 2 && pSupp0->Delay < pSupp->DelayR )
+// if ( pSupp0->nRefs > 0 && pSupp0->Delay < pSupp->DelayR ) // this leads to 2% worse results
+ {
+ pSupp0 = pTemp0;
+ pSupp0->nSize = 1;
+ pSupp0->pArray[0] = Ivy_ObjFaninId0(pObj);
+ }
+ // get the fanin support
+ if ( Ivy_ObjRefs(pFanin1) > 2 && pSupp1->Delay < pSupp->DelayR )
+// if ( pSupp1->nRefs > 0 && pSupp1->Delay < pSupp->DelayR )
+ {
+ pSupp1 = pTemp1;
+ pSupp1->nSize = 1;
+ pSupp1->pArray[0] = Ivy_ObjFaninId1(pObj);
+ }
+ // merge the cuts
+ if ( pSupp0->nSize < pSupp1->nSize )
+ RetValue = Ivy_FastMapMerge( pSupp1, pSupp0, pSupp, nLimit );
+ else
+ RetValue = Ivy_FastMapMerge( pSupp0, pSupp1, pSupp, nLimit );
+ if ( !RetValue )
+ {
+ pSupp->nSize = 2;
+ pSupp->pArray[0] = Ivy_ObjFaninId0(pObj);
+ pSupp->pArray[1] = Ivy_ObjFaninId1(pObj);
+ }
+
+ // check the resulting delay
+ pSupp->Delay = Ivy_FastMapNodeDelay(pAig, pObj);
+
+ RefsOld = pSupp->nRefs; pSupp->nRefs = 0;
+ AreaAft = Ivy_FastMapNodeAreaDerefed( pAig, pObj );
+ pSupp->nRefs = RefsOld;
+
+ if ( AreaAft > AreaBef || pSupp->Delay > pSupp->DelayR )
+// if ( pSupp->Delay > pSupp->DelayR )
+ {
+ pSupp->nSize = StoreSize;
+ memcpy( pSupp->pArray, Store, sizeof(int) * pSupp->nSize );
+ pSupp->Delay = DelayOld;
+// printf( "-" );
+ }
+// else
+// printf( "+" );
+
+ if ( pSupp->nRefs != 0 )
+ Ivy_FastMapNodeRef( pAig, pObj );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs fast mapping for one node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FastMapNode( Ivy_Man_t * pAig, Ivy_Obj_t * pObj, int nLimit )
+{
+ Ivy_Supp_t * pSupp0, * pSupp1, * pSupp;
+ int fFaninParam = 2;
+ int RetValue;
+ assert( Ivy_ObjIsNode(pObj) );
+ // get the supports
+ pSupp0 = Ivy_ObjSupp( pAig, Ivy_ObjFanin0(pObj) );
+ pSupp1 = Ivy_ObjSupp( pAig, Ivy_ObjFanin1(pObj) );
+ pSupp = Ivy_ObjSupp( pAig, pObj );
+ pSupp->fMark = 0;
+ // get the delays
+ if ( pSupp0->Delay == pSupp1->Delay )
+ pSupp->Delay = (pSupp0->Delay == 0) ? pSupp0->Delay + 1: pSupp0->Delay;
+ else if ( pSupp0->Delay > pSupp1->Delay )
+ {
+ pSupp->Delay = pSupp0->Delay;
+ pSupp1 = Ivy_ObjSupp( pAig, Ivy_ManConst1(pAig) );
+ pSupp1->pArray[0] = Ivy_ObjFaninId1(pObj);
+ }
+ else // if ( pSupp0->Delay < pSupp1->Delay )
+ {
+ pSupp->Delay = pSupp1->Delay;
+ pSupp0 = Ivy_ObjSupp( pAig, Ivy_ManConst1(pAig) );
+ pSupp0->pArray[0] = Ivy_ObjFaninId0(pObj);
+ }
+ // merge the cuts
+ if ( pSupp0->nSize < pSupp1->nSize )
+ RetValue = Ivy_FastMapMerge( pSupp1, pSupp0, pSupp, nLimit );
+ else
+ RetValue = Ivy_FastMapMerge( pSupp0, pSupp1, pSupp, nLimit );
+ if ( !RetValue )
+ {
+ pSupp->Delay++;
+ if ( fFaninParam == 2 )
+ {
+ pSupp->nSize = 2;
+ pSupp->pArray[0] = Ivy_ObjFaninId0(pObj);
+ pSupp->pArray[1] = Ivy_ObjFaninId1(pObj);
+ }
+ else if ( fFaninParam == 3 )
+ {
+ Ivy_Obj_t * pFanin0, * pFanin1, * pFaninA, * pFaninB;
+ pFanin0 = Ivy_ObjFanin0(pObj);
+ pFanin1 = Ivy_ObjFanin1(pObj);
+ pSupp->nSize = 0;
+ // process the first fanin
+ if ( Ivy_ObjIsNodeInt1(pFanin0) )
+ {
+ pFaninA = Ivy_ObjFanin0(pFanin0);
+ pFaninB = Ivy_ObjFanin1(pFanin0);
+ if ( Ivy_ObjIsNodeInt1(pFaninA) && Ivy_ObjIsNodeInt1(pFaninB) )
+ pSupp->pArray[pSupp->nSize++] = Ivy_ObjId(pFanin0);
+ else
+ {
+ pSupp->pArray[pSupp->nSize++] = Ivy_ObjId(pFaninA);
+ pSupp->pArray[pSupp->nSize++] = Ivy_ObjId(pFaninB);
+ }
+ }
+ else
+ pSupp->pArray[pSupp->nSize++] = Ivy_ObjId(pFanin0);
+ // process the second fanin
+ if ( Ivy_ObjIsNodeInt1(pFanin1) )
+ {
+ pFaninA = Ivy_ObjFanin0(pFanin1);
+ pFaninB = Ivy_ObjFanin1(pFanin1);
+ if ( Ivy_ObjIsNodeInt1(pFaninA) && Ivy_ObjIsNodeInt1(pFaninB) )
+ pSupp->pArray[pSupp->nSize++] = Ivy_ObjId(pFanin1);
+ else
+ {
+ pSupp->pArray[pSupp->nSize++] = Ivy_ObjId(pFaninA);
+ pSupp->pArray[pSupp->nSize++] = Ivy_ObjId(pFaninB);
+ }
+ }
+ else
+ pSupp->pArray[pSupp->nSize++] = Ivy_ObjId(pFanin1);
+ // sort the fanins
+ Vec_IntSelectSort( pSupp->pArray, pSupp->nSize );
+ pSupp->nSize = Vec_IntRemoveDup( pSupp->pArray, pSupp->nSize );
+ assert( pSupp->pArray[0] < pSupp->pArray[1] );
+ }
+ else if ( fFaninParam == 4 )
+ {
+ Ivy_Obj_t * pFanin0, * pFanin1, * pFaninA, * pFaninB;
+ pFanin0 = Ivy_ObjFanin0(pObj);
+ pFanin1 = Ivy_ObjFanin1(pObj);
+ pSupp->nSize = 0;
+ // consider the case when exactly one of them is internal
+ if ( Ivy_ObjIsNodeInt1(pFanin0) ^ Ivy_ObjIsNodeInt1(pFanin1) )
+ {
+ pSupp0 = Ivy_ObjSupp( pAig, Ivy_ObjFanin0(pObj) );
+ pSupp1 = Ivy_ObjSupp( pAig, Ivy_ObjFanin1(pObj) );
+ if ( Ivy_ObjIsNodeInt1(pFanin0) && pSupp0->nSize < nLimit )
+ {
+ pSupp->Delay = IVY_MAX( pSupp0->Delay, pSupp1->Delay + 1 );
+ pSupp1 = Ivy_ObjSupp( pAig, Ivy_ManConst1(pAig) );
+ pSupp1->pArray[0] = Ivy_ObjId(pFanin1);
+ // merge the cuts
+ RetValue = Ivy_FastMapMerge( pSupp0, pSupp1, pSupp, nLimit );
+ assert( RetValue );
+ assert( pSupp->nSize > 1 );
+ return;
+ }
+ if ( Ivy_ObjIsNodeInt1(pFanin1) && pSupp1->nSize < nLimit )
+ {
+ pSupp->Delay = IVY_MAX( pSupp1->Delay, pSupp0->Delay + 1 );
+ pSupp0 = Ivy_ObjSupp( pAig, Ivy_ManConst1(pAig) );
+ pSupp0->pArray[0] = Ivy_ObjId(pFanin0);
+ // merge the cuts
+ RetValue = Ivy_FastMapMerge( pSupp1, pSupp0, pSupp, nLimit );
+ assert( RetValue );
+ assert( pSupp->nSize > 1 );
+ return;
+ }
+ }
+ // process the first fanin
+ if ( Ivy_ObjIsNodeInt1(pFanin0) )
+ {
+ pFaninA = Ivy_ObjFanin0(pFanin0);
+ pFaninB = Ivy_ObjFanin1(pFanin0);
+ if ( Ivy_ObjIsNodeInt1(pFaninA) && Ivy_ObjIsNodeInt1(pFaninB) )
+ pSupp->pArray[pSupp->nSize++] = Ivy_ObjId(pFanin0);
+ else
+ {
+ pSupp->pArray[pSupp->nSize++] = Ivy_ObjId(pFaninA);
+ pSupp->pArray[pSupp->nSize++] = Ivy_ObjId(pFaninB);
+ }
+ }
+ else
+ pSupp->pArray[pSupp->nSize++] = Ivy_ObjId(pFanin0);
+ // process the second fanin
+ if ( Ivy_ObjIsNodeInt1(pFanin1) )
+ {
+ pFaninA = Ivy_ObjFanin0(pFanin1);
+ pFaninB = Ivy_ObjFanin1(pFanin1);
+ if ( Ivy_ObjIsNodeInt1(pFaninA) && Ivy_ObjIsNodeInt1(pFaninB) )
+ pSupp->pArray[pSupp->nSize++] = Ivy_ObjId(pFanin1);
+ else
+ {
+ pSupp->pArray[pSupp->nSize++] = Ivy_ObjId(pFaninA);
+ pSupp->pArray[pSupp->nSize++] = Ivy_ObjId(pFaninB);
+ }
+ }
+ else
+ pSupp->pArray[pSupp->nSize++] = Ivy_ObjId(pFanin1);
+ // sort the fanins
+ Vec_IntSelectSort( pSupp->pArray, pSupp->nSize );
+ pSupp->nSize = Vec_IntRemoveDup( pSupp->pArray, pSupp->nSize );
+ assert( pSupp->pArray[0] < pSupp->pArray[1] );
+ assert( pSupp->nSize > 1 );
+ }
+ }
+ assert( pSupp->Delay > 0 );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Merges two supports]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_FastMapMerge( Ivy_Supp_t * pSupp0, Ivy_Supp_t * pSupp1, Ivy_Supp_t * pSupp, int nLimit )
+{
+ int i, k, c;
+ assert( pSupp0->nSize >= pSupp1->nSize );
+ // the case of the largest cut sizes
+ if ( pSupp0->nSize == nLimit && pSupp1->nSize == nLimit )
+ {
+ for ( i = 0; i < pSupp0->nSize; i++ )
+ if ( pSupp0->pArray[i] != pSupp1->pArray[i] )
+ return 0;
+ for ( i = 0; i < pSupp0->nSize; i++ )
+ pSupp->pArray[i] = pSupp0->pArray[i];
+ pSupp->nSize = pSupp0->nSize;
+ return 1;
+ }
+ // the case when one of the cuts is the largest
+ if ( pSupp0->nSize == nLimit )
+ {
+ for ( i = 0; i < pSupp1->nSize; i++ )
+ {
+ for ( k = pSupp0->nSize - 1; k >= 0; k-- )
+ if ( pSupp0->pArray[k] == pSupp1->pArray[i] )
+ break;
+ if ( k == -1 ) // did not find
+ return 0;
+ }
+ for ( i = 0; i < pSupp0->nSize; i++ )
+ pSupp->pArray[i] = pSupp0->pArray[i];
+ pSupp->nSize = pSupp0->nSize;
+ return 1;
+ }
+
+ // compare two cuts with different numbers
+ i = k = 0;
+ for ( c = 0; c < nLimit; c++ )
+ {
+ if ( k == pSupp1->nSize )
+ {
+ if ( i == pSupp0->nSize )
+ {
+ pSupp->nSize = c;
+ return 1;
+ }
+ pSupp->pArray[c] = pSupp0->pArray[i++];
+ continue;
+ }
+ if ( i == pSupp0->nSize )
+ {
+ if ( k == pSupp1->nSize )
+ {
+ pSupp->nSize = c;
+ return 1;
+ }
+ pSupp->pArray[c] = pSupp1->pArray[k++];
+ continue;
+ }
+ if ( pSupp0->pArray[i] < pSupp1->pArray[k] )
+ {
+ pSupp->pArray[c] = pSupp0->pArray[i++];
+ continue;
+ }
+ if ( pSupp0->pArray[i] > pSupp1->pArray[k] )
+ {
+ pSupp->pArray[c] = pSupp1->pArray[k++];
+ continue;
+ }
+ pSupp->pArray[c] = pSupp0->pArray[i++];
+ k++;
+ }
+ if ( i < pSupp0->nSize || k < pSupp1->nSize )
+ return 0;
+ pSupp->nSize = c;
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates integer vector with the support of the node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FastMapReadSupp( Ivy_Man_t * pAig, Ivy_Obj_t * pObj, Vec_Int_t * vLeaves )
+{
+ Ivy_Supp_t * pSupp;
+ pSupp = Ivy_ObjSupp( pAig, pObj );
+ vLeaves->nCap = 8;
+ vLeaves->nSize = pSupp->nSize;
+ vLeaves->pArray = pSupp->pArray;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Sets the required times of the intermediate nodes.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FastMapRequired_rec( Ivy_Man_t * pAig, Ivy_Obj_t * pObj, Ivy_Obj_t * pRoot, int DelayR )
+{
+ Ivy_Supp_t * pSupp;
+ pSupp = Ivy_ObjSupp( pAig, pObj );
+ if ( pObj != pRoot && (pSupp->nRefs > 0 || Ivy_ObjIsCi(pObj)) )
+ return;
+ Ivy_FastMapRequired_rec( pAig, Ivy_ObjFanin0(pObj), pRoot, DelayR );
+ Ivy_FastMapRequired_rec( pAig, Ivy_ObjFanin1(pObj), pRoot, DelayR );
+// assert( pObj == pRoot || pSupp->DelayR == IVY_INFINITY );
+ pSupp->DelayR = DelayR;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes the required times for each node.]
+
+ Description [Sets reference counters for each node.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FastMapRequired( Ivy_Man_t * pAig, int Delay, int fSetInter )
+{
+ Vec_Vec_t * vLuts;
+ Vec_Ptr_t * vNodes;
+ Ivy_Obj_t * pObj;
+ Ivy_Supp_t * pSupp, * pSuppF;
+ int i, k, c;
+ // clean the required times
+ Ivy_ManForEachPi( pAig, pObj, i )
+ {
+ pSupp = Ivy_ObjSupp( pAig, pObj );
+ pSupp->DelayR = IVY_INFINITY;
+ pSupp->nRefs = 0;
+ }
+ Ivy_ManForEachNode( pAig, pObj, i )
+ {
+ pSupp = Ivy_ObjSupp( pAig, pObj );
+ pSupp->DelayR = IVY_INFINITY;
+ pSupp->nRefs = 0;
+ }
+ // set the required times of the POs
+ Ivy_ManForEachPo( pAig, pObj, i )
+ {
+ pSupp = Ivy_ObjSupp( pAig, Ivy_ObjFanin0(pObj) );
+ pSupp->DelayR = Delay;
+ pSupp->nRefs++;
+ }
+ // get the levelized nodes used in the mapping
+ vLuts = ((Ivy_SuppMan_t *)pAig->pData)->vLuts;
+ // propagate the required times
+ Vec_VecForEachLevelReverse( vLuts, vNodes, i )
+ Vec_PtrForEachEntry( vNodes, pObj, k )
+ {
+ pSupp = Ivy_ObjSupp( pAig, pObj );
+ assert( pSupp->nRefs > 0 );
+ for ( c = 0; c < pSupp->nSize; c++ )
+ {
+ pSuppF = Ivy_ObjSupp( pAig, Ivy_ManObj(pAig, pSupp->pArray[c]) );
+ pSuppF->DelayR = IVY_MIN( pSuppF->DelayR, pSupp->DelayR - 1 );
+ pSuppF->nRefs++;
+ }
+ }
+/*
+ // print out some of the required times
+ Ivy_ManForEachPi( pAig, pObj, i )
+ {
+ pSupp = Ivy_ObjSupp( pAig, pObj );
+ printf( "%d ", pSupp->DelayR );
+ }
+ printf( "\n" );
+*/
+
+ if ( fSetInter )
+ {
+ // set the required times of the intermediate nodes
+ Vec_VecForEachLevelReverse( vLuts, vNodes, i )
+ Vec_PtrForEachEntry( vNodes, pObj, k )
+ {
+ pSupp = Ivy_ObjSupp( pAig, pObj );
+ Ivy_FastMapRequired_rec( pAig, pObj, pObj, pSupp->DelayR );
+ }
+ // make sure that all required times are assigned
+ Ivy_ManForEachNode( pAig, pObj, i )
+ {
+ pSupp = Ivy_ObjSupp( pAig, pObj );
+ assert( pSupp->DelayR < IVY_INFINITY );
+ }
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs area recovery for each node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FastMapRecover( Ivy_Man_t * pAig, int nLimit )
+{
+ Vec_Ptr_t * vFront, * vFrontOld;
+ Ivy_Obj_t * pObj;
+ int i;
+ vFront = Vec_PtrAlloc( nLimit );
+ vFrontOld = Vec_PtrAlloc( nLimit );
+ Ivy_ManCleanTravId( pAig );
+ // iterate through all nodes in the topological order
+ Ivy_ManForEachNode( pAig, pObj, i )
+ Ivy_FastMapNodeRecover( pAig, pObj, nLimit, vFront, vFrontOld );
+ Vec_PtrFree( vFrontOld );
+ Vec_PtrFree( vFront );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes the delay of the cut rooted at this node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_FastMapNodeDelay( Ivy_Man_t * pAig, Ivy_Obj_t * pObj )
+{
+ Ivy_Supp_t * pSupp, * pSuppF;
+ int c, Delay = 0;
+ pSupp = Ivy_ObjSupp( pAig, pObj );
+ for ( c = 0; c < pSupp->nSize; c++ )
+ {
+ pSuppF = Ivy_ObjSupp( pAig, Ivy_ManObj(pAig, pSupp->pArray[c]) );
+ Delay = IVY_MAX( Delay, pSuppF->Delay );
+ }
+ return 1 + Delay;
+}
+
+
+/**function*************************************************************
+
+ synopsis [References the cut.]
+
+ description [This procedure is similar to the procedure NodeReclaim.]
+
+ sideeffects []
+
+ seealso []
+
+***********************************************************************/
+int Ivy_FastMapNodeRef( Ivy_Man_t * pAig, Ivy_Obj_t * pObj )
+{
+ Ivy_Supp_t * pSupp, * pSuppF;
+ Ivy_Obj_t * pNodeChild;
+ int aArea, i;
+ // start the area of this cut
+ aArea = 1;
+ // go through the children
+ pSupp = Ivy_ObjSupp( pAig, pObj );
+ assert( pSupp->nSize > 1 );
+ for ( i = 0; i < pSupp->nSize; i++ )
+ {
+ pNodeChild = Ivy_ManObj(pAig, pSupp->pArray[i]);
+ pSuppF = Ivy_ObjSupp( pAig, pNodeChild );
+ assert( pSuppF->nRefs >= 0 );
+ if ( pSuppF->nRefs++ > 0 )
+ continue;
+ if ( pSuppF->nSize == 1 )
+ continue;
+ aArea += Ivy_FastMapNodeRef( pAig, pNodeChild );
+ }
+ return aArea;
+}
+
+/**function*************************************************************
+
+ synopsis [Dereferences the cut.]
+
+ description [This procedure is similar to the procedure NodeRecusiveDeref.]
+
+ sideeffects []
+
+ seealso []
+
+***********************************************************************/
+int Ivy_FastMapNodeDeref( Ivy_Man_t * pAig, Ivy_Obj_t * pObj )
+{
+ Ivy_Supp_t * pSupp, * pSuppF;
+ Ivy_Obj_t * pNodeChild;
+ int aArea, i;
+ // start the area of this cut
+ aArea = 1;
+ // go through the children
+ pSupp = Ivy_ObjSupp( pAig, pObj );
+ assert( pSupp->nSize > 1 );
+ for ( i = 0; i < pSupp->nSize; i++ )
+ {
+ pNodeChild = Ivy_ManObj(pAig, pSupp->pArray[i]);
+ pSuppF = Ivy_ObjSupp( pAig, pNodeChild );
+ assert( pSuppF->nRefs > 0 );
+ if ( --pSuppF->nRefs > 0 )
+ continue;
+ if ( pSuppF->nSize == 1 )
+ continue;
+ aArea += Ivy_FastMapNodeDeref( pAig, pNodeChild );
+ }
+ return aArea;
+}
+
+/**function*************************************************************
+
+ synopsis [Computes the exact area associated with the cut.]
+
+ description []
+
+ sideeffects []
+
+ seealso []
+
+***********************************************************************/
+int Ivy_FastMapNodeAreaRefed( Ivy_Man_t * pAig, Ivy_Obj_t * pObj )
+{
+ Ivy_Supp_t * pSupp;
+ int aResult, aResult2;
+ if ( Ivy_ObjIsCi(pObj) )
+ return 0;
+ assert( Ivy_ObjIsNode(pObj) );
+ pSupp = Ivy_ObjSupp( pAig, pObj );
+ assert( pSupp->nRefs > 0 );
+ aResult = Ivy_FastMapNodeDeref( pAig, pObj );
+ aResult2 = Ivy_FastMapNodeRef( pAig, pObj );
+ assert( aResult == aResult2 );
+ return aResult;
+}
+
+/**function*************************************************************
+
+ synopsis [Computes the exact area associated with the cut.]
+
+ description []
+
+ sideeffects []
+
+ seealso []
+
+***********************************************************************/
+int Ivy_FastMapNodeAreaDerefed( Ivy_Man_t * pAig, Ivy_Obj_t * pObj )
+{
+ Ivy_Supp_t * pSupp;
+ int aResult, aResult2;
+ if ( Ivy_ObjIsCi(pObj) )
+ return 0;
+ assert( Ivy_ObjIsNode(pObj) );
+ pSupp = Ivy_ObjSupp( pAig, pObj );
+ assert( pSupp->nRefs == 0 );
+ aResult2 = Ivy_FastMapNodeRef( pAig, pObj );
+ aResult = Ivy_FastMapNodeDeref( pAig, pObj );
+ assert( aResult == aResult2 );
+ return aResult;
+}
+
+
+
+
+/**Function*************************************************************
+
+ Synopsis [Counts the number of nodes with no external fanout.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_FastMapCutCost( Ivy_Man_t * pAig, Vec_Ptr_t * vFront )
+{
+ Ivy_Supp_t * pSuppF;
+ Ivy_Obj_t * pFanin;
+ int i, Counter = 0;
+ Vec_PtrForEachEntry( vFront, pFanin, i )
+ {
+ pSuppF = Ivy_ObjSupp( pAig, pFanin );
+ if ( pSuppF->nRefs == 0 )
+ Counter++;
+ }
+ return Counter;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs area recovery for each node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FastMapMark_rec( Ivy_Man_t * pAig, Ivy_Obj_t * pObj )
+{
+ if ( Ivy_ObjIsTravIdCurrent(pAig, pObj) )
+ return;
+ assert( Ivy_ObjIsNode(pObj) );
+ Ivy_FastMapMark_rec( pAig, Ivy_ObjFanin0(pObj) );
+ Ivy_FastMapMark_rec( pAig, Ivy_ObjFanin1(pObj) );
+ Ivy_ObjSetTravIdCurrent(pAig, pObj);
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns 1 if the number of fanins will grow.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_FastMapNodeWillGrow( Ivy_Man_t * pAig, Ivy_Obj_t * pObj )
+{
+ Ivy_Obj_t * pFanin0, * pFanin1;
+ assert( Ivy_ObjIsNode(pObj) );
+ pFanin0 = Ivy_ObjFanin0(pObj);
+ pFanin1 = Ivy_ObjFanin1(pObj);
+ return !Ivy_ObjIsTravIdCurrent(pAig, pFanin0) && !Ivy_ObjIsTravIdCurrent(pAig, pFanin1);
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns the increase in the number of fanins with no external refs.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_FastMapNodeFaninCost( Ivy_Man_t * pAig, Ivy_Obj_t * pObj )
+{
+ Ivy_Supp_t * pSuppF;
+ Ivy_Obj_t * pFanin;
+ int Counter = 0;
+ assert( Ivy_ObjIsNode(pObj) );
+ // check if the node has external refs
+ pSuppF = Ivy_ObjSupp( pAig, pObj );
+ if ( pSuppF->nRefs == 0 )
+ Counter--;
+ // increment the number of fanins without external refs
+ pFanin = Ivy_ObjFanin0(pObj);
+ pSuppF = Ivy_ObjSupp( pAig, pFanin );
+ if ( !Ivy_ObjIsTravIdCurrent(pAig, pFanin) && pSuppF->nRefs == 0 )
+ Counter++;
+ // increment the number of fanins without external refs
+ pFanin = Ivy_ObjFanin1(pObj);
+ pSuppF = Ivy_ObjSupp( pAig, pFanin );
+ if ( !Ivy_ObjIsTravIdCurrent(pAig, pFanin) && pSuppF->nRefs == 0 )
+ Counter++;
+ return Counter;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Updates the frontier.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FastMapNodeFaninUpdate( Ivy_Man_t * pAig, Ivy_Obj_t * pObj, Vec_Ptr_t * vFront )
+{
+ Ivy_Obj_t * pFanin;
+ assert( Ivy_ObjIsNode(pObj) );
+ Vec_PtrRemove( vFront, pObj );
+ pFanin = Ivy_ObjFanin0(pObj);
+ if ( !Ivy_ObjIsTravIdCurrent(pAig, pFanin) )
+ {
+ Ivy_ObjSetTravIdCurrent(pAig, pFanin);
+ Vec_PtrPush( vFront, pFanin );
+ }
+ pFanin = Ivy_ObjFanin1(pObj);
+ if ( !Ivy_ObjIsTravIdCurrent(pAig, pFanin) )
+ {
+ Ivy_ObjSetTravIdCurrent(pAig, pFanin);
+ Vec_PtrPush( vFront, pFanin );
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Compacts the number of external refs.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_FastMapNodeFaninCompact0( Ivy_Man_t * pAig, Ivy_Obj_t * pObj, int nLimit, Vec_Ptr_t * vFront )
+{
+ Ivy_Obj_t * pFanin;
+ int i;
+ Vec_PtrForEachEntry( vFront, pFanin, i )
+ {
+ if ( Ivy_ObjIsCi(pFanin) )
+ continue;
+ if ( Ivy_FastMapNodeWillGrow(pAig, pFanin) )
+ continue;
+ if ( Ivy_FastMapNodeFaninCost(pAig, pFanin) <= 0 )
+ {
+ Ivy_FastMapNodeFaninUpdate( pAig, pFanin, vFront );
+ return 1;
+ }
+ }
+ return 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Compacts the number of external refs.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_FastMapNodeFaninCompact1( Ivy_Man_t * pAig, Ivy_Obj_t * pObj, int nLimit, Vec_Ptr_t * vFront )
+{
+ Ivy_Obj_t * pFanin;
+ int i;
+ Vec_PtrForEachEntry( vFront, pFanin, i )
+ {
+ if ( Ivy_ObjIsCi(pFanin) )
+ continue;
+ if ( Ivy_FastMapNodeFaninCost(pAig, pFanin) < 0 )
+ {
+ Ivy_FastMapNodeFaninUpdate( pAig, pFanin, vFront );
+ return 1;
+ }
+ }
+ return 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Compacts the number of external refs.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_FastMapNodeFaninCompact2( Ivy_Man_t * pAig, Ivy_Obj_t * pObj, int nLimit, Vec_Ptr_t * vFront )
+{
+ Ivy_Obj_t * pFanin;
+ int i;
+ Vec_PtrForEachEntry( vFront, pFanin, i )
+ {
+ if ( Ivy_ObjIsCi(pFanin) )
+ continue;
+ if ( Ivy_FastMapNodeFaninCost(pAig, pFanin) <= 0 )
+ {
+ Ivy_FastMapNodeFaninUpdate( pAig, pFanin, vFront );
+ return 1;
+ }
+ }
+ return 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Compacts the number of external refs.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_FastMapNodeFaninCompact_int( Ivy_Man_t * pAig, Ivy_Obj_t * pObj, int nLimit, Vec_Ptr_t * vFront )
+{
+ if ( Ivy_FastMapNodeFaninCompact0(pAig, pObj, nLimit, vFront) )
+ return 1;
+ if ( Vec_PtrSize(vFront) < nLimit && Ivy_FastMapNodeFaninCompact1(pAig, pObj, nLimit, vFront) )
+ return 1;
+ if ( Vec_PtrSize(vFront) < nLimit && Ivy_FastMapNodeFaninCompact2(pAig, pObj, nLimit, vFront) )
+ return 1;
+ assert( Vec_PtrSize(vFront) <= nLimit );
+ return 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Compacts the number of external refs.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FastMapNodeFaninCompact( Ivy_Man_t * pAig, Ivy_Obj_t * pObj, int nLimit, Vec_Ptr_t * vFront )
+{
+ while ( Ivy_FastMapNodeFaninCompact_int( pAig, pObj, nLimit, vFront ) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Prepares node mapping.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FastMapNodePrepare( Ivy_Man_t * pAig, Ivy_Obj_t * pObj, int nLimit, Vec_Ptr_t * vFront, Vec_Ptr_t * vFrontOld )
+{
+ Ivy_Supp_t * pSupp;
+ Ivy_Obj_t * pFanin;
+ int i;
+ pSupp = Ivy_ObjSupp( pAig, pObj );
+ // expand the cut downwards from the given place
+ Vec_PtrClear( vFront );
+ Vec_PtrClear( vFrontOld );
+ Ivy_ManIncrementTravId( pAig );
+ for ( i = 0; i < pSupp->nSize; i++ )
+ {
+ pFanin = Ivy_ManObj(pAig, pSupp->pArray[i]);
+ Vec_PtrPush( vFront, pFanin );
+ Vec_PtrPush( vFrontOld, pFanin );
+ Ivy_ObjSetTravIdCurrent( pAig, pFanin );
+ }
+ // mark the nodes in the cone
+ Ivy_FastMapMark_rec( pAig, pObj );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Updates the frontier.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FastMapNodeUpdate( Ivy_Man_t * pAig, Ivy_Obj_t * pObj, Vec_Ptr_t * vFront )
+{
+ Ivy_Supp_t * pSupp;
+ Ivy_Obj_t * pFanin;
+ int i;
+ pSupp = Ivy_ObjSupp( pAig, pObj );
+ // deref node's cut
+ Ivy_FastMapNodeDeref( pAig, pObj );
+ // update the node's cut
+ pSupp->nSize = Vec_PtrSize(vFront);
+ Vec_PtrForEachEntry( vFront, pFanin, i )
+ pSupp->pArray[i] = pFanin->Id;
+ // ref the new cut
+ Ivy_FastMapNodeRef( pAig, pObj );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs area recovery for each node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FastMapNodeRecover2( Ivy_Man_t * pAig, Ivy_Obj_t * pObj, int nLimit, Vec_Ptr_t * vFront, Vec_Ptr_t * vFrontOld )
+{
+ Ivy_Supp_t * pSupp;
+ int CostBef, CostAft;
+ int AreaBef, AreaAft;
+ pSupp = Ivy_ObjSupp( pAig, pObj );
+// if ( pSupp->nRefs == 0 )
+// return;
+ if ( pSupp->nRefs == 0 )
+ AreaBef = Ivy_FastMapNodeAreaDerefed( pAig, pObj );
+ else
+ AreaBef = Ivy_FastMapNodeAreaRefed( pAig, pObj );
+ // get the area
+ if ( AreaBef == 1 )
+ return;
+
+ if ( pSupp->nRefs == 0 )
+ {
+ pSupp->nRefs = 1000000;
+ Ivy_FastMapNodeRef( pAig, pObj );
+ }
+ // the cut is non-trivial
+ Ivy_FastMapNodePrepare( pAig, pObj, nLimit, vFront, vFrontOld );
+ // iteratively modify the cut
+ CostBef = Ivy_FastMapCutCost( pAig, vFront );
+ Ivy_FastMapNodeFaninCompact( pAig, pObj, nLimit, vFront );
+ CostAft = Ivy_FastMapCutCost( pAig, vFront );
+ assert( CostBef >= CostAft );
+ // update the node
+ Ivy_FastMapNodeUpdate( pAig, pObj, vFront );
+ // get the new area
+ AreaAft = Ivy_FastMapNodeAreaRefed( pAig, pObj );
+ if ( AreaAft > AreaBef )
+ {
+ Ivy_FastMapNodeUpdate( pAig, pObj, vFrontOld );
+ AreaAft = Ivy_FastMapNodeAreaRefed( pAig, pObj );
+ assert( AreaAft == AreaBef );
+ }
+ if ( pSupp->nRefs == 1000000 )
+ {
+ pSupp->nRefs = 0;
+ Ivy_FastMapNodeDeref( pAig, pObj );
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs area recovery for each node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FastMapNodeRecover( Ivy_Man_t * pAig, Ivy_Obj_t * pObj, int nLimit, Vec_Ptr_t * vFront, Vec_Ptr_t * vFrontOld )
+{
+ Ivy_Supp_t * pSupp;
+ int CostBef, CostAft;
+ int AreaBef, AreaAft;
+ int DelayOld;
+ pSupp = Ivy_ObjSupp( pAig, pObj );
+ DelayOld = pSupp->Delay = Ivy_FastMapNodeDelay( pAig, pObj );
+ assert( pSupp->Delay <= pSupp->DelayR );
+ if ( pSupp->nRefs == 0 )
+ return;
+ // get the area
+ AreaBef = Ivy_FastMapNodeAreaRefed( pAig, pObj );
+// if ( AreaBef == 1 )
+// return;
+ if ( pObj->Id == 102 )
+ {
+ int x = 0;
+ }
+ // the cut is non-trivial
+ Ivy_FastMapNodePrepare( pAig, pObj, nLimit, vFront, vFrontOld );
+ // iteratively modify the cut
+ Ivy_FastMapNodeDeref( pAig, pObj );
+ CostBef = Ivy_FastMapCutCost( pAig, vFront );
+ Ivy_FastMapNodeFaninCompact( pAig, pObj, nLimit, vFront );
+ CostAft = Ivy_FastMapCutCost( pAig, vFront );
+ Ivy_FastMapNodeRef( pAig, pObj );
+ assert( CostBef >= CostAft );
+ // update the node
+ Ivy_FastMapNodeUpdate( pAig, pObj, vFront );
+ pSupp->Delay = Ivy_FastMapNodeDelay( pAig, pObj );
+ // get the new area
+ AreaAft = Ivy_FastMapNodeAreaRefed( pAig, pObj );
+ if ( AreaAft > AreaBef || pSupp->Delay > pSupp->DelayR )
+ {
+ Ivy_FastMapNodeUpdate( pAig, pObj, vFrontOld );
+ AreaAft = Ivy_FastMapNodeAreaRefed( pAig, pObj );
+ assert( AreaAft == AreaBef );
+ pSupp->Delay = DelayOld;
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs area recovery for each node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FastMapNodeRecover4( Ivy_Man_t * pAig, Ivy_Obj_t * pObj, int nLimit, Vec_Ptr_t * vFront, Vec_Ptr_t * vFrontOld )
+{
+ Ivy_Supp_t * pSupp;
+ int CostBef, CostAft;
+ int AreaBef, AreaAft;
+ int DelayOld;
+ pSupp = Ivy_ObjSupp( pAig, pObj );
+ DelayOld = pSupp->Delay = Ivy_FastMapNodeDelay( pAig, pObj );
+ assert( pSupp->Delay <= pSupp->DelayR );
+// if ( pSupp->nRefs == 0 )
+// return;
+// AreaBef = Ivy_FastMapNodeAreaRefed( pAig, pObj );
+ // get the area
+ if ( pSupp->nRefs == 0 )
+ AreaBef = Ivy_FastMapNodeAreaDerefed( pAig, pObj );
+ else
+ AreaBef = Ivy_FastMapNodeAreaRefed( pAig, pObj );
+ if ( AreaBef == 1 )
+ return;
+
+ if ( pSupp->nRefs == 0 )
+ {
+ pSupp->nRefs = 1000000;
+ Ivy_FastMapNodeRef( pAig, pObj );
+ }
+ // the cut is non-trivial
+ Ivy_FastMapNodePrepare( pAig, pObj, nLimit, vFront, vFrontOld );
+ // iteratively modify the cut
+ CostBef = Ivy_FastMapCutCost( pAig, vFront );
+ Ivy_FastMapNodeFaninCompact( pAig, pObj, nLimit, vFront );
+ CostAft = Ivy_FastMapCutCost( pAig, vFront );
+ assert( CostBef >= CostAft );
+ // update the node
+ Ivy_FastMapNodeUpdate( pAig, pObj, vFront );
+ pSupp->Delay = Ivy_FastMapNodeDelay( pAig, pObj );
+ // get the new area
+ AreaAft = Ivy_FastMapNodeAreaRefed( pAig, pObj );
+ if ( AreaAft > AreaBef || pSupp->Delay > pSupp->DelayR )
+ {
+ Ivy_FastMapNodeUpdate( pAig, pObj, vFrontOld );
+ AreaAft = Ivy_FastMapNodeAreaRefed( pAig, pObj );
+ assert( AreaAft == AreaBef );
+ pSupp->Delay = DelayOld;
+ }
+ if ( pSupp->nRefs == 1000000 )
+ {
+ pSupp->nRefs = 0;
+ Ivy_FastMapNodeDeref( pAig, pObj );
+ }
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/ivy/ivyFraig.c b/src/aig/ivy/ivyFraig.c
new file mode 100644
index 00000000..4079b6ed
--- /dev/null
+++ b/src/aig/ivy/ivyFraig.c
@@ -0,0 +1,2760 @@
+/**CFile****************************************************************
+
+ FileName [ivyFraig.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [And-Inverter Graph package.]
+
+ Synopsis [Functional reduction of AIGs]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - May 11, 2006.]
+
+ Revision [$Id: ivyFraig.c,v 1.00 2006/05/11 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "satSolver.h"
+#include "extra.h"
+#include "ivy.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+typedef struct Ivy_FraigMan_t_ Ivy_FraigMan_t;
+typedef struct Ivy_FraigSim_t_ Ivy_FraigSim_t;
+typedef struct Ivy_FraigList_t_ Ivy_FraigList_t;
+
+struct Ivy_FraigList_t_
+{
+ Ivy_Obj_t * pHead;
+ Ivy_Obj_t * pTail;
+ int nItems;
+};
+
+struct Ivy_FraigSim_t_
+{
+ int Type;
+ Ivy_FraigSim_t * pNext;
+ Ivy_FraigSim_t * pFanin0;
+ Ivy_FraigSim_t * pFanin1;
+ unsigned pData[0];
+};
+
+struct Ivy_FraigMan_t_
+{
+ // general info
+ Ivy_FraigParams_t * pParams; // various parameters
+ // temporary backtrack limits because "sint64" cannot be defined in Ivy_FraigParams_t ...
+ sint64 nBTLimitGlobal; // global limit on the number of backtracks
+ sint64 nInsLimitGlobal;// global limit on the number of clause inspects
+ // AIG manager
+ Ivy_Man_t * pManAig; // the starting AIG manager
+ Ivy_Man_t * pManFraig; // the final AIG manager
+ // simulation information
+ int nSimWords; // the number of words
+ char * pSimWords; // the simulation info
+ Ivy_FraigSim_t * pSimStart; // the list of simulation info for internal nodes
+ // counter example storage
+ int nPatWords; // the number of words in the counter example
+ unsigned * pPatWords; // the counter example
+ int * pPatScores; // the scores of each pattern
+ // equivalence classes
+ Ivy_FraigList_t lClasses; // equivalence classes
+ Ivy_FraigList_t lCand; // candidatates
+ int nPairs; // the number of pairs of nodes
+ // equivalence checking
+ sat_solver * pSat; // SAT solver
+ int nSatVars; // the number of variables currently used
+ Vec_Ptr_t * vPiVars; // the PIs of the cone used
+ // other
+ ProgressBar * pProgress;
+ // statistics
+ int nSimRounds;
+ int nNodesMiter;
+ int nClassesZero;
+ int nClassesBeg;
+ int nClassesEnd;
+ int nPairsBeg;
+ int nPairsEnd;
+ int nSatCalls;
+ int nSatCallsSat;
+ int nSatCallsUnsat;
+ int nSatProof;
+ int nSatFails;
+ int nSatFailsReal;
+ // runtime
+ int timeSim;
+ int timeTrav;
+ int timeSat;
+ int timeSatUnsat;
+ int timeSatSat;
+ int timeSatFail;
+ int timeRef;
+ int timeTotal;
+ int time1;
+ int time2;
+};
+
+typedef struct Prove_ParamsStruct_t_ Prove_Params_t;
+struct Prove_ParamsStruct_t_
+{
+ // general parameters
+ int fUseFraiging; // enables fraiging
+ int fUseRewriting; // enables rewriting
+ int fUseBdds; // enables BDD construction when other methods fail
+ int fVerbose; // prints verbose stats
+ // iterations
+ int nItersMax; // the number of iterations
+ // mitering
+ int nMiteringLimitStart; // starting mitering limit
+ float nMiteringLimitMulti; // multiplicative coefficient to increase the limit in each iteration
+ // rewriting
+ int nRewritingLimitStart; // the number of rewriting iterations
+ float nRewritingLimitMulti; // multiplicative coefficient to increase the limit in each iteration
+ // fraiging
+ int nFraigingLimitStart; // starting backtrack(conflict) limit
+ float nFraigingLimitMulti; // multiplicative coefficient to increase the limit in each iteration
+ // last-gasp BDD construction
+ int nBddSizeLimit; // the number of BDD nodes when construction is aborted
+ int fBddReorder; // enables dynamic BDD variable reordering
+ // last-gasp mitering
+ int nMiteringLimitLast; // final mitering limit
+ // global SAT solver limits
+ sint64 nTotalBacktrackLimit; // global limit on the number of backtracks
+ sint64 nTotalInspectLimit; // global limit on the number of clause inspects
+ // global resources applied
+ sint64 nTotalBacktracksMade; // the total number of backtracks made
+ sint64 nTotalInspectsMade; // the total number of inspects made
+};
+
+static inline Ivy_FraigSim_t * Ivy_ObjSim( Ivy_Obj_t * pObj ) { return (Ivy_FraigSim_t *)pObj->pFanout; }
+static inline Ivy_Obj_t * Ivy_ObjClassNodeLast( Ivy_Obj_t * pObj ) { return pObj->pNextFan0; }
+static inline Ivy_Obj_t * Ivy_ObjClassNodeRepr( Ivy_Obj_t * pObj ) { return pObj->pNextFan0; }
+static inline Ivy_Obj_t * Ivy_ObjClassNodeNext( Ivy_Obj_t * pObj ) { return pObj->pNextFan1; }
+static inline Ivy_Obj_t * Ivy_ObjNodeHashNext( Ivy_Obj_t * pObj ) { return pObj->pPrevFan0; }
+static inline Ivy_Obj_t * Ivy_ObjEquivListNext( Ivy_Obj_t * pObj ) { return pObj->pPrevFan0; }
+static inline Ivy_Obj_t * Ivy_ObjEquivListPrev( Ivy_Obj_t * pObj ) { return pObj->pPrevFan1; }
+static inline Ivy_Obj_t * Ivy_ObjFraig( Ivy_Obj_t * pObj ) { return pObj->pEquiv; }
+static inline int Ivy_ObjSatNum( Ivy_Obj_t * pObj ) { return (int)pObj->pNextFan0; }
+static inline Vec_Ptr_t * Ivy_ObjFaninVec( Ivy_Obj_t * pObj ) { return (Vec_Ptr_t *)pObj->pNextFan1; }
+
+static inline void Ivy_ObjSetSim( Ivy_Obj_t * pObj, Ivy_FraigSim_t * pSim ) { pObj->pFanout = (Ivy_Obj_t *)pSim; }
+static inline void Ivy_ObjSetClassNodeLast( Ivy_Obj_t * pObj, Ivy_Obj_t * pLast ) { pObj->pNextFan0 = pLast; }
+static inline void Ivy_ObjSetClassNodeRepr( Ivy_Obj_t * pObj, Ivy_Obj_t * pRepr ) { pObj->pNextFan0 = pRepr; }
+static inline void Ivy_ObjSetClassNodeNext( Ivy_Obj_t * pObj, Ivy_Obj_t * pNext ) { pObj->pNextFan1 = pNext; }
+static inline void Ivy_ObjSetNodeHashNext( Ivy_Obj_t * pObj, Ivy_Obj_t * pNext ) { pObj->pPrevFan0 = pNext; }
+static inline void Ivy_ObjSetEquivListNext( Ivy_Obj_t * pObj, Ivy_Obj_t * pNext ) { pObj->pPrevFan0 = pNext; }
+static inline void Ivy_ObjSetEquivListPrev( Ivy_Obj_t * pObj, Ivy_Obj_t * pPrev ) { pObj->pPrevFan1 = pPrev; }
+static inline void Ivy_ObjSetFraig( Ivy_Obj_t * pObj, Ivy_Obj_t * pNode ) { pObj->pEquiv = pNode; }
+static inline void Ivy_ObjSetSatNum( Ivy_Obj_t * pObj, int Num ) { pObj->pNextFan0 = (Ivy_Obj_t *)Num; }
+static inline void Ivy_ObjSetFaninVec( Ivy_Obj_t * pObj, Vec_Ptr_t * vFanins ) { pObj->pNextFan1 = (Ivy_Obj_t *)vFanins; }
+
+static inline unsigned Ivy_ObjRandomSim() { return (rand() << 24) ^ (rand() << 12) ^ rand(); }
+
+// iterate through equivalence classes
+#define Ivy_FraigForEachEquivClass( pList, pEnt ) \
+ for ( pEnt = pList; \
+ pEnt; \
+ pEnt = Ivy_ObjEquivListNext(pEnt) )
+#define Ivy_FraigForEachEquivClassSafe( pList, pEnt, pEnt2 ) \
+ for ( pEnt = pList, \
+ pEnt2 = pEnt? Ivy_ObjEquivListNext(pEnt): NULL; \
+ pEnt; \
+ pEnt = pEnt2, \
+ pEnt2 = pEnt? Ivy_ObjEquivListNext(pEnt): NULL )
+// iterate through nodes in one class
+#define Ivy_FraigForEachClassNode( pClass, pEnt ) \
+ for ( pEnt = pClass; \
+ pEnt; \
+ pEnt = Ivy_ObjClassNodeNext(pEnt) )
+// iterate through nodes in the hash table
+#define Ivy_FraigForEachBinNode( pBin, pEnt ) \
+ for ( pEnt = pBin; \
+ pEnt; \
+ pEnt = Ivy_ObjNodeHashNext(pEnt) )
+
+static Ivy_FraigMan_t * Ivy_FraigStart( Ivy_Man_t * pManAig, Ivy_FraigParams_t * pParams );
+static Ivy_FraigMan_t * Ivy_FraigStartSimple( Ivy_Man_t * pManAig, Ivy_FraigParams_t * pParams );
+static Ivy_Man_t * Ivy_FraigPerform_int( Ivy_Man_t * pManAig, Ivy_FraigParams_t * pParams, sint64 nBTLimitGlobal, sint64 nInsLimitGlobal, sint64 * pnSatConfs, sint64 * pnSatInspects );
+static void Ivy_FraigPrint( Ivy_FraigMan_t * p );
+static void Ivy_FraigStop( Ivy_FraigMan_t * p );
+static void Ivy_FraigSimulate( Ivy_FraigMan_t * p );
+static void Ivy_FraigSweep( Ivy_FraigMan_t * p );
+static Ivy_Obj_t * Ivy_FraigAnd( Ivy_FraigMan_t * p, Ivy_Obj_t * pObjOld );
+static int Ivy_FraigNodesAreEquiv( Ivy_FraigMan_t * p, Ivy_Obj_t * pObj0, Ivy_Obj_t * pObj1 );
+static int Ivy_FraigNodeIsConst( Ivy_FraigMan_t * p, Ivy_Obj_t * pObj );
+static void Ivy_FraigNodeAddToSolver( Ivy_FraigMan_t * p, Ivy_Obj_t * pObj0, Ivy_Obj_t * pObj1 );
+static int Ivy_FraigSetActivityFactors( Ivy_FraigMan_t * p, Ivy_Obj_t * pOld, Ivy_Obj_t * pNew );
+static void Ivy_FraigAddToPatScores( Ivy_FraigMan_t * p, Ivy_Obj_t * pClass, Ivy_Obj_t * pClassNew );
+static int Ivy_FraigMiterStatus( Ivy_Man_t * pMan );
+static void Ivy_FraigMiterProve( Ivy_FraigMan_t * p );
+static void Ivy_FraigMiterPrint( Ivy_Man_t * pNtk, char * pString, int clk, int fVerbose );
+static int * Ivy_FraigCreateModel( Ivy_FraigMan_t * p );
+
+static int Ivy_FraigNodesAreEquivBdd( Ivy_Obj_t * pObj1, Ivy_Obj_t * pObj2 );
+
+static sint64 s_nBTLimitGlobal = 0;
+static sint64 s_nInsLimitGlobal = 0;
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Sets the default solving parameters.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FraigParamsDefault( Ivy_FraigParams_t * pParams )
+{
+ memset( pParams, 0, sizeof(Ivy_FraigParams_t) );
+ pParams->nSimWords = 32; // the number of words in the simulation info
+ pParams->dSimSatur = 0.005; // the ratio of refined classes when saturation is reached
+ pParams->fPatScores = 0; // enables simulation pattern scoring
+ pParams->MaxScore = 25; // max score after which resimulation is used
+ pParams->fDoSparse = 1; // skips sparse functions
+// pParams->dActConeRatio = 0.05; // the ratio of cone to be bumped
+// pParams->dActConeBumpMax = 5.0; // the largest bump of activity
+ pParams->dActConeRatio = 0.3; // the ratio of cone to be bumped
+ pParams->dActConeBumpMax = 10.0; // the largest bump of activity
+
+ pParams->nBTLimitNode = 100; // conflict limit at a node
+ pParams->nBTLimitMiter = 500000; // conflict limit at an output
+// pParams->nBTLimitGlobal = 0; // conflict limit global
+// pParams->nInsLimitGlobal = 0; // inspection limit global
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs combinational equivalence checking for the miter.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_FraigProve( Ivy_Man_t ** ppManAig, void * pPars )
+{
+ Prove_Params_t * pParams = pPars;
+ Ivy_FraigParams_t Params, * pIvyParams = &Params;
+ Ivy_Man_t * pManAig, * pManTemp;
+ int RetValue, nIter, clk, timeStart = clock();//, Counter;
+ sint64 nSatConfs, nSatInspects;
+
+ // start the network and parameters
+ pManAig = *ppManAig;
+ Ivy_FraigParamsDefault( pIvyParams );
+ pIvyParams->fVerbose = pParams->fVerbose;
+ pIvyParams->fProve = 1;
+
+ if ( pParams->fVerbose )
+ {
+ printf( "RESOURCE LIMITS: Iterations = %d. Rewriting = %s. Fraiging = %s.\n",
+ pParams->nItersMax, pParams->fUseRewriting? "yes":"no", pParams->fUseFraiging? "yes":"no" );
+ printf( "Miter = %d (%3.1f). Rwr = %d (%3.1f). Fraig = %d (%3.1f). Last = %d.\n",
+ pParams->nMiteringLimitStart, pParams->nMiteringLimitMulti,
+ pParams->nRewritingLimitStart, pParams->nRewritingLimitMulti,
+ pParams->nFraigingLimitStart, pParams->nFraigingLimitMulti, pParams->nMiteringLimitLast );
+ }
+
+ // if SAT only, solve without iteration
+ if ( !pParams->fUseRewriting && !pParams->fUseFraiging )
+ {
+ clk = clock();
+ pIvyParams->nBTLimitMiter = pParams->nMiteringLimitLast / Ivy_ManPoNum(pManAig);
+ pManAig = Ivy_FraigMiter( pManTemp = pManAig, pIvyParams ); Ivy_ManStop( pManTemp );
+ RetValue = Ivy_FraigMiterStatus( pManAig );
+ Ivy_FraigMiterPrint( pManAig, "SAT solving", clk, pParams->fVerbose );
+ *ppManAig = pManAig;
+ return RetValue;
+ }
+
+ if ( Ivy_ManNodeNum(pManAig) < 500 )
+ {
+ // run the first mitering
+ clk = clock();
+ pIvyParams->nBTLimitMiter = pParams->nMiteringLimitStart / Ivy_ManPoNum(pManAig);
+ pManAig = Ivy_FraigMiter( pManTemp = pManAig, pIvyParams ); Ivy_ManStop( pManTemp );
+ RetValue = Ivy_FraigMiterStatus( pManAig );
+ Ivy_FraigMiterPrint( pManAig, "SAT solving", clk, pParams->fVerbose );
+ if ( RetValue >= 0 )
+ {
+ *ppManAig = pManAig;
+ return RetValue;
+ }
+ }
+
+ // check the current resource limits
+ RetValue = -1;
+ for ( nIter = 0; nIter < pParams->nItersMax; nIter++ )
+ {
+ if ( pParams->fVerbose )
+ {
+ printf( "ITERATION %2d : Confs = %6d. FraigBTL = %3d. \n", nIter+1,
+ (int)(pParams->nMiteringLimitStart * pow(pParams->nMiteringLimitMulti,nIter)),
+ (int)(pParams->nFraigingLimitStart * pow(pParams->nFraigingLimitMulti,nIter)) );
+ fflush( stdout );
+ }
+
+ // try rewriting
+ if ( pParams->fUseRewriting )
+ { // bug in Ivy_NodeFindCutsAll() when leaves are identical!
+/*
+ clk = clock();
+ Counter = (int)(pParams->nRewritingLimitStart * pow(pParams->nRewritingLimitMulti,nIter));
+ pManAig = Ivy_ManRwsat( pManAig, 0 );
+ RetValue = Ivy_FraigMiterStatus( pManAig );
+ Ivy_FraigMiterPrint( pManAig, "Rewriting ", clk, pParams->fVerbose );
+*/
+ }
+ if ( RetValue >= 0 )
+ break;
+
+ // try fraiging followed by mitering
+ if ( pParams->fUseFraiging )
+ {
+ clk = clock();
+ pIvyParams->nBTLimitNode = (int)(pParams->nFraigingLimitStart * pow(pParams->nFraigingLimitMulti,nIter));
+ pIvyParams->nBTLimitMiter = (int)(pParams->nMiteringLimitStart * pow(pParams->nMiteringLimitMulti,nIter)) / Ivy_ManPoNum(pManAig);
+ pManAig = Ivy_FraigPerform_int( pManTemp = pManAig, pIvyParams, pParams->nTotalBacktrackLimit, pParams->nTotalInspectLimit, &nSatConfs, &nSatInspects ); Ivy_ManStop( pManTemp );
+ RetValue = Ivy_FraigMiterStatus( pManAig );
+ Ivy_FraigMiterPrint( pManAig, "Fraiging ", clk, pParams->fVerbose );
+ }
+ if ( RetValue >= 0 )
+ break;
+
+ // add to the number of backtracks and inspects
+ pParams->nTotalBacktracksMade += nSatConfs;
+ pParams->nTotalInspectsMade += nSatInspects;
+ // check if global resource limit is reached
+ if ( (pParams->nTotalBacktrackLimit && pParams->nTotalBacktracksMade >= pParams->nTotalBacktrackLimit) ||
+ (pParams->nTotalInspectLimit && pParams->nTotalInspectsMade >= pParams->nTotalInspectLimit) )
+ {
+ printf( "Reached global limit on conflicts/inspects. Quitting.\n" );
+ *ppManAig = pManAig;
+ return -1;
+ }
+ }
+
+ if ( RetValue < 0 )
+ {
+ if ( pParams->fVerbose )
+ {
+ printf( "Attempting SAT with conflict limit %d ...\n", pParams->nMiteringLimitLast );
+ fflush( stdout );
+ }
+ clk = clock();
+ pIvyParams->nBTLimitMiter = pParams->nMiteringLimitLast / Ivy_ManPoNum(pManAig);
+ if ( pParams->nTotalBacktrackLimit )
+ s_nBTLimitGlobal = pParams->nTotalBacktrackLimit - pParams->nTotalBacktracksMade;
+ if ( pParams->nTotalInspectLimit )
+ s_nInsLimitGlobal = pParams->nTotalInspectLimit - pParams->nTotalInspectsMade;
+ pManAig = Ivy_FraigMiter( pManTemp = pManAig, pIvyParams ); Ivy_ManStop( pManTemp );
+ s_nBTLimitGlobal = 0;
+ s_nInsLimitGlobal = 0;
+ RetValue = Ivy_FraigMiterStatus( pManAig );
+ Ivy_FraigMiterPrint( pManAig, "SAT solving", clk, pParams->fVerbose );
+ // make sure that the sover never returns "undecided" when infinite resource limits are set
+ if( RetValue == -1 && pParams->nTotalInspectLimit == 0 &&
+ pParams->nTotalBacktrackLimit == 0 )
+ {
+ extern void Prove_ParamsPrint( Prove_Params_t * pParams );
+ Prove_ParamsPrint( pParams );
+ printf("ERROR: ABC has returned \"undecided\" in spite of no limits...\n");
+ exit(1);
+ }
+ }
+
+ // assign the model if it was proved by rewriting (const 1 miter)
+ if ( RetValue == 0 && pManAig->pData == NULL )
+ {
+ pManAig->pData = ALLOC( int, Ivy_ManPiNum(pManAig) );
+ memset( pManAig->pData, 0, sizeof(int) * Ivy_ManPiNum(pManAig) );
+ }
+ *ppManAig = pManAig;
+ return RetValue;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs fraiging of the AIG.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Man_t * Ivy_FraigPerform_int( Ivy_Man_t * pManAig, Ivy_FraigParams_t * pParams, sint64 nBTLimitGlobal, sint64 nInsLimitGlobal, sint64 * pnSatConfs, sint64 * pnSatInspects )
+{
+ Ivy_FraigMan_t * p;
+ Ivy_Man_t * pManAigNew;
+ int clk;
+ if ( Ivy_ManNodeNum(pManAig) == 0 )
+ return Ivy_ManDup(pManAig);
+clk = clock();
+ assert( Ivy_ManLatchNum(pManAig) == 0 );
+ p = Ivy_FraigStart( pManAig, pParams );
+ // set global limits
+ p->nBTLimitGlobal = nBTLimitGlobal;
+ p->nInsLimitGlobal = nInsLimitGlobal;
+
+ Ivy_FraigSimulate( p );
+ Ivy_FraigSweep( p );
+ pManAigNew = p->pManFraig;
+p->timeTotal = clock() - clk;
+ if ( pnSatConfs )
+ *pnSatConfs = p->pSat? p->pSat->stats.conflicts : 0;
+ if ( pnSatInspects )
+ *pnSatInspects = p->pSat? p->pSat->stats.inspects : 0;
+ Ivy_FraigStop( p );
+ return pManAigNew;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs fraiging of the AIG.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Man_t * Ivy_FraigPerform( Ivy_Man_t * pManAig, Ivy_FraigParams_t * pParams )
+{
+ Ivy_FraigMan_t * p;
+ Ivy_Man_t * pManAigNew;
+ int clk;
+ if ( Ivy_ManNodeNum(pManAig) == 0 )
+ return Ivy_ManDup(pManAig);
+clk = clock();
+ assert( Ivy_ManLatchNum(pManAig) == 0 );
+ p = Ivy_FraigStart( pManAig, pParams );
+ Ivy_FraigSimulate( p );
+ Ivy_FraigSweep( p );
+ pManAigNew = p->pManFraig;
+p->timeTotal = clock() - clk;
+ Ivy_FraigStop( p );
+ return pManAigNew;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Applies brute-force SAT to the miter.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Man_t * Ivy_FraigMiter( Ivy_Man_t * pManAig, Ivy_FraigParams_t * pParams )
+{
+ Ivy_FraigMan_t * p;
+ Ivy_Man_t * pManAigNew;
+ Ivy_Obj_t * pObj;
+ int i, clk;
+clk = clock();
+ assert( Ivy_ManLatchNum(pManAig) == 0 );
+ p = Ivy_FraigStartSimple( pManAig, pParams );
+ // set global limits
+ p->nBTLimitGlobal = s_nBTLimitGlobal;
+ p->nInsLimitGlobal = s_nInsLimitGlobal;
+ // duplicate internal nodes
+ Ivy_ManForEachNode( p->pManAig, pObj, i )
+ pObj->pEquiv = Ivy_And( p->pManFraig, Ivy_ObjChild0Equiv(pObj), Ivy_ObjChild1Equiv(pObj) );
+ // try to prove each output of the miter
+ Ivy_FraigMiterProve( p );
+ // add the POs
+ Ivy_ManForEachPo( p->pManAig, pObj, i )
+ Ivy_ObjCreatePo( p->pManFraig, Ivy_ObjChild0Equiv(pObj) );
+ // clean the new manager
+ Ivy_ManForEachObj( p->pManFraig, pObj, i )
+ {
+ if ( Ivy_ObjFaninVec(pObj) )
+ Vec_PtrFree( Ivy_ObjFaninVec(pObj) );
+ pObj->pNextFan0 = pObj->pNextFan1 = NULL;
+ }
+ // remove dangling nodes
+ Ivy_ManCleanup( p->pManFraig );
+ pManAigNew = p->pManFraig;
+p->timeTotal = clock() - clk;
+
+//printf( "Final nodes = %6d. ", Ivy_ManNodeNum(pManAigNew) );
+//PRT( "Time", p->timeTotal );
+ Ivy_FraigStop( p );
+ return pManAigNew;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Starts the fraiging manager without simulation info.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_FraigMan_t * Ivy_FraigStartSimple( Ivy_Man_t * pManAig, Ivy_FraigParams_t * pParams )
+{
+ Ivy_FraigMan_t * p;
+ // allocat the fraiging manager
+ p = ALLOC( Ivy_FraigMan_t, 1 );
+ memset( p, 0, sizeof(Ivy_FraigMan_t) );
+ p->pParams = pParams;
+ p->pManAig = pManAig;
+ p->pManFraig = Ivy_ManStartFrom( pManAig );
+ p->vPiVars = Vec_PtrAlloc( 100 );
+ return p;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Starts the fraiging manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_FraigMan_t * Ivy_FraigStart( Ivy_Man_t * pManAig, Ivy_FraigParams_t * pParams )
+{
+ Ivy_FraigMan_t * p;
+ Ivy_FraigSim_t * pSims;
+ Ivy_Obj_t * pObj;
+ int i, k, EntrySize;
+ // clean the fanout representation
+ Ivy_ManForEachObj( pManAig, pObj, i )
+// pObj->pEquiv = pObj->pFanout = pObj->pNextFan0 = pObj->pNextFan1 = pObj->pPrevFan0 = pObj->pPrevFan1 = NULL;
+ assert( !pObj->pEquiv && !pObj->pFanout );
+ // allocat the fraiging manager
+ p = ALLOC( Ivy_FraigMan_t, 1 );
+ memset( p, 0, sizeof(Ivy_FraigMan_t) );
+ p->pParams = pParams;
+ p->pManAig = pManAig;
+ p->pManFraig = Ivy_ManStartFrom( pManAig );
+ // allocate simulation info
+ p->nSimWords = pParams->nSimWords;
+// p->pSimWords = ALLOC( unsigned, Ivy_ManObjNum(pManAig) * p->nSimWords );
+ EntrySize = sizeof(Ivy_FraigSim_t) + sizeof(unsigned) * p->nSimWords;
+ p->pSimWords = (char *)malloc( Ivy_ManObjNum(pManAig) * EntrySize );
+ memset( p->pSimWords, 0, EntrySize );
+ k = 0;
+ Ivy_ManForEachObj( pManAig, pObj, i )
+ {
+ pSims = (Ivy_FraigSim_t *)(p->pSimWords + EntrySize * k++);
+ pSims->pNext = NULL;
+ if ( Ivy_ObjIsNode(pObj) )
+ {
+ if ( p->pSimStart == NULL )
+ p->pSimStart = pSims;
+ else
+ ((Ivy_FraigSim_t *)(p->pSimWords + EntrySize * (k-2)))->pNext = pSims;
+ pSims->pFanin0 = Ivy_ObjSim( Ivy_ObjFanin0(pObj) );
+ pSims->pFanin1 = Ivy_ObjSim( Ivy_ObjFanin1(pObj) );
+ pSims->Type = (Ivy_ObjFaninPhase(Ivy_ObjChild0(pObj)) << 2) | (Ivy_ObjFaninPhase(Ivy_ObjChild1(pObj)) << 1) | pObj->fPhase;
+ }
+ else
+ {
+ pSims->pFanin0 = NULL;
+ pSims->pFanin1 = NULL;
+ pSims->Type = 0;
+ }
+ Ivy_ObjSetSim( pObj, pSims );
+ }
+ assert( k == Ivy_ManObjNum(pManAig) );
+ // allocate storage for sim pattern
+ p->nPatWords = Ivy_BitWordNum( Ivy_ManPiNum(pManAig) );
+ p->pPatWords = ALLOC( unsigned, p->nPatWords );
+ p->pPatScores = ALLOC( int, 32 * p->nSimWords );
+ p->vPiVars = Vec_PtrAlloc( 100 );
+ // set random number generator
+ srand( 0xABCABC );
+ return p;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Stops the fraiging manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FraigStop( Ivy_FraigMan_t * p )
+{
+ if ( p->pParams->fVerbose )
+ Ivy_FraigPrint( p );
+ if ( p->vPiVars ) Vec_PtrFree( p->vPiVars );
+ if ( p->pSat ) sat_solver_delete( p->pSat );
+ FREE( p->pPatScores );
+ FREE( p->pPatWords );
+ FREE( p->pSimWords );
+ free( p );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Prints stats for the fraiging manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FraigPrint( Ivy_FraigMan_t * p )
+{
+ double nMemory;
+ nMemory = (double)Ivy_ManObjNum(p->pManAig)*p->nSimWords*sizeof(unsigned)/(1<<20);
+ printf( "SimWords = %d. Rounds = %d. Mem = %0.2f Mb. ", p->nSimWords, p->nSimRounds, nMemory );
+ printf( "Classes: Beg = %d. End = %d.\n", p->nClassesBeg, p->nClassesEnd );
+// printf( "Limits: BTNode = %d. BTMiter = %d.\n", p->pParams->nBTLimitNode, p->pParams->nBTLimitMiter );
+ printf( "Proof = %d. Counter-example = %d. Fail = %d. FailReal = %d. Zero = %d.\n",
+ p->nSatProof, p->nSatCallsSat, p->nSatFails, p->nSatFailsReal, p->nClassesZero );
+ printf( "Final = %d. Miter = %d. Total = %d. Mux = %d. (Exor = %d.) SatVars = %d.\n",
+ Ivy_ManNodeNum(p->pManFraig), p->nNodesMiter, Ivy_ManNodeNum(p->pManAig), 0, 0, p->nSatVars );
+ if ( p->pSat ) Sat_SolverPrintStats( stdout, p->pSat );
+ PRT( "AIG simulation ", p->timeSim );
+ PRT( "AIG traversal ", p->timeTrav );
+ PRT( "SAT solving ", p->timeSat );
+ PRT( " Unsat ", p->timeSatUnsat );
+ PRT( " Sat ", p->timeSatSat );
+ PRT( " Fail ", p->timeSatFail );
+ PRT( "Class refining ", p->timeRef );
+ PRT( "TOTAL RUNTIME ", p->timeTotal );
+ if ( p->time1 ) { PRT( "time1 ", p->time1 ); }
+}
+
+
+
+/**Function*************************************************************
+
+ Synopsis [Assigns random patterns to the PI node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_NodeAssignRandom( Ivy_FraigMan_t * p, Ivy_Obj_t * pObj )
+{
+ Ivy_FraigSim_t * pSims;
+ int i;
+ assert( Ivy_ObjIsPi(pObj) );
+ pSims = Ivy_ObjSim(pObj);
+ for ( i = 0; i < p->nSimWords; i++ )
+ pSims->pData[i] = Ivy_ObjRandomSim();
+}
+
+/**Function*************************************************************
+
+ Synopsis [Assigns constant patterns to the PI node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_NodeAssignConst( Ivy_FraigMan_t * p, Ivy_Obj_t * pObj, int fConst1 )
+{
+ Ivy_FraigSim_t * pSims;
+ int i;
+ assert( Ivy_ObjIsPi(pObj) );
+ pSims = Ivy_ObjSim(pObj);
+ for ( i = 0; i < p->nSimWords; i++ )
+ pSims->pData[i] = fConst1? ~(unsigned)0 : 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Assings random simulation info for the PIs.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FraigAssignRandom( Ivy_FraigMan_t * p )
+{
+ Ivy_Obj_t * pObj;
+ int i;
+ Ivy_ManForEachPi( p->pManAig, pObj, i )
+ Ivy_NodeAssignRandom( p, pObj );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Assings distance-1 simulation info for the PIs.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FraigAssignDist1( Ivy_FraigMan_t * p, unsigned * pPat )
+{
+ Ivy_Obj_t * pObj;
+ int i, Limit;
+ Ivy_ManForEachPi( p->pManAig, pObj, i )
+ {
+ Ivy_NodeAssignConst( p, pObj, Ivy_InfoHasBit(pPat, i) );
+// printf( "%d", Ivy_InfoHasBit(pPat, i) );
+ }
+// printf( "\n" );
+
+ Limit = IVY_MIN( Ivy_ManPiNum(p->pManAig), p->nSimWords * 32 - 1 );
+ for ( i = 0; i < Limit; i++ )
+ Ivy_InfoXorBit( Ivy_ObjSim( Ivy_ManPi(p->pManAig,i) )->pData, i+1 );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns 1 if simulation info is composed of all zeros.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_NodeHasZeroSim( Ivy_FraigMan_t * p, Ivy_Obj_t * pObj )
+{
+ Ivy_FraigSim_t * pSims;
+ int i;
+ pSims = Ivy_ObjSim(pObj);
+ for ( i = 0; i < p->nSimWords; i++ )
+ if ( pSims->pData[i] )
+ return 0;
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns 1 if simulation info is composed of all zeros.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_NodeComplementSim( Ivy_FraigMan_t * p, Ivy_Obj_t * pObj )
+{
+ Ivy_FraigSim_t * pSims;
+ int i;
+ pSims = Ivy_ObjSim(pObj);
+ for ( i = 0; i < p->nSimWords; i++ )
+ pSims->pData[i] = ~pSims->pData[i];
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns 1 if simulation infos are equal.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_NodeCompareSims( Ivy_FraigMan_t * p, Ivy_Obj_t * pObj0, Ivy_Obj_t * pObj1 )
+{
+ Ivy_FraigSim_t * pSims0, * pSims1;
+ int i;
+ pSims0 = Ivy_ObjSim(pObj0);
+ pSims1 = Ivy_ObjSim(pObj1);
+ for ( i = 0; i < p->nSimWords; i++ )
+ if ( pSims0->pData[i] != pSims1->pData[i] )
+ return 0;
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Simulates one node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_NodeSimulateSim( Ivy_FraigMan_t * p, Ivy_FraigSim_t * pSims )
+{
+ unsigned * pData, * pData0, * pData1;
+ int i;
+ pData = pSims->pData;
+ pData0 = pSims->pFanin0->pData;
+ pData1 = pSims->pFanin1->pData;
+ switch( pSims->Type )
+ {
+ case 0:
+ for ( i = 0; i < p->nSimWords; i++ )
+ pData[i] = (pData0[i] & pData1[i]);
+ break;
+ case 1:
+ for ( i = 0; i < p->nSimWords; i++ )
+ pData[i] = ~(pData0[i] & pData1[i]);
+ break;
+ case 2:
+ for ( i = 0; i < p->nSimWords; i++ )
+ pData[i] = (pData0[i] & ~pData1[i]);
+ break;
+ case 3:
+ for ( i = 0; i < p->nSimWords; i++ )
+ pData[i] = (~pData0[i] | pData1[i]);
+ break;
+ case 4:
+ for ( i = 0; i < p->nSimWords; i++ )
+ pData[i] = (~pData0[i] & pData1[i]);
+ break;
+ case 5:
+ for ( i = 0; i < p->nSimWords; i++ )
+ pData[i] = (pData0[i] | ~pData1[i]);
+ break;
+ case 6:
+ for ( i = 0; i < p->nSimWords; i++ )
+ pData[i] = ~(pData0[i] | pData1[i]);
+ break;
+ case 7:
+ for ( i = 0; i < p->nSimWords; i++ )
+ pData[i] = (pData0[i] | pData1[i]);
+ break;
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Simulates one node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_NodeSimulate( Ivy_FraigMan_t * p, Ivy_Obj_t * pObj )
+{
+ Ivy_FraigSim_t * pSims, * pSims0, * pSims1;
+ int fCompl, fCompl0, fCompl1, i;
+ assert( !Ivy_IsComplement(pObj) );
+ // get hold of the simulation information
+ pSims = Ivy_ObjSim(pObj);
+ pSims0 = Ivy_ObjSim(Ivy_ObjFanin0(pObj));
+ pSims1 = Ivy_ObjSim(Ivy_ObjFanin1(pObj));
+ // get complemented attributes of the children using their random info
+ fCompl = pObj->fPhase;
+ fCompl0 = Ivy_ObjFaninPhase(Ivy_ObjChild0(pObj));
+ fCompl1 = Ivy_ObjFaninPhase(Ivy_ObjChild1(pObj));
+ // simulate
+ if ( fCompl0 && fCompl1 )
+ {
+ if ( fCompl )
+ for ( i = 0; i < p->nSimWords; i++ )
+ pSims->pData[i] = (pSims0->pData[i] | pSims1->pData[i]);
+ else
+ for ( i = 0; i < p->nSimWords; i++ )
+ pSims->pData[i] = ~(pSims0->pData[i] | pSims1->pData[i]);
+ }
+ else if ( fCompl0 && !fCompl1 )
+ {
+ if ( fCompl )
+ for ( i = 0; i < p->nSimWords; i++ )
+ pSims->pData[i] = (pSims0->pData[i] | ~pSims1->pData[i]);
+ else
+ for ( i = 0; i < p->nSimWords; i++ )
+ pSims->pData[i] = (~pSims0->pData[i] & pSims1->pData[i]);
+ }
+ else if ( !fCompl0 && fCompl1 )
+ {
+ if ( fCompl )
+ for ( i = 0; i < p->nSimWords; i++ )
+ pSims->pData[i] = (~pSims0->pData[i] | pSims1->pData[i]);
+ else
+ for ( i = 0; i < p->nSimWords; i++ )
+ pSims->pData[i] = (pSims0->pData[i] & ~pSims1->pData[i]);
+ }
+ else // if ( !fCompl0 && !fCompl1 )
+ {
+ if ( fCompl )
+ for ( i = 0; i < p->nSimWords; i++ )
+ pSims->pData[i] = ~(pSims0->pData[i] & pSims1->pData[i]);
+ else
+ for ( i = 0; i < p->nSimWords; i++ )
+ pSims->pData[i] = (pSims0->pData[i] & pSims1->pData[i]);
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes hash value using simulation info.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+unsigned Ivy_NodeHash( Ivy_FraigMan_t * p, Ivy_Obj_t * pObj )
+{
+ static int s_FPrimes[128] = {
+ 1009, 1049, 1093, 1151, 1201, 1249, 1297, 1361, 1427, 1459,
+ 1499, 1559, 1607, 1657, 1709, 1759, 1823, 1877, 1933, 1997,
+ 2039, 2089, 2141, 2213, 2269, 2311, 2371, 2411, 2467, 2543,
+ 2609, 2663, 2699, 2741, 2797, 2851, 2909, 2969, 3037, 3089,
+ 3169, 3221, 3299, 3331, 3389, 3461, 3517, 3557, 3613, 3671,
+ 3719, 3779, 3847, 3907, 3943, 4013, 4073, 4129, 4201, 4243,
+ 4289, 4363, 4441, 4493, 4549, 4621, 4663, 4729, 4793, 4871,
+ 4933, 4973, 5021, 5087, 5153, 5227, 5281, 5351, 5417, 5471,
+ 5519, 5573, 5651, 5693, 5749, 5821, 5861, 5923, 6011, 6073,
+ 6131, 6199, 6257, 6301, 6353, 6397, 6481, 6563, 6619, 6689,
+ 6737, 6803, 6863, 6917, 6977, 7027, 7109, 7187, 7237, 7309,
+ 7393, 7477, 7523, 7561, 7607, 7681, 7727, 7817, 7877, 7933,
+ 8011, 8039, 8059, 8081, 8093, 8111, 8123, 8147
+ };
+ Ivy_FraigSim_t * pSims;
+ unsigned uHash;
+ int i;
+ assert( p->nSimWords <= 128 );
+ uHash = 0;
+ pSims = Ivy_ObjSim(pObj);
+ for ( i = 0; i < p->nSimWords; i++ )
+ uHash ^= pSims->pData[i] * s_FPrimes[i];
+ return uHash;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Simulates AIG manager.]
+
+ Description [Assumes that the PI simulation info is attached.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FraigSimulateOne( Ivy_FraigMan_t * p )
+{
+ Ivy_Obj_t * pObj;
+ int i, clk;
+clk = clock();
+ Ivy_ManForEachNode( p->pManAig, pObj, i )
+ {
+ Ivy_NodeSimulate( p, pObj );
+/*
+ if ( Ivy_ObjFraig(pObj) == NULL )
+ printf( "%3d --- -- %d : ", pObj->Id, pObj->fPhase );
+ else
+ printf( "%3d %3d %2d %d : ", pObj->Id, Ivy_Regular(Ivy_ObjFraig(pObj))->Id, Ivy_ObjSatNum(Ivy_Regular(Ivy_ObjFraig(pObj))), pObj->fPhase );
+ Extra_PrintBinary( stdout, Ivy_ObjSim(pObj), 30 );
+ printf( "\n" );
+*/
+ }
+p->timeSim += clock() - clk;
+p->nSimRounds++;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Simulates AIG manager.]
+
+ Description [Assumes that the PI simulation info is attached.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FraigSimulateOneSim( Ivy_FraigMan_t * p )
+{
+ Ivy_FraigSim_t * pSims;
+ int clk;
+clk = clock();
+ for ( pSims = p->pSimStart; pSims; pSims = pSims->pNext )
+ Ivy_NodeSimulateSim( p, pSims );
+p->timeSim += clock() - clk;
+p->nSimRounds++;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Adds one node to the equivalence class.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_NodeAddToClass( Ivy_Obj_t * pClass, Ivy_Obj_t * pObj )
+{
+ if ( Ivy_ObjClassNodeNext(pClass) == NULL )
+ Ivy_ObjSetClassNodeNext( pClass, pObj );
+ else
+ Ivy_ObjSetClassNodeNext( Ivy_ObjClassNodeLast(pClass), pObj );
+ Ivy_ObjSetClassNodeLast( pClass, pObj );
+ Ivy_ObjSetClassNodeRepr( pObj, pClass );
+ Ivy_ObjSetClassNodeNext( pObj, NULL );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Adds equivalence class to the list of classes.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FraigAddClass( Ivy_FraigList_t * pList, Ivy_Obj_t * pClass )
+{
+ if ( pList->pHead == NULL )
+ {
+ pList->pHead = pClass;
+ pList->pTail = pClass;
+ Ivy_ObjSetEquivListPrev( pClass, NULL );
+ Ivy_ObjSetEquivListNext( pClass, NULL );
+ }
+ else
+ {
+ Ivy_ObjSetEquivListNext( pList->pTail, pClass );
+ Ivy_ObjSetEquivListPrev( pClass, pList->pTail );
+ Ivy_ObjSetEquivListNext( pClass, NULL );
+ pList->pTail = pClass;
+ }
+ pList->nItems++;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Updates the list of classes after base class has split.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FraigInsertClass( Ivy_FraigList_t * pList, Ivy_Obj_t * pBase, Ivy_Obj_t * pClass )
+{
+ Ivy_ObjSetEquivListPrev( pClass, pBase );
+ Ivy_ObjSetEquivListNext( pClass, Ivy_ObjEquivListNext(pBase) );
+ if ( Ivy_ObjEquivListNext(pBase) )
+ Ivy_ObjSetEquivListPrev( Ivy_ObjEquivListNext(pBase), pClass );
+ Ivy_ObjSetEquivListNext( pBase, pClass );
+ if ( pList->pTail == pBase )
+ pList->pTail = pClass;
+ pList->nItems++;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Removes equivalence class from the list of classes.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FraigRemoveClass( Ivy_FraigList_t * pList, Ivy_Obj_t * pClass )
+{
+ if ( pList->pHead == pClass )
+ pList->pHead = Ivy_ObjEquivListNext(pClass);
+ if ( pList->pTail == pClass )
+ pList->pTail = Ivy_ObjEquivListPrev(pClass);
+ if ( Ivy_ObjEquivListPrev(pClass) )
+ Ivy_ObjSetEquivListNext( Ivy_ObjEquivListPrev(pClass), Ivy_ObjEquivListNext(pClass) );
+ if ( Ivy_ObjEquivListNext(pClass) )
+ Ivy_ObjSetEquivListPrev( Ivy_ObjEquivListNext(pClass), Ivy_ObjEquivListPrev(pClass) );
+ Ivy_ObjSetEquivListNext( pClass, NULL );
+ Ivy_ObjSetEquivListPrev( pClass, NULL );
+ pClass->fMarkA = 0;
+ pList->nItems--;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Count the number of pairs.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_FraigCountPairsClasses( Ivy_FraigMan_t * p )
+{
+ Ivy_Obj_t * pClass, * pNode;
+ int nPairs = 0, nNodes;
+ return nPairs;
+
+ Ivy_FraigForEachEquivClass( p->lClasses.pHead, pClass )
+ {
+ nNodes = 0;
+ Ivy_FraigForEachClassNode( pClass, pNode )
+ nNodes++;
+ nPairs += nNodes * (nNodes - 1) / 2;
+ }
+ return nPairs;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates initial simulation classes.]
+
+ Description [Assumes that simulation info is assigned.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FraigCreateClasses( Ivy_FraigMan_t * p )
+{
+ Ivy_Obj_t ** pTable;
+ Ivy_Obj_t * pObj, * pConst1, * pBin, * pEntry;
+ int i, nTableSize;
+ unsigned Hash;
+ pConst1 = Ivy_ManConst1(p->pManAig);
+ // allocate the table
+ nTableSize = Ivy_ManObjNum(p->pManAig) / 2 + 13;
+ pTable = ALLOC( Ivy_Obj_t *, nTableSize );
+ memset( pTable, 0, sizeof(Ivy_Obj_t *) * nTableSize );
+ // collect nodes into the table
+ Ivy_ManForEachObj( p->pManAig, pObj, i )
+ {
+ if ( !Ivy_ObjIsPi(pObj) && !Ivy_ObjIsNode(pObj) )
+ continue;
+ Hash = Ivy_NodeHash( p, pObj );
+ if ( Hash == 0 && Ivy_NodeHasZeroSim( p, pObj ) )
+ {
+ Ivy_NodeAddToClass( pConst1, pObj );
+ continue;
+ }
+ // add the node to the table
+ pBin = pTable[Hash % nTableSize];
+ Ivy_FraigForEachBinNode( pBin, pEntry )
+ if ( Ivy_NodeCompareSims( p, pEntry, pObj ) )
+ {
+ Ivy_NodeAddToClass( pEntry, pObj );
+ break;
+ }
+ // check if the entry was added
+ if ( pEntry )
+ continue;
+ Ivy_ObjSetNodeHashNext( pObj, pBin );
+ pTable[Hash % nTableSize] = pObj;
+ }
+ // collect non-trivial classes
+ assert( p->lClasses.pHead == NULL );
+ Ivy_ManForEachObj( p->pManAig, pObj, i )
+ {
+ if ( !Ivy_ObjIsConst1(pObj) && !Ivy_ObjIsPi(pObj) && !Ivy_ObjIsNode(pObj) )
+ continue;
+ Ivy_ObjSetNodeHashNext( pObj, NULL );
+ if ( Ivy_ObjClassNodeRepr(pObj) == NULL )
+ {
+ assert( Ivy_ObjClassNodeNext(pObj) == NULL );
+ continue;
+ }
+ // recognize the head of the class
+ if ( Ivy_ObjClassNodeNext( Ivy_ObjClassNodeRepr(pObj) ) != NULL )
+ continue;
+ // clean the class representative and add it to the list
+ Ivy_ObjSetClassNodeRepr( pObj, NULL );
+ Ivy_FraigAddClass( &p->lClasses, pObj );
+ }
+ // free the table
+ free( pTable );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Recursively refines the class after simulation.]
+
+ Description [Returns 1 if the class has changed.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_FraigRefineClass_rec( Ivy_FraigMan_t * p, Ivy_Obj_t * pClass )
+{
+ Ivy_Obj_t * pClassNew, * pListOld, * pListNew, * pNode;
+ int RetValue = 0;
+ // check if there is refinement
+ pListOld = pClass;
+ Ivy_FraigForEachClassNode( Ivy_ObjClassNodeNext(pClass), pClassNew )
+ {
+ if ( !Ivy_NodeCompareSims(p, pClass, pClassNew) )
+ {
+ if ( p->pParams->fPatScores )
+ Ivy_FraigAddToPatScores( p, pClass, pClassNew );
+ break;
+ }
+ pListOld = pClassNew;
+ }
+ if ( pClassNew == NULL )
+ return 0;
+ // set representative of the new class
+ Ivy_ObjSetClassNodeRepr( pClassNew, NULL );
+ // start the new list
+ pListNew = pClassNew;
+ // go through the remaining nodes and sort them into two groups:
+ // (1) matches of the old node; (2) non-matches of the old node
+ Ivy_FraigForEachClassNode( Ivy_ObjClassNodeNext(pClassNew), pNode )
+ if ( Ivy_NodeCompareSims( p, pClass, pNode ) )
+ {
+ Ivy_ObjSetClassNodeNext( pListOld, pNode );
+ pListOld = pNode;
+ }
+ else
+ {
+ Ivy_ObjSetClassNodeNext( pListNew, pNode );
+ Ivy_ObjSetClassNodeRepr( pNode, pClassNew );
+ pListNew = pNode;
+ }
+ // finish both lists
+ Ivy_ObjSetClassNodeNext( pListNew, NULL );
+ Ivy_ObjSetClassNodeNext( pListOld, NULL );
+ // update the list of classes
+ Ivy_FraigInsertClass( &p->lClasses, pClass, pClassNew );
+ // if the old class is trivial, remove it
+ if ( Ivy_ObjClassNodeNext(pClass) == NULL )
+ Ivy_FraigRemoveClass( &p->lClasses, pClass );
+ // if the new class is trivial, remove it; otherwise, try to refine it
+ if ( Ivy_ObjClassNodeNext(pClassNew) == NULL )
+ Ivy_FraigRemoveClass( &p->lClasses, pClassNew );
+ else
+ RetValue = Ivy_FraigRefineClass_rec( p, pClassNew );
+ return RetValue + 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates the counter-example from the successful pattern.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FraigCheckOutputSimsSavePattern( Ivy_FraigMan_t * p, Ivy_Obj_t * pObj )
+{
+ Ivy_FraigSim_t * pSims;
+ int i, k, BestPat, * pModel;
+ // find the word of the pattern
+ pSims = Ivy_ObjSim(pObj);
+ for ( i = 0; i < p->nSimWords; i++ )
+ if ( pSims->pData[i] )
+ break;
+ assert( i < p->nSimWords );
+ // find the bit of the pattern
+ for ( k = 0; k < 32; k++ )
+ if ( pSims->pData[i] & (1 << k) )
+ break;
+ assert( k < 32 );
+ // determine the best pattern
+ BestPat = i * 32 + k;
+ // fill in the counter-example data
+ pModel = ALLOC( int, Ivy_ManPiNum(p->pManFraig) );
+ Ivy_ManForEachPi( p->pManAig, pObj, i )
+ {
+ pModel[i] = Ivy_InfoHasBit(Ivy_ObjSim(pObj)->pData, BestPat);
+// printf( "%d", pModel[i] );
+ }
+// printf( "\n" );
+ // set the model
+ assert( p->pManFraig->pData == NULL );
+ p->pManFraig->pData = pModel;
+ return;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns 1 if the one of the output is already non-constant 0.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_FraigCheckOutputSims( Ivy_FraigMan_t * p )
+{
+ Ivy_Obj_t * pObj;
+ int i;
+ // make sure the reference simulation pattern does not detect the bug
+ pObj = Ivy_ManPo( p->pManAig, 0 );
+ assert( Ivy_ObjFanin0(pObj)->fPhase == (unsigned)Ivy_ObjFaninC0(pObj) ); // Ivy_ObjFaninPhase(Ivy_ObjChild0(pObj)) == 0
+ Ivy_ManForEachPo( p->pManAig, pObj, i )
+ {
+ // complement simulation info
+// if ( Ivy_ObjFanin0(pObj)->fPhase ^ Ivy_ObjFaninC0(pObj) ) // Ivy_ObjFaninPhase(Ivy_ObjChild0(pObj))
+// Ivy_NodeComplementSim( p, Ivy_ObjFanin0(pObj) );
+ // check
+ if ( !Ivy_NodeHasZeroSim( p, Ivy_ObjFanin0(pObj) ) )
+ {
+ // create the counter-example from this pattern
+ Ivy_FraigCheckOutputSimsSavePattern( p, Ivy_ObjFanin0(pObj) );
+ return 1;
+ }
+ // complement simulation info
+// if ( Ivy_ObjFanin0(pObj)->fPhase ^ Ivy_ObjFaninC0(pObj) )
+// Ivy_NodeComplementSim( p, Ivy_ObjFanin0(pObj) );
+ }
+ return 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Refines the classes after simulation.]
+
+ Description [Assumes that simulation info is assigned. Returns the
+ number of classes refined.]
+
+ SideEffects [Large equivalence class of constant 0 may cause problems.]
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_FraigRefineClasses( Ivy_FraigMan_t * p )
+{
+ Ivy_Obj_t * pClass, * pClass2;
+ int clk, RetValue, Counter = 0;
+ // check if some outputs already became non-constant
+ // this is a special case when computation can be stopped!!!
+ if ( p->pParams->fProve )
+ Ivy_FraigCheckOutputSims( p );
+ if ( p->pManFraig->pData )
+ return 0;
+ // refine the classed
+clk = clock();
+ Ivy_FraigForEachEquivClassSafe( p->lClasses.pHead, pClass, pClass2 )
+ {
+ if ( pClass->fMarkA )
+ continue;
+ RetValue = Ivy_FraigRefineClass_rec( p, pClass );
+ Counter += ( RetValue > 0 );
+//if ( Ivy_ObjIsConst1(pClass) )
+//printf( "%d ", RetValue );
+//if ( Ivy_ObjIsConst1(pClass) )
+// p->time1 += clock() - clk;
+ }
+p->timeRef += clock() - clk;
+ return Counter;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Print the class.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FraigPrintClass( Ivy_Obj_t * pClass )
+{
+ Ivy_Obj_t * pObj;
+ printf( "Class {" );
+ Ivy_FraigForEachClassNode( pClass, pObj )
+ printf( " %d(%d)%c", pObj->Id, pObj->Level, pObj->fPhase? '+' : '-' );
+ printf( " }\n" );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Count the number of elements in the class.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_FraigCountClassNodes( Ivy_Obj_t * pClass )
+{
+ Ivy_Obj_t * pObj;
+ int Counter = 0;
+ Ivy_FraigForEachClassNode( pClass, pObj )
+ Counter++;
+ return Counter;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Prints simulation classes.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FraigPrintSimClasses( Ivy_FraigMan_t * p )
+{
+ Ivy_Obj_t * pClass;
+ Ivy_FraigForEachEquivClass( p->lClasses.pHead, pClass )
+ {
+// Ivy_FraigPrintClass( pClass );
+ printf( "%d ", Ivy_FraigCountClassNodes( pClass ) );
+ }
+// printf( "\n" );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Generated const 0 pattern.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FraigSavePattern0( Ivy_FraigMan_t * p )
+{
+ memset( p->pPatWords, 0, sizeof(unsigned) * p->nPatWords );
+}
+
+/**Function*************************************************************
+
+ Synopsis [[Generated const 1 pattern.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FraigSavePattern1( Ivy_FraigMan_t * p )
+{
+ memset( p->pPatWords, 0xff, sizeof(unsigned) * p->nPatWords );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Generates the counter-example satisfying the miter.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int * Ivy_FraigCreateModel( Ivy_FraigMan_t * p )
+{
+ int * pModel;
+ Ivy_Obj_t * pObj;
+ int i;
+ pModel = ALLOC( int, Ivy_ManPiNum(p->pManFraig) );
+ Ivy_ManForEachPi( p->pManFraig, pObj, i )
+ pModel[i] = ( p->pSat->model.ptr[Ivy_ObjSatNum(pObj)] == l_True );
+ return pModel;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Copy pattern from the solver into the internal storage.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FraigSavePattern( Ivy_FraigMan_t * p )
+{
+ Ivy_Obj_t * pObj;
+ int i;
+ memset( p->pPatWords, 0, sizeof(unsigned) * p->nPatWords );
+ Ivy_ManForEachPi( p->pManFraig, pObj, i )
+// Vec_PtrForEachEntry( p->vPiVars, pObj, i )
+ if ( p->pSat->model.ptr[Ivy_ObjSatNum(pObj)] == l_True )
+ Ivy_InfoSetBit( p->pPatWords, i );
+// Ivy_InfoSetBit( p->pPatWords, pObj->Id - 1 );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Copy pattern from the solver into the internal storage.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FraigSavePattern2( Ivy_FraigMan_t * p )
+{
+ Ivy_Obj_t * pObj;
+ int i;
+ memset( p->pPatWords, 0, sizeof(unsigned) * p->nPatWords );
+// Ivy_ManForEachPi( p->pManFraig, pObj, i )
+ Vec_PtrForEachEntry( p->vPiVars, pObj, i )
+ if ( p->pSat->model.ptr[Ivy_ObjSatNum(pObj)] == l_True )
+// Ivy_InfoSetBit( p->pPatWords, i );
+ Ivy_InfoSetBit( p->pPatWords, pObj->Id - 1 );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Copy pattern from the solver into the internal storage.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FraigSavePattern3( Ivy_FraigMan_t * p )
+{
+ Ivy_Obj_t * pObj;
+ int i;
+ for ( i = 0; i < p->nPatWords; i++ )
+ p->pPatWords[i] = Ivy_ObjRandomSim();
+ Vec_PtrForEachEntry( p->vPiVars, pObj, i )
+ if ( Ivy_InfoHasBit( p->pPatWords, pObj->Id - 1 ) ^ (p->pSat->model.ptr[Ivy_ObjSatNum(pObj)] == l_True) )
+ Ivy_InfoXorBit( p->pPatWords, pObj->Id - 1 );
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Performs simulation of the manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FraigSimulate( Ivy_FraigMan_t * p )
+{
+ int nChanges, nClasses;
+ // start the classes
+ Ivy_FraigAssignRandom( p );
+ Ivy_FraigSimulateOne( p );
+ Ivy_FraigCreateClasses( p );
+//printf( "Starting classes = %5d. Pairs = %6d.\n", p->lClasses.nItems, Ivy_FraigCountPairsClasses(p) );
+ // refine classes by walking 0/1 patterns
+ Ivy_FraigSavePattern0( p );
+ Ivy_FraigAssignDist1( p, p->pPatWords );
+ Ivy_FraigSimulateOne( p );
+ nChanges = Ivy_FraigRefineClasses( p );
+ if ( p->pManFraig->pData )
+ return;
+//printf( "Refined classes = %5d. Changes = %4d. Pairs = %6d.\n", p->lClasses.nItems, nChanges, Ivy_FraigCountPairsClasses(p) );
+ Ivy_FraigSavePattern1( p );
+ Ivy_FraigAssignDist1( p, p->pPatWords );
+ Ivy_FraigSimulateOne( p );
+ nChanges = Ivy_FraigRefineClasses( p );
+ if ( p->pManFraig->pData )
+ return;
+//printf( "Refined classes = %5d. Changes = %4d. Pairs = %6d.\n", p->lClasses.nItems, nChanges, Ivy_FraigCountPairsClasses(p) );
+ // refine classes by random simulation
+ do {
+ Ivy_FraigAssignRandom( p );
+ Ivy_FraigSimulateOne( p );
+ nClasses = p->lClasses.nItems;
+ nChanges = Ivy_FraigRefineClasses( p );
+ if ( p->pManFraig->pData )
+ return;
+//printf( "Refined classes = %5d. Changes = %4d. Pairs = %6d.\n", p->lClasses.nItems, nChanges, Ivy_FraigCountPairsClasses(p) );
+ } while ( (double)nChanges / nClasses > p->pParams->dSimSatur );
+// Ivy_FraigPrintSimClasses( p );
+}
+
+
+
+/**Function*************************************************************
+
+ Synopsis [Cleans pattern scores.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FraigCleanPatScores( Ivy_FraigMan_t * p )
+{
+ int i, nLimit = p->nSimWords * 32;
+ for ( i = 0; i < nLimit; i++ )
+ p->pPatScores[i] = 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Adds to pattern scores.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FraigAddToPatScores( Ivy_FraigMan_t * p, Ivy_Obj_t * pClass, Ivy_Obj_t * pClassNew )
+{
+ Ivy_FraigSim_t * pSims0, * pSims1;
+ unsigned uDiff;
+ int i, w;
+ // get hold of the simulation information
+ pSims0 = Ivy_ObjSim(pClass);
+ pSims1 = Ivy_ObjSim(pClassNew);
+ // iterate through the differences and record the score
+ for ( w = 0; w < p->nSimWords; w++ )
+ {
+ uDiff = pSims0->pData[w] ^ pSims1->pData[w];
+ if ( uDiff == 0 )
+ continue;
+ for ( i = 0; i < 32; i++ )
+ if ( uDiff & ( 1 << i ) )
+ p->pPatScores[w*32+i]++;
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Selects the best pattern.]
+
+ Description [Returns 1 if such pattern is found.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_FraigSelectBestPat( Ivy_FraigMan_t * p )
+{
+ Ivy_FraigSim_t * pSims;
+ Ivy_Obj_t * pObj;
+ int i, nLimit = p->nSimWords * 32, MaxScore = 0, BestPat = -1;
+ for ( i = 1; i < nLimit; i++ )
+ {
+ if ( MaxScore < p->pPatScores[i] )
+ {
+ MaxScore = p->pPatScores[i];
+ BestPat = i;
+ }
+ }
+ if ( MaxScore == 0 )
+ return 0;
+// if ( MaxScore > p->pParams->MaxScore )
+// printf( "Max score is %3d. ", MaxScore );
+ // copy the best pattern into the selected pattern
+ memset( p->pPatWords, 0, sizeof(unsigned) * p->nPatWords );
+ Ivy_ManForEachPi( p->pManAig, pObj, i )
+ {
+ pSims = Ivy_ObjSim(pObj);
+ if ( Ivy_InfoHasBit(pSims->pData, BestPat) )
+ Ivy_InfoSetBit(p->pPatWords, i);
+ }
+ return MaxScore;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Resimulates fraiging manager after finding a counter-example.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FraigResimulate( Ivy_FraigMan_t * p )
+{
+ int nChanges;
+ Ivy_FraigAssignDist1( p, p->pPatWords );
+ Ivy_FraigSimulateOne( p );
+ if ( p->pParams->fPatScores )
+ Ivy_FraigCleanPatScores( p );
+ nChanges = Ivy_FraigRefineClasses( p );
+ if ( p->pManFraig->pData )
+ return;
+ if ( nChanges < 1 )
+ printf( "Error: A counter-example did not refine classes!\n" );
+ assert( nChanges >= 1 );
+//printf( "Refined classes! = %5d. Changes = %4d.\n", p->lClasses.nItems, nChanges );
+ if ( !p->pParams->fPatScores )
+ return;
+
+ // perform additional simulation using dist1 patterns derived from successful patterns
+ while ( Ivy_FraigSelectBestPat(p) > p->pParams->MaxScore )
+ {
+ Ivy_FraigAssignDist1( p, p->pPatWords );
+ Ivy_FraigSimulateOne( p );
+ Ivy_FraigCleanPatScores( p );
+ nChanges = Ivy_FraigRefineClasses( p );
+ if ( p->pManFraig->pData )
+ return;
+//printf( "Refined class!!! = %5d. Changes = %4d. Pairs = %6d.\n", p->lClasses.nItems, nChanges, Ivy_FraigCountPairsClasses(p) );
+ if ( nChanges == 0 )
+ break;
+ }
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Prints the status of the miter.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FraigMiterPrint( Ivy_Man_t * pNtk, char * pString, int clk, int fVerbose )
+{
+ if ( !fVerbose )
+ return;
+ printf( "Nodes = %7d. Levels = %4d. ", Ivy_ManNodeNum(pNtk), Ivy_ManLevels(pNtk) );
+ PRT( pString, clock() - clk );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Reports the status of the miter.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_FraigMiterStatus( Ivy_Man_t * pMan )
+{
+ Ivy_Obj_t * pObj, * pObjNew;
+ int i, CountConst0 = 0, CountNonConst0 = 0, CountUndecided = 0;
+ if ( pMan->pData )
+ return 0;
+ Ivy_ManForEachPo( pMan, pObj, i )
+ {
+ pObjNew = Ivy_ObjChild0(pObj);
+ // check if the output is constant 1
+ if ( pObjNew == pMan->pConst1 )
+ {
+ CountNonConst0++;
+ continue;
+ }
+ // check if the output is constant 0
+ if ( pObjNew == Ivy_Not(pMan->pConst1) )
+ {
+ CountConst0++;
+ continue;
+ }
+ // check if the output can be constant 0
+ if ( Ivy_Regular(pObjNew)->fPhase != (unsigned)Ivy_IsComplement(pObjNew) )
+ {
+ CountNonConst0++;
+ continue;
+ }
+ CountUndecided++;
+ }
+/*
+ if ( p->pParams->fVerbose )
+ {
+ printf( "Miter has %d outputs. ", Ivy_ManPoNum(p->pManAig) );
+ printf( "Const0 = %d. ", CountConst0 );
+ printf( "NonConst0 = %d. ", CountNonConst0 );
+ printf( "Undecided = %d. ", CountUndecided );
+ printf( "\n" );
+ }
+*/
+ if ( CountNonConst0 )
+ return 0;
+ if ( CountUndecided )
+ return -1;
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Tries to prove each output of the miter until encountering a sat output.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FraigMiterProve( Ivy_FraigMan_t * p )
+{
+ Ivy_Obj_t * pObj, * pObjNew;
+ int i, RetValue, clk = clock();
+ int fVerbose = 0;
+ Ivy_ManForEachPo( p->pManAig, pObj, i )
+ {
+ if ( i && fVerbose )
+ {
+ PRT( "Time", clock() -clk );
+ }
+ pObjNew = Ivy_ObjChild0Equiv(pObj);
+ // check if the output is constant 1
+ if ( pObjNew == p->pManFraig->pConst1 )
+ {
+ if ( fVerbose )
+ printf( "Output %2d (out of %2d) is constant 1. ", i, Ivy_ManPoNum(p->pManAig) );
+ // assing constant 0 model
+ p->pManFraig->pData = ALLOC( int, Ivy_ManPiNum(p->pManFraig) );
+ memset( p->pManFraig->pData, 0, sizeof(int) * Ivy_ManPiNum(p->pManFraig) );
+ break;
+ }
+ // check if the output is constant 0
+ if ( pObjNew == Ivy_Not(p->pManFraig->pConst1) )
+ {
+ if ( fVerbose )
+ printf( "Output %2d (out of %2d) is already constant 0. ", i, Ivy_ManPoNum(p->pManAig) );
+ continue;
+ }
+ // check if the output can be constant 0
+ if ( Ivy_Regular(pObjNew)->fPhase != (unsigned)Ivy_IsComplement(pObjNew) )
+ {
+ if ( fVerbose )
+ printf( "Output %2d (out of %2d) cannot be constant 0. ", i, Ivy_ManPoNum(p->pManAig) );
+ // assing constant 0 model
+ p->pManFraig->pData = ALLOC( int, Ivy_ManPiNum(p->pManFraig) );
+ memset( p->pManFraig->pData, 0, sizeof(int) * Ivy_ManPiNum(p->pManFraig) );
+ break;
+ }
+/*
+ // check the representative of this node
+ pRepr = Ivy_ObjClassNodeRepr(Ivy_ObjFanin0(pObj));
+ if ( Ivy_Regular(pRepr) != p->pManAig->pConst1 )
+ printf( "Representative is not constant 1.\n" );
+ else
+ printf( "Representative is constant 1.\n" );
+*/
+ // try to prove the output constant 0
+ RetValue = Ivy_FraigNodeIsConst( p, Ivy_Regular(pObjNew) );
+ if ( RetValue == 1 ) // proved equivalent
+ {
+ if ( fVerbose )
+ printf( "Output %2d (out of %2d) was proved constant 0. ", i, Ivy_ManPoNum(p->pManAig) );
+ // set the constant miter
+ Ivy_ObjFanin0(pObj)->pEquiv = Ivy_NotCond( p->pManFraig->pConst1, !Ivy_ObjFaninC0(pObj) );
+ continue;
+ }
+ if ( RetValue == -1 ) // failed
+ {
+ if ( fVerbose )
+ printf( "Output %2d (out of %2d) has timed out at %d backtracks. ", i, Ivy_ManPoNum(p->pManAig), p->pParams->nBTLimitMiter );
+ continue;
+ }
+ // proved satisfiable
+ if ( fVerbose )
+ printf( "Output %2d (out of %2d) was proved NOT a constant 0. ", i, Ivy_ManPoNum(p->pManAig) );
+ // create the model
+ p->pManFraig->pData = Ivy_FraigCreateModel(p);
+ break;
+ }
+ if ( fVerbose )
+ {
+ PRT( "Time", clock() -clk );
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs fraiging for the internal nodes.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FraigSweep( Ivy_FraigMan_t * p )
+{
+ Ivy_Obj_t * pObj;//, * pTemp;
+ int i, k = 0;
+p->nClassesZero = p->lClasses.pHead? (Ivy_ObjIsConst1(p->lClasses.pHead) ? Ivy_FraigCountClassNodes(p->lClasses.pHead) : 0) : 0;
+p->nClassesBeg = p->lClasses.nItems;
+ // duplicate internal nodes
+ p->pProgress = Extra_ProgressBarStart( stdout, Ivy_ManNodeNum(p->pManAig) );
+ Ivy_ManForEachNode( p->pManAig, pObj, i )
+ {
+ Extra_ProgressBarUpdate( p->pProgress, k++, NULL );
+ // default to simple strashing if simulation detected a counter-example for a PO
+ if ( p->pManFraig->pData )
+ pObj->pEquiv = Ivy_And( p->pManFraig, Ivy_ObjChild0Equiv(pObj), Ivy_ObjChild1Equiv(pObj) );
+ else
+ pObj->pEquiv = Ivy_FraigAnd( p, pObj );
+ assert( pObj->pEquiv != NULL );
+// pTemp = Ivy_Regular(pObj->pEquiv);
+// assert( Ivy_Regular(pObj->pEquiv)->Type );
+ }
+ Extra_ProgressBarStop( p->pProgress );
+p->nClassesEnd = p->lClasses.nItems;
+ // try to prove the outputs of the miter
+ p->nNodesMiter = Ivy_ManNodeNum(p->pManFraig);
+// Ivy_FraigMiterStatus( p->pManFraig );
+ if ( p->pParams->fProve && p->pManFraig->pData == NULL )
+ Ivy_FraigMiterProve( p );
+ // add the POs
+ Ivy_ManForEachPo( p->pManAig, pObj, i )
+ Ivy_ObjCreatePo( p->pManFraig, Ivy_ObjChild0Equiv(pObj) );
+ // clean the old manager
+ Ivy_ManForEachObj( p->pManAig, pObj, i )
+ pObj->pFanout = pObj->pNextFan0 = pObj->pNextFan1 = pObj->pPrevFan0 = pObj->pPrevFan1 = NULL;
+ // clean the new manager
+ Ivy_ManForEachObj( p->pManFraig, pObj, i )
+ {
+ if ( Ivy_ObjFaninVec(pObj) )
+ Vec_PtrFree( Ivy_ObjFaninVec(pObj) );
+ pObj->pNextFan0 = pObj->pNextFan1 = NULL;
+ }
+ // remove dangling nodes
+ Ivy_ManCleanup( p->pManFraig );
+ // clean up the class marks
+ Ivy_FraigForEachEquivClass( p->lClasses.pHead, pObj )
+ pObj->fMarkA = 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs fraiging for one node.]
+
+ Description [Returns the fraiged node.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Obj_t * Ivy_FraigAnd( Ivy_FraigMan_t * p, Ivy_Obj_t * pObjOld )
+{
+ Ivy_Obj_t * pObjNew, * pFanin0New, * pFanin1New, * pObjReprNew;
+ int RetValue;
+ // get the fraiged fanins
+ pFanin0New = Ivy_ObjChild0Equiv(pObjOld);
+ pFanin1New = Ivy_ObjChild1Equiv(pObjOld);
+ // get the candidate fraig node
+ pObjNew = Ivy_And( p->pManFraig, pFanin0New, pFanin1New );
+ // get representative of this class
+ if ( Ivy_ObjClassNodeRepr(pObjOld) == NULL || // this is a unique node
+ (!p->pParams->fDoSparse && Ivy_ObjClassNodeRepr(pObjOld) == p->pManAig->pConst1) ) // this is a sparse node
+ {
+ assert( Ivy_Regular(pFanin0New) != Ivy_Regular(pFanin1New) );
+ assert( pObjNew != Ivy_Regular(pFanin0New) );
+ assert( pObjNew != Ivy_Regular(pFanin1New) );
+ return pObjNew;
+ }
+ // get the fraiged representative
+ pObjReprNew = Ivy_ObjFraig(Ivy_ObjClassNodeRepr(pObjOld));
+ // if the fraiged nodes are the same return
+ if ( Ivy_Regular(pObjNew) == Ivy_Regular(pObjReprNew) )
+ return pObjNew;
+ assert( Ivy_Regular(pObjNew) != Ivy_ManConst1(p->pManFraig) );
+// printf( "Node = %d. Repr = %d.\n", pObjOld->Id, Ivy_ObjClassNodeRepr(pObjOld)->Id );
+
+ // they are different (the counter-example is in p->pPatWords)
+ RetValue = Ivy_FraigNodesAreEquiv( p, Ivy_Regular(pObjReprNew), Ivy_Regular(pObjNew) );
+ if ( RetValue == 1 ) // proved equivalent
+ {
+ // mark the class as proved
+ if ( Ivy_ObjClassNodeNext(pObjOld) == NULL )
+ Ivy_ObjClassNodeRepr(pObjOld)->fMarkA = 1;
+ return Ivy_NotCond( pObjReprNew, pObjOld->fPhase ^ Ivy_ObjClassNodeRepr(pObjOld)->fPhase );
+ }
+ if ( RetValue == -1 ) // failed
+ return pObjNew;
+ // simulate the counter-example and return the new node
+ Ivy_FraigResimulate( p );
+ return pObjNew;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Prints variable activity.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FraigPrintActivity( Ivy_FraigMan_t * p )
+{
+ int i;
+ for ( i = 0; i < p->nSatVars; i++ )
+ printf( "%d %.3f ", i, p->pSat->activity[i] );
+ printf( "\n" );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Runs equivalence test for the two nodes.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_FraigNodesAreEquiv( Ivy_FraigMan_t * p, Ivy_Obj_t * pOld, Ivy_Obj_t * pNew )
+{
+ int pLits[4], RetValue, RetValue1, nBTLimit, clk, clk2 = clock();
+
+ // make sure the nodes are not complemented
+ assert( !Ivy_IsComplement(pNew) );
+ assert( !Ivy_IsComplement(pOld) );
+ assert( pNew != pOld );
+
+ // if at least one of the nodes is a failed node, perform adjustments:
+ // if the backtrack limit is small, simply skip this node
+ // if the backtrack limit is > 10, take the quare root of the limit
+ nBTLimit = p->pParams->nBTLimitNode;
+ if ( nBTLimit > 0 && (pOld->fFailTfo || pNew->fFailTfo) )
+ {
+ p->nSatFails++;
+ // fail immediately
+// return -1;
+ if ( nBTLimit <= 10 )
+ return -1;
+ nBTLimit = (int)pow(nBTLimit, 0.7);
+ }
+ p->nSatCalls++;
+
+ // make sure the solver is allocated and has enough variables
+ if ( p->pSat == NULL )
+ {
+ p->pSat = sat_solver_new();
+ p->nSatVars = 1;
+ sat_solver_setnvars( p->pSat, 1000 );
+ // var 0 is reserved for const1 node - add the clause
+// pLits[0] = toLit( 0 );
+// sat_solver_addclause( p->pSat, pLits, pLits + 1 );
+ }
+
+ // if the nodes do not have SAT variables, allocate them
+ Ivy_FraigNodeAddToSolver( p, pOld, pNew );
+
+ // prepare variable activity
+ Ivy_FraigSetActivityFactors( p, pOld, pNew );
+
+ // solve under assumptions
+ // A = 1; B = 0 OR A = 1; B = 1
+clk = clock();
+ pLits[0] = toLitCond( Ivy_ObjSatNum(pOld), 0 );
+ pLits[1] = toLitCond( Ivy_ObjSatNum(pNew), pOld->fPhase == pNew->fPhase );
+//Sat_SolverWriteDimacs( p->pSat, "temp.cnf", pLits, pLits + 2, 1 );
+ RetValue1 = sat_solver_solve( p->pSat, pLits, pLits + 2,
+ (sint64)nBTLimit, (sint64)0,
+ p->nBTLimitGlobal, p->nInsLimitGlobal );
+p->timeSat += clock() - clk;
+ if ( RetValue1 == l_False )
+ {
+p->timeSatUnsat += clock() - clk;
+ pLits[0] = lit_neg( pLits[0] );
+ pLits[1] = lit_neg( pLits[1] );
+ RetValue = sat_solver_addclause( p->pSat, pLits, pLits + 2 );
+ assert( RetValue );
+ // continue solving the other implication
+ p->nSatCallsUnsat++;
+ }
+ else if ( RetValue1 == l_True )
+ {
+p->timeSatSat += clock() - clk;
+ Ivy_FraigSavePattern( p );
+ p->nSatCallsSat++;
+ return 0;
+ }
+ else // if ( RetValue1 == l_Undef )
+ {
+p->timeSatFail += clock() - clk;
+ // mark the node as the failed node
+ if ( pOld != p->pManFraig->pConst1 )
+ pOld->fFailTfo = 1;
+ pNew->fFailTfo = 1;
+ p->nSatFailsReal++;
+ return -1;
+ }
+
+ // if the old node was constant 0, we already know the answer
+ if ( pOld == p->pManFraig->pConst1 )
+ {
+ p->nSatProof++;
+ return 1;
+ }
+
+ // solve under assumptions
+ // A = 0; B = 1 OR A = 0; B = 0
+clk = clock();
+ pLits[0] = toLitCond( Ivy_ObjSatNum(pOld), 1 );
+ pLits[1] = toLitCond( Ivy_ObjSatNum(pNew), pOld->fPhase ^ pNew->fPhase );
+ RetValue1 = sat_solver_solve( p->pSat, pLits, pLits + 2,
+ (sint64)nBTLimit, (sint64)0,
+ p->nBTLimitGlobal, p->nInsLimitGlobal );
+p->timeSat += clock() - clk;
+ if ( RetValue1 == l_False )
+ {
+p->timeSatUnsat += clock() - clk;
+ pLits[0] = lit_neg( pLits[0] );
+ pLits[1] = lit_neg( pLits[1] );
+ RetValue = sat_solver_addclause( p->pSat, pLits, pLits + 2 );
+ assert( RetValue );
+ p->nSatCallsUnsat++;
+ }
+ else if ( RetValue1 == l_True )
+ {
+p->timeSatSat += clock() - clk;
+ Ivy_FraigSavePattern( p );
+ p->nSatCallsSat++;
+ return 0;
+ }
+ else // if ( RetValue1 == l_Undef )
+ {
+p->timeSatFail += clock() - clk;
+ // mark the node as the failed node
+ pOld->fFailTfo = 1;
+ pNew->fFailTfo = 1;
+ p->nSatFailsReal++;
+ return -1;
+ }
+/*
+ // check BDD proof
+ {
+ int RetVal;
+ PRT( "Sat", clock() - clk2 );
+ clk2 = clock();
+ RetVal = Ivy_FraigNodesAreEquivBdd( pOld, pNew );
+// printf( "%d ", RetVal );
+ assert( RetVal );
+ PRT( "Bdd", clock() - clk2 );
+ printf( "\n" );
+ }
+*/
+ // return SAT proof
+ p->nSatProof++;
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Runs equivalence test for one node.]
+
+ Description [Returns the fraiged node.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_FraigNodeIsConst( Ivy_FraigMan_t * p, Ivy_Obj_t * pNew )
+{
+ int pLits[2], RetValue1, RetValue, clk;
+
+ // make sure the nodes are not complemented
+ assert( !Ivy_IsComplement(pNew) );
+ assert( pNew != p->pManFraig->pConst1 );
+ p->nSatCalls++;
+
+ // make sure the solver is allocated and has enough variables
+ if ( p->pSat == NULL )
+ {
+ p->pSat = sat_solver_new();
+ p->nSatVars = 1;
+ sat_solver_setnvars( p->pSat, 1000 );
+ // var 0 is reserved for const1 node - add the clause
+// pLits[0] = toLit( 0 );
+// sat_solver_addclause( p->pSat, pLits, pLits + 1 );
+ }
+
+ // if the nodes do not have SAT variables, allocate them
+ Ivy_FraigNodeAddToSolver( p, NULL, pNew );
+
+ // prepare variable activity
+ Ivy_FraigSetActivityFactors( p, NULL, pNew );
+
+ // solve under assumptions
+clk = clock();
+ pLits[0] = toLitCond( Ivy_ObjSatNum(pNew), pNew->fPhase );
+ RetValue1 = sat_solver_solve( p->pSat, pLits, pLits + 1,
+ (sint64)p->pParams->nBTLimitMiter, (sint64)0,
+ p->nBTLimitGlobal, p->nInsLimitGlobal );
+p->timeSat += clock() - clk;
+ if ( RetValue1 == l_False )
+ {
+p->timeSatUnsat += clock() - clk;
+ pLits[0] = lit_neg( pLits[0] );
+ RetValue = sat_solver_addclause( p->pSat, pLits, pLits + 1 );
+ assert( RetValue );
+ // continue solving the other implication
+ p->nSatCallsUnsat++;
+ }
+ else if ( RetValue1 == l_True )
+ {
+p->timeSatSat += clock() - clk;
+ if ( p->pPatWords )
+ Ivy_FraigSavePattern( p );
+ p->nSatCallsSat++;
+ return 0;
+ }
+ else // if ( RetValue1 == l_Undef )
+ {
+p->timeSatFail += clock() - clk;
+ // mark the node as the failed node
+ pNew->fFailTfo = 1;
+ p->nSatFailsReal++;
+ return -1;
+ }
+
+ // return SAT proof
+ p->nSatProof++;
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Addes clauses to the solver.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FraigAddClausesMux( Ivy_FraigMan_t * p, Ivy_Obj_t * pNode )
+{
+ Ivy_Obj_t * pNodeI, * pNodeT, * pNodeE;
+ int pLits[4], RetValue, VarF, VarI, VarT, VarE, fCompT, fCompE;
+
+ assert( !Ivy_IsComplement( pNode ) );
+ assert( Ivy_ObjIsMuxType( pNode ) );
+ // get nodes (I = if, T = then, E = else)
+ pNodeI = Ivy_ObjRecognizeMux( pNode, &pNodeT, &pNodeE );
+ // get the variable numbers
+ VarF = Ivy_ObjSatNum(pNode);
+ VarI = Ivy_ObjSatNum(pNodeI);
+ VarT = Ivy_ObjSatNum(Ivy_Regular(pNodeT));
+ VarE = Ivy_ObjSatNum(Ivy_Regular(pNodeE));
+ // get the complementation flags
+ fCompT = Ivy_IsComplement(pNodeT);
+ fCompE = Ivy_IsComplement(pNodeE);
+
+ // f = ITE(i, t, e)
+
+ // i' + t' + f
+ // i' + t + f'
+ // i + e' + f
+ // i + e + f'
+
+ // create four clauses
+ pLits[0] = toLitCond(VarI, 1);
+ pLits[1] = toLitCond(VarT, 1^fCompT);
+ pLits[2] = toLitCond(VarF, 0);
+ RetValue = sat_solver_addclause( p->pSat, pLits, pLits + 3 );
+ assert( RetValue );
+ pLits[0] = toLitCond(VarI, 1);
+ pLits[1] = toLitCond(VarT, 0^fCompT);
+ pLits[2] = toLitCond(VarF, 1);
+ RetValue = sat_solver_addclause( p->pSat, pLits, pLits + 3 );
+ assert( RetValue );
+ pLits[0] = toLitCond(VarI, 0);
+ pLits[1] = toLitCond(VarE, 1^fCompE);
+ pLits[2] = toLitCond(VarF, 0);
+ RetValue = sat_solver_addclause( p->pSat, pLits, pLits + 3 );
+ assert( RetValue );
+ pLits[0] = toLitCond(VarI, 0);
+ pLits[1] = toLitCond(VarE, 0^fCompE);
+ pLits[2] = toLitCond(VarF, 1);
+ RetValue = sat_solver_addclause( p->pSat, pLits, pLits + 3 );
+ assert( RetValue );
+
+ // two additional clauses
+ // t' & e' -> f'
+ // t & e -> f
+
+ // t + e + f'
+ // t' + e' + f
+
+ if ( VarT == VarE )
+ {
+// assert( fCompT == !fCompE );
+ return;
+ }
+
+ pLits[0] = toLitCond(VarT, 0^fCompT);
+ pLits[1] = toLitCond(VarE, 0^fCompE);
+ pLits[2] = toLitCond(VarF, 1);
+ RetValue = sat_solver_addclause( p->pSat, pLits, pLits + 3 );
+ assert( RetValue );
+ pLits[0] = toLitCond(VarT, 1^fCompT);
+ pLits[1] = toLitCond(VarE, 1^fCompE);
+ pLits[2] = toLitCond(VarF, 0);
+ RetValue = sat_solver_addclause( p->pSat, pLits, pLits + 3 );
+ assert( RetValue );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Addes clauses to the solver.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FraigAddClausesSuper( Ivy_FraigMan_t * p, Ivy_Obj_t * pNode, Vec_Ptr_t * vSuper )
+{
+ Ivy_Obj_t * pFanin;
+ int * pLits, nLits, RetValue, i;
+ assert( !Ivy_IsComplement(pNode) );
+ assert( Ivy_ObjIsNode( pNode ) );
+ // create storage for literals
+ nLits = Vec_PtrSize(vSuper) + 1;
+ pLits = ALLOC( int, nLits );
+ // suppose AND-gate is A & B = C
+ // add !A => !C or A + !C
+ Vec_PtrForEachEntry( vSuper, pFanin, i )
+ {
+ pLits[0] = toLitCond(Ivy_ObjSatNum(Ivy_Regular(pFanin)), Ivy_IsComplement(pFanin));
+ pLits[1] = toLitCond(Ivy_ObjSatNum(pNode), 1);
+ RetValue = sat_solver_addclause( p->pSat, pLits, pLits + 2 );
+ assert( RetValue );
+ }
+ // add A & B => C or !A + !B + C
+ Vec_PtrForEachEntry( vSuper, pFanin, i )
+ pLits[i] = toLitCond(Ivy_ObjSatNum(Ivy_Regular(pFanin)), !Ivy_IsComplement(pFanin));
+ pLits[nLits-1] = toLitCond(Ivy_ObjSatNum(pNode), 0);
+ RetValue = sat_solver_addclause( p->pSat, pLits, pLits + nLits );
+ assert( RetValue );
+ free( pLits );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Collects the supergate.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FraigCollectSuper_rec( Ivy_Obj_t * pObj, Vec_Ptr_t * vSuper, int fFirst, int fUseMuxes )
+{
+ // if the new node is complemented or a PI, another gate begins
+ if ( Ivy_IsComplement(pObj) || Ivy_ObjIsPi(pObj) || (!fFirst && Ivy_ObjRefs(pObj) > 1) ||
+ (fUseMuxes && Ivy_ObjIsMuxType(pObj)) )
+ {
+ Vec_PtrPushUnique( vSuper, pObj );
+ return;
+ }
+ // go through the branches
+ Ivy_FraigCollectSuper_rec( Ivy_ObjChild0(pObj), vSuper, 0, fUseMuxes );
+ Ivy_FraigCollectSuper_rec( Ivy_ObjChild1(pObj), vSuper, 0, fUseMuxes );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Collects the supergate.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Vec_Ptr_t * Ivy_FraigCollectSuper( Ivy_Obj_t * pObj, int fUseMuxes )
+{
+ Vec_Ptr_t * vSuper;
+ assert( !Ivy_IsComplement(pObj) );
+ assert( !Ivy_ObjIsPi(pObj) );
+ vSuper = Vec_PtrAlloc( 4 );
+ Ivy_FraigCollectSuper_rec( pObj, vSuper, 1, fUseMuxes );
+ return vSuper;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Updates the solver clause database.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FraigObjAddToFrontier( Ivy_FraigMan_t * p, Ivy_Obj_t * pObj, Vec_Ptr_t * vFrontier )
+{
+ assert( !Ivy_IsComplement(pObj) );
+ if ( Ivy_ObjSatNum(pObj) )
+ return;
+ assert( Ivy_ObjSatNum(pObj) == 0 );
+ assert( Ivy_ObjFaninVec(pObj) == NULL );
+ if ( Ivy_ObjIsConst1(pObj) )
+ return;
+//printf( "Assigning node %d number %d\n", pObj->Id, p->nSatVars );
+ Ivy_ObjSetSatNum( pObj, p->nSatVars++ );
+ if ( Ivy_ObjIsNode(pObj) )
+ Vec_PtrPush( vFrontier, pObj );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Updates the solver clause database.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_FraigNodeAddToSolver( Ivy_FraigMan_t * p, Ivy_Obj_t * pOld, Ivy_Obj_t * pNew )
+{
+ Vec_Ptr_t * vFrontier, * vFanins;
+ Ivy_Obj_t * pNode, * pFanin;
+ int i, k, fUseMuxes = 1;
+ assert( pOld || pNew );
+ // quit if CNF is ready
+ if ( (!pOld || Ivy_ObjFaninVec(pOld)) && (!pNew || Ivy_ObjFaninVec(pNew)) )
+ return;
+ // start the frontier
+ vFrontier = Vec_PtrAlloc( 100 );
+ if ( pOld ) Ivy_FraigObjAddToFrontier( p, pOld, vFrontier );
+ if ( pNew ) Ivy_FraigObjAddToFrontier( p, pNew, vFrontier );
+ // explore nodes in the frontier
+ Vec_PtrForEachEntry( vFrontier, pNode, i )
+ {
+ // create the supergate
+ assert( Ivy_ObjSatNum(pNode) );
+ assert( Ivy_ObjFaninVec(pNode) == NULL );
+ if ( fUseMuxes && Ivy_ObjIsMuxType(pNode) )
+ {
+ vFanins = Vec_PtrAlloc( 4 );
+ Vec_PtrPushUnique( vFanins, Ivy_ObjFanin0( Ivy_ObjFanin0(pNode) ) );
+ Vec_PtrPushUnique( vFanins, Ivy_ObjFanin0( Ivy_ObjFanin1(pNode) ) );
+ Vec_PtrPushUnique( vFanins, Ivy_ObjFanin1( Ivy_ObjFanin0(pNode) ) );
+ Vec_PtrPushUnique( vFanins, Ivy_ObjFanin1( Ivy_ObjFanin1(pNode) ) );
+ Vec_PtrForEachEntry( vFanins, pFanin, k )
+ Ivy_FraigObjAddToFrontier( p, Ivy_Regular(pFanin), vFrontier );
+ Ivy_FraigAddClausesMux( p, pNode );
+ }
+ else
+ {
+ vFanins = Ivy_FraigCollectSuper( pNode, fUseMuxes );
+ Vec_PtrForEachEntry( vFanins, pFanin, k )
+ Ivy_FraigObjAddToFrontier( p, Ivy_Regular(pFanin), vFrontier );
+ Ivy_FraigAddClausesSuper( p, pNode, vFanins );
+ }
+ assert( Vec_PtrSize(vFanins) > 1 );
+ Ivy_ObjSetFaninVec( pNode, vFanins );
+ }
+ Vec_PtrFree( vFrontier );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Sets variable activities in the cone.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_FraigSetActivityFactors_rec( Ivy_FraigMan_t * p, Ivy_Obj_t * pObj, int LevelMin, int LevelMax )
+{
+ Vec_Ptr_t * vFanins;
+ Ivy_Obj_t * pFanin;
+ int i, Counter = 0;
+ assert( !Ivy_IsComplement(pObj) );
+ assert( Ivy_ObjSatNum(pObj) );
+ // skip visited variables
+ if ( Ivy_ObjIsTravIdCurrent(p->pManFraig, pObj) )
+ return 0;
+ Ivy_ObjSetTravIdCurrent(p->pManFraig, pObj);
+ // add the PI to the list
+ if ( pObj->Level <= (unsigned)LevelMin || Ivy_ObjIsPi(pObj) )
+ return 0;
+ // set the factor of this variable
+ // (LevelMax-LevelMin) / (pObj->Level-LevelMin) = p->pParams->dActConeBumpMax / ThisBump
+ p->pSat->factors[Ivy_ObjSatNum(pObj)] = p->pParams->dActConeBumpMax * (pObj->Level - LevelMin)/(LevelMax - LevelMin);
+ veci_push(&p->pSat->act_vars, Ivy_ObjSatNum(pObj));
+ // explore the fanins
+ vFanins = Ivy_ObjFaninVec( pObj );
+ Vec_PtrForEachEntry( vFanins, pFanin, i )
+ Counter += Ivy_FraigSetActivityFactors_rec( p, Ivy_Regular(pFanin), LevelMin, LevelMax );
+ return 1 + Counter;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Sets variable activities in the cone.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_FraigSetActivityFactors( Ivy_FraigMan_t * p, Ivy_Obj_t * pOld, Ivy_Obj_t * pNew )
+{
+ int clk, LevelMin, LevelMax;
+ assert( pOld || pNew );
+clk = clock();
+ // reset the active variables
+ veci_resize(&p->pSat->act_vars, 0);
+ // prepare for traversal
+ Ivy_ManIncrementTravId( p->pManFraig );
+ // determine the min and max level to visit
+ assert( p->pParams->dActConeRatio > 0 && p->pParams->dActConeRatio < 1 );
+ LevelMax = IVY_MAX( (pNew ? pNew->Level : 0), (pOld ? pOld->Level : 0) );
+ LevelMin = (int)(LevelMax * (1.0 - p->pParams->dActConeRatio));
+ // traverse
+ if ( pOld && !Ivy_ObjIsConst1(pOld) )
+ Ivy_FraigSetActivityFactors_rec( p, pOld, LevelMin, LevelMax );
+ if ( pNew && !Ivy_ObjIsConst1(pNew) )
+ Ivy_FraigSetActivityFactors_rec( p, pNew, LevelMin, LevelMax );
+//Ivy_FraigPrintActivity( p );
+p->timeTrav += clock() - clk;
+ return 1;
+}
+
+
+
+#include "cuddInt.h"
+
+/**Function*************************************************************
+
+ Synopsis [Checks equivalence using BDDs.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+DdNode * Ivy_FraigNodesAreEquivBdd_int( DdManager * dd, DdNode * bFunc, Vec_Ptr_t * vFront, int Level )
+{
+ DdNode ** pFuncs;
+ DdNode * bFuncNew;
+ Vec_Ptr_t * vTemp;
+ Ivy_Obj_t * pObj, * pFanin;
+ int i, NewSize;
+ // create new frontier
+ vTemp = Vec_PtrAlloc( 100 );
+ Vec_PtrForEachEntry( vFront, pObj, i )
+ {
+ if ( (int)pObj->Level != Level )
+ {
+ pObj->fMarkB = 1;
+ pObj->TravId = Vec_PtrSize(vTemp);
+ Vec_PtrPush( vTemp, pObj );
+ continue;
+ }
+
+ pFanin = Ivy_ObjFanin0(pObj);
+ if ( pFanin->fMarkB == 0 )
+ {
+ pFanin->fMarkB = 1;
+ pFanin->TravId = Vec_PtrSize(vTemp);
+ Vec_PtrPush( vTemp, pFanin );
+ }
+
+ pFanin = Ivy_ObjFanin1(pObj);
+ if ( pFanin->fMarkB == 0 )
+ {
+ pFanin->fMarkB = 1;
+ pFanin->TravId = Vec_PtrSize(vTemp);
+ Vec_PtrPush( vTemp, pFanin );
+ }
+ }
+ // collect the permutation
+ NewSize = IVY_MAX(dd->size, Vec_PtrSize(vTemp));
+ pFuncs = ALLOC( DdNode *, NewSize );
+ Vec_PtrForEachEntry( vFront, pObj, i )
+ {
+ if ( (int)pObj->Level != Level )
+ pFuncs[i] = Cudd_bddIthVar( dd, pObj->TravId );
+ else
+ pFuncs[i] = Cudd_bddAnd( dd,
+ Cudd_NotCond( Cudd_bddIthVar(dd, Ivy_ObjFanin0(pObj)->TravId), Ivy_ObjFaninC0(pObj) ),
+ Cudd_NotCond( Cudd_bddIthVar(dd, Ivy_ObjFanin1(pObj)->TravId), Ivy_ObjFaninC1(pObj) ) );
+ Cudd_Ref( pFuncs[i] );
+ }
+ // add the remaining vars
+ assert( NewSize == dd->size );
+ for ( i = Vec_PtrSize(vFront); i < dd->size; i++ )
+ {
+ pFuncs[i] = Cudd_bddIthVar( dd, i );
+ Cudd_Ref( pFuncs[i] );
+ }
+
+ // create new
+ bFuncNew = Cudd_bddVectorCompose( dd, bFunc, pFuncs ); Cudd_Ref( bFuncNew );
+ // clean trav Id
+ Vec_PtrForEachEntry( vTemp, pObj, i )
+ {
+ pObj->fMarkB = 0;
+ pObj->TravId = 0;
+ }
+ // deref
+ for ( i = 0; i < dd->size; i++ )
+ Cudd_RecursiveDeref( dd, pFuncs[i] );
+ free( pFuncs );
+
+ free( vFront->pArray );
+ *vFront = *vTemp;
+
+ vTemp->nCap = vTemp->nSize = 0;
+ vTemp->pArray = NULL;
+ Vec_PtrFree( vTemp );
+
+ Cudd_Deref( bFuncNew );
+ return bFuncNew;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Checks equivalence using BDDs.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_FraigNodesAreEquivBdd( Ivy_Obj_t * pObj1, Ivy_Obj_t * pObj2 )
+{
+ static DdManager * dd = NULL;
+ DdNode * bFunc, * bTemp;
+ Vec_Ptr_t * vFront;
+ Ivy_Obj_t * pObj;
+ int i, RetValue, Iter, Level;
+ // start the manager
+ if ( dd == NULL )
+ dd = Cudd_Init( 50, 0, CUDD_UNIQUE_SLOTS, CUDD_CACHE_SLOTS, 0 );
+ // create front
+ vFront = Vec_PtrAlloc( 100 );
+ Vec_PtrPush( vFront, pObj1 );
+ Vec_PtrPush( vFront, pObj2 );
+ // get the function
+ bFunc = Cudd_bddXor( dd, Cudd_bddIthVar(dd,0), Cudd_bddIthVar(dd,1) ); Cudd_Ref( bFunc );
+ bFunc = Cudd_NotCond( bFunc, pObj1->fPhase != pObj2->fPhase );
+ // try running BDDs
+ for ( Iter = 0; ; Iter++ )
+ {
+ // find max level
+ Level = 0;
+ Vec_PtrForEachEntry( vFront, pObj, i )
+ if ( Level < (int)pObj->Level )
+ Level = (int)pObj->Level;
+ if ( Level == 0 )
+ break;
+ bFunc = Ivy_FraigNodesAreEquivBdd_int( dd, bTemp = bFunc, vFront, Level ); Cudd_Ref( bFunc );
+ Cudd_RecursiveDeref( dd, bTemp );
+ if ( bFunc == Cudd_ReadLogicZero(dd) ) // proved
+ {printf( "%d", Iter ); break;}
+ if ( Cudd_DagSize(bFunc) > 1000 )
+ {printf( "b" ); break;}
+ if ( dd->size > 120 )
+ {printf( "s" ); break;}
+ if ( Iter > 50 )
+ {printf( "i" ); break;}
+ }
+ if ( bFunc == Cudd_ReadLogicZero(dd) ) // unsat
+ RetValue = 1;
+ else if ( Level == 0 ) // sat
+ RetValue = 0;
+ else
+ RetValue = -1; // spaceout/timeout
+ Cudd_RecursiveDeref( dd, bFunc );
+ Vec_PtrFree( vFront );
+ return RetValue;
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/ivy/ivyHaig.c b/src/aig/ivy/ivyHaig.c
new file mode 100644
index 00000000..87021600
--- /dev/null
+++ b/src/aig/ivy/ivyHaig.c
@@ -0,0 +1,530 @@
+/**CFile****************************************************************
+
+ FileName [ivyHaig.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [And-Inverter Graph package.]
+
+ Synopsis [HAIG management procedures.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - May 11, 2006.]
+
+ Revision [$Id: ivyHaig.c,v 1.00 2006/05/11 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "ivy.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/*
+ HAIGing rules in working AIG:
+ - Each node in the working AIG has a pointer to the corresponding node in HAIG
+ (this node is not necessarily the representative of the equivalence class of HAIG nodes)
+ - This pointer is complemented if the AIG node and its corresponding HAIG node have different phase
+
+ Choice node rules in HAIG:
+ - Equivalent nodes are linked into a ring
+ - Exactly one node in the ring has fanouts (this node is called the representative)
+ - The pointer going from a node to the next node in the ring is complemented
+ if the first node is complemented, compared to the representative node of the equivalence class
+ - (consequence of the above) The representative node always has non-complemented pointer to the next node
+ - New nodes are inserted into the ring immediately after the representative node
+*/
+
+// returns the representative node of the given HAIG node
+static inline Ivy_Obj_t * Ivy_HaigObjRepr( Ivy_Obj_t * pObj )
+{
+ Ivy_Obj_t * pTemp;
+ assert( !Ivy_IsComplement(pObj) );
+ // if the node has no equivalent node or has fanout, it is representative
+ if ( pObj->pEquiv == NULL || Ivy_ObjRefs(pObj) > 0 )
+ return pObj;
+ // the node belongs to a class and is not a representative
+ // complemented edge (pObj->pEquiv) tells if it is complemented w.r.t. the repr
+ for ( pTemp = Ivy_Regular(pObj->pEquiv); pTemp != pObj; pTemp = Ivy_Regular(pTemp->pEquiv) )
+ if ( Ivy_ObjRefs(pTemp) > 0 )
+ break;
+ // return the representative node
+ assert( Ivy_ObjRefs(pTemp) > 0 );
+ return Ivy_NotCond( pTemp, Ivy_IsComplement(pObj->pEquiv) );
+}
+
+// counts the number of nodes in the equivalence class
+static inline int Ivy_HaigObjCountClass( Ivy_Obj_t * pObj )
+{
+ Ivy_Obj_t * pTemp;
+ int Counter;
+ assert( !Ivy_IsComplement(pObj) );
+ assert( Ivy_ObjRefs(pObj) > 0 );
+ if ( pObj->pEquiv == NULL )
+ return 1;
+ assert( !Ivy_IsComplement(pObj->pEquiv) );
+ Counter = 1;
+ for ( pTemp = pObj->pEquiv; pTemp != pObj; pTemp = Ivy_Regular(pTemp->pEquiv) )
+ Counter++;
+ return Counter;
+}
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Starts HAIG for the manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_ManHaigStart( Ivy_Man_t * p, int fVerbose )
+{
+ Vec_Int_t * vLatches;
+ Ivy_Obj_t * pObj;
+ int i;
+ assert( p->pHaig == NULL );
+ p->pHaig = Ivy_ManDup( p );
+
+ if ( fVerbose )
+ {
+ printf( "Starting : " );
+ Ivy_ManPrintStats( p->pHaig );
+ }
+
+ // collect latches of design D and set their values to be DC
+ vLatches = Vec_IntAlloc( 100 );
+ Ivy_ManForEachLatch( p->pHaig, pObj, i )
+ {
+ pObj->Init = IVY_INIT_DC;
+ Vec_IntPush( vLatches, pObj->Id );
+ }
+ p->pHaig->pData = vLatches;
+/*
+ {
+ int x;
+ Ivy_ManShow( p, 0, NULL );
+ Ivy_ManShow( p->pHaig, 1, NULL );
+ x = 0;
+ }
+*/
+}
+
+/**Function*************************************************************
+
+ Synopsis [Transfers the HAIG to the newly created manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_ManHaigTrasfer( Ivy_Man_t * p, Ivy_Man_t * pNew )
+{
+ Ivy_Obj_t * pObj;
+ int i;
+ assert( p->pHaig != NULL );
+ Ivy_ManConst1(pNew)->pEquiv = Ivy_ManConst1(p)->pEquiv;
+ Ivy_ManForEachPi( pNew, pObj, i )
+ pObj->pEquiv = Ivy_ManPi( p, i )->pEquiv;
+ pNew->pHaig = p->pHaig;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Stops HAIG for the manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_ManHaigStop( Ivy_Man_t * p )
+{
+ Ivy_Obj_t * pObj;
+ int i;
+ assert( p->pHaig != NULL );
+ Vec_IntFree( p->pHaig->pData );
+ Ivy_ManStop( p->pHaig );
+ p->pHaig = NULL;
+ // remove dangling pointers to the HAIG objects
+ Ivy_ManForEachObj( p, pObj, i )
+ pObj->pEquiv = NULL;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates a new node in HAIG.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_ManHaigCreateObj( Ivy_Man_t * p, Ivy_Obj_t * pObj )
+{
+ Ivy_Obj_t * pEquiv0, * pEquiv1;
+ assert( p->pHaig != NULL );
+ assert( !Ivy_IsComplement(pObj) );
+ if ( Ivy_ObjType(pObj) == IVY_BUF )
+ pObj->pEquiv = Ivy_ObjChild0Equiv(pObj);
+ else if ( Ivy_ObjType(pObj) == IVY_LATCH )
+ {
+// pObj->pEquiv = Ivy_Latch( p->pHaig, Ivy_ObjChild0Equiv(pObj), pObj->Init );
+ pEquiv0 = Ivy_ObjChild0Equiv(pObj);
+ pEquiv0 = Ivy_NotCond( Ivy_HaigObjRepr(Ivy_Regular(pEquiv0)), Ivy_IsComplement(pEquiv0) );
+ pObj->pEquiv = Ivy_Latch( p->pHaig, pEquiv0, pObj->Init );
+ }
+ else if ( Ivy_ObjType(pObj) == IVY_AND )
+ {
+// pObj->pEquiv = Ivy_And( p->pHaig, Ivy_ObjChild0Equiv(pObj), Ivy_ObjChild1Equiv(pObj) );
+ pEquiv0 = Ivy_ObjChild0Equiv(pObj);
+ pEquiv0 = Ivy_NotCond( Ivy_HaigObjRepr(Ivy_Regular(pEquiv0)), Ivy_IsComplement(pEquiv0) );
+ pEquiv1 = Ivy_ObjChild1Equiv(pObj);
+ pEquiv1 = Ivy_NotCond( Ivy_HaigObjRepr(Ivy_Regular(pEquiv1)), Ivy_IsComplement(pEquiv1) );
+ pObj->pEquiv = Ivy_And( p->pHaig, pEquiv0, pEquiv1 );
+ }
+ else assert( 0 );
+ // make sure the node points to the representative
+// pObj->pEquiv = Ivy_NotCond( Ivy_HaigObjRepr(Ivy_Regular(pObj->pEquiv)), Ivy_IsComplement(pObj->pEquiv) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Checks if the old node is in the TFI of the new node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_ObjIsInTfi_rec( Ivy_Obj_t * pObjNew, Ivy_Obj_t * pObjOld, int Levels )
+{
+ if ( pObjNew == pObjOld )
+ return 1;
+ if ( Levels == 0 || Ivy_ObjIsCi(pObjNew) || Ivy_ObjIsConst1(pObjNew) )
+ return 0;
+ if ( Ivy_ObjIsInTfi_rec( Ivy_ObjFanin0(pObjNew), pObjOld, Levels - 1 ) )
+ return 1;
+ if ( Ivy_ObjIsNode(pObjNew) && Ivy_ObjIsInTfi_rec( Ivy_ObjFanin1(pObjNew), pObjOld, Levels - 1 ) )
+ return 1;
+ return 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Sets the pair of equivalent nodes in HAIG.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_ManHaigCreateChoice( Ivy_Man_t * p, Ivy_Obj_t * pObjOld, Ivy_Obj_t * pObjNew )
+{
+ Ivy_Obj_t * pObjOldHaig, * pObjNewHaig;
+ Ivy_Obj_t * pObjOldHaigR, * pObjNewHaigR;
+ int fCompl;
+//printf( "\nCreating choice for %d and %d in AIG\n", pObjOld->Id, Ivy_Regular(pObjNew)->Id );
+
+ assert( p->pHaig != NULL );
+ assert( !Ivy_IsComplement(pObjOld) );
+ // get pointers to the representatives of pObjOld and pObjNew
+ pObjOldHaig = pObjOld->pEquiv;
+ pObjNewHaig = Ivy_NotCond( Ivy_Regular(pObjNew)->pEquiv, Ivy_IsComplement(pObjNew) );
+ // get the classes
+ pObjOldHaig = Ivy_NotCond( Ivy_HaigObjRepr(Ivy_Regular(pObjOldHaig)), Ivy_IsComplement(pObjOldHaig) );
+ pObjNewHaig = Ivy_NotCond( Ivy_HaigObjRepr(Ivy_Regular(pObjNewHaig)), Ivy_IsComplement(pObjNewHaig) );
+ // get regular pointers
+ pObjOldHaigR = Ivy_Regular(pObjOldHaig);
+ pObjNewHaigR = Ivy_Regular(pObjNewHaig);
+ // check if there is phase difference between them
+ fCompl = (Ivy_IsComplement(pObjOldHaig) != Ivy_IsComplement(pObjNewHaig));
+ // if the class is the same, nothing to do
+ if ( pObjOldHaigR == pObjNewHaigR )
+ return;
+ // if the second node belongs to a class, do not merge classes (for the time being)
+ if ( Ivy_ObjRefs(pObjOldHaigR) == 0 || pObjNewHaigR->pEquiv != NULL ||
+ Ivy_ObjRefs(pObjNewHaigR) > 0 ) //|| Ivy_ObjIsInTfi_rec(pObjNewHaigR, pObjOldHaigR, 10) )
+ {
+/*
+ if ( pObjNewHaigR->pEquiv != NULL )
+ printf( "c" );
+ if ( Ivy_ObjRefs(pObjNewHaigR) > 0 )
+ printf( "f" );
+ printf( " " );
+*/
+ p->pHaig->nClassesSkip++;
+ return;
+ }
+
+ // add this node to the class of pObjOldHaig
+ assert( Ivy_ObjRefs(pObjOldHaigR) > 0 );
+ assert( !Ivy_IsComplement(pObjOldHaigR->pEquiv) );
+ if ( pObjOldHaigR->pEquiv == NULL )
+ pObjNewHaigR->pEquiv = Ivy_NotCond( pObjOldHaigR, fCompl );
+ else
+ pObjNewHaigR->pEquiv = Ivy_NotCond( pObjOldHaigR->pEquiv, fCompl );
+ pObjOldHaigR->pEquiv = pObjNewHaigR;
+//printf( "Setting choice node %d -> %d.\n", pObjOldHaigR->Id, pObjNewHaigR->Id );
+ // update the class of the new node
+// Ivy_Regular(pObjNew)->pEquiv = Ivy_NotCond( pObjOldHaigR, fCompl ^ Ivy_IsComplement(pObjNew) );
+//printf( "Creating choice for %d and %d in HAIG\n", pObjOldHaigR->Id, pObjNewHaigR->Id );
+
+// if ( pObjOldHaigR->Id == 13 )
+// {
+// Ivy_ManShow( p, 0 );
+// Ivy_ManShow( p->pHaig, 1 );
+// }
+// if ( !Ivy_ManIsAcyclic( p->pHaig ) )
+// printf( "HAIG contains a cycle\n" );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Count the number of choices and choice nodes in HAIG.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_ManHaigCountChoices( Ivy_Man_t * p, int * pnChoices )
+{
+ Ivy_Obj_t * pObj;
+ int nChoices, nChoiceNodes, Counter, i;
+ assert( p->pHaig != NULL );
+ nChoices = nChoiceNodes = 0;
+ Ivy_ManForEachObj( p->pHaig, pObj, i )
+ {
+ if ( Ivy_ObjIsTerm(pObj) || i == 0 )
+ continue;
+ if ( Ivy_ObjRefs(pObj) == 0 )
+ continue;
+ Counter = Ivy_HaigObjCountClass( pObj );
+ nChoiceNodes += (int)(Counter > 1);
+ nChoices += Counter - 1;
+// if ( Counter > 1 )
+// printf( "Choice node %d %s\n", pObj->Id, Ivy_ObjIsLatch(pObj)? "(latch)": "" );
+ }
+ *pnChoices = nChoices;
+ return nChoiceNodes;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Prints statistics of the HAIG.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_ManHaigPostprocess( Ivy_Man_t * p, int fVerbose )
+{
+ int nChoices, nChoiceNodes;
+
+ assert( p->pHaig != NULL );
+
+ if ( fVerbose )
+ {
+ printf( "Final : " );
+ Ivy_ManPrintStats( p );
+ printf( "HAIG : " );
+ Ivy_ManPrintStats( p->pHaig );
+
+ // print choice node stats
+ nChoiceNodes = Ivy_ManHaigCountChoices( p, &nChoices );
+ printf( "Total choice nodes = %d. Total choices = %d. Skipped classes = %d.\n",
+ nChoiceNodes, nChoices, p->pHaig->nClassesSkip );
+ }
+
+ if ( Ivy_ManIsAcyclic( p->pHaig ) )
+ {
+ if ( fVerbose )
+ printf( "HAIG is acyclic\n" );
+ }
+ else
+ printf( "HAIG contains a cycle\n" );
+
+// if ( fVerbose )
+// Ivy_ManHaigSimulate( p );
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Applies the simulation rules.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline Ivy_Init_t Ivy_ManHaigSimulateAnd( Ivy_Init_t In0, Ivy_Init_t In1 )
+{
+ assert( In0 != IVY_INIT_NONE && In1 != IVY_INIT_NONE );
+ if ( In0 == IVY_INIT_DC || In1 == IVY_INIT_DC )
+ return IVY_INIT_DC;
+ if ( In0 == IVY_INIT_1 && In1 == IVY_INIT_1 )
+ return IVY_INIT_1;
+ return IVY_INIT_0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Applies the simulation rules.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline Ivy_Init_t Ivy_ManHaigSimulateChoice( Ivy_Init_t In0, Ivy_Init_t In1 )
+{
+ assert( In0 != IVY_INIT_NONE && In1 != IVY_INIT_NONE );
+ if ( (In0 == IVY_INIT_0 && In1 == IVY_INIT_1) || (In0 == IVY_INIT_1 && In1 == IVY_INIT_0) )
+ {
+ printf( "Compatibility fails.\n" );
+ return IVY_INIT_0;
+ }
+ if ( In0 == IVY_INIT_DC && In1 == IVY_INIT_DC )
+ return IVY_INIT_DC;
+ if ( In0 != IVY_INIT_DC )
+ return In0;
+ return In1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Simulate HAIG using modified 3-valued simulation.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_ManHaigSimulate( Ivy_Man_t * p )
+{
+ Vec_Int_t * vNodes, * vLatches, * vLatchesD;
+ Ivy_Obj_t * pObj, * pTemp;
+ Ivy_Init_t In0, In1;
+ int i, k, Counter;
+ int fVerbose = 0;
+
+ // check choices
+ Ivy_ManCheckChoices( p );
+
+ // switch to HAIG
+ assert( p->pHaig != NULL );
+ p = p->pHaig;
+
+if ( fVerbose )
+Ivy_ManForEachPi( p, pObj, i )
+printf( "Setting PI %d\n", pObj->Id );
+
+ // collect latches and nodes in the DFS order
+ vNodes = Ivy_ManDfsSeq( p, &vLatches );
+
+if ( fVerbose )
+Ivy_ManForEachNodeVec( p, vNodes, pObj, i )
+printf( "Collected node %d with fanins %d and %d\n", pObj->Id, Ivy_ObjFanin0(pObj)->Id, Ivy_ObjFanin1(pObj)->Id );
+
+ // set the PI values
+ Ivy_ManConst1(p)->Init = IVY_INIT_1;
+ Ivy_ManForEachPi( p, pObj, i )
+ pObj->Init = IVY_INIT_0;
+
+ // set the latch values
+ Ivy_ManForEachNodeVec( p, vLatches, pObj, i )
+ pObj->Init = IVY_INIT_DC;
+ // set the latches of D to be determinate
+ vLatchesD = p->pData;
+ Ivy_ManForEachNodeVec( p, vLatchesD, pObj, i )
+ pObj->Init = IVY_INIT_0;
+
+ // perform several rounds of simulation
+ for ( k = 0; k < 10; k++ )
+ {
+ // count the number of non-determinate values
+ Counter = 0;
+ Ivy_ManForEachNodeVec( p, vLatches, pObj, i )
+ Counter += ( pObj->Init == IVY_INIT_DC );
+ printf( "Iter %d : Non-determinate = %d\n", k, Counter );
+
+ // simulate the internal nodes
+ Ivy_ManForEachNodeVec( p, vNodes, pObj, i )
+ {
+if ( fVerbose )
+printf( "Processing node %d with fanins %d and %d\n", pObj->Id, Ivy_ObjFanin0(pObj)->Id, Ivy_ObjFanin1(pObj)->Id );
+ In0 = Ivy_InitNotCond( Ivy_ObjFanin0(pObj)->Init, Ivy_ObjFaninC0(pObj) );
+ In1 = Ivy_InitNotCond( Ivy_ObjFanin1(pObj)->Init, Ivy_ObjFaninC1(pObj) );
+ pObj->Init = Ivy_ManHaigSimulateAnd( In0, In1 );
+ // simulate the equivalence class if the node is a representative
+ if ( pObj->pEquiv && Ivy_ObjRefs(pObj) > 0 )
+ {
+if ( fVerbose )
+printf( "Processing choice node %d\n", pObj->Id );
+ In0 = pObj->Init;
+ assert( !Ivy_IsComplement(pObj->pEquiv) );
+ for ( pTemp = pObj->pEquiv; pTemp != pObj; pTemp = Ivy_Regular(pTemp->pEquiv) )
+ {
+if ( fVerbose )
+printf( "Processing secondary node %d\n", pTemp->Id );
+ In1 = Ivy_InitNotCond( pTemp->Init, Ivy_IsComplement(pTemp->pEquiv) );
+ In0 = Ivy_ManHaigSimulateChoice( In0, In1 );
+ }
+ pObj->Init = In0;
+ }
+ }
+
+ // simulate the latches
+ Ivy_ManForEachNodeVec( p, vLatches, pObj, i )
+ {
+ pObj->Level = Ivy_ObjFanin0(pObj)->Init;
+if ( fVerbose )
+printf( "Using latch %d with fanin %d\n", pObj->Id, Ivy_ObjFanin0(pObj)->Id );
+ }
+ Ivy_ManForEachNodeVec( p, vLatches, pObj, i )
+ pObj->Init = pObj->Level, pObj->Level = 0;
+ }
+ // free arrays
+ Vec_IntFree( vNodes );
+ Vec_IntFree( vLatches );
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/ivy/ivyMan.c b/src/aig/ivy/ivyMan.c
new file mode 100644
index 00000000..07faef85
--- /dev/null
+++ b/src/aig/ivy/ivyMan.c
@@ -0,0 +1,546 @@
+/**CFile****************************************************************
+
+ FileName [ivyMan.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [And-Inverter Graph package.]
+
+ Synopsis [AIG manager.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - May 11, 2006.]
+
+ Revision [$Id: ivy_.c,v 1.00 2006/05/11 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "ivy.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Starts the AIG manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Man_t * Ivy_ManStart()
+{
+ Ivy_Man_t * p;
+ // start the manager
+ p = ALLOC( Ivy_Man_t, 1 );
+ memset( p, 0, sizeof(Ivy_Man_t) );
+ // perform initializations
+ p->Ghost.Id = -1;
+ p->nTravIds = 1;
+ p->fCatchExor = 1;
+ // allocate arrays for nodes
+ p->vPis = Vec_PtrAlloc( 100 );
+ p->vPos = Vec_PtrAlloc( 100 );
+ p->vBufs = Vec_PtrAlloc( 100 );
+ p->vObjs = Vec_PtrAlloc( 100 );
+ // prepare the internal memory manager
+ Ivy_ManStartMemory( p );
+ // create the constant node
+ p->pConst1 = Ivy_ManFetchMemory( p );
+ p->pConst1->fPhase = 1;
+ Vec_PtrPush( p->vObjs, p->pConst1 );
+ p->nCreated = 1;
+ // start the table
+ p->nTableSize = 10007;
+ p->pTable = ALLOC( int, p->nTableSize );
+ memset( p->pTable, 0, sizeof(int) * p->nTableSize );
+ return p;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Duplicates the AIG manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Man_t * Ivy_ManStartFrom( Ivy_Man_t * p )
+{
+ Ivy_Man_t * pNew;
+ Ivy_Obj_t * pObj;
+ int i;
+ // create the new manager
+ pNew = Ivy_ManStart();
+ // create the PIs
+ Ivy_ManConst1(p)->pEquiv = Ivy_ManConst1(pNew);
+ Ivy_ManForEachPi( p, pObj, i )
+ pObj->pEquiv = Ivy_ObjCreatePi(pNew);
+ return pNew;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Duplicates the AIG manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Man_t * Ivy_ManDup( Ivy_Man_t * p )
+{
+ Vec_Int_t * vNodes, * vLatches;
+ Ivy_Man_t * pNew;
+ Ivy_Obj_t * pObj;
+ int i;
+ // collect latches and nodes in the DFS order
+ vNodes = Ivy_ManDfsSeq( p, &vLatches );
+ // create the new manager
+ pNew = Ivy_ManStart();
+ // create the PIs
+ Ivy_ManConst1(p)->pEquiv = Ivy_ManConst1(pNew);
+ Ivy_ManForEachPi( p, pObj, i )
+ pObj->pEquiv = Ivy_ObjCreatePi(pNew);
+ // create the fake PIs for latches
+ Ivy_ManForEachNodeVec( p, vLatches, pObj, i )
+ pObj->pEquiv = Ivy_ObjCreatePi(pNew);
+ // duplicate internal nodes
+ Ivy_ManForEachNodeVec( p, vNodes, pObj, i )
+ if ( Ivy_ObjIsBuf(pObj) )
+ pObj->pEquiv = Ivy_ObjChild0Equiv(pObj);
+ else
+ pObj->pEquiv = Ivy_And( pNew, Ivy_ObjChild0Equiv(pObj), Ivy_ObjChild1Equiv(pObj) );
+ // add the POs
+ Ivy_ManForEachPo( p, pObj, i )
+ Ivy_ObjCreatePo( pNew, Ivy_ObjChild0Equiv(pObj) );
+ // transform additional PI nodes into latches and connect them
+ Ivy_ManForEachNodeVec( p, vLatches, pObj, i )
+ {
+ assert( !Ivy_ObjFaninC0(pObj) );
+ pObj->pEquiv->Type = IVY_LATCH;
+ pObj->pEquiv->Init = pObj->Init;
+ Ivy_ObjConnect( pNew, pObj->pEquiv, Ivy_ObjChild0Equiv(pObj), NULL );
+ }
+ // shrink the arrays
+ Vec_PtrShrink( pNew->vPis, Ivy_ManPiNum(p) );
+ // update the counters of different objects
+ pNew->nObjs[IVY_PI] -= Ivy_ManLatchNum(p);
+ pNew->nObjs[IVY_LATCH] += Ivy_ManLatchNum(p);
+ // free arrays
+ Vec_IntFree( vNodes );
+ Vec_IntFree( vLatches );
+ // make sure structural hashing did not change anything
+ assert( Ivy_ManNodeNum(p) == Ivy_ManNodeNum(pNew) );
+ assert( Ivy_ManLatchNum(p) == Ivy_ManLatchNum(pNew) );
+ // check the resulting network
+ if ( !Ivy_ManCheck(pNew) )
+ printf( "Ivy_ManMakeSeq(): The check has failed.\n" );
+ return pNew;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Stops the AIG manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Man_t * Ivy_ManFrames( Ivy_Man_t * pMan, int nLatches, int nFrames, int fInit, Vec_Ptr_t ** pvMapping )
+{
+ Vec_Ptr_t * vMapping;
+ Ivy_Man_t * pNew;
+ Ivy_Obj_t * pObj;
+ int i, f, nPis, nPos, nIdMax;
+ assert( Ivy_ManLatchNum(pMan) == 0 );
+ assert( nFrames > 0 );
+ // prepare the mapping
+ nPis = Ivy_ManPiNum(pMan) - nLatches;
+ nPos = Ivy_ManPoNum(pMan) - nLatches;
+ nIdMax = Ivy_ManObjIdMax(pMan);
+ // create the new manager
+ pNew = Ivy_ManStart();
+ // set the starting values of latch inputs
+ for ( i = 0; i < nLatches; i++ )
+ Ivy_ManPo(pMan, nPos+i)->pEquiv = fInit? Ivy_Not(Ivy_ManConst1(pNew)) : Ivy_ObjCreatePi(pNew);
+ // add timeframes
+ vMapping = Vec_PtrStart( nIdMax * nFrames + 1 );
+ for ( f = 0; f < nFrames; f++ )
+ {
+ // create PIs
+ Ivy_ManConst1(pMan)->pEquiv = Ivy_ManConst1(pNew);
+ for ( i = 0; i < nPis; i++ )
+ Ivy_ManPi(pMan, i)->pEquiv = Ivy_ObjCreatePi(pNew);
+ // transfer values to latch outputs
+ for ( i = 0; i < nLatches; i++ )
+ Ivy_ManPi(pMan, nPis+i)->pEquiv = Ivy_ManPo(pMan, nPos+i)->pEquiv;
+ // perform strashing
+ Ivy_ManForEachNode( pMan, pObj, i )
+ pObj->pEquiv = Ivy_And( pNew, Ivy_ObjChild0Equiv(pObj), Ivy_ObjChild1Equiv(pObj) );
+ // create POs
+ for ( i = 0; i < nPos; i++ )
+ Ivy_ManPo(pMan, i)->pEquiv = Ivy_ObjCreatePo( pNew, Ivy_ObjChild0Equiv(Ivy_ManPo(pMan, i)) );
+ // set the results of latch inputs
+ for ( i = 0; i < nLatches; i++ )
+ Ivy_ManPo(pMan, nPos+i)->pEquiv = Ivy_ObjChild0Equiv(Ivy_ManPo(pMan, nPos+i));
+ // save the pointers in this frame
+ Ivy_ManForEachObj( pMan, pObj, i )
+ Vec_PtrWriteEntry( vMapping, f * nIdMax + i, pObj->pEquiv );
+ }
+ // connect latches
+ if ( !fInit )
+ for ( i = 0; i < nLatches; i++ )
+ Ivy_ObjCreatePo( pNew, Ivy_ManPo(pMan, nPos+i)->pEquiv );
+ // remove dangling nodes
+ Ivy_ManCleanup(pNew);
+ *pvMapping = vMapping;
+ // check the resulting network
+ if ( !Ivy_ManCheck(pNew) )
+ printf( "Ivy_ManFrames(): The check has failed.\n" );
+ return pNew;
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Stops the AIG manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_ManStop( Ivy_Man_t * p )
+{
+ if ( p->time1 ) { PRT( "Update lev ", p->time1 ); }
+ if ( p->time2 ) { PRT( "Update levR ", p->time2 ); }
+// Ivy_TableProfile( p );
+// if ( p->vFanouts ) Ivy_ManStopFanout( p );
+ if ( p->vChunks ) Ivy_ManStopMemory( p );
+ if ( p->vRequired ) Vec_IntFree( p->vRequired );
+ if ( p->vPis ) Vec_PtrFree( p->vPis );
+ if ( p->vPos ) Vec_PtrFree( p->vPos );
+ if ( p->vBufs ) Vec_PtrFree( p->vBufs );
+ if ( p->vObjs ) Vec_PtrFree( p->vObjs );
+ free( p->pTable );
+ free( p );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Removes nodes without fanout.]
+
+ Description [Returns the number of dangling nodes removed.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_ManCleanup( Ivy_Man_t * p )
+{
+ Ivy_Obj_t * pNode;
+ int i, nNodesOld;
+ nNodesOld = Ivy_ManNodeNum(p);
+ Ivy_ManForEachObj( p, pNode, i )
+ if ( Ivy_ObjIsNode(pNode) || Ivy_ObjIsLatch(pNode) || Ivy_ObjIsBuf(pNode) )
+ if ( Ivy_ObjRefs(pNode) == 0 )
+ Ivy_ObjDelete_rec( p, pNode, 1 );
+//printf( "Cleanup removed %d nodes.\n", nNodesOld - Ivy_ManNodeNum(p) );
+ return nNodesOld - Ivy_ManNodeNum(p);
+}
+
+/**Function*************************************************************
+
+ Synopsis [Marks nodes reachable from the given one.]
+
+ Description [Returns the number of dangling nodes removed.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_ManCleanupSeq_rec( Ivy_Obj_t * pObj )
+{
+ if ( Ivy_ObjIsMarkA(pObj) )
+ return;
+ Ivy_ObjSetMarkA(pObj);
+ if ( pObj->pFanin0 != NULL )
+ Ivy_ManCleanupSeq_rec( Ivy_ObjFanin0(pObj) );
+ if ( pObj->pFanin1 != NULL )
+ Ivy_ManCleanupSeq_rec( Ivy_ObjFanin1(pObj) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Removes logic that does not feed into POs.]
+
+ Description [Returns the number of dangling nodes removed.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_ManCleanupSeq( Ivy_Man_t * p )
+{
+ Vec_Ptr_t * vNodes;
+ Ivy_Obj_t * pObj;
+ int i, RetValue;
+ // mark the constant and PIs
+ Ivy_ObjSetMarkA( Ivy_ManConst1(p) );
+ Ivy_ManForEachPi( p, pObj, i )
+ Ivy_ObjSetMarkA( pObj );
+ // mark nodes visited from POs
+ Ivy_ManForEachPo( p, pObj, i )
+ Ivy_ManCleanupSeq_rec( pObj );
+ // collect unmarked nodes
+ vNodes = Vec_PtrAlloc( 100 );
+ Ivy_ManForEachObj( p, pObj, i )
+ {
+ if ( Ivy_ObjIsMarkA(pObj) )
+ Ivy_ObjClearMarkA(pObj);
+ else
+ Vec_PtrPush( vNodes, pObj );
+ }
+ if ( Vec_PtrSize(vNodes) == 0 )
+ {
+ Vec_PtrFree( vNodes );
+//printf( "Sequential sweep cleaned out %d nodes.\n", 0 );
+ return 0;
+ }
+ // disconnect the marked objects
+ Vec_PtrForEachEntry( vNodes, pObj, i )
+ Ivy_ObjDisconnect( p, pObj );
+ // remove the dangling objects
+ Vec_PtrForEachEntry( vNodes, pObj, i )
+ {
+ assert( Ivy_ObjIsNode(pObj) || Ivy_ObjIsLatch(pObj) || Ivy_ObjIsBuf(pObj) );
+ assert( Ivy_ObjRefs(pObj) == 0 );
+ // update node counters of the manager
+ p->nObjs[pObj->Type]--;
+ p->nDeleted++;
+ // delete buffer from the array of buffers
+ if ( p->fFanout && Ivy_ObjIsBuf(pObj) )
+ Vec_PtrRemove( p->vBufs, pObj );
+ // free the node
+ Vec_PtrWriteEntry( p->vObjs, pObj->Id, NULL );
+ Ivy_ManRecycleMemory( p, pObj );
+ }
+ // return the number of nodes freed
+ RetValue = Vec_PtrSize(vNodes);
+ Vec_PtrFree( vNodes );
+//printf( "Sequential sweep cleaned out %d nodes.\n", RetValue );
+ return RetValue;
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Checks if latches form self-loop.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_ManLatchIsSelfFeed_rec( Ivy_Obj_t * pLatch, Ivy_Obj_t * pLatchRoot )
+{
+ if ( !Ivy_ObjIsLatch(pLatch) && !Ivy_ObjIsBuf(pLatch) )
+ return 0;
+ if ( pLatch == pLatchRoot )
+ return 1;
+ return Ivy_ManLatchIsSelfFeed_rec( Ivy_ObjFanin0(pLatch), pLatchRoot );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Checks if latches form self-loop.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_ManLatchIsSelfFeed( Ivy_Obj_t * pLatch )
+{
+ if ( !Ivy_ObjIsLatch(pLatch) )
+ return 0;
+ return Ivy_ManLatchIsSelfFeed_rec( Ivy_ObjFanin0(pLatch), pLatch );
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Returns the number of dangling nodes removed.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_ManPropagateBuffers( Ivy_Man_t * p, int fUpdateLevel )
+{
+ Ivy_Obj_t * pNode;
+ int LimitFactor = 100;
+ int NodeBeg = Ivy_ManNodeNum(p);
+ int nSteps;
+ for ( nSteps = 0; Vec_PtrSize(p->vBufs) > 0; nSteps++ )
+ {
+ pNode = Vec_PtrEntryLast(p->vBufs);
+ while ( Ivy_ObjIsBuf(pNode) )
+ pNode = Ivy_ObjReadFirstFanout( p, pNode );
+ // check if this buffer should remain
+ if ( Ivy_ManLatchIsSelfFeed(pNode) )
+ {
+ Vec_PtrPop(p->vBufs);
+ continue;
+ }
+//printf( "Propagating buffer %d with input %d and output %d\n", Ivy_ObjFaninId0(pNode), Ivy_ObjFaninId0(Ivy_ObjFanin0(pNode)), pNode->Id );
+//printf( "Latch num %d\n", Ivy_ManLatchNum(p) );
+ Ivy_NodeFixBufferFanins( p, pNode, fUpdateLevel );
+ if ( nSteps > NodeBeg * LimitFactor )
+ {
+ printf( "Structural hashing is not finished after %d forward latch moves.\n", NodeBeg * LimitFactor );
+ printf( "This circuit cannot be forward-retimed completely. Quitting.\n" );
+ break;
+ }
+ }
+// printf( "Number of steps = %d. Nodes beg = %d. Nodes end = %d.\n", nSteps, NodeBeg, Ivy_ManNodeNum(p) );
+ return nSteps;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Stops the AIG manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_ManPrintStats( Ivy_Man_t * p )
+{
+ printf( "PI/PO = %d/%d ", Ivy_ManPiNum(p), Ivy_ManPoNum(p) );
+ printf( "A = %7d. ", Ivy_ManAndNum(p) );
+ printf( "L = %5d. ", Ivy_ManLatchNum(p) );
+// printf( "X = %d. ", Ivy_ManExorNum(p) );
+// printf( "B = %3d. ", Ivy_ManBufNum(p) );
+ printf( "MaxID = %7d. ", Ivy_ManObjIdMax(p) );
+// printf( "Cre = %d. ", p->nCreated );
+// printf( "Del = %d. ", p->nDeleted );
+ printf( "Lev = %3d. ", Ivy_ManLatchNum(p)? -1 : Ivy_ManLevels(p) );
+ printf( "\n" );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Converts a combinational AIG manager into a sequential one.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_ManMakeSeq( Ivy_Man_t * p, int nLatches, int * pInits )
+{
+ Ivy_Obj_t * pObj, * pLatch;
+ Ivy_Init_t Init;
+ int i;
+ if ( nLatches == 0 )
+ return;
+ assert( nLatches < Ivy_ManPiNum(p) && nLatches < Ivy_ManPoNum(p) );
+ assert( Ivy_ManPiNum(p) == Vec_PtrSize(p->vPis) );
+ assert( Ivy_ManPoNum(p) == Vec_PtrSize(p->vPos) );
+ assert( Vec_PtrSize( p->vBufs ) == 0 );
+ // create fanouts
+ if ( p->fFanout == 0 )
+ Ivy_ManStartFanout( p );
+ // collect the POs to be converted into latches
+ for ( i = 0; i < nLatches; i++ )
+ {
+ // get the latch value
+ Init = pInits? pInits[i] : IVY_INIT_0;
+ // create latch
+ pObj = Ivy_ManPo( p, Ivy_ManPoNum(p) - nLatches + i );
+ pLatch = Ivy_Latch( p, Ivy_ObjChild0(pObj), Init );
+ Ivy_ObjDisconnect( p, pObj );
+ // recycle the old PO object
+ Vec_PtrWriteEntry( p->vObjs, pObj->Id, NULL );
+ Ivy_ManRecycleMemory( p, pObj );
+ // convert the corresponding PI to a buffer and connect it to the latch
+ pObj = Ivy_ManPi( p, Ivy_ManPiNum(p) - nLatches + i );
+ pObj->Type = IVY_BUF;
+ Ivy_ObjConnect( p, pObj, pLatch, NULL );
+ // save the buffer
+ Vec_PtrPush( p->vBufs, pObj );
+ }
+ // shrink the arrays
+ Vec_PtrShrink( p->vPis, Ivy_ManPiNum(p) - nLatches );
+ Vec_PtrShrink( p->vPos, Ivy_ManPoNum(p) - nLatches );
+ // update the counters of different objects
+ p->nObjs[IVY_PI] -= nLatches;
+ p->nObjs[IVY_PO] -= nLatches;
+ p->nObjs[IVY_BUF] += nLatches;
+ p->nDeleted -= 2 * nLatches;
+ // remove dangling nodes
+ Ivy_ManCleanup(p);
+ Ivy_ManCleanupSeq(p);
+/*
+ // check for dangling nodes
+ Ivy_ManForEachObj( p, pObj, i )
+ if ( !Ivy_ObjIsPi(pObj) && !Ivy_ObjIsPo(pObj) && !Ivy_ObjIsConst1(pObj) )
+ {
+ assert( Ivy_ObjRefs(pObj) > 0 );
+ assert( Ivy_ObjRefs(pObj) == Ivy_ObjFanoutNum(p, pObj) );
+ }
+*/
+ // perform hashing by propagating the buffers
+ Ivy_ManPropagateBuffers( p, 0 );
+ if ( Ivy_ManBufNum(p) )
+ printf( "The number of remaining buffers is %d.\n", Ivy_ManBufNum(p) );
+ // fix the levels
+ Ivy_ManResetLevels( p );
+ // check the resulting network
+ if ( !Ivy_ManCheck(p) )
+ printf( "Ivy_ManMakeSeq(): The check has failed.\n" );
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/ivy/ivyMem.c b/src/aig/ivy/ivyMem.c
new file mode 100644
index 00000000..2a96857c
--- /dev/null
+++ b/src/aig/ivy/ivyMem.c
@@ -0,0 +1,116 @@
+/**CFile****************************************************************
+
+ FileName [ivyMem.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [And-Inverter Graph package.]
+
+ Synopsis [Memory management for the AIG nodes.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - May 11, 2006.]
+
+ Revision [$Id: ivyMem.c,v 1.00 2006/05/11 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "ivy.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+// memory management
+#define IVY_PAGE_SIZE 12 // page size containing 2^IVY_PAGE_SIZE nodes
+#define IVY_PAGE_MASK 4095 // page bitmask (2^IVY_PAGE_SIZE)-1
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Starts the internal memory manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_ManStartMemory( Ivy_Man_t * p )
+{
+ p->vChunks = Vec_PtrAlloc( 128 );
+ p->vPages = Vec_PtrAlloc( 128 );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Stops the internal memory manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_ManStopMemory( Ivy_Man_t * p )
+{
+ void * pMemory;
+ int i;
+ Vec_PtrForEachEntry( p->vChunks, pMemory, i )
+ free( pMemory );
+ Vec_PtrFree( p->vChunks );
+ Vec_PtrFree( p->vPages );
+ p->pListFree = NULL;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Allocates additional memory for the nodes.]
+
+ Description [Allocates IVY_PAGE_SIZE nodes. Aligns memory by 32 bytes.
+ Records the pointer to the AIG manager in the -1 entry.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_ManAddMemory( Ivy_Man_t * p )
+{
+ char * pMemory;
+ int i, nBytes;
+ int EntrySizeMax = 128;
+ assert( sizeof(Ivy_Obj_t) <= EntrySizeMax );
+ assert( p->pListFree == NULL );
+// assert( (Ivy_ManObjNum(p) & IVY_PAGE_MASK) == 0 );
+ // allocate new memory page
+ nBytes = sizeof(Ivy_Obj_t) * (1<<IVY_PAGE_SIZE) + EntrySizeMax;
+ pMemory = ALLOC( char, nBytes );
+ Vec_PtrPush( p->vChunks, pMemory );
+ // align memory at the 32-byte boundary
+ pMemory = pMemory + EntrySizeMax - (((int)pMemory) & (EntrySizeMax-1));
+ // remember the manager in the first entry
+ Vec_PtrPush( p->vPages, pMemory );
+ // break the memory down into nodes
+ p->pListFree = (Ivy_Obj_t *)pMemory;
+ for ( i = 1; i <= IVY_PAGE_MASK; i++ )
+ {
+ *((char **)pMemory) = pMemory + sizeof(Ivy_Obj_t);
+ pMemory += sizeof(Ivy_Obj_t);
+ }
+ *((char **)pMemory) = NULL;
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/ivy/ivyMulti.c b/src/aig/ivy/ivyMulti.c
new file mode 100644
index 00000000..a7970156
--- /dev/null
+++ b/src/aig/ivy/ivyMulti.c
@@ -0,0 +1,301 @@
+/**CFile****************************************************************
+
+ FileName [ivyMulti.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [And-Inverter Graph package.]
+
+ Synopsis [Constructing multi-input AND/EXOR gates.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - May 11, 2006.]
+
+ Revision [$Id: ivyMulti.c,v 1.00 2006/05/11 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "ivy.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+#define IVY_EVAL_LIMIT 128
+
+typedef struct Ivy_Eva_t_ Ivy_Eva_t;
+struct Ivy_Eva_t_
+{
+ Ivy_Obj_t * pArg; // the argument node
+ unsigned Mask; // the mask of covered nodes
+ int Weight; // the number of covered nodes
+};
+
+static void Ivy_MultiPrint( Ivy_Man_t * p, Ivy_Eva_t * pEvals, int nLeaves, int nEvals );
+static int Ivy_MultiCover( Ivy_Man_t * p, Ivy_Eva_t * pEvals, int nLeaves, int nEvals, int nLimit, Vec_Ptr_t * vSols );
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Constructs a balanced tree while taking sharing into account.]
+
+ Description [Returns 1 if the implementation exists.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_MultiPlus( Ivy_Man_t * p, Vec_Ptr_t * vLeaves, Vec_Ptr_t * vCone, Ivy_Type_t Type, int nLimit, Vec_Ptr_t * vSols )
+{
+ static Ivy_Eva_t pEvals[IVY_EVAL_LIMIT];
+ Ivy_Eva_t * pEval, * pFan0, * pFan1;
+ Ivy_Obj_t * pObj, * pTemp;
+ int nEvals, nEvalsOld, i, k, x, nLeaves;
+ unsigned uMaskAll;
+
+ // consider special cases
+ nLeaves = Vec_PtrSize(vLeaves);
+ assert( nLeaves > 2 );
+ if ( nLeaves > 32 || nLeaves + Vec_PtrSize(vCone) > IVY_EVAL_LIMIT )
+ return 0;
+// if ( nLeaves == 1 )
+// return Vec_PtrEntry( vLeaves, 0 );
+// if ( nLeaves == 2 )
+// return Ivy_Oper( Vec_PtrEntry(vLeaves, 0), Vec_PtrEntry(vLeaves, 1), Type );
+
+ // set the leaf entries
+ uMaskAll = ((1 << nLeaves) - 1);
+ nEvals = 0;
+ Vec_PtrForEachEntry( vLeaves, pObj, i )
+ {
+ pEval = pEvals + nEvals;
+ pEval->pArg = pObj;
+ pEval->Mask = (1 << nEvals);
+ pEval->Weight = 1;
+ // mark the leaf
+ Ivy_Regular(pObj)->TravId = nEvals;
+ nEvals++;
+ }
+
+ // propagate masks through the cone
+ Vec_PtrForEachEntry( vCone, pObj, i )
+ {
+ pObj->TravId = nEvals + i;
+ if ( Ivy_ObjIsBuf(pObj) )
+ pEvals[pObj->TravId].Mask = pEvals[Ivy_ObjFanin0(pObj)->TravId].Mask;
+ else
+ pEvals[pObj->TravId].Mask = pEvals[Ivy_ObjFanin0(pObj)->TravId].Mask | pEvals[Ivy_ObjFanin1(pObj)->TravId].Mask;
+ }
+
+ // set the internal entries
+ Vec_PtrForEachEntry( vCone, pObj, i )
+ {
+ if ( i == Vec_PtrSize(vCone) - 1 )
+ break;
+ // skip buffers
+ if ( Ivy_ObjIsBuf(pObj) )
+ continue;
+ // skip nodes without external fanout
+ if ( Ivy_ObjRefs(pObj) == 0 )
+ continue;
+ assert( !Ivy_IsComplement(pObj) );
+ pEval = pEvals + nEvals;
+ pEval->pArg = pObj;
+ pEval->Mask = pEvals[pObj->TravId].Mask;
+ pEval->Weight = Extra_WordCountOnes(pEval->Mask);
+ // mark the node
+ pObj->TravId = nEvals;
+ nEvals++;
+ }
+
+ // find the available nodes
+ nEvalsOld = nEvals;
+ for ( i = 1; i < nEvals; i++ )
+ for ( k = 0; k < i; k++ )
+ {
+ pFan0 = pEvals + i;
+ pFan1 = pEvals + k;
+ pTemp = Ivy_TableLookup(p, Ivy_ObjCreateGhost(p, pFan0->pArg, pFan1->pArg, Type, IVY_INIT_NONE));
+ // skip nodes in the cone
+ if ( pTemp == NULL || pTemp->fMarkB )
+ continue;
+ // skip the leaves
+ for ( x = 0; x < nLeaves; x++ )
+ if ( pTemp == Ivy_Regular(vLeaves->pArray[x]) )
+ break;
+ if ( x < nLeaves )
+ continue;
+ pEval = pEvals + nEvals;
+ pEval->pArg = pTemp;
+ pEval->Mask = pFan0->Mask | pFan1->Mask;
+ pEval->Weight = (pFan0->Mask & pFan1->Mask) ? Extra_WordCountOnes(pEval->Mask) : pFan0->Weight + pFan1->Weight;
+ // save the argument
+ pObj->TravId = nEvals;
+ nEvals++;
+ // quit if the number of entries exceeded the limit
+ if ( nEvals == IVY_EVAL_LIMIT )
+ goto Outside;
+ // quit if we found an acceptable implementation
+ if ( pEval->Mask == uMaskAll )
+ goto Outside;
+ }
+Outside:
+
+// Ivy_MultiPrint( pEvals, nLeaves, nEvals );
+ if ( !Ivy_MultiCover( p, pEvals, nLeaves, nEvals, nLimit, vSols ) )
+ return 0;
+ assert( Vec_PtrSize( vSols ) > 0 );
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes how many uncovered ones this one covers.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_MultiPrint( Ivy_Man_t * p, Ivy_Eva_t * pEvals, int nLeaves, int nEvals )
+{
+ Ivy_Eva_t * pEval;
+ int i, k;
+ for ( i = nLeaves; i < nEvals; i++ )
+ {
+ pEval = pEvals + i;
+ printf( "%2d (id = %5d) : |", i-nLeaves, Ivy_ObjId(pEval->pArg) );
+ for ( k = 0; k < nLeaves; k++ )
+ {
+ if ( pEval->Mask & (1 << k) )
+ printf( "+" );
+ else
+ printf( " " );
+ }
+ printf( "| Lev = %d.\n", Ivy_ObjLevel(pEval->pArg) );
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes how many uncovered ones this one covers.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int Ivy_MultiWeight( unsigned uMask, int nMaskOnes, unsigned uFound )
+{
+ assert( uMask & ~uFound );
+ if ( (uMask & uFound) == 0 )
+ return nMaskOnes;
+ return Extra_WordCountOnes( uMask & ~uFound );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Finds the cover.]
+
+ Description [Returns 1 if the cover is found.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_MultiCover( Ivy_Man_t * p, Ivy_Eva_t * pEvals, int nLeaves, int nEvals, int nLimit, Vec_Ptr_t * vSols )
+{
+ int fVerbose = 0;
+ Ivy_Eva_t * pEval, * pEvalBest;
+ unsigned uMaskAll, uFound, uTemp;
+ int i, k, BestK, WeightBest, WeightCur, LevelBest, LevelCur;
+ uMaskAll = (nLeaves == 32)? (~(unsigned)0) : ((1 << nLeaves) - 1);
+ uFound = 0;
+ // solve the covering problem
+ if ( fVerbose )
+ printf( "Solution: " );
+ Vec_PtrClear( vSols );
+ for ( i = 0; i < nLimit; i++ )
+ {
+ BestK = -1;
+ for ( k = nEvals - 1; k >= 0; k-- )
+ {
+ pEval = pEvals + k;
+ if ( (pEval->Mask & ~uFound) == 0 )
+ continue;
+ if ( BestK == -1 )
+ {
+ BestK = k;
+ pEvalBest = pEval;
+ WeightBest = Ivy_MultiWeight( pEvalBest->Mask, pEvalBest->Weight, uFound );
+ LevelBest = Ivy_ObjLevel( Ivy_Regular(pEvalBest->pArg) );
+ continue;
+ }
+ // compare BestK and the new one (k)
+ WeightCur = Ivy_MultiWeight( pEval->Mask, pEval->Weight, uFound );
+ LevelCur = Ivy_ObjLevel( Ivy_Regular(pEval->pArg) );
+ if ( WeightBest < WeightCur ||
+ (WeightBest == WeightCur && LevelBest > LevelCur) )
+ {
+ BestK = k;
+ pEvalBest = pEval;
+ WeightBest = WeightCur;
+ LevelBest = LevelCur;
+ }
+ }
+ assert( BestK != -1 );
+ // if the cost is only 1, take the leaf
+ if ( WeightBest == 1 && BestK >= nLeaves )
+ {
+ uTemp = (pEvalBest->Mask & ~uFound);
+ for ( k = 0; k < nLeaves; k++ )
+ if ( uTemp & (1 << k) )
+ break;
+ assert( k < nLeaves );
+ BestK = k;
+ pEvalBest = pEvals + BestK;
+ }
+ if ( fVerbose )
+ {
+ if ( BestK < nLeaves )
+ printf( "L(%d) ", BestK );
+ else
+ printf( "%d ", BestK - nLeaves );
+ }
+ // update the found set
+ Vec_PtrPush( vSols, pEvalBest->pArg );
+ uFound |= pEvalBest->Mask;
+ if ( uFound == uMaskAll )
+ break;
+ }
+ if ( uFound == uMaskAll )
+ {
+ if ( fVerbose )
+ printf( " Found \n\n" );
+ return 1;
+ }
+ else
+ {
+ if ( fVerbose )
+ printf( " Not found \n\n" );
+ return 0;
+ }
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/ivy/ivyMulti8.c b/src/aig/ivy/ivyMulti8.c
new file mode 100644
index 00000000..059d1500
--- /dev/null
+++ b/src/aig/ivy/ivyMulti8.c
@@ -0,0 +1,427 @@
+/**CFile****************************************************************
+
+ FileName [ivyMulti.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [And-Inverter Graph package.]
+
+ Synopsis [Constructing multi-input AND/EXOR gates.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - May 11, 2006.]
+
+ Revision [$Id: ivyMulti.c,v 1.00 2006/05/11 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "ivy.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+typedef struct Ivy_Eval_t_ Ivy_Eval_t;
+struct Ivy_Eval_t_
+{
+ unsigned Mask : 5; // the mask of covered nodes
+ unsigned Weight : 3; // the number of covered nodes
+ unsigned Cost : 4; // the number of overlapping nodes
+ unsigned Level : 12; // the level of this node
+ unsigned Fan0 : 4; // the first fanin
+ unsigned Fan1 : 4; // the second fanin
+};
+
+static Ivy_Obj_t * Ivy_MultiBuild_rec( Ivy_Eval_t * pEvals, int iNum, Ivy_Obj_t ** pArgs, int nArgs, Ivy_Type_t Type );
+static void Ivy_MultiSort( Ivy_Obj_t ** pArgs, int nArgs );
+static int Ivy_MultiPushUniqueOrderByLevel( Ivy_Obj_t ** pArray, int nArgs, Ivy_Obj_t * pNode );
+static Ivy_Obj_t * Ivy_MultiEval( Ivy_Obj_t ** pArgs, int nArgs, Ivy_Type_t Type );
+
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Constructs the well-balanced tree of gates.]
+
+ Description [Disregards levels and possible logic sharing.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Obj_t * Ivy_Multi_rec( Ivy_Obj_t ** ppObjs, int nObjs, Ivy_Type_t Type )
+{
+ Ivy_Obj_t * pObj1, * pObj2;
+ if ( nObjs == 1 )
+ return ppObjs[0];
+ pObj1 = Ivy_Multi_rec( ppObjs, nObjs/2, Type );
+ pObj2 = Ivy_Multi_rec( ppObjs + nObjs/2, nObjs - nObjs/2, Type );
+ return Ivy_Oper( pObj1, pObj2, Type );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Constructs a balanced tree while taking sharing into account.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Obj_t * Ivy_Multi( Ivy_Obj_t ** pArgsInit, int nArgs, Ivy_Type_t Type )
+{
+ static char NumBits[32] = {0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5};
+ static Ivy_Eval_t pEvals[15+15*14/2];
+ static Ivy_Obj_t * pArgs[16];
+ Ivy_Eval_t * pEva, * pEvaBest;
+ int nArgsNew, nEvals, i, k;
+ Ivy_Obj_t * pTemp;
+
+ // consider the case of one argument
+ assert( nArgs > 0 );
+ if ( nArgs == 1 )
+ return pArgsInit[0];
+ // consider the case of two arguments
+ if ( nArgs == 2 )
+ return Ivy_Oper( pArgsInit[0], pArgsInit[1], Type );
+
+//Ivy_MultiEval( pArgsInit, nArgs, Type ); printf( "\n" );
+
+ // set the initial ones
+ for ( i = 0; i < nArgs; i++ )
+ {
+ pArgs[i] = pArgsInit[i];
+ pEva = pEvals + i;
+ pEva->Mask = (1 << i);
+ pEva->Weight = 1;
+ pEva->Cost = 0;
+ pEva->Level = Ivy_Regular(pArgs[i])->Level;
+ pEva->Fan0 = 0;
+ pEva->Fan1 = 0;
+ }
+
+ // find the available nodes
+ pEvaBest = pEvals;
+ nArgsNew = nArgs;
+ for ( i = 1; i < nArgsNew; i++ )
+ for ( k = 0; k < i; k++ )
+ if ( pTemp = Ivy_TableLookup(Ivy_ObjCreateGhost(pArgs[k], pArgs[i], Type, IVY_INIT_NONE)) )
+ {
+ pEva = pEvals + nArgsNew;
+ pEva->Mask = pEvals[k].Mask | pEvals[i].Mask;
+ pEva->Weight = NumBits[pEva->Mask];
+ pEva->Cost = pEvals[k].Cost + pEvals[i].Cost + NumBits[pEvals[k].Mask & pEvals[i].Mask];
+ pEva->Level = 1 + IVY_MAX(pEvals[k].Level, pEvals[i].Level);
+ pEva->Fan0 = k;
+ pEva->Fan1 = i;
+// assert( pEva->Level == (unsigned)Ivy_ObjLevel(pTemp) );
+ // compare
+ if ( pEvaBest->Weight < pEva->Weight ||
+ pEvaBest->Weight == pEva->Weight && pEvaBest->Cost > pEva->Cost ||
+ pEvaBest->Weight == pEva->Weight && pEvaBest->Cost == pEva->Cost && pEvaBest->Level > pEva->Level )
+ pEvaBest = pEva;
+ // save the argument
+ pArgs[nArgsNew++] = pTemp;
+ if ( nArgsNew == 15 )
+ goto Outside;
+ }
+Outside:
+
+// printf( "Best = %d.\n", pEvaBest - pEvals );
+
+ // the case of no common nodes
+ if ( nArgsNew == nArgs )
+ {
+ Ivy_MultiSort( pArgs, nArgs );
+ return Ivy_MultiBalance_rec( pArgs, nArgs, Type );
+ }
+ // the case of one common node
+ if ( nArgsNew == nArgs + 1 )
+ {
+ assert( pEvaBest - pEvals == nArgs );
+ k = 0;
+ for ( i = 0; i < nArgs; i++ )
+ if ( i != (int)pEvaBest->Fan0 && i != (int)pEvaBest->Fan1 )
+ pArgs[k++] = pArgs[i];
+ pArgs[k++] = pArgs[nArgs];
+ assert( k == nArgs - 1 );
+ nArgs = k;
+ Ivy_MultiSort( pArgs, nArgs );
+ return Ivy_MultiBalance_rec( pArgs, nArgs, Type );
+ }
+ // the case when there is a node that covers everything
+ if ( (int)pEvaBest->Mask == ((1 << nArgs) - 1) )
+ return Ivy_MultiBuild_rec( pEvals, pEvaBest - pEvals, pArgs, nArgsNew, Type );
+
+ // evaluate node pairs
+ nEvals = nArgsNew;
+ for ( i = 1; i < nArgsNew; i++ )
+ for ( k = 0; k < i; k++ )
+ {
+ pEva = pEvals + nEvals;
+ pEva->Mask = pEvals[k].Mask | pEvals[i].Mask;
+ pEva->Weight = NumBits[pEva->Mask];
+ pEva->Cost = pEvals[k].Cost + pEvals[i].Cost + NumBits[pEvals[k].Mask & pEvals[i].Mask];
+ pEva->Level = 1 + IVY_MAX(pEvals[k].Level, pEvals[i].Level);
+ pEva->Fan0 = k;
+ pEva->Fan1 = i;
+ // compare
+ if ( pEvaBest->Weight < pEva->Weight ||
+ pEvaBest->Weight == pEva->Weight && pEvaBest->Cost > pEva->Cost ||
+ pEvaBest->Weight == pEva->Weight && pEvaBest->Cost == pEva->Cost && pEvaBest->Level > pEva->Level )
+ pEvaBest = pEva;
+ // save the argument
+ nEvals++;
+ }
+ assert( pEvaBest - pEvals >= nArgsNew );
+
+// printf( "Used (%d, %d).\n", pEvaBest->Fan0, pEvaBest->Fan1 );
+
+ // get the best implementation
+ pTemp = Ivy_MultiBuild_rec( pEvals, pEvaBest - pEvals, pArgs, nArgsNew, Type );
+
+ // collect those not covered by EvaBest
+ k = 0;
+ for ( i = 0; i < nArgs; i++ )
+ if ( (pEvaBest->Mask & (1 << i)) == 0 )
+ pArgs[k++] = pArgs[i];
+ pArgs[k++] = pTemp;
+ assert( k == nArgs - (int)pEvaBest->Weight + 1 );
+ nArgs = k;
+ Ivy_MultiSort( pArgs, nArgs );
+ return Ivy_MultiBalance_rec( pArgs, nArgs, Type );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Implements multi-input AND/EXOR operation.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Obj_t * Ivy_MultiBuild_rec( Ivy_Eval_t * pEvals, int iNum, Ivy_Obj_t ** pArgs, int nArgs, Ivy_Type_t Type )
+{
+ Ivy_Obj_t * pNode0, * pNode1;
+ if ( iNum < nArgs )
+ return pArgs[iNum];
+ pNode0 = Ivy_MultiBuild_rec( pEvals, pEvals[iNum].Fan0, pArgs, nArgs, Type );
+ pNode1 = Ivy_MultiBuild_rec( pEvals, pEvals[iNum].Fan1, pArgs, nArgs, Type );
+ return Ivy_Oper( pNode0, pNode1, Type );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Selection-sorts the nodes in the decreasing over of level.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_MultiSort( Ivy_Obj_t ** pArgs, int nArgs )
+{
+ Ivy_Obj_t * pTemp;
+ int i, j, iBest;
+
+ for ( i = 0; i < nArgs-1; i++ )
+ {
+ iBest = i;
+ for ( j = i+1; j < nArgs; j++ )
+ if ( Ivy_Regular(pArgs[j])->Level > Ivy_Regular(pArgs[iBest])->Level )
+ iBest = j;
+ pTemp = pArgs[i];
+ pArgs[i] = pArgs[iBest];
+ pArgs[iBest] = pTemp;
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Inserts a new node in the order by levels.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_MultiPushUniqueOrderByLevel( Ivy_Obj_t ** pArray, int nArgs, Ivy_Obj_t * pNode )
+{
+ Ivy_Obj_t * pNode1, * pNode2;
+ int i;
+ // try to find the node in the array
+ for ( i = 0; i < nArgs; i++ )
+ if ( pArray[i] == pNode )
+ return nArgs;
+ // put the node last
+ pArray[nArgs++] = pNode;
+ // find the place to put the new node
+ for ( i = nArgs-1; i > 0; i-- )
+ {
+ pNode1 = pArray[i ];
+ pNode2 = pArray[i-1];
+ if ( Ivy_Regular(pNode1)->Level <= Ivy_Regular(pNode2)->Level )
+ break;
+ pArray[i ] = pNode2;
+ pArray[i-1] = pNode1;
+ }
+ return nArgs;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Balances the array recursively.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Obj_t * Ivy_MultiBalance_rec( Ivy_Obj_t ** pArgs, int nArgs, Ivy_Type_t Type )
+{
+ Ivy_Obj_t * pNodeNew;
+ // consider the case of one argument
+ assert( nArgs > 0 );
+ if ( nArgs == 1 )
+ return pArgs[0];
+ // consider the case of two arguments
+ if ( nArgs == 2 )
+ return Ivy_Oper( pArgs[0], pArgs[1], Type );
+ // get the last two nodes
+ pNodeNew = Ivy_Oper( pArgs[nArgs-1], pArgs[nArgs-2], Type );
+ // add the new node
+ nArgs = Ivy_MultiPushUniqueOrderByLevel( pArgs, nArgs - 2, pNodeNew );
+ return Ivy_MultiBalance_rec( pArgs, nArgs, Type );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Implements multi-input AND/EXOR operation.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Obj_t * Ivy_MultiEval( Ivy_Obj_t ** pArgs, int nArgs, Ivy_Type_t Type )
+{
+ Ivy_Obj_t * pTemp;
+ int i, k;
+ int nArgsOld = nArgs;
+ for ( i = 0; i < nArgs; i++ )
+ printf( "%d[%d] ", i, Ivy_Regular(pArgs[i])->Level );
+ for ( i = 1; i < nArgs; i++ )
+ for ( k = 0; k < i; k++ )
+ {
+ pTemp = Ivy_TableLookup(Ivy_ObjCreateGhost(pArgs[k], pArgs[i], Type, IVY_INIT_NONE));
+ if ( pTemp != NULL )
+ {
+ printf( "%d[%d]=(%d,%d) ", nArgs, Ivy_Regular(pTemp)->Level, k, i );
+ pArgs[nArgs++] = pTemp;
+ }
+ }
+ printf( " ((%d/%d)) ", nArgsOld, nArgs-nArgsOld );
+ return NULL;
+}
+
+
+
+/**Function*************************************************************
+
+ Synopsis [Old code.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Obj_t * Ivy_Multi1( Ivy_Obj_t ** pArgs, int nArgs, Ivy_Type_t Type )
+{
+ Ivy_Obj_t * pArgsRef[5], * pTemp;
+ int i, k, m, nArgsNew, Counter = 0;
+
+
+//Ivy_MultiEval( pArgs, nArgs, Type ); printf( "\n" );
+
+
+ assert( Type == IVY_AND || Type == IVY_EXOR );
+ assert( nArgs > 0 );
+ if ( nArgs == 1 )
+ return pArgs[0];
+
+ // find the nodes with more than one fanout
+ nArgsNew = 0;
+ for ( i = 0; i < nArgs; i++ )
+ if ( Ivy_ObjRefs( Ivy_Regular(pArgs[i]) ) > 0 )
+ pArgsRef[nArgsNew++] = pArgs[i];
+
+ // go through pairs
+ if ( nArgsNew >= 2 )
+ for ( i = 0; i < nArgsNew; i++ )
+ for ( k = i + 1; k < nArgsNew; k++ )
+ if ( pTemp = Ivy_TableLookup(Ivy_ObjCreateGhost(pArgsRef[i], pArgsRef[k], Type, IVY_INIT_NONE)) )
+ Counter++;
+// printf( "%d", Counter );
+
+ // go through pairs
+ if ( nArgsNew >= 2 )
+ for ( i = 0; i < nArgsNew; i++ )
+ for ( k = i + 1; k < nArgsNew; k++ )
+ if ( pTemp = Ivy_TableLookup(Ivy_ObjCreateGhost(pArgsRef[i], pArgsRef[k], Type, IVY_INIT_NONE)) )
+ {
+ nArgsNew = 0;
+ for ( m = 0; m < nArgs; m++ )
+ if ( pArgs[m] != pArgsRef[i] && pArgs[m] != pArgsRef[k] )
+ pArgs[nArgsNew++] = pArgs[m];
+ pArgs[nArgsNew++] = pTemp;
+ assert( nArgsNew == nArgs - 1 );
+ return Ivy_Multi1( pArgs, nArgsNew, Type );
+ }
+ return Ivy_Multi_rec( pArgs, nArgs, Type );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Old code.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Obj_t * Ivy_Multi2( Ivy_Obj_t ** pArgs, int nArgs, Ivy_Type_t Type )
+{
+ assert( Type == IVY_AND || Type == IVY_EXOR );
+ assert( nArgs > 0 );
+ return Ivy_Multi_rec( pArgs, nArgs, Type );
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/ivy/ivyObj.c b/src/aig/ivy/ivyObj.c
new file mode 100644
index 00000000..59dda19c
--- /dev/null
+++ b/src/aig/ivy/ivyObj.c
@@ -0,0 +1,476 @@
+/**CFile****************************************************************
+
+ FileName [ivyObj.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [And-Inverter Graph package.]
+
+ Synopsis [Adding/removing objects.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - May 11, 2006.]
+
+ Revision [$Id: ivyObj.c,v 1.00 2006/05/11 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "ivy.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Create the new node assuming it does not exist.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Obj_t * Ivy_ObjCreatePi( Ivy_Man_t * p )
+{
+ return Ivy_ObjCreate( p, Ivy_ObjCreateGhost(p, NULL, NULL, IVY_PI, IVY_INIT_NONE) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Create the new node assuming it does not exist.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Obj_t * Ivy_ObjCreatePo( Ivy_Man_t * p, Ivy_Obj_t * pDriver )
+{
+ return Ivy_ObjCreate( p, Ivy_ObjCreateGhost(p, pDriver, NULL, IVY_PO, IVY_INIT_NONE) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Create the new node assuming it does not exist.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Obj_t * Ivy_ObjCreate( Ivy_Man_t * p, Ivy_Obj_t * pGhost )
+{
+ Ivy_Obj_t * pObj;
+ assert( !Ivy_IsComplement(pGhost) );
+ assert( Ivy_ObjIsGhost(pGhost) );
+ assert( Ivy_TableLookup(p, pGhost) == NULL );
+ // get memory for the new object
+ pObj = Ivy_ManFetchMemory( p );
+ assert( Ivy_ObjIsNone(pObj) );
+ pObj->Id = Vec_PtrSize(p->vObjs);
+ Vec_PtrPush( p->vObjs, pObj );
+ // add basic info (fanins, compls, type, init)
+ pObj->Type = pGhost->Type;
+ pObj->Init = pGhost->Init;
+ // add connections
+ Ivy_ObjConnect( p, pObj, pGhost->pFanin0, pGhost->pFanin1 );
+ // compute level
+ if ( Ivy_ObjIsNode(pObj) )
+ pObj->Level = Ivy_ObjLevelNew(pObj);
+ else if ( Ivy_ObjIsLatch(pObj) )
+ pObj->Level = 0;
+ else if ( Ivy_ObjIsOneFanin(pObj) )
+ pObj->Level = Ivy_ObjFanin0(pObj)->Level;
+ else if ( !Ivy_ObjIsPi(pObj) )
+ assert( 0 );
+ // create phase
+ if ( Ivy_ObjIsNode(pObj) )
+ pObj->fPhase = Ivy_ObjFaninPhase(Ivy_ObjChild0(pObj)) & Ivy_ObjFaninPhase(Ivy_ObjChild1(pObj));
+ else if ( Ivy_ObjIsOneFanin(pObj) )
+ pObj->fPhase = Ivy_ObjFaninPhase(Ivy_ObjChild0(pObj));
+ // set the fail TFO flag
+ if ( Ivy_ObjIsNode(pObj) )
+ pObj->fFailTfo = Ivy_ObjFanin0(pObj)->fFailTfo | Ivy_ObjFanin1(pObj)->fFailTfo;
+ // mark the fanins in a special way if the node is EXOR
+ if ( Ivy_ObjIsExor(pObj) )
+ {
+ Ivy_ObjFanin0(pObj)->fExFan = 1;
+ Ivy_ObjFanin1(pObj)->fExFan = 1;
+ }
+ // add PIs/POs to the arrays
+ if ( Ivy_ObjIsPi(pObj) )
+ Vec_PtrPush( p->vPis, pObj );
+ else if ( Ivy_ObjIsPo(pObj) )
+ Vec_PtrPush( p->vPos, pObj );
+// else if ( Ivy_ObjIsBuf(pObj) )
+// Vec_PtrPush( p->vBufs, pObj );
+ if ( p->vRequired && Vec_IntSize(p->vRequired) <= pObj->Id )
+ Vec_IntFillExtra( p->vRequired, 2 * Vec_IntSize(p->vRequired), 1000000 );
+ // update node counters of the manager
+ p->nObjs[Ivy_ObjType(pObj)]++;
+ p->nCreated++;
+
+// printf( "Adding %sAIG node: ", p->pHaig==NULL? "H":" " );
+// Ivy_ObjPrintVerbose( p, pObj, p->pHaig==NULL );
+// printf( "\n" );
+
+ // if HAIG is defined, create a corresponding node
+ if ( p->pHaig )
+ Ivy_ManHaigCreateObj( p, pObj );
+ return pObj;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Connect the object to the fanin.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_ObjConnect( Ivy_Man_t * p, Ivy_Obj_t * pObj, Ivy_Obj_t * pFan0, Ivy_Obj_t * pFan1 )
+{
+ assert( !Ivy_IsComplement(pObj) );
+ assert( Ivy_ObjIsPi(pObj) || Ivy_ObjIsOneFanin(pObj) || pFan1 != NULL );
+ // add the first fanin
+ pObj->pFanin0 = pFan0;
+ pObj->pFanin1 = pFan1;
+ // increment references of the fanins and add their fanouts
+ if ( Ivy_ObjFanin0(pObj) != NULL )
+ {
+ Ivy_ObjRefsInc( Ivy_ObjFanin0(pObj) );
+ if ( p->fFanout )
+ Ivy_ObjAddFanout( p, Ivy_ObjFanin0(pObj), pObj );
+ }
+ if ( Ivy_ObjFanin1(pObj) != NULL )
+ {
+ Ivy_ObjRefsInc( Ivy_ObjFanin1(pObj) );
+ if ( p->fFanout )
+ Ivy_ObjAddFanout( p, Ivy_ObjFanin1(pObj), pObj );
+ }
+ // add the node to the structural hash table
+ Ivy_TableInsert( p, pObj );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Connect the object to the fanin.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_ObjDisconnect( Ivy_Man_t * p, Ivy_Obj_t * pObj )
+{
+ assert( !Ivy_IsComplement(pObj) );
+ assert( Ivy_ObjIsPi(pObj) || Ivy_ObjIsOneFanin(pObj) || Ivy_ObjFanin1(pObj) != NULL );
+ // remove connections
+ if ( pObj->pFanin0 != NULL )
+ {
+ Ivy_ObjRefsDec(Ivy_ObjFanin0(pObj));
+ if ( p->fFanout )
+ Ivy_ObjDeleteFanout( p, Ivy_ObjFanin0(pObj), pObj );
+ }
+ if ( pObj->pFanin1 != NULL )
+ {
+ Ivy_ObjRefsDec(Ivy_ObjFanin1(pObj));
+ if ( p->fFanout )
+ Ivy_ObjDeleteFanout( p, Ivy_ObjFanin1(pObj), pObj );
+ }
+ assert( pObj->pNextFan0 == NULL );
+ assert( pObj->pNextFan1 == NULL );
+ assert( pObj->pPrevFan0 == NULL );
+ assert( pObj->pPrevFan1 == NULL );
+ // remove the node from the structural hash table
+ Ivy_TableDelete( p, pObj );
+ // add the first fanin
+ pObj->pFanin0 = NULL;
+ pObj->pFanin1 = NULL;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Replaces the first fanin of the node by the new fanin.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_ObjPatchFanin0( Ivy_Man_t * p, Ivy_Obj_t * pObj, Ivy_Obj_t * pFaninNew )
+{
+ Ivy_Obj_t * pFaninOld;
+ assert( !Ivy_IsComplement(pObj) );
+ pFaninOld = Ivy_ObjFanin0(pObj);
+ // decrement ref and remove fanout
+ Ivy_ObjRefsDec( pFaninOld );
+ if ( p->fFanout )
+ Ivy_ObjDeleteFanout( p, pFaninOld, pObj );
+ // update the fanin
+ pObj->pFanin0 = pFaninNew;
+ // increment ref and add fanout
+ Ivy_ObjRefsInc( Ivy_Regular(pFaninNew) );
+ if ( p->fFanout )
+ Ivy_ObjAddFanout( p, Ivy_Regular(pFaninNew), pObj );
+ // get rid of old fanin
+ if ( !Ivy_ObjIsPi(pFaninOld) && !Ivy_ObjIsConst1(pFaninOld) && Ivy_ObjRefs(pFaninOld) == 0 )
+ Ivy_ObjDelete_rec( p, pFaninOld, 1 );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Deletes the node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_ObjDelete( Ivy_Man_t * p, Ivy_Obj_t * pObj, int fFreeTop )
+{
+ assert( !Ivy_IsComplement(pObj) );
+ assert( Ivy_ObjRefs(pObj) == 0 || !fFreeTop );
+ // update node counters of the manager
+ p->nObjs[pObj->Type]--;
+ p->nDeleted++;
+ // remove connections
+ Ivy_ObjDisconnect( p, pObj );
+ // remove PIs/POs from the arrays
+ if ( Ivy_ObjIsPi(pObj) )
+ Vec_PtrRemove( p->vPis, pObj );
+ else if ( Ivy_ObjIsPo(pObj) )
+ Vec_PtrRemove( p->vPos, pObj );
+ else if ( p->fFanout && Ivy_ObjIsBuf(pObj) )
+ Vec_PtrRemove( p->vBufs, pObj );
+ // clean and recycle the entry
+ if ( fFreeTop )
+ {
+ // free the node
+ Vec_PtrWriteEntry( p->vObjs, pObj->Id, NULL );
+ Ivy_ManRecycleMemory( p, pObj );
+ }
+ else
+ {
+ int nRefsOld = pObj->nRefs;
+ Ivy_Obj_t * pFanout = pObj->pFanout;
+ Ivy_ObjClean( pObj );
+ pObj->pFanout = pFanout;
+ pObj->nRefs = nRefsOld;
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Deletes the MFFC of the node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_ObjDelete_rec( Ivy_Man_t * p, Ivy_Obj_t * pObj, int fFreeTop )
+{
+ Ivy_Obj_t * pFanin0, * pFanin1;
+ assert( !Ivy_IsComplement(pObj) );
+ assert( !Ivy_ObjIsNone(pObj) );
+ if ( Ivy_ObjIsConst1(pObj) || Ivy_ObjIsPi(pObj) )
+ return;
+ pFanin0 = Ivy_ObjFanin0(pObj);
+ pFanin1 = Ivy_ObjFanin1(pObj);
+ Ivy_ObjDelete( p, pObj, fFreeTop );
+ if ( pFanin0 && !Ivy_ObjIsNone(pFanin0) && Ivy_ObjRefs(pFanin0) == 0 )
+ Ivy_ObjDelete_rec( p, pFanin0, 1 );
+ if ( pFanin1 && !Ivy_ObjIsNone(pFanin1) && Ivy_ObjRefs(pFanin1) == 0 )
+ Ivy_ObjDelete_rec( p, pFanin1, 1 );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Replaces one object by another.]
+
+ Description [Both objects are currently in the manager. The new object
+ (pObjNew) should be used instead of the old object (pObjOld). If the
+ new object is complemented or used, the buffer is added.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_ObjReplace( Ivy_Man_t * p, Ivy_Obj_t * pObjOld, Ivy_Obj_t * pObjNew, int fDeleteOld, int fFreeTop, int fUpdateLevel )
+{
+ int nRefsOld;//, clk;
+ // the object to be replaced cannot be complemented
+ assert( !Ivy_IsComplement(pObjOld) );
+ // the object to be replaced cannot be a terminal
+ assert( Ivy_ObjIsNone(pObjOld) || !Ivy_ObjIsPi(pObjOld) );
+ // the object to be used cannot be a PO or assert
+ assert( !Ivy_ObjIsBuf(Ivy_Regular(pObjNew)) );
+ // the object cannot be the same
+ assert( pObjOld != Ivy_Regular(pObjNew) );
+//printf( "Replacing %d by %d.\n", Ivy_Regular(pObjOld)->Id, Ivy_Regular(pObjNew)->Id );
+
+ // if HAIG is defined, create the choice node
+ if ( p->pHaig )
+ {
+// if ( pObjOld->Id == 31 )
+// {
+// Ivy_ManShow( p, 0 );
+// Ivy_ManShow( p->pHaig, 1 );
+// }
+ Ivy_ManHaigCreateChoice( p, pObjOld, pObjNew );
+ }
+ // if the new object is complemented or already used, add the buffer
+ if ( Ivy_IsComplement(pObjNew) || Ivy_ObjIsLatch(pObjNew) || Ivy_ObjRefs(pObjNew) > 0 || Ivy_ObjIsPi(pObjNew) || Ivy_ObjIsConst1(pObjNew) )
+ pObjNew = Ivy_ObjCreate( p, Ivy_ObjCreateGhost(p, pObjNew, NULL, IVY_BUF, IVY_INIT_NONE) );
+ assert( !Ivy_IsComplement(pObjNew) );
+ if ( fUpdateLevel )
+ {
+//clk = clock();
+ // if the new node's arrival time is different, recursively update arrival time of the fanouts
+ if ( p->fFanout && !Ivy_ObjIsBuf(pObjNew) && pObjOld->Level != pObjNew->Level )
+ {
+ assert( Ivy_ObjIsNode(pObjOld) );
+ pObjOld->Level = pObjNew->Level;
+ Ivy_ObjUpdateLevel_rec( p, pObjOld );
+ }
+//p->time1 += clock() - clk;
+ // if the new node's required time has changed, recursively update required time of the fanins
+//clk = clock();
+ if ( p->vRequired )
+ {
+ int ReqNew = Vec_IntEntry(p->vRequired, pObjOld->Id);
+ if ( ReqNew < Vec_IntEntry(p->vRequired, pObjNew->Id) )
+ {
+ Vec_IntWriteEntry( p->vRequired, pObjNew->Id, ReqNew );
+ Ivy_ObjUpdateLevelR_rec( p, pObjNew, ReqNew );
+ }
+ }
+//p->time2 += clock() - clk;
+ }
+ // delete the old object
+ if ( fDeleteOld )
+ Ivy_ObjDelete_rec( p, pObjOld, fFreeTop );
+ // make sure object is not pointing to itself
+ assert( Ivy_ObjFanin0(pObjNew) == NULL || pObjOld != Ivy_ObjFanin0(pObjNew) );
+ assert( Ivy_ObjFanin1(pObjNew) == NULL || pObjOld != Ivy_ObjFanin1(pObjNew) );
+ // make sure the old node has no fanin fanout pointers
+ if ( p->fFanout )
+ {
+ assert( pObjOld->pFanout != NULL );
+ assert( pObjNew->pFanout == NULL );
+ pObjNew->pFanout = pObjOld->pFanout;
+ }
+ // transfer the old object
+ assert( Ivy_ObjRefs(pObjNew) == 0 );
+ nRefsOld = pObjOld->nRefs;
+ Ivy_ObjOverwrite( pObjOld, pObjNew );
+ pObjOld->nRefs = nRefsOld;
+ // patch the fanout of the fanins
+ if ( p->fFanout )
+ {
+ Ivy_ObjPatchFanout( p, Ivy_ObjFanin0(pObjOld), pObjNew, pObjOld );
+ if ( Ivy_ObjFanin1(pObjOld) )
+ Ivy_ObjPatchFanout( p, Ivy_ObjFanin1(pObjOld), pObjNew, pObjOld );
+ }
+ // update the hash table
+ Ivy_TableUpdate( p, pObjNew, pObjOld->Id );
+ // recycle the object that was taken over by pObjOld
+ Vec_PtrWriteEntry( p->vObjs, pObjNew->Id, NULL );
+ Ivy_ManRecycleMemory( p, pObjNew );
+ // if the new node is the buffer propagate it
+ if ( p->fFanout && Ivy_ObjIsBuf(pObjOld) )
+ Vec_PtrPush( p->vBufs, pObjOld );
+// Ivy_ManCheckFanouts( p );
+// printf( "\n" );
+/*
+ if ( p->pHaig )
+ {
+ int x;
+ Ivy_ManShow( p, 0, NULL );
+ Ivy_ManShow( p->pHaig, 1, NULL );
+ x = 0;
+ }
+*/
+// if ( Ivy_ManCheckFanoutNums(p) )
+// {
+// int x = 0;
+// }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Fixes buffer fanins.]
+
+ Description [This situation happens because NodeReplace is a lazy
+ procedure, which does not propagate the change to the fanouts but
+ instead records the change in the form of a buf/inv node.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_NodeFixBufferFanins( Ivy_Man_t * p, Ivy_Obj_t * pNode, int fUpdateLevel )
+{
+ Ivy_Obj_t * pFanReal0, * pFanReal1, * pResult;
+ if ( Ivy_ObjIsPo(pNode) )
+ {
+ if ( !Ivy_ObjIsBuf(Ivy_ObjFanin0(pNode)) )
+ return;
+ pFanReal0 = Ivy_ObjReal( Ivy_ObjChild0(pNode) );
+ Ivy_ObjPatchFanin0( p, pNode, pFanReal0 );
+// Ivy_ManCheckFanouts( p );
+ return;
+ }
+ if ( !Ivy_ObjIsBuf(Ivy_ObjFanin0(pNode)) && !Ivy_ObjIsBuf(Ivy_ObjFanin1(pNode)) )
+ return;
+ // get the real fanins
+ pFanReal0 = Ivy_ObjReal( Ivy_ObjChild0(pNode) );
+ pFanReal1 = Ivy_ObjReal( Ivy_ObjChild1(pNode) );
+ // get the new node
+ if ( Ivy_ObjIsNode(pNode) )
+ pResult = Ivy_Oper( p, pFanReal0, pFanReal1, Ivy_ObjType(pNode) );
+ else if ( Ivy_ObjIsLatch(pNode) )
+ pResult = Ivy_Latch( p, pFanReal0, Ivy_ObjInit(pNode) );
+ else
+ assert( 0 );
+
+//printf( "===== Replacing %d by %d.\n", pNode->Id, pResult->Id );
+//Ivy_ObjPrintVerbose( p, pNode, 0 ); printf( "\n" );
+//Ivy_ObjPrintVerbose( p, pResult, 0 ); printf( "\n" );
+
+ // perform the replacement
+ Ivy_ObjReplace( p, pNode, pResult, 1, 0, fUpdateLevel );
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/ivy/ivyOper.c b/src/aig/ivy/ivyOper.c
new file mode 100644
index 00000000..8115ce4f
--- /dev/null
+++ b/src/aig/ivy/ivyOper.c
@@ -0,0 +1,293 @@
+/**CFile****************************************************************
+
+ FileName [ivyOper.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [And-Inverter Graph package.]
+
+ Synopsis [AIG operations.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - May 11, 2006.]
+
+ Revision [$Id: ivyOper.c,v 1.00 2006/05/11 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "ivy.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+// procedure to detect an EXOR gate
+static inline int Ivy_ObjIsExorType( Ivy_Obj_t * p0, Ivy_Obj_t * p1, Ivy_Obj_t ** ppFan0, Ivy_Obj_t ** ppFan1 )
+{
+ if ( !Ivy_IsComplement(p0) || !Ivy_IsComplement(p1) )
+ return 0;
+ p0 = Ivy_Regular(p0);
+ p1 = Ivy_Regular(p1);
+ if ( !Ivy_ObjIsAnd(p0) || !Ivy_ObjIsAnd(p1) )
+ return 0;
+ if ( Ivy_ObjFanin0(p0) != Ivy_ObjFanin0(p1) || Ivy_ObjFanin1(p0) != Ivy_ObjFanin1(p1) )
+ return 0;
+ if ( Ivy_ObjFaninC0(p0) == Ivy_ObjFaninC0(p1) || Ivy_ObjFaninC1(p0) == Ivy_ObjFaninC1(p1) )
+ return 0;
+ *ppFan0 = Ivy_ObjChild0(p0);
+ *ppFan1 = Ivy_ObjChild1(p0);
+ return 1;
+}
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Perform one operation.]
+
+ Description [The argument nodes can be complemented.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Obj_t * Ivy_Oper( Ivy_Man_t * p, Ivy_Obj_t * p0, Ivy_Obj_t * p1, Ivy_Type_t Type )
+{
+ if ( Type == IVY_AND )
+ return Ivy_And( p, p0, p1 );
+ if ( Type == IVY_EXOR )
+ return Ivy_Exor( p, p0, p1 );
+ assert( 0 );
+ return NULL;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs canonicization step.]
+
+ Description [The argument nodes can be complemented.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Obj_t * Ivy_And( Ivy_Man_t * p, Ivy_Obj_t * p0, Ivy_Obj_t * p1 )
+{
+// Ivy_Obj_t * pFan0, * pFan1;
+ // check trivial cases
+ if ( p0 == p1 )
+ return p0;
+ if ( p0 == Ivy_Not(p1) )
+ return Ivy_Not(p->pConst1);
+ if ( Ivy_Regular(p0) == p->pConst1 )
+ return p0 == p->pConst1 ? p1 : Ivy_Not(p->pConst1);
+ if ( Ivy_Regular(p1) == p->pConst1 )
+ return p1 == p->pConst1 ? p0 : Ivy_Not(p->pConst1);
+ // check if it can be an EXOR gate
+// if ( Ivy_ObjIsExorType( p0, p1, &pFan0, &pFan1 ) )
+// return Ivy_CanonExor( pFan0, pFan1 );
+ return Ivy_CanonAnd( p, p0, p1 );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs canonicization step.]
+
+ Description [The argument nodes can be complemented.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Obj_t * Ivy_Exor( Ivy_Man_t * p, Ivy_Obj_t * p0, Ivy_Obj_t * p1 )
+{
+/*
+ // check trivial cases
+ if ( p0 == p1 )
+ return Ivy_Not(p->pConst1);
+ if ( p0 == Ivy_Not(p1) )
+ return p->pConst1;
+ if ( Ivy_Regular(p0) == p->pConst1 )
+ return Ivy_NotCond( p1, p0 == p->pConst1 );
+ if ( Ivy_Regular(p1) == p->pConst1 )
+ return Ivy_NotCond( p0, p1 == p->pConst1 );
+ // check the table
+ return Ivy_CanonExor( p, p0, p1 );
+*/
+ return Ivy_Or( p, Ivy_And(p, p0, Ivy_Not(p1)), Ivy_And(p, Ivy_Not(p0), p1) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Implements Boolean OR.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Obj_t * Ivy_Or( Ivy_Man_t * p, Ivy_Obj_t * p0, Ivy_Obj_t * p1 )
+{
+ return Ivy_Not( Ivy_And( p, Ivy_Not(p0), Ivy_Not(p1) ) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Implements ITE operation.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Obj_t * Ivy_Mux( Ivy_Man_t * p, Ivy_Obj_t * pC, Ivy_Obj_t * p1, Ivy_Obj_t * p0 )
+{
+ Ivy_Obj_t * pTempA1, * pTempA2, * pTempB1, * pTempB2, * pTemp;
+ int Count0, Count1;
+ // consider trivial cases
+ if ( p0 == Ivy_Not(p1) )
+ return Ivy_Exor( p, pC, p0 );
+ // other cases can be added
+ // implement the first MUX (F = C * x1 + C' * x0)
+ pTempA1 = Ivy_TableLookup( p, Ivy_ObjCreateGhost(p, pC, p1, IVY_AND, IVY_INIT_NONE) );
+ pTempA2 = Ivy_TableLookup( p, Ivy_ObjCreateGhost(p, Ivy_Not(pC), p0, IVY_AND, IVY_INIT_NONE) );
+ if ( pTempA1 && pTempA2 )
+ {
+ pTemp = Ivy_TableLookup( p, Ivy_ObjCreateGhost(p, Ivy_Not(pTempA1), Ivy_Not(pTempA2), IVY_AND, IVY_INIT_NONE) );
+ if ( pTemp ) return Ivy_Not(pTemp);
+ }
+ Count0 = (pTempA1 != NULL) + (pTempA2 != NULL);
+ // implement the second MUX (F' = C * x1' + C' * x0')
+ pTempB1 = Ivy_TableLookup( p, Ivy_ObjCreateGhost(p, pC, Ivy_Not(p1), IVY_AND, IVY_INIT_NONE) );
+ pTempB2 = Ivy_TableLookup( p, Ivy_ObjCreateGhost(p, Ivy_Not(pC), Ivy_Not(p0), IVY_AND, IVY_INIT_NONE) );
+ if ( pTempB1 && pTempB2 )
+ {
+ pTemp = Ivy_TableLookup( p, Ivy_ObjCreateGhost(p, Ivy_Not(pTempB1), Ivy_Not(pTempB2), IVY_AND, IVY_INIT_NONE) );
+ if ( pTemp ) return pTemp;
+ }
+ Count1 = (pTempB1 != NULL) + (pTempB2 != NULL);
+ // compare and decide which one to implement
+ if ( Count0 >= Count1 )
+ {
+ pTempA1 = pTempA1? pTempA1 : Ivy_And(p, pC, p1);
+ pTempA2 = pTempA2? pTempA2 : Ivy_And(p, Ivy_Not(pC), p0);
+ return Ivy_Or( p, pTempA1, pTempA2 );
+ }
+ pTempB1 = pTempB1? pTempB1 : Ivy_And(p, pC, Ivy_Not(p1));
+ pTempB2 = pTempB2? pTempB2 : Ivy_And(p, Ivy_Not(pC), Ivy_Not(p0));
+ return Ivy_Not( Ivy_Or( p, pTempB1, pTempB2 ) );
+
+// return Ivy_Or( Ivy_And(pC, p1), Ivy_And(Ivy_Not(pC), p0) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Implements ITE operation.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Obj_t * Ivy_Maj( Ivy_Man_t * p, Ivy_Obj_t * pA, Ivy_Obj_t * pB, Ivy_Obj_t * pC )
+{
+ return Ivy_Or( p, Ivy_Or(p, Ivy_And(p, pA, pB), Ivy_And(p, pA, pC)), Ivy_And(p, pB, pC) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Constructs the well-balanced tree of gates.]
+
+ Description [Disregards levels and possible logic sharing.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Obj_t * Ivy_Multi_rec( Ivy_Man_t * p, Ivy_Obj_t ** ppObjs, int nObjs, Ivy_Type_t Type )
+{
+ Ivy_Obj_t * pObj1, * pObj2;
+ if ( nObjs == 1 )
+ return ppObjs[0];
+ pObj1 = Ivy_Multi_rec( p, ppObjs, nObjs/2, Type );
+ pObj2 = Ivy_Multi_rec( p, ppObjs + nObjs/2, nObjs - nObjs/2, Type );
+ return Ivy_Oper( p, pObj1, pObj2, Type );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Old code.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Obj_t * Ivy_Multi( Ivy_Man_t * p, Ivy_Obj_t ** pArgs, int nArgs, Ivy_Type_t Type )
+{
+ assert( Type == IVY_AND || Type == IVY_EXOR );
+ assert( nArgs > 0 );
+ return Ivy_Multi_rec( p, pArgs, nArgs, Type );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Implements the miter.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Obj_t * Ivy_Miter( Ivy_Man_t * p, Vec_Ptr_t * vPairs )
+{
+ int i;
+ assert( vPairs->nSize > 0 );
+ assert( vPairs->nSize % 2 == 0 );
+ // go through the cubes of the node's SOP
+ for ( i = 0; i < vPairs->nSize; i += 2 )
+ vPairs->pArray[i/2] = Ivy_Not( Ivy_Exor( p, vPairs->pArray[i], vPairs->pArray[i+1] ) );
+ vPairs->nSize = vPairs->nSize/2;
+ return Ivy_Not( Ivy_Multi_rec( p, (Ivy_Obj_t **)vPairs->pArray, vPairs->nSize, IVY_AND ) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs canonicization step.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Obj_t * Ivy_Latch( Ivy_Man_t * p, Ivy_Obj_t * pObj, Ivy_Init_t Init )
+{
+ return Ivy_CanonLatch( p, pObj, Init );
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/ivy/ivyResyn.c b/src/aig/ivy/ivyResyn.c
new file mode 100644
index 00000000..f42d7464
--- /dev/null
+++ b/src/aig/ivy/ivyResyn.c
@@ -0,0 +1,196 @@
+/**CFile****************************************************************
+
+ FileName [ivyResyn.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [And-Inverter Graph package.]
+
+ Synopsis [AIG rewriting script.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - May 11, 2006.]
+
+ Revision [$Id: ivyResyn.c,v 1.00 2006/05/11 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "ivy.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Performs several passes of rewriting on the AIG.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Man_t * Ivy_ManResyn0( Ivy_Man_t * pMan, int fUpdateLevel, int fVerbose )
+{
+ int clk;
+ Ivy_Man_t * pTemp;
+
+if ( fVerbose ) { printf( "Original:\n" ); }
+if ( fVerbose ) Ivy_ManPrintStats( pMan );
+
+clk = clock();
+ pMan = Ivy_ManBalance( pMan, fUpdateLevel );
+if ( fVerbose ) { printf( "\n" ); }
+if ( fVerbose ) { PRT( "Balance", clock() - clk ); }
+if ( fVerbose ) Ivy_ManPrintStats( pMan );
+
+// Ivy_ManRewriteAlg( pMan, fUpdateLevel, 0 );
+clk = clock();
+ Ivy_ManRewritePre( pMan, fUpdateLevel, 0, 0 );
+if ( fVerbose ) { printf( "\n" ); }
+if ( fVerbose ) { PRT( "Rewrite", clock() - clk ); }
+if ( fVerbose ) Ivy_ManPrintStats( pMan );
+
+clk = clock();
+ pMan = Ivy_ManBalance( pTemp = pMan, fUpdateLevel );
+ Ivy_ManStop( pTemp );
+if ( fVerbose ) { printf( "\n" ); }
+if ( fVerbose ) { PRT( "Balance", clock() - clk ); }
+if ( fVerbose ) Ivy_ManPrintStats( pMan );
+ return pMan;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs several passes of rewriting on the AIG.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Man_t * Ivy_ManResyn( Ivy_Man_t * pMan, int fUpdateLevel, int fVerbose )
+{
+ int clk;
+ Ivy_Man_t * pTemp;
+
+if ( fVerbose ) { printf( "Original:\n" ); }
+if ( fVerbose ) Ivy_ManPrintStats( pMan );
+
+clk = clock();
+ pMan = Ivy_ManBalance( pMan, fUpdateLevel );
+if ( fVerbose ) { printf( "\n" ); }
+if ( fVerbose ) { PRT( "Balance", clock() - clk ); }
+if ( fVerbose ) Ivy_ManPrintStats( pMan );
+
+// Ivy_ManRewriteAlg( pMan, fUpdateLevel, 0 );
+clk = clock();
+ Ivy_ManRewritePre( pMan, fUpdateLevel, 0, 0 );
+if ( fVerbose ) { printf( "\n" ); }
+if ( fVerbose ) { PRT( "Rewrite", clock() - clk ); }
+if ( fVerbose ) Ivy_ManPrintStats( pMan );
+
+clk = clock();
+ pMan = Ivy_ManBalance( pTemp = pMan, fUpdateLevel );
+ Ivy_ManStop( pTemp );
+if ( fVerbose ) { printf( "\n" ); }
+if ( fVerbose ) { PRT( "Balance", clock() - clk ); }
+if ( fVerbose ) Ivy_ManPrintStats( pMan );
+
+// Ivy_ManRewriteAlg( pMan, fUpdateLevel, 1 );
+clk = clock();
+ Ivy_ManRewritePre( pMan, fUpdateLevel, 1, 0 );
+if ( fVerbose ) { printf( "\n" ); }
+if ( fVerbose ) { PRT( "Rewrite", clock() - clk ); }
+if ( fVerbose ) Ivy_ManPrintStats( pMan );
+
+clk = clock();
+ pMan = Ivy_ManBalance( pTemp = pMan, fUpdateLevel );
+ Ivy_ManStop( pTemp );
+if ( fVerbose ) { printf( "\n" ); }
+if ( fVerbose ) { PRT( "Balance", clock() - clk ); }
+if ( fVerbose ) Ivy_ManPrintStats( pMan );
+
+// Ivy_ManRewriteAlg( pMan, fUpdateLevel, 1 );
+clk = clock();
+ Ivy_ManRewritePre( pMan, fUpdateLevel, 1, 0 );
+if ( fVerbose ) { printf( "\n" ); }
+if ( fVerbose ) { PRT( "Rewrite", clock() - clk ); }
+if ( fVerbose ) Ivy_ManPrintStats( pMan );
+
+clk = clock();
+ pMan = Ivy_ManBalance( pTemp = pMan, fUpdateLevel );
+ Ivy_ManStop( pTemp );
+if ( fVerbose ) { printf( "\n" ); }
+if ( fVerbose ) { PRT( "Balance", clock() - clk ); }
+if ( fVerbose ) Ivy_ManPrintStats( pMan );
+ return pMan;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs several passes of rewriting on the AIG.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Man_t * Ivy_ManRwsat( Ivy_Man_t * pMan, int fVerbose )
+{
+ int clk;
+ Ivy_Man_t * pTemp;
+
+if ( fVerbose ) { printf( "Original:\n" ); }
+if ( fVerbose ) Ivy_ManPrintStats( pMan );
+
+clk = clock();
+ Ivy_ManRewritePre( pMan, 0, 0, 0 );
+if ( fVerbose ) { printf( "\n" ); }
+if ( fVerbose ) { PRT( "Rewrite", clock() - clk ); }
+if ( fVerbose ) Ivy_ManPrintStats( pMan );
+
+clk = clock();
+ pMan = Ivy_ManBalance( pTemp = pMan, 0 );
+// pMan = Ivy_ManDup( pTemp = pMan );
+ Ivy_ManStop( pTemp );
+if ( fVerbose ) { printf( "\n" ); }
+if ( fVerbose ) { PRT( "Balance", clock() - clk ); }
+if ( fVerbose ) Ivy_ManPrintStats( pMan );
+
+/*
+clk = clock();
+ Ivy_ManRewritePre( pMan, 0, 0, 0 );
+if ( fVerbose ) { printf( "\n" ); }
+if ( fVerbose ) { PRT( "Rewrite", clock() - clk ); }
+if ( fVerbose ) Ivy_ManPrintStats( pMan );
+
+clk = clock();
+ pMan = Ivy_ManBalance( pTemp = pMan, 0 );
+ Ivy_ManStop( pTemp );
+if ( fVerbose ) { printf( "\n" ); }
+if ( fVerbose ) { PRT( "Balance", clock() - clk ); }
+if ( fVerbose ) Ivy_ManPrintStats( pMan );
+*/
+ return pMan;
+}
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/ivy/ivyRwr.c b/src/aig/ivy/ivyRwr.c
new file mode 100644
index 00000000..3f8720ba
--- /dev/null
+++ b/src/aig/ivy/ivyRwr.c
@@ -0,0 +1,609 @@
+/**CFile****************************************************************
+
+ FileName [ivyRwt.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [And-Inverter Graph package.]
+
+ Synopsis [Rewriting based on precomputation.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - May 11, 2006.]
+
+ Revision [$Id: ivyRwt.c,v 1.00 2006/05/11 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "ivy.h"
+#include "deco.h"
+#include "rwt.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+static unsigned Ivy_NodeGetTruth( Ivy_Obj_t * pObj, int * pNums, int nNums );
+static int Ivy_NodeRewrite( Ivy_Man_t * pMan, Rwt_Man_t * p, Ivy_Obj_t * pNode, int fUpdateLevel, int fUseZeroCost );
+static Dec_Graph_t * Rwt_CutEvaluate( Ivy_Man_t * pMan, Rwt_Man_t * p, Ivy_Obj_t * pRoot,
+ Vec_Ptr_t * vFaninsCur, int nNodesSaved, int LevelMax, int * pGainBest, unsigned uTruth );
+
+static int Ivy_GraphToNetworkCount( Ivy_Man_t * p, Ivy_Obj_t * pRoot, Dec_Graph_t * pGraph, int NodeMax, int LevelMax );
+static void Ivy_GraphUpdateNetwork( Ivy_Man_t * p, Ivy_Obj_t * pRoot, Dec_Graph_t * pGraph, int fUpdateLevel, int nGain );
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Performs incremental rewriting of the AIG.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_ManRewritePre( Ivy_Man_t * p, int fUpdateLevel, int fUseZeroCost, int fVerbose )
+{
+ Rwt_Man_t * pManRwt;
+ Ivy_Obj_t * pNode;
+ int i, nNodes, nGain;
+ int clk, clkStart = clock();
+ // start the rewriting manager
+ pManRwt = Rwt_ManStart( 0 );
+ p->pData = pManRwt;
+ if ( pManRwt == NULL )
+ return 0;
+ // create fanouts
+ if ( fUpdateLevel && p->fFanout == 0 )
+ Ivy_ManStartFanout( p );
+ // compute the reverse levels if level update is requested
+ if ( fUpdateLevel )
+ Ivy_ManRequiredLevels( p );
+ // set the number of levels
+// p->nLevelMax = Ivy_ManLevels( p );
+ // resynthesize each node once
+ nNodes = Ivy_ManObjIdMax(p);
+ Ivy_ManForEachNode( p, pNode, i )
+ {
+ // fix the fanin buffer problem
+ Ivy_NodeFixBufferFanins( p, pNode, 1 );
+ if ( Ivy_ObjIsBuf(pNode) )
+ continue;
+ // stop if all nodes have been tried once
+ if ( i > nNodes )
+ break;
+ // for each cut, try to resynthesize it
+ nGain = Ivy_NodeRewrite( p, pManRwt, pNode, fUpdateLevel, fUseZeroCost );
+ if ( nGain > 0 || nGain == 0 && fUseZeroCost )
+ {
+ Dec_Graph_t * pGraph = Rwt_ManReadDecs(pManRwt);
+ int fCompl = Rwt_ManReadCompl(pManRwt);
+/*
+ {
+ Ivy_Obj_t * pObj;
+ int i;
+ printf( "USING: (" );
+ Vec_PtrForEachEntry( Rwt_ManReadLeaves(pManRwt), pObj, i )
+ printf( "%d ", Ivy_ObjFanoutNum(Ivy_Regular(pObj)) );
+ printf( ") Gain = %d.\n", nGain );
+ }
+ if ( nGain > 0 )
+ { // print stats on the MFFC
+ extern void Ivy_NodeMffsConeSuppPrint( Ivy_Obj_t * pNode );
+ printf( "Node %6d : Gain = %4d ", pNode->Id, nGain );
+ Ivy_NodeMffsConeSuppPrint( pNode );
+ }
+*/
+ // complement the FF if needed
+clk = clock();
+ if ( fCompl ) Dec_GraphComplement( pGraph );
+ Ivy_GraphUpdateNetwork( p, pNode, pGraph, fUpdateLevel, nGain );
+ if ( fCompl ) Dec_GraphComplement( pGraph );
+Rwt_ManAddTimeUpdate( pManRwt, clock() - clk );
+ }
+ }
+Rwt_ManAddTimeTotal( pManRwt, clock() - clkStart );
+ // print stats
+ if ( fVerbose )
+ Rwt_ManPrintStats( pManRwt );
+ // delete the managers
+ Rwt_ManStop( pManRwt );
+ p->pData = NULL;
+ // fix the levels
+ if ( fUpdateLevel )
+ Vec_IntFree( p->vRequired ), p->vRequired = NULL;
+ else
+ Ivy_ManResetLevels( p );
+ // check
+ if ( i = Ivy_ManCleanup(p) )
+ printf( "Cleanup after rewriting removed %d dangling nodes.\n", i );
+ if ( !Ivy_ManCheck(p) )
+ printf( "Ivy_ManRewritePre(): The check has failed.\n" );
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs rewriting for one node.]
+
+ Description [This procedure considers all the cuts computed for the node
+ and tries to rewrite each of them using the "forest" of different AIG
+ structures precomputed and stored in the RWR manager.
+ Determines the best rewriting and computes the gain in the number of AIG
+ nodes in the final network. In the end, p->vFanins contains information
+ about the best cut that can be used for rewriting, while p->pGraph gives
+ the decomposition dag (represented using decomposition graph data structure).
+ Returns gain in the number of nodes or -1 if node cannot be rewritten.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_NodeRewrite( Ivy_Man_t * pMan, Rwt_Man_t * p, Ivy_Obj_t * pNode, int fUpdateLevel, int fUseZeroCost )
+{
+ int fVeryVerbose = 0;
+ Dec_Graph_t * pGraph;
+ Ivy_Store_t * pStore;
+ Ivy_Cut_t * pCut;
+ Ivy_Obj_t * pFanin;
+ unsigned uPhase, uTruthBest, uTruth;
+ char * pPerm;
+ int Required, nNodesSaved, nNodesSaveCur;
+ int i, c, GainCur, GainBest = -1;
+ int clk, clk2;
+
+ p->nNodesConsidered++;
+ // get the required times
+ Required = fUpdateLevel? Vec_IntEntry( pMan->vRequired, pNode->Id ) : 1000000;
+ // get the node's cuts
+clk = clock();
+ pStore = Ivy_NodeFindCutsAll( pMan, pNode, 5 );
+p->timeCut += clock() - clk;
+
+ // go through the cuts
+clk = clock();
+ for ( c = 1; c < pStore->nCuts; c++ )
+ {
+ pCut = pStore->pCuts + c;
+ // consider only 4-input cuts
+ if ( pCut->nSize != 4 )
+ continue;
+ // skip the cuts with buffers
+ for ( i = 0; i < (int)pCut->nSize; i++ )
+ if ( Ivy_ObjIsBuf( Ivy_ManObj(pMan, pCut->pArray[i]) ) )
+ break;
+ if ( i != pCut->nSize )
+ {
+ p->nCutsBad++;
+ continue;
+ }
+ p->nCutsGood++;
+ // get the fanin permutation
+clk2 = clock();
+ uTruth = 0xFFFF & Ivy_NodeGetTruth( pNode, pCut->pArray, pCut->nSize ); // truth table
+p->timeTruth += clock() - clk2;
+ pPerm = p->pPerms4[ p->pPerms[uTruth] ];
+ uPhase = p->pPhases[uTruth];
+ // collect fanins with the corresponding permutation/phase
+ Vec_PtrClear( p->vFaninsCur );
+ Vec_PtrFill( p->vFaninsCur, (int)pCut->nSize, 0 );
+ for ( i = 0; i < (int)pCut->nSize; i++ )
+ {
+ pFanin = Ivy_ManObj( pMan, pCut->pArray[pPerm[i]] );
+ assert( Ivy_ObjIsNode(pFanin) || Ivy_ObjIsCi(pFanin) );
+ pFanin = Ivy_NotCond(pFanin, ((uPhase & (1<<i)) > 0) );
+ Vec_PtrWriteEntry( p->vFaninsCur, i, pFanin );
+ }
+clk2 = clock();
+/*
+ printf( "Considering: (" );
+ Vec_PtrForEachEntry( p->vFaninsCur, pFanin, i )
+ printf( "%d ", Ivy_ObjFanoutNum(Ivy_Regular(pFanin)) );
+ printf( ")\n" );
+*/
+ // mark the fanin boundary
+ Vec_PtrForEachEntry( p->vFaninsCur, pFanin, i )
+ Ivy_ObjRefsInc( Ivy_Regular(pFanin) );
+ // label MFFC with current ID
+ Ivy_ManIncrementTravId( pMan );
+ nNodesSaved = Ivy_ObjMffcLabel( pMan, pNode );
+ // unmark the fanin boundary
+ Vec_PtrForEachEntry( p->vFaninsCur, pFanin, i )
+ Ivy_ObjRefsDec( Ivy_Regular(pFanin) );
+p->timeMffc += clock() - clk2;
+
+ // evaluate the cut
+clk2 = clock();
+ pGraph = Rwt_CutEvaluate( pMan, p, pNode, p->vFaninsCur, nNodesSaved, Required, &GainCur, uTruth );
+p->timeEval += clock() - clk2;
+
+ // check if the cut is better than the current best one
+ if ( pGraph != NULL && GainBest < GainCur )
+ {
+ // save this form
+ nNodesSaveCur = nNodesSaved;
+ GainBest = GainCur;
+ p->pGraph = pGraph;
+ p->fCompl = ((uPhase & (1<<4)) > 0);
+ uTruthBest = uTruth;
+ // collect fanins in the
+ Vec_PtrClear( p->vFanins );
+ Vec_PtrForEachEntry( p->vFaninsCur, pFanin, i )
+ Vec_PtrPush( p->vFanins, pFanin );
+ }
+ }
+p->timeRes += clock() - clk;
+
+ if ( GainBest == -1 )
+ return -1;
+
+// printf( "%d", nNodesSaveCur - GainBest );
+/*
+ if ( GainBest > 0 )
+ {
+ if ( Rwt_CutIsintean( pNode, p->vFanins ) )
+ printf( "b" );
+ else
+ {
+ printf( "Node %d : ", pNode->Id );
+ Vec_PtrForEachEntry( p->vFanins, pFanin, i )
+ printf( "%d ", Ivy_Regular(pFanin)->Id );
+ printf( "a" );
+ }
+ }
+*/
+/*
+ if ( GainBest > 0 )
+ if ( p->fCompl )
+ printf( "c" );
+ else
+ printf( "." );
+*/
+
+ // copy the leaves
+ Vec_PtrForEachEntry( p->vFanins, pFanin, i )
+ Dec_GraphNode(p->pGraph, i)->pFunc = pFanin;
+
+ p->nScores[p->pMap[uTruthBest]]++;
+ p->nNodesGained += GainBest;
+ if ( fUseZeroCost || GainBest > 0 )
+ p->nNodesRewritten++;
+
+ // report the progress
+ if ( fVeryVerbose && GainBest > 0 )
+ {
+ printf( "Node %6d : ", Ivy_ObjId(pNode) );
+ printf( "Fanins = %d. ", p->vFanins->nSize );
+ printf( "Save = %d. ", nNodesSaveCur );
+ printf( "Add = %d. ", nNodesSaveCur-GainBest );
+ printf( "GAIN = %d. ", GainBest );
+ printf( "Cone = %d. ", p->pGraph? Dec_GraphNodeNum(p->pGraph) : 0 );
+ printf( "Class = %d. ", p->pMap[uTruthBest] );
+ printf( "\n" );
+ }
+ return GainBest;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes the truth table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+unsigned Ivy_NodeGetTruth_rec( Ivy_Obj_t * pObj, int * pNums, int nNums )
+{
+ static unsigned uMasks[5] = { 0xAAAAAAAA, 0xCCCCCCCC, 0xF0F0F0F0, 0xFF00FF00, 0xFFFF0000 };
+ unsigned uTruth0, uTruth1;
+ int i;
+ for ( i = 0; i < nNums; i++ )
+ if ( pObj->Id == pNums[i] )
+ return uMasks[i];
+ assert( Ivy_ObjIsNode(pObj) || Ivy_ObjIsBuf(pObj) );
+ uTruth0 = Ivy_NodeGetTruth_rec( Ivy_ObjFanin0(pObj), pNums, nNums );
+ if ( Ivy_ObjFaninC0(pObj) )
+ uTruth0 = ~uTruth0;
+ if ( Ivy_ObjIsBuf(pObj) )
+ return uTruth0;
+ uTruth1 = Ivy_NodeGetTruth_rec( Ivy_ObjFanin1(pObj), pNums, nNums );
+ if ( Ivy_ObjFaninC1(pObj) )
+ uTruth1 = ~uTruth1;
+ return uTruth0 & uTruth1;
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Computes the truth table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+unsigned Ivy_NodeGetTruth( Ivy_Obj_t * pObj, int * pNums, int nNums )
+{
+ assert( nNums < 6 );
+ return Ivy_NodeGetTruth_rec( pObj, pNums, nNums );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Evaluates the cut.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Dec_Graph_t * Rwt_CutEvaluate( Ivy_Man_t * pMan, Rwt_Man_t * p, Ivy_Obj_t * pRoot, Vec_Ptr_t * vFaninsCur, int nNodesSaved, int LevelMax, int * pGainBest, unsigned uTruth )
+{
+ Vec_Ptr_t * vSubgraphs;
+ Dec_Graph_t * pGraphBest, * pGraphCur;
+ Rwt_Node_t * pNode, * pFanin;
+ int nNodesAdded, GainBest, i, k;
+ // find the matching class of subgraphs
+ vSubgraphs = Vec_VecEntry( p->vClasses, p->pMap[uTruth] );
+ p->nSubgraphs += vSubgraphs->nSize;
+ // determine the best subgraph
+ GainBest = -1;
+ Vec_PtrForEachEntry( vSubgraphs, pNode, i )
+ {
+ // get the current graph
+ pGraphCur = (Dec_Graph_t *)pNode->pNext;
+ // copy the leaves
+ Vec_PtrForEachEntry( vFaninsCur, pFanin, k )
+ Dec_GraphNode(pGraphCur, k)->pFunc = pFanin;
+ // detect how many unlabeled nodes will be reused
+ nNodesAdded = Ivy_GraphToNetworkCount( pMan, pRoot, pGraphCur, nNodesSaved, LevelMax );
+ if ( nNodesAdded == -1 )
+ continue;
+ assert( nNodesSaved >= nNodesAdded );
+ // count the gain at this node
+ if ( GainBest < nNodesSaved - nNodesAdded )
+ {
+ GainBest = nNodesSaved - nNodesAdded;
+ pGraphBest = pGraphCur;
+ }
+ }
+ if ( GainBest == -1 )
+ return NULL;
+ *pGainBest = GainBest;
+ return pGraphBest;
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Counts the number of new nodes added when using this graph.]
+
+ Description [AIG nodes for the fanins should be assigned to pNode->pFunc
+ of the leaves of the graph before calling this procedure.
+ Returns -1 if the number of nodes and levels exceeded the given limit or
+ the number of levels exceeded the maximum allowed level.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_GraphToNetworkCount( Ivy_Man_t * p, Ivy_Obj_t * pRoot, Dec_Graph_t * pGraph, int NodeMax, int LevelMax )
+{
+ Dec_Node_t * pNode, * pNode0, * pNode1;
+ Ivy_Obj_t * pAnd, * pAnd0, * pAnd1;
+ int i, Counter, LevelNew, LevelOld;
+ // check for constant function or a literal
+ if ( Dec_GraphIsConst(pGraph) || Dec_GraphIsVar(pGraph) )
+ return 0;
+ // set the levels of the leaves
+ Dec_GraphForEachLeaf( pGraph, pNode, i )
+ pNode->Level = Ivy_Regular(pNode->pFunc)->Level;
+ // compute the AIG size after adding the internal nodes
+ Counter = 0;
+ Dec_GraphForEachNode( pGraph, pNode, i )
+ {
+ // get the children of this node
+ pNode0 = Dec_GraphNode( pGraph, pNode->eEdge0.Node );
+ pNode1 = Dec_GraphNode( pGraph, pNode->eEdge1.Node );
+ // get the AIG nodes corresponding to the children
+ pAnd0 = pNode0->pFunc;
+ pAnd1 = pNode1->pFunc;
+ if ( pAnd0 && pAnd1 )
+ {
+ // if they are both present, find the resulting node
+ pAnd0 = Ivy_NotCond( pAnd0, pNode->eEdge0.fCompl );
+ pAnd1 = Ivy_NotCond( pAnd1, pNode->eEdge1.fCompl );
+ pAnd = Ivy_TableLookup( p, Ivy_ObjCreateGhost(p, pAnd0, pAnd1, IVY_AND, IVY_INIT_NONE) );
+ // return -1 if the node is the same as the original root
+ if ( Ivy_Regular(pAnd) == pRoot )
+ return -1;
+ }
+ else
+ pAnd = NULL;
+ // count the number of added nodes
+ if ( pAnd == NULL || Ivy_ObjIsTravIdCurrent(p, Ivy_Regular(pAnd)) )
+ {
+ if ( ++Counter > NodeMax )
+ return -1;
+ }
+ // count the number of new levels
+ LevelNew = 1 + RWT_MAX( pNode0->Level, pNode1->Level );
+ if ( pAnd )
+ {
+ if ( Ivy_Regular(pAnd) == p->pConst1 )
+ LevelNew = 0;
+ else if ( Ivy_Regular(pAnd) == Ivy_Regular(pAnd0) )
+ LevelNew = (int)Ivy_Regular(pAnd0)->Level;
+ else if ( Ivy_Regular(pAnd) == Ivy_Regular(pAnd1) )
+ LevelNew = (int)Ivy_Regular(pAnd1)->Level;
+ LevelOld = (int)Ivy_Regular(pAnd)->Level;
+// assert( LevelNew == LevelOld );
+ }
+ if ( LevelNew > LevelMax )
+ return -1;
+ pNode->pFunc = pAnd;
+ pNode->Level = LevelNew;
+ }
+ return Counter;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Transforms the decomposition graph into the AIG.]
+
+ Description [AIG nodes for the fanins should be assigned to pNode->pFunc
+ of the leaves of the graph before calling this procedure.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Obj_t * Ivy_GraphToNetwork( Ivy_Man_t * p, Dec_Graph_t * pGraph )
+{
+ Ivy_Obj_t * pAnd0, * pAnd1;
+ Dec_Node_t * pNode;
+ int i;
+ // check for constant function
+ if ( Dec_GraphIsConst(pGraph) )
+ return Ivy_NotCond( Ivy_ManConst1(p), Dec_GraphIsComplement(pGraph) );
+ // check for a literal
+ if ( Dec_GraphIsVar(pGraph) )
+ return Ivy_NotCond( Dec_GraphVar(pGraph)->pFunc, Dec_GraphIsComplement(pGraph) );
+ // build the AIG nodes corresponding to the AND gates of the graph
+ Dec_GraphForEachNode( pGraph, pNode, i )
+ {
+ pAnd0 = Ivy_NotCond( Dec_GraphNode(pGraph, pNode->eEdge0.Node)->pFunc, pNode->eEdge0.fCompl );
+ pAnd1 = Ivy_NotCond( Dec_GraphNode(pGraph, pNode->eEdge1.Node)->pFunc, pNode->eEdge1.fCompl );
+ pNode->pFunc = Ivy_And( p, pAnd0, pAnd1 );
+ }
+ // complement the result if necessary
+ return Ivy_NotCond( pNode->pFunc, Dec_GraphIsComplement(pGraph) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Replaces MFFC of the node by the new factored form.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_GraphUpdateNetwork( Ivy_Man_t * p, Ivy_Obj_t * pRoot, Dec_Graph_t * pGraph, int fUpdateLevel, int nGain )
+{
+ Ivy_Obj_t * pRootNew;
+ int nNodesNew, nNodesOld, Required;
+ Required = fUpdateLevel? Vec_IntEntry( p->vRequired, pRoot->Id ) : 1000000;
+ nNodesOld = Ivy_ManNodeNum(p);
+ // create the new structure of nodes
+ pRootNew = Ivy_GraphToNetwork( p, pGraph );
+ assert( (int)Ivy_Regular(pRootNew)->Level <= Required );
+// if ( Ivy_Regular(pRootNew)->Level == Required )
+// printf( "Difference %d.\n", Ivy_Regular(pRootNew)->Level - Required );
+ // remove the old nodes
+// Ivy_AigReplace( pMan->pManFunc, pRoot, pRootNew, fUpdateLevel );
+/*
+ if ( Ivy_IsComplement(pRootNew) )
+ printf( "c" );
+ else
+ printf( "d" );
+ if ( Ivy_ObjRefs(Ivy_Regular(pRootNew)) > 0 )
+ printf( "%d", Ivy_ObjRefs(Ivy_Regular(pRootNew)) );
+ printf( " " );
+*/
+ Ivy_ObjReplace( p, pRoot, pRootNew, 1, 0, 1 );
+ // compare the gains
+ nNodesNew = Ivy_ManNodeNum(p);
+ assert( nGain <= nNodesOld - nNodesNew );
+ // propagate the buffer
+ Ivy_ManPropagateBuffers( p, 1 );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Replaces MFFC of the node by the new factored form.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_GraphUpdateNetwork3( Ivy_Man_t * p, Ivy_Obj_t * pRoot, Dec_Graph_t * pGraph, int fUpdateLevel, int nGain )
+{
+ Ivy_Obj_t * pRootNew, * pFanin;
+ int nNodesNew, nNodesOld, i, nRefsOld;
+ nNodesOld = Ivy_ManNodeNum(p);
+
+//printf( "Before = %d. ", Ivy_ManNodeNum(p) );
+ // mark the cut
+ Vec_PtrForEachEntry( ((Rwt_Man_t *)p->pData)->vFanins, pFanin, i )
+ Ivy_ObjRefsInc( Ivy_Regular(pFanin) );
+ // deref the old cone
+ nRefsOld = pRoot->nRefs;
+ pRoot->nRefs = 0;
+ Ivy_ObjDelete_rec( p, pRoot, 0 );
+ pRoot->nRefs = nRefsOld;
+ // unmark the cut
+ Vec_PtrForEachEntry( ((Rwt_Man_t *)p->pData)->vFanins, pFanin, i )
+ Ivy_ObjRefsDec( Ivy_Regular(pFanin) );
+//printf( "Deref = %d. ", Ivy_ManNodeNum(p) );
+
+ // create the new structure of nodes
+ pRootNew = Ivy_GraphToNetwork( p, pGraph );
+//printf( "Create = %d. ", Ivy_ManNodeNum(p) );
+ // remove the old nodes
+// Ivy_AigReplace( pMan->pManFunc, pRoot, pRootNew, fUpdateLevel );
+/*
+ if ( Ivy_IsComplement(pRootNew) )
+ printf( "c" );
+ else
+ printf( "d" );
+ if ( Ivy_ObjRefs(Ivy_Regular(pRootNew)) > 0 )
+ printf( "%d", Ivy_ObjRefs(Ivy_Regular(pRootNew)) );
+ printf( " " );
+*/
+ Ivy_ObjReplace( p, pRoot, pRootNew, 0, 0, 1 );
+//printf( "Replace = %d. ", Ivy_ManNodeNum(p) );
+
+ // delete remaining dangling nodes
+ Vec_PtrForEachEntry( ((Rwt_Man_t *)p->pData)->vFanins, pFanin, i )
+ {
+ pFanin = Ivy_Regular(pFanin);
+ if ( !Ivy_ObjIsNone(pFanin) && Ivy_ObjRefs(pFanin) == 0 )
+ Ivy_ObjDelete_rec( p, pFanin, 1 );
+ }
+//printf( "Deref = %d. ", Ivy_ManNodeNum(p) );
+//printf( "\n" );
+
+ // compare the gains
+ nNodesNew = Ivy_ManNodeNum(p);
+ assert( nGain <= nNodesOld - nNodesNew );
+}
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/ivy/ivyRwrAlg.c b/src/aig/ivy/ivyRwrAlg.c
new file mode 100644
index 00000000..fc48deb0
--- /dev/null
+++ b/src/aig/ivy/ivyRwrAlg.c
@@ -0,0 +1,408 @@
+/**CFile****************************************************************
+
+ FileName [ivyRwrAlg.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [And-Inverter Graph package.]
+
+ Synopsis [Algebraic AIG rewriting.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - May 11, 2006.]
+
+ Revision [$Id: ivyRwrAlg.c,v 1.00 2006/05/11 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "ivy.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+static int Ivy_ManFindAlgCut( Ivy_Obj_t * pRoot, Vec_Ptr_t * vFront, Vec_Ptr_t * vLeaves, Vec_Ptr_t * vCone );
+static Ivy_Obj_t * Ivy_NodeRewriteAlg( Ivy_Obj_t * pObj, Vec_Ptr_t * vFront, Vec_Ptr_t * vLeaves, Vec_Ptr_t * vCone, Vec_Ptr_t * vSols, int LevelR, int fUseZeroCost );
+static int Ivy_NodeCountMffc( Ivy_Obj_t * pNode );
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Algebraic AIG rewriting.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_ManRewriteAlg( Ivy_Man_t * p, int fUpdateLevel, int fUseZeroCost )
+{
+ Vec_Int_t * vRequired;
+ Vec_Ptr_t * vFront, * vLeaves, * vCone, * vSol;
+ Ivy_Obj_t * pObj, * pResult;
+ int i, RetValue, LevelR, nNodesOld;
+ int CountUsed, CountUndo;
+ vRequired = fUpdateLevel? Ivy_ManRequiredLevels( p ) : NULL;
+ vFront = Vec_PtrAlloc( 100 );
+ vLeaves = Vec_PtrAlloc( 100 );
+ vCone = Vec_PtrAlloc( 100 );
+ vSol = Vec_PtrAlloc( 100 );
+ // go through the nodes in the topological order
+ CountUsed = CountUndo = 0;
+ nNodesOld = Ivy_ManObjIdNext(p);
+ Ivy_ManForEachObj( p, pObj, i )
+ {
+ assert( !Ivy_ObjIsBuf(pObj) );
+ if ( i >= nNodesOld )
+ break;
+ // skip no-nodes and MUX roots
+ if ( !Ivy_ObjIsNode(pObj) || Ivy_ObjIsExor(pObj) || Ivy_ObjIsMuxType(pObj) )
+ continue;
+// if ( pObj->Id > 297 ) // 296 --- 297
+// break;
+ if ( pObj->Id == 297 )
+ {
+ int x = 0;
+ }
+ // get the largest algebraic cut
+ RetValue = Ivy_ManFindAlgCut( pObj, vFront, vLeaves, vCone );
+ // the case of a trivial tree cut
+ if ( RetValue == 1 )
+ continue;
+ // the case of constant 0 cone
+ if ( RetValue == -1 )
+ {
+ Ivy_ObjReplace( pObj, Ivy_ManConst0(p), 1, 0, 1 );
+ continue;
+ }
+ assert( Vec_PtrSize(vLeaves) > 2 );
+ // get the required level for this node
+ LevelR = vRequired? Vec_IntEntry(vRequired, pObj->Id) : 1000000;
+ // create a new cone
+ pResult = Ivy_NodeRewriteAlg( pObj, vFront, vLeaves, vCone, vSol, LevelR, fUseZeroCost );
+ if ( pResult == NULL || pResult == pObj )
+ continue;
+ assert( Vec_PtrSize(vSol) == 1 || !Ivy_IsComplement(pResult) );
+ if ( Ivy_ObjLevel(Ivy_Regular(pResult)) > LevelR && Ivy_ObjRefs(Ivy_Regular(pResult)) == 0 )
+ Ivy_ObjDelete_rec(Ivy_Regular(pResult), 1), CountUndo++;
+ else
+ Ivy_ObjReplace( pObj, pResult, 1, 0, 1 ), CountUsed++;
+ }
+ printf( "Used = %d. Undo = %d.\n", CountUsed, CountUndo );
+ Vec_PtrFree( vFront );
+ Vec_PtrFree( vCone );
+ Vec_PtrFree( vSol );
+ if ( vRequired ) Vec_IntFree( vRequired );
+ if ( i = Ivy_ManCleanup(p) )
+ printf( "Cleanup after rewriting removed %d dangling nodes.\n", i );
+ if ( !Ivy_ManCheck(p) )
+ printf( "Ivy_ManRewriteAlg(): The check has failed.\n" );
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Analizes one node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Obj_t * Ivy_NodeRewriteAlg( Ivy_Obj_t * pObj, Vec_Ptr_t * vFront, Vec_Ptr_t * vLeaves, Vec_Ptr_t * vCone, Vec_Ptr_t * vSols, int LevelR, int fUseZeroCost )
+{
+ int fVerbose = 0;
+ Ivy_Obj_t * pTemp;
+ int k, Counter, nMffc, RetValue;
+
+ if ( fVerbose )
+ {
+ if ( Ivy_ObjIsExor(pObj) )
+ printf( "x " );
+ else
+ printf( " " );
+ }
+
+/*
+ printf( "%d ", Vec_PtrSize(vFront) );
+ printf( "( " );
+ Vec_PtrForEachEntry( vFront, pTemp, k )
+ printf( "%d ", Ivy_ObjRefs(Ivy_Regular(pTemp)) );
+ printf( ")\n" );
+*/
+ // collect nodes in the cone
+ if ( Ivy_ObjIsExor(pObj) )
+ Ivy_ManCollectCone( pObj, vFront, vCone );
+ else
+ Ivy_ManCollectCone( pObj, vLeaves, vCone );
+
+ // deref nodes in the cone
+ Vec_PtrForEachEntry( vCone, pTemp, k )
+ {
+ Ivy_ObjRefsDec( Ivy_ObjFanin0(pTemp) );
+ Ivy_ObjRefsDec( Ivy_ObjFanin1(pTemp) );
+ pTemp->fMarkB = 1;
+ }
+
+ // count the MFFC size
+ Vec_PtrForEachEntry( vFront, pTemp, k )
+ Ivy_Regular(pTemp)->fMarkA = 1;
+ nMffc = Ivy_NodeCountMffc( pObj );
+ Vec_PtrForEachEntry( vFront, pTemp, k )
+ Ivy_Regular(pTemp)->fMarkA = 0;
+
+ if ( fVerbose )
+ {
+ Counter = 0;
+ Vec_PtrForEachEntry( vCone, pTemp, k )
+ Counter += (Ivy_ObjRefs(pTemp) > 0);
+ printf( "%5d : Leaves = %2d. Cone = %2d. ConeRef = %2d. Mffc = %d. Lev = %d. LevR = %d.\n",
+ pObj->Id, Vec_PtrSize(vFront), Vec_PtrSize(vCone), Counter-1, nMffc, Ivy_ObjLevel(pObj), LevelR );
+ }
+/*
+ printf( "Leaves:" );
+ Vec_PtrForEachEntry( vLeaves, pTemp, k )
+ printf( " %d%s", Ivy_Regular(pTemp)->Id, Ivy_IsComplement(pTemp)? "\'" : "" );
+ printf( "\n" );
+ printf( "Cone:\n" );
+ Vec_PtrForEachEntry( vCone, pTemp, k )
+ printf( " %5d = %d%s %d%s\n", pTemp->Id,
+ Ivy_ObjFaninId0(pTemp), Ivy_ObjFaninC0(pTemp)? "\'" : "",
+ Ivy_ObjFaninId1(pTemp), Ivy_ObjFaninC1(pTemp)? "\'" : "" );
+*/
+
+ RetValue = Ivy_MultiPlus( vLeaves, vCone, Ivy_ObjType(pObj), nMffc + fUseZeroCost, vSols );
+
+ // ref nodes in the cone
+ Vec_PtrForEachEntry( vCone, pTemp, k )
+ {
+ Ivy_ObjRefsInc( Ivy_ObjFanin0(pTemp) );
+ Ivy_ObjRefsInc( Ivy_ObjFanin1(pTemp) );
+ pTemp->fMarkA = 0;
+ pTemp->fMarkB = 0;
+ }
+
+ if ( !RetValue )
+ return NULL;
+
+ if ( Vec_PtrSize( vSols ) == 1 )
+ return Vec_PtrEntry( vSols, 0 );
+ return Ivy_NodeBalanceBuildSuper( vSols, Ivy_ObjType(pObj), 1 );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Comparison for node pointers.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_NodeCountMffc_rec( Ivy_Obj_t * pNode )
+{
+ if ( Ivy_ObjRefs(pNode) > 0 || Ivy_ObjIsCi(pNode) || pNode->fMarkA )
+ return 0;
+ assert( pNode->fMarkB );
+ pNode->fMarkA = 1;
+// printf( "%d ", pNode->Id );
+ if ( Ivy_ObjIsBuf(pNode) )
+ return Ivy_NodeCountMffc_rec( Ivy_ObjFanin0(pNode) );
+ return 1 + Ivy_NodeCountMffc_rec( Ivy_ObjFanin0(pNode) ) + Ivy_NodeCountMffc_rec( Ivy_ObjFanin1(pNode) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Comparison for node pointers.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_NodeCountMffc( Ivy_Obj_t * pNode )
+{
+ assert( pNode->fMarkB );
+ return 1 + Ivy_NodeCountMffc_rec( Ivy_ObjFanin0(pNode) ) + Ivy_NodeCountMffc_rec( Ivy_ObjFanin1(pNode) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Comparison for node pointers.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_ManFindAlgCutCompare( Ivy_Obj_t ** pp1, Ivy_Obj_t ** pp2 )
+{
+ if ( *pp1 < *pp2 )
+ return -1;
+ if ( *pp1 > *pp2 )
+ return 1;
+ return 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computing one algebraic cut.]
+
+ Description [Returns 1 if the tree-leaves of this node where traversed
+ and found to have no external references (and have not been collected).
+ Returns 0 if the tree-leaves have external references and are collected.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_ManFindAlgCut_rec( Ivy_Obj_t * pObj, Ivy_Type_t Type, Vec_Ptr_t * vFront, Vec_Ptr_t * vCone )
+{
+ int RetValue0, RetValue1;
+ Ivy_Obj_t * pObjR = Ivy_Regular(pObj);
+ assert( !Ivy_ObjIsBuf(pObjR) );
+ assert( Type != IVY_EXOR || !Ivy_IsComplement(pObj) );
+
+ // make sure the node is not visited twice in different polarities
+ if ( Ivy_IsComplement(pObj) )
+ { // if complemented, mark B
+ if ( pObjR->fMarkA )
+ return -1;
+ pObjR->fMarkB = 1;
+ }
+ else
+ { // if non-complicated, mark A
+ if ( pObjR->fMarkB )
+ return -1;
+ pObjR->fMarkA = 1;
+ }
+ Vec_PtrPush( vCone, pObjR );
+
+ // if the node is the end of the tree, return
+ if ( Ivy_IsComplement(pObj) || Ivy_ObjType(pObj) != Type )
+ {
+ if ( Ivy_ObjRefs(pObjR) == 1 )
+ return 1;
+ assert( Ivy_ObjRefs(pObjR) > 1 );
+ Vec_PtrPush( vFront, pObj );
+ return 0;
+ }
+
+ // branch on the node
+ assert( !Ivy_IsComplement(pObj) );
+ assert( Ivy_ObjIsNode(pObj) );
+ // what if buffer has more than one fanout???
+ RetValue0 = Ivy_ManFindAlgCut_rec( Ivy_ObjReal( Ivy_ObjChild0(pObj) ), Type, vFront, vCone );
+ RetValue1 = Ivy_ManFindAlgCut_rec( Ivy_ObjReal( Ivy_ObjChild1(pObj) ), Type, vFront, vCone );
+ if ( RetValue0 == -1 || RetValue1 == -1 )
+ return -1;
+
+ // the case when both have no external references
+ if ( RetValue0 && RetValue1 )
+ {
+ if ( Ivy_ObjRefs(pObj) == 1 )
+ return 1;
+ assert( Ivy_ObjRefs(pObj) > 1 );
+ Vec_PtrPush( vFront, pObj );
+ return 0;
+ }
+ // the case when one of them has external references
+ if ( RetValue0 )
+ Vec_PtrPush( vFront, Ivy_ObjReal( Ivy_ObjChild0(pObj) ) );
+ if ( RetValue1 )
+ Vec_PtrPush( vFront, Ivy_ObjReal( Ivy_ObjChild1(pObj) ) );
+ return 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computing one algebraic cut.]
+
+ Description [Algebraic cut stops when we hit (a) CI, (b) complemented edge,
+ (c) boundary of different gates. Returns 1 if this is a pure tree.
+ Returns -1 if the contant 0 is detected. Return 0 if the array can be used.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_ManFindAlgCut( Ivy_Obj_t * pRoot, Vec_Ptr_t * vFront, Vec_Ptr_t * vLeaves, Vec_Ptr_t * vCone )
+{
+ Ivy_Obj_t * pObj, * pPrev;
+ int RetValue, i;
+ assert( !Ivy_IsComplement(pRoot) );
+ assert( Ivy_ObjIsNode(pRoot) );
+ // clear the frontier and collect the nodes
+ Vec_PtrClear( vCone );
+ Vec_PtrClear( vFront );
+ Vec_PtrClear( vLeaves );
+ RetValue = Ivy_ManFindAlgCut_rec( pRoot, Ivy_ObjType(pRoot), vFront, vCone );
+ // clean the marks
+ Vec_PtrForEachEntry( vCone, pObj, i )
+ pObj->fMarkA = pObj->fMarkB = 0;
+ // quit if the same node is found in both polarities
+ if ( RetValue == -1 )
+ return -1;
+ // return if the node is the root of a tree
+ if ( RetValue == 1 )
+ return 1;
+ // return if the cut is composed of two nodes
+ if ( Vec_PtrSize(vFront) <= 2 )
+ return 1;
+ // sort the entries in increasing order
+ Vec_PtrSort( vFront, Ivy_ManFindAlgCutCompare );
+ // remove duplicates from vFront and save the nodes in vLeaves
+ pPrev = Vec_PtrEntry(vFront, 0);
+ Vec_PtrPush( vLeaves, pPrev );
+ Vec_PtrForEachEntryStart( vFront, pObj, i, 1 )
+ {
+ // compare current entry and the previous entry
+ if ( pObj == pPrev )
+ {
+ if ( Ivy_ObjIsExor(pRoot) ) // A <+> A = 0
+ {
+ // vLeaves are no longer structural support of pRoot!!!
+ Vec_PtrPop(vLeaves);
+ pPrev = Vec_PtrSize(vLeaves) == 0 ? NULL : Vec_PtrEntryLast(vLeaves);
+ }
+ continue;
+ }
+ if ( pObj == Ivy_Not(pPrev) )
+ {
+ assert( Ivy_ObjIsAnd(pRoot) );
+ return -1;
+ }
+ pPrev = pObj;
+ Vec_PtrPush( vLeaves, pObj );
+ }
+ if ( Vec_PtrSize(vLeaves) == 0 )
+ return -1;
+ if ( Vec_PtrSize(vLeaves) <= 2 )
+ return 1;
+ return 0;
+}
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/ivy/ivySeq.c b/src/aig/ivy/ivySeq.c
new file mode 100644
index 00000000..0ee29fee
--- /dev/null
+++ b/src/aig/ivy/ivySeq.c
@@ -0,0 +1,1134 @@
+/**CFile****************************************************************
+
+ FileName [ivySeq.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [And-Inverter Graph package.]
+
+ Synopsis []
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - May 11, 2006.]
+
+ Revision [$Id: ivySeq.c,v 1.00 2006/05/11 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "ivy.h"
+#include "deco.h"
+#include "rwt.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+static int Ivy_NodeRewriteSeq( Ivy_Man_t * pMan, Rwt_Man_t * p, Ivy_Obj_t * pNode, int fUseZeroCost );
+static void Ivy_GraphPrepare( Dec_Graph_t * pGraph, Ivy_Cut_t * pCut, Vec_Ptr_t * vFanins, char * pPerm );
+static unsigned Ivy_CutGetTruth( Ivy_Man_t * p, Ivy_Obj_t * pObj, int * pNums, int nNums );
+static Dec_Graph_t * Rwt_CutEvaluateSeq( Ivy_Man_t * pMan, Rwt_Man_t * p, Ivy_Obj_t * pRoot, Ivy_Cut_t * pCut, char * pPerm, Vec_Ptr_t * vFaninsCur, int nNodesSaved, int * pGainBest, unsigned uTruth );
+static int Ivy_GraphToNetworkSeqCountSeq( Ivy_Man_t * p, Ivy_Obj_t * pRoot, Dec_Graph_t * pGraph, int NodeMax );
+static Ivy_Obj_t * Ivy_GraphToNetworkSeq( Ivy_Man_t * p, Dec_Graph_t * pGraph );
+static void Ivy_GraphUpdateNetworkSeq( Ivy_Man_t * p, Ivy_Obj_t * pRoot, Dec_Graph_t * pGraph, int nGain );
+static Ivy_Store_t * Ivy_CutComputeForNode( Ivy_Man_t * p, Ivy_Obj_t * pObj, int nLeaves );
+
+static inline int Ivy_CutHashValue( int NodeId ) { return 1 << (NodeId % 31); }
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+//int nMoves;
+//int nMovesS;
+//int nClauses;
+//int timeInv;
+
+/**Function*************************************************************
+
+ Synopsis [Performs incremental rewriting of the AIG.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_ManRewriteSeq( Ivy_Man_t * p, int fUseZeroCost, int fVerbose )
+{
+ Rwt_Man_t * pManRwt;
+ Ivy_Obj_t * pNode;
+ int i, nNodes, nGain;
+ int clk, clkStart = clock();
+
+ // set the DC latch values
+ Ivy_ManForEachLatch( p, pNode, i )
+ pNode->Init = IVY_INIT_DC;
+ // start the rewriting manager
+ pManRwt = Rwt_ManStart( 0 );
+ p->pData = pManRwt;
+ if ( pManRwt == NULL )
+ return 0;
+ // create fanouts
+ if ( p->fFanout == 0 )
+ Ivy_ManStartFanout( p );
+ // resynthesize each node once
+ nNodes = Ivy_ManObjIdMax(p);
+ Ivy_ManForEachNode( p, pNode, i )
+ {
+ assert( !Ivy_ObjIsBuf(pNode) );
+ assert( !Ivy_ObjIsBuf(Ivy_ObjFanin0(pNode)) );
+ assert( !Ivy_ObjIsBuf(Ivy_ObjFanin1(pNode)) );
+ // fix the fanin buffer problem
+// Ivy_NodeFixBufferFanins( p, pNode );
+// if ( Ivy_ObjIsBuf(pNode) )
+// continue;
+ // stop if all nodes have been tried once
+ if ( i > nNodes )
+ break;
+ // for each cut, try to resynthesize it
+ nGain = Ivy_NodeRewriteSeq( p, pManRwt, pNode, fUseZeroCost );
+ if ( nGain > 0 || nGain == 0 && fUseZeroCost )
+ {
+ Dec_Graph_t * pGraph = Rwt_ManReadDecs(pManRwt);
+ int fCompl = Rwt_ManReadCompl(pManRwt);
+ // complement the FF if needed
+clk = clock();
+ if ( fCompl ) Dec_GraphComplement( pGraph );
+ Ivy_GraphUpdateNetworkSeq( p, pNode, pGraph, nGain );
+ if ( fCompl ) Dec_GraphComplement( pGraph );
+Rwt_ManAddTimeUpdate( pManRwt, clock() - clk );
+ }
+ }
+Rwt_ManAddTimeTotal( pManRwt, clock() - clkStart );
+ // print stats
+ if ( fVerbose )
+ Rwt_ManPrintStats( pManRwt );
+ // delete the managers
+ Rwt_ManStop( pManRwt );
+ p->pData = NULL;
+ // fix the levels
+ Ivy_ManResetLevels( p );
+// if ( Ivy_ManCheckFanoutNums(p) )
+// printf( "Ivy_ManRewritePre(): The check has failed.\n" );
+ // check
+ if ( !Ivy_ManCheck(p) )
+ printf( "Ivy_ManRewritePre(): The check has failed.\n" );
+ return 1;
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Performs rewriting for one node.]
+
+ Description [This procedure considers all the cuts computed for the node
+ and tries to rewrite each of them using the "forest" of different AIG
+ structures precomputed and stored in the RWR manager.
+ Determines the best rewriting and computes the gain in the number of AIG
+ nodes in the final network. In the end, p->vFanins contains information
+ about the best cut that can be used for rewriting, while p->pGraph gives
+ the decomposition dag (represented using decomposition graph data structure).
+ Returns gain in the number of nodes or -1 if node cannot be rewritten.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_NodeRewriteSeq( Ivy_Man_t * pMan, Rwt_Man_t * p, Ivy_Obj_t * pNode, int fUseZeroCost )
+{
+ int fVeryVerbose = 0;
+ Dec_Graph_t * pGraph;
+ Ivy_Store_t * pStore;
+ Ivy_Cut_t * pCut;
+ Ivy_Obj_t * pFanin;//, * pFanout;
+ Vec_Ptr_t * vFanout;
+ unsigned uPhase, uTruthBest, uTruth;//, nNewClauses;
+ char * pPerm;
+ int nNodesSaved, nNodesSaveCur;
+ int i, c, GainCur, GainBest = -1;
+ int clk, clk2;//, clk3;
+
+ p->nNodesConsidered++;
+ // get the node's cuts
+clk = clock();
+ pStore = Ivy_CutComputeForNode( pMan, pNode, 5 );
+p->timeCut += clock() - clk;
+
+ // go through the cuts
+clk = clock();
+ vFanout = Vec_PtrAlloc( 100 );
+ for ( c = 1; c < pStore->nCuts; c++ )
+ {
+ pCut = pStore->pCuts + c;
+ // consider only 4-input cuts
+ if ( pCut->nSize != 4 )
+ continue;
+ // skip the cuts with buffers
+ for ( i = 0; i < (int)pCut->nSize; i++ )
+ if ( Ivy_ObjIsBuf( Ivy_ManObj(pMan, Ivy_LeafId(pCut->pArray[i])) ) )
+ break;
+ if ( i != pCut->nSize )
+ {
+ p->nCutsBad++;
+ continue;
+ }
+ p->nCutsGood++;
+ // get the fanin permutation
+clk2 = clock();
+ uTruth = 0xFFFF & Ivy_CutGetTruth( pMan, pNode, pCut->pArray, pCut->nSize ); // truth table
+p->timeTruth += clock() - clk2;
+ pPerm = p->pPerms4[ p->pPerms[uTruth] ];
+ uPhase = p->pPhases[uTruth];
+ // collect fanins with the corresponding permutation/phase
+ Vec_PtrClear( p->vFaninsCur );
+ Vec_PtrFill( p->vFaninsCur, (int)pCut->nSize, 0 );
+ for ( i = 0; i < (int)pCut->nSize; i++ )
+ {
+ pFanin = Ivy_ManObj( pMan, Ivy_LeafId( pCut->pArray[pPerm[i]] ) );
+ assert( Ivy_ObjIsNode(pFanin) || Ivy_ObjIsCi(pFanin) || Ivy_ObjIsConst1(pFanin) );
+ pFanin = Ivy_NotCond(pFanin, ((uPhase & (1<<i)) > 0) );
+ Vec_PtrWriteEntry( p->vFaninsCur, i, pFanin );
+ }
+clk2 = clock();
+ // mark the fanin boundary
+ Vec_PtrForEachEntry( p->vFaninsCur, pFanin, i )
+ Ivy_ObjRefsInc( Ivy_Regular(pFanin) );
+ // label MFFC with current ID
+ Ivy_ManIncrementTravId( pMan );
+ nNodesSaved = Ivy_ObjMffcLabel( pMan, pNode );
+ // label fanouts with the current ID
+// Ivy_ObjForEachFanout( pMan, pNode, vFanout, pFanout, i )
+// Ivy_ObjSetTravIdCurrent( pMan, pFanout );
+ // unmark the fanin boundary
+ Vec_PtrForEachEntry( p->vFaninsCur, pFanin, i )
+ Ivy_ObjRefsDec( Ivy_Regular(pFanin) );
+p->timeMffc += clock() - clk2;
+
+ // evaluate the cut
+clk2 = clock();
+ pGraph = Rwt_CutEvaluateSeq( pMan, p, pNode, pCut, pPerm, p->vFaninsCur, nNodesSaved, &GainCur, uTruth );
+p->timeEval += clock() - clk2;
+
+
+ // check if the cut is better than the current best one
+ if ( pGraph != NULL && GainBest < GainCur )
+ {
+ // save this form
+ nNodesSaveCur = nNodesSaved;
+ GainBest = GainCur;
+ p->pGraph = pGraph;
+ p->pCut = pCut;
+ p->pPerm = pPerm;
+ p->fCompl = ((uPhase & (1<<4)) > 0);
+ uTruthBest = uTruth;
+ // collect fanins in the
+ Vec_PtrClear( p->vFanins );
+ Vec_PtrForEachEntry( p->vFaninsCur, pFanin, i )
+ Vec_PtrPush( p->vFanins, pFanin );
+ }
+ }
+ Vec_PtrFree( vFanout );
+p->timeRes += clock() - clk;
+
+ if ( GainBest == -1 )
+ return -1;
+/*
+ {
+ Ivy_Cut_t * pCut = p->pCut;
+ printf( "Node %5d. Using cut : {", Ivy_ObjId(pNode) );
+ for ( i = 0; i < pCut->nSize; i++ )
+ printf( " %d(%d)", Ivy_LeafId(pCut->pArray[i]), Ivy_LeafLat(pCut->pArray[i]) );
+ printf( " }\n" );
+ }
+*/
+
+//clk3 = clock();
+//nNewClauses = Ivy_CutTruthPrint( pMan, p->pCut, uTruth );
+//timeInv += clock() - clk;
+
+// nClauses += nNewClauses;
+// nMoves++;
+// if ( nNewClauses > 0 )
+// nMovesS++;
+
+ // copy the leaves
+ Ivy_GraphPrepare( p->pGraph, p->pCut, p->vFanins, p->pPerm );
+
+ p->nScores[p->pMap[uTruthBest]]++;
+ p->nNodesGained += GainBest;
+ if ( fUseZeroCost || GainBest > 0 )
+ p->nNodesRewritten++;
+
+/*
+ if ( GainBest > 0 )
+ {
+ Ivy_Cut_t * pCut = p->pCut;
+ printf( "Node %5d. Using cut : {", Ivy_ObjId(pNode) );
+ for ( i = 0; i < pCut->nSize; i++ )
+ printf( " %5d(%2d)", Ivy_LeafId(pCut->pArray[i]), Ivy_LeafLat(pCut->pArray[i]) );
+ printf( " }\n" );
+ }
+*/
+
+ // report the progress
+ if ( fVeryVerbose && GainBest > 0 )
+ {
+ printf( "Node %6d : ", Ivy_ObjId(pNode) );
+ printf( "Fanins = %d. ", p->vFanins->nSize );
+ printf( "Save = %d. ", nNodesSaveCur );
+ printf( "Add = %d. ", nNodesSaveCur-GainBest );
+ printf( "GAIN = %d. ", GainBest );
+ printf( "Cone = %d. ", p->pGraph? Dec_GraphNodeNum(p->pGraph) : 0 );
+ printf( "Class = %d. ", p->pMap[uTruthBest] );
+ printf( "\n" );
+ }
+ return GainBest;
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Evaluates the cut.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Dec_Graph_t * Rwt_CutEvaluateSeq( Ivy_Man_t * pMan, Rwt_Man_t * p, Ivy_Obj_t * pRoot, Ivy_Cut_t * pCut, char * pPerm, Vec_Ptr_t * vFaninsCur, int nNodesSaved, int * pGainBest, unsigned uTruth )
+{
+ Vec_Ptr_t * vSubgraphs;
+ Dec_Graph_t * pGraphBest, * pGraphCur;
+ Rwt_Node_t * pNode;
+ int nNodesAdded, GainBest, i;
+ // find the matching class of subgraphs
+ vSubgraphs = Vec_VecEntry( p->vClasses, p->pMap[uTruth] );
+ p->nSubgraphs += vSubgraphs->nSize;
+ // determine the best subgraph
+ GainBest = -1;
+ Vec_PtrForEachEntry( vSubgraphs, pNode, i )
+ {
+ // get the current graph
+ pGraphCur = (Dec_Graph_t *)pNode->pNext;
+
+// if ( pRoot->Id == 8648 )
+// Dec_GraphPrint( stdout, pGraphCur, NULL, NULL );
+ // copy the leaves
+// Vec_PtrForEachEntry( vFaninsCur, pFanin, k )
+// Dec_GraphNode(pGraphCur, k)->pFunc = pFanin;
+ Ivy_GraphPrepare( pGraphCur, pCut, vFaninsCur, pPerm );
+
+ // detect how many unlabeled nodes will be reused
+ nNodesAdded = Ivy_GraphToNetworkSeqCountSeq( pMan, pRoot, pGraphCur, nNodesSaved );
+ if ( nNodesAdded == -1 )
+ continue;
+ assert( nNodesSaved >= nNodesAdded );
+ // count the gain at this node
+ if ( GainBest < nNodesSaved - nNodesAdded )
+ {
+ GainBest = nNodesSaved - nNodesAdded;
+ pGraphBest = pGraphCur;
+ }
+ }
+ if ( GainBest == -1 )
+ return NULL;
+ *pGainBest = GainBest;
+ return pGraphBest;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_GraphPrepare( Dec_Graph_t * pGraph, Ivy_Cut_t * pCut, Vec_Ptr_t * vFanins, char * pPerm )
+{
+ Dec_Node_t * pNode, * pNode0, * pNode1;
+ int i;
+ assert( Dec_GraphLeaveNum(pGraph) == pCut->nSize );
+ assert( Vec_PtrSize(vFanins) == pCut->nSize );
+ // label the leaves with latch numbers
+ Dec_GraphForEachLeaf( pGraph, pNode, i )
+ {
+ pNode->pFunc = Vec_PtrEntry( vFanins, i );
+ pNode->nLat2 = Ivy_LeafLat( pCut->pArray[pPerm[i]] );
+ }
+ // propagate latches through the nodes
+ Dec_GraphForEachNode( pGraph, pNode, i )
+ {
+ // get the children of this node
+ pNode0 = Dec_GraphNode( pGraph, pNode->eEdge0.Node );
+ pNode1 = Dec_GraphNode( pGraph, pNode->eEdge1.Node );
+ // distribute the latches
+ pNode->nLat2 = IVY_MIN( pNode0->nLat2, pNode1->nLat2 );
+ pNode->nLat0 = pNode0->nLat2 - pNode->nLat2;
+ pNode->nLat1 = pNode1->nLat2 - pNode->nLat2;
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Counts the number of new nodes added when using this graph.]
+
+ Description [AIG nodes for the fanins should be assigned to pNode->pFunc
+ of the leaves of the graph before calling this procedure.
+ Returns -1 if the number of nodes and levels exceeded the given limit or
+ the number of levels exceeded the maximum allowed level.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_GraphToNetworkSeqCountSeq( Ivy_Man_t * p, Ivy_Obj_t * pRoot, Dec_Graph_t * pGraph, int NodeMax )
+{
+ Dec_Node_t * pNode, * pNode0, * pNode1;
+ Ivy_Obj_t * pAnd, * pAnd0, * pAnd1;
+ int i, k, Counter, fCompl;
+ // check for constant function or a literal
+ if ( Dec_GraphIsConst(pGraph) || Dec_GraphIsVar(pGraph) )
+ return 0;
+ // compute the AIG size after adding the internal nodes
+ Counter = 0;
+ Dec_GraphForEachNode( pGraph, pNode, i )
+ {
+ // get the children of this node
+ pNode0 = Dec_GraphNode( pGraph, pNode->eEdge0.Node );
+ pNode1 = Dec_GraphNode( pGraph, pNode->eEdge1.Node );
+ // get the AIG nodes corresponding to the children
+ pAnd0 = pNode0->pFunc;
+ pAnd1 = pNode1->pFunc;
+ // skip the latches
+ for ( k = 0; pAnd0 && k < (int)pNode->nLat0; k++ )
+ {
+ fCompl = Ivy_IsComplement(pAnd0);
+ pAnd0 = Ivy_TableLookup( p, Ivy_ObjCreateGhost(p, Ivy_Regular(pAnd0), NULL, IVY_LATCH, IVY_INIT_DC) );
+ if ( pAnd0 )
+ pAnd0 = Ivy_NotCond( pAnd0, fCompl );
+ }
+ for ( k = 0; pAnd1 && k < (int)pNode->nLat1; k++ )
+ {
+ fCompl = Ivy_IsComplement(pAnd1);
+ pAnd1 = Ivy_TableLookup( p, Ivy_ObjCreateGhost(p, Ivy_Regular(pAnd1), NULL, IVY_LATCH, IVY_INIT_DC) );
+ if ( pAnd1 )
+ pAnd1 = Ivy_NotCond( pAnd1, fCompl );
+ }
+ // get the new node
+ if ( pAnd0 && pAnd1 )
+ {
+ // if they are both present, find the resulting node
+ pAnd0 = Ivy_NotCond( pAnd0, pNode->eEdge0.fCompl );
+ pAnd1 = Ivy_NotCond( pAnd1, pNode->eEdge1.fCompl );
+ assert( !Ivy_ObjIsLatch(Ivy_Regular(pAnd0)) || !Ivy_ObjIsLatch(Ivy_Regular(pAnd1)) );
+ if ( Ivy_Regular(pAnd0) == Ivy_Regular(pAnd1) || Ivy_ObjIsConst1(Ivy_Regular(pAnd0)) || Ivy_ObjIsConst1(Ivy_Regular(pAnd1)) )
+ pAnd = Ivy_And( p, pAnd0, pAnd1 );
+ else
+ pAnd = Ivy_TableLookup( p, Ivy_ObjCreateGhost(p, pAnd0, pAnd1, IVY_AND, IVY_INIT_NONE) );
+ // return -1 if the node is the same as the original root
+ if ( Ivy_Regular(pAnd) == pRoot )
+ return -1;
+ }
+ else
+ pAnd = NULL;
+ // count the number of added nodes
+ if ( pAnd == NULL || Ivy_ObjIsTravIdCurrent(p, Ivy_Regular(pAnd)) )
+ {
+ if ( ++Counter > NodeMax )
+ return -1;
+ }
+ pNode->pFunc = pAnd;
+ }
+ return Counter;
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Transforms the decomposition graph into the AIG.]
+
+ Description [AIG nodes for the fanins should be assigned to pNode->pFunc
+ of the leaves of the graph before calling this procedure.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Obj_t * Ivy_GraphToNetworkSeq( Ivy_Man_t * p, Dec_Graph_t * pGraph )
+{
+ Ivy_Obj_t * pAnd0, * pAnd1;
+ Dec_Node_t * pNode;
+ int i, k;
+ // check for constant function
+ if ( Dec_GraphIsConst(pGraph) )
+ return Ivy_NotCond( Ivy_ManConst1(p), Dec_GraphIsComplement(pGraph) );
+ // check for a literal
+ if ( Dec_GraphIsVar(pGraph) )
+ {
+ // get the variable node
+ pNode = Dec_GraphVar(pGraph);
+ // add the remaining latches
+ for ( k = 0; k < (int)pNode->nLat2; k++ )
+ pNode->pFunc = Ivy_Latch( p, pNode->pFunc, IVY_INIT_DC );
+ return Ivy_NotCond( pNode->pFunc, Dec_GraphIsComplement(pGraph) );
+ }
+ // build the AIG nodes corresponding to the AND gates of the graph
+ Dec_GraphForEachNode( pGraph, pNode, i )
+ {
+ pAnd0 = Ivy_NotCond( Dec_GraphNode(pGraph, pNode->eEdge0.Node)->pFunc, pNode->eEdge0.fCompl );
+ pAnd1 = Ivy_NotCond( Dec_GraphNode(pGraph, pNode->eEdge1.Node)->pFunc, pNode->eEdge1.fCompl );
+ // add the latches
+ for ( k = 0; k < (int)pNode->nLat0; k++ )
+ pAnd0 = Ivy_Latch( p, pAnd0, IVY_INIT_DC );
+ for ( k = 0; k < (int)pNode->nLat1; k++ )
+ pAnd1 = Ivy_Latch( p, pAnd1, IVY_INIT_DC );
+ // create the node
+ pNode->pFunc = Ivy_And( p, pAnd0, pAnd1 );
+ }
+ // add the remaining latches
+ for ( k = 0; k < (int)pNode->nLat2; k++ )
+ pNode->pFunc = Ivy_Latch( p, pNode->pFunc, IVY_INIT_DC );
+ // complement the result if necessary
+ return Ivy_NotCond( pNode->pFunc, Dec_GraphIsComplement(pGraph) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Replaces MFFC of the node by the new factored form.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_GraphUpdateNetworkSeq( Ivy_Man_t * p, Ivy_Obj_t * pRoot, Dec_Graph_t * pGraph, int nGain )
+{
+ Ivy_Obj_t * pRootNew;
+ int nNodesNew, nNodesOld;
+ nNodesOld = Ivy_ManNodeNum(p);
+ // create the new structure of nodes
+ pRootNew = Ivy_GraphToNetworkSeq( p, pGraph );
+ Ivy_ObjReplace( p, pRoot, pRootNew, 1, 0, 0 );
+ // compare the gains
+ nNodesNew = Ivy_ManNodeNum(p);
+ assert( nGain <= nNodesOld - nNodesNew );
+ // propagate the buffer
+ Ivy_ManPropagateBuffers( p, 0 );
+}
+
+
+
+
+
+
+
+
+
+/**Function*************************************************************
+
+ Synopsis [Computes the truth table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+unsigned Ivy_CutGetTruth_rec( Ivy_Man_t * p, int Leaf, int * pNums, int nNums )
+{
+ static unsigned uMasks[5] = { 0xAAAAAAAA, 0xCCCCCCCC, 0xF0F0F0F0, 0xFF00FF00, 0xFFFF0000 };
+ unsigned uTruth0, uTruth1;
+ Ivy_Obj_t * pObj;
+ int i;
+ for ( i = 0; i < nNums; i++ )
+ if ( Leaf == pNums[i] )
+ return uMasks[i];
+ pObj = Ivy_ManObj( p, Ivy_LeafId(Leaf) );
+ if ( Ivy_ObjIsLatch(pObj) )
+ {
+ assert( !Ivy_ObjFaninC0(pObj) );
+ Leaf = Ivy_LeafCreate( Ivy_ObjFaninId0(pObj), Ivy_LeafLat(Leaf) + 1 );
+ return Ivy_CutGetTruth_rec( p, Leaf, pNums, nNums );
+ }
+ assert( Ivy_ObjIsNode(pObj) || Ivy_ObjIsBuf(pObj) );
+ Leaf = Ivy_LeafCreate( Ivy_ObjFaninId0(pObj), Ivy_LeafLat(Leaf) );
+ uTruth0 = Ivy_CutGetTruth_rec( p, Leaf, pNums, nNums );
+ if ( Ivy_ObjFaninC0(pObj) )
+ uTruth0 = ~uTruth0;
+ if ( Ivy_ObjIsBuf(pObj) )
+ return uTruth0;
+ Leaf = Ivy_LeafCreate( Ivy_ObjFaninId1(pObj), Ivy_LeafLat(Leaf) );
+ uTruth1 = Ivy_CutGetTruth_rec( p, Leaf, pNums, nNums );
+ if ( Ivy_ObjFaninC1(pObj) )
+ uTruth1 = ~uTruth1;
+ return uTruth0 & uTruth1;
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Computes the truth table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+unsigned Ivy_CutGetTruth( Ivy_Man_t * p, Ivy_Obj_t * pObj, int * pNums, int nNums )
+{
+ assert( Ivy_ObjIsNode(pObj) );
+ assert( nNums < 6 );
+ return Ivy_CutGetTruth_rec( p, Ivy_LeafCreate(pObj->Id, 0), pNums, nNums );
+}
+
+
+
+
+
+/**Function*************************************************************
+
+ Synopsis [Returns 1 if the cut can be constructed; 0 otherwise.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int Ivy_CutPrescreen( Ivy_Cut_t * pCut, int Id0, int Id1 )
+{
+ int i;
+ if ( pCut->nSize < pCut->nSizeMax )
+ return 1;
+ for ( i = 0; i < pCut->nSize; i++ )
+ if ( pCut->pArray[i] == Id0 || pCut->pArray[i] == Id1 )
+ return 1;
+ return 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Derives new cut.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int Ivy_CutDeriveNew2( Ivy_Cut_t * pCut, Ivy_Cut_t * pCutNew, int IdOld, int IdNew0, int IdNew1 )
+{
+ unsigned uHash = 0;
+ int i, k;
+ assert( pCut->nSize > 0 );
+ assert( IdNew0 < IdNew1 );
+ for ( i = k = 0; i < pCut->nSize; i++ )
+ {
+ if ( pCut->pArray[i] == IdOld )
+ continue;
+ if ( IdNew0 >= 0 )
+ {
+ if ( IdNew0 <= pCut->pArray[i] )
+ {
+ if ( IdNew0 < pCut->pArray[i] )
+ {
+ if ( k == pCut->nSizeMax )
+ return 0;
+ pCutNew->pArray[ k++ ] = IdNew0;
+ uHash |= Ivy_CutHashValue( IdNew0 );
+ }
+ IdNew0 = -1;
+ }
+ }
+ if ( IdNew1 >= 0 )
+ {
+ if ( IdNew1 <= pCut->pArray[i] )
+ {
+ if ( IdNew1 < pCut->pArray[i] )
+ {
+ if ( k == pCut->nSizeMax )
+ return 0;
+ pCutNew->pArray[ k++ ] = IdNew1;
+ uHash |= Ivy_CutHashValue( IdNew1 );
+ }
+ IdNew1 = -1;
+ }
+ }
+ if ( k == pCut->nSizeMax )
+ return 0;
+ pCutNew->pArray[ k++ ] = pCut->pArray[i];
+ uHash |= Ivy_CutHashValue( pCut->pArray[i] );
+ }
+ if ( IdNew0 >= 0 )
+ {
+ if ( k == pCut->nSizeMax )
+ return 0;
+ pCutNew->pArray[ k++ ] = IdNew0;
+ uHash |= Ivy_CutHashValue( IdNew0 );
+ }
+ if ( IdNew1 >= 0 )
+ {
+ if ( k == pCut->nSizeMax )
+ return 0;
+ pCutNew->pArray[ k++ ] = IdNew1;
+ uHash |= Ivy_CutHashValue( IdNew1 );
+ }
+ pCutNew->nSize = k;
+ pCutNew->uHash = uHash;
+ assert( pCutNew->nSize <= pCut->nSizeMax );
+ for ( i = 1; i < pCutNew->nSize; i++ )
+ assert( pCutNew->pArray[i-1] < pCutNew->pArray[i] );
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Derives new cut.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int Ivy_CutDeriveNew( Ivy_Cut_t * pCut, Ivy_Cut_t * pCutNew, int IdOld, int IdNew0, int IdNew1 )
+{
+ unsigned uHash = 0;
+ int i, k;
+ assert( pCut->nSize > 0 );
+ assert( IdNew0 < IdNew1 );
+ for ( i = k = 0; i < pCut->nSize; i++ )
+ {
+ if ( pCut->pArray[i] == IdOld )
+ continue;
+ if ( IdNew0 <= pCut->pArray[i] )
+ {
+ if ( IdNew0 < pCut->pArray[i] )
+ {
+ pCutNew->pArray[ k++ ] = IdNew0;
+ uHash |= Ivy_CutHashValue( IdNew0 );
+ }
+ IdNew0 = 0x7FFFFFFF;
+ }
+ if ( IdNew1 <= pCut->pArray[i] )
+ {
+ if ( IdNew1 < pCut->pArray[i] )
+ {
+ pCutNew->pArray[ k++ ] = IdNew1;
+ uHash |= Ivy_CutHashValue( IdNew1 );
+ }
+ IdNew1 = 0x7FFFFFFF;
+ }
+ pCutNew->pArray[ k++ ] = pCut->pArray[i];
+ uHash |= Ivy_CutHashValue( pCut->pArray[i] );
+ }
+ if ( IdNew0 < 0x7FFFFFFF )
+ {
+ pCutNew->pArray[ k++ ] = IdNew0;
+ uHash |= Ivy_CutHashValue( IdNew0 );
+ }
+ if ( IdNew1 < 0x7FFFFFFF )
+ {
+ pCutNew->pArray[ k++ ] = IdNew1;
+ uHash |= Ivy_CutHashValue( IdNew1 );
+ }
+ pCutNew->nSize = k;
+ pCutNew->uHash = uHash;
+ assert( pCutNew->nSize <= pCut->nSizeMax );
+// for ( i = 1; i < pCutNew->nSize; i++ )
+// assert( pCutNew->pArray[i-1] < pCutNew->pArray[i] );
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Find the hash value of the cut.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline unsigned Ivy_NodeCutHash( Ivy_Cut_t * pCut )
+{
+ int i;
+ pCut->uHash = 0;
+ for ( i = 0; i < pCut->nSize; i++ )
+ pCut->uHash |= (1 << (pCut->pArray[i] % 31));
+ return pCut->uHash;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Derives new cut.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int Ivy_CutDeriveNew3( Ivy_Cut_t * pCut, Ivy_Cut_t * pCutNew, int IdOld, int IdNew0, int IdNew1 )
+{
+ int i, k;
+ assert( pCut->nSize > 0 );
+ assert( IdNew0 < IdNew1 );
+ for ( i = k = 0; i < pCut->nSize; i++ )
+ {
+ if ( pCut->pArray[i] == IdOld )
+ continue;
+ if ( IdNew0 <= pCut->pArray[i] )
+ {
+ if ( IdNew0 < pCut->pArray[i] )
+ pCutNew->pArray[ k++ ] = IdNew0;
+ IdNew0 = 0x7FFFFFFF;
+ }
+ if ( IdNew1 <= pCut->pArray[i] )
+ {
+ if ( IdNew1 < pCut->pArray[i] )
+ pCutNew->pArray[ k++ ] = IdNew1;
+ IdNew1 = 0x7FFFFFFF;
+ }
+ pCutNew->pArray[ k++ ] = pCut->pArray[i];
+ }
+ if ( IdNew0 < 0x7FFFFFFF )
+ pCutNew->pArray[ k++ ] = IdNew0;
+ if ( IdNew1 < 0x7FFFFFFF )
+ pCutNew->pArray[ k++ ] = IdNew1;
+ pCutNew->nSize = k;
+ assert( pCutNew->nSize <= pCut->nSizeMax );
+ Ivy_NodeCutHash( pCutNew );
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns 1 if pDom is contained in pCut.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int Ivy_CutCheckDominance( Ivy_Cut_t * pDom, Ivy_Cut_t * pCut )
+{
+ int i, k;
+ for ( i = 0; i < pDom->nSize; i++ )
+ {
+ assert( i==0 || pDom->pArray[i-1] < pDom->pArray[i] );
+ for ( k = 0; k < pCut->nSize; k++ )
+ if ( pDom->pArray[i] == pCut->pArray[k] )
+ break;
+ if ( k == pCut->nSize ) // node i in pDom is not contained in pCut
+ return 0;
+ }
+ // every node in pDom is contained in pCut
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Check if the cut exists.]
+
+ Description [Returns 1 if the cut exists.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_CutFindOrAddFilter( Ivy_Store_t * pCutStore, Ivy_Cut_t * pCutNew )
+{
+ Ivy_Cut_t * pCut;
+ int i, k;
+ assert( pCutNew->uHash );
+ // try to find the cut
+ for ( i = 0; i < pCutStore->nCuts; i++ )
+ {
+ pCut = pCutStore->pCuts + i;
+ if ( pCut->nSize == 0 )
+ continue;
+ if ( pCut->nSize == pCutNew->nSize )
+ {
+ if ( pCut->uHash == pCutNew->uHash )
+ {
+ for ( k = 0; k < pCutNew->nSize; k++ )
+ if ( pCut->pArray[k] != pCutNew->pArray[k] )
+ break;
+ if ( k == pCutNew->nSize )
+ return 1;
+ }
+ continue;
+ }
+ if ( pCut->nSize < pCutNew->nSize )
+ {
+ // skip the non-contained cuts
+ if ( (pCut->uHash & pCutNew->uHash) != pCut->uHash )
+ continue;
+ // check containment seriously
+ if ( Ivy_CutCheckDominance( pCut, pCutNew ) )
+ return 1;
+ continue;
+ }
+ // check potential containment of other cut
+
+ // skip the non-contained cuts
+ if ( (pCut->uHash & pCutNew->uHash) != pCutNew->uHash )
+ continue;
+ // check containment seriously
+ if ( Ivy_CutCheckDominance( pCutNew, pCut ) )
+ {
+ // remove the current cut
+ pCut->nSize = 0;
+ }
+ }
+ assert( pCutStore->nCuts < pCutStore->nCutsMax );
+ // add the cut
+ pCut = pCutStore->pCuts + pCutStore->nCuts++;
+ *pCut = *pCutNew;
+ return 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Compresses the cut representation.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_CutCompactAll( Ivy_Store_t * pCutStore )
+{
+ Ivy_Cut_t * pCut;
+ int i, k;
+ pCutStore->nCutsM = 0;
+ for ( i = k = 0; i < pCutStore->nCuts; i++ )
+ {
+ pCut = pCutStore->pCuts + i;
+ if ( pCut->nSize == 0 )
+ continue;
+ if ( pCut->nSize < pCut->nSizeMax )
+ pCutStore->nCutsM++;
+ pCutStore->pCuts[k++] = *pCut;
+ }
+ pCutStore->nCuts = k;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Print the cut.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_CutPrintForNode( Ivy_Cut_t * pCut )
+{
+ int i;
+ assert( pCut->nSize > 0 );
+ printf( "%d : {", pCut->nSize );
+ for ( i = 0; i < pCut->nSize; i++ )
+ printf( " %d", pCut->pArray[i] );
+ printf( " }\n" );
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_CutPrintForNodes( Ivy_Store_t * pCutStore )
+{
+ int i;
+ printf( "Node %d\n", pCutStore->pCuts[0].pArray[0] );
+ for ( i = 0; i < pCutStore->nCuts; i++ )
+ Ivy_CutPrintForNode( pCutStore->pCuts + i );
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int Ivy_CutReadLeaf( Ivy_Obj_t * pFanin )
+{
+ int nLats, iLeaf;
+ assert( !Ivy_IsComplement(pFanin) );
+ if ( !Ivy_ObjIsLatch(pFanin) )
+ return Ivy_LeafCreate( pFanin->Id, 0 );
+ iLeaf = Ivy_CutReadLeaf(Ivy_ObjFanin0(pFanin));
+ nLats = Ivy_LeafLat(iLeaf);
+ assert( nLats < IVY_LEAF_MASK );
+ return 1 + iLeaf;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Store_t * Ivy_CutComputeForNode( Ivy_Man_t * p, Ivy_Obj_t * pObj, int nLeaves )
+{
+ static Ivy_Store_t CutStore, * pCutStore = &CutStore;
+ Ivy_Cut_t CutNew, * pCutNew = &CutNew, * pCut;
+ Ivy_Man_t * pMan = p;
+ Ivy_Obj_t * pLeaf;
+ int i, k, Temp, nLats, iLeaf0, iLeaf1;
+
+ assert( nLeaves <= IVY_CUT_INPUT );
+
+ // start the structure
+ pCutStore->nCuts = 0;
+ pCutStore->nCutsMax = IVY_CUT_LIMIT;
+ // start the trivial cut
+ pCutNew->uHash = 0;
+ pCutNew->nSize = 1;
+ pCutNew->nSizeMax = nLeaves;
+ pCutNew->pArray[0] = Ivy_LeafCreate( pObj->Id, 0 );
+ pCutNew->uHash = Ivy_CutHashValue( pCutNew->pArray[0] );
+ // add the trivial cut
+ pCutStore->pCuts[pCutStore->nCuts++] = *pCutNew;
+ assert( pCutStore->nCuts == 1 );
+
+ // explore the cuts
+ for ( i = 0; i < pCutStore->nCuts; i++ )
+ {
+ // expand this cut
+ pCut = pCutStore->pCuts + i;
+ if ( pCut->nSize == 0 )
+ continue;
+ for ( k = 0; k < pCut->nSize; k++ )
+ {
+ pLeaf = Ivy_ManObj( p, Ivy_LeafId(pCut->pArray[k]) );
+ if ( Ivy_ObjIsCi(pLeaf) || Ivy_ObjIsConst1(pLeaf) )
+ continue;
+ assert( Ivy_ObjIsNode(pLeaf) );
+ nLats = Ivy_LeafLat(pCut->pArray[k]);
+
+ // get the fanins fanins
+ iLeaf0 = Ivy_CutReadLeaf( Ivy_ObjFanin0(pLeaf) );
+ iLeaf1 = Ivy_CutReadLeaf( Ivy_ObjFanin1(pLeaf) );
+ assert( nLats + Ivy_LeafLat(iLeaf0) < IVY_LEAF_MASK && nLats + Ivy_LeafLat(iLeaf1) < IVY_LEAF_MASK );
+ iLeaf0 = nLats + iLeaf0;
+ iLeaf1 = nLats + iLeaf1;
+ if ( !Ivy_CutPrescreen( pCut, iLeaf0, iLeaf1 ) )
+ continue;
+ // the given cut exist
+ if ( iLeaf0 > iLeaf1 )
+ Temp = iLeaf0, iLeaf0 = iLeaf1, iLeaf1 = Temp;
+ // create the new cut
+ if ( !Ivy_CutDeriveNew( pCut, pCutNew, pCut->pArray[k], iLeaf0, iLeaf1 ) )
+ continue;
+ // add the cut
+ Ivy_CutFindOrAddFilter( pCutStore, pCutNew );
+ if ( pCutStore->nCuts == IVY_CUT_LIMIT )
+ break;
+ }
+ if ( pCutStore->nCuts == IVY_CUT_LIMIT )
+ break;
+ }
+ if ( pCutStore->nCuts == IVY_CUT_LIMIT )
+ pCutStore->fSatur = 1;
+ else
+ pCutStore->fSatur = 0;
+// printf( "%d ", pCutStore->nCuts );
+ Ivy_CutCompactAll( pCutStore );
+// printf( "%d \n", pCutStore->nCuts );
+// Ivy_CutPrintForNodes( pCutStore );
+ return pCutStore;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_CutComputeAll( Ivy_Man_t * p, int nInputs )
+{
+ Ivy_Store_t * pStore;
+ Ivy_Obj_t * pObj;
+ int i, nCutsTotal, nCutsTotalM, nNodeTotal, nNodeOver;
+ int clk = clock();
+ if ( nInputs > IVY_CUT_INPUT )
+ {
+ printf( "Cannot compute cuts for more than %d inputs.\n", IVY_CUT_INPUT );
+ return;
+ }
+ nNodeTotal = nNodeOver = 0;
+ nCutsTotal = nCutsTotalM = -Ivy_ManNodeNum(p);
+ Ivy_ManForEachObj( p, pObj, i )
+ {
+ if ( !Ivy_ObjIsNode(pObj) )
+ continue;
+ pStore = Ivy_CutComputeForNode( p, pObj, nInputs );
+ nCutsTotal += pStore->nCuts;
+ nCutsTotalM += pStore->nCutsM;
+ nNodeOver += pStore->fSatur;
+ nNodeTotal++;
+ }
+ printf( "All = %6d. Minus = %6d. Triv = %6d. Node = %6d. Satur = %6d. ",
+ nCutsTotal, nCutsTotalM, Ivy_ManPiNum(p) + Ivy_ManNodeNum(p), nNodeTotal, nNodeOver );
+ PRT( "Time", clock() - clk );
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/ivy/ivyShow.c b/src/aig/ivy/ivyShow.c
new file mode 100644
index 00000000..cd726e43
--- /dev/null
+++ b/src/aig/ivy/ivyShow.c
@@ -0,0 +1,338 @@
+/**CFile****************************************************************
+
+ FileName [ivyShow.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [And-Inverter Graph package.]
+
+ Synopsis [Visualization of HAIG.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - May 11, 2006.]
+
+ Revision [$Id: ivyShow.c,v 1.00 2006/05/11 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "ivy.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+static void Ivy_WriteDotAig( Ivy_Man_t * pMan, char * pFileName, int fHaig, Vec_Ptr_t * vBold );
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_ManShow( Ivy_Man_t * pMan, int fHaig, Vec_Ptr_t * vBold )
+{
+ extern void Abc_ShowFile( char * FileNameDot );
+ static Counter = 0;
+ char FileNameDot[200];
+ FILE * pFile;
+ // create the file name
+// Ivy_ShowGetFileName( pMan->pName, FileNameDot );
+ sprintf( FileNameDot, "temp%02d.dot", Counter++ );
+ // check that the file can be opened
+ if ( (pFile = fopen( FileNameDot, "w" )) == NULL )
+ {
+ fprintf( stdout, "Cannot open the intermediate file \"%s\".\n", FileNameDot );
+ return;
+ }
+ fclose( pFile );
+ // generate the file
+ Ivy_WriteDotAig( pMan, FileNameDot, fHaig, vBold );
+ // visualize the file
+ Abc_ShowFile( FileNameDot );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Writes the graph structure of AIG for DOT.]
+
+ Description [Useful for graph visualization using tools such as GraphViz:
+ http://www.graphviz.org/]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_WriteDotAig( Ivy_Man_t * pMan, char * pFileName, int fHaig, Vec_Ptr_t * vBold )
+{
+ FILE * pFile;
+ Ivy_Obj_t * pNode, * pTemp, * pPrev;
+ int LevelMax, Level, i;
+
+ if ( Ivy_ManNodeNum(pMan) > 200 )
+ {
+ fprintf( stdout, "Cannot visualize AIG with more than 200 nodes.\n" );
+ return;
+ }
+ if ( (pFile = fopen( pFileName, "w" )) == NULL )
+ {
+ fprintf( stdout, "Cannot open the intermediate file \"%s\".\n", pFileName );
+ return;
+ }
+
+ // mark the nodes
+ if ( vBold )
+ Vec_PtrForEachEntry( vBold, pNode, i )
+ pNode->fMarkB = 1;
+
+ // compute levels
+ LevelMax = 1 + Ivy_ManSetLevels( pMan, fHaig );
+
+ // write the DOT header
+ fprintf( pFile, "# %s\n", "AIG structure generated by IVY package" );
+ fprintf( pFile, "\n" );
+ fprintf( pFile, "digraph AIG {\n" );
+ fprintf( pFile, "size = \"7.5,10\";\n" );
+// fprintf( pFile, "ranksep = 0.5;\n" );
+// fprintf( pFile, "nodesep = 0.5;\n" );
+ fprintf( pFile, "center = true;\n" );
+// fprintf( pFile, "orientation = landscape;\n" );
+// fprintf( pFile, "edge [fontsize = 10];\n" );
+// fprintf( pFile, "edge [dir = none];\n" );
+ fprintf( pFile, "edge [dir = back];\n" );
+ fprintf( pFile, "\n" );
+
+ // labels on the left of the picture
+ fprintf( pFile, "{\n" );
+ fprintf( pFile, " node [shape = plaintext];\n" );
+ fprintf( pFile, " edge [style = invis];\n" );
+ fprintf( pFile, " LevelTitle1 [label=\"\"];\n" );
+ fprintf( pFile, " LevelTitle2 [label=\"\"];\n" );
+ // generate node names with labels
+ for ( Level = LevelMax; Level >= 0; Level-- )
+ {
+ // the visible node name
+ fprintf( pFile, " Level%d", Level );
+ fprintf( pFile, " [label = " );
+ // label name
+ fprintf( pFile, "\"" );
+ fprintf( pFile, "\"" );
+ fprintf( pFile, "];\n" );
+ }
+
+ // genetate the sequence of visible/invisible nodes to mark levels
+ fprintf( pFile, " LevelTitle1 -> LevelTitle2 ->" );
+ for ( Level = LevelMax; Level >= 0; Level-- )
+ {
+ // the visible node name
+ fprintf( pFile, " Level%d", Level );
+ // the connector
+ if ( Level != 0 )
+ fprintf( pFile, " ->" );
+ else
+ fprintf( pFile, ";" );
+ }
+ fprintf( pFile, "\n" );
+ fprintf( pFile, "}" );
+ fprintf( pFile, "\n" );
+ fprintf( pFile, "\n" );
+
+ // generate title box on top
+ fprintf( pFile, "{\n" );
+ fprintf( pFile, " rank = same;\n" );
+ fprintf( pFile, " LevelTitle1;\n" );
+ fprintf( pFile, " title1 [shape=plaintext,\n" );
+ fprintf( pFile, " fontsize=20,\n" );
+ fprintf( pFile, " fontname = \"Times-Roman\",\n" );
+ fprintf( pFile, " label=\"" );
+ fprintf( pFile, "%s", "AIG structure visualized by ABC" );
+ fprintf( pFile, "\\n" );
+ fprintf( pFile, "Benchmark \\\"%s\\\". ", "aig" );
+ fprintf( pFile, "Time was %s. ", Extra_TimeStamp() );
+ fprintf( pFile, "\"\n" );
+ fprintf( pFile, " ];\n" );
+ fprintf( pFile, "}" );
+ fprintf( pFile, "\n" );
+ fprintf( pFile, "\n" );
+
+ // generate statistics box
+ fprintf( pFile, "{\n" );
+ fprintf( pFile, " rank = same;\n" );
+ fprintf( pFile, " LevelTitle2;\n" );
+ fprintf( pFile, " title2 [shape=plaintext,\n" );
+ fprintf( pFile, " fontsize=18,\n" );
+ fprintf( pFile, " fontname = \"Times-Roman\",\n" );
+ fprintf( pFile, " label=\"" );
+ fprintf( pFile, "The set contains %d logic nodes and spans %d levels.", Ivy_ManNodeNum(pMan), LevelMax );
+ fprintf( pFile, "\\n" );
+ fprintf( pFile, "\"\n" );
+ fprintf( pFile, " ];\n" );
+ fprintf( pFile, "}" );
+ fprintf( pFile, "\n" );
+ fprintf( pFile, "\n" );
+
+ // generate the COs
+ fprintf( pFile, "{\n" );
+ fprintf( pFile, " rank = same;\n" );
+ // the labeling node of this level
+ fprintf( pFile, " Level%d;\n", LevelMax );
+ // generate the CO nodes
+ Ivy_ManForEachCo( pMan, pNode, i )
+ {
+ if ( fHaig || pNode->pEquiv == NULL )
+ fprintf( pFile, " Node%d%s [label = \"%d%s\"", pNode->Id,
+ (Ivy_ObjIsLatch(pNode)? "_in":""), pNode->Id, (Ivy_ObjIsLatch(pNode)? "_in":"") );
+ else
+ fprintf( pFile, " Node%d%s [label = \"%d%s(%d%s)\"", pNode->Id,
+ (Ivy_ObjIsLatch(pNode)? "_in":""), pNode->Id, (Ivy_ObjIsLatch(pNode)? "_in":""),
+ Ivy_Regular(pNode->pEquiv)->Id, Ivy_IsComplement(pNode->pEquiv)? "\'":"" );
+ fprintf( pFile, ", shape = %s", (Ivy_ObjIsLatch(pNode)? "box":"invtriangle") );
+ fprintf( pFile, ", color = coral, fillcolor = coral" );
+ fprintf( pFile, "];\n" );
+ }
+ fprintf( pFile, "}" );
+ fprintf( pFile, "\n" );
+ fprintf( pFile, "\n" );
+
+ // generate nodes of each rank
+ for ( Level = LevelMax - 1; Level > 0; Level-- )
+ {
+ fprintf( pFile, "{\n" );
+ fprintf( pFile, " rank = same;\n" );
+ // the labeling node of this level
+ fprintf( pFile, " Level%d;\n", Level );
+ Ivy_ManForEachObj( pMan, pNode, i )
+ {
+ if ( (int)pNode->Level != Level )
+ continue;
+ if ( fHaig || pNode->pEquiv == NULL )
+ fprintf( pFile, " Node%d [label = \"%d\"", pNode->Id, pNode->Id );
+ else
+ fprintf( pFile, " Node%d [label = \"%d(%d%s)\"", pNode->Id, pNode->Id,
+ Ivy_Regular(pNode->pEquiv)->Id, Ivy_IsComplement(pNode->pEquiv)? "\'":"" );
+ fprintf( pFile, ", shape = ellipse" );
+ if ( vBold && pNode->fMarkB )
+ fprintf( pFile, ", style = filled" );
+ fprintf( pFile, "];\n" );
+ }
+ fprintf( pFile, "}" );
+ fprintf( pFile, "\n" );
+ fprintf( pFile, "\n" );
+ }
+
+ // generate the CI nodes
+ fprintf( pFile, "{\n" );
+ fprintf( pFile, " rank = same;\n" );
+ // the labeling node of this level
+ fprintf( pFile, " Level%d;\n", 0 );
+ // generate constant node
+ if ( Ivy_ObjRefs(Ivy_ManConst1(pMan)) > 0 )
+ {
+ pNode = Ivy_ManConst1(pMan);
+ // check if the costant node is present
+ fprintf( pFile, " Node%d [label = \"Const1\"", pNode->Id );
+ fprintf( pFile, ", shape = ellipse" );
+ fprintf( pFile, ", color = coral, fillcolor = coral" );
+ fprintf( pFile, "];\n" );
+ }
+ // generate the CI nodes
+ Ivy_ManForEachCi( pMan, pNode, i )
+ {
+ if ( fHaig || pNode->pEquiv == NULL )
+ fprintf( pFile, " Node%d%s [label = \"%d%s\"", pNode->Id,
+ (Ivy_ObjIsLatch(pNode)? "_out":""), pNode->Id, (Ivy_ObjIsLatch(pNode)? "_out":"") );
+ else
+ fprintf( pFile, " Node%d%s [label = \"%d%s(%d%s)\"", pNode->Id,
+ (Ivy_ObjIsLatch(pNode)? "_out":""), pNode->Id, (Ivy_ObjIsLatch(pNode)? "_out":""),
+ Ivy_Regular(pNode->pEquiv)->Id, Ivy_IsComplement(pNode->pEquiv)? "\'":"" );
+ fprintf( pFile, ", shape = %s", (Ivy_ObjIsLatch(pNode)? "box":"triangle") );
+ fprintf( pFile, ", color = coral, fillcolor = coral" );
+ fprintf( pFile, "];\n" );
+ }
+ fprintf( pFile, "}" );
+ fprintf( pFile, "\n" );
+ fprintf( pFile, "\n" );
+
+ // generate invisible edges from the square down
+ fprintf( pFile, "title1 -> title2 [style = invis];\n" );
+ Ivy_ManForEachCo( pMan, pNode, i )
+ fprintf( pFile, "title2 -> Node%d%s [style = invis];\n", pNode->Id, (Ivy_ObjIsLatch(pNode)? "_in":"") );
+
+ // generate edges
+ Ivy_ManForEachObj( pMan, pNode, i )
+ {
+ if ( !Ivy_ObjIsNode(pNode) && !Ivy_ObjIsCo(pNode) && !Ivy_ObjIsBuf(pNode) )
+ continue;
+ // generate the edge from this node to the next
+ fprintf( pFile, "Node%d%s", pNode->Id, (Ivy_ObjIsLatch(pNode)? "_in":"") );
+ fprintf( pFile, " -> " );
+ fprintf( pFile, "Node%d%s", Ivy_ObjFaninId0(pNode), (Ivy_ObjIsLatch(Ivy_ObjFanin0(pNode))? "_out":"") );
+ fprintf( pFile, " [" );
+ fprintf( pFile, "style = %s", Ivy_ObjFaninC0(pNode)? "dotted" : "bold" );
+// if ( Ivy_NtkIsSeq(pNode->pMan) && Seq_ObjFaninL0(pNode) > 0 )
+// fprintf( pFile, ", label = \"%s\"", Seq_ObjFaninGetInitPrintable(pNode,0) );
+ fprintf( pFile, "]" );
+ fprintf( pFile, ";\n" );
+ if ( !Ivy_ObjIsNode(pNode) )
+ continue;
+ // generate the edge from this node to the next
+ fprintf( pFile, "Node%d", pNode->Id );
+ fprintf( pFile, " -> " );
+ fprintf( pFile, "Node%d%s", Ivy_ObjFaninId1(pNode), (Ivy_ObjIsLatch(Ivy_ObjFanin1(pNode))? "_out":"") );
+ fprintf( pFile, " [" );
+ fprintf( pFile, "style = %s", Ivy_ObjFaninC1(pNode)? "dotted" : "bold" );
+// if ( Ivy_NtkIsSeq(pNode->pMan) && Seq_ObjFaninL1(pNode) > 0 )
+// fprintf( pFile, ", label = \"%s\"", Seq_ObjFaninGetInitPrintable(pNode,1) );
+ fprintf( pFile, "]" );
+ fprintf( pFile, ";\n" );
+ // generate the edges between the equivalent nodes
+ if ( fHaig && pNode->pEquiv && Ivy_ObjRefs(pNode) > 0 )
+ {
+ pPrev = pNode;
+ for ( pTemp = pNode->pEquiv; pTemp != pNode; pTemp = Ivy_Regular(pTemp->pEquiv) )
+ {
+ fprintf( pFile, "Node%d", pPrev->Id );
+ fprintf( pFile, " -> " );
+ fprintf( pFile, "Node%d", pTemp->Id );
+ fprintf( pFile, " [style = %s]", Ivy_IsComplement(pTemp->pEquiv)? "dotted" : "bold" );
+ fprintf( pFile, ";\n" );
+ pPrev = pTemp;
+ }
+ // connect the last node with the first
+ fprintf( pFile, "Node%d", pPrev->Id );
+ fprintf( pFile, " -> " );
+ fprintf( pFile, "Node%d", pNode->Id );
+ fprintf( pFile, " [style = %s]", Ivy_IsComplement(pPrev->pEquiv)? "dotted" : "bold" );
+ fprintf( pFile, ";\n" );
+ }
+ }
+
+ fprintf( pFile, "}" );
+ fprintf( pFile, "\n" );
+ fprintf( pFile, "\n" );
+ fclose( pFile );
+
+ // unmark nodes
+ if ( vBold )
+ Vec_PtrForEachEntry( vBold, pNode, i )
+ pNode->fMarkB = 0;
+}
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/ivy/ivyTable.c b/src/aig/ivy/ivyTable.c
new file mode 100644
index 00000000..2ac0ae49
--- /dev/null
+++ b/src/aig/ivy/ivyTable.c
@@ -0,0 +1,301 @@
+/**CFile****************************************************************
+
+ FileName [ivyTable.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [And-Inverter Graph package.]
+
+ Synopsis [Structural hashing table.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - May 11, 2006. ]
+
+ Revision [$Id: ivyTable.c,v 1.00 2006/05/11 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "ivy.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+// hashing the node
+static unsigned Ivy_Hash( Ivy_Obj_t * pObj, int TableSize )
+{
+ unsigned Key = Ivy_ObjIsExor(pObj) * 1699;
+ Key ^= Ivy_ObjFaninId0(pObj) * 7937;
+ Key ^= Ivy_ObjFaninId1(pObj) * 2971;
+ Key ^= Ivy_ObjFaninC0(pObj) * 911;
+ Key ^= Ivy_ObjFaninC1(pObj) * 353;
+ Key ^= Ivy_ObjInit(pObj) * 911;
+ return Key % TableSize;
+}
+
+// returns the place where this node is stored (or should be stored)
+static int * Ivy_TableFind( Ivy_Man_t * p, Ivy_Obj_t * pObj )
+{
+ int i;
+ assert( Ivy_ObjIsHash(pObj) );
+ for ( i = Ivy_Hash(pObj, p->nTableSize); p->pTable[i]; i = (i+1) % p->nTableSize )
+ if ( p->pTable[i] == pObj->Id )
+ break;
+ return p->pTable + i;
+}
+
+static void Ivy_TableResize( Ivy_Man_t * p );
+static unsigned int Cudd_PrimeAig( unsigned int p );
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Checks if node with the given attributes is in the hash table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Obj_t * Ivy_TableLookup( Ivy_Man_t * p, Ivy_Obj_t * pObj )
+{
+ Ivy_Obj_t * pEntry;
+ int i;
+ assert( !Ivy_IsComplement(pObj) );
+ if ( !Ivy_ObjIsHash(pObj) )
+ return NULL;
+ assert( Ivy_ObjIsLatch(pObj) || Ivy_ObjFaninId0(pObj) > 0 );
+ assert( Ivy_ObjFaninId1(pObj) == 0 || Ivy_ObjFaninId0(pObj) < Ivy_ObjFaninId1(pObj) );
+ if ( Ivy_ObjFanin0(pObj)->nRefs == 0 || (Ivy_ObjChild1(pObj) && Ivy_ObjFanin1(pObj)->nRefs == 0) )
+ return NULL;
+ for ( i = Ivy_Hash(pObj, p->nTableSize); p->pTable[i]; i = (i+1) % p->nTableSize )
+ {
+ pEntry = Ivy_ManObj( p, p->pTable[i] );
+ if ( Ivy_ObjChild0(pEntry) == Ivy_ObjChild0(pObj) &&
+ Ivy_ObjChild1(pEntry) == Ivy_ObjChild1(pObj) &&
+ Ivy_ObjInit(pEntry) == Ivy_ObjInit(pObj) &&
+ Ivy_ObjType(pEntry) == Ivy_ObjType(pObj) )
+ return pEntry;
+ }
+ return NULL;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Adds the node to the hash table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_TableInsert( Ivy_Man_t * p, Ivy_Obj_t * pObj )
+{
+ int * pPlace;
+ assert( !Ivy_IsComplement(pObj) );
+ if ( !Ivy_ObjIsHash(pObj) )
+ return;
+ if ( (pObj->Id & 63) == 0 )
+ {
+ if ( p->nTableSize < 2 * Ivy_ManHashObjNum(p) )
+ Ivy_TableResize( p );
+ }
+ pPlace = Ivy_TableFind( p, pObj );
+ assert( *pPlace == 0 );
+ *pPlace = pObj->Id;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Deletes the node from the hash table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_TableDelete( Ivy_Man_t * p, Ivy_Obj_t * pObj )
+{
+ Ivy_Obj_t * pEntry;
+ int i, * pPlace;
+ assert( !Ivy_IsComplement(pObj) );
+ if ( !Ivy_ObjIsHash(pObj) )
+ return;
+ pPlace = Ivy_TableFind( p, pObj );
+ assert( *pPlace == pObj->Id ); // node should be in the table
+ *pPlace = 0;
+ // rehash the adjacent entries
+ i = pPlace - p->pTable;
+ for ( i = (i+1) % p->nTableSize; p->pTable[i]; i = (i+1) % p->nTableSize )
+ {
+ pEntry = Ivy_ManObj( p, p->pTable[i] );
+ p->pTable[i] = 0;
+ Ivy_TableInsert( p, pEntry );
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Updates the table to point to the new node.]
+
+ Description [If the old node (pObj) is in the table, updates the table
+ to point to an object with different ID (ObjIdNew). The table should
+ not contain an object with ObjIdNew (this is currently not checked).]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_TableUpdate( Ivy_Man_t * p, Ivy_Obj_t * pObj, int ObjIdNew )
+{
+ int * pPlace;
+ assert( !Ivy_IsComplement(pObj) );
+ if ( !Ivy_ObjIsHash(pObj) )
+ return;
+ pPlace = Ivy_TableFind( p, pObj );
+ assert( *pPlace == pObj->Id ); // node should be in the table
+ *pPlace = ObjIdNew;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Count the number of nodes in the table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_TableCountEntries( Ivy_Man_t * p )
+{
+ int i, Counter = 0;
+ for ( i = 0; i < p->nTableSize; i++ )
+ Counter += (p->pTable[i] != 0);
+ return Counter;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Resizes the table.]
+
+ Description [Typically this procedure should not be called.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_TableResize( Ivy_Man_t * p )
+{
+ int * pTableOld, * pPlace;
+ int nTableSizeOld, Counter, nEntries, e, clk;
+clk = clock();
+ // save the old table
+ pTableOld = p->pTable;
+ nTableSizeOld = p->nTableSize;
+ // get the new table
+ p->nTableSize = Cudd_PrimeAig( 5 * Ivy_ManHashObjNum(p) );
+ p->pTable = ALLOC( int, p->nTableSize );
+ memset( p->pTable, 0, sizeof(int) * p->nTableSize );
+ // rehash the entries from the old table
+ Counter = 0;
+ for ( e = 0; e < nTableSizeOld; e++ )
+ {
+ if ( pTableOld[e] == 0 )
+ continue;
+ Counter++;
+ // get the place where this entry goes in the table table
+ pPlace = Ivy_TableFind( p, Ivy_ManObj(p, pTableOld[e]) );
+ assert( *pPlace == 0 ); // should not be in the table
+ *pPlace = pTableOld[e];
+ }
+ nEntries = Ivy_ManHashObjNum(p);
+// assert( Counter == nEntries );
+// printf( "Increasing the structural table size from %6d to %6d. ", nTableSizeOld, p->nTableSize );
+// PRT( "Time", clock() - clk );
+ // replace the table and the parameters
+ free( pTableOld );
+}
+
+/**Function********************************************************************
+
+ Synopsis [Profiles the hash table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+******************************************************************************/
+void Ivy_TableProfile( Ivy_Man_t * p )
+{
+ int i, Counter = 0;
+ for ( i = 0; i < p->nTableSize; i++ )
+ {
+ if ( p->pTable[i] )
+ Counter++;
+ else if ( Counter )
+ {
+ printf( "%d ", Counter );
+ Counter = 0;
+ }
+ }
+}
+
+/**Function********************************************************************
+
+ Synopsis [Returns the next prime &gt;= p.]
+
+ Description [Copied from CUDD, for stand-aloneness.]
+
+ SideEffects [None]
+
+ SeeAlso []
+
+******************************************************************************/
+unsigned int Cudd_PrimeAig( unsigned int p)
+{
+ int i,pn;
+
+ p--;
+ do {
+ p++;
+ if (p&1) {
+ pn = 1;
+ i = 3;
+ while ((unsigned) (i * i) <= p) {
+ if (p % i == 0) {
+ pn = 0;
+ break;
+ }
+ i += 2;
+ }
+ } else {
+ pn = 0;
+ }
+ } while (!pn);
+ return(p);
+
+} /* end of Cudd_Prime */
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/ivy/ivyUtil.c b/src/aig/ivy/ivyUtil.c
new file mode 100644
index 00000000..ab62a276
--- /dev/null
+++ b/src/aig/ivy/ivyUtil.c
@@ -0,0 +1,818 @@
+/**CFile****************************************************************
+
+ FileName [ivyUtil.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [And-Inverter Graph package.]
+
+ Synopsis [Various procedures.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - May 11, 2006.]
+
+ Revision [$Id: ivyUtil.c,v 1.00 2006/05/11 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "ivy.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Increments the current traversal ID of the network.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_ManIncrementTravId( Ivy_Man_t * p )
+{
+ if ( p->nTravIds >= (1<<30)-1 - 1000 )
+ Ivy_ManCleanTravId( p );
+ p->nTravIds++;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Sets the DFS ordering of the nodes.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_ManCleanTravId( Ivy_Man_t * p )
+{
+ Ivy_Obj_t * pObj;
+ int i;
+ p->nTravIds = 1;
+ Ivy_ManForEachObj( p, pObj, i )
+ pObj->TravId = 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes truth table of the cut.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_ManCollectCut_rec( Ivy_Man_t * p, Ivy_Obj_t * pNode, Vec_Int_t * vNodes )
+{
+ if ( pNode->fMarkA )
+ return;
+ pNode->fMarkA = 1;
+ assert( Ivy_ObjIsAnd(pNode) || Ivy_ObjIsExor(pNode) );
+ Ivy_ManCollectCut_rec( p, Ivy_ObjFanin0(pNode), vNodes );
+ Ivy_ManCollectCut_rec( p, Ivy_ObjFanin1(pNode), vNodes );
+ Vec_IntPush( vNodes, pNode->Id );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes truth table of the cut.]
+
+ Description [Does not modify the array of leaves. Uses array vTruth to store
+ temporary truth tables. The returned pointer should be used immediately.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_ManCollectCut( Ivy_Man_t * p, Ivy_Obj_t * pRoot, Vec_Int_t * vLeaves, Vec_Int_t * vNodes )
+{
+ int i, Leaf;
+ // collect and mark the leaves
+ Vec_IntClear( vNodes );
+ Vec_IntForEachEntry( vLeaves, Leaf, i )
+ {
+ Vec_IntPush( vNodes, Leaf );
+ Ivy_ManObj(p, Leaf)->fMarkA = 1;
+ }
+ // collect and mark the nodes
+ Ivy_ManCollectCut_rec( p, pRoot, vNodes );
+ // clean the nodes
+ Vec_IntForEachEntry( vNodes, Leaf, i )
+ Ivy_ManObj(p, Leaf)->fMarkA = 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns the pointer to the truth table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+unsigned * Ivy_ObjGetTruthStore( int ObjNum, Vec_Int_t * vTruth )
+{
+ return ((unsigned *)Vec_IntArray(vTruth)) + 8 * ObjNum;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes truth table of the cut.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_ManCutTruthOne( Ivy_Man_t * p, Ivy_Obj_t * pNode, Vec_Int_t * vTruth, int nWords )
+{
+ unsigned * pTruth, * pTruth0, * pTruth1;
+ int i;
+ pTruth = Ivy_ObjGetTruthStore( pNode->TravId, vTruth );
+ pTruth0 = Ivy_ObjGetTruthStore( Ivy_ObjFanin0(pNode)->TravId, vTruth );
+ pTruth1 = Ivy_ObjGetTruthStore( Ivy_ObjFanin1(pNode)->TravId, vTruth );
+ if ( Ivy_ObjIsExor(pNode) )
+ for ( i = 0; i < nWords; i++ )
+ pTruth[i] = pTruth0[i] ^ pTruth1[i];
+ else if ( !Ivy_ObjFaninC0(pNode) && !Ivy_ObjFaninC1(pNode) )
+ for ( i = 0; i < nWords; i++ )
+ pTruth[i] = pTruth0[i] & pTruth1[i];
+ else if ( !Ivy_ObjFaninC0(pNode) && Ivy_ObjFaninC1(pNode) )
+ for ( i = 0; i < nWords; i++ )
+ pTruth[i] = pTruth0[i] & ~pTruth1[i];
+ else if ( Ivy_ObjFaninC0(pNode) && !Ivy_ObjFaninC1(pNode) )
+ for ( i = 0; i < nWords; i++ )
+ pTruth[i] = ~pTruth0[i] & pTruth1[i];
+ else // if ( Ivy_ObjFaninC0(pNode) && Ivy_ObjFaninC1(pNode) )
+ for ( i = 0; i < nWords; i++ )
+ pTruth[i] = ~pTruth0[i] & ~pTruth1[i];
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes truth table of the cut.]
+
+ Description [Does not modify the array of leaves. Uses array vTruth to store
+ temporary truth tables. The returned pointer should be used immediately.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+unsigned * Ivy_ManCutTruth( Ivy_Man_t * p, Ivy_Obj_t * pRoot, Vec_Int_t * vLeaves, Vec_Int_t * vNodes, Vec_Int_t * vTruth )
+{
+ static unsigned uTruths[8][8] = { // elementary truth tables
+ { 0xAAAAAAAA,0xAAAAAAAA,0xAAAAAAAA,0xAAAAAAAA,0xAAAAAAAA,0xAAAAAAAA,0xAAAAAAAA,0xAAAAAAAA },
+ { 0xCCCCCCCC,0xCCCCCCCC,0xCCCCCCCC,0xCCCCCCCC,0xCCCCCCCC,0xCCCCCCCC,0xCCCCCCCC,0xCCCCCCCC },
+ { 0xF0F0F0F0,0xF0F0F0F0,0xF0F0F0F0,0xF0F0F0F0,0xF0F0F0F0,0xF0F0F0F0,0xF0F0F0F0,0xF0F0F0F0 },
+ { 0xFF00FF00,0xFF00FF00,0xFF00FF00,0xFF00FF00,0xFF00FF00,0xFF00FF00,0xFF00FF00,0xFF00FF00 },
+ { 0xFFFF0000,0xFFFF0000,0xFFFF0000,0xFFFF0000,0xFFFF0000,0xFFFF0000,0xFFFF0000,0xFFFF0000 },
+ { 0x00000000,0xFFFFFFFF,0x00000000,0xFFFFFFFF,0x00000000,0xFFFFFFFF,0x00000000,0xFFFFFFFF },
+ { 0x00000000,0x00000000,0xFFFFFFFF,0xFFFFFFFF,0x00000000,0x00000000,0xFFFFFFFF,0xFFFFFFFF },
+ { 0x00000000,0x00000000,0x00000000,0x00000000,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF }
+ };
+ int i, Leaf;
+ // collect the cut
+ Ivy_ManCollectCut( p, pRoot, vLeaves, vNodes );
+ // set the node numbers
+ Vec_IntForEachEntry( vNodes, Leaf, i )
+ Ivy_ManObj(p, Leaf)->TravId = i;
+ // alloc enough memory
+ Vec_IntClear( vTruth );
+ Vec_IntGrow( vTruth, 8 * Vec_IntSize(vNodes) );
+ // set the elementary truth tables
+ Vec_IntForEachEntry( vLeaves, Leaf, i )
+ memcpy( Ivy_ObjGetTruthStore(i, vTruth), uTruths[i], 8 * sizeof(unsigned) );
+ // compute truths for other nodes
+ Vec_IntForEachEntryStart( vNodes, Leaf, i, Vec_IntSize(vLeaves) )
+ Ivy_ManCutTruthOne( p, Ivy_ManObj(p, Leaf), vTruth, 8 );
+ return Ivy_ObjGetTruthStore( pRoot->TravId, vTruth );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Collect the latches.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Vec_Int_t * Ivy_ManLatches( Ivy_Man_t * p )
+{
+ Vec_Int_t * vLatches;
+ Ivy_Obj_t * pObj;
+ int i;
+ vLatches = Vec_IntAlloc( Ivy_ManLatchNum(p) );
+ Ivy_ManForEachLatch( p, pObj, i )
+ Vec_IntPush( vLatches, pObj->Id );
+ return vLatches;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Collect the latches.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_ManLevels( Ivy_Man_t * p )
+{
+ Ivy_Obj_t * pObj;
+ int i, LevelMax = 0;
+ Ivy_ManForEachPo( p, pObj, i )
+ LevelMax = IVY_MAX( LevelMax, (int)Ivy_ObjFanin0(pObj)->Level );
+ return LevelMax;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Collect the latches.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_ManResetLevels_rec( Ivy_Obj_t * pObj )
+{
+ if ( pObj->Level || Ivy_ObjIsCi(pObj) || Ivy_ObjIsConst1(pObj) )
+ return pObj->Level;
+ if ( Ivy_ObjIsBuf(pObj) )
+ return pObj->Level = Ivy_ManResetLevels_rec( Ivy_ObjFanin0(pObj) );
+ assert( Ivy_ObjIsNode(pObj) );
+ Ivy_ManResetLevels_rec( Ivy_ObjFanin0(pObj) );
+ Ivy_ManResetLevels_rec( Ivy_ObjFanin1(pObj) );
+ return pObj->Level = Ivy_ObjLevelNew( pObj );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Collect the latches.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_ManResetLevels( Ivy_Man_t * p )
+{
+ Ivy_Obj_t * pObj;
+ int i;
+ Ivy_ManForEachObj( p, pObj, i )
+ pObj->Level = 0;
+ Ivy_ManForEachCo( p, pObj, i )
+ Ivy_ManResetLevels_rec( Ivy_ObjFanin0(pObj) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [References/references the node and returns MFFC size.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_ObjRefDeref( Ivy_Man_t * p, Ivy_Obj_t * pNode, int fReference, int fLabel )
+{
+ Ivy_Obj_t * pNode0, * pNode1;
+ int Counter;
+ // label visited nodes
+ if ( fLabel )
+ Ivy_ObjSetTravIdCurrent( p, pNode );
+ // skip the CI
+ if ( Ivy_ObjIsPi(pNode) )
+ return 0;
+ assert( Ivy_ObjIsNode(pNode) || Ivy_ObjIsBuf(pNode) || Ivy_ObjIsLatch(pNode) );
+ // process the internal node
+ pNode0 = Ivy_ObjFanin0(pNode);
+ pNode1 = Ivy_ObjFanin1(pNode);
+ Counter = Ivy_ObjIsNode(pNode);
+ if ( fReference )
+ {
+ if ( pNode0->nRefs++ == 0 )
+ Counter += Ivy_ObjRefDeref( p, pNode0, fReference, fLabel );
+ if ( pNode1 && pNode1->nRefs++ == 0 )
+ Counter += Ivy_ObjRefDeref( p, pNode1, fReference, fLabel );
+ }
+ else
+ {
+ assert( pNode0->nRefs > 0 );
+ assert( pNode1 == NULL || pNode1->nRefs > 0 );
+ if ( --pNode0->nRefs == 0 )
+ Counter += Ivy_ObjRefDeref( p, pNode0, fReference, fLabel );
+ if ( pNode1 && --pNode1->nRefs == 0 )
+ Counter += Ivy_ObjRefDeref( p, pNode1, fReference, fLabel );
+ }
+ return Counter;
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Labels MFFC with the current label.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_ObjMffcLabel( Ivy_Man_t * p, Ivy_Obj_t * pNode )
+{
+ int nConeSize1, nConeSize2;
+ assert( !Ivy_IsComplement( pNode ) );
+ assert( Ivy_ObjIsNode( pNode ) );
+ nConeSize1 = Ivy_ObjRefDeref( p, pNode, 0, 1 ); // dereference
+ nConeSize2 = Ivy_ObjRefDeref( p, pNode, 1, 0 ); // reference
+ assert( nConeSize1 == nConeSize2 );
+ assert( nConeSize1 > 0 );
+ return nConeSize1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Recursively updates fanout levels.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_ObjUpdateLevel_rec( Ivy_Man_t * p, Ivy_Obj_t * pObj )
+{
+ Ivy_Obj_t * pFanout;
+ Vec_Ptr_t * vFanouts;
+ int i, LevelNew;
+ assert( p->fFanout );
+ assert( Ivy_ObjIsNode(pObj) );
+ vFanouts = Vec_PtrAlloc( 10 );
+ Ivy_ObjForEachFanout( p, pObj, vFanouts, pFanout, i )
+ {
+ if ( Ivy_ObjIsCo(pFanout) )
+ {
+// assert( (int)Ivy_ObjFanin0(pFanout)->Level <= p->nLevelMax );
+ continue;
+ }
+ LevelNew = Ivy_ObjLevelNew( pFanout );
+ if ( (int)pFanout->Level == LevelNew )
+ continue;
+ pFanout->Level = LevelNew;
+ Ivy_ObjUpdateLevel_rec( p, pFanout );
+ }
+ Vec_PtrFree( vFanouts );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Compute the new required level.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_ObjLevelRNew( Ivy_Man_t * p, Ivy_Obj_t * pObj )
+{
+ Ivy_Obj_t * pFanout;
+ Vec_Ptr_t * vFanouts;
+ int i, Required, LevelNew = 1000000;
+ assert( p->fFanout && p->vRequired );
+ vFanouts = Vec_PtrAlloc( 10 );
+ Ivy_ObjForEachFanout( p, pObj, vFanouts, pFanout, i )
+ {
+ Required = Vec_IntEntry(p->vRequired, pFanout->Id);
+ LevelNew = IVY_MIN( LevelNew, Required );
+ }
+ Vec_PtrFree( vFanouts );
+ return LevelNew - 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Recursively updates fanout levels.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_ObjUpdateLevelR_rec( Ivy_Man_t * p, Ivy_Obj_t * pObj, int ReqNew )
+{
+ Ivy_Obj_t * pFanin;
+ if ( Ivy_ObjIsConst1(pObj) || Ivy_ObjIsCi(pObj) )
+ return;
+ assert( Ivy_ObjIsNode(pObj) || Ivy_ObjIsBuf(pObj) );
+ // process the first fanin
+ pFanin = Ivy_ObjFanin0(pObj);
+ if ( Vec_IntEntry(p->vRequired, pFanin->Id) > ReqNew - 1 )
+ {
+ Vec_IntWriteEntry( p->vRequired, pFanin->Id, ReqNew - 1 );
+ Ivy_ObjUpdateLevelR_rec( p, pFanin, ReqNew - 1 );
+ }
+ if ( Ivy_ObjIsBuf(pObj) )
+ return;
+ // process the second fanin
+ pFanin = Ivy_ObjFanin1(pObj);
+ if ( Vec_IntEntry(p->vRequired, pFanin->Id) > ReqNew - 1 )
+ {
+ Vec_IntWriteEntry( p->vRequired, pFanin->Id, ReqNew - 1 );
+ Ivy_ObjUpdateLevelR_rec( p, pFanin, ReqNew - 1 );
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns 1 if the node is the root of MUX or EXOR/NEXOR.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_ObjIsMuxType( Ivy_Obj_t * pNode )
+{
+ Ivy_Obj_t * pNode0, * pNode1;
+ // check that the node is regular
+ assert( !Ivy_IsComplement(pNode) );
+ // if the node is not AND, this is not MUX
+ if ( !Ivy_ObjIsAnd(pNode) )
+ return 0;
+ // if the children are not complemented, this is not MUX
+ if ( !Ivy_ObjFaninC0(pNode) || !Ivy_ObjFaninC1(pNode) )
+ return 0;
+ // get children
+ pNode0 = Ivy_ObjFanin0(pNode);
+ pNode1 = Ivy_ObjFanin1(pNode);
+ // if the children are not ANDs, this is not MUX
+ if ( !Ivy_ObjIsAnd(pNode0) || !Ivy_ObjIsAnd(pNode1) )
+ return 0;
+ // otherwise the node is MUX iff it has a pair of equal grandchildren
+ return (Ivy_ObjFaninId0(pNode0) == Ivy_ObjFaninId0(pNode1) && (Ivy_ObjFaninC0(pNode0) ^ Ivy_ObjFaninC0(pNode1))) ||
+ (Ivy_ObjFaninId0(pNode0) == Ivy_ObjFaninId1(pNode1) && (Ivy_ObjFaninC0(pNode0) ^ Ivy_ObjFaninC1(pNode1))) ||
+ (Ivy_ObjFaninId1(pNode0) == Ivy_ObjFaninId0(pNode1) && (Ivy_ObjFaninC1(pNode0) ^ Ivy_ObjFaninC0(pNode1))) ||
+ (Ivy_ObjFaninId1(pNode0) == Ivy_ObjFaninId1(pNode1) && (Ivy_ObjFaninC1(pNode0) ^ Ivy_ObjFaninC1(pNode1)));
+}
+
+/**Function*************************************************************
+
+ Synopsis [Recognizes what nodes are control and data inputs of a MUX.]
+
+ Description [If the node is a MUX, returns the control variable C.
+ Assigns nodes T and E to be the then and else variables of the MUX.
+ Node C is never complemented. Nodes T and E can be complemented.
+ This function also recognizes EXOR/NEXOR gates as MUXes.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Obj_t * Ivy_ObjRecognizeMux( Ivy_Obj_t * pNode, Ivy_Obj_t ** ppNodeT, Ivy_Obj_t ** ppNodeE )
+{
+ Ivy_Obj_t * pNode0, * pNode1;
+ assert( !Ivy_IsComplement(pNode) );
+ assert( Ivy_ObjIsMuxType(pNode) );
+ // get children
+ pNode0 = Ivy_ObjFanin0(pNode);
+ pNode1 = Ivy_ObjFanin1(pNode);
+ // find the control variable
+// if ( pNode1->p1 == Fraig_Not(pNode2->p1) )
+ if ( Ivy_ObjFaninId0(pNode0) == Ivy_ObjFaninId0(pNode1) && (Ivy_ObjFaninC0(pNode0) ^ Ivy_ObjFaninC0(pNode1)) )
+ {
+// if ( Fraig_IsComplement(pNode1->p1) )
+ if ( Ivy_ObjFaninC0(pNode0) )
+ { // pNode2->p1 is positive phase of C
+ *ppNodeT = Ivy_Not(Ivy_ObjChild1(pNode1));//pNode2->p2);
+ *ppNodeE = Ivy_Not(Ivy_ObjChild1(pNode0));//pNode1->p2);
+ return Ivy_ObjChild0(pNode1);//pNode2->p1;
+ }
+ else
+ { // pNode1->p1 is positive phase of C
+ *ppNodeT = Ivy_Not(Ivy_ObjChild1(pNode0));//pNode1->p2);
+ *ppNodeE = Ivy_Not(Ivy_ObjChild1(pNode1));//pNode2->p2);
+ return Ivy_ObjChild0(pNode0);//pNode1->p1;
+ }
+ }
+// else if ( pNode1->p1 == Fraig_Not(pNode2->p2) )
+ else if ( Ivy_ObjFaninId0(pNode0) == Ivy_ObjFaninId1(pNode1) && (Ivy_ObjFaninC0(pNode0) ^ Ivy_ObjFaninC1(pNode1)) )
+ {
+// if ( Fraig_IsComplement(pNode1->p1) )
+ if ( Ivy_ObjFaninC0(pNode0) )
+ { // pNode2->p2 is positive phase of C
+ *ppNodeT = Ivy_Not(Ivy_ObjChild0(pNode1));//pNode2->p1);
+ *ppNodeE = Ivy_Not(Ivy_ObjChild1(pNode0));//pNode1->p2);
+ return Ivy_ObjChild1(pNode1);//pNode2->p2;
+ }
+ else
+ { // pNode1->p1 is positive phase of C
+ *ppNodeT = Ivy_Not(Ivy_ObjChild1(pNode0));//pNode1->p2);
+ *ppNodeE = Ivy_Not(Ivy_ObjChild0(pNode1));//pNode2->p1);
+ return Ivy_ObjChild0(pNode0);//pNode1->p1;
+ }
+ }
+// else if ( pNode1->p2 == Fraig_Not(pNode2->p1) )
+ else if ( Ivy_ObjFaninId1(pNode0) == Ivy_ObjFaninId0(pNode1) && (Ivy_ObjFaninC1(pNode0) ^ Ivy_ObjFaninC0(pNode1)) )
+ {
+// if ( Fraig_IsComplement(pNode1->p2) )
+ if ( Ivy_ObjFaninC1(pNode0) )
+ { // pNode2->p1 is positive phase of C
+ *ppNodeT = Ivy_Not(Ivy_ObjChild1(pNode1));//pNode2->p2);
+ *ppNodeE = Ivy_Not(Ivy_ObjChild0(pNode0));//pNode1->p1);
+ return Ivy_ObjChild0(pNode1);//pNode2->p1;
+ }
+ else
+ { // pNode1->p2 is positive phase of C
+ *ppNodeT = Ivy_Not(Ivy_ObjChild0(pNode0));//pNode1->p1);
+ *ppNodeE = Ivy_Not(Ivy_ObjChild1(pNode1));//pNode2->p2);
+ return Ivy_ObjChild1(pNode0);//pNode1->p2;
+ }
+ }
+// else if ( pNode1->p2 == Fraig_Not(pNode2->p2) )
+ else if ( Ivy_ObjFaninId1(pNode0) == Ivy_ObjFaninId1(pNode1) && (Ivy_ObjFaninC1(pNode0) ^ Ivy_ObjFaninC1(pNode1)) )
+ {
+// if ( Fraig_IsComplement(pNode1->p2) )
+ if ( Ivy_ObjFaninC1(pNode0) )
+ { // pNode2->p2 is positive phase of C
+ *ppNodeT = Ivy_Not(Ivy_ObjChild0(pNode1));//pNode2->p1);
+ *ppNodeE = Ivy_Not(Ivy_ObjChild0(pNode0));//pNode1->p1);
+ return Ivy_ObjChild1(pNode1);//pNode2->p2;
+ }
+ else
+ { // pNode1->p2 is positive phase of C
+ *ppNodeT = Ivy_Not(Ivy_ObjChild0(pNode0));//pNode1->p1);
+ *ppNodeE = Ivy_Not(Ivy_ObjChild0(pNode1));//pNode2->p1);
+ return Ivy_ObjChild1(pNode0);//pNode1->p2;
+ }
+ }
+ assert( 0 ); // this is not MUX
+ return NULL;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns the real fanin.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Obj_t * Ivy_ObjReal( Ivy_Obj_t * pObj )
+{
+ Ivy_Obj_t * pFanin;
+ if ( pObj == NULL || !Ivy_ObjIsBuf( Ivy_Regular(pObj) ) )
+ return pObj;
+ pFanin = Ivy_ObjReal( Ivy_ObjChild0(Ivy_Regular(pObj)) );
+ return Ivy_NotCond( pFanin, Ivy_IsComplement(pObj) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Prints node in HAIG.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_ObjPrintVerbose( Ivy_Man_t * p, Ivy_Obj_t * pObj, int fHaig )
+{
+ Ivy_Obj_t * pTemp;
+ int fShowFanouts = 0;
+ assert( !Ivy_IsComplement(pObj) );
+ printf( "Node %5d : ", Ivy_ObjId(pObj) );
+ if ( Ivy_ObjIsConst1(pObj) )
+ printf( "constant 1" );
+ else if ( Ivy_ObjIsPi(pObj) )
+ printf( "PI" );
+ else if ( Ivy_ObjIsPo(pObj) )
+ printf( "PO" );
+ else if ( Ivy_ObjIsLatch(pObj) )
+ printf( "latch (%d%s)", Ivy_ObjFanin0(pObj)->Id, (Ivy_ObjFaninC0(pObj)? "\'" : " ") );
+ else if ( Ivy_ObjIsBuf(pObj) )
+ printf( "buffer (%d%s)", Ivy_ObjFanin0(pObj)->Id, (Ivy_ObjFaninC0(pObj)? "\'" : " ") );
+ else
+ printf( "AND( %5d%s, %5d%s )",
+ Ivy_ObjFanin0(pObj)->Id, (Ivy_ObjFaninC0(pObj)? "\'" : " "),
+ Ivy_ObjFanin1(pObj)->Id, (Ivy_ObjFaninC1(pObj)? "\'" : " ") );
+ printf( " (refs = %3d)", Ivy_ObjRefs(pObj) );
+ if ( fShowFanouts )
+ {
+ Vec_Ptr_t * vFanouts;
+ Ivy_Obj_t * pFanout;
+ int i;
+ vFanouts = Vec_PtrAlloc( 10 );
+ printf( "\nFanouts:\n" );
+ Ivy_ObjForEachFanout( p, pObj, vFanouts, pFanout, i )
+ {
+ printf( " " );
+ printf( "Node %5d : ", Ivy_ObjId(pFanout) );
+ if ( Ivy_ObjIsPo(pFanout) )
+ printf( "PO" );
+ else if ( Ivy_ObjIsLatch(pFanout) )
+ printf( "latch (%d%s)", Ivy_ObjFanin0(pFanout)->Id, (Ivy_ObjFaninC0(pFanout)? "\'" : " ") );
+ else if ( Ivy_ObjIsBuf(pFanout) )
+ printf( "buffer (%d%s)", Ivy_ObjFanin0(pFanout)->Id, (Ivy_ObjFaninC0(pFanout)? "\'" : " ") );
+ else
+ printf( "AND( %5d%s, %5d%s )",
+ Ivy_ObjFanin0(pFanout)->Id, (Ivy_ObjFaninC0(pFanout)? "\'" : " "),
+ Ivy_ObjFanin1(pFanout)->Id, (Ivy_ObjFaninC1(pFanout)? "\'" : " ") );
+ printf( "\n" );
+ }
+ Vec_PtrFree( vFanouts );
+ return;
+ }
+ if ( !fHaig )
+ {
+ if ( pObj->pEquiv == NULL )
+ printf( " HAIG node not given" );
+ else
+ printf( " HAIG node = %d%s", Ivy_Regular(pObj->pEquiv)->Id, (Ivy_IsComplement(pObj->pEquiv)? "\'" : " ") );
+ return;
+ }
+ if ( pObj->pEquiv == NULL )
+ return;
+ // there are choices
+ if ( Ivy_ObjRefs(pObj) > 0 )
+ {
+ // print equivalence class
+ printf( " { %5d ", pObj->Id );
+ assert( !Ivy_IsComplement(pObj->pEquiv) );
+ for ( pTemp = pObj->pEquiv; pTemp != pObj; pTemp = Ivy_Regular(pTemp->pEquiv) )
+ printf( " %5d%s", pTemp->Id, (Ivy_IsComplement(pTemp->pEquiv)? "\'" : " ") );
+ printf( " }" );
+ return;
+ }
+ // this is a secondary node
+ for ( pTemp = Ivy_Regular(pObj->pEquiv); Ivy_ObjRefs(pTemp) == 0; pTemp = Ivy_Regular(pTemp->pEquiv) );
+ assert( Ivy_ObjRefs(pTemp) > 0 );
+ printf( " class of %d", pTemp->Id );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Prints node in HAIG.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Ivy_ManPrintVerbose( Ivy_Man_t * p, int fHaig )
+{
+ Vec_Int_t * vNodes;
+ Ivy_Obj_t * pObj;
+ int i;
+ printf( "PIs: " );
+ Ivy_ManForEachPi( p, pObj, i )
+ printf( " %d", pObj->Id );
+ printf( "\n" );
+ printf( "POs: " );
+ Ivy_ManForEachPo( p, pObj, i )
+ printf( " %d", pObj->Id );
+ printf( "\n" );
+ printf( "Latches: " );
+ Ivy_ManForEachLatch( p, pObj, i )
+ printf( " %d=%d%s", pObj->Id, Ivy_ObjFanin0(pObj)->Id, (Ivy_ObjFaninC0(pObj)? "\'" : " ") );
+ printf( "\n" );
+ vNodes = Ivy_ManDfsSeq( p, NULL );
+ Ivy_ManForEachNodeVec( p, vNodes, pObj, i )
+ Ivy_ObjPrintVerbose( p, pObj, fHaig ), printf( "\n" );
+ printf( "\n" );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs incremental rewriting of the AIG.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_CutTruthPrint2( Ivy_Man_t * p, Ivy_Cut_t * pCut, unsigned uTruth )
+{
+ int i;
+ printf( "Trying cut : {" );
+ for ( i = 0; i < pCut->nSize; i++ )
+ printf( " %6d(%d)", Ivy_LeafId(pCut->pArray[i]), Ivy_LeafLat(pCut->pArray[i]) );
+ printf( " } " );
+ Extra_PrintBinary( stdout, &uTruth, 16 ); printf( "\n" );
+ return 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs incremental rewriting of the AIG.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_CutTruthPrint( Ivy_Man_t * p, Ivy_Cut_t * pCut, unsigned uTruth )
+{
+ Vec_Ptr_t * vArray;
+ Ivy_Obj_t * pObj, * pFanout;
+ int nLatches = 0;
+ int nPresent = 0;
+ int i, k;
+ int fVerbose = 0;
+
+ if ( fVerbose )
+ printf( "Trying cut : {" );
+ for ( i = 0; i < pCut->nSize; i++ )
+ {
+ if ( fVerbose )
+ printf( " %6d(%d)", Ivy_LeafId(pCut->pArray[i]), Ivy_LeafLat(pCut->pArray[i]) );
+ nLatches += Ivy_LeafLat(pCut->pArray[i]);
+ }
+ if ( fVerbose )
+ printf( " } " );
+ if ( fVerbose )
+ printf( "Latches = %d. ", nLatches );
+
+ // check if there are latches on the fanout edges
+ vArray = Vec_PtrAlloc( 100 );
+ for ( i = 0; i < pCut->nSize; i++ )
+ {
+ pObj = Ivy_ManObj( p, Ivy_LeafId(pCut->pArray[i]) );
+ Ivy_ObjForEachFanout( p, pObj, vArray, pFanout, k )
+ {
+ if ( Ivy_ObjIsLatch(pFanout) )
+ {
+ nPresent++;
+ break;
+ }
+ }
+ }
+ Vec_PtrSize( vArray );
+ if ( fVerbose )
+ {
+ printf( "Present = %d. ", nPresent );
+ if ( nLatches > nPresent )
+ printf( "Clauses = %d. ", 2*(nLatches - nPresent) );
+ printf( "\n" );
+ }
+ return ( nLatches > nPresent ) ? 2*(nLatches - nPresent) : 0;
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/ivy/ivy_.c b/src/aig/ivy/ivy_.c
new file mode 100644
index 00000000..65689689
--- /dev/null
+++ b/src/aig/ivy/ivy_.c
@@ -0,0 +1,48 @@
+/**CFile****************************************************************
+
+ FileName [ivy_.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [And-Inverter Graph package.]
+
+ Synopsis []
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - May 11, 2006.]
+
+ Revision [$Id: ivy_.c,v 1.00 2006/05/11 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "ivy.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/ivy/module.make b/src/aig/ivy/module.make
new file mode 100644
index 00000000..daef43df
--- /dev/null
+++ b/src/aig/ivy/module.make
@@ -0,0 +1,22 @@
+SRC += src/aig/ivy/ivyBalance.c \
+ src/aig/ivy/ivyCanon.c \
+ src/aig/ivy/ivyCheck.c \
+ src/aig/ivy/ivyCut.c \
+ src/aig/ivy/ivyCutTrav.c \
+ src/aig/ivy/ivyDfs.c \
+ src/aig/ivy/ivyDsd.c \
+ src/aig/ivy/ivyFanout.c \
+ src/aig/ivy/ivyFastMap.c \
+ src/aig/ivy/ivyFraig.c \
+ src/aig/ivy/ivyHaig.c \
+ src/aig/ivy/ivyMan.c \
+ src/aig/ivy/ivyMem.c \
+ src/aig/ivy/ivyMulti.c \
+ src/aig/ivy/ivyObj.c \
+ src/aig/ivy/ivyOper.c \
+ src/aig/ivy/ivyResyn.c \
+ src/aig/ivy/ivyRwr.c \
+ src/aig/ivy/ivySeq.c \
+ src/aig/ivy/ivyShow.c \
+ src/aig/ivy/ivyTable.c \
+ src/aig/ivy/ivyUtil.c
diff --git a/src/aig/kit/cloud.c b/src/aig/kit/cloud.c
new file mode 100644
index 00000000..6e6691f0
--- /dev/null
+++ b/src/aig/kit/cloud.c
@@ -0,0 +1,987 @@
+/**CFile****************************************************************
+
+ FileName [cloudCore.c]
+
+ PackageName [Fast application-specific BDD package.]
+
+ Synopsis [The package core.]
+
+ Author [Alan Mishchenko <alanmi@ece.pdx.edu>]
+
+ Affiliation [ECE Department. Portland State University, Portland, Oregon.]
+
+ Date [Ver. 1.0. Started - June 10, 2002.]
+
+ Revision [$Id: cloudCore.c,v 1.0 2002/06/10 03:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "cloud.h"
+
+// the number of operators using cache
+static int CacheOperNum = 4;
+
+// the ratio of cache size to the unique table size for each operator
+static int CacheLogRatioDefault[4] = {
+ 2, // CLOUD_OPER_AND,
+ 8, // CLOUD_OPER_XOR,
+ 8, // CLOUD_OPER_BDIFF,
+ 8 // CLOUD_OPER_LEQ
+};
+
+// the ratio of cache size to the unique table size for each operator
+static int CacheSize[4] = {
+ 2, // CLOUD_OPER_AND,
+ 2, // CLOUD_OPER_XOR,
+ 2, // CLOUD_OPER_BDIFF,
+ 2 // CLOUD_OPER_LEQ
+};
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+// static functions
+static CloudNode * cloudMakeNode( CloudManager * dd, CloudVar v, CloudNode * t, CloudNode * e );
+static void cloudCacheAllocate( CloudManager * dd, CloudOper oper );
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function********************************************************************
+
+ Synopsis [Starts the cloud manager.]
+
+ Description [The first arguments is the number of elementary variables used.
+ The second arguments is the number of bits of the unsigned integer used to
+ represent nodes in the unique table. If the second argument is 0, the package
+ assumes 23 to represent nodes, which is equivalent to 2^23 = 8,388,608 nodes.]
+
+ SideEffects []
+
+ SeeAlso []
+
+******************************************************************************/
+CloudManager * Cloud_Init( int nVars, int nBits )
+{
+ CloudManager * dd;
+ int i;
+ int clk1, clk2;
+
+ assert( nVars <= 100000 );
+ assert( nBits < 32 );
+
+ // assign the defaults
+ if ( nBits == 0 )
+ nBits = CLOUD_NODE_BITS;
+
+ // start the manager
+ dd = CALLOC( CloudManager, 1 );
+ dd->nMemUsed += sizeof(CloudManager);
+
+ // variables
+ dd->nVars = nVars; // the number of variables allocated
+ // bits
+ dd->bitsNode = nBits; // the number of bits used for the node
+ for ( i = 0; i < CacheOperNum; i++ )
+ dd->bitsCache[i] = nBits - CacheLogRatioDefault[i];
+ // shifts
+ dd->shiftUnique = 8*sizeof(unsigned) - (nBits + 1); // gets node index in the hash table
+ for ( i = 0; i < CacheOperNum; i++ )
+ dd->shiftCache[i] = 8*sizeof(unsigned) - dd->bitsCache[i];
+ // nodes
+ dd->nNodesAlloc = (1 << (nBits + 1)); // 2 ^ (nBits + 1)
+ dd->nNodesLimit = (1 << nBits); // 2 ^ nBits
+
+ // unique table
+clk1 = clock();
+ dd->tUnique = CALLOC( CloudNode, dd->nNodesAlloc );
+ dd->nMemUsed += sizeof(CloudNode) * dd->nNodesAlloc;
+clk2 = clock();
+//PRT( "calloc() time", clk2 - clk1 );
+
+ // set up the constant node (the only node that is not in the hash table)
+ dd->nSignCur = 1;
+ dd->tUnique[0].s = dd->nSignCur;
+ dd->tUnique[0].v = CLOUD_CONST_INDEX;
+ dd->tUnique[0].e = CLOUD_VOID;
+ dd->tUnique[0].t = CLOUD_VOID;
+ dd->one = dd->tUnique;
+ dd->zero = Cloud_Not(dd->one);
+ dd->nNodesCur = 1;
+
+ // special nodes
+ dd->pNodeStart = dd->tUnique + 1;
+ dd->pNodeEnd = dd->tUnique + dd->nNodesAlloc;
+
+ // set up the elementary variables
+ dd->vars = ALLOC( CloudNode *, dd->nVars );
+ dd->nMemUsed += sizeof(CloudNode *) * dd->nVars;
+ for ( i = 0; i < dd->nVars; i++ )
+ dd->vars[i] = cloudMakeNode( dd, i, dd->one, dd->zero );
+
+ return dd;
+};
+
+/**Function********************************************************************
+
+ Synopsis [Stops the cloud manager.]
+
+ Description [The first arguments tells show many elementary variables are used.
+ The second arguments tells how many bits of the unsigned integer are used
+ to represent regular nodes in the unique table.]
+
+ SideEffects []
+
+ SeeAlso []
+
+******************************************************************************/
+void Cloud_Quit( CloudManager * dd )
+{
+ int i;
+ FREE( dd->ppNodes );
+ free( dd->tUnique );
+ free( dd->vars );
+ for ( i = 0; i < 4; i++ )
+ FREE( dd->tCaches[i] );
+ free( dd );
+}
+
+/**Function********************************************************************
+
+ Synopsis [Prepares the manager for another run.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+******************************************************************************/
+void Cloud_Restart( CloudManager * dd )
+{
+ int i;
+ assert( dd->one->s == dd->nSignCur );
+ dd->nSignCur++;
+ dd->one->s++;
+ for ( i = 0; i < dd->nVars; i++ )
+ dd->vars[i]->s++;
+ dd->nNodesCur = 1 + dd->nVars;
+}
+
+/**Function********************************************************************
+
+ Synopsis [This optional function allocates operation cache of the given size.]
+
+ Description [Cache for each operation is allocated independently when the first
+ operation of the given type is performed. The user can allocate cache of his/her
+ preferred size by calling Cloud_CacheAllocate before the first operation of the
+ given type is performed, but this call is optional. Argument "logratio" gives
+ the binary logarithm of the ratio of the size of the unique table to that of cache.
+ For example, if "logratio" is equal to 3, and the unique table will be 2^3=8 times
+ larger than cache; so, if unique table is 2^23 = 8,388,608 nodes, the cache size
+ will be 2^3=8 times smaller and equal to 2^20 = 1,048,576 entries.]
+
+ SideEffects []
+
+ SeeAlso []
+
+******************************************************************************/
+void Cloud_CacheAllocate( CloudManager * dd, CloudOper oper, int logratio )
+{
+ assert( logratio > 0 ); // cache cannot be larger than the unique table
+ assert( logratio < dd->bitsNode ); // cache cannot be smaller than 2 entries
+
+ if ( logratio )
+ {
+ dd->bitsCache[oper] = dd->bitsNode - logratio;
+ dd->shiftCache[oper] = 8*sizeof(unsigned) - dd->bitsCache[oper];
+ }
+ cloudCacheAllocate( dd, oper );
+}
+
+/**Function********************************************************************
+
+ Synopsis [Internal cache allocation.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+******************************************************************************/
+void cloudCacheAllocate( CloudManager * dd, CloudOper oper )
+{
+ int nCacheEntries = (1 << dd->bitsCache[oper]);
+
+ if ( CacheSize[oper] == 1 )
+ {
+ dd->tCaches[oper] = (CloudCacheEntry2 *)CALLOC( CloudCacheEntry1, nCacheEntries );
+ dd->nMemUsed += sizeof(CloudCacheEntry1) * nCacheEntries;
+ }
+ else if ( CacheSize[oper] == 2 )
+ {
+ dd->tCaches[oper] = (CloudCacheEntry2 *)CALLOC( CloudCacheEntry2, nCacheEntries );
+ dd->nMemUsed += sizeof(CloudCacheEntry2) * nCacheEntries;
+ }
+ else if ( CacheSize[oper] == 3 )
+ {
+ dd->tCaches[oper] = (CloudCacheEntry2 *)CALLOC( CloudCacheEntry3, nCacheEntries );
+ dd->nMemUsed += sizeof(CloudCacheEntry3) * nCacheEntries;
+ }
+}
+
+
+
+/**Function********************************************************************
+
+ Synopsis [Returns or creates a new node]
+
+ Description [Checks the unique table for the existance of the node. If the node is
+ present, returns the node. If the node is absent, creates a new node.]
+
+ SideEffects []
+
+ SeeAlso []
+
+******************************************************************************/
+CloudNode * Cloud_MakeNode( CloudManager * dd, CloudVar v, CloudNode * t, CloudNode * e )
+{
+ CloudNode * pRes;
+ CLOUD_ASSERT(t);
+ CLOUD_ASSERT(e);
+ assert( v < Cloud_V(t) && v < Cloud_V(e) ); // variable should be above in the order
+ if ( Cloud_IsComplement(t) )
+ {
+ pRes = cloudMakeNode( dd, v, Cloud_Not(t), Cloud_Not(e) );
+ if ( pRes != CLOUD_VOID )
+ pRes = Cloud_Not(pRes);
+ }
+ else
+ pRes = cloudMakeNode( dd, v, t, e );
+ return pRes;
+}
+
+/**Function********************************************************************
+
+ Synopsis [Returns or creates a new node]
+
+ Description [Checks the unique table for the existance of the node. If the node is
+ present, returns the node. If the node is absent, creates a new node.]
+
+ SideEffects []
+
+ SeeAlso []
+
+******************************************************************************/
+CloudNode * cloudMakeNode( CloudManager * dd, CloudVar v, CloudNode * t, CloudNode * e )
+{
+ CloudNode * entryUnique;
+
+ CLOUD_ASSERT(t);
+ CLOUD_ASSERT(e);
+
+ assert( ((int)v) >= 0 && ((int)v) < dd->nVars ); // the variable must be in the range
+ assert( v < Cloud_V(t) && v < Cloud_V(e) ); // variable should be above in the order
+ assert( !Cloud_IsComplement(t) ); // the THEN edge must not be complemented
+
+ // make sure we are not searching for the constant node
+ assert( t && e );
+
+ // get the unique entry
+ entryUnique = dd->tUnique + cloudHashCudd3(v, t, e, dd->shiftUnique);
+ while ( entryUnique->s == dd->nSignCur )
+ {
+ // compare the node
+ if ( entryUnique->v == v && entryUnique->t == t && entryUnique->e == e )
+ { // the node is found
+ dd->nUniqueHits++;
+ return entryUnique; // returns the node
+ }
+ // increment the hash value modulus the hash table size
+ if ( ++entryUnique - dd->tUnique == dd->nNodesAlloc )
+ entryUnique = dd->tUnique + 1;
+ // increment the number of steps through the table
+ dd->nUniqueSteps++;
+ }
+ dd->nUniqueMisses++;
+
+ // check if the new node can be created
+ if ( ++dd->nNodesCur == dd->nNodesLimit )
+ { // initiate the restart
+ printf( "Cloud needs restart!\n" );
+// fflush( stdout );
+// exit(1);
+ return CLOUD_VOID;
+ }
+ // create the node
+ entryUnique->s = dd->nSignCur;
+ entryUnique->v = v;
+ entryUnique->t = t;
+ entryUnique->e = e;
+ return entryUnique; // returns the node
+}
+
+
+/**Function********************************************************************
+
+ Synopsis [Performs the AND or two BDDs]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+******************************************************************************/
+CloudNode * cloudBddAnd( CloudManager * dd, CloudNode * f, CloudNode * g )
+{
+ CloudNode * F, * G, * r;
+ CloudCacheEntry2 * cacheEntry;
+ CloudNode * fv, * fnv, * gv, * gnv, * t, * e;
+ CloudVar var;
+
+ assert( f <= g );
+
+ // terminal cases
+ F = Cloud_Regular(f);
+ G = Cloud_Regular(g);
+ if ( F == G )
+ {
+ if ( f == g )
+ return f;
+ else
+ return dd->zero;
+ }
+ if ( F == dd->one )
+ {
+ if ( f == dd->one )
+ return g;
+ else
+ return f;
+ }
+
+ // check cache
+ cacheEntry = dd->tCaches[CLOUD_OPER_AND] + cloudHashCudd2(f, g, dd->shiftCache[CLOUD_OPER_AND]);
+// cacheEntry = dd->tCaches[CLOUD_OPER_AND] + cloudHashBuddy2(f, g, dd->shiftCache[CLOUD_OPER_AND]);
+ r = cloudCacheLookup2( cacheEntry, dd->nSignCur, f, g );
+ if ( r != CLOUD_VOID )
+ {
+ dd->nCacheHits++;
+ return r;
+ }
+ dd->nCacheMisses++;
+
+
+ // compute cofactors
+ if ( cloudV(F) <= cloudV(G) )
+ {
+ var = cloudV(F);
+ if ( Cloud_IsComplement(f) )
+ {
+ fnv = Cloud_Not(cloudE(F));
+ fv = Cloud_Not(cloudT(F));
+ }
+ else
+ {
+ fnv = cloudE(F);
+ fv = cloudT(F);
+ }
+ }
+ else
+ {
+ var = cloudV(G);
+ fv = fnv = f;
+ }
+
+ if ( cloudV(G) <= cloudV(F) )
+ {
+ if ( Cloud_IsComplement(g) )
+ {
+ gnv = Cloud_Not(cloudE(G));
+ gv = Cloud_Not(cloudT(G));
+ }
+ else
+ {
+ gnv = cloudE(G);
+ gv = cloudT(G);
+ }
+ }
+ else
+ {
+ gv = gnv = g;
+ }
+
+ if ( fv <= gv )
+ t = cloudBddAnd( dd, fv, gv );
+ else
+ t = cloudBddAnd( dd, gv, fv );
+
+ if ( t == CLOUD_VOID )
+ return CLOUD_VOID;
+
+ if ( fnv <= gnv )
+ e = cloudBddAnd( dd, fnv, gnv );
+ else
+ e = cloudBddAnd( dd, gnv, fnv );
+
+ if ( e == CLOUD_VOID )
+ return CLOUD_VOID;
+
+ if ( t == e )
+ r = t;
+ else
+ {
+ if ( Cloud_IsComplement(t) )
+ {
+ r = cloudMakeNode( dd, var, Cloud_Not(t), Cloud_Not(e) );
+ if ( r == CLOUD_VOID )
+ return CLOUD_VOID;
+ r = Cloud_Not(r);
+ }
+ else
+ {
+ r = cloudMakeNode( dd, var, t, e );
+ if ( r == CLOUD_VOID )
+ return CLOUD_VOID;
+ }
+ }
+ cloudCacheInsert2( cacheEntry, dd->nSignCur, f, g, r );
+ return r;
+}
+
+/**Function********************************************************************
+
+ Synopsis [Performs the AND or two BDDs]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+******************************************************************************/
+static inline CloudNode * cloudBddAnd_gate( CloudManager * dd, CloudNode * f, CloudNode * g )
+{
+ if ( f <= g )
+ return cloudBddAnd(dd,f,g);
+ else
+ return cloudBddAnd(dd,g,f);
+}
+
+/**Function********************************************************************
+
+ Synopsis [Performs the AND or two BDDs]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+******************************************************************************/
+CloudNode * Cloud_bddAnd( CloudManager * dd, CloudNode * f, CloudNode * g )
+{
+ if ( Cloud_Regular(f) == CLOUD_VOID || Cloud_Regular(g) == CLOUD_VOID )
+ return CLOUD_VOID;
+ CLOUD_ASSERT(f);
+ CLOUD_ASSERT(g);
+ if ( dd->tCaches[CLOUD_OPER_AND] == NULL )
+ cloudCacheAllocate( dd, CLOUD_OPER_AND );
+ return cloudBddAnd_gate( dd, f, g );
+}
+
+/**Function********************************************************************
+
+ Synopsis [Performs the OR or two BDDs]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+******************************************************************************/
+CloudNode * Cloud_bddOr( CloudManager * dd, CloudNode * f, CloudNode * g )
+{
+ CloudNode * res;
+ if ( Cloud_Regular(f) == CLOUD_VOID || Cloud_Regular(g) == CLOUD_VOID )
+ return CLOUD_VOID;
+ CLOUD_ASSERT(f);
+ CLOUD_ASSERT(g);
+ if ( dd->tCaches[CLOUD_OPER_AND] == NULL )
+ cloudCacheAllocate( dd, CLOUD_OPER_AND );
+ res = cloudBddAnd_gate( dd, Cloud_Not(f), Cloud_Not(g) );
+ res = Cloud_NotCond( res, res != CLOUD_VOID );
+ return res;
+}
+
+/**Function********************************************************************
+
+ Synopsis [Performs the XOR or two BDDs]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+******************************************************************************/
+CloudNode * Cloud_bddXor( CloudManager * dd, CloudNode * f, CloudNode * g )
+{
+ CloudNode * t0, * t1, * r;
+ if ( Cloud_Regular(f) == CLOUD_VOID || Cloud_Regular(g) == CLOUD_VOID )
+ return CLOUD_VOID;
+ CLOUD_ASSERT(f);
+ CLOUD_ASSERT(g);
+ if ( dd->tCaches[CLOUD_OPER_AND] == NULL )
+ cloudCacheAllocate( dd, CLOUD_OPER_AND );
+ t0 = cloudBddAnd_gate( dd, f, Cloud_Not(g) );
+ if ( t0 == CLOUD_VOID )
+ return CLOUD_VOID;
+ t1 = cloudBddAnd_gate( dd, Cloud_Not(f), g );
+ if ( t1 == CLOUD_VOID )
+ return CLOUD_VOID;
+ r = Cloud_bddOr( dd, t0, t1 );
+ return r;
+}
+
+
+
+/**Function********************************************************************
+
+ Synopsis [Performs a DFS from f, clearing the LSB of the next
+ pointers.]
+
+ Description []
+
+ SideEffects [None]
+
+ SeeAlso [cloudSupport cloudDagSize]
+
+******************************************************************************/
+static void cloudClearMark( CloudManager * dd, CloudNode * n )
+{
+ if ( !cloudNodeIsMarked(n) )
+ return;
+ // clear visited flag
+ cloudNodeUnmark(n);
+ if ( cloudIsConstant(n) )
+ return;
+ cloudClearMark( dd, cloudT(n) );
+ cloudClearMark( dd, Cloud_Regular(cloudE(n)) );
+}
+
+/**Function********************************************************************
+
+ Synopsis [Performs the recursive step of Cloud_Support.]
+
+ Description [Performs the recursive step of Cloud_Support. Performs a
+ DFS from f. The support is accumulated in supp as a side effect. Uses
+ the LSB of the then pointer as visited flag.]
+
+ SideEffects [None]
+
+ SeeAlso []
+
+******************************************************************************/
+static void cloudSupport( CloudManager * dd, CloudNode * n, int * support )
+{
+ if ( cloudIsConstant(n) || cloudNodeIsMarked(n) )
+ return;
+ // set visited flag
+ cloudNodeMark(n);
+ support[cloudV(n)] = 1;
+ cloudSupport( dd, cloudT(n), support );
+ cloudSupport( dd, Cloud_Regular(cloudE(n)), support );
+}
+
+/**Function********************************************************************
+
+ Synopsis [Finds the variables on which a DD depends.]
+
+ Description [Finds the variables on which a DD depends.
+ Returns a BDD consisting of the product of the variables if
+ successful; NULL otherwise.]
+
+ SideEffects [None]
+
+ SeeAlso []
+
+******************************************************************************/
+CloudNode * Cloud_Support( CloudManager * dd, CloudNode * n )
+{
+ CloudNode * res;
+ int * support, i;
+
+ CLOUD_ASSERT(n);
+
+ // allocate and initialize support array for cloudSupport
+ support = CALLOC( int, dd->nVars );
+
+ // compute support and clean up markers
+ cloudSupport( dd, Cloud_Regular(n), support );
+ cloudClearMark( dd, Cloud_Regular(n) );
+
+ // transform support from array to cube
+ res = dd->one;
+ for ( i = dd->nVars - 1; i >= 0; i-- ) // for each level bottom-up
+ if ( support[i] == 1 )
+ {
+ res = Cloud_bddAnd( dd, res, dd->vars[i] );
+ if ( res == CLOUD_VOID )
+ break;
+ }
+ FREE( support );
+ return res;
+}
+
+/**Function********************************************************************
+
+ Synopsis [Counts the variables on which a DD depends.]
+
+ Description [Counts the variables on which a DD depends.
+ Returns the number of the variables if successful; Cloud_OUT_OF_MEM
+ otherwise.]
+
+ SideEffects [None]
+
+ SeeAlso []
+
+******************************************************************************/
+int Cloud_SupportSize( CloudManager * dd, CloudNode * n )
+{
+ int * support, i, count;
+
+ CLOUD_ASSERT(n);
+
+ // allocate and initialize support array for cloudSupport
+ support = CALLOC( int, dd->nVars );
+
+ // compute support and clean up markers
+ cloudSupport( dd, Cloud_Regular(n), support );
+ cloudClearMark( dd, Cloud_Regular(n) );
+
+ // count support variables
+ count = 0;
+ for ( i = 0; i < dd->nVars; i++ )
+ {
+ if ( support[i] == 1 )
+ count++;
+ }
+
+ FREE( support );
+ return count;
+}
+
+
+/**Function********************************************************************
+
+ Synopsis [Performs the recursive step of Cloud_DagSize.]
+
+ Description [Performs the recursive step of Cloud_DagSize. Returns the
+ number of nodes in the graph rooted at n.]
+
+ SideEffects [None]
+
+******************************************************************************/
+static int cloudDagSize( CloudManager * dd, CloudNode * n )
+{
+ int tval, eval;
+ if ( cloudNodeIsMarked(n) )
+ return 0;
+ // set visited flag
+ cloudNodeMark(n);
+ if ( cloudIsConstant(n) )
+ return 1;
+ tval = cloudDagSize( dd, cloudT(n) );
+ eval = cloudDagSize( dd, Cloud_Regular(cloudE(n)) );
+ return tval + eval + 1;
+
+}
+
+/**Function********************************************************************
+
+ Synopsis [Counts the number of nodes in a DD.]
+
+ Description [Counts the number of nodes in a DD. Returns the number
+ of nodes in the graph rooted at node.]
+
+ SideEffects []
+
+ SeeAlso []
+
+******************************************************************************/
+int Cloud_DagSize( CloudManager * dd, CloudNode * n )
+{
+ int res;
+ res = cloudDagSize( dd, Cloud_Regular( n ) );
+ cloudClearMark( dd, Cloud_Regular( n ) );
+ return res;
+
+}
+
+
+/**Function********************************************************************
+
+ Synopsis [Performs the recursive step of Cloud_DagSize.]
+
+ Description [Performs the recursive step of Cloud_DagSize. Returns the
+ number of nodes in the graph rooted at n.]
+
+ SideEffects [None]
+
+******************************************************************************/
+static int Cloud_DagCollect_rec( CloudManager * dd, CloudNode * n, int * pCounter )
+{
+ int tval, eval;
+ if ( cloudNodeIsMarked(n) )
+ return 0;
+ // set visited flag
+ cloudNodeMark(n);
+ if ( cloudIsConstant(n) )
+ {
+ dd->ppNodes[(*pCounter)++] = n;
+ return 1;
+ }
+ tval = Cloud_DagCollect_rec( dd, cloudT(n), pCounter );
+ eval = Cloud_DagCollect_rec( dd, Cloud_Regular(cloudE(n)), pCounter );
+ dd->ppNodes[(*pCounter)++] = n;
+ return tval + eval + 1;
+
+}
+
+/**Function********************************************************************
+
+ Synopsis [Counts the number of nodes in a DD.]
+
+ Description [Counts the number of nodes in a DD. Returns the number
+ of nodes in the graph rooted at node.]
+
+ SideEffects []
+
+ SeeAlso []
+
+******************************************************************************/
+int Cloud_DagCollect( CloudManager * dd, CloudNode * n )
+{
+ int res, Counter = 0;
+ if ( dd->ppNodes == NULL )
+ dd->ppNodes = ALLOC( CloudNode *, dd->nNodesLimit );
+ res = Cloud_DagCollect_rec( dd, Cloud_Regular( n ), &Counter );
+ cloudClearMark( dd, Cloud_Regular( n ) );
+ assert( res == Counter );
+ return res;
+
+}
+
+/**Function********************************************************************
+
+ Synopsis [Counts the number of nodes in an array of DDs.]
+
+ Description [Counts the number of nodes in a DD. Returns the number
+ of nodes in the graph rooted at node.]
+
+ SideEffects []
+
+ SeeAlso []
+
+******************************************************************************/
+int Cloud_SharingSize( CloudManager * dd, CloudNode ** pn, int nn )
+{
+ int res, i;
+ res = 0;
+ for ( i = 0; i < nn; i++ )
+ res += cloudDagSize( dd, Cloud_Regular( pn[i] ) );
+ for ( i = 0; i < nn; i++ )
+ cloudClearMark( dd, Cloud_Regular( pn[i] ) );
+ return res;
+}
+
+
+/**Function********************************************************************
+
+ Synopsis [Returns one cube contained in the given BDD.]
+
+ Description []
+
+ SideEffects []
+
+******************************************************************************/
+CloudNode * Cloud_GetOneCube( CloudManager * dd, CloudNode * bFunc )
+{
+ CloudNode * bFunc0, * bFunc1, * res;
+
+ if ( Cloud_IsConstant(bFunc) )
+ return bFunc;
+
+ // cofactor
+ if ( Cloud_IsComplement(bFunc) )
+ {
+ bFunc0 = Cloud_Not( cloudE(bFunc) );
+ bFunc1 = Cloud_Not( cloudT(bFunc) );
+ }
+ else
+ {
+ bFunc0 = cloudE(bFunc);
+ bFunc1 = cloudT(bFunc);
+ }
+
+ // try to find the cube with the negative literal
+ res = Cloud_GetOneCube( dd, bFunc0 );
+ if ( res == CLOUD_VOID )
+ return CLOUD_VOID;
+
+ if ( res != dd->zero )
+ {
+ res = Cloud_bddAnd( dd, res, Cloud_Not(dd->vars[Cloud_V(bFunc)]) );
+ }
+ else
+ {
+ // try to find the cube with the positive literal
+ res = Cloud_GetOneCube( dd, bFunc1 );
+ if ( res == CLOUD_VOID )
+ return CLOUD_VOID;
+ assert( res != dd->zero );
+ res = Cloud_bddAnd( dd, res, dd->vars[Cloud_V(bFunc)] );
+ }
+ return res;
+}
+
+/**Function********************************************************************
+
+ Synopsis [Prints the BDD as a set of disjoint cubes to the standard output.]
+
+ Description []
+
+ SideEffects []
+
+******************************************************************************/
+void Cloud_bddPrint( CloudManager * dd, CloudNode * Func )
+{
+ CloudNode * Cube;
+ int fFirst = 1;
+
+ if ( Func == dd->zero )
+ printf( "Constant 0." );
+ else if ( Func == dd->one )
+ printf( "Constant 1." );
+ else
+ {
+ while ( 1 )
+ {
+ Cube = Cloud_GetOneCube( dd, Func );
+ if ( Cube == CLOUD_VOID || Cube == dd->zero )
+ break;
+ if ( fFirst ) fFirst = 0;
+ else printf( " + " );
+ Cloud_bddPrintCube( dd, Cube );
+ Func = Cloud_bddAnd( dd, Func, Cloud_Not(Cube) );
+ }
+ }
+ printf( "\n" );
+}
+
+/**Function********************************************************************
+
+ Synopsis [Prints one cube.]
+
+ Description []
+
+ SideEffects []
+
+******************************************************************************/
+void Cloud_bddPrintCube( CloudManager * dd, CloudNode * bCube )
+{
+ CloudNode * bCube0, * bCube1;
+
+ assert( !Cloud_IsConstant(bCube) );
+ while ( 1 )
+ {
+ // get the node structure
+ if ( Cloud_IsConstant(bCube) )
+ break;
+
+ // cofactor the cube
+ if ( Cloud_IsComplement(bCube) )
+ {
+ bCube0 = Cloud_Not( cloudE(bCube) );
+ bCube1 = Cloud_Not( cloudT(bCube) );
+ }
+ else
+ {
+ bCube0 = cloudE(bCube);
+ bCube1 = cloudT(bCube);
+ }
+
+ if ( bCube0 != dd->zero )
+ {
+ assert( bCube1 == dd->zero );
+ printf( "[%d]'", cloudV(bCube) );
+ bCube = bCube0;
+ }
+ else
+ {
+ assert( bCube1 != dd->zero );
+ printf( "[%d]", cloudV(bCube) );
+ bCube = bCube1;
+ }
+ }
+}
+
+
+/**Function********************************************************************
+
+ Synopsis [Prints info.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+******************************************************************************/
+void Cloud_PrintInfo( CloudManager * dd )
+{
+ if ( dd == NULL ) return;
+ printf( "The number of unique table nodes allocated = %12d.\n", dd->nNodesAlloc );
+ printf( "The number of unique table nodes present = %12d.\n", dd->nNodesCur );
+ printf( "The number of unique table hits = %12d.\n", dd->nUniqueHits );
+ printf( "The number of unique table misses = %12d.\n", dd->nUniqueMisses );
+ printf( "The number of unique table steps = %12d.\n", dd->nUniqueSteps );
+ printf( "The number of cache hits = %12d.\n", dd->nCacheHits );
+ printf( "The number of cache misses = %12d.\n", dd->nCacheMisses );
+ printf( "The current signature = %12d.\n", dd->nSignCur );
+ printf( "The total memory in use = %12d.\n", dd->nMemUsed );
+}
+
+/**Function********************************************************************
+
+ Synopsis [Prints the state of the hash table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+******************************************************************************/
+void Cloud_PrintHashTable( CloudManager * dd )
+{
+ int i;
+
+ for ( i = 0; i < dd->nNodesAlloc; i++ )
+ if ( dd->tUnique[i].v == CLOUD_CONST_INDEX )
+ printf( "-" );
+ else
+ printf( "+" );
+ printf( "\n" );
+}
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
diff --git a/src/aig/kit/cloud.h b/src/aig/kit/cloud.h
new file mode 100644
index 00000000..ac9d45f4
--- /dev/null
+++ b/src/aig/kit/cloud.h
@@ -0,0 +1,269 @@
+/**CFile****************************************************************
+
+ FileName [cloud.h]
+
+ PackageName [Fast application-specific BDD package.]
+
+ Synopsis [Interface of the package.]
+
+ Author [Alan Mishchenko <alanmi@ece.pdx.edu>]
+
+ Affiliation [ECE Department. Portland State University, Portland, Oregon.]
+
+ Date [Ver. 1.0. Started - June 10, 2002.]
+
+ Revision [$Id: cloud.h,v 1.0 2002/06/10 03:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#ifndef __CLOUD_H__
+#define __CLOUD_H__
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <assert.h>
+#include <time.h>
+
+#ifdef _WIN32
+#define inline __inline // compatible with MS VS 6.0
+#endif
+
+////////////////////////////////////////////////////////////////////////
+// n | 2^n || n | 2^n || n | 2^n || n | 2^n //
+//====================================================================//
+// 1 | 2 || 9 | 512 || 17 | 131,072 || 25 | 33,554,432 //
+// 2 | 4 || 10 | 1,024 || 18 | 262,144 || 26 | 67,108,864 //
+// 3 | 8 || 11 | 2,048 || 19 | 524,288 || 27 | 134,217,728 //
+// 4 | 16 || 12 | 4,096 || 20 | 1,048,576 || 28 | 268,435,456 //
+// 5 | 32 || 13 | 8,192 || 21 | 2,097,152 || 29 | 536,870,912 //
+// 6 | 64 || 14 | 16,384 || 22 | 4,194,304 || 30 | 1,073,741,824 //
+// 7 | 128 || 15 | 32,768 || 23 | 8,388,608 || 31 | 2,147,483,648 //
+// 8 | 256 || 16 | 65,536 || 24 | 16,777,216 || 32 | 4,294,967,296 //
+////////////////////////////////////////////////////////////////////////
+
+// data structure typedefs
+typedef struct cloudManager CloudManager;
+typedef unsigned CloudVar;
+typedef unsigned CloudSign;
+typedef struct cloudNode CloudNode;
+typedef struct cloudCacheEntry1 CloudCacheEntry1;
+typedef struct cloudCacheEntry2 CloudCacheEntry2;
+typedef struct cloudCacheEntry3 CloudCacheEntry3;
+
+// operation codes used to set up the cache
+typedef enum {
+ CLOUD_OPER_AND,
+ CLOUD_OPER_XOR,
+ CLOUD_OPER_BDIFF,
+ CLOUD_OPER_LEQ
+} CloudOper;
+
+/*
+// the number of operators using cache
+static int CacheOperNum = 4;
+
+// the ratio of cache size to the unique table size for each operator
+static int CacheLogRatioDefault[4] = {
+ 4, // CLOUD_OPER_AND,
+ 8, // CLOUD_OPER_XOR,
+ 8, // CLOUD_OPER_BDIFF,
+ 8 // CLOUD_OPER_LEQ
+};
+
+// the ratio of cache size to the unique table size for each operator
+static int CacheSize[4] = {
+ 2, // CLOUD_OPER_AND,
+ 2, // CLOUD_OPER_XOR,
+ 2, // CLOUD_OPER_BDIFF,
+ 2 // CLOUD_OPER_LEQ
+};
+*/
+
+// data structure definitions
+struct cloudManager // the fast bdd manager
+{
+ // variables
+ int nVars; // the number of variables allocated
+ // bits
+ int bitsNode; // the number of bits used for the node
+ int bitsCache[4]; // default: bitsNode - CacheSizeRatio[i]
+ // shifts
+ int shiftUnique; // 8*sizeof(unsigned) - (bitsNode + 1)
+ int shiftCache[4]; // 8*sizeof(unsigned) - bitsCache[i]
+ // nodes
+ int nNodesAlloc; // 2 ^ (bitsNode + 1)
+ int nNodesLimit; // 2 ^ bitsNode
+ int nNodesCur; // the current number of nodes (including const1 and vars)
+ // signature
+ CloudSign nSignCur;
+
+ // statistics
+ int nMemUsed; // memory usage in bytes
+ // cache stats
+ int nUniqueHits; // hits in the unique table
+ int nUniqueMisses; // misses in the unique table
+ int nCacheHits; // hits in the caches
+ int nCacheMisses; // misses in the caches
+ // the number of steps through the hash table
+ int nUniqueSteps;
+
+ // tables
+ CloudNode * tUnique; // the unique table to store BDD nodes
+
+ // special nodes
+ CloudNode * pNodeStart; // the pointer to the first node
+ CloudNode * pNodeEnd; // the pointer to the first node out of the table
+
+ // constants and variables
+ CloudNode * one; // the one function
+ CloudNode * zero; // the zero function
+ CloudNode ** vars; // the elementary variables
+
+ // temporary storage for nodes
+ CloudNode ** ppNodes;
+
+ // caches
+ CloudCacheEntry2 * tCaches[20]; // caches
+};
+
+struct cloudNode // representation of the node in the unique table
+{
+ CloudSign s; // signature
+ CloudVar v; // variable
+ CloudNode * e; // negative cofactor
+ CloudNode * t; // positive cofactor
+};
+struct cloudCacheEntry1 // one-argument cache
+{
+ CloudSign s; // signature
+ CloudNode * a; // argument 1
+ CloudNode * r; // result
+};
+struct cloudCacheEntry2 // the two-argument cache
+{
+ CloudSign s; // signature
+ CloudNode * a;
+ CloudNode * b;
+ CloudNode * r;
+};
+struct cloudCacheEntry3 // the three-argument cache
+{
+ CloudSign s; // signature
+ CloudNode * a;
+ CloudNode * b;
+ CloudNode * c;
+ CloudNode * r;
+};
+
+
+// parameters
+#define CLOUD_NODE_BITS 23
+#define CLOUD_ONE ((unsigned)0x00000001)
+#define CLOUD_NOT_ONE ((unsigned)0xfffffffe)
+#define CLOUD_VOID ((unsigned)0x00000000)
+
+#define CLOUD_CONST_INDEX ((unsigned)0x0fffffff)
+#define CLOUD_MARK_ON ((unsigned)0x10000000)
+#define CLOUD_MARK_OFF ((unsigned)0xefffffff)
+
+// hash functions a la Buddy
+#define cloudHashBuddy2(x,y,s) ((((x)+(y))*((x)+(y)+1)/2) & ((1<<(32-(s)))-1))
+#define cloudHashBuddy3(x,y,z,s) (cloudHashBuddy2((cloudHashBuddy2((x),(y),(s))),(z),(s)) & ((1<<(32-(s)))-1))
+// hash functions a la Cudd
+#define DD_P1 12582917
+#define DD_P2 4256249
+#define DD_P3 741457
+#define DD_P4 1618033999
+#define cloudHashCudd2(f,g,s) ((((unsigned)(f) * DD_P1 + (unsigned)(g)) * DD_P2) >> (s))
+#define cloudHashCudd3(f,g,h,s) (((((unsigned)(f) * DD_P1 + (unsigned)(g)) * DD_P2 + (unsigned)(h)) * DD_P3) >> (s))
+
+// node complementation (using node)
+#define Cloud_Regular(p) ((CloudNode*)(((unsigned)(p)) & CLOUD_NOT_ONE)) // get the regular node (w/o bubble)
+#define Cloud_Not(p) ((CloudNode*)(((unsigned)(p)) ^ CLOUD_ONE)) // complement the node
+#define Cloud_NotCond(p,c) (((int)(c))? Cloud_Not(p):(p)) // complement the node conditionally
+#define Cloud_IsComplement(p) ((int)(((unsigned)(p)) & CLOUD_ONE)) // check if complemented
+// checking constants (using node)
+#define Cloud_IsConstant(p) (((Cloud_Regular(p))->v & CLOUD_MARK_OFF) == CLOUD_CONST_INDEX)
+#define cloudIsConstant(p) (((p)->v & CLOUD_MARK_OFF) == CLOUD_CONST_INDEX)
+
+// retrieving values from the node (using node structure)
+#define Cloud_V(p) ((Cloud_Regular(p))->v)
+#define Cloud_E(p) ((Cloud_Regular(p))->e)
+#define Cloud_T(p) ((Cloud_Regular(p))->t)
+// retrieving values from the regular node (using node structure)
+#define cloudV(p) ((p)->v)
+#define cloudE(p) ((p)->e)
+#define cloudT(p) ((p)->t)
+// marking/unmarking (using node structure)
+#define cloudNodeMark(p) ((p)->v |= CLOUD_MARK_ON)
+#define cloudNodeUnmark(p) ((p)->v &= CLOUD_MARK_OFF)
+#define cloudNodeIsMarked(p) ((int)((p)->v & CLOUD_MARK_ON))
+
+// cache lookups and inserts (using node)
+#define cloudCacheLookup1(p,sign,f) (((p)->s == (sign) && (p)->a == (f))? ((p)->r): (CLOUD_VOID))
+#define cloudCacheLookup2(p,sign,f,g) (((p)->s == (sign) && (p)->a == (f) && (p)->b == (g))? ((p)->r): (CLOUD_VOID))
+#define cloudCacheLookup3(p,sign,f,g,h) (((p)->s == (sign) && (p)->a == (f) && (p)->b == (g) && (p)->c == (h))? ((p)->r): (CLOUD_VOID))
+// cache inserts
+#define cloudCacheInsert1(p,sign,f,r) (((p)->s = (sign)), ((p)->a = (f)), ((p)->r = (r)))
+#define cloudCacheInsert2(p,sign,f,g,r) (((p)->s = (sign)), ((p)->a = (f)), ((p)->b = (g)), ((p)->r = (r)))
+#define cloudCacheInsert3(p,sign,f,g,h,r) (((p)->s = (sign)), ((p)->a = (f)), ((p)->b = (g)), ((p)->c = (h)), ((p)->r = (r)))
+
+//#define CLOUD_ASSERT(p) (assert((p) >= (dd->pNodeStart-1) && (p) < dd->pNodeEnd))
+#define CLOUD_ASSERT(p) assert((p) >= dd->tUnique && (p) < dd->tUnique+dd->nNodesAlloc)
+
+// utility macros
+#ifndef ALLOC
+#define ALLOC(type, num) ((type *) malloc(sizeof(type) * (num)))
+#endif
+
+#ifndef CALLOC
+#define CALLOC(type, num) ((type *) calloc((num), sizeof(type)))
+#endif
+
+#ifndef FREE
+#define FREE(obj) ((obj) ? (free((char *) (obj)), (obj) = 0) : 0)
+#endif
+
+#ifndef PRT
+#define PRT(a,t) fprintf( stdout, "%s = ", (a)); printf( "%.2f sec\n", (float)(t)/(float)(CLOCKS_PER_SEC) )
+#endif
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+// starting/stopping
+extern CloudManager * Cloud_Init( int nVars, int nBits );
+extern void Cloud_Quit( CloudManager * dd );
+extern void Cloud_Restart( CloudManager * dd );
+extern void Cloud_CacheAllocate( CloudManager * dd, CloudOper oper, int size );
+extern CloudNode * Cloud_MakeNode( CloudManager * dd, CloudVar v, CloudNode * t, CloudNode * e );
+// support and node count
+extern CloudNode * Cloud_Support( CloudManager * dd, CloudNode * n );
+extern int Cloud_SupportSize( CloudManager * dd, CloudNode * n );
+extern int Cloud_DagSize( CloudManager * dd, CloudNode * n );
+extern int Cloud_DagCollect( CloudManager * dd, CloudNode * n );
+extern int Cloud_SharingSize( CloudManager * dd, CloudNode * * pn, int nn );
+// cubes
+extern CloudNode * Cloud_GetOneCube( CloudManager * dd, CloudNode * n );
+extern void Cloud_bddPrint( CloudManager * dd, CloudNode * Func );
+extern void Cloud_bddPrintCube( CloudManager * dd, CloudNode * Cube );
+// operations
+extern CloudNode * Cloud_bddAnd( CloudManager * dd, CloudNode * f, CloudNode * g );
+extern CloudNode * Cloud_bddOr( CloudManager * dd, CloudNode * f, CloudNode * g );
+// stats
+extern void Cloud_PrintInfo( CloudManager * dd );
+extern void Cloud_PrintHashTable( CloudManager * dd );
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
diff --git a/src/aig/kit/kit.h b/src/aig/kit/kit.h
new file mode 100644
index 00000000..06a93cf0
--- /dev/null
+++ b/src/aig/kit/kit.h
@@ -0,0 +1,594 @@
+/**CFile****************************************************************
+
+ FileName [kit.h]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [Computation kit.]
+
+ Synopsis [External declarations.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - Dec 6, 2006.]
+
+ Revision [$Id: kit.h,v 1.00 2006/12/06 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#ifndef __KIT_H__
+#define __KIT_H__
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+////////////////////////////////////////////////////////////////////////
+/// INCLUDES ///
+////////////////////////////////////////////////////////////////////////
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <assert.h>
+#include <time.h>
+#include "vec.h"
+#include "extra.h"
+#include "cloud.h"
+
+////////////////////////////////////////////////////////////////////////
+/// PARAMETERS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// BASIC TYPES ///
+////////////////////////////////////////////////////////////////////////
+
+typedef struct Kit_Sop_t_ Kit_Sop_t;
+struct Kit_Sop_t_
+{
+ int nCubes; // the number of cubes
+ unsigned * pCubes; // the storage for cubes
+};
+
+typedef struct Kit_Edge_t_ Kit_Edge_t;
+struct Kit_Edge_t_
+{
+ unsigned fCompl : 1; // the complemented bit
+ unsigned Node : 30; // the decomposition node pointed by the edge
+};
+
+typedef struct Kit_Node_t_ Kit_Node_t;
+struct Kit_Node_t_
+{
+ Kit_Edge_t eEdge0; // the left child of the node
+ Kit_Edge_t eEdge1; // the right child of the node
+ // other info
+ void * pFunc; // the function of the node (BDD or AIG)
+ unsigned Level : 14; // the level of this node in the global AIG
+ // printing info
+ unsigned fNodeOr : 1; // marks the original OR node
+ unsigned fCompl0 : 1; // marks the original complemented edge
+ unsigned fCompl1 : 1; // marks the original complemented edge
+ // latch info
+ unsigned nLat0 : 5; // the number of latches on the first edge
+ unsigned nLat1 : 5; // the number of latches on the second edge
+ unsigned nLat2 : 5; // the number of latches on the output edge
+};
+
+typedef struct Kit_Graph_t_ Kit_Graph_t;
+struct Kit_Graph_t_
+{
+ int fConst; // marks the constant 1 graph
+ int nLeaves; // the number of leaves
+ int nSize; // the number of nodes (including the leaves)
+ int nCap; // the number of allocated nodes
+ Kit_Node_t * pNodes; // the array of leaves and internal nodes
+ Kit_Edge_t eRoot; // the pointer to the topmost node
+};
+
+
+// DSD node types
+typedef enum {
+ KIT_DSD_NONE = 0, // 0: unknown
+ KIT_DSD_CONST1, // 1: constant 1
+ KIT_DSD_VAR, // 2: elementary variable
+ KIT_DSD_AND, // 3: multi-input AND
+ KIT_DSD_XOR, // 4: multi-input XOR
+ KIT_DSD_PRIME // 5: arbitrary function of 3+ variables
+} Kit_Dsd_t;
+
+// DSD node
+typedef struct Kit_DsdObj_t_ Kit_DsdObj_t;
+struct Kit_DsdObj_t_
+{
+ unsigned Id : 6; // the number of this node
+ unsigned Type : 3; // none, const, var, AND, XOR, MUX, PRIME
+ unsigned fMark : 1; // finished checking output
+ unsigned Offset : 8; // offset to the truth table
+ unsigned nRefs : 8; // offset to the truth table
+ unsigned nFans : 6; // the number of fanins of this node
+ unsigned char pFans[0]; // the fanin literals
+};
+
+// DSD network
+typedef struct Kit_DsdNtk_t_ Kit_DsdNtk_t;
+struct Kit_DsdNtk_t_
+{
+ unsigned char nVars; // at most 16 (perhaps 18?)
+ unsigned char nNodesAlloc; // the number of allocated nodes (at most nVars)
+ unsigned char nNodes; // the number of nodes
+ unsigned char Root; // the root of the tree
+ unsigned * pMem; // memory for the truth tables (memory manager?)
+ unsigned * pSupps; // supports of the nodes
+ Kit_DsdObj_t** pNodes; // the nodes
+};
+
+// DSD manager
+typedef struct Kit_DsdMan_t_ Kit_DsdMan_t;
+struct Kit_DsdMan_t_
+{
+ int nVars; // the maximum number of variables
+ int nWords; // the number of words in TTs
+ Vec_Ptr_t * vTtElems; // elementary truth tables
+ Vec_Ptr_t * vTtNodes; // the node truth tables
+ // BDD representation
+ CloudManager * dd; // BDD package
+ Vec_Ptr_t * vTtBdds; // the node truth tables
+ Vec_Int_t * vNodes; // temporary array for BDD nodes
+};
+
+static inline int Kit_DsdVar2Lit( int Var, int fCompl ) { return Var + Var + fCompl; }
+static inline int Kit_DsdLit2Var( int Lit ) { return Lit >> 1; }
+static inline int Kit_DsdLitIsCompl( int Lit ) { return Lit & 1; }
+static inline int Kit_DsdLitNot( int Lit ) { return Lit ^ 1; }
+static inline int Kit_DsdLitNotCond( int Lit, int c ) { return Lit ^ (int)(c > 0); }
+static inline int Kit_DsdLitRegular( int Lit ) { return Lit & 0xfe; }
+
+static inline unsigned Kit_DsdObjOffset( int nFans ) { return (nFans >> 2) + ((nFans & 3) > 0); }
+static inline unsigned * Kit_DsdObjTruth( Kit_DsdObj_t * pObj ) { return pObj->Type == KIT_DSD_PRIME ? (unsigned *)pObj->pFans + pObj->Offset: NULL; }
+static inline int Kit_DsdNtkObjNum( Kit_DsdNtk_t * pNtk ){ return pNtk->nVars + pNtk->nNodes; }
+static inline Kit_DsdObj_t * Kit_DsdNtkObj( Kit_DsdNtk_t * pNtk, int Id ) { assert( Id >= 0 && Id < pNtk->nVars + pNtk->nNodes ); return Id < pNtk->nVars ? NULL : pNtk->pNodes[Id - pNtk->nVars]; }
+static inline Kit_DsdObj_t * Kit_DsdNtkRoot( Kit_DsdNtk_t * pNtk ) { return Kit_DsdNtkObj( pNtk, Kit_DsdLit2Var(pNtk->Root) ); }
+static inline int Kit_DsdLitIsLeaf( Kit_DsdNtk_t * pNtk, int Lit ) { int Id = Kit_DsdLit2Var(Lit); assert( Id >= 0 && Id < pNtk->nVars + pNtk->nNodes ); return Id < pNtk->nVars; }
+static inline unsigned Kit_DsdLitSupport( Kit_DsdNtk_t * pNtk, int Lit ) { int Id = Kit_DsdLit2Var(Lit); assert( Id >= 0 && Id < pNtk->nVars + pNtk->nNodes ); return pNtk->pSupps? (Id < pNtk->nVars? (1 << Id) : pNtk->pSupps[Id - pNtk->nVars]) : 0; }
+
+#define Kit_DsdNtkForEachObj( pNtk, pObj, i ) \
+ for ( i = 0; (i < (pNtk)->nNodes) && ((pObj) = (pNtk)->pNodes[i]); i++ )
+#define Kit_DsdObjForEachFanin( pNtk, pObj, iLit, i ) \
+ for ( i = 0; (i < (pObj)->nFans) && ((iLit) = (pObj)->pFans[i], 1); i++ )
+
+////////////////////////////////////////////////////////////////////////
+/// MACRO DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+#define KIT_MIN(a,b) (((a) < (b))? (a) : (b))
+#define KIT_MAX(a,b) (((a) > (b))? (a) : (b))
+#define KIT_INFINITY (100000000)
+
+#ifndef ALLOC
+#define ALLOC(type, num) ((type *) malloc(sizeof(type) * (num)))
+#endif
+
+#ifndef FREE
+#define FREE(obj) ((obj) ? (free((char *) (obj)), (obj) = 0) : 0)
+#endif
+
+#ifndef REALLOC
+#define REALLOC(type, obj, num) \
+ ((obj) ? ((type *) realloc((char *)(obj), sizeof(type) * (num))) : \
+ ((type *) malloc(sizeof(type) * (num))))
+#endif
+
+static inline int Kit_CubeHasLit( unsigned uCube, int i ) { return(uCube & (unsigned)(1<<i)) > 0; }
+static inline unsigned Kit_CubeSetLit( unsigned uCube, int i ) { return uCube | (unsigned)(1<<i); }
+static inline unsigned Kit_CubeXorLit( unsigned uCube, int i ) { return uCube ^ (unsigned)(1<<i); }
+static inline unsigned Kit_CubeRemLit( unsigned uCube, int i ) { return uCube & ~(unsigned)(1<<i); }
+
+static inline int Kit_CubeContains( unsigned uLarge, unsigned uSmall ) { return (uLarge & uSmall) == uSmall; }
+static inline unsigned Kit_CubeSharp( unsigned uCube, unsigned uMask ) { return uCube & ~uMask; }
+static inline unsigned Kit_CubeMask( int nVar ) { return (~(unsigned)0) >> (32-nVar); }
+
+static inline int Kit_CubeIsMarked( unsigned uCube ) { return Kit_CubeHasLit( uCube, 31 ); }
+static inline unsigned Kit_CubeMark( unsigned uCube ) { return Kit_CubeSetLit( uCube, 31 ); }
+static inline unsigned Kit_CubeUnmark( unsigned uCube ) { return Kit_CubeRemLit( uCube, 31 ); }
+
+static inline int Kit_SopCubeNum( Kit_Sop_t * cSop ) { return cSop->nCubes; }
+static inline unsigned Kit_SopCube( Kit_Sop_t * cSop, int i ) { return cSop->pCubes[i]; }
+static inline void Kit_SopShrink( Kit_Sop_t * cSop, int nCubesNew ) { cSop->nCubes = nCubesNew; }
+static inline void Kit_SopPushCube( Kit_Sop_t * cSop, unsigned uCube ) { cSop->pCubes[cSop->nCubes++] = uCube; }
+static inline void Kit_SopWriteCube( Kit_Sop_t * cSop, unsigned uCube, int i ) { cSop->pCubes[i] = uCube; }
+
+static inline Kit_Edge_t Kit_EdgeCreate( int Node, int fCompl ) { Kit_Edge_t eEdge = { fCompl, Node }; return eEdge; }
+static inline unsigned Kit_EdgeToInt( Kit_Edge_t eEdge ) { return (eEdge.Node << 1) | eEdge.fCompl; }
+static inline Kit_Edge_t Kit_IntToEdge( unsigned Edge ) { return Kit_EdgeCreate( Edge >> 1, Edge & 1 ); }
+static inline unsigned Kit_EdgeToInt_( Kit_Edge_t eEdge ) { return *(unsigned *)&eEdge; }
+static inline Kit_Edge_t Kit_IntToEdge_( unsigned Edge ) { return *(Kit_Edge_t *)&Edge; }
+
+static inline int Kit_GraphIsConst( Kit_Graph_t * pGraph ) { return pGraph->fConst; }
+static inline int Kit_GraphIsConst0( Kit_Graph_t * pGraph ) { return pGraph->fConst && pGraph->eRoot.fCompl; }
+static inline int Kit_GraphIsConst1( Kit_Graph_t * pGraph ) { return pGraph->fConst && !pGraph->eRoot.fCompl; }
+static inline int Kit_GraphIsComplement( Kit_Graph_t * pGraph ) { return pGraph->eRoot.fCompl; }
+static inline int Kit_GraphIsVar( Kit_Graph_t * pGraph ) { return pGraph->eRoot.Node < (unsigned)pGraph->nLeaves; }
+static inline void Kit_GraphComplement( Kit_Graph_t * pGraph ) { pGraph->eRoot.fCompl ^= 1; }
+static inline void Kit_GraphSetRoot( Kit_Graph_t * pGraph, Kit_Edge_t eRoot ) { pGraph->eRoot = eRoot; }
+static inline int Kit_GraphLeaveNum( Kit_Graph_t * pGraph ) { return pGraph->nLeaves; }
+static inline int Kit_GraphNodeNum( Kit_Graph_t * pGraph ) { return pGraph->nSize - pGraph->nLeaves; }
+static inline Kit_Node_t * Kit_GraphNode( Kit_Graph_t * pGraph, int i ) { return pGraph->pNodes + i; }
+static inline Kit_Node_t * Kit_GraphNodeLast( Kit_Graph_t * pGraph ) { return pGraph->pNodes + pGraph->nSize - 1; }
+static inline int Kit_GraphNodeInt( Kit_Graph_t * pGraph, Kit_Node_t * pNode ) { return pNode - pGraph->pNodes; }
+static inline int Kit_GraphNodeIsVar( Kit_Graph_t * pGraph, Kit_Node_t * pNode ) { return Kit_GraphNodeInt(pGraph,pNode) < pGraph->nLeaves; }
+static inline Kit_Node_t * Kit_GraphVar( Kit_Graph_t * pGraph ) { assert( Kit_GraphIsVar( pGraph ) ); return Kit_GraphNode( pGraph, pGraph->eRoot.Node ); }
+static inline int Kit_GraphVarInt( Kit_Graph_t * pGraph ) { assert( Kit_GraphIsVar( pGraph ) ); return Kit_GraphNodeInt( pGraph, Kit_GraphVar(pGraph) ); }
+static inline Kit_Node_t * Kit_GraphNodeFanin0( Kit_Graph_t * pGraph, Kit_Node_t * pNode ){ return Kit_GraphNodeIsVar(pGraph, pNode)? NULL : Kit_GraphNode(pGraph, pNode->eEdge0.Node); }
+static inline Kit_Node_t * Kit_GraphNodeFanin1( Kit_Graph_t * pGraph, Kit_Node_t * pNode ){ return Kit_GraphNodeIsVar(pGraph, pNode)? NULL : Kit_GraphNode(pGraph, pNode->eEdge1.Node); }
+static inline int Kit_GraphRootLevel( Kit_Graph_t * pGraph ) { return Kit_GraphNode(pGraph, pGraph->eRoot.Node)->Level; }
+
+static inline int Kit_Float2Int( float Val ) { return *((int *)&Val); }
+static inline float Kit_Int2Float( int Num ) { return *((float *)&Num); }
+static inline int Kit_BitWordNum( int nBits ) { return nBits/(8*sizeof(unsigned)) + ((nBits%(8*sizeof(unsigned))) > 0); }
+static inline int Kit_TruthWordNum( int nVars ) { return nVars <= 5 ? 1 : (1 << (nVars - 5)); }
+static inline unsigned Kit_BitMask( int nBits ) { assert( nBits <= 32 ); return ~((~(unsigned)0) << nBits); }
+
+static inline void Kit_TruthSetBit( unsigned * p, int Bit ) { p[Bit>>5] |= (1<<(Bit & 31)); }
+static inline void Kit_TruthXorBit( unsigned * p, int Bit ) { p[Bit>>5] ^= (1<<(Bit & 31)); }
+static inline int Kit_TruthHasBit( unsigned * p, int Bit ) { return (p[Bit>>5] & (1<<(Bit & 31))) > 0; }
+
+static inline int Kit_WordFindFirstBit( unsigned uWord )
+{
+ int i;
+ for ( i = 0; i < 32; i++ )
+ if ( uWord & (1 << i) )
+ return i;
+ return -1;
+}
+static inline int Kit_WordHasOneBit( unsigned uWord )
+{
+ return (uWord & (uWord - 1)) == 0;
+}
+static inline int Kit_WordCountOnes( unsigned uWord )
+{
+ uWord = (uWord & 0x55555555) + ((uWord>>1) & 0x55555555);
+ uWord = (uWord & 0x33333333) + ((uWord>>2) & 0x33333333);
+ uWord = (uWord & 0x0F0F0F0F) + ((uWord>>4) & 0x0F0F0F0F);
+ uWord = (uWord & 0x00FF00FF) + ((uWord>>8) & 0x00FF00FF);
+ return (uWord & 0x0000FFFF) + (uWord>>16);
+}
+static inline int Kit_TruthCountOnes( unsigned * pIn, int nVars )
+{
+ int w, Counter = 0;
+ for ( w = Kit_TruthWordNum(nVars)-1; w >= 0; w-- )
+ Counter += Kit_WordCountOnes(pIn[w]);
+ return Counter;
+}
+static inline int Kit_TruthFindFirstBit( unsigned * pIn, int nVars )
+{
+ int w;
+ for ( w = 0; w < Kit_TruthWordNum(nVars); w++ )
+ if ( pIn[w] )
+ return 32*w + Kit_WordFindFirstBit(pIn[w]);
+ return -1;
+}
+static inline int Kit_TruthFindFirstZero( unsigned * pIn, int nVars )
+{
+ int w;
+ for ( w = 0; w < Kit_TruthWordNum(nVars); w++ )
+ if ( ~pIn[w] )
+ return 32*w + Kit_WordFindFirstBit(~pIn[w]);
+ return -1;
+}
+static inline int Kit_TruthIsEqual( unsigned * pIn0, unsigned * pIn1, int nVars )
+{
+ int w;
+ for ( w = Kit_TruthWordNum(nVars)-1; w >= 0; w-- )
+ if ( pIn0[w] != pIn1[w] )
+ return 0;
+ return 1;
+}
+static inline int Kit_TruthIsOpposite( unsigned * pIn0, unsigned * pIn1, int nVars )
+{
+ int w;
+ for ( w = Kit_TruthWordNum(nVars)-1; w >= 0; w-- )
+ if ( pIn0[w] != ~pIn1[w] )
+ return 0;
+ return 1;
+}
+static inline int Kit_TruthIsEqualWithPhase( unsigned * pIn0, unsigned * pIn1, int nVars )
+{
+ int w;
+ if ( (pIn0[0] & 1) == (pIn1[0] & 1) )
+ {
+ for ( w = Kit_TruthWordNum(nVars)-1; w >= 0; w-- )
+ if ( pIn0[w] != pIn1[w] )
+ return 0;
+ }
+ else
+ {
+ for ( w = Kit_TruthWordNum(nVars)-1; w >= 0; w-- )
+ if ( pIn0[w] != ~pIn1[w] )
+ return 0;
+ }
+ return 1;
+}
+static inline int Kit_TruthIsConst0( unsigned * pIn, int nVars )
+{
+ int w;
+ for ( w = Kit_TruthWordNum(nVars)-1; w >= 0; w-- )
+ if ( pIn[w] )
+ return 0;
+ return 1;
+}
+static inline int Kit_TruthIsConst1( unsigned * pIn, int nVars )
+{
+ int w;
+ for ( w = Kit_TruthWordNum(nVars)-1; w >= 0; w-- )
+ if ( pIn[w] != ~(unsigned)0 )
+ return 0;
+ return 1;
+}
+static inline int Kit_TruthIsImply( unsigned * pIn1, unsigned * pIn2, int nVars )
+{
+ int w;
+ for ( w = Kit_TruthWordNum(nVars)-1; w >= 0; w-- )
+ if ( pIn1[w] & ~pIn2[w] )
+ return 0;
+ return 1;
+}
+static inline int Kit_TruthIsDisjoint( unsigned * pIn1, unsigned * pIn2, int nVars )
+{
+ int w;
+ for ( w = Kit_TruthWordNum(nVars)-1; w >= 0; w-- )
+ if ( pIn1[w] & pIn2[w] )
+ return 0;
+ return 1;
+}
+static inline int Kit_TruthIsDisjoint3( unsigned * pIn1, unsigned * pIn2, unsigned * pIn3, int nVars )
+{
+ int w;
+ for ( w = Kit_TruthWordNum(nVars)-1; w >= 0; w-- )
+ if ( pIn1[w] & pIn2[w] & pIn3[w] )
+ return 0;
+ return 1;
+}
+static inline void Kit_TruthCopy( unsigned * pOut, unsigned * pIn, int nVars )
+{
+ int w;
+ for ( w = Kit_TruthWordNum(nVars)-1; w >= 0; w-- )
+ pOut[w] = pIn[w];
+}
+static inline void Kit_TruthClear( unsigned * pOut, int nVars )
+{
+ int w;
+ for ( w = Kit_TruthWordNum(nVars)-1; w >= 0; w-- )
+ pOut[w] = 0;
+}
+static inline void Kit_TruthFill( unsigned * pOut, int nVars )
+{
+ int w;
+ for ( w = Kit_TruthWordNum(nVars)-1; w >= 0; w-- )
+ pOut[w] = ~(unsigned)0;
+}
+static inline void Kit_TruthNot( unsigned * pOut, unsigned * pIn, int nVars )
+{
+ int w;
+ for ( w = Kit_TruthWordNum(nVars)-1; w >= 0; w-- )
+ pOut[w] = ~pIn[w];
+}
+static inline void Kit_TruthAnd( unsigned * pOut, unsigned * pIn0, unsigned * pIn1, int nVars )
+{
+ int w;
+ for ( w = Kit_TruthWordNum(nVars)-1; w >= 0; w-- )
+ pOut[w] = pIn0[w] & pIn1[w];
+}
+static inline void Kit_TruthOr( unsigned * pOut, unsigned * pIn0, unsigned * pIn1, int nVars )
+{
+ int w;
+ for ( w = Kit_TruthWordNum(nVars)-1; w >= 0; w-- )
+ pOut[w] = pIn0[w] | pIn1[w];
+}
+static inline void Kit_TruthXor( unsigned * pOut, unsigned * pIn0, unsigned * pIn1, int nVars )
+{
+ int w;
+ for ( w = Kit_TruthWordNum(nVars)-1; w >= 0; w-- )
+ pOut[w] = pIn0[w] ^ pIn1[w];
+}
+static inline void Kit_TruthSharp( unsigned * pOut, unsigned * pIn0, unsigned * pIn1, int nVars )
+{
+ int w;
+ for ( w = Kit_TruthWordNum(nVars)-1; w >= 0; w-- )
+ pOut[w] = pIn0[w] & ~pIn1[w];
+}
+static inline void Kit_TruthNand( unsigned * pOut, unsigned * pIn0, unsigned * pIn1, int nVars )
+{
+ int w;
+ for ( w = Kit_TruthWordNum(nVars)-1; w >= 0; w-- )
+ pOut[w] = ~(pIn0[w] & pIn1[w]);
+}
+static inline void Kit_TruthAndPhase( unsigned * pOut, unsigned * pIn0, unsigned * pIn1, int nVars, int fCompl0, int fCompl1 )
+{
+ int w;
+ if ( fCompl0 && fCompl1 )
+ {
+ for ( w = Kit_TruthWordNum(nVars)-1; w >= 0; w-- )
+ pOut[w] = ~(pIn0[w] | pIn1[w]);
+ }
+ else if ( fCompl0 && !fCompl1 )
+ {
+ for ( w = Kit_TruthWordNum(nVars)-1; w >= 0; w-- )
+ pOut[w] = ~pIn0[w] & pIn1[w];
+ }
+ else if ( !fCompl0 && fCompl1 )
+ {
+ for ( w = Kit_TruthWordNum(nVars)-1; w >= 0; w-- )
+ pOut[w] = pIn0[w] & ~pIn1[w];
+ }
+ else // if ( !fCompl0 && !fCompl1 )
+ {
+ for ( w = Kit_TruthWordNum(nVars)-1; w >= 0; w-- )
+ pOut[w] = pIn0[w] & pIn1[w];
+ }
+}
+static inline void Kit_TruthMux( unsigned * pOut, unsigned * pIn0, unsigned * pIn1, unsigned * pCtrl, int nVars )
+{
+ int w;
+ for ( w = Kit_TruthWordNum(nVars)-1; w >= 0; w-- )
+ pOut[w] = (pIn0[w] & ~pCtrl[w]) | (pIn1[w] & pCtrl[w]);
+}
+static inline void Kit_TruthMuxPhase( unsigned * pOut, unsigned * pIn0, unsigned * pIn1, unsigned * pCtrl, int nVars, int fComp0 )
+{
+ int w;
+ if ( fComp0 )
+ for ( w = Kit_TruthWordNum(nVars)-1; w >= 0; w-- )
+ pOut[w] = (~pIn0[w] & ~pCtrl[w]) | (pIn1[w] & pCtrl[w]);
+ else
+ for ( w = Kit_TruthWordNum(nVars)-1; w >= 0; w-- )
+ pOut[w] = (pIn0[w] & ~pCtrl[w]) | (pIn1[w] & pCtrl[w]);
+}
+static inline void Kit_TruthIthVar( unsigned * pTruth, int nVars, int iVar )
+{
+ unsigned Masks[5] = { 0xAAAAAAAA, 0xCCCCCCCC, 0xF0F0F0F0, 0xFF00FF00, 0xFFFF0000 };
+ int k, nWords = (nVars <= 5 ? 1 : (1 << (nVars - 5)));
+ if ( iVar < 5 )
+ {
+ for ( k = 0; k < nWords; k++ )
+ pTruth[k] = Masks[iVar];
+ }
+ else
+ {
+ for ( k = 0; k < nWords; k++ )
+ if ( k & (1 << (iVar-5)) )
+ pTruth[k] = ~(unsigned)0;
+ else
+ pTruth[k] = 0;
+ }
+}
+
+
+////////////////////////////////////////////////////////////////////////
+/// ITERATORS ///
+////////////////////////////////////////////////////////////////////////
+
+#define Kit_SopForEachCube( cSop, uCube, i ) \
+ for ( i = 0; (i < Kit_SopCubeNum(cSop)) && ((uCube) = Kit_SopCube(cSop, i)); i++ )
+#define Kit_CubeForEachLiteral( uCube, Lit, nLits, i ) \
+ for ( i = 0; (i < (nLits)) && ((Lit) = Kit_CubeHasLit(uCube, i)); i++ )
+
+#define Kit_GraphForEachLeaf( pGraph, pLeaf, i ) \
+ for ( i = 0; (i < (pGraph)->nLeaves) && (((pLeaf) = Kit_GraphNode(pGraph, i)), 1); i++ )
+#define Kit_GraphForEachNode( pGraph, pAnd, i ) \
+ for ( i = (pGraph)->nLeaves; (i < (pGraph)->nSize) && (((pAnd) = Kit_GraphNode(pGraph, i)), 1); i++ )
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/*=== kitBdd.c ==========================================================*/
+extern DdNode * Kit_SopToBdd( DdManager * dd, Kit_Sop_t * cSop, int nVars );
+extern DdNode * Kit_GraphToBdd( DdManager * dd, Kit_Graph_t * pGraph );
+extern DdNode * Kit_TruthToBdd( DdManager * dd, unsigned * pTruth, int nVars, int fMSBonTop );
+/*=== kitCloud.c ==========================================================*/
+extern CloudNode * Kit_TruthToCloud( CloudManager * dd, unsigned * pTruth, int nVars );
+extern unsigned * Kit_CloudToTruth( Vec_Int_t * vNodes, int nVars, Vec_Ptr_t * vStore, int fInv );
+extern int Kit_CreateCloud( CloudManager * dd, CloudNode * pFunc, Vec_Int_t * vNodes );
+extern int Kit_CreateCloudFromTruth( CloudManager * dd, unsigned * pTruth, int nVars, Vec_Int_t * vNodes );
+extern unsigned * Kit_TruthCompose( CloudManager * dd, unsigned * pTruth, int nVars, unsigned ** pInputs, int nVarsAll, Vec_Ptr_t * vStore, Vec_Int_t * vNodes );
+extern void Kit_TruthCofSupports( Vec_Int_t * vBddDir, Vec_Int_t * vBddInv, int nVars, Vec_Int_t * vMemory, unsigned * puSupps );
+/*=== kitDsd.c ==========================================================*/
+extern Kit_DsdMan_t * Kit_DsdManAlloc( int nVars, int nNodes );
+extern void Kit_DsdManFree( Kit_DsdMan_t * p );
+extern Kit_DsdNtk_t * Kit_DsdDeriveNtk( unsigned * pTruth, int nVars, int nLutSize );
+extern unsigned * Kit_DsdTruthCompute( Kit_DsdMan_t * p, Kit_DsdNtk_t * pNtk );
+extern void Kit_DsdTruth( Kit_DsdNtk_t * pNtk, unsigned * pTruthRes );
+extern void Kit_DsdTruthPartial( Kit_DsdMan_t * p, Kit_DsdNtk_t * pNtk, unsigned * pTruthRes, unsigned uSupp );
+extern void Kit_DsdTruthPartialTwo( Kit_DsdMan_t * p, Kit_DsdNtk_t * pNtk, unsigned uSupp, int iVar, unsigned * pTruthCo, unsigned * pTruthDec );
+extern void Kit_DsdPrint( FILE * pFile, Kit_DsdNtk_t * pNtk );
+extern void Kit_DsdPrintExpanded( Kit_DsdNtk_t * pNtk );
+extern void Kit_DsdPrintFromTruth( unsigned * pTruth, int nVars );
+extern Kit_DsdNtk_t * Kit_DsdDecompose( unsigned * pTruth, int nVars );
+extern Kit_DsdNtk_t * Kit_DsdDecomposeExpand( unsigned * pTruth, int nVars );
+extern Kit_DsdNtk_t * Kit_DsdDecomposeMux( unsigned * pTruth, int nVars, int nDecMux );
+extern void Kit_DsdVerify( Kit_DsdNtk_t * pNtk, unsigned * pTruth, int nVars );
+extern void Kit_DsdNtkFree( Kit_DsdNtk_t * pNtk );
+extern int Kit_DsdNonDsdSizeMax( Kit_DsdNtk_t * pNtk );
+extern unsigned Kit_DsdNonDsdSupports( Kit_DsdNtk_t * pNtk );
+extern unsigned Kit_DsdGetSupports( Kit_DsdNtk_t * p );
+extern Kit_DsdNtk_t * Kit_DsdExpand( Kit_DsdNtk_t * p );
+extern Kit_DsdNtk_t * Kit_DsdShrink( Kit_DsdNtk_t * p, int pPrios[] );
+extern void Kit_DsdRotate( Kit_DsdNtk_t * p, int pFreqs[] );
+extern int Kit_DsdCofactoring( unsigned * pTruth, int nVars, int * pCofVars, int nLimit, int fVerbose );
+/*=== kitFactor.c ==========================================================*/
+extern Kit_Graph_t * Kit_SopFactor( Vec_Int_t * vCover, int fCompl, int nVars, Vec_Int_t * vMemory );
+/*=== kitGraph.c ==========================================================*/
+extern Kit_Graph_t * Kit_GraphCreate( int nLeaves );
+extern Kit_Graph_t * Kit_GraphCreateConst0();
+extern Kit_Graph_t * Kit_GraphCreateConst1();
+extern Kit_Graph_t * Kit_GraphCreateLeaf( int iLeaf, int nLeaves, int fCompl );
+extern void Kit_GraphFree( Kit_Graph_t * pGraph );
+extern Kit_Node_t * Kit_GraphAppendNode( Kit_Graph_t * pGraph );
+extern Kit_Edge_t Kit_GraphAddNodeAnd( Kit_Graph_t * pGraph, Kit_Edge_t eEdge0, Kit_Edge_t eEdge1 );
+extern Kit_Edge_t Kit_GraphAddNodeOr( Kit_Graph_t * pGraph, Kit_Edge_t eEdge0, Kit_Edge_t eEdge1 );
+extern Kit_Edge_t Kit_GraphAddNodeXor( Kit_Graph_t * pGraph, Kit_Edge_t eEdge0, Kit_Edge_t eEdge1, int Type );
+extern Kit_Edge_t Kit_GraphAddNodeMux( Kit_Graph_t * pGraph, Kit_Edge_t eEdgeC, Kit_Edge_t eEdgeT, Kit_Edge_t eEdgeE, int Type );
+extern unsigned Kit_GraphToTruth( Kit_Graph_t * pGraph );
+extern Kit_Graph_t * Kit_TruthToGraph( unsigned * pTruth, int nVars, Vec_Int_t * vMemory );
+extern int Kit_GraphLeafDepth_rec( Kit_Graph_t * pGraph, Kit_Node_t * pNode, Kit_Node_t * pLeaf );
+/*=== kitHop.c ==========================================================*/
+//extern Hop_Obj_t * Kit_GraphToHop( Hop_Man_t * pMan, Kit_Graph_t * pGraph );
+//extern Hop_Obj_t * Kit_TruthToHop( Hop_Man_t * pMan, unsigned * pTruth, int nVars, Vec_Int_t * vMemory );
+//extern Hop_Obj_t * Kit_CoverToHop( Hop_Man_t * pMan, Vec_Int_t * vCover, int nVars, Vec_Int_t * vMemory );
+/*=== kitIsop.c ==========================================================*/
+extern int Kit_TruthIsop( unsigned * puTruth, int nVars, Vec_Int_t * vMemory, int fTryBoth );
+/*=== kitSop.c ==========================================================*/
+extern void Kit_SopCreate( Kit_Sop_t * cResult, Vec_Int_t * vInput, int nVars, Vec_Int_t * vMemory );
+extern void Kit_SopCreateInverse( Kit_Sop_t * cResult, Vec_Int_t * vInput, int nVars, Vec_Int_t * vMemory );
+extern void Kit_SopDup( Kit_Sop_t * cResult, Kit_Sop_t * cSop, Vec_Int_t * vMemory );
+extern void Kit_SopDivideByLiteralQuo( Kit_Sop_t * cSop, int iLit );
+extern void Kit_SopDivideByCube( Kit_Sop_t * cSop, Kit_Sop_t * cDiv, Kit_Sop_t * vQuo, Kit_Sop_t * vRem, Vec_Int_t * vMemory );
+extern void Kit_SopDivideInternal( Kit_Sop_t * cSop, Kit_Sop_t * cDiv, Kit_Sop_t * vQuo, Kit_Sop_t * vRem, Vec_Int_t * vMemory );
+extern void Kit_SopMakeCubeFree( Kit_Sop_t * cSop );
+extern int Kit_SopIsCubeFree( Kit_Sop_t * cSop );
+extern void Kit_SopCommonCubeCover( Kit_Sop_t * cResult, Kit_Sop_t * cSop, Vec_Int_t * vMemory );
+extern int Kit_SopAnyLiteral( Kit_Sop_t * cSop, int nLits );
+extern int Kit_SopDivisor( Kit_Sop_t * cResult, Kit_Sop_t * cSop, int nLits, Vec_Int_t * vMemory );
+extern void Kit_SopBestLiteralCover( Kit_Sop_t * cResult, Kit_Sop_t * cSop, unsigned uCube, int nLits, Vec_Int_t * vMemory );
+/*=== kitTruth.c ==========================================================*/
+extern void Kit_TruthSwapAdjacentVars( unsigned * pOut, unsigned * pIn, int nVars, int Start );
+extern void Kit_TruthStretch( unsigned * pOut, unsigned * pIn, int nVars, int nVarsAll, unsigned Phase, int fReturnIn );
+extern void Kit_TruthShrink( unsigned * pOut, unsigned * pIn, int nVars, int nVarsAll, unsigned Phase, int fReturnIn );
+extern int Kit_TruthVarInSupport( unsigned * pTruth, int nVars, int iVar );
+extern int Kit_TruthSupportSize( unsigned * pTruth, int nVars );
+extern unsigned Kit_TruthSupport( unsigned * pTruth, int nVars );
+extern void Kit_TruthCofactor0( unsigned * pTruth, int nVars, int iVar );
+extern void Kit_TruthCofactor1( unsigned * pTruth, int nVars, int iVar );
+extern void Kit_TruthCofactor0New( unsigned * pOut, unsigned * pIn, int nVars, int iVar );
+extern void Kit_TruthCofactor1New( unsigned * pOut, unsigned * pIn, int nVars, int iVar );
+extern void Kit_TruthExist( unsigned * pTruth, int nVars, int iVar );
+extern void Kit_TruthExistNew( unsigned * pRes, unsigned * pTruth, int nVars, int iVar );
+extern void Kit_TruthExistSet( unsigned * pRes, unsigned * pTruth, int nVars, unsigned uMask );
+extern void Kit_TruthForall( unsigned * pTruth, int nVars, int iVar );
+extern void Kit_TruthForallNew( unsigned * pRes, unsigned * pTruth, int nVars, int iVar );
+extern void Kit_TruthForallSet( unsigned * pRes, unsigned * pTruth, int nVars, unsigned uMask );
+extern void Kit_TruthUniqueNew( unsigned * pRes, unsigned * pTruth, int nVars, int iVar );
+extern void Kit_TruthMuxVar( unsigned * pOut, unsigned * pCof0, unsigned * pCof1, int nVars, int iVar );
+extern void Kit_TruthMuxVarPhase( unsigned * pOut, unsigned * pCof0, unsigned * pCof1, int nVars, int iVar, int fCompl0 );
+extern void Kit_TruthChangePhase( unsigned * pTruth, int nVars, int iVar );
+extern int Kit_TruthMinCofSuppOverlap( unsigned * pTruth, int nVars, int * pVarMin );
+extern int Kit_TruthBestCofVar( unsigned * pTruth, int nVars, unsigned * pCof0, unsigned * pCof1 );
+extern void Kit_TruthCountOnesInCofs( unsigned * pTruth, int nVars, short * pStore );
+extern void Kit_TruthCountOnesInCofsSlow( unsigned * pTruth, int nVars, short * pStore, unsigned * pAux );
+extern unsigned Kit_TruthHash( unsigned * pIn, int nWords );
+extern unsigned Kit_TruthSemiCanonicize( unsigned * pInOut, unsigned * pAux, int nVars, char * pCanonPerm, short * pStore );
+extern char * Kit_TruthDumpToFile( unsigned * pTruth, int nVars, int nFile );
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
diff --git a/src/aig/kit/kitAig.c b/src/aig/kit/kitAig.c
new file mode 100644
index 00000000..83012a8c
--- /dev/null
+++ b/src/aig/kit/kitAig.c
@@ -0,0 +1,121 @@
+/**CFile****************************************************************
+
+ FileName [kitAig.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [Computation kit.]
+
+ Synopsis [Procedures involving AIGs.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - Dec 6, 2006.]
+
+ Revision [$Id: kitAig.c,v 1.00 2006/12/06 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "kit.h"
+#include "aig.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Transforms the decomposition graph into the AIG.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Obj_t * Kit_GraphToAigInternal( Aig_Man_t * pMan, Kit_Graph_t * pGraph )
+{
+ Kit_Node_t * pNode = NULL;
+ Aig_Obj_t * pAnd0, * pAnd1;
+ int i;
+ // check for constant function
+ if ( Kit_GraphIsConst(pGraph) )
+ return Aig_NotCond( Aig_ManConst1(pMan), Kit_GraphIsComplement(pGraph) );
+ // check for a literal
+ if ( Kit_GraphIsVar(pGraph) )
+ return Aig_NotCond( Kit_GraphVar(pGraph)->pFunc, Kit_GraphIsComplement(pGraph) );
+ // build the AIG nodes corresponding to the AND gates of the graph
+ Kit_GraphForEachNode( pGraph, pNode, i )
+ {
+ pAnd0 = Aig_NotCond( Kit_GraphNode(pGraph, pNode->eEdge0.Node)->pFunc, pNode->eEdge0.fCompl );
+ pAnd1 = Aig_NotCond( Kit_GraphNode(pGraph, pNode->eEdge1.Node)->pFunc, pNode->eEdge1.fCompl );
+ pNode->pFunc = Aig_And( pMan, pAnd0, pAnd1 );
+ }
+ // complement the result if necessary
+ return Aig_NotCond( pNode->pFunc, Kit_GraphIsComplement(pGraph) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Strashes one logic node using its SOP.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Obj_t * Kit_GraphToAig( Aig_Man_t * pMan, Aig_Obj_t ** pFanins, Kit_Graph_t * pGraph )
+{
+ Kit_Node_t * pNode = NULL;
+ int i;
+ // collect the fanins
+ Kit_GraphForEachLeaf( pGraph, pNode, i )
+ pNode->pFunc = pFanins[i];
+ // perform strashing
+ return Kit_GraphToAigInternal( pMan, pGraph );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Strashed onen logic nodes using its truth table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Obj_t * Kit_TruthToAig( Aig_Man_t * pMan, Aig_Obj_t ** pFanins, unsigned * pTruth, int nVars, Vec_Int_t * vMemory )
+{
+ Aig_Obj_t * pObj;
+ Kit_Graph_t * pGraph;
+ // transform truth table into the decomposition tree
+ if ( vMemory == NULL )
+ {
+ vMemory = Vec_IntAlloc( 0 );
+ pGraph = Kit_TruthToGraph( pTruth, nVars, vMemory );
+ Vec_IntFree( vMemory );
+ }
+ else
+ pGraph = Kit_TruthToGraph( pTruth, nVars, vMemory );
+ // derive the AIG for the decomposition tree
+ pObj = Kit_GraphToAig( pMan, pFanins, pGraph );
+ Kit_GraphFree( pGraph );
+ return pObj;
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/kit/kitBdd.c b/src/aig/kit/kitBdd.c
new file mode 100644
index 00000000..9c8d4f7a
--- /dev/null
+++ b/src/aig/kit/kitBdd.c
@@ -0,0 +1,231 @@
+/**CFile****************************************************************
+
+ FileName [kitBdd.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [Computation kit.]
+
+ Synopsis [Procedures involving BDDs.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - Dec 6, 2006.]
+
+ Revision [$Id: kitBdd.c,v 1.00 2006/12/06 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "kit.h"
+#include "extra.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Derives the BDD for the given SOP.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+DdNode * Kit_SopToBdd( DdManager * dd, Kit_Sop_t * cSop, int nVars )
+{
+ DdNode * bSum, * bCube, * bTemp, * bVar;
+ unsigned uCube;
+ int Value, i, v;
+ assert( nVars < 16 );
+ // start the cover
+ bSum = Cudd_ReadLogicZero(dd); Cudd_Ref( bSum );
+ // check the logic function of the node
+ Kit_SopForEachCube( cSop, uCube, i )
+ {
+ bCube = Cudd_ReadOne(dd); Cudd_Ref( bCube );
+ for ( v = 0; v < nVars; v++ )
+ {
+ Value = ((uCube >> 2*v) & 3);
+ if ( Value == 1 )
+ bVar = Cudd_Not( Cudd_bddIthVar( dd, v ) );
+ else if ( Value == 2 )
+ bVar = Cudd_bddIthVar( dd, v );
+ else
+ continue;
+ bCube = Cudd_bddAnd( dd, bTemp = bCube, bVar ); Cudd_Ref( bCube );
+ Cudd_RecursiveDeref( dd, bTemp );
+ }
+ bSum = Cudd_bddOr( dd, bTemp = bSum, bCube );
+ Cudd_Ref( bSum );
+ Cudd_RecursiveDeref( dd, bTemp );
+ Cudd_RecursiveDeref( dd, bCube );
+ }
+ // complement the result if necessary
+ Cudd_Deref( bSum );
+ return bSum;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Converts graph to BDD.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+DdNode * Kit_GraphToBdd( DdManager * dd, Kit_Graph_t * pGraph )
+{
+ DdNode * bFunc, * bFunc0, * bFunc1;
+ Kit_Node_t * pNode;
+ int i;
+
+ // sanity checks
+ assert( Kit_GraphLeaveNum(pGraph) >= 0 );
+ assert( Kit_GraphLeaveNum(pGraph) <= pGraph->nSize );
+
+ // check for constant function
+ if ( Kit_GraphIsConst(pGraph) )
+ return Cudd_NotCond( b1, Kit_GraphIsComplement(pGraph) );
+ // check for a literal
+ if ( Kit_GraphIsVar(pGraph) )
+ return Cudd_NotCond( Cudd_bddIthVar(dd, Kit_GraphVarInt(pGraph)), Kit_GraphIsComplement(pGraph) );
+
+ // assign the elementary variables
+ Kit_GraphForEachLeaf( pGraph, pNode, i )
+ pNode->pFunc = Cudd_bddIthVar( dd, i );
+
+ // compute the function for each internal node
+ Kit_GraphForEachNode( pGraph, pNode, i )
+ {
+ bFunc0 = Cudd_NotCond( Kit_GraphNode(pGraph, pNode->eEdge0.Node)->pFunc, pNode->eEdge0.fCompl );
+ bFunc1 = Cudd_NotCond( Kit_GraphNode(pGraph, pNode->eEdge1.Node)->pFunc, pNode->eEdge1.fCompl );
+ pNode->pFunc = Cudd_bddAnd( dd, bFunc0, bFunc1 ); Cudd_Ref( pNode->pFunc );
+ }
+
+ // deref the intermediate results
+ bFunc = pNode->pFunc; Cudd_Ref( bFunc );
+ Kit_GraphForEachNode( pGraph, pNode, i )
+ Cudd_RecursiveDeref( dd, pNode->pFunc );
+ Cudd_Deref( bFunc );
+
+ // complement the result if necessary
+ return Cudd_NotCond( bFunc, Kit_GraphIsComplement(pGraph) );
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+DdNode * Kit_TruthToBdd_rec( DdManager * dd, unsigned * pTruth, int iBit, int nVars, int nVarsTotal, int fMSBonTop )
+{
+ DdNode * bF0, * bF1, * bF;
+ int Var;
+ if ( nVars <= 5 )
+ {
+ unsigned uTruth, uMask;
+ uMask = ((~(unsigned)0) >> (32 - (1<<nVars)));
+ uTruth = (pTruth[iBit>>5] >> (iBit&31)) & uMask;
+ if ( uTruth == 0 )
+ return b0;
+ if ( uTruth == uMask )
+ return b1;
+ }
+ // find the variable to use
+ Var = fMSBonTop? nVarsTotal-nVars : nVars-1;
+ // other special cases can be added
+ bF0 = Kit_TruthToBdd_rec( dd, pTruth, iBit, nVars-1, nVarsTotal, fMSBonTop ); Cudd_Ref( bF0 );
+ bF1 = Kit_TruthToBdd_rec( dd, pTruth, iBit+(1<<(nVars-1)), nVars-1, nVarsTotal, fMSBonTop ); Cudd_Ref( bF1 );
+ bF = Cudd_bddIte( dd, dd->vars[Var], bF1, bF0 ); Cudd_Ref( bF );
+ Cudd_RecursiveDeref( dd, bF0 );
+ Cudd_RecursiveDeref( dd, bF1 );
+ Cudd_Deref( bF );
+ return bF;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Compute BDD corresponding to the truth table.]
+
+ Description [If truth table has N vars, the BDD depends on N topmost
+ variables of the BDD manager. The most significant variable of the table
+ is encoded by the topmost variable of the manager. BDD construction is
+ efficient in this case because BDD is constructed one node at a time,
+ by simply adding BDD nodes on top of existent BDD nodes.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+DdNode * Kit_TruthToBdd( DdManager * dd, unsigned * pTruth, int nVars, int fMSBonTop )
+{
+ return Kit_TruthToBdd_rec( dd, pTruth, 0, nVars, nVars, fMSBonTop );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Verifies that the factoring is correct.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Kit_SopFactorVerify( Vec_Int_t * vCover, Kit_Graph_t * pFForm, int nVars )
+{
+ static DdManager * dd = NULL;
+ Kit_Sop_t Sop, * cSop = &Sop;
+ DdNode * bFunc1, * bFunc2;
+ Vec_Int_t * vMemory;
+ int RetValue;
+ // get the manager
+ if ( dd == NULL )
+ dd = Cudd_Init( 16, 0, CUDD_UNIQUE_SLOTS, CUDD_CACHE_SLOTS, 0 );
+ // derive SOP
+ vMemory = Vec_IntAlloc( Vec_IntSize(vCover) );
+ Kit_SopCreate( cSop, vCover, nVars, vMemory );
+ // get the functions
+ bFunc1 = Kit_SopToBdd( dd, cSop, nVars ); Cudd_Ref( bFunc1 );
+ bFunc2 = Kit_GraphToBdd( dd, pFForm ); Cudd_Ref( bFunc2 );
+//Extra_bddPrint( dd, bFunc1 ); printf("\n");
+//Extra_bddPrint( dd, bFunc2 ); printf("\n");
+ RetValue = (bFunc1 == bFunc2);
+ if ( bFunc1 != bFunc2 )
+ {
+ int s;
+ Extra_bddPrint( dd, bFunc1 ); printf("\n");
+ Extra_bddPrint( dd, bFunc2 ); printf("\n");
+ s = 0;
+ }
+ Cudd_RecursiveDeref( dd, bFunc1 );
+ Cudd_RecursiveDeref( dd, bFunc2 );
+ Vec_IntFree( vMemory );
+ return RetValue;
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/kit/kitCloud.c b/src/aig/kit/kitCloud.c
new file mode 100644
index 00000000..7b160fea
--- /dev/null
+++ b/src/aig/kit/kitCloud.c
@@ -0,0 +1,368 @@
+/**CFile****************************************************************
+
+ FileName [kitCloud.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [Computation kit.]
+
+ Synopsis [Procedures using BDD package CLOUD.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - Dec 6, 2006.]
+
+ Revision [$Id: kitCloud.c,v 1.00 2006/12/06 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "kit.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+// internal representation of the function to be decomposed
+typedef struct Kit_Mux_t_ Kit_Mux_t;
+struct Kit_Mux_t_
+{
+ unsigned v : 5; // variable
+ unsigned t : 12; // then edge
+ unsigned e : 12; // else edge
+ unsigned c : 1; // complemented attr of else edge
+ unsigned i : 1; // complemented attr of top node
+};
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Derive BDD from the truth table for 5 variable functions.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+CloudNode * Kit_TruthToCloud5_rec( CloudManager * dd, unsigned uTruth, int nVars, int nVarsAll )
+{
+ static unsigned uVars[5] = { 0xAAAAAAAA, 0xCCCCCCCC, 0xF0F0F0F0, 0xFF00FF00, 0xFFFF0000 };
+ CloudNode * pCof0, * pCof1;
+ unsigned uCof0, uCof1;
+ assert( nVars <= 5 );
+ if ( uTruth == 0 )
+ return dd->zero;
+ if ( uTruth == ~0 )
+ return dd->one;
+ if ( nVars == 1 )
+ {
+ if ( uTruth == uVars[0] )
+ return dd->vars[nVarsAll-1];
+ if ( uTruth == ~uVars[0] )
+ return Cloud_Not(dd->vars[nVarsAll-1]);
+ assert( 0 );
+ }
+// Count++;
+ assert( nVars > 1 );
+ uCof0 = uTruth & ~uVars[nVars-1];
+ uCof1 = uTruth & uVars[nVars-1];
+ uCof0 |= uCof0 << (1<<(nVars-1));
+ uCof1 |= uCof1 >> (1<<(nVars-1));
+ if ( uCof0 == uCof1 )
+ return Kit_TruthToCloud5_rec( dd, uCof0, nVars - 1, nVarsAll );
+ if ( uCof0 == ~uCof1 )
+ {
+ pCof0 = Kit_TruthToCloud5_rec( dd, uCof0, nVars - 1, nVarsAll );
+ pCof1 = Cloud_Not( pCof0 );
+ }
+ else
+ {
+ pCof0 = Kit_TruthToCloud5_rec( dd, uCof0, nVars - 1, nVarsAll );
+ pCof1 = Kit_TruthToCloud5_rec( dd, uCof1, nVars - 1, nVarsAll );
+ }
+ return Cloud_MakeNode( dd, nVarsAll - nVars, pCof1, pCof0 );
+}
+
+/**Function********************************************************************
+
+ Synopsis [Compute BDD for the truth table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+******************************************************************************/
+CloudNode * Kit_TruthToCloud_rec( CloudManager * dd, unsigned * pTruth, int nVars, int nVarsAll )
+{
+ CloudNode * pCof0, * pCof1;
+ unsigned * pTruth0, * pTruth1;
+ if ( nVars <= 5 )
+ return Kit_TruthToCloud5_rec( dd, pTruth[0], nVars, nVarsAll );
+ if ( Kit_TruthIsConst0(pTruth, nVars) )
+ return dd->zero;
+ if ( Kit_TruthIsConst1(pTruth, nVars) )
+ return dd->one;
+// Count++;
+ pTruth0 = pTruth;
+ pTruth1 = pTruth + Kit_TruthWordNum(nVars-1);
+ if ( Kit_TruthIsEqual( pTruth0, pTruth1, nVars - 1 ) )
+ return Kit_TruthToCloud_rec( dd, pTruth0, nVars - 1, nVarsAll );
+ if ( Kit_TruthIsOpposite( pTruth0, pTruth1, nVars - 1 ) )
+ {
+ pCof0 = Kit_TruthToCloud_rec( dd, pTruth0, nVars - 1, nVarsAll );
+ pCof1 = Cloud_Not( pCof0 );
+ }
+ else
+ {
+ pCof0 = Kit_TruthToCloud_rec( dd, pTruth0, nVars - 1, nVarsAll );
+ pCof1 = Kit_TruthToCloud_rec( dd, pTruth1, nVars - 1, nVarsAll );
+ }
+ return Cloud_MakeNode( dd, nVarsAll - nVars, pCof1, pCof0 );
+}
+
+/**Function********************************************************************
+
+ Synopsis [Compute BDD for the truth table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+******************************************************************************/
+CloudNode * Kit_TruthToCloud( CloudManager * dd, unsigned * pTruth, int nVars )
+{
+ CloudNode * pRes;
+ pRes = Kit_TruthToCloud_rec( dd, pTruth, nVars, nVars );
+// printf( "%d/%d ", Count, Cloud_DagSize(dd, pRes) );
+ return pRes;
+}
+
+/**Function********************************************************************
+
+ Synopsis [Transforms the array of BDDs into the integer array.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+******************************************************************************/
+int Kit_CreateCloud( CloudManager * dd, CloudNode * pFunc, Vec_Int_t * vNodes )
+{
+ Kit_Mux_t Mux;
+ int nNodes, i;
+ // collect BDD nodes
+ nNodes = Cloud_DagCollect( dd, pFunc );
+ if ( nNodes >= (1<<12) ) // because in Kit_Mux_t edge is 12 bit
+ return 0;
+ assert( nNodes == Cloud_DagSize( dd, pFunc ) );
+ assert( nNodes < dd->nNodesLimit );
+ Vec_IntClear( vNodes );
+ Vec_IntPush( vNodes, 0 ); // const1 node
+ dd->ppNodes[0]->s = 0;
+ for ( i = 1; i < nNodes; i++ )
+ {
+ dd->ppNodes[i]->s = i;
+ Mux.v = dd->ppNodes[i]->v;
+ Mux.t = dd->ppNodes[i]->t->s;
+ Mux.e = Cloud_Regular(dd->ppNodes[i]->e)->s;
+ Mux.c = Cloud_IsComplement(dd->ppNodes[i]->e);
+ Mux.i = (i == nNodes - 1)? Cloud_IsComplement(pFunc) : 0;
+ // put the MUX into the array
+ Vec_IntPush( vNodes, *((int *)&Mux) );
+ }
+ assert( Vec_IntSize(vNodes) == nNodes );
+ // reset signatures
+ for ( i = 0; i < nNodes; i++ )
+ dd->ppNodes[i]->s = dd->nSignCur;
+ return 1;
+}
+
+/**Function********************************************************************
+
+ Synopsis [Transforms the array of BDDs into the integer array.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+******************************************************************************/
+int Kit_CreateCloudFromTruth( CloudManager * dd, unsigned * pTruth, int nVars, Vec_Int_t * vNodes )
+{
+ CloudNode * pFunc;
+ Cloud_Restart( dd );
+ pFunc = Kit_TruthToCloud( dd, pTruth, nVars );
+ Vec_IntClear( vNodes );
+ return Kit_CreateCloud( dd, pFunc, vNodes );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes composition of truth tables.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+unsigned * Kit_CloudToTruth( Vec_Int_t * vNodes, int nVars, Vec_Ptr_t * vStore, int fInv )
+{
+ unsigned * pThis, * pFan0, * pFan1;
+ Kit_Mux_t Mux;
+ int i, Entry;
+ assert( Vec_IntSize(vNodes) <= Vec_PtrSize(vStore) );
+ pThis = Vec_PtrEntry( vStore, 0 );
+ Kit_TruthFill( pThis, nVars );
+ Vec_IntForEachEntryStart( vNodes, Entry, i, 1 )
+ {
+ Mux = *((Kit_Mux_t *)&Entry);
+ assert( (int)Mux.e < i && (int)Mux.t < i && (int)Mux.v < nVars );
+ pFan0 = Vec_PtrEntry( vStore, Mux.e );
+ pFan1 = Vec_PtrEntry( vStore, Mux.t );
+ pThis = Vec_PtrEntry( vStore, i );
+ Kit_TruthMuxVarPhase( pThis, pFan0, pFan1, nVars, fInv? Mux.v : nVars-1-Mux.v, Mux.c );
+ }
+ // complement the result
+ if ( Mux.i )
+ Kit_TruthNot( pThis, pThis, nVars );
+ return pThis;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes composition of truth tables.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+unsigned * Kit_TruthCompose( CloudManager * dd, unsigned * pTruth, int nVars,
+ unsigned ** pInputs, int nVarsAll, Vec_Ptr_t * vStore, Vec_Int_t * vNodes )
+{
+ CloudNode * pFunc;
+ unsigned * pThis, * pFan0, * pFan1;
+ Kit_Mux_t Mux;
+ int i, Entry, RetValue;
+ // derive BDD from truth table
+ Cloud_Restart( dd );
+ pFunc = Kit_TruthToCloud( dd, pTruth, nVars );
+ // convert it into nodes
+ RetValue = Kit_CreateCloud( dd, pFunc, vNodes );
+ if ( RetValue == 0 )
+ printf( "Kit_TruthCompose(): Internal failure!!!\n" );
+ // verify the result
+// pFan0 = Kit_CloudToTruth( vNodes, nVars, vStore, 0 );
+// if ( !Kit_TruthIsEqual( pTruth, pFan0, nVars ) )
+// printf( "Failed!\n" );
+ // compute truth table from the BDD
+ assert( Vec_IntSize(vNodes) <= Vec_PtrSize(vStore) );
+ pThis = Vec_PtrEntry( vStore, 0 );
+ Kit_TruthFill( pThis, nVarsAll );
+ Vec_IntForEachEntryStart( vNodes, Entry, i, 1 )
+ {
+ Mux = *((Kit_Mux_t *)&Entry);
+ pFan0 = Vec_PtrEntry( vStore, Mux.e );
+ pFan1 = Vec_PtrEntry( vStore, Mux.t );
+ pThis = Vec_PtrEntry( vStore, i );
+ Kit_TruthMuxPhase( pThis, pFan0, pFan1, pInputs[nVars-1-Mux.v], nVarsAll, Mux.c );
+ }
+ // complement the result
+ if ( Mux.i )
+ Kit_TruthNot( pThis, pThis, nVarsAll );
+ return pThis;
+}
+
+/**Function********************************************************************
+
+ Synopsis [Compute BDD for the truth table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+******************************************************************************/
+void Kit_TruthCofSupports( Vec_Int_t * vBddDir, Vec_Int_t * vBddInv, int nVars, Vec_Int_t * vMemory, unsigned * puSupps )
+{
+ Kit_Mux_t Mux;
+ unsigned * puSuppAll, * pThis, * pFan0, * pFan1;
+ int i, v, Var, Entry, nSupps;
+ nSupps = 2 * nVars;
+
+ // extend storage
+ if ( Vec_IntSize( vMemory ) < nSupps * Vec_IntSize(vBddDir) )
+ Vec_IntGrow( vMemory, nSupps * Vec_IntSize(vBddDir) );
+ puSuppAll = Vec_IntArray( vMemory );
+ // clear storage for the const node
+ memset( puSuppAll, 0, sizeof(unsigned) * nSupps );
+ // compute supports from nodes
+ Vec_IntForEachEntryStart( vBddDir, Entry, i, 1 )
+ {
+ Mux = *((Kit_Mux_t *)&Entry);
+ Var = nVars - 1 - Mux.v;
+ pFan0 = puSuppAll + nSupps * Mux.e;
+ pFan1 = puSuppAll + nSupps * Mux.t;
+ pThis = puSuppAll + nSupps * i;
+ for ( v = 0; v < nSupps; v++ )
+ pThis[v] = pFan0[v] | pFan1[v] | (1<<Var);
+ assert( pFan0[2*Var + 0] == pFan0[2*Var + 1] );
+ assert( pFan1[2*Var + 0] == pFan1[2*Var + 1] );
+ pThis[2*Var + 0] = pFan0[2*Var + 0];// | pFan0[2*Var + 1];
+ pThis[2*Var + 1] = pFan1[2*Var + 0];// | pFan1[2*Var + 1];
+ }
+ // copy the result
+ memcpy( puSupps, pThis, sizeof(unsigned) * nSupps );
+ // compute the inverse
+
+ // extend storage
+ if ( Vec_IntSize( vMemory ) < nSupps * Vec_IntSize(vBddInv) )
+ Vec_IntGrow( vMemory, nSupps * Vec_IntSize(vBddInv) );
+ puSuppAll = Vec_IntArray( vMemory );
+ // clear storage for the const node
+ memset( puSuppAll, 0, sizeof(unsigned) * nSupps );
+ // compute supports from nodes
+ Vec_IntForEachEntryStart( vBddInv, Entry, i, 1 )
+ {
+ Mux = *((Kit_Mux_t *)&Entry);
+// Var = nVars - 1 - Mux.v;
+ Var = Mux.v;
+ pFan0 = puSuppAll + nSupps * Mux.e;
+ pFan1 = puSuppAll + nSupps * Mux.t;
+ pThis = puSuppAll + nSupps * i;
+ for ( v = 0; v < nSupps; v++ )
+ pThis[v] = pFan0[v] | pFan1[v] | (1<<Var);
+ assert( pFan0[2*Var + 0] == pFan0[2*Var + 1] );
+ assert( pFan1[2*Var + 0] == pFan1[2*Var + 1] );
+ pThis[2*Var + 0] = pFan0[2*Var + 0];// | pFan0[2*Var + 1];
+ pThis[2*Var + 1] = pFan1[2*Var + 0];// | pFan1[2*Var + 1];
+ }
+
+ // merge supports
+ for ( Var = 0; Var < nSupps; Var++ )
+ puSupps[Var] = (puSupps[Var] & Kit_BitMask(Var/2)) | (pThis[Var] & ~Kit_BitMask(Var/2));
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/kit/kitDsd.c b/src/aig/kit/kitDsd.c
new file mode 100644
index 00000000..e24a9964
--- /dev/null
+++ b/src/aig/kit/kitDsd.c
@@ -0,0 +1,2621 @@
+/**CFile****************************************************************
+
+ FileName [kitDsd.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [Computation kit.]
+
+ Synopsis [Performs disjoint-support decomposition based on truth tables.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - Dec 6, 2006.]
+
+ Revision [$Id: kitDsd.c,v 1.00 2006/12/06 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "kit.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Allocates the DSD manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Kit_DsdMan_t * Kit_DsdManAlloc( int nVars, int nNodes )
+{
+ Kit_DsdMan_t * p;
+ p = ALLOC( Kit_DsdMan_t, 1 );
+ memset( p, 0, sizeof(Kit_DsdMan_t) );
+ p->nVars = nVars;
+ p->nWords = Kit_TruthWordNum( p->nVars );
+ p->vTtElems = Vec_PtrAllocTruthTables( p->nVars );
+ p->vTtNodes = Vec_PtrAllocSimInfo( nNodes, p->nWords );
+ p->dd = Cloud_Init( 16, 14 );
+ p->vTtBdds = Vec_PtrAllocSimInfo( (1<<12), p->nWords );
+ p->vNodes = Vec_IntAlloc( 512 );
+ return p;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Deallocates the DSD manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_DsdManFree( Kit_DsdMan_t * p )
+{
+ Cloud_Quit( p->dd );
+ Vec_IntFree( p->vNodes );
+ Vec_PtrFree( p->vTtBdds );
+ Vec_PtrFree( p->vTtElems );
+ Vec_PtrFree( p->vTtNodes );
+ free( p );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Allocates the DSD node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Kit_DsdObj_t * Kit_DsdObjAlloc( Kit_DsdNtk_t * pNtk, Kit_Dsd_t Type, int nFans )
+{
+ Kit_DsdObj_t * pObj;
+ int nSize = sizeof(Kit_DsdObj_t) + sizeof(unsigned) * (Kit_DsdObjOffset(nFans) + (Type == KIT_DSD_PRIME) * Kit_TruthWordNum(nFans));
+ pObj = (Kit_DsdObj_t *)ALLOC( char, nSize );
+ memset( pObj, 0, nSize );
+ pObj->Id = pNtk->nVars + pNtk->nNodes;
+ pObj->Type = Type;
+ pObj->nFans = nFans;
+ pObj->Offset = Kit_DsdObjOffset( nFans );
+ // add the object
+ if ( pNtk->nNodes == pNtk->nNodesAlloc )
+ {
+ pNtk->nNodesAlloc *= 2;
+ pNtk->pNodes = REALLOC( Kit_DsdObj_t *, pNtk->pNodes, pNtk->nNodesAlloc );
+ }
+ assert( pNtk->nNodes < pNtk->nNodesAlloc );
+ pNtk->pNodes[pNtk->nNodes++] = pObj;
+ return pObj;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Deallocates the DSD node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_DsdObjFree( Kit_DsdNtk_t * p, Kit_DsdObj_t * pObj )
+{
+ free( pObj );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Allocates the DSD network.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Kit_DsdNtk_t * Kit_DsdNtkAlloc( int nVars )
+{
+ Kit_DsdNtk_t * pNtk;
+ pNtk = ALLOC( Kit_DsdNtk_t, 1 );
+ memset( pNtk, 0, sizeof(Kit_DsdNtk_t) );
+ pNtk->pNodes = ALLOC( Kit_DsdObj_t *, nVars );
+ pNtk->nVars = nVars;
+ pNtk->nNodesAlloc = nVars;
+ pNtk->pMem = ALLOC( unsigned, 6 * Kit_TruthWordNum(nVars) );
+ return pNtk;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Deallocate the DSD network.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_DsdNtkFree( Kit_DsdNtk_t * pNtk )
+{
+ Kit_DsdObj_t * pObj;
+ unsigned i;
+ Kit_DsdNtkForEachObj( pNtk, pObj, i )
+ free( pObj );
+ FREE( pNtk->pSupps );
+ free( pNtk->pNodes );
+ free( pNtk->pMem );
+ free( pNtk );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Prints the hex unsigned into a file.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_DsdPrintHex( FILE * pFile, unsigned * pTruth, int nFans )
+{
+ int nDigits, Digit, k;
+ nDigits = (1 << nFans) / 4;
+ for ( k = nDigits - 1; k >= 0; k-- )
+ {
+ Digit = ((pTruth[k/8] >> ((k%8) * 4)) & 15);
+ if ( Digit < 10 )
+ fprintf( pFile, "%d", Digit );
+ else
+ fprintf( pFile, "%c", 'A' + Digit-10 );
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Recursively print the DSD formula.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_DsdPrint_rec( FILE * pFile, Kit_DsdNtk_t * pNtk, int Id )
+{
+ Kit_DsdObj_t * pObj;
+ unsigned iLit, i;
+ char Symbol;
+
+ pObj = Kit_DsdNtkObj( pNtk, Id );
+ if ( pObj == NULL )
+ {
+ assert( Id < pNtk->nVars );
+ fprintf( pFile, "%c", 'a' + Id );
+ return;
+ }
+
+ if ( pObj->Type == KIT_DSD_CONST1 )
+ {
+ assert( pObj->nFans == 0 );
+ fprintf( pFile, "Const1" );
+ return;
+ }
+
+ if ( pObj->Type == KIT_DSD_VAR )
+ assert( pObj->nFans == 1 );
+
+ if ( pObj->Type == KIT_DSD_AND )
+ Symbol = '*';
+ else if ( pObj->Type == KIT_DSD_XOR )
+ Symbol = '+';
+ else
+ Symbol = ',';
+
+ if ( pObj->Type == KIT_DSD_PRIME )
+ Kit_DsdPrintHex( stdout, Kit_DsdObjTruth(pObj), pObj->nFans );
+
+ fprintf( pFile, "(" );
+ Kit_DsdObjForEachFanin( pNtk, pObj, iLit, i )
+ {
+ if ( Kit_DsdLitIsCompl(iLit) )
+ fprintf( pFile, "!" );
+ Kit_DsdPrint_rec( pFile, pNtk, Kit_DsdLit2Var(iLit) );
+ if ( i < pObj->nFans - 1 )
+ fprintf( pFile, "%c", Symbol );
+ }
+ fprintf( pFile, ")" );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Print the DSD formula.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_DsdPrint( FILE * pFile, Kit_DsdNtk_t * pNtk )
+{
+ fprintf( pFile, "F = " );
+ if ( Kit_DsdLitIsCompl(pNtk->Root) )
+ fprintf( pFile, "!" );
+ Kit_DsdPrint_rec( pFile, pNtk, Kit_DsdLit2Var(pNtk->Root) );
+ fprintf( pFile, "\n" );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Print the DSD formula.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_DsdPrintExpanded( Kit_DsdNtk_t * pNtk )
+{
+ Kit_DsdNtk_t * pTemp;
+ pTemp = Kit_DsdExpand( pNtk );
+ Kit_DsdPrint( stdout, pTemp );
+ Kit_DsdNtkFree( pTemp );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Print the DSD formula.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_DsdPrintFromTruth( unsigned * pTruth, int nVars )
+{
+ Kit_DsdNtk_t * pTemp;
+ pTemp = Kit_DsdDecomposeMux( pTruth, nVars, 5 );
+ Kit_DsdVerify( pTemp, pTruth, nVars );
+ Kit_DsdPrintExpanded( pTemp );
+ Kit_DsdNtkFree( pTemp );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Derives the truth table of the DSD node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+unsigned * Kit_DsdTruthComputeNode_rec( Kit_DsdMan_t * p, Kit_DsdNtk_t * pNtk, int Id )
+{
+ Kit_DsdObj_t * pObj;
+ unsigned * pTruthRes, * pTruthFans[16], * pTruthTemp;
+ unsigned i, iLit, fCompl;
+// unsigned m, nMints, * pTruthPrime, * pTruthMint;
+
+ // get the node with this ID
+ pObj = Kit_DsdNtkObj( pNtk, Id );
+ pTruthRes = Vec_PtrEntry( p->vTtNodes, Id );
+
+ // special case: literal of an internal node
+ if ( pObj == NULL )
+ {
+ assert( Id < pNtk->nVars );
+ return pTruthRes;
+ }
+
+ // constant node
+ if ( pObj->Type == KIT_DSD_CONST1 )
+ {
+ assert( pObj->nFans == 0 );
+ Kit_TruthFill( pTruthRes, pNtk->nVars );
+ return pTruthRes;
+ }
+
+ // elementary variable node
+ if ( pObj->Type == KIT_DSD_VAR )
+ {
+ assert( pObj->nFans == 1 );
+ iLit = pObj->pFans[0];
+ pTruthFans[0] = Kit_DsdTruthComputeNode_rec( p, pNtk, Kit_DsdLit2Var(iLit) );
+ if ( Kit_DsdLitIsCompl(iLit) )
+ Kit_TruthNot( pTruthRes, pTruthFans[0], pNtk->nVars );
+ else
+ Kit_TruthCopy( pTruthRes, pTruthFans[0], pNtk->nVars );
+ return pTruthRes;
+ }
+
+ // collect the truth tables of the fanins
+ Kit_DsdObjForEachFanin( pNtk, pObj, iLit, i )
+ pTruthFans[i] = Kit_DsdTruthComputeNode_rec( p, pNtk, Kit_DsdLit2Var(iLit) );
+ // create the truth table
+
+ // simple gates
+ if ( pObj->Type == KIT_DSD_AND )
+ {
+ Kit_TruthFill( pTruthRes, pNtk->nVars );
+ Kit_DsdObjForEachFanin( pNtk, pObj, iLit, i )
+ Kit_TruthAndPhase( pTruthRes, pTruthRes, pTruthFans[i], pNtk->nVars, 0, Kit_DsdLitIsCompl(iLit) );
+ return pTruthRes;
+ }
+ if ( pObj->Type == KIT_DSD_XOR )
+ {
+ Kit_TruthClear( pTruthRes, pNtk->nVars );
+ fCompl = 0;
+ Kit_DsdObjForEachFanin( pNtk, pObj, iLit, i )
+ {
+ Kit_TruthXor( pTruthRes, pTruthRes, pTruthFans[i], pNtk->nVars );
+ fCompl ^= Kit_DsdLitIsCompl(iLit);
+ }
+ if ( fCompl )
+ Kit_TruthNot( pTruthRes, pTruthRes, pNtk->nVars );
+ return pTruthRes;
+ }
+ assert( pObj->Type == KIT_DSD_PRIME );
+/*
+ // get the truth table of the prime node
+ pTruthPrime = Kit_DsdObjTruth( pObj );
+ // get storage for the temporary minterm
+ pTruthMint = Vec_PtrEntry(p->vTtNodes, pNtk->nVars + pNtk->nNodes);
+
+ // go through the minterms
+ nMints = (1 << pObj->nFans);
+ Kit_TruthClear( pTruthRes, pNtk->nVars );
+ for ( m = 0; m < nMints; m++ )
+ {
+ if ( !Kit_TruthHasBit(pTruthPrime, m) )
+ continue;
+ Kit_TruthFill( pTruthMint, pNtk->nVars );
+ Kit_DsdObjForEachFanin( pNtk, pObj, iLit, i )
+ Kit_TruthAndPhase( pTruthMint, pTruthMint, pTruthFans[i], pNtk->nVars, 0, ((m & (1<<i)) == 0) ^ Kit_DsdLitIsCompl(iLit) );
+ Kit_TruthOr( pTruthRes, pTruthRes, pTruthMint, pNtk->nVars );
+ }
+*/
+ pTruthTemp = Kit_TruthCompose( p->dd, Kit_DsdObjTruth(pObj), pObj->nFans, pTruthFans, pNtk->nVars, p->vTtBdds, p->vNodes );
+ Kit_TruthCopy( pTruthRes, pTruthTemp, pNtk->nVars );
+ return pTruthRes;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Derives the truth table of the DSD network.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+unsigned * Kit_DsdTruthCompute( Kit_DsdMan_t * p, Kit_DsdNtk_t * pNtk )
+{
+ unsigned * pTruthRes;
+ int i;
+ // assign elementary truth ables
+ assert( pNtk->nVars <= p->nVars );
+ for ( i = 0; i < (int)pNtk->nVars; i++ )
+ Kit_TruthCopy( Vec_PtrEntry(p->vTtNodes, i), Vec_PtrEntry(p->vTtElems, i), p->nVars );
+ // compute truth table for each node
+ pTruthRes = Kit_DsdTruthComputeNode_rec( p, pNtk, Kit_DsdLit2Var(pNtk->Root) );
+ // complement the truth table if needed
+ if ( Kit_DsdLitIsCompl(pNtk->Root) )
+ Kit_TruthNot( pTruthRes, pTruthRes, pNtk->nVars );
+ return pTruthRes;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Derives the truth table of the DSD node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+unsigned * Kit_DsdTruthComputeNodeOne_rec( Kit_DsdMan_t * p, Kit_DsdNtk_t * pNtk, int Id, unsigned uSupp )
+{
+ Kit_DsdObj_t * pObj;
+ unsigned * pTruthRes, * pTruthFans[16], * pTruthTemp;
+ unsigned i, iLit, fCompl, nPartial = 0;
+// unsigned m, nMints, * pTruthPrime, * pTruthMint;
+
+ // get the node with this ID
+ pObj = Kit_DsdNtkObj( pNtk, Id );
+ pTruthRes = Vec_PtrEntry( p->vTtNodes, Id );
+
+ // special case: literal of an internal node
+ if ( pObj == NULL )
+ {
+ assert( Id < pNtk->nVars );
+ assert( !uSupp || uSupp != (uSupp & ~(1<<Id)) );
+ return pTruthRes;
+ }
+
+ // constant node
+ if ( pObj->Type == KIT_DSD_CONST1 )
+ {
+ assert( pObj->nFans == 0 );
+ Kit_TruthFill( pTruthRes, pNtk->nVars );
+ return pTruthRes;
+ }
+
+ // elementary variable node
+ if ( pObj->Type == KIT_DSD_VAR )
+ {
+ assert( pObj->nFans == 1 );
+ iLit = pObj->pFans[0];
+ assert( Kit_DsdLitIsLeaf( pNtk, iLit ) );
+ pTruthFans[0] = Kit_DsdTruthComputeNodeOne_rec( p, pNtk, Kit_DsdLit2Var(iLit), uSupp );
+ if ( Kit_DsdLitIsCompl(iLit) )
+ Kit_TruthNot( pTruthRes, pTruthFans[0], pNtk->nVars );
+ else
+ Kit_TruthCopy( pTruthRes, pTruthFans[0], pNtk->nVars );
+ return pTruthRes;
+ }
+
+ // collect the truth tables of the fanins
+ if ( uSupp )
+ {
+ Kit_DsdObjForEachFanin( pNtk, pObj, iLit, i )
+ if ( uSupp != (uSupp & ~Kit_DsdLitSupport(pNtk, iLit)) )
+ pTruthFans[i] = Kit_DsdTruthComputeNodeOne_rec( p, pNtk, Kit_DsdLit2Var(iLit), uSupp );
+ else
+ {
+ pTruthFans[i] = NULL;
+ nPartial = 1;
+ }
+ }
+ else
+ {
+ Kit_DsdObjForEachFanin( pNtk, pObj, iLit, i )
+ pTruthFans[i] = Kit_DsdTruthComputeNodeOne_rec( p, pNtk, Kit_DsdLit2Var(iLit), uSupp );
+ }
+ // create the truth table
+
+ // simple gates
+ if ( pObj->Type == KIT_DSD_AND )
+ {
+ Kit_TruthFill( pTruthRes, pNtk->nVars );
+ Kit_DsdObjForEachFanin( pNtk, pObj, iLit, i )
+ if ( pTruthFans[i] )
+ Kit_TruthAndPhase( pTruthRes, pTruthRes, pTruthFans[i], pNtk->nVars, 0, Kit_DsdLitIsCompl(iLit) );
+ return pTruthRes;
+ }
+ if ( pObj->Type == KIT_DSD_XOR )
+ {
+ Kit_TruthClear( pTruthRes, pNtk->nVars );
+ fCompl = 0;
+ Kit_DsdObjForEachFanin( pNtk, pObj, iLit, i )
+ {
+ if ( pTruthFans[i] )
+ {
+ Kit_TruthXor( pTruthRes, pTruthRes, pTruthFans[i], pNtk->nVars );
+ fCompl ^= Kit_DsdLitIsCompl(iLit);
+ }
+ }
+ if ( fCompl )
+ Kit_TruthNot( pTruthRes, pTruthRes, pNtk->nVars );
+ return pTruthRes;
+ }
+ assert( pObj->Type == KIT_DSD_PRIME );
+
+ if ( uSupp && nPartial )
+ {
+ // find the only non-empty component
+ Kit_DsdObjForEachFanin( pNtk, pObj, iLit, i )
+ if ( pTruthFans[i] )
+ break;
+ assert( i < pObj->nFans );
+ return pTruthFans[i];
+ }
+/*
+ // get the truth table of the prime node
+ pTruthPrime = Kit_DsdObjTruth( pObj );
+ // get storage for the temporary minterm
+ pTruthMint = Vec_PtrEntry(p->vTtNodes, pNtk->nVars + pNtk->nNodes);
+
+ // go through the minterms
+ nMints = (1 << pObj->nFans);
+ Kit_TruthClear( pTruthRes, pNtk->nVars );
+ for ( m = 0; m < nMints; m++ )
+ {
+ if ( !Kit_TruthHasBit(pTruthPrime, m) )
+ continue;
+ Kit_TruthFill( pTruthMint, pNtk->nVars );
+ Kit_DsdObjForEachFanin( pNtk, pObj, iLit, i )
+ Kit_TruthAndPhase( pTruthMint, pTruthMint, pTruthFans[i], pNtk->nVars, 0, ((m & (1<<i)) == 0) ^ Kit_DsdLitIsCompl(iLit) );
+ Kit_TruthOr( pTruthRes, pTruthRes, pTruthMint, pNtk->nVars );
+ }
+*/
+ pTruthTemp = Kit_TruthCompose( p->dd, Kit_DsdObjTruth(pObj), pObj->nFans, pTruthFans, pNtk->nVars, p->vTtBdds, p->vNodes );
+ Kit_TruthCopy( pTruthRes, pTruthTemp, pNtk->nVars );
+ return pTruthRes;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Derives the truth table of the DSD network.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+unsigned * Kit_DsdTruthComputeOne( Kit_DsdMan_t * p, Kit_DsdNtk_t * pNtk, unsigned uSupp )
+{
+ unsigned * pTruthRes;
+ int i;
+ // if support is specified, request that supports are available
+ if ( uSupp )
+ Kit_DsdGetSupports( pNtk );
+ // assign elementary truth tables
+ assert( pNtk->nVars <= p->nVars );
+ for ( i = 0; i < (int)pNtk->nVars; i++ )
+ Kit_TruthCopy( Vec_PtrEntry(p->vTtNodes, i), Vec_PtrEntry(p->vTtElems, i), p->nVars );
+ // compute truth table for each node
+ pTruthRes = Kit_DsdTruthComputeNodeOne_rec( p, pNtk, Kit_DsdLit2Var(pNtk->Root), uSupp );
+ // complement the truth table if needed
+ if ( Kit_DsdLitIsCompl(pNtk->Root) )
+ Kit_TruthNot( pTruthRes, pTruthRes, pNtk->nVars );
+ return pTruthRes;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Derives the truth table of the DSD node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+unsigned * Kit_DsdTruthComputeNodeTwo_rec( Kit_DsdMan_t * p, Kit_DsdNtk_t * pNtk, int Id, unsigned uSupp, int iVar, unsigned * pTruthDec )
+{
+ Kit_DsdObj_t * pObj;
+ int pfBoundSet[16];
+ unsigned * pTruthRes, * pTruthFans[16], * pTruthTemp;
+ unsigned i, iLit, fCompl, nPartial, uSuppFan, uSuppCur;
+// unsigned m, nMints, * pTruthPrime, * pTruthMint;
+ assert( uSupp > 0 );
+
+ // get the node with this ID
+ pObj = Kit_DsdNtkObj( pNtk, Id );
+ pTruthRes = Vec_PtrEntry( p->vTtNodes, Id );
+ if ( pObj == NULL )
+ {
+ assert( Id < pNtk->nVars );
+ return pTruthRes;
+ }
+ assert( pObj->Type != KIT_DSD_CONST1 );
+ assert( pObj->Type != KIT_DSD_VAR );
+
+ // count the number of intersecting fanins
+ // collect the total support of the intersecting fanins
+ nPartial = 0;
+ uSuppFan = 0;
+ Kit_DsdObjForEachFanin( pNtk, pObj, iLit, i )
+ {
+ uSuppCur = Kit_DsdLitSupport(pNtk, iLit);
+ if ( uSupp & uSuppCur )
+ {
+ nPartial++;
+ uSuppFan |= uSuppCur;
+ }
+ }
+
+ // if there is no intersection, or full intersection, use simple procedure
+ if ( nPartial == 0 || nPartial == pObj->nFans )
+ return Kit_DsdTruthComputeNodeOne_rec( p, pNtk, Id, 0 );
+
+ // if support of the component includes some other variables
+ // we need to continue constructing it as usual by the two-function procedure
+ if ( uSuppFan != (uSuppFan & uSupp) )
+ {
+ assert( nPartial == 1 );
+// return Kit_DsdTruthComputeNodeTwo_rec( p, pNtk, Id, uSupp, iVar, pTruthDec );
+ Kit_DsdObjForEachFanin( pNtk, pObj, iLit, i )
+ {
+ if ( uSupp & Kit_DsdLitSupport(pNtk, iLit) )
+ pTruthFans[i] = Kit_DsdTruthComputeNodeTwo_rec( p, pNtk, Kit_DsdLit2Var(iLit), uSupp, iVar, pTruthDec );
+ else
+ pTruthFans[i] = Kit_DsdTruthComputeNodeOne_rec( p, pNtk, Kit_DsdLit2Var(iLit), 0 );
+ }
+
+ // create composition/decomposition functions
+ if ( pObj->Type == KIT_DSD_AND )
+ {
+ Kit_TruthFill( pTruthRes, pNtk->nVars );
+ Kit_DsdObjForEachFanin( pNtk, pObj, iLit, i )
+ Kit_TruthAndPhase( pTruthRes, pTruthRes, pTruthFans[i], pNtk->nVars, 0, Kit_DsdLitIsCompl(iLit) );
+ return pTruthRes;
+ }
+ if ( pObj->Type == KIT_DSD_XOR )
+ {
+ Kit_TruthClear( pTruthRes, pNtk->nVars );
+ fCompl = 0;
+ Kit_DsdObjForEachFanin( pNtk, pObj, iLit, i )
+ {
+ fCompl ^= Kit_DsdLitIsCompl(iLit);
+ Kit_TruthXor( pTruthRes, pTruthRes, pTruthFans[i], pNtk->nVars );
+ }
+ if ( fCompl )
+ Kit_TruthNot( pTruthRes, pTruthRes, pNtk->nVars );
+ return pTruthRes;
+ }
+ assert( pObj->Type == KIT_DSD_PRIME );
+ }
+ else
+ {
+ assert( uSuppFan == (uSuppFan & uSupp) );
+ assert( nPartial < pObj->nFans );
+ // the support of the insecting component(s) is contained in the bound-set
+ // and yet there are components that are not contained in the bound set
+
+ // solve the fanins and collect info, which components belong to the bound set
+ Kit_DsdObjForEachFanin( pNtk, pObj, iLit, i )
+ {
+ pTruthFans[i] = Kit_DsdTruthComputeNodeOne_rec( p, pNtk, Kit_DsdLit2Var(iLit), 0 );
+ pfBoundSet[i] = (int)((uSupp & Kit_DsdLitSupport(pNtk, iLit)) > 0);
+ }
+
+ // create composition/decomposition functions
+ if ( pObj->Type == KIT_DSD_AND )
+ {
+ Kit_TruthIthVar( pTruthRes, pNtk->nVars, iVar );
+ Kit_TruthFill( pTruthDec, pNtk->nVars );
+ Kit_DsdObjForEachFanin( pNtk, pObj, iLit, i )
+ if ( pfBoundSet[i] )
+ Kit_TruthAndPhase( pTruthDec, pTruthDec, pTruthFans[i], pNtk->nVars, 0, Kit_DsdLitIsCompl(iLit) );
+ else
+ Kit_TruthAndPhase( pTruthRes, pTruthRes, pTruthFans[i], pNtk->nVars, 0, Kit_DsdLitIsCompl(iLit) );
+ return pTruthRes;
+ }
+ if ( pObj->Type == KIT_DSD_XOR )
+ {
+ Kit_TruthIthVar( pTruthRes, pNtk->nVars, iVar );
+ Kit_TruthClear( pTruthDec, pNtk->nVars );
+ fCompl = 0;
+ Kit_DsdObjForEachFanin( pNtk, pObj, iLit, i )
+ {
+ fCompl ^= Kit_DsdLitIsCompl(iLit);
+ if ( pfBoundSet[i] )
+ Kit_TruthXor( pTruthDec, pTruthDec, pTruthFans[i], pNtk->nVars );
+ else
+ Kit_TruthXor( pTruthRes, pTruthRes, pTruthFans[i], pNtk->nVars );
+ }
+ if ( fCompl )
+ Kit_TruthNot( pTruthRes, pTruthRes, pNtk->nVars );
+ return pTruthRes;
+ }
+ assert( pObj->Type == KIT_DSD_PRIME );
+ assert( nPartial == 1 );
+
+ // find the only non-empty component
+ Kit_DsdObjForEachFanin( pNtk, pObj, iLit, i )
+ if ( pfBoundSet[i] )
+ break;
+ assert( i < pObj->nFans );
+
+ // save this component as the decomposed function
+ Kit_TruthCopy( pTruthDec, pTruthFans[i], pNtk->nVars );
+ // set the corresponding component to be the new variable
+ Kit_TruthIthVar( pTruthFans[i], pNtk->nVars, iVar );
+ }
+/*
+ // get the truth table of the prime node
+ pTruthPrime = Kit_DsdObjTruth( pObj );
+ // get storage for the temporary minterm
+ pTruthMint = Vec_PtrEntry(p->vTtNodes, pNtk->nVars + pNtk->nNodes);
+
+ // go through the minterms
+ nMints = (1 << pObj->nFans);
+ Kit_TruthClear( pTruthRes, pNtk->nVars );
+ for ( m = 0; m < nMints; m++ )
+ {
+ if ( !Kit_TruthHasBit(pTruthPrime, m) )
+ continue;
+ Kit_TruthFill( pTruthMint, pNtk->nVars );
+ Kit_DsdObjForEachFanin( pNtk, pObj, iLit, i )
+ Kit_TruthAndPhase( pTruthMint, pTruthMint, pTruthFans[i], pNtk->nVars, 0, ((m & (1<<i)) == 0) ^ Kit_DsdLitIsCompl(iLit) );
+ Kit_TruthOr( pTruthRes, pTruthRes, pTruthMint, pNtk->nVars );
+ }
+*/
+ Kit_DsdObjForEachFanin( pNtk, pObj, iLit, i )
+ assert( !Kit_DsdLitIsCompl(iLit) );
+ pTruthTemp = Kit_TruthCompose( p->dd, Kit_DsdObjTruth(pObj), pObj->nFans, pTruthFans, pNtk->nVars, p->vTtBdds, p->vNodes );
+ Kit_TruthCopy( pTruthRes, pTruthTemp, pNtk->nVars );
+ return pTruthRes;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Derives the truth table of the DSD network.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+unsigned * Kit_DsdTruthComputeTwo( Kit_DsdMan_t * p, Kit_DsdNtk_t * pNtk, unsigned uSupp, int iVar, unsigned * pTruthDec )
+{
+ unsigned * pTruthRes, uSuppAll;
+ int i;
+ assert( uSupp > 0 );
+ assert( pNtk->nVars <= p->nVars );
+ // compute support of all nodes
+ uSuppAll = Kit_DsdGetSupports( pNtk );
+ // consider special case - there is no overlap
+ if ( (uSupp & uSuppAll) == 0 )
+ {
+ Kit_TruthClear( pTruthDec, pNtk->nVars );
+ return Kit_DsdTruthCompute( p, pNtk );
+ }
+ // consider special case - support is fully contained
+ if ( (uSupp & uSuppAll) == uSuppAll )
+ {
+ pTruthRes = Kit_DsdTruthCompute( p, pNtk );
+ Kit_TruthCopy( pTruthDec, pTruthRes, pNtk->nVars );
+ Kit_TruthIthVar( pTruthRes, pNtk->nVars, iVar );
+ return pTruthRes;
+ }
+ // assign elementary truth tables
+ for ( i = 0; i < (int)pNtk->nVars; i++ )
+ Kit_TruthCopy( Vec_PtrEntry(p->vTtNodes, i), Vec_PtrEntry(p->vTtElems, i), p->nVars );
+ // compute truth table for each node
+ pTruthRes = Kit_DsdTruthComputeNodeTwo_rec( p, pNtk, Kit_DsdLit2Var(pNtk->Root), uSupp, iVar, pTruthDec );
+ // complement the truth table if needed
+ if ( Kit_DsdLitIsCompl(pNtk->Root) )
+ Kit_TruthNot( pTruthRes, pTruthRes, pNtk->nVars );
+ return pTruthRes;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Derives the truth table of the DSD network.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_DsdTruth( Kit_DsdNtk_t * pNtk, unsigned * pTruthRes )
+{
+ Kit_DsdMan_t * p;
+ unsigned * pTruth;
+ p = Kit_DsdManAlloc( pNtk->nVars, Kit_DsdNtkObjNum(pNtk) );
+ pTruth = Kit_DsdTruthCompute( p, pNtk );
+ Kit_TruthCopy( pTruthRes, pTruth, pNtk->nVars );
+ Kit_DsdManFree( p );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Derives the truth table of the DSD network.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_DsdTruthPartialTwo( Kit_DsdMan_t * p, Kit_DsdNtk_t * pNtk, unsigned uSupp, int iVar, unsigned * pTruthCo, unsigned * pTruthDec )
+{
+ unsigned * pTruth = Kit_DsdTruthComputeTwo( p, pNtk, uSupp, iVar, pTruthDec );
+ if ( pTruthCo )
+ Kit_TruthCopy( pTruthCo, pTruth, pNtk->nVars );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Derives the truth table of the DSD network.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_DsdTruthPartial( Kit_DsdMan_t * p, Kit_DsdNtk_t * pNtk, unsigned * pTruthRes, unsigned uSupp )
+{
+ unsigned * pTruth = Kit_DsdTruthComputeOne( p, pNtk, uSupp );
+ Kit_TruthCopy( pTruthRes, pTruth, pNtk->nVars );
+/*
+ // verification
+ {
+ // compute the same function using different procedure
+ unsigned * pTruthTemp = Vec_PtrEntry(p->vTtNodes, pNtk->nVars + pNtk->nNodes + 1);
+ pNtk->pSupps = NULL;
+ Kit_DsdTruthComputeTwo( p, pNtk, uSupp, -1, pTruthTemp );
+// if ( !Kit_TruthIsEqual( pTruthTemp, pTruthRes, pNtk->nVars ) )
+ if ( !Kit_TruthIsEqualWithPhase( pTruthTemp, pTruthRes, pNtk->nVars ) )
+ {
+ printf( "Verification FAILED!\n" );
+ Kit_DsdPrint( stdout, pNtk );
+ Kit_DsdPrintFromTruth( pTruthRes, pNtk->nVars );
+ Kit_DsdPrintFromTruth( pTruthTemp, pNtk->nVars );
+ }
+// else
+// printf( "Verification successful.\n" );
+ }
+*/
+}
+
+/**Function*************************************************************
+
+ Synopsis [Counts the number of blocks of the given number of inputs.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Kit_DsdCountLuts_rec( Kit_DsdNtk_t * pNtk, int nLutSize, int Id, int * pCounter )
+{
+ Kit_DsdObj_t * pObj;
+ unsigned iLit, i, Res0, Res1;
+ pObj = Kit_DsdNtkObj( pNtk, Id );
+ if ( pObj == NULL )
+ return 0;
+ if ( pObj->Type == KIT_DSD_AND || pObj->Type == KIT_DSD_XOR )
+ {
+ assert( pObj->nFans == 2 );
+ Res0 = Kit_DsdCountLuts_rec( pNtk, nLutSize, Kit_DsdLit2Var(pObj->pFans[0]), pCounter );
+ Res1 = Kit_DsdCountLuts_rec( pNtk, nLutSize, Kit_DsdLit2Var(pObj->pFans[1]), pCounter );
+ if ( Res0 == 0 && Res1 > 0 )
+ return Res1 - 1;
+ if ( Res0 > 0 && Res1 == 0 )
+ return Res0 - 1;
+ (*pCounter)++;
+ return nLutSize - 2;
+ }
+ assert( pObj->Type == KIT_DSD_PRIME );
+ if ( (int)pObj->nFans > nLutSize ) //+ 1 )
+ {
+ *pCounter = 1000;
+ return 0;
+ }
+ Kit_DsdObjForEachFanin( pNtk, pObj, iLit, i )
+ Kit_DsdCountLuts_rec( pNtk, nLutSize, Kit_DsdLit2Var(iLit), pCounter );
+ (*pCounter)++;
+// if ( (int)pObj->nFans == nLutSize + 1 )
+// (*pCounter)++;
+ return nLutSize - pObj->nFans;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Counts the number of blocks of the given number of inputs.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Kit_DsdCountLuts( Kit_DsdNtk_t * pNtk, int nLutSize )
+{
+ int Counter = 0;
+ if ( Kit_DsdNtkRoot(pNtk)->Type == KIT_DSD_CONST1 )
+ return 0;
+ if ( Kit_DsdNtkRoot(pNtk)->Type == KIT_DSD_VAR )
+ return 0;
+ Kit_DsdCountLuts_rec( pNtk, nLutSize, Kit_DsdLit2Var(pNtk->Root), &Counter );
+ if ( Counter >= 1000 )
+ return -1;
+ return Counter;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Counts the number of blocks of the given number of inputs.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Kit_DsdNonDsdSizeMax( Kit_DsdNtk_t * pNtk )
+{
+ Kit_DsdObj_t * pObj;
+ unsigned i, nSizeMax = 0;
+ Kit_DsdNtkForEachObj( pNtk, pObj, i )
+ {
+ if ( pObj->Type != KIT_DSD_PRIME )
+ continue;
+ if ( nSizeMax < pObj->nFans )
+ nSizeMax = pObj->nFans;
+ }
+ return nSizeMax;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Finds the union of supports of the non-DSD blocks.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+unsigned Kit_DsdNonDsdSupports( Kit_DsdNtk_t * pNtk )
+{
+ Kit_DsdObj_t * pObj;
+ unsigned i, uSupport = 0;
+// FREE( pNtk->pSupps );
+ Kit_DsdGetSupports( pNtk );
+ Kit_DsdNtkForEachObj( pNtk, pObj, i )
+ {
+ if ( pObj->Type != KIT_DSD_PRIME )
+ continue;
+ uSupport |= Kit_DsdLitSupport( pNtk, Kit_DsdVar2Lit(pObj->Id,0) );
+ }
+ return uSupport;
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Expands the node.]
+
+ Description [Returns the new literal.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_DsdExpandCollectAnd_rec( Kit_DsdNtk_t * p, int iLit, int * piLitsNew, int * nLitsNew )
+{
+ Kit_DsdObj_t * pObj;
+ unsigned i, iLitFanin;
+ // check the end of the supergate
+ pObj = Kit_DsdNtkObj( p, Kit_DsdLit2Var(iLit) );
+ if ( Kit_DsdLitIsCompl(iLit) || Kit_DsdLit2Var(iLit) < p->nVars || pObj->Type != KIT_DSD_AND )
+ {
+ piLitsNew[(*nLitsNew)++] = iLit;
+ return;
+ }
+ // iterate through the fanins
+ Kit_DsdObjForEachFanin( p, pObj, iLitFanin, i )
+ Kit_DsdExpandCollectAnd_rec( p, iLitFanin, piLitsNew, nLitsNew );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Expands the node.]
+
+ Description [Returns the new literal.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_DsdExpandCollectXor_rec( Kit_DsdNtk_t * p, int iLit, int * piLitsNew, int * nLitsNew )
+{
+ Kit_DsdObj_t * pObj;
+ unsigned i, iLitFanin;
+ // check the end of the supergate
+ pObj = Kit_DsdNtkObj( p, Kit_DsdLit2Var(iLit) );
+ if ( Kit_DsdLit2Var(iLit) < p->nVars || pObj->Type != KIT_DSD_XOR )
+ {
+ piLitsNew[(*nLitsNew)++] = iLit;
+ return;
+ }
+ // iterate through the fanins
+ pObj = Kit_DsdNtkObj( p, Kit_DsdLit2Var(iLit) );
+ Kit_DsdObjForEachFanin( p, pObj, iLitFanin, i )
+ Kit_DsdExpandCollectXor_rec( p, iLitFanin, piLitsNew, nLitsNew );
+ // if the literal was complemented, pass the complemented attribute somewhere
+ if ( Kit_DsdLitIsCompl(iLit) )
+ piLitsNew[0] = Kit_DsdLitNot( piLitsNew[0] );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Expands the node.]
+
+ Description [Returns the new literal.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Kit_DsdExpandNode_rec( Kit_DsdNtk_t * pNew, Kit_DsdNtk_t * p, int iLit )
+{
+ unsigned * pTruth, * pTruthNew;
+ unsigned i, iLitFanin, piLitsNew[16], nLitsNew = 0;
+ Kit_DsdObj_t * pObj, * pObjNew;
+
+ // consider the case of simple gate
+ pObj = Kit_DsdNtkObj( p, Kit_DsdLit2Var(iLit) );
+ if ( pObj == NULL )
+ return iLit;
+ if ( pObj->Type == KIT_DSD_AND )
+ {
+ Kit_DsdExpandCollectAnd_rec( p, Kit_DsdLitRegular(iLit), piLitsNew, &nLitsNew );
+ pObjNew = Kit_DsdObjAlloc( pNew, KIT_DSD_AND, nLitsNew );
+ for ( i = 0; i < pObjNew->nFans; i++ )
+ pObjNew->pFans[i] = Kit_DsdExpandNode_rec( pNew, p, piLitsNew[i] );
+ return Kit_DsdVar2Lit( pObjNew->Id, Kit_DsdLitIsCompl(iLit) );
+ }
+ if ( pObj->Type == KIT_DSD_XOR )
+ {
+ int fCompl = Kit_DsdLitIsCompl(iLit);
+ Kit_DsdExpandCollectXor_rec( p, Kit_DsdLitRegular(iLit), piLitsNew, &nLitsNew );
+ pObjNew = Kit_DsdObjAlloc( pNew, KIT_DSD_XOR, nLitsNew );
+ for ( i = 0; i < pObjNew->nFans; i++ )
+ {
+ pObjNew->pFans[i] = Kit_DsdExpandNode_rec( pNew, p, Kit_DsdLitRegular(piLitsNew[i]) );
+ fCompl ^= Kit_DsdLitIsCompl(piLitsNew[i]);
+ }
+ return Kit_DsdVar2Lit( pObjNew->Id, fCompl );
+ }
+ assert( pObj->Type == KIT_DSD_PRIME );
+
+ // create new PRIME node
+ pObjNew = Kit_DsdObjAlloc( pNew, KIT_DSD_PRIME, pObj->nFans );
+ // copy the truth table
+ pTruth = Kit_DsdObjTruth( pObj );
+ pTruthNew = Kit_DsdObjTruth( pObjNew );
+ Kit_TruthCopy( pTruthNew, pTruth, pObj->nFans );
+ // create fanins
+ Kit_DsdObjForEachFanin( pNtk, pObj, iLitFanin, i )
+ {
+ pObjNew->pFans[i] = Kit_DsdExpandNode_rec( pNew, p, iLitFanin );
+ // complement the corresponding inputs of the truth table
+ if ( Kit_DsdLitIsCompl(pObjNew->pFans[i]) )
+ {
+ pObjNew->pFans[i] = Kit_DsdLitRegular(pObjNew->pFans[i]);
+ Kit_TruthChangePhase( pTruthNew, pObjNew->nFans, i );
+ }
+ }
+ // if the incoming phase is complemented, absorb it into the prime node
+ if ( Kit_DsdLitIsCompl(iLit) )
+ Kit_TruthNot( pTruthNew, pTruthNew, pObj->nFans );
+ return Kit_DsdVar2Lit( pObjNew->Id, 0 );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Expands the network.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Kit_DsdNtk_t * Kit_DsdExpand( Kit_DsdNtk_t * p )
+{
+ Kit_DsdNtk_t * pNew;
+ Kit_DsdObj_t * pObjNew;
+ assert( p->nVars <= 16 );
+ // create a new network
+ pNew = Kit_DsdNtkAlloc( p->nVars );
+ // consider simple special cases
+ if ( Kit_DsdNtkRoot(p)->Type == KIT_DSD_CONST1 )
+ {
+ pObjNew = Kit_DsdObjAlloc( pNew, KIT_DSD_CONST1, 0 );
+ pNew->Root = Kit_DsdVar2Lit( pObjNew->Id, Kit_DsdLitIsCompl(p->Root) );
+ return pNew;
+ }
+ if ( Kit_DsdNtkRoot(p)->Type == KIT_DSD_VAR )
+ {
+ pObjNew = Kit_DsdObjAlloc( pNew, KIT_DSD_VAR, 1 );
+ pObjNew->pFans[0] = Kit_DsdNtkRoot(p)->pFans[0];
+ pNew->Root = Kit_DsdVar2Lit( pObjNew->Id, Kit_DsdLitIsCompl(p->Root) );
+ return pNew;
+ }
+ // convert the root node
+ pNew->Root = Kit_DsdExpandNode_rec( pNew, p, p->Root );
+ return pNew;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Sorts the literals by their support.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_DsdCompSort( int pPrios[], unsigned uSupps[], unsigned char * piLits, int nVars, int piLitsRes[] )
+{
+ int nSuppSizes[16], Priority[16], pOrder[16];
+ int i, k, iVarBest, SuppMax, PrioMax;
+ // compute support sizes and priorities of the components
+ for ( i = 0; i < nVars; i++ )
+ {
+ assert( uSupps[i] );
+ pOrder[i] = i;
+ Priority[i] = KIT_INFINITY;
+ for ( k = 0; k < 16; k++ )
+ if ( uSupps[i] & (1 << k) )
+ Priority[i] = KIT_MIN( Priority[i], pPrios[k] );
+ assert( Priority[i] != 16 );
+ nSuppSizes[i] = Kit_WordCountOnes(uSupps[i]);
+ }
+ // sort the components by pririty
+ Extra_BubbleSort( pOrder, Priority, nVars, 0 );
+ // find the component by with largest size and lowest priority
+ iVarBest = -1;
+ SuppMax = 0;
+ PrioMax = 0;
+ for ( i = 0; i < nVars; i++ )
+ {
+ if ( SuppMax < nSuppSizes[i] || (SuppMax == nSuppSizes[i] && PrioMax < Priority[i]) )
+ {
+ SuppMax = nSuppSizes[i];
+ PrioMax = Priority[i];
+ iVarBest = i;
+ }
+ }
+ assert( iVarBest != -1 );
+ // copy the resulting literals
+ k = 0;
+ piLitsRes[k++] = piLits[iVarBest];
+ for ( i = 0; i < nVars; i++ )
+ {
+ if ( pOrder[i] == iVarBest )
+ continue;
+ piLitsRes[k++] = piLits[pOrder[i]];
+ }
+ assert( k == nVars );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Shrinks multi-input nodes.]
+
+ Description [Takes the array of variable priorities pPrios.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Kit_DsdShrink_rec( Kit_DsdNtk_t * pNew, Kit_DsdNtk_t * p, int iLit, int pPrios[] )
+{
+ Kit_DsdObj_t * pObj, * pObjNew;
+ unsigned * pTruth, * pTruthNew;
+ unsigned i, piLitsNew[16], uSupps[16];
+ int iLitFanin, iLitNew;
+
+ // consider the case of simple gate
+ pObj = Kit_DsdNtkObj( p, Kit_DsdLit2Var(iLit) );
+ if ( pObj == NULL )
+ return iLit;
+ if ( pObj->Type == KIT_DSD_AND )
+ {
+ // get the supports
+ Kit_DsdObjForEachFanin( p, pObj, iLitFanin, i )
+ uSupps[i] = Kit_DsdLitSupport( p, iLitFanin );
+ // put the largest component last
+ // sort other components in the decreasing order of priority of their vars
+ Kit_DsdCompSort( pPrios, uSupps, pObj->pFans, pObj->nFans, piLitsNew );
+ // construct the two-input node network
+ iLitNew = Kit_DsdShrink_rec( pNew, p, piLitsNew[0], pPrios );
+ for ( i = 1; i < pObj->nFans; i++ )
+ {
+ pObjNew = Kit_DsdObjAlloc( pNew, KIT_DSD_AND, 2 );
+ pObjNew->pFans[0] = Kit_DsdShrink_rec( pNew, p, piLitsNew[i], pPrios );
+ pObjNew->pFans[1] = iLitNew;
+ iLitNew = Kit_DsdVar2Lit( pObjNew->Id, 0 );
+ }
+ return Kit_DsdVar2Lit( pObjNew->Id, Kit_DsdLitIsCompl(iLit) );
+ }
+ if ( pObj->Type == KIT_DSD_XOR )
+ {
+ // get the supports
+ Kit_DsdObjForEachFanin( p, pObj, iLitFanin, i )
+ {
+ assert( !Kit_DsdLitIsCompl(iLitFanin) );
+ uSupps[i] = Kit_DsdLitSupport( p, iLitFanin );
+ }
+ // put the largest component last
+ // sort other components in the decreasing order of priority of their vars
+ Kit_DsdCompSort( pPrios, uSupps, pObj->pFans, pObj->nFans, piLitsNew );
+ // construct the two-input node network
+ iLitNew = Kit_DsdShrink_rec( pNew, p, piLitsNew[0], pPrios );
+ for ( i = 1; i < pObj->nFans; i++ )
+ {
+ pObjNew = Kit_DsdObjAlloc( pNew, KIT_DSD_XOR, 2 );
+ pObjNew->pFans[0] = Kit_DsdShrink_rec( pNew, p, piLitsNew[i], pPrios );
+ pObjNew->pFans[1] = iLitNew;
+ iLitNew = Kit_DsdVar2Lit( pObjNew->Id, 0 );
+ }
+ return Kit_DsdVar2Lit( pObjNew->Id, Kit_DsdLitIsCompl(iLit) );
+ }
+ assert( pObj->Type == KIT_DSD_PRIME );
+
+ // create new PRIME node
+ pObjNew = Kit_DsdObjAlloc( pNew, KIT_DSD_PRIME, pObj->nFans );
+ // copy the truth table
+ pTruth = Kit_DsdObjTruth( pObj );
+ pTruthNew = Kit_DsdObjTruth( pObjNew );
+ Kit_TruthCopy( pTruthNew, pTruth, pObj->nFans );
+ // create fanins
+ Kit_DsdObjForEachFanin( pNtk, pObj, iLitFanin, i )
+ {
+ pObjNew->pFans[i] = Kit_DsdShrink_rec( pNew, p, iLitFanin, pPrios );
+ // complement the corresponding inputs of the truth table
+ if ( Kit_DsdLitIsCompl(pObjNew->pFans[i]) )
+ {
+ pObjNew->pFans[i] = Kit_DsdLitRegular(pObjNew->pFans[i]);
+ Kit_TruthChangePhase( pTruthNew, pObjNew->nFans, i );
+ }
+ }
+ // if the incoming phase is complemented, absorb it into the prime node
+ if ( Kit_DsdLitIsCompl(iLit) )
+ Kit_TruthNot( pTruthNew, pTruthNew, pObj->nFans );
+ return Kit_DsdVar2Lit( pObjNew->Id, 0 );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Shrinks the network.]
+
+ Description [Transforms the network to have two-input nodes so that the
+ higher-ordered nodes were decomposed out first.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Kit_DsdNtk_t * Kit_DsdShrink( Kit_DsdNtk_t * p, int pPrios[] )
+{
+ Kit_DsdNtk_t * pNew;
+ Kit_DsdObj_t * pObjNew;
+ assert( p->nVars <= 16 );
+ // create a new network
+ pNew = Kit_DsdNtkAlloc( p->nVars );
+ // consider simple special cases
+ if ( Kit_DsdNtkRoot(p)->Type == KIT_DSD_CONST1 )
+ {
+ pObjNew = Kit_DsdObjAlloc( pNew, KIT_DSD_CONST1, 0 );
+ pNew->Root = Kit_DsdVar2Lit( pObjNew->Id, Kit_DsdLitIsCompl(p->Root) );
+ return pNew;
+ }
+ if ( Kit_DsdNtkRoot(p)->Type == KIT_DSD_VAR )
+ {
+ pObjNew = Kit_DsdObjAlloc( pNew, KIT_DSD_VAR, 1 );
+ pObjNew->pFans[0] = Kit_DsdNtkRoot(p)->pFans[0];
+ pNew->Root = Kit_DsdVar2Lit( pObjNew->Id, Kit_DsdLitIsCompl(p->Root) );
+ return pNew;
+ }
+ // convert the root node
+ pNew->Root = Kit_DsdShrink_rec( pNew, p, p->Root, pPrios );
+ return pNew;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Rotates the network.]
+
+ Description [Transforms prime nodes to have the fanin with the
+ highest frequency of supports go first.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_DsdRotate( Kit_DsdNtk_t * p, int pFreqs[] )
+{
+ Kit_DsdObj_t * pObj;
+ unsigned * pIn, * pOut, * pTemp, k;
+ int i, v, Temp, uSuppFanin, iFaninLit, WeightMax, FaninMax, nSwaps;
+ int Weights[16];
+ // go through the prime nodes
+ Kit_DsdNtkForEachObj( p, pObj, i )
+ {
+ if ( pObj->Type != KIT_DSD_PRIME )
+ continue;
+ // count the fanin frequencies
+ Kit_DsdObjForEachFanin( p, pObj, iFaninLit, k )
+ {
+ uSuppFanin = Kit_DsdLitSupport( p, iFaninLit );
+ Weights[k] = 0;
+ for ( v = 0; v < 16; v++ )
+ if ( uSuppFanin & (1 << v) )
+ Weights[k] += pFreqs[v] - 1;
+ }
+ // find the most frequent fanin
+ WeightMax = 0;
+ FaninMax = -1;
+ for ( k = 0; k < pObj->nFans; k++ )
+ if ( WeightMax < Weights[k] )
+ {
+ WeightMax = Weights[k];
+ FaninMax = k;
+ }
+ // no need to reorder if there are no frequent fanins
+ if ( FaninMax == -1 )
+ continue;
+ // move the fanins number k to the first place
+ nSwaps = 0;
+ pIn = Kit_DsdObjTruth(pObj);
+ pOut = p->pMem;
+// for ( v = FaninMax; v < ((int)pObj->nFans)-1; v++ )
+ for ( v = FaninMax-1; v >= 0; v-- )
+ {
+ // swap the fanins
+ Temp = pObj->pFans[v];
+ pObj->pFans[v] = pObj->pFans[v+1];
+ pObj->pFans[v+1] = Temp;
+ // swap the truth table variables
+ Kit_TruthSwapAdjacentVars( pOut, pIn, pObj->nFans, v );
+ pTemp = pIn; pIn = pOut; pOut = pTemp;
+ nSwaps++;
+ }
+ if ( nSwaps & 1 )
+ Kit_TruthCopy( pOut, pIn, pObj->nFans );
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Compute the support.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+unsigned Kit_DsdGetSupports_rec( Kit_DsdNtk_t * p, int iLit )
+{
+ Kit_DsdObj_t * pObj;
+ unsigned uSupport, k;
+ int iFaninLit;
+ pObj = Kit_DsdNtkObj( p, Kit_DsdLit2Var(iLit) );
+ if ( pObj == NULL )
+ return Kit_DsdLitSupport( p, iLit );
+ uSupport = 0;
+ Kit_DsdObjForEachFanin( p, pObj, iFaninLit, k )
+ uSupport |= Kit_DsdGetSupports_rec( p, iFaninLit );
+ p->pSupps[pObj->Id - p->nVars] = uSupport;
+ assert( uSupport <= 0xFFFF );
+ return uSupport;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Compute the support.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+unsigned Kit_DsdGetSupports( Kit_DsdNtk_t * p )
+{
+ Kit_DsdObj_t * pRoot;
+ unsigned uSupport;
+ assert( p->pSupps == NULL );
+ p->pSupps = ALLOC( unsigned, p->nNodes );
+ // consider simple special cases
+ pRoot = Kit_DsdNtkRoot(p);
+ if ( pRoot->Type == KIT_DSD_CONST1 )
+ {
+ assert( p->nNodes == 1 );
+ uSupport = p->pSupps[0] = 0;
+ }
+ if ( pRoot->Type == KIT_DSD_VAR )
+ {
+ assert( p->nNodes == 1 );
+ uSupport = p->pSupps[0] = Kit_DsdLitSupport( p, pRoot->pFans[0] );
+ }
+ else
+ uSupport = Kit_DsdGetSupports_rec( p, p->Root );
+ assert( uSupport <= 0xFFFF );
+ return uSupport;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns 1 if there is a component with more than 3 inputs.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Kit_DsdFindLargeBox_rec( Kit_DsdNtk_t * pNtk, int Id, int Size )
+{
+ Kit_DsdObj_t * pObj;
+ unsigned iLit, i, RetValue;
+ pObj = Kit_DsdNtkObj( pNtk, Id );
+ if ( pObj == NULL )
+ return 0;
+ if ( pObj->Type == KIT_DSD_PRIME && (int)pObj->nFans > Size )
+ return 1;
+ RetValue = 0;
+ Kit_DsdObjForEachFanin( pNtk, pObj, iLit, i )
+ RetValue |= Kit_DsdFindLargeBox_rec( pNtk, Kit_DsdLit2Var(iLit), Size );
+ return RetValue;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns 1 if there is a component with more than 3 inputs.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Kit_DsdFindLargeBox( Kit_DsdNtk_t * pNtk, int Size )
+{
+ return Kit_DsdFindLargeBox_rec( pNtk, Kit_DsdLit2Var(pNtk->Root), Size );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns 1 if the non-DSD 4-var func is implementable with two 3-LUTs.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Kit_DsdRootNodeHasCommonVars( Kit_DsdObj_t * pObj0, Kit_DsdObj_t * pObj1 )
+{
+ unsigned i, k;
+ for ( i = 0; i < pObj0->nFans; i++ )
+ {
+ if ( Kit_DsdLit2Var(pObj0->pFans[i]) >= 4 )
+ continue;
+ for ( k = 0; k < pObj1->nFans; k++ )
+ if ( Kit_DsdLit2Var(pObj0->pFans[i]) == Kit_DsdLit2Var(pObj1->pFans[k]) )
+ return 1;
+ }
+ return 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns 1 if the non-DSD 4-var func is implementable with two 3-LUTs.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Kit_DsdCheckVar4Dec2( Kit_DsdNtk_t * pNtk0, Kit_DsdNtk_t * pNtk1 )
+{
+ assert( pNtk0->nVars == 4 );
+ assert( pNtk1->nVars == 4 );
+ if ( Kit_DsdFindLargeBox(pNtk0, 2) )
+ return 0;
+ if ( Kit_DsdFindLargeBox(pNtk1, 2) )
+ return 0;
+ return Kit_DsdRootNodeHasCommonVars( Kit_DsdNtkRoot(pNtk0), Kit_DsdNtkRoot(pNtk1) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs decomposition of the node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_DsdDecompose_rec( Kit_DsdNtk_t * pNtk, Kit_DsdObj_t * pObj, unsigned uSupp, unsigned char * pPar, int nDecMux )
+{
+ Kit_DsdObj_t * pRes, * pRes0, * pRes1;
+ int nWords = Kit_TruthWordNum(pObj->nFans);
+ unsigned * pTruth = Kit_DsdObjTruth(pObj);
+ unsigned * pCofs2[2] = { pNtk->pMem, pNtk->pMem + nWords };
+ unsigned * pCofs4[2][2] = { {pNtk->pMem + 2 * nWords, pNtk->pMem + 3 * nWords}, {pNtk->pMem + 4 * nWords, pNtk->pMem + 5 * nWords} };
+ int i, iLit0, iLit1, nFans0, nFans1, nPairs;
+ int fEquals[2][2], fOppos, fPairs[4][4];
+ unsigned j, k, nFansNew, uSupp0, uSupp1;
+
+ assert( pObj->nFans > 0 );
+ assert( pObj->Type == KIT_DSD_PRIME );
+ assert( uSupp == (uSupp0 = (unsigned)Kit_TruthSupport(pTruth, pObj->nFans)) );
+
+ // compress the truth table
+ if ( uSupp != Kit_BitMask(pObj->nFans) )
+ {
+ nFansNew = Kit_WordCountOnes(uSupp);
+ Kit_TruthShrink( pNtk->pMem, pTruth, nFansNew, pObj->nFans, uSupp, 1 );
+ for ( j = k = 0; j < pObj->nFans; j++ )
+ if ( uSupp & (1 << j) )
+ pObj->pFans[k++] = pObj->pFans[j];
+ assert( k == nFansNew );
+ pObj->nFans = k;
+ uSupp = Kit_BitMask(pObj->nFans);
+ }
+
+ // consider the single variable case
+ if ( pObj->nFans == 1 )
+ {
+ pObj->Type = KIT_DSD_NONE;
+ if ( pTruth[0] == 0x55555555 )
+ pObj->pFans[0] = Kit_DsdLitNot(pObj->pFans[0]);
+ else
+ assert( pTruth[0] == 0xAAAAAAAA );
+ // update the parent pointer
+ *pPar = Kit_DsdLitNotCond( pObj->pFans[0], Kit_DsdLitIsCompl(*pPar) );
+ return;
+ }
+
+ // decompose the output
+ if ( !pObj->fMark )
+ for ( i = pObj->nFans - 1; i >= 0; i-- )
+ {
+ // get the two-variable cofactors
+ Kit_TruthCofactor0New( pCofs2[0], pTruth, pObj->nFans, i );
+ Kit_TruthCofactor1New( pCofs2[1], pTruth, pObj->nFans, i );
+// assert( !Kit_TruthVarInSupport( pCofs2[0], pObj->nFans, i) );
+// assert( !Kit_TruthVarInSupport( pCofs2[1], pObj->nFans, i) );
+ // get the constant cofs
+ fEquals[0][0] = Kit_TruthIsConst0( pCofs2[0], pObj->nFans );
+ fEquals[0][1] = Kit_TruthIsConst0( pCofs2[1], pObj->nFans );
+ fEquals[1][0] = Kit_TruthIsConst1( pCofs2[0], pObj->nFans );
+ fEquals[1][1] = Kit_TruthIsConst1( pCofs2[1], pObj->nFans );
+ fOppos = Kit_TruthIsOpposite( pCofs2[0], pCofs2[1], pObj->nFans );
+ assert( !Kit_TruthIsEqual(pCofs2[0], pCofs2[1], pObj->nFans) );
+ if ( fEquals[0][0] + fEquals[0][1] + fEquals[1][0] + fEquals[1][1] + fOppos == 0 )
+ {
+ // check the MUX decomposition
+ uSupp0 = Kit_TruthSupport( pCofs2[0], pObj->nFans );
+ uSupp1 = Kit_TruthSupport( pCofs2[1], pObj->nFans );
+ assert( uSupp == (uSupp0 | uSupp1 | (1<<i)) );
+ if ( uSupp0 & uSupp1 )
+ continue;
+ // perform MUX decomposition
+ pRes0 = Kit_DsdObjAlloc( pNtk, KIT_DSD_PRIME, pObj->nFans );
+ pRes1 = Kit_DsdObjAlloc( pNtk, KIT_DSD_PRIME, pObj->nFans );
+ for ( k = 0; k < pObj->nFans; k++ )
+ {
+ pRes0->pFans[k] = (uSupp0 & (1 << k))? pObj->pFans[k] : 127;
+ pRes1->pFans[k] = (uSupp1 & (1 << k))? pObj->pFans[k] : 127;
+ }
+ Kit_TruthCopy( Kit_DsdObjTruth(pRes0), pCofs2[0], pObj->nFans );
+ Kit_TruthCopy( Kit_DsdObjTruth(pRes1), pCofs2[1], pObj->nFans );
+ // update the current one
+ assert( pObj->Type == KIT_DSD_PRIME );
+ pTruth[0] = 0xCACACACA;
+ pObj->nFans = 3;
+ pObj->pFans[2] = pObj->pFans[i];
+ pObj->pFans[0] = 2*pRes0->Id; pRes0->nRefs++;
+ pObj->pFans[1] = 2*pRes1->Id; pRes1->nRefs++;
+ // call recursively
+ Kit_DsdDecompose_rec( pNtk, pRes0, uSupp0, pObj->pFans + 0, nDecMux );
+ Kit_DsdDecompose_rec( pNtk, pRes1, uSupp1, pObj->pFans + 1, nDecMux );
+ return;
+ }
+
+ // create the new node
+ pRes = Kit_DsdObjAlloc( pNtk, KIT_DSD_AND, 2 );
+ pRes->nRefs++;
+ pRes->nFans = 2;
+ pRes->pFans[0] = pObj->pFans[i]; pObj->pFans[i] = 127; uSupp &= ~(1 << i);
+ pRes->pFans[1] = 2*pObj->Id;
+ // update the parent pointer
+ *pPar = Kit_DsdLitNotCond( 2 * pRes->Id, Kit_DsdLitIsCompl(*pPar) );
+ // consider different decompositions
+ if ( fEquals[0][0] )
+ {
+ Kit_TruthCopy( pTruth, pCofs2[1], pObj->nFans );
+ }
+ else if ( fEquals[0][1] )
+ {
+ pRes->pFans[0] = Kit_DsdLitNot(pRes->pFans[0]);
+ Kit_TruthCopy( pTruth, pCofs2[0], pObj->nFans );
+ }
+ else if ( fEquals[1][0] )
+ {
+ *pPar = Kit_DsdLitNot(*pPar);
+ pRes->pFans[1] = Kit_DsdLitNot(pRes->pFans[1]);
+ Kit_TruthCopy( pTruth, pCofs2[1], pObj->nFans );
+ }
+ else if ( fEquals[1][1] )
+ {
+ *pPar = Kit_DsdLitNot(*pPar);
+ pRes->pFans[0] = Kit_DsdLitNot(pRes->pFans[0]);
+ pRes->pFans[1] = Kit_DsdLitNot(pRes->pFans[1]);
+ Kit_TruthCopy( pTruth, pCofs2[0], pObj->nFans );
+ }
+ else if ( fOppos )
+ {
+ pRes->Type = KIT_DSD_XOR;
+ Kit_TruthCopy( pTruth, pCofs2[0], pObj->nFans );
+ }
+ else
+ assert( 0 );
+ // decompose the remainder
+ assert( Kit_DsdObjTruth(pObj) == pTruth );
+ Kit_DsdDecompose_rec( pNtk, pObj, uSupp, pRes->pFans + 1, nDecMux );
+ return;
+ }
+ pObj->fMark = 1;
+
+ // decompose the input
+ for ( i = pObj->nFans - 1; i >= 0; i-- )
+ {
+ assert( Kit_TruthVarInSupport( pTruth, pObj->nFans, i ) );
+ // get the single variale cofactors
+ Kit_TruthCofactor0New( pCofs2[0], pTruth, pObj->nFans, i );
+ Kit_TruthCofactor1New( pCofs2[1], pTruth, pObj->nFans, i );
+ // check the existence of MUX decomposition
+ uSupp0 = Kit_TruthSupport( pCofs2[0], pObj->nFans );
+ uSupp1 = Kit_TruthSupport( pCofs2[1], pObj->nFans );
+ assert( uSupp == (uSupp0 | uSupp1 | (1<<i)) );
+ // if one of the cofs is a constant, it is time to check the output again
+ if ( uSupp0 == 0 || uSupp1 == 0 )
+ {
+ pObj->fMark = 0;
+ Kit_DsdDecompose_rec( pNtk, pObj, uSupp, pPar, nDecMux );
+ return;
+ }
+ assert( uSupp0 && uSupp1 );
+ // get the number of unique variables
+ nFans0 = Kit_WordCountOnes( uSupp0 & ~uSupp1 );
+ nFans1 = Kit_WordCountOnes( uSupp1 & ~uSupp0 );
+ if ( nFans0 == 1 && nFans1 == 1 )
+ {
+ // get the cofactors w.r.t. the unique variables
+ iLit0 = Kit_WordFindFirstBit( uSupp0 & ~uSupp1 );
+ iLit1 = Kit_WordFindFirstBit( uSupp1 & ~uSupp0 );
+ // get four cofactors
+ Kit_TruthCofactor0New( pCofs4[0][0], pCofs2[0], pObj->nFans, iLit0 );
+ Kit_TruthCofactor1New( pCofs4[0][1], pCofs2[0], pObj->nFans, iLit0 );
+ Kit_TruthCofactor0New( pCofs4[1][0], pCofs2[1], pObj->nFans, iLit1 );
+ Kit_TruthCofactor1New( pCofs4[1][1], pCofs2[1], pObj->nFans, iLit1 );
+ // check existence conditions
+ fEquals[0][0] = Kit_TruthIsEqual( pCofs4[0][0], pCofs4[1][0], pObj->nFans );
+ fEquals[0][1] = Kit_TruthIsEqual( pCofs4[0][1], pCofs4[1][1], pObj->nFans );
+ fEquals[1][0] = Kit_TruthIsEqual( pCofs4[0][0], pCofs4[1][1], pObj->nFans );
+ fEquals[1][1] = Kit_TruthIsEqual( pCofs4[0][1], pCofs4[1][0], pObj->nFans );
+ if ( (fEquals[0][0] && fEquals[0][1]) || (fEquals[1][0] && fEquals[1][1]) )
+ {
+ // construct the MUX
+ pRes = Kit_DsdObjAlloc( pNtk, KIT_DSD_PRIME, 3 );
+ Kit_DsdObjTruth(pRes)[0] = 0xCACACACA;
+ pRes->nRefs++;
+ pRes->nFans = 3;
+ pRes->pFans[0] = pObj->pFans[iLit0]; pObj->pFans[iLit0] = 127; uSupp &= ~(1 << iLit0);
+ pRes->pFans[1] = pObj->pFans[iLit1]; pObj->pFans[iLit1] = 127; uSupp &= ~(1 << iLit1);
+ pRes->pFans[2] = pObj->pFans[i]; pObj->pFans[i] = 2 * pRes->Id; // remains in support
+ // update the node
+// if ( fEquals[0][0] && fEquals[0][1] )
+// Kit_TruthMuxVar( pTruth, pCofs4[0][0], pCofs4[0][1], pObj->nFans, i );
+// else
+// Kit_TruthMuxVar( pTruth, pCofs4[0][1], pCofs4[0][0], pObj->nFans, i );
+ Kit_TruthMuxVar( pTruth, pCofs4[1][0], pCofs4[1][1], pObj->nFans, i );
+ if ( fEquals[1][0] && fEquals[1][1] )
+ pRes->pFans[0] = Kit_DsdLitNot(pRes->pFans[0]);
+ // decompose the remainder
+ Kit_DsdDecompose_rec( pNtk, pObj, uSupp, pPar, nDecMux );
+ return;
+ }
+ }
+
+ // try other inputs
+ for ( k = i+1; k < pObj->nFans; k++ )
+ {
+ // get four cofactors ik
+ Kit_TruthCofactor0New( pCofs4[0][0], pCofs2[0], pObj->nFans, k ); // 00
+ Kit_TruthCofactor1New( pCofs4[0][1], pCofs2[0], pObj->nFans, k ); // 01
+ Kit_TruthCofactor0New( pCofs4[1][0], pCofs2[1], pObj->nFans, k ); // 10
+ Kit_TruthCofactor1New( pCofs4[1][1], pCofs2[1], pObj->nFans, k ); // 11
+ // compare equal pairs
+ fPairs[0][1] = fPairs[1][0] = Kit_TruthIsEqual( pCofs4[0][0], pCofs4[0][1], pObj->nFans );
+ fPairs[0][2] = fPairs[2][0] = Kit_TruthIsEqual( pCofs4[0][0], pCofs4[1][0], pObj->nFans );
+ fPairs[0][3] = fPairs[3][0] = Kit_TruthIsEqual( pCofs4[0][0], pCofs4[1][1], pObj->nFans );
+ fPairs[1][2] = fPairs[2][1] = Kit_TruthIsEqual( pCofs4[0][1], pCofs4[1][0], pObj->nFans );
+ fPairs[1][3] = fPairs[3][1] = Kit_TruthIsEqual( pCofs4[0][1], pCofs4[1][1], pObj->nFans );
+ fPairs[2][3] = fPairs[3][2] = Kit_TruthIsEqual( pCofs4[1][0], pCofs4[1][1], pObj->nFans );
+ nPairs = fPairs[0][1] + fPairs[0][2] + fPairs[0][3] + fPairs[1][2] + fPairs[1][3] + fPairs[2][3];
+ if ( nPairs != 3 && nPairs != 2 )
+ continue;
+
+ // decomposition exists
+ pRes = Kit_DsdObjAlloc( pNtk, KIT_DSD_AND, 2 );
+ pRes->nRefs++;
+ pRes->nFans = 2;
+ pRes->pFans[0] = pObj->pFans[k]; pObj->pFans[k] = 2 * pRes->Id; // remains in support
+ pRes->pFans[1] = pObj->pFans[i]; pObj->pFans[i] = 127; uSupp &= ~(1 << i);
+ if ( !fPairs[0][1] && !fPairs[0][2] && !fPairs[0][3] ) // 00
+ {
+ pRes->pFans[0] = Kit_DsdLitNot(pRes->pFans[0]);
+ pRes->pFans[1] = Kit_DsdLitNot(pRes->pFans[1]);
+ Kit_TruthMuxVar( pTruth, pCofs4[1][1], pCofs4[0][0], pObj->nFans, k );
+ }
+ else if ( !fPairs[1][0] && !fPairs[1][2] && !fPairs[1][3] ) // 01
+ {
+ pRes->pFans[1] = Kit_DsdLitNot(pRes->pFans[1]);
+ Kit_TruthMuxVar( pTruth, pCofs4[0][0], pCofs4[0][1], pObj->nFans, k );
+ }
+ else if ( !fPairs[2][0] && !fPairs[2][1] && !fPairs[2][3] ) // 10
+ {
+ pRes->pFans[0] = Kit_DsdLitNot(pRes->pFans[0]);
+ Kit_TruthMuxVar( pTruth, pCofs4[0][0], pCofs4[1][0], pObj->nFans, k );
+ }
+ else if ( !fPairs[3][0] && !fPairs[3][1] && !fPairs[3][2] ) // 11
+ {
+// unsigned uSupp0 = Kit_TruthSupport(pCofs4[0][0], pObj->nFans);
+// unsigned uSupp1 = Kit_TruthSupport(pCofs4[1][1], pObj->nFans);
+// unsigned uSupp;
+// Extra_PrintBinary( stdout, &uSupp0, pObj->nFans ); printf( "\n" );
+// Extra_PrintBinary( stdout, &uSupp1, pObj->nFans ); printf( "\n" );
+ Kit_TruthMuxVar( pTruth, pCofs4[0][0], pCofs4[1][1], pObj->nFans, k );
+// uSupp = Kit_TruthSupport(pTruth, pObj->nFans);
+// Extra_PrintBinary( stdout, &uSupp, pObj->nFans ); printf( "\n" ); printf( "\n" );
+ }
+ else
+ {
+ assert( fPairs[0][3] && fPairs[1][2] );
+ pRes->Type = KIT_DSD_XOR;;
+ Kit_TruthMuxVar( pTruth, pCofs4[0][0], pCofs4[0][1], pObj->nFans, k );
+ }
+ // decompose the remainder
+ Kit_DsdDecompose_rec( pNtk, pObj, uSupp, pPar, nDecMux );
+ return;
+ }
+ }
+/*
+ // if all decomposition methods failed and we are still above the limit, perform MUX-decomposition
+ if ( nDecMux > 0 && (int)pObj->nFans > nDecMux )
+ {
+ int iBestVar = Kit_TruthBestCofVar( pTruth, pObj->nFans, pCofs2[0], pCofs2[1] );
+ uSupp0 = Kit_TruthSupport( pCofs2[0], pObj->nFans );
+ uSupp1 = Kit_TruthSupport( pCofs2[1], pObj->nFans );
+ // perform MUX decomposition
+ pRes0 = Kit_DsdObjAlloc( pNtk, KIT_DSD_PRIME, pObj->nFans );
+ pRes1 = Kit_DsdObjAlloc( pNtk, KIT_DSD_PRIME, pObj->nFans );
+ for ( k = 0; k < pObj->nFans; k++ )
+ pRes0->pFans[k] = pRes1->pFans[k] = pObj->pFans[k];
+ Kit_TruthCopy( Kit_DsdObjTruth(pRes0), pCofs2[0], pObj->nFans );
+ Kit_TruthCopy( Kit_DsdObjTruth(pRes1), pCofs2[1], pObj->nFans );
+ // update the current one
+ assert( pObj->Type == KIT_DSD_PRIME );
+ pTruth[0] = 0xCACACACA;
+ pObj->nFans = 3;
+ pObj->pFans[0] = 2*pRes0->Id; pRes0->nRefs++;
+ pObj->pFans[1] = 2*pRes1->Id; pRes1->nRefs++;
+ pObj->pFans[2] = pObj->pFans[iBestVar];
+ // call recursively
+ Kit_DsdDecompose_rec( pNtk, pRes0, uSupp0, pObj->pFans + 0, nDecMux );
+ Kit_DsdDecompose_rec( pNtk, pRes1, uSupp1, pObj->pFans + 1, nDecMux );
+ }
+*/
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs decomposition of the truth table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Kit_DsdNtk_t * Kit_DsdDecomposeInt( unsigned * pTruth, int nVars, int nDecMux )
+{
+ Kit_DsdNtk_t * pNtk;
+ Kit_DsdObj_t * pObj;
+ unsigned uSupp;
+ int i, nVarsReal;
+ assert( nVars <= 16 );
+ pNtk = Kit_DsdNtkAlloc( nVars );
+ pNtk->Root = Kit_DsdVar2Lit( pNtk->nVars, 0 );
+ // create the first node
+ pObj = Kit_DsdObjAlloc( pNtk, KIT_DSD_PRIME, nVars );
+ assert( pNtk->pNodes[0] == pObj );
+ for ( i = 0; i < nVars; i++ )
+ pObj->pFans[i] = Kit_DsdVar2Lit( i, 0 );
+ Kit_TruthCopy( Kit_DsdObjTruth(pObj), pTruth, nVars );
+ uSupp = Kit_TruthSupport( pTruth, nVars );
+ // consider special cases
+ nVarsReal = Kit_WordCountOnes( uSupp );
+ if ( nVarsReal == 0 )
+ {
+ pObj->Type = KIT_DSD_CONST1;
+ pObj->nFans = 0;
+ if ( pTruth[0] == 0 )
+ pNtk->Root = Kit_DsdLitNot(pNtk->Root);
+ return pNtk;
+ }
+ if ( nVarsReal == 1 )
+ {
+ pObj->Type = KIT_DSD_VAR;
+ pObj->nFans = 1;
+ pObj->pFans[0] = Kit_DsdVar2Lit( Kit_WordFindFirstBit(uSupp), (pTruth[0] & 1) );
+ return pNtk;
+ }
+ Kit_DsdDecompose_rec( pNtk, pNtk->pNodes[0], uSupp, &pNtk->Root, nDecMux );
+ return pNtk;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs decomposition of the truth table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Kit_DsdNtk_t * Kit_DsdDecompose( unsigned * pTruth, int nVars )
+{
+ return Kit_DsdDecomposeInt( pTruth, nVars, 0 );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs decomposition of the truth table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Kit_DsdNtk_t * Kit_DsdDecomposeExpand( unsigned * pTruth, int nVars )
+{
+ Kit_DsdNtk_t * pNtk, * pTemp;
+ pNtk = Kit_DsdDecomposeInt( pTruth, nVars, 0 );
+ pNtk = Kit_DsdExpand( pTemp = pNtk );
+ Kit_DsdNtkFree( pTemp );
+ return pNtk;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs decomposition of the truth table.]
+
+ Description [Uses MUXes to break-down large prime nodes.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Kit_DsdNtk_t * Kit_DsdDecomposeMux( unsigned * pTruth, int nVars, int nDecMux )
+{
+ return Kit_DsdDecomposeInt( pTruth, nVars, nDecMux );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs decomposition of the truth table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Kit_DsdTestCofs( Kit_DsdNtk_t * pNtk, unsigned * pTruthInit )
+{
+ Kit_DsdNtk_t * pNtk0, * pNtk1, * pTemp;
+// Kit_DsdObj_t * pRoot;
+ unsigned * pCofs2[2] = { pNtk->pMem, pNtk->pMem + Kit_TruthWordNum(pNtk->nVars) };
+ unsigned i, * pTruth;
+ int fVerbose = 1;
+ int RetValue = 0;
+
+ pTruth = pTruthInit;
+// pRoot = Kit_DsdNtkRoot(pNtk);
+// pTruth = Kit_DsdObjTruth(pRoot);
+// assert( pRoot->nFans == pNtk->nVars );
+
+ if ( fVerbose )
+ {
+ printf( "Function: " );
+// Extra_PrintBinary( stdout, pTruth, (1 << pNtk->nVars) );
+ Extra_PrintHexadecimal( stdout, pTruth, pNtk->nVars );
+ printf( "\n" );
+ Kit_DsdPrint( stdout, pNtk );
+ }
+ for ( i = 0; i < pNtk->nVars; i++ )
+ {
+ Kit_TruthCofactor0New( pCofs2[0], pTruth, pNtk->nVars, i );
+ pNtk0 = Kit_DsdDecompose( pCofs2[0], pNtk->nVars );
+ pNtk0 = Kit_DsdExpand( pTemp = pNtk0 );
+ Kit_DsdNtkFree( pTemp );
+
+ if ( fVerbose )
+ {
+ printf( "Cof%d0: ", i );
+ Kit_DsdPrint( stdout, pNtk0 );
+ }
+
+ Kit_TruthCofactor1New( pCofs2[1], pTruth, pNtk->nVars, i );
+ pNtk1 = Kit_DsdDecompose( pCofs2[1], pNtk->nVars );
+ pNtk1 = Kit_DsdExpand( pTemp = pNtk1 );
+ Kit_DsdNtkFree( pTemp );
+
+ if ( fVerbose )
+ {
+ printf( "Cof%d1: ", i );
+ Kit_DsdPrint( stdout, pNtk1 );
+ }
+
+// if ( Kit_DsdCheckVar4Dec2( pNtk0, pNtk1 ) )
+// RetValue = 1;
+
+ Kit_DsdNtkFree( pNtk0 );
+ Kit_DsdNtkFree( pNtk1 );
+ }
+ if ( fVerbose )
+ printf( "\n" );
+
+ return RetValue;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs decomposition of the truth table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Kit_DsdEval( unsigned * pTruth, int nVars, int nLutSize )
+{
+ Kit_DsdMan_t * p;
+ Kit_DsdNtk_t * pNtk;
+ unsigned * pTruthC;
+ int Result;
+
+ // decompose the function
+ pNtk = Kit_DsdDecompose( pTruth, nVars );
+ Result = Kit_DsdCountLuts( pNtk, nLutSize );
+// printf( "\n" );
+// Kit_DsdPrint( stdout, pNtk );
+// printf( "Eval = %d.\n", Result );
+
+ // recompute the truth table
+ p = Kit_DsdManAlloc( nVars, Kit_DsdNtkObjNum(pNtk) );
+ pTruthC = Kit_DsdTruthCompute( p, pNtk );
+ if ( !Kit_TruthIsEqual( pTruth, pTruthC, nVars ) )
+ printf( "Verification failed.\n" );
+ Kit_DsdManFree( p );
+
+ Kit_DsdNtkFree( pNtk );
+ return Result;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs decomposition of the truth table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_DsdVerify( Kit_DsdNtk_t * pNtk, unsigned * pTruth, int nVars )
+{
+ Kit_DsdMan_t * p;
+ unsigned * pTruthC;
+ p = Kit_DsdManAlloc( nVars, Kit_DsdNtkObjNum(pNtk)+2 );
+ pTruthC = Kit_DsdTruthCompute( p, pNtk );
+ if ( !Extra_TruthIsEqual( pTruth, pTruthC, nVars ) )
+ printf( "Verification failed.\n" );
+ Kit_DsdManFree( p );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs decomposition of the truth table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_DsdTest( unsigned * pTruth, int nVars )
+{
+ Kit_DsdMan_t * p;
+ unsigned * pTruthC;
+ Kit_DsdNtk_t * pNtk, * pTemp;
+ pNtk = Kit_DsdDecompose( pTruth, nVars );
+
+// if ( Kit_DsdFindLargeBox(pNtk, Kit_DsdLit2Var(pNtk->Root)) )
+// Kit_DsdPrint( stdout, pNtk );
+
+// if ( Kit_DsdNtkRoot(pNtk)->nFans == (unsigned)nVars && nVars == 6 )
+
+ printf( "\n" );
+ Kit_DsdPrint( stdout, pNtk );
+
+ pNtk = Kit_DsdExpand( pTemp = pNtk );
+ Kit_DsdNtkFree( pTemp );
+
+ Kit_DsdPrint( stdout, pNtk );
+
+// if ( Kit_DsdFindLargeBox(pNtk, Kit_DsdLit2Var(pNtk->Root)) )
+// Kit_DsdTestCofs( pNtk, pTruth );
+
+ // recompute the truth table
+ p = Kit_DsdManAlloc( nVars, Kit_DsdNtkObjNum(pNtk) );
+ pTruthC = Kit_DsdTruthCompute( p, pNtk );
+// Extra_PrintBinary( stdout, pTruth, 1 << nVars ); printf( "\n" );
+// Extra_PrintBinary( stdout, pTruthC, 1 << nVars ); printf( "\n" );
+ if ( Extra_TruthIsEqual( pTruth, pTruthC, nVars ) )
+ {
+// printf( "Verification is okay.\n" );
+ }
+ else
+ printf( "Verification failed.\n" );
+ Kit_DsdManFree( p );
+
+
+ Kit_DsdNtkFree( pNtk );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs decomposition of the truth table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_DsdPrecompute4Vars()
+{
+ Kit_DsdMan_t * p;
+ Kit_DsdNtk_t * pNtk, * pTemp;
+ FILE * pFile;
+ unsigned uTruth;
+ unsigned * pTruthC;
+ char Buffer[256];
+ int i, RetValue;
+ int Counter1 = 0, Counter2 = 0;
+
+ pFile = fopen( "5npn/npn4.txt", "r" );
+ for ( i = 0; fgets( Buffer, 100, pFile ); i++ )
+ {
+ Buffer[6] = 0;
+ Extra_ReadHexadecimal( &uTruth, Buffer+2, 4 );
+ uTruth = ((uTruth & 0xffff) << 16) | (uTruth & 0xffff);
+ pNtk = Kit_DsdDecompose( &uTruth, 4 );
+
+ pNtk = Kit_DsdExpand( pTemp = pNtk );
+ Kit_DsdNtkFree( pTemp );
+
+
+ if ( Kit_DsdFindLargeBox(pNtk, 3) )
+ {
+// RetValue = 0;
+ RetValue = Kit_DsdTestCofs( pNtk, &uTruth );
+ printf( "\n" );
+ printf( "%3d : Non-DSD function %s %s\n", i, Buffer + 2, RetValue? "implementable" : "" );
+ Kit_DsdPrint( stdout, pNtk );
+
+ Counter1++;
+ Counter2 += RetValue;
+ }
+
+/*
+ printf( "%3d : Function %s ", i, Buffer + 2 );
+ if ( !Kit_DsdFindLargeBox(pNtk, 3) )
+ Kit_DsdPrint( stdout, pNtk );
+ else
+ printf( "\n" );
+*/
+
+ p = Kit_DsdManAlloc( 4, Kit_DsdNtkObjNum(pNtk) );
+ pTruthC = Kit_DsdTruthCompute( p, pNtk );
+ if ( !Extra_TruthIsEqual( &uTruth, pTruthC, 4 ) )
+ printf( "Verification failed.\n" );
+ Kit_DsdManFree( p );
+
+ Kit_DsdNtkFree( pNtk );
+ }
+ fclose( pFile );
+ printf( "non-DSD = %d implementable = %d\n", Counter1, Counter2 );
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Returns the set of cofactoring variables.]
+
+ Description [If there is no DSD components returns 0.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Kit_DsdCofactoringGetVars( Kit_DsdNtk_t ** ppNtk, int nSize, int * pVars )
+{
+ Kit_DsdObj_t * pObj;
+ unsigned m;
+ int i, k, v, Var, nVars, iFaninLit;
+ // go through all the networks
+ nVars = 0;
+ for ( i = 0; i < nSize; i++ )
+ {
+ // go through the prime objects of each networks
+ Kit_DsdNtkForEachObj( ppNtk[i], pObj, k )
+ {
+ if ( pObj->Type != KIT_DSD_PRIME )
+ continue;
+ if ( pObj->nFans == 3 )
+ continue;
+ // collect direct fanin variables
+ Kit_DsdObjForEachFanin( ppNtk[i], pObj, iFaninLit, m )
+ {
+ if ( !Kit_DsdLitIsLeaf(ppNtk[i], iFaninLit) )
+ continue;
+ // add it to the array
+ Var = Kit_DsdLit2Var( iFaninLit );
+ for ( v = 0; v < nVars; v++ )
+ if ( pVars[v] == Var )
+ break;
+ if ( v == nVars )
+ pVars[nVars++] = Var;
+ }
+ }
+ }
+ return nVars;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Canonical decomposition into completely DSD-structure.]
+
+ Description [Returns the number of cofactoring steps. Also returns
+ the cofactoring variables in pVars.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Kit_DsdCofactoring( unsigned * pTruth, int nVars, int * pCofVars, int nLimit, int fVerbose )
+{
+ Kit_DsdNtk_t * ppNtks[5][16] = {0}, * pTemp;
+ unsigned * ppCofs[5][16];
+ int pTryVars[16], nTryVars;
+ int nPrimeSizeMin, nPrimeSizeMax, nPrimeSizeCur;
+ int nSuppSizeMin, nSuppSizeMax, iVarBest;
+ int i, k, v, nStep, nSize, nMemSize;
+ assert( nLimit < 5 );
+
+ // allocate storage for cofactors
+ nMemSize = Kit_TruthWordNum(nVars);
+ ppCofs[0][0] = ALLOC( unsigned, 80 * nMemSize );
+ nSize = 0;
+ for ( i = 0; i < 5; i++ )
+ for ( k = 0; k < 16; k++ )
+ ppCofs[i][k] = ppCofs[0][0] + nMemSize * nSize++;
+ assert( nSize == 80 );
+
+ // copy the function
+ Kit_TruthCopy( ppCofs[0][0], pTruth, nVars );
+ ppNtks[0][0] = Kit_DsdDecompose( ppCofs[0][0], nVars );
+
+ if ( fVerbose )
+ printf( "\nProcessing prime function with %d support variables:\n", nVars );
+
+ // perform recursive cofactoring
+ for ( nStep = 0; nStep < nLimit; nStep++ )
+ {
+ nSize = (1 << nStep);
+ // find the variables to use in the cofactoring step
+ nTryVars = Kit_DsdCofactoringGetVars( ppNtks[nStep], nSize, pTryVars );
+ if ( nTryVars == 0 )
+ break;
+ // cofactor w.r.t. the above variables
+ iVarBest = -1;
+ nPrimeSizeMin = 10000;
+ nSuppSizeMin = 10000;
+ for ( v = 0; v < nTryVars; v++ )
+ {
+ nPrimeSizeMax = 0;
+ nSuppSizeMax = 0;
+ for ( i = 0; i < nSize; i++ )
+ {
+ // cofactor and decompose cofactors
+ Kit_TruthCofactor0New( ppCofs[nStep+1][2*i+0], ppCofs[nStep][i], nVars, pTryVars[v] );
+ Kit_TruthCofactor1New( ppCofs[nStep+1][2*i+1], ppCofs[nStep][i], nVars, pTryVars[v] );
+ ppNtks[nStep+1][2*i+0] = Kit_DsdDecompose( ppCofs[nStep+1][2*i+0], nVars );
+ ppNtks[nStep+1][2*i+1] = Kit_DsdDecompose( ppCofs[nStep+1][2*i+1], nVars );
+ // compute the largest non-decomp block
+ nPrimeSizeCur = Kit_DsdNonDsdSizeMax(ppNtks[nStep+1][2*i+0]);
+ nPrimeSizeMax = KIT_MAX( nPrimeSizeMax, nPrimeSizeCur );
+ nPrimeSizeCur = Kit_DsdNonDsdSizeMax(ppNtks[nStep+1][2*i+1]);
+ nPrimeSizeMax = KIT_MAX( nPrimeSizeMax, nPrimeSizeCur );
+ // compute the sum total of supports
+ nSuppSizeMax += Kit_TruthSupportSize( ppCofs[nStep+1][2*i+0], nVars );
+ nSuppSizeMax += Kit_TruthSupportSize( ppCofs[nStep+1][2*i+1], nVars );
+ // free the networks
+ Kit_DsdNtkFree( ppNtks[nStep+1][2*i+0] );
+ Kit_DsdNtkFree( ppNtks[nStep+1][2*i+1] );
+ }
+ // find the min max support size of the prime component
+ if ( nPrimeSizeMin > nPrimeSizeMax || (nPrimeSizeMin == nPrimeSizeMax && nSuppSizeMin > nSuppSizeMax) )
+ {
+ nPrimeSizeMin = nPrimeSizeMax;
+ nSuppSizeMin = nSuppSizeMax;
+ iVarBest = pTryVars[v];
+ }
+ }
+ assert( iVarBest != -1 );
+ // save the variable
+ if ( pCofVars )
+ pCofVars[nStep] = iVarBest;
+ // cofactor w.r.t. the best
+ for ( i = 0; i < nSize; i++ )
+ {
+ Kit_TruthCofactor0New( ppCofs[nStep+1][2*i+0], ppCofs[nStep][i], nVars, iVarBest );
+ Kit_TruthCofactor1New( ppCofs[nStep+1][2*i+1], ppCofs[nStep][i], nVars, iVarBest );
+ ppNtks[nStep+1][2*i+0] = Kit_DsdDecompose( ppCofs[nStep+1][2*i+0], nVars );
+ ppNtks[nStep+1][2*i+1] = Kit_DsdDecompose( ppCofs[nStep+1][2*i+1], nVars );
+ if ( fVerbose )
+ {
+ ppNtks[nStep+1][2*i+0] = Kit_DsdExpand( pTemp = ppNtks[nStep+1][2*i+0] );
+ Kit_DsdNtkFree( pTemp );
+ ppNtks[nStep+1][2*i+1] = Kit_DsdExpand( pTemp = ppNtks[nStep+1][2*i+1] );
+ Kit_DsdNtkFree( pTemp );
+
+ printf( "Cof%d%d: ", nStep+1, 2*i+0 );
+ Kit_DsdPrint( stdout, ppNtks[nStep+1][2*i+0] );
+ printf( "Cof%d%d: ", nStep+1, 2*i+1 );
+ Kit_DsdPrint( stdout, ppNtks[nStep+1][2*i+1] );
+ }
+ }
+ }
+
+ // free the networks
+ for ( i = 0; i < 5; i++ )
+ for ( k = 0; k < 16; k++ )
+ if ( ppNtks[i][k] )
+ Kit_DsdNtkFree( ppNtks[i][k] );
+ free( ppCofs[0][0] );
+
+ assert( nStep <= nLimit );
+ return nStep;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Canonical decomposition into completely DSD-structure.]
+
+ Description [Returns the number of cofactoring steps. Also returns
+ the cofactoring variables in pVars.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_DsdPrintCofactors( unsigned * pTruth, int nVars, int nCofLevel, int fVerbose )
+{
+ Kit_DsdNtk_t * ppNtks[32] = {0}, * pTemp;
+ unsigned * ppCofs[5][16];
+ int piCofVar[5];
+ int nPrimeSizeMax, nPrimeSizeCur, nSuppSizeMax;
+ int i, k, v1, v2, v3, v4, s, nSteps, nSize, nMemSize;
+ assert( nCofLevel < 5 );
+
+ // print the function
+ ppNtks[0] = Kit_DsdDecompose( pTruth, nVars );
+ ppNtks[0] = Kit_DsdExpand( pTemp = ppNtks[0] );
+ Kit_DsdNtkFree( pTemp );
+ if ( fVerbose )
+ Kit_DsdPrint( stdout, ppNtks[0] );
+ Kit_DsdNtkFree( ppNtks[0] );
+
+ // allocate storage for cofactors
+ nMemSize = Kit_TruthWordNum(nVars);
+ ppCofs[0][0] = ALLOC( unsigned, 80 * nMemSize );
+ nSize = 0;
+ for ( i = 0; i < 5; i++ )
+ for ( k = 0; k < 16; k++ )
+ ppCofs[i][k] = ppCofs[0][0] + nMemSize * nSize++;
+ assert( nSize == 80 );
+
+ // copy the function
+ Kit_TruthCopy( ppCofs[0][0], pTruth, nVars );
+
+ if ( nCofLevel == 1 )
+ for ( v1 = 0; v1 < nVars; v1++ )
+ {
+ nSteps = 0;
+ piCofVar[nSteps++] = v1;
+
+ printf( " Variables { " );
+ for ( i = 0; i < nSteps; i++ )
+ printf( "%c ", 'a' + piCofVar[i] );
+ printf( "}\n" );
+
+ // single cofactors
+ for ( s = 1; s <= nSteps; s++ )
+ {
+ for ( k = 0; k < s; k++ )
+ {
+ nSize = (1 << k);
+ for ( i = 0; i < nSize; i++ )
+ {
+ Kit_TruthCofactor0New( ppCofs[k+1][2*i+0], ppCofs[k][i], nVars, piCofVar[k] );
+ Kit_TruthCofactor1New( ppCofs[k+1][2*i+1], ppCofs[k][i], nVars, piCofVar[k] );
+ }
+ }
+ }
+ // compute DSD networks
+ nSize = (1 << nSteps);
+ nPrimeSizeMax = 0;
+ nSuppSizeMax = 0;
+ for ( i = 0; i < nSize; i++ )
+ {
+ ppNtks[i] = Kit_DsdDecompose( ppCofs[nSteps][i], nVars );
+ ppNtks[i] = Kit_DsdExpand( pTemp = ppNtks[i] );
+ Kit_DsdNtkFree( pTemp );
+ if ( fVerbose )
+ {
+ printf( "Cof%d%d: ", nSteps, i );
+ Kit_DsdPrint( stdout, ppNtks[i] );
+ }
+ // compute the largest non-decomp block
+ nPrimeSizeCur = Kit_DsdNonDsdSizeMax(ppNtks[i]);
+ nPrimeSizeMax = KIT_MAX( nPrimeSizeMax, nPrimeSizeCur );
+ Kit_DsdNtkFree( ppNtks[i] );
+ nSuppSizeMax += Kit_TruthSupportSize( ppCofs[nSteps][i], nVars );
+ }
+ printf( "Max = %2d. Supps = %2d.\n", nPrimeSizeMax, nSuppSizeMax );
+ }
+
+ if ( nCofLevel == 2 )
+ for ( v1 = 0; v1 < nVars; v1++ )
+ for ( v2 = v1+1; v2 < nVars; v2++ )
+ {
+ nSteps = 0;
+ piCofVar[nSteps++] = v1;
+ piCofVar[nSteps++] = v2;
+
+ printf( " Variables { " );
+ for ( i = 0; i < nSteps; i++ )
+ printf( "%c ", 'a' + piCofVar[i] );
+ printf( "}\n" );
+
+ // single cofactors
+ for ( s = 1; s <= nSteps; s++ )
+ {
+ for ( k = 0; k < s; k++ )
+ {
+ nSize = (1 << k);
+ for ( i = 0; i < nSize; i++ )
+ {
+ Kit_TruthCofactor0New( ppCofs[k+1][2*i+0], ppCofs[k][i], nVars, piCofVar[k] );
+ Kit_TruthCofactor1New( ppCofs[k+1][2*i+1], ppCofs[k][i], nVars, piCofVar[k] );
+ }
+ }
+ }
+ // compute DSD networks
+ nSize = (1 << nSteps);
+ nPrimeSizeMax = 0;
+ nSuppSizeMax = 0;
+ for ( i = 0; i < nSize; i++ )
+ {
+ ppNtks[i] = Kit_DsdDecompose( ppCofs[nSteps][i], nVars );
+ ppNtks[i] = Kit_DsdExpand( pTemp = ppNtks[i] );
+ Kit_DsdNtkFree( pTemp );
+ if ( fVerbose )
+ {
+ printf( "Cof%d%d: ", nSteps, i );
+ Kit_DsdPrint( stdout, ppNtks[i] );
+ }
+ // compute the largest non-decomp block
+ nPrimeSizeCur = Kit_DsdNonDsdSizeMax(ppNtks[i]);
+ nPrimeSizeMax = KIT_MAX( nPrimeSizeMax, nPrimeSizeCur );
+ Kit_DsdNtkFree( ppNtks[i] );
+ nSuppSizeMax += Kit_TruthSupportSize( ppCofs[nSteps][i], nVars );
+ }
+ printf( "Max = %2d. Supps = %2d.\n", nPrimeSizeMax, nSuppSizeMax );
+ }
+
+ if ( nCofLevel == 3 )
+ for ( v1 = 0; v1 < nVars; v1++ )
+ for ( v2 = v1+1; v2 < nVars; v2++ )
+ for ( v3 = v2+1; v3 < nVars; v3++ )
+ {
+ nSteps = 0;
+ piCofVar[nSteps++] = v1;
+ piCofVar[nSteps++] = v2;
+ piCofVar[nSteps++] = v3;
+
+ printf( " Variables { " );
+ for ( i = 0; i < nSteps; i++ )
+ printf( "%c ", 'a' + piCofVar[i] );
+ printf( "}\n" );
+
+ // single cofactors
+ for ( s = 1; s <= nSteps; s++ )
+ {
+ for ( k = 0; k < s; k++ )
+ {
+ nSize = (1 << k);
+ for ( i = 0; i < nSize; i++ )
+ {
+ Kit_TruthCofactor0New( ppCofs[k+1][2*i+0], ppCofs[k][i], nVars, piCofVar[k] );
+ Kit_TruthCofactor1New( ppCofs[k+1][2*i+1], ppCofs[k][i], nVars, piCofVar[k] );
+ }
+ }
+ }
+ // compute DSD networks
+ nSize = (1 << nSteps);
+ nPrimeSizeMax = 0;
+ nSuppSizeMax = 0;
+ for ( i = 0; i < nSize; i++ )
+ {
+ ppNtks[i] = Kit_DsdDecompose( ppCofs[nSteps][i], nVars );
+ ppNtks[i] = Kit_DsdExpand( pTemp = ppNtks[i] );
+ Kit_DsdNtkFree( pTemp );
+ if ( fVerbose )
+ {
+ printf( "Cof%d%d: ", nSteps, i );
+ Kit_DsdPrint( stdout, ppNtks[i] );
+ }
+ // compute the largest non-decomp block
+ nPrimeSizeCur = Kit_DsdNonDsdSizeMax(ppNtks[i]);
+ nPrimeSizeMax = KIT_MAX( nPrimeSizeMax, nPrimeSizeCur );
+ Kit_DsdNtkFree( ppNtks[i] );
+ nSuppSizeMax += Kit_TruthSupportSize( ppCofs[nSteps][i], nVars );
+ }
+ printf( "Max = %2d. Supps = %2d.\n", nPrimeSizeMax, nSuppSizeMax );
+ }
+
+ if ( nCofLevel == 4 )
+ for ( v1 = 0; v1 < nVars; v1++ )
+ for ( v2 = v1+1; v2 < nVars; v2++ )
+ for ( v3 = v2+1; v3 < nVars; v3++ )
+ for ( v4 = v3+1; v4 < nVars; v4++ )
+ {
+ nSteps = 0;
+ piCofVar[nSteps++] = v1;
+ piCofVar[nSteps++] = v2;
+ piCofVar[nSteps++] = v3;
+ piCofVar[nSteps++] = v4;
+
+ printf( " Variables { " );
+ for ( i = 0; i < nSteps; i++ )
+ printf( "%c ", 'a' + piCofVar[i] );
+ printf( "}\n" );
+
+ // single cofactors
+ for ( s = 1; s <= nSteps; s++ )
+ {
+ for ( k = 0; k < s; k++ )
+ {
+ nSize = (1 << k);
+ for ( i = 0; i < nSize; i++ )
+ {
+ Kit_TruthCofactor0New( ppCofs[k+1][2*i+0], ppCofs[k][i], nVars, piCofVar[k] );
+ Kit_TruthCofactor1New( ppCofs[k+1][2*i+1], ppCofs[k][i], nVars, piCofVar[k] );
+ }
+ }
+ }
+ // compute DSD networks
+ nSize = (1 << nSteps);
+ nPrimeSizeMax = 0;
+ nSuppSizeMax = 0;
+ for ( i = 0; i < nSize; i++ )
+ {
+ ppNtks[i] = Kit_DsdDecompose( ppCofs[nSteps][i], nVars );
+ ppNtks[i] = Kit_DsdExpand( pTemp = ppNtks[i] );
+ Kit_DsdNtkFree( pTemp );
+ if ( fVerbose )
+ {
+ printf( "Cof%d%d: ", nSteps, i );
+ Kit_DsdPrint( stdout, ppNtks[i] );
+ }
+ // compute the largest non-decomp block
+ nPrimeSizeCur = Kit_DsdNonDsdSizeMax(ppNtks[i]);
+ nPrimeSizeMax = KIT_MAX( nPrimeSizeMax, nPrimeSizeCur );
+ Kit_DsdNtkFree( ppNtks[i] );
+ nSuppSizeMax += Kit_TruthSupportSize( ppCofs[nSteps][i], nVars );
+ }
+ printf( "Max = %2d. Supps = %2d.\n", nPrimeSizeMax, nSuppSizeMax );
+ }
+
+
+ free( ppCofs[0][0] );
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/kit/kitFactor.c b/src/aig/kit/kitFactor.c
new file mode 100644
index 00000000..e3288342
--- /dev/null
+++ b/src/aig/kit/kitFactor.c
@@ -0,0 +1,339 @@
+/**CFile****************************************************************
+
+ FileName [kitFactor.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [Computation kit.]
+
+ Synopsis [Algebraic factoring.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - Dec 6, 2006.]
+
+ Revision [$Id: kitFactor.c,v 1.00 2006/12/06 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "kit.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+// factoring fails if intermediate memory usage exceed this limit
+#define KIT_FACTOR_MEM_LIMIT (1<<16)
+
+static Kit_Edge_t Kit_SopFactor_rec( Kit_Graph_t * pFForm, Kit_Sop_t * cSop, int nLits, Vec_Int_t * vMemory );
+static Kit_Edge_t Kit_SopFactorLF_rec( Kit_Graph_t * pFForm, Kit_Sop_t * cSop, Kit_Sop_t * cSimple, int nLits, Vec_Int_t * vMemory );
+static Kit_Edge_t Kit_SopFactorTrivial( Kit_Graph_t * pFForm, Kit_Sop_t * cSop, int nLits );
+static Kit_Edge_t Kit_SopFactorTrivialCube( Kit_Graph_t * pFForm, unsigned uCube, int nLits );
+
+extern int Kit_SopFactorVerify( Vec_Int_t * cSop, Kit_Graph_t * pFForm, int nVars );
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Factors the cover.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Kit_Graph_t * Kit_SopFactor( Vec_Int_t * vCover, int fCompl, int nVars, Vec_Int_t * vMemory )
+{
+ Kit_Sop_t Sop, * cSop = &Sop;
+ Kit_Graph_t * pFForm;
+ Kit_Edge_t eRoot;
+// int nCubes;
+
+ // works for up to 15 variables because divisin procedure
+ // used the last bit for marking the cubes going to the remainder
+ assert( nVars < 16 );
+
+ // check for trivial functions
+ if ( Vec_IntSize(vCover) == 0 )
+ return Kit_GraphCreateConst0();
+ if ( Vec_IntSize(vCover) == 1 && Vec_IntEntry(vCover, 0) == 0 )
+ return Kit_GraphCreateConst1();
+
+ // prepare memory manager
+// Vec_IntClear( vMemory );
+ Vec_IntGrow( vMemory, KIT_FACTOR_MEM_LIMIT );
+
+ // perform CST
+ Kit_SopCreateInverse( cSop, vCover, 2 * nVars, vMemory ); // CST
+
+ // start the factored form
+ pFForm = Kit_GraphCreate( nVars );
+ // factor the cover
+ eRoot = Kit_SopFactor_rec( pFForm, cSop, 2 * nVars, vMemory );
+ // finalize the factored form
+ Kit_GraphSetRoot( pFForm, eRoot );
+ if ( fCompl )
+ Kit_GraphComplement( pFForm );
+
+ // verify the factored form
+// nCubes = Vec_IntSize(vCover);
+// Vec_IntShrink( vCover, nCubes );
+// if ( !Kit_SopFactorVerify( vCover, pFForm, nVars ) )
+// printf( "Verification has failed.\n" );
+ return pFForm;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Recursive factoring procedure.]
+
+ Description [For the pseudo-code, see Hachtel/Somenzi,
+ Logic synthesis and verification algorithms, Kluwer, 1996, p. 432.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Kit_Edge_t Kit_SopFactor_rec( Kit_Graph_t * pFForm, Kit_Sop_t * cSop, int nLits, Vec_Int_t * vMemory )
+{
+ Kit_Sop_t Div, Quo, Rem, Com;
+ Kit_Sop_t * cDiv = &Div, * cQuo = &Quo, * cRem = &Rem, * cCom = &Com;
+ Kit_Edge_t eNodeDiv, eNodeQuo, eNodeRem, eNodeAnd;
+
+ // make sure the cover contains some cubes
+ assert( Kit_SopCubeNum(cSop) > 0 );
+
+ // get the divisor
+ if ( !Kit_SopDivisor(cDiv, cSop, nLits, vMemory) )
+ return Kit_SopFactorTrivial( pFForm, cSop, nLits );
+
+ // divide the cover by the divisor
+ Kit_SopDivideInternal( cSop, cDiv, cQuo, cRem, vMemory );
+
+ // check the trivial case
+ assert( Kit_SopCubeNum(cQuo) > 0 );
+ if ( Kit_SopCubeNum(cQuo) == 1 )
+ return Kit_SopFactorLF_rec( pFForm, cSop, cQuo, nLits, vMemory );
+
+ // make the quotient cube free
+ Kit_SopMakeCubeFree( cQuo );
+
+ // divide the cover by the quotient
+ Kit_SopDivideInternal( cSop, cQuo, cDiv, cRem, vMemory );
+
+ // check the trivial case
+ if ( Kit_SopIsCubeFree( cDiv ) )
+ {
+ eNodeDiv = Kit_SopFactor_rec( pFForm, cDiv, nLits, vMemory );
+ eNodeQuo = Kit_SopFactor_rec( pFForm, cQuo, nLits, vMemory );
+ eNodeAnd = Kit_GraphAddNodeAnd( pFForm, eNodeDiv, eNodeQuo );
+ if ( Kit_SopCubeNum(cRem) == 0 )
+ return eNodeAnd;
+ eNodeRem = Kit_SopFactor_rec( pFForm, cRem, nLits, vMemory );
+ return Kit_GraphAddNodeOr( pFForm, eNodeAnd, eNodeRem );
+ }
+
+ // get the common cube
+ Kit_SopCommonCubeCover( cCom, cDiv, vMemory );
+
+ // solve the simple problem
+ return Kit_SopFactorLF_rec( pFForm, cSop, cCom, nLits, vMemory );
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Internal recursive factoring procedure for the leaf case.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Kit_Edge_t Kit_SopFactorLF_rec( Kit_Graph_t * pFForm, Kit_Sop_t * cSop, Kit_Sop_t * cSimple, int nLits, Vec_Int_t * vMemory )
+{
+ Kit_Sop_t Div, Quo, Rem;
+ Kit_Sop_t * cDiv = &Div, * cQuo = &Quo, * cRem = &Rem;
+ Kit_Edge_t eNodeDiv, eNodeQuo, eNodeRem, eNodeAnd;
+ assert( Kit_SopCubeNum(cSimple) == 1 );
+ // get the most often occurring literal
+ Kit_SopBestLiteralCover( cDiv, cSop, Kit_SopCube(cSimple, 0), nLits, vMemory );
+ // divide the cover by the literal
+ Kit_SopDivideByCube( cSop, cDiv, cQuo, cRem, vMemory );
+ // get the node pointer for the literal
+ eNodeDiv = Kit_SopFactorTrivialCube( pFForm, Kit_SopCube(cDiv, 0), nLits );
+ // factor the quotient and remainder
+ eNodeQuo = Kit_SopFactor_rec( pFForm, cQuo, nLits, vMemory );
+ eNodeAnd = Kit_GraphAddNodeAnd( pFForm, eNodeDiv, eNodeQuo );
+ if ( Kit_SopCubeNum(cRem) == 0 )
+ return eNodeAnd;
+ eNodeRem = Kit_SopFactor_rec( pFForm, cRem, nLits, vMemory );
+ return Kit_GraphAddNodeOr( pFForm, eNodeAnd, eNodeRem );
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Factoring cube.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Kit_Edge_t Kit_SopFactorTrivialCube_rec( Kit_Graph_t * pFForm, unsigned uCube, int nStart, int nFinish )
+{
+ Kit_Edge_t eNode1, eNode2;
+ int i, iLit = -1, nLits, nLits1, nLits2;
+ assert( uCube );
+ // count the number of literals in this interval
+ nLits = 0;
+ for ( i = nStart; i < nFinish; i++ )
+ if ( Kit_CubeHasLit(uCube, i) )
+ {
+ iLit = i;
+ nLits++;
+ }
+ assert( iLit != -1 );
+ // quit if there is only one literal
+ if ( nLits == 1 )
+ return Kit_EdgeCreate( iLit/2, iLit%2 ); // CST
+ // split the literals into two parts
+ nLits1 = nLits/2;
+ nLits2 = nLits - nLits1;
+// nLits2 = nLits/2;
+// nLits1 = nLits - nLits2;
+ // find the splitting point
+ nLits = 0;
+ for ( i = nStart; i < nFinish; i++ )
+ if ( Kit_CubeHasLit(uCube, i) )
+ {
+ if ( nLits == nLits1 )
+ break;
+ nLits++;
+ }
+ // recursively construct the tree for the parts
+ eNode1 = Kit_SopFactorTrivialCube_rec( pFForm, uCube, nStart, i );
+ eNode2 = Kit_SopFactorTrivialCube_rec( pFForm, uCube, i, nFinish );
+ return Kit_GraphAddNodeAnd( pFForm, eNode1, eNode2 );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Factoring cube.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Kit_Edge_t Kit_SopFactorTrivialCube( Kit_Graph_t * pFForm, unsigned uCube, int nLits )
+{
+ return Kit_SopFactorTrivialCube_rec( pFForm, uCube, 0, nLits );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Factoring SOP.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Kit_Edge_t Kit_SopFactorTrivial_rec( Kit_Graph_t * pFForm, unsigned * pCubes, int nCubes, int nLits )
+{
+ Kit_Edge_t eNode1, eNode2;
+ int nCubes1, nCubes2;
+ if ( nCubes == 1 )
+ return Kit_SopFactorTrivialCube_rec( pFForm, pCubes[0], 0, nLits );
+ // split the cubes into two parts
+ nCubes1 = nCubes/2;
+ nCubes2 = nCubes - nCubes1;
+// nCubes2 = nCubes/2;
+// nCubes1 = nCubes - nCubes2;
+ // recursively construct the tree for the parts
+ eNode1 = Kit_SopFactorTrivial_rec( pFForm, pCubes, nCubes1, nLits );
+ eNode2 = Kit_SopFactorTrivial_rec( pFForm, pCubes + nCubes1, nCubes2, nLits );
+ return Kit_GraphAddNodeOr( pFForm, eNode1, eNode2 );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Factoring the cover, which has no algebraic divisors.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Kit_Edge_t Kit_SopFactorTrivial( Kit_Graph_t * pFForm, Kit_Sop_t * cSop, int nLits )
+{
+ return Kit_SopFactorTrivial_rec( pFForm, cSop->pCubes, cSop->nCubes, nLits );
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Testing procedure for the factoring code.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_FactorTest( unsigned * pTruth, int nVars )
+{
+ Vec_Int_t * vCover, * vMemory;
+ Kit_Graph_t * pGraph;
+// unsigned uTruthRes;
+ int RetValue;
+
+ // derive SOP
+ vCover = Vec_IntAlloc( 0 );
+ RetValue = Kit_TruthIsop( pTruth, nVars, vCover, 0 );
+ assert( RetValue == 0 );
+
+ // derive factored form
+ vMemory = Vec_IntAlloc( 0 );
+ pGraph = Kit_SopFactor( vCover, 0, nVars, vMemory );
+/*
+ // derive truth table
+ assert( nVars <= 5 );
+ uTruthRes = Kit_GraphToTruth( pGraph );
+ if ( uTruthRes != pTruth[0] )
+ printf( "Verification failed!" );
+*/
+ printf( "Vars = %2d. Cubes = %3d. FFNodes = %3d. FF_memory = %3d.\n",
+ nVars, Vec_IntSize(vCover), Kit_GraphNodeNum(pGraph), Vec_IntSize(vMemory) );
+
+ Vec_IntFree( vMemory );
+ Vec_IntFree( vCover );
+ Kit_GraphFree( pGraph );
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/kit/kitGraph.c b/src/aig/kit/kitGraph.c
new file mode 100644
index 00000000..80dcbdc0
--- /dev/null
+++ b/src/aig/kit/kitGraph.c
@@ -0,0 +1,397 @@
+/**CFile****************************************************************
+
+ FileName [kitGraph.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [Computation kit.]
+
+ Synopsis [Decomposition graph representation.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - Dec 6, 2006.]
+
+ Revision [$Id: kitGraph.c,v 1.00 2006/12/06 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "kit.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Creates a graph with the given number of leaves.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Kit_Graph_t * Kit_GraphCreate( int nLeaves )
+{
+ Kit_Graph_t * pGraph;
+ pGraph = ALLOC( Kit_Graph_t, 1 );
+ memset( pGraph, 0, sizeof(Kit_Graph_t) );
+ pGraph->nLeaves = nLeaves;
+ pGraph->nSize = nLeaves;
+ pGraph->nCap = 2 * nLeaves + 50;
+ pGraph->pNodes = ALLOC( Kit_Node_t, pGraph->nCap );
+ memset( pGraph->pNodes, 0, sizeof(Kit_Node_t) * pGraph->nSize );
+ return pGraph;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates constant 0 graph.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Kit_Graph_t * Kit_GraphCreateConst0()
+{
+ Kit_Graph_t * pGraph;
+ pGraph = ALLOC( Kit_Graph_t, 1 );
+ memset( pGraph, 0, sizeof(Kit_Graph_t) );
+ pGraph->fConst = 1;
+ pGraph->eRoot.fCompl = 1;
+ return pGraph;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates constant 1 graph.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Kit_Graph_t * Kit_GraphCreateConst1()
+{
+ Kit_Graph_t * pGraph;
+ pGraph = ALLOC( Kit_Graph_t, 1 );
+ memset( pGraph, 0, sizeof(Kit_Graph_t) );
+ pGraph->fConst = 1;
+ return pGraph;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates the literal graph.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Kit_Graph_t * Kit_GraphCreateLeaf( int iLeaf, int nLeaves, int fCompl )
+{
+ Kit_Graph_t * pGraph;
+ assert( 0 <= iLeaf && iLeaf < nLeaves );
+ pGraph = Kit_GraphCreate( nLeaves );
+ pGraph->eRoot.Node = iLeaf;
+ pGraph->eRoot.fCompl = fCompl;
+ return pGraph;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates a graph with the given number of leaves.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_GraphFree( Kit_Graph_t * pGraph )
+{
+ FREE( pGraph->pNodes );
+ free( pGraph );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Appends a new node to the graph.]
+
+ Description [This procedure is meant for internal use.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Kit_Node_t * Kit_GraphAppendNode( Kit_Graph_t * pGraph )
+{
+ Kit_Node_t * pNode;
+ if ( pGraph->nSize == pGraph->nCap )
+ {
+ pGraph->pNodes = REALLOC( Kit_Node_t, pGraph->pNodes, 2 * pGraph->nCap );
+ pGraph->nCap = 2 * pGraph->nCap;
+ }
+ pNode = pGraph->pNodes + pGraph->nSize++;
+ memset( pNode, 0, sizeof(Kit_Node_t) );
+ return pNode;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates an AND node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Kit_Edge_t Kit_GraphAddNodeAnd( Kit_Graph_t * pGraph, Kit_Edge_t eEdge0, Kit_Edge_t eEdge1 )
+{
+ Kit_Node_t * pNode;
+ // get the new node
+ pNode = Kit_GraphAppendNode( pGraph );
+ // set the inputs and other info
+ pNode->eEdge0 = eEdge0;
+ pNode->eEdge1 = eEdge1;
+ pNode->fCompl0 = eEdge0.fCompl;
+ pNode->fCompl1 = eEdge1.fCompl;
+ return Kit_EdgeCreate( pGraph->nSize - 1, 0 );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates an OR node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Kit_Edge_t Kit_GraphAddNodeOr( Kit_Graph_t * pGraph, Kit_Edge_t eEdge0, Kit_Edge_t eEdge1 )
+{
+ Kit_Node_t * pNode;
+ // get the new node
+ pNode = Kit_GraphAppendNode( pGraph );
+ // set the inputs and other info
+ pNode->eEdge0 = eEdge0;
+ pNode->eEdge1 = eEdge1;
+ pNode->fCompl0 = eEdge0.fCompl;
+ pNode->fCompl1 = eEdge1.fCompl;
+ // make adjustments for the OR gate
+ pNode->fNodeOr = 1;
+ pNode->eEdge0.fCompl = !pNode->eEdge0.fCompl;
+ pNode->eEdge1.fCompl = !pNode->eEdge1.fCompl;
+ return Kit_EdgeCreate( pGraph->nSize - 1, 1 );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates an XOR node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Kit_Edge_t Kit_GraphAddNodeXor( Kit_Graph_t * pGraph, Kit_Edge_t eEdge0, Kit_Edge_t eEdge1, int Type )
+{
+ Kit_Edge_t eNode0, eNode1, eNode;
+ if ( Type == 0 )
+ {
+ // derive the first AND
+ eEdge0.fCompl ^= 1;
+ eNode0 = Kit_GraphAddNodeAnd( pGraph, eEdge0, eEdge1 );
+ eEdge0.fCompl ^= 1;
+ // derive the second AND
+ eEdge1.fCompl ^= 1;
+ eNode1 = Kit_GraphAddNodeAnd( pGraph, eEdge0, eEdge1 );
+ // derive the final OR
+ eNode = Kit_GraphAddNodeOr( pGraph, eNode0, eNode1 );
+ }
+ else
+ {
+ // derive the first AND
+ eNode0 = Kit_GraphAddNodeAnd( pGraph, eEdge0, eEdge1 );
+ // derive the second AND
+ eEdge0.fCompl ^= 1;
+ eEdge1.fCompl ^= 1;
+ eNode1 = Kit_GraphAddNodeAnd( pGraph, eEdge0, eEdge1 );
+ // derive the final OR
+ eNode = Kit_GraphAddNodeOr( pGraph, eNode0, eNode1 );
+ eNode.fCompl ^= 1;
+ }
+ return eNode;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates an XOR node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Kit_Edge_t Kit_GraphAddNodeMux( Kit_Graph_t * pGraph, Kit_Edge_t eEdgeC, Kit_Edge_t eEdgeT, Kit_Edge_t eEdgeE, int Type )
+{
+ Kit_Edge_t eNode0, eNode1, eNode;
+ if ( Type == 0 )
+ {
+ // derive the first AND
+ eNode0 = Kit_GraphAddNodeAnd( pGraph, eEdgeC, eEdgeT );
+ // derive the second AND
+ eEdgeC.fCompl ^= 1;
+ eNode1 = Kit_GraphAddNodeAnd( pGraph, eEdgeC, eEdgeE );
+ // derive the final OR
+ eNode = Kit_GraphAddNodeOr( pGraph, eNode0, eNode1 );
+ }
+ else
+ {
+ // complement the arguments
+ eEdgeT.fCompl ^= 1;
+ eEdgeE.fCompl ^= 1;
+ // derive the first AND
+ eNode0 = Kit_GraphAddNodeAnd( pGraph, eEdgeC, eEdgeT );
+ // derive the second AND
+ eEdgeC.fCompl ^= 1;
+ eNode1 = Kit_GraphAddNodeAnd( pGraph, eEdgeC, eEdgeE );
+ // derive the final OR
+ eNode = Kit_GraphAddNodeOr( pGraph, eNode0, eNode1 );
+ eNode.fCompl ^= 1;
+ }
+ return eNode;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Derives the truth table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+unsigned Kit_GraphToTruth( Kit_Graph_t * pGraph )
+{
+ unsigned uTruths[5] = { 0xAAAAAAAA, 0xCCCCCCCC, 0xF0F0F0F0, 0xFF00FF00, 0xFFFF0000 };
+ unsigned uTruth = 0, uTruth0, uTruth1;
+ Kit_Node_t * pNode;
+ int i;
+
+ // sanity checks
+ assert( Kit_GraphLeaveNum(pGraph) >= 0 );
+ assert( Kit_GraphLeaveNum(pGraph) <= pGraph->nSize );
+ assert( Kit_GraphLeaveNum(pGraph) <= 5 );
+
+ // check for constant function
+ if ( Kit_GraphIsConst(pGraph) )
+ return Kit_GraphIsComplement(pGraph)? 0 : ~((unsigned)0);
+ // check for a literal
+ if ( Kit_GraphIsVar(pGraph) )
+ return Kit_GraphIsComplement(pGraph)? ~uTruths[Kit_GraphVarInt(pGraph)] : uTruths[Kit_GraphVarInt(pGraph)];
+
+ // assign the elementary variables
+ Kit_GraphForEachLeaf( pGraph, pNode, i )
+ pNode->pFunc = (void *)(long)uTruths[i];
+
+ // compute the function for each internal node
+ Kit_GraphForEachNode( pGraph, pNode, i )
+ {
+ uTruth0 = (unsigned)(long)Kit_GraphNode(pGraph, pNode->eEdge0.Node)->pFunc;
+ uTruth1 = (unsigned)(long)Kit_GraphNode(pGraph, pNode->eEdge1.Node)->pFunc;
+ uTruth0 = pNode->eEdge0.fCompl? ~uTruth0 : uTruth0;
+ uTruth1 = pNode->eEdge1.fCompl? ~uTruth1 : uTruth1;
+ uTruth = uTruth0 & uTruth1;
+ pNode->pFunc = (void *)(long)uTruth;
+ }
+
+ // complement the result if necessary
+ return Kit_GraphIsComplement(pGraph)? ~uTruth : uTruth;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Derives the factored form from the truth table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Kit_Graph_t * Kit_TruthToGraph( unsigned * pTruth, int nVars, Vec_Int_t * vMemory )
+{
+ Kit_Graph_t * pGraph;
+ int RetValue;
+ // derive SOP
+ RetValue = Kit_TruthIsop( pTruth, nVars, vMemory, 1 ); // tried 1 and found not useful in "renode"
+ if ( RetValue == -1 )
+ return NULL;
+ if ( Vec_IntSize(vMemory) > 128 )
+ return NULL;
+// printf( "Isop size = %d.\n", Vec_IntSize(vMemory) );
+ assert( RetValue == 0 || RetValue == 1 );
+ // derive factored form
+ pGraph = Kit_SopFactor( vMemory, RetValue, nVars, vMemory );
+ return pGraph;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Derives the maximum depth from the leaf to the root.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Kit_GraphLeafDepth_rec( Kit_Graph_t * pGraph, Kit_Node_t * pNode, Kit_Node_t * pLeaf )
+{
+ int Depth0, Depth1, Depth;
+ if ( pNode == pLeaf )
+ return 0;
+ if ( Kit_GraphNodeIsVar(pGraph, pNode) )
+ return -100;
+ Depth0 = Kit_GraphLeafDepth_rec( pGraph, Kit_GraphNodeFanin0(pGraph, pNode), pLeaf );
+ Depth1 = Kit_GraphLeafDepth_rec( pGraph, Kit_GraphNodeFanin1(pGraph, pNode), pLeaf );
+ Depth = KIT_MAX( Depth0, Depth1 );
+ Depth = (Depth == -100) ? -100 : Depth + 1;
+ return Depth;
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
diff --git a/src/aig/kit/kitHop.c b/src/aig/kit/kitHop.c
new file mode 100644
index 00000000..86ec5a88
--- /dev/null
+++ b/src/aig/kit/kitHop.c
@@ -0,0 +1,144 @@
+/**CFile****************************************************************
+
+ FileName [kitHop.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [Computation kit.]
+
+ Synopsis [Procedures involving AIGs.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - Dec 6, 2006.]
+
+ Revision [$Id: kitHop.c,v 1.00 2006/12/06 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "kit.h"
+#include "hop.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Transforms the decomposition graph into the AIG.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Hop_Obj_t * Kit_GraphToHopInternal( Hop_Man_t * pMan, Kit_Graph_t * pGraph )
+{
+ Kit_Node_t * pNode = NULL;
+ Hop_Obj_t * pAnd0, * pAnd1;
+ int i;
+ // check for constant function
+ if ( Kit_GraphIsConst(pGraph) )
+ return Hop_NotCond( Hop_ManConst1(pMan), Kit_GraphIsComplement(pGraph) );
+ // check for a literal
+ if ( Kit_GraphIsVar(pGraph) )
+ return Hop_NotCond( Kit_GraphVar(pGraph)->pFunc, Kit_GraphIsComplement(pGraph) );
+ // build the AIG nodes corresponding to the AND gates of the graph
+ Kit_GraphForEachNode( pGraph, pNode, i )
+ {
+ pAnd0 = Hop_NotCond( Kit_GraphNode(pGraph, pNode->eEdge0.Node)->pFunc, pNode->eEdge0.fCompl );
+ pAnd1 = Hop_NotCond( Kit_GraphNode(pGraph, pNode->eEdge1.Node)->pFunc, pNode->eEdge1.fCompl );
+ pNode->pFunc = Hop_And( pMan, pAnd0, pAnd1 );
+ }
+ // complement the result if necessary
+ return Hop_NotCond( pNode->pFunc, Kit_GraphIsComplement(pGraph) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Strashes one logic node using its SOP.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Hop_Obj_t * Kit_GraphToHop( Hop_Man_t * pMan, Kit_Graph_t * pGraph )
+{
+ Kit_Node_t * pNode = NULL;
+ int i;
+ // collect the fanins
+ Kit_GraphForEachLeaf( pGraph, pNode, i )
+ pNode->pFunc = Hop_IthVar( pMan, i );
+ // perform strashing
+ return Kit_GraphToHopInternal( pMan, pGraph );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Strashed onen logic nodes using its truth table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Hop_Obj_t * Kit_TruthToHop( Hop_Man_t * pMan, unsigned * pTruth, int nVars, Vec_Int_t * vMemory )
+{
+ Hop_Obj_t * pObj;
+ Kit_Graph_t * pGraph;
+ // transform truth table into the decomposition tree
+ if ( vMemory == NULL )
+ {
+ vMemory = Vec_IntAlloc( 0 );
+ pGraph = Kit_TruthToGraph( pTruth, nVars, vMemory );
+ Vec_IntFree( vMemory );
+ }
+ else
+ pGraph = Kit_TruthToGraph( pTruth, nVars, vMemory );
+ // derive the AIG for the decomposition tree
+ pObj = Kit_GraphToHop( pMan, pGraph );
+ Kit_GraphFree( pGraph );
+ return pObj;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Strashes one logic node using its SOP.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Hop_Obj_t * Kit_CoverToHop( Hop_Man_t * pMan, Vec_Int_t * vCover, int nVars, Vec_Int_t * vMemory )
+{
+ Kit_Graph_t * pGraph;
+ Hop_Obj_t * pFunc;
+ // perform factoring
+ pGraph = Kit_SopFactor( vCover, 0, nVars, vMemory );
+ // convert graph to the AIG
+ pFunc = Kit_GraphToHop( pMan, pGraph );
+ Kit_GraphFree( pGraph );
+ return pFunc;
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/kit/kitIsop.c b/src/aig/kit/kitIsop.c
new file mode 100644
index 00000000..42fae2ea
--- /dev/null
+++ b/src/aig/kit/kitIsop.c
@@ -0,0 +1,325 @@
+/**CFile****************************************************************
+
+ FileName [kitIsop.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [Computation kit.]
+
+ Synopsis [ISOP computation based on Morreale's algorithm.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - Dec 6, 2006.]
+
+ Revision [$Id: kitIsop.c,v 1.00 2006/12/06 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "kit.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+// ISOP computation fails if intermediate memory usage exceed this limit
+#define KIT_ISOP_MEM_LIMIT (1<<16)
+
+// static procedures to compute ISOP
+static unsigned * Kit_TruthIsop_rec( unsigned * puOn, unsigned * puOnDc, int nVars, Kit_Sop_t * pcRes, Vec_Int_t * vStore );
+static unsigned Kit_TruthIsop5_rec( unsigned uOn, unsigned uOnDc, int nVars, Kit_Sop_t * pcRes, Vec_Int_t * vStore );
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Computes ISOP from TT.]
+
+ Description [Returns the cover in vMemory. Uses the rest of array in vMemory
+ as an intermediate memory storage. Returns the cover with -1 cubes, if the
+ the computation exceeded the memory limit (KIT_ISOP_MEM_LIMIT words of
+ intermediate data).]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Kit_TruthIsop( unsigned * puTruth, int nVars, Vec_Int_t * vMemory, int fTryBoth )
+{
+ Kit_Sop_t cRes, * pcRes = &cRes;
+ Kit_Sop_t cRes2, * pcRes2 = &cRes2;
+ unsigned * pResult;
+ int RetValue = 0;
+ assert( nVars >= 0 && nVars < 16 );
+ // if nVars < 5, make sure it does not depend on those vars
+// for ( i = nVars; i < 5; i++ )
+// assert( !Kit_TruthVarInSupport(puTruth, 5, i) );
+ // prepare memory manager
+ Vec_IntClear( vMemory );
+ Vec_IntGrow( vMemory, KIT_ISOP_MEM_LIMIT );
+ // compute ISOP for the direct polarity
+ pResult = Kit_TruthIsop_rec( puTruth, puTruth, nVars, pcRes, vMemory );
+ if ( pcRes->nCubes == -1 )
+ {
+ vMemory->nSize = -1;
+ return -1;
+ }
+ assert( Kit_TruthIsEqual( puTruth, pResult, nVars ) );
+ if ( pcRes->nCubes == 0 || (pcRes->nCubes == 1 && pcRes->pCubes[0] == 0) )
+ {
+ vMemory->pArray[0] = 0;
+ Vec_IntShrink( vMemory, pcRes->nCubes );
+ return 0;
+ }
+ if ( fTryBoth )
+ {
+ // compute ISOP for the complemented polarity
+ Kit_TruthNot( puTruth, puTruth, nVars );
+ pResult = Kit_TruthIsop_rec( puTruth, puTruth, nVars, pcRes2, vMemory );
+ if ( pcRes2->nCubes >= 0 )
+ {
+ assert( Kit_TruthIsEqual( puTruth, pResult, nVars ) );
+ if ( pcRes->nCubes > pcRes2->nCubes )
+ {
+ RetValue = 1;
+ pcRes = pcRes2;
+ }
+ }
+ Kit_TruthNot( puTruth, puTruth, nVars );
+ }
+// printf( "%d ", vMemory->nSize );
+ // move the cover representation to the beginning of the memory buffer
+ memmove( vMemory->pArray, pcRes->pCubes, pcRes->nCubes * sizeof(unsigned) );
+ Vec_IntShrink( vMemory, pcRes->nCubes );
+ return RetValue;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes ISOP 6 variables or more.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+unsigned * Kit_TruthIsop_rec( unsigned * puOn, unsigned * puOnDc, int nVars, Kit_Sop_t * pcRes, Vec_Int_t * vStore )
+{
+ Kit_Sop_t cRes0, cRes1, cRes2;
+ Kit_Sop_t * pcRes0 = &cRes0, * pcRes1 = &cRes1, * pcRes2 = &cRes2;
+ unsigned * puRes0, * puRes1, * puRes2;
+ unsigned * puOn0, * puOn1, * puOnDc0, * puOnDc1, * pTemp, * pTemp0, * pTemp1;
+ int i, k, Var, nWords, nWordsAll;
+// assert( Kit_TruthIsImply( puOn, puOnDc, nVars ) );
+ // allocate room for the resulting truth table
+ nWordsAll = Kit_TruthWordNum( nVars );
+ pTemp = Vec_IntFetch( vStore, nWordsAll );
+ if ( pTemp == NULL )
+ {
+ pcRes->nCubes = -1;
+ return NULL;
+ }
+ // check for constants
+ if ( Kit_TruthIsConst0( puOn, nVars ) )
+ {
+ pcRes->nCubes = 0;
+ pcRes->pCubes = NULL;
+ Kit_TruthClear( pTemp, nVars );
+ return pTemp;
+ }
+ if ( Kit_TruthIsConst1( puOnDc, nVars ) )
+ {
+ pcRes->nCubes = 1;
+ pcRes->pCubes = Vec_IntFetch( vStore, 1 );
+ if ( pcRes->pCubes == NULL )
+ {
+ pcRes->nCubes = -1;
+ return NULL;
+ }
+ pcRes->pCubes[0] = 0;
+ Kit_TruthFill( pTemp, nVars );
+ return pTemp;
+ }
+ assert( nVars > 0 );
+ // find the topmost var
+ for ( Var = nVars-1; Var >= 0; Var-- )
+ if ( Kit_TruthVarInSupport( puOn, nVars, Var ) ||
+ Kit_TruthVarInSupport( puOnDc, nVars, Var ) )
+ break;
+ assert( Var >= 0 );
+ // consider a simple case when one-word computation can be used
+ if ( Var < 5 )
+ {
+ unsigned uRes = Kit_TruthIsop5_rec( puOn[0], puOnDc[0], Var+1, pcRes, vStore );
+ for ( i = 0; i < nWordsAll; i++ )
+ pTemp[i] = uRes;
+ return pTemp;
+ }
+ assert( Var >= 5 );
+ nWords = Kit_TruthWordNum( Var );
+ // cofactor
+ puOn0 = puOn; puOn1 = puOn + nWords;
+ puOnDc0 = puOnDc; puOnDc1 = puOnDc + nWords;
+ pTemp0 = pTemp; pTemp1 = pTemp + nWords;
+ // solve for cofactors
+ Kit_TruthSharp( pTemp0, puOn0, puOnDc1, Var );
+ puRes0 = Kit_TruthIsop_rec( pTemp0, puOnDc0, Var, pcRes0, vStore );
+ if ( pcRes0->nCubes == -1 )
+ {
+ pcRes->nCubes = -1;
+ return NULL;
+ }
+ Kit_TruthSharp( pTemp1, puOn1, puOnDc0, Var );
+ puRes1 = Kit_TruthIsop_rec( pTemp1, puOnDc1, Var, pcRes1, vStore );
+ if ( pcRes1->nCubes == -1 )
+ {
+ pcRes->nCubes = -1;
+ return NULL;
+ }
+ Kit_TruthSharp( pTemp0, puOn0, puRes0, Var );
+ Kit_TruthSharp( pTemp1, puOn1, puRes1, Var );
+ Kit_TruthOr( pTemp0, pTemp0, pTemp1, Var );
+ Kit_TruthAnd( pTemp1, puOnDc0, puOnDc1, Var );
+ puRes2 = Kit_TruthIsop_rec( pTemp0, pTemp1, Var, pcRes2, vStore );
+ if ( pcRes2->nCubes == -1 )
+ {
+ pcRes->nCubes = -1;
+ return NULL;
+ }
+ // create the resulting cover
+ pcRes->nCubes = pcRes0->nCubes + pcRes1->nCubes + pcRes2->nCubes;
+ pcRes->pCubes = Vec_IntFetch( vStore, pcRes->nCubes );
+ if ( pcRes->pCubes == NULL )
+ {
+ pcRes->nCubes = -1;
+ return NULL;
+ }
+ k = 0;
+ for ( i = 0; i < pcRes0->nCubes; i++ )
+ pcRes->pCubes[k++] = pcRes0->pCubes[i] | (1 << ((Var<<1)+0));
+ for ( i = 0; i < pcRes1->nCubes; i++ )
+ pcRes->pCubes[k++] = pcRes1->pCubes[i] | (1 << ((Var<<1)+1));
+ for ( i = 0; i < pcRes2->nCubes; i++ )
+ pcRes->pCubes[k++] = pcRes2->pCubes[i];
+ assert( k == pcRes->nCubes );
+ // create the resulting truth table
+ Kit_TruthOr( pTemp0, puRes0, puRes2, Var );
+ Kit_TruthOr( pTemp1, puRes1, puRes2, Var );
+ // copy the table if needed
+ nWords <<= 1;
+ for ( i = 1; i < nWordsAll/nWords; i++ )
+ for ( k = 0; k < nWords; k++ )
+ pTemp[i*nWords + k] = pTemp[k];
+ // verify in the end
+// assert( Kit_TruthIsImply( puOn, pTemp, nVars ) );
+// assert( Kit_TruthIsImply( pTemp, puOnDc, nVars ) );
+ return pTemp;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes ISOP for 5 variables or less.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+unsigned Kit_TruthIsop5_rec( unsigned uOn, unsigned uOnDc, int nVars, Kit_Sop_t * pcRes, Vec_Int_t * vStore )
+{
+ unsigned uMasks[5] = { 0xAAAAAAAA, 0xCCCCCCCC, 0xF0F0F0F0, 0xFF00FF00, 0xFFFF0000 };
+ Kit_Sop_t cRes0, cRes1, cRes2;
+ Kit_Sop_t * pcRes0 = &cRes0, * pcRes1 = &cRes1, * pcRes2 = &cRes2;
+ unsigned uOn0, uOn1, uOnDc0, uOnDc1, uRes0, uRes1, uRes2;
+ int i, k, Var;
+ assert( nVars <= 5 );
+ assert( (uOn & ~uOnDc) == 0 );
+ if ( uOn == 0 )
+ {
+ pcRes->nCubes = 0;
+ pcRes->pCubes = NULL;
+ return 0;
+ }
+ if ( uOnDc == 0xFFFFFFFF )
+ {
+ pcRes->nCubes = 1;
+ pcRes->pCubes = Vec_IntFetch( vStore, 1 );
+ if ( pcRes->pCubes == NULL )
+ {
+ pcRes->nCubes = -1;
+ return 0;
+ }
+ pcRes->pCubes[0] = 0;
+ return 0xFFFFFFFF;
+ }
+ assert( nVars > 0 );
+ // find the topmost var
+ for ( Var = nVars-1; Var >= 0; Var-- )
+ if ( Kit_TruthVarInSupport( &uOn, 5, Var ) ||
+ Kit_TruthVarInSupport( &uOnDc, 5, Var ) )
+ break;
+ assert( Var >= 0 );
+ // cofactor
+ uOn0 = uOn1 = uOn;
+ uOnDc0 = uOnDc1 = uOnDc;
+ Kit_TruthCofactor0( &uOn0, Var + 1, Var );
+ Kit_TruthCofactor1( &uOn1, Var + 1, Var );
+ Kit_TruthCofactor0( &uOnDc0, Var + 1, Var );
+ Kit_TruthCofactor1( &uOnDc1, Var + 1, Var );
+ // solve for cofactors
+ uRes0 = Kit_TruthIsop5_rec( uOn0 & ~uOnDc1, uOnDc0, Var, pcRes0, vStore );
+ if ( pcRes0->nCubes == -1 )
+ {
+ pcRes->nCubes = -1;
+ return 0;
+ }
+ uRes1 = Kit_TruthIsop5_rec( uOn1 & ~uOnDc0, uOnDc1, Var, pcRes1, vStore );
+ if ( pcRes1->nCubes == -1 )
+ {
+ pcRes->nCubes = -1;
+ return 0;
+ }
+ uRes2 = Kit_TruthIsop5_rec( (uOn0 & ~uRes0) | (uOn1 & ~uRes1), uOnDc0 & uOnDc1, Var, pcRes2, vStore );
+ if ( pcRes2->nCubes == -1 )
+ {
+ pcRes->nCubes = -1;
+ return 0;
+ }
+ // create the resulting cover
+ pcRes->nCubes = pcRes0->nCubes + pcRes1->nCubes + pcRes2->nCubes;
+ pcRes->pCubes = Vec_IntFetch( vStore, pcRes->nCubes );
+ if ( pcRes->pCubes == NULL )
+ {
+ pcRes->nCubes = -1;
+ return 0;
+ }
+ k = 0;
+ for ( i = 0; i < pcRes0->nCubes; i++ )
+ pcRes->pCubes[k++] = pcRes0->pCubes[i] | (1 << ((Var<<1)+0));
+ for ( i = 0; i < pcRes1->nCubes; i++ )
+ pcRes->pCubes[k++] = pcRes1->pCubes[i] | (1 << ((Var<<1)+1));
+ for ( i = 0; i < pcRes2->nCubes; i++ )
+ pcRes->pCubes[k++] = pcRes2->pCubes[i];
+ assert( k == pcRes->nCubes );
+ // derive the final truth table
+ uRes2 |= (uRes0 & ~uMasks[Var]) | (uRes1 & uMasks[Var]);
+// assert( (uOn & ~uRes2) == 0 );
+// assert( (uRes2 & ~uOnDc) == 0 );
+ return uRes2;
+}
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/kit/kitSop.c b/src/aig/kit/kitSop.c
new file mode 100644
index 00000000..20ad0651
--- /dev/null
+++ b/src/aig/kit/kitSop.c
@@ -0,0 +1,572 @@
+/**CFile****************************************************************
+
+ FileName [kitSop.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [Computation kit.]
+
+ Synopsis [Procedures involving SOPs.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - Dec 6, 2006.]
+
+ Revision [$Id: kitSop.c,v 1.00 2006/12/06 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "kit.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Creates SOP from the cube array.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_SopCreate( Kit_Sop_t * cResult, Vec_Int_t * vInput, int nVars, Vec_Int_t * vMemory )
+{
+ unsigned uCube;
+ int i;
+ // start the cover
+ cResult->nCubes = 0;
+ cResult->pCubes = Vec_IntFetch( vMemory, Vec_IntSize(vInput) );
+ // add the cubes
+ Vec_IntForEachEntry( vInput, uCube, i )
+ Kit_SopPushCube( cResult, uCube );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates SOP from the cube array.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_SopCreateInverse( Kit_Sop_t * cResult, Vec_Int_t * vInput, int nLits, Vec_Int_t * vMemory )
+{
+ unsigned uCube, uMask = 0;
+ int i, nCubes = Vec_IntSize(vInput);
+ // start the cover
+ cResult->nCubes = 0;
+ cResult->pCubes = Vec_IntFetch( vMemory, nCubes );
+ // add the cubes
+// Vec_IntForEachEntry( vInput, uCube, i )
+ for ( i = 0; i < nCubes; i++ )
+ {
+ uCube = Vec_IntEntry( vInput, i );
+ uMask = ((uCube | (uCube >> 1)) & 0x55555555);
+ uMask |= (uMask << 1);
+ Kit_SopPushCube( cResult, uCube ^ uMask );
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Duplicates SOP.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_SopDup( Kit_Sop_t * cResult, Kit_Sop_t * cSop, Vec_Int_t * vMemory )
+{
+ unsigned uCube;
+ int i;
+ // start the cover
+ cResult->nCubes = 0;
+ cResult->pCubes = Vec_IntFetch( vMemory, Kit_SopCubeNum(cSop) );
+ // add the cubes
+ Kit_SopForEachCube( cSop, uCube, i )
+ Kit_SopPushCube( cResult, uCube );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Derives the quotient of division by literal.]
+
+ Description [Reduces the cover to be equal to the result of
+ division of the given cover by the literal.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_SopDivideByLiteralQuo( Kit_Sop_t * cSop, int iLit )
+{
+ unsigned uCube;
+ int i, k = 0;
+ Kit_SopForEachCube( cSop, uCube, i )
+ {
+ if ( Kit_CubeHasLit(uCube, iLit) )
+ Kit_SopWriteCube( cSop, Kit_CubeRemLit(uCube, iLit), k++ );
+ }
+ Kit_SopShrink( cSop, k );
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Divides cover by one cube.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_SopDivideByCube( Kit_Sop_t * cSop, Kit_Sop_t * cDiv, Kit_Sop_t * vQuo, Kit_Sop_t * vRem, Vec_Int_t * vMemory )
+{
+ unsigned uCube, uDiv;
+ int i;
+ // get the only cube
+ assert( Kit_SopCubeNum(cDiv) == 1 );
+ uDiv = Kit_SopCube(cDiv, 0);
+ // allocate covers
+ vQuo->nCubes = 0;
+ vQuo->pCubes = Vec_IntFetch( vMemory, Kit_SopCubeNum(cSop) );
+ vRem->nCubes = 0;
+ vRem->pCubes = Vec_IntFetch( vMemory, Kit_SopCubeNum(cSop) );
+ // sort the cubes
+ Kit_SopForEachCube( cSop, uCube, i )
+ {
+ if ( Kit_CubeContains( uCube, uDiv ) )
+ Kit_SopPushCube( vQuo, Kit_CubeSharp(uCube, uDiv) );
+ else
+ Kit_SopPushCube( vRem, uCube );
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Divides cover by one cube.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_SopDivideInternal( Kit_Sop_t * cSop, Kit_Sop_t * cDiv, Kit_Sop_t * vQuo, Kit_Sop_t * vRem, Vec_Int_t * vMemory )
+{
+ unsigned uCube, uDiv, uCube2, uDiv2, uQuo;
+ int i, i2, k, k2, nCubesRem;
+ assert( Kit_SopCubeNum(cSop) >= Kit_SopCubeNum(cDiv) );
+ // consider special case
+ if ( Kit_SopCubeNum(cDiv) == 1 )
+ {
+ Kit_SopDivideByCube( cSop, cDiv, vQuo, vRem, vMemory );
+ return;
+ }
+ // allocate quotient
+ vQuo->nCubes = 0;
+ vQuo->pCubes = Vec_IntFetch( vMemory, Kit_SopCubeNum(cSop) / Kit_SopCubeNum(cDiv) );
+ // for each cube of the cover
+ // it either belongs to the quotient or to the remainder
+ Kit_SopForEachCube( cSop, uCube, i )
+ {
+ // skip taken cubes
+ if ( Kit_CubeIsMarked(uCube) )
+ continue;
+ // find a matching cube in the divisor
+ uDiv = ~0;
+ Kit_SopForEachCube( cDiv, uDiv, k )
+ if ( Kit_CubeContains( uCube, uDiv ) )
+ break;
+ // the cube is not found
+ if ( k == Kit_SopCubeNum(cDiv) )
+ continue;
+ // the quotient cube exists
+ uQuo = Kit_CubeSharp( uCube, uDiv );
+ // find corresponding cubes for other cubes of the divisor
+ uDiv2 = ~0;
+ Kit_SopForEachCube( cDiv, uDiv2, k2 )
+ {
+ if ( k2 == k )
+ continue;
+ // find a matching cube
+ Kit_SopForEachCube( cSop, uCube2, i2 )
+ {
+ // skip taken cubes
+ if ( Kit_CubeIsMarked(uCube2) )
+ continue;
+ // check if the cube can be used
+ if ( Kit_CubeContains( uCube2, uDiv2 ) && uQuo == Kit_CubeSharp( uCube2, uDiv2 ) )
+ break;
+ }
+ // the case when the cube is not found
+ if ( i2 == Kit_SopCubeNum(cSop) )
+ break;
+ }
+ // we did not find some cubes - continue looking at other cubes
+ if ( k2 != Kit_SopCubeNum(cDiv) )
+ continue;
+ // we found all cubes - add the quotient cube
+ Kit_SopPushCube( vQuo, uQuo );
+
+ // mark the first cube
+ Kit_SopWriteCube( cSop, Kit_CubeMark(uCube), i );
+ // mark other cubes that have this quotient
+ Kit_SopForEachCube( cDiv, uDiv2, k2 )
+ {
+ if ( k2 == k )
+ continue;
+ // find a matching cube
+ Kit_SopForEachCube( cSop, uCube2, i2 )
+ {
+ // skip taken cubes
+ if ( Kit_CubeIsMarked(uCube2) )
+ continue;
+ // check if the cube can be used
+ if ( Kit_CubeContains( uCube2, uDiv2 ) && uQuo == Kit_CubeSharp( uCube2, uDiv2 ) )
+ break;
+ }
+ assert( i2 < Kit_SopCubeNum(cSop) );
+ // the cube is found, mark it
+ // (later we will add all unmarked cubes to the remainder)
+ Kit_SopWriteCube( cSop, Kit_CubeMark(uCube2), i2 );
+ }
+ }
+ // determine the number of cubes in the remainder
+ nCubesRem = Kit_SopCubeNum(cSop) - Kit_SopCubeNum(vQuo) * Kit_SopCubeNum(cDiv);
+ // allocate remainder
+ vRem->nCubes = 0;
+ vRem->pCubes = Vec_IntFetch( vMemory, nCubesRem );
+ // finally add the remaining unmarked cubes to the remainder
+ // and clean the marked cubes in the cover
+ Kit_SopForEachCube( cSop, uCube, i )
+ {
+ if ( !Kit_CubeIsMarked(uCube) )
+ {
+ Kit_SopPushCube( vRem, uCube );
+ continue;
+ }
+ Kit_SopWriteCube( cSop, Kit_CubeUnmark(uCube), i );
+ }
+ assert( nCubesRem == Kit_SopCubeNum(vRem) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns the common cube.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline unsigned Kit_SopCommonCube( Kit_Sop_t * cSop )
+{
+ unsigned uMask, uCube;
+ int i;
+ uMask = ~(unsigned)0;
+ Kit_SopForEachCube( cSop, uCube, i )
+ uMask &= uCube;
+ return uMask;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Makes the cover cube-free.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_SopMakeCubeFree( Kit_Sop_t * cSop )
+{
+ unsigned uMask, uCube;
+ int i;
+ uMask = Kit_SopCommonCube( cSop );
+ if ( uMask == 0 )
+ return;
+ // remove the common cube
+ Kit_SopForEachCube( cSop, uCube, i )
+ Kit_SopWriteCube( cSop, Kit_CubeSharp(uCube, uMask), i );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Checks if the cover is cube-free.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Kit_SopIsCubeFree( Kit_Sop_t * cSop )
+{
+ return Kit_SopCommonCube( cSop ) == 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates SOP composes of the common cube of the given SOP.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_SopCommonCubeCover( Kit_Sop_t * cResult, Kit_Sop_t * cSop, Vec_Int_t * vMemory )
+{
+ assert( Kit_SopCubeNum(cSop) > 0 );
+ cResult->nCubes = 0;
+ cResult->pCubes = Vec_IntFetch( vMemory, 1 );
+ Kit_SopPushCube( cResult, Kit_SopCommonCube(cSop) );
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Find any literal that occurs more than once.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Kit_SopAnyLiteral( Kit_Sop_t * cSop, int nLits )
+{
+ unsigned uCube;
+ int i, k, nLitsCur;
+ // go through each literal
+ for ( i = 0; i < nLits; i++ )
+ {
+ // go through all the cubes
+ nLitsCur = 0;
+ Kit_SopForEachCube( cSop, uCube, k )
+ if ( Kit_CubeHasLit(uCube, i) )
+ nLitsCur++;
+ if ( nLitsCur > 1 )
+ return i;
+ }
+ return -1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Find the least often occurring literal.]
+
+ Description [Find the least often occurring literal among those
+ that occur more than once.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Kit_SopWorstLiteral( Kit_Sop_t * cSop, int nLits )
+{
+ unsigned uCube;
+ int i, k, iMin, nLitsMin, nLitsCur;
+ int fUseFirst = 1;
+
+ // go through each literal
+ iMin = -1;
+ nLitsMin = 1000000;
+ for ( i = 0; i < nLits; i++ )
+ {
+ // go through all the cubes
+ nLitsCur = 0;
+ Kit_SopForEachCube( cSop, uCube, k )
+ if ( Kit_CubeHasLit(uCube, i) )
+ nLitsCur++;
+ // skip the literal that does not occur or occurs once
+ if ( nLitsCur < 2 )
+ continue;
+ // check if this is the best literal
+ if ( fUseFirst )
+ {
+ if ( nLitsMin > nLitsCur )
+ {
+ nLitsMin = nLitsCur;
+ iMin = i;
+ }
+ }
+ else
+ {
+ if ( nLitsMin >= nLitsCur )
+ {
+ nLitsMin = nLitsCur;
+ iMin = i;
+ }
+ }
+ }
+ if ( nLitsMin < 1000000 )
+ return iMin;
+ return -1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Find the least often occurring literal.]
+
+ Description [Find the least often occurring literal among those
+ that occur more than once.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Kit_SopBestLiteral( Kit_Sop_t * cSop, int nLits, unsigned uMask )
+{
+ unsigned uCube;
+ int i, k, iMax, nLitsMax, nLitsCur;
+ int fUseFirst = 1;
+
+ // go through each literal
+ iMax = -1;
+ nLitsMax = -1;
+ for ( i = 0; i < nLits; i++ )
+ {
+ if ( !Kit_CubeHasLit(uMask, i) )
+ continue;
+ // go through all the cubes
+ nLitsCur = 0;
+ Kit_SopForEachCube( cSop, uCube, k )
+ if ( Kit_CubeHasLit(uCube, i) )
+ nLitsCur++;
+ // skip the literal that does not occur or occurs once
+ if ( nLitsCur < 2 )
+ continue;
+ // check if this is the best literal
+ if ( fUseFirst )
+ {
+ if ( nLitsMax < nLitsCur )
+ {
+ nLitsMax = nLitsCur;
+ iMax = i;
+ }
+ }
+ else
+ {
+ if ( nLitsMax <= nLitsCur )
+ {
+ nLitsMax = nLitsCur;
+ iMax = i;
+ }
+ }
+ }
+ if ( nLitsMax >= 0 )
+ return iMax;
+ return -1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes a level-zero kernel.]
+
+ Description [Modifies the cover to contain one level-zero kernel.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_SopDivisorZeroKernel_rec( Kit_Sop_t * cSop, int nLits )
+{
+ int iLit;
+ // find any literal that occurs at least two times
+ iLit = Kit_SopWorstLiteral( cSop, nLits );
+ if ( iLit == -1 )
+ return;
+ // derive the cube-free quotient
+ Kit_SopDivideByLiteralQuo( cSop, iLit ); // the same cover
+ Kit_SopMakeCubeFree( cSop ); // the same cover
+ // call recursively
+ Kit_SopDivisorZeroKernel_rec( cSop, nLits ); // the same cover
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes the quick divisor of the cover.]
+
+ Description [Returns 0, if there is no divisor other than trivial.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Kit_SopDivisor( Kit_Sop_t * cResult, Kit_Sop_t * cSop, int nLits, Vec_Int_t * vMemory )
+{
+ if ( Kit_SopCubeNum(cSop) <= 1 )
+ return 0;
+ if ( Kit_SopAnyLiteral( cSop, nLits ) == -1 )
+ return 0;
+ // duplicate the cover
+ Kit_SopDup( cResult, cSop, vMemory );
+ // perform the kerneling
+ Kit_SopDivisorZeroKernel_rec( cResult, nLits );
+ assert( Kit_SopCubeNum(cResult) > 0 );
+ return 1;
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Create the one-literal cover with the best literal from cSop.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_SopBestLiteralCover( Kit_Sop_t * cResult, Kit_Sop_t * cSop, unsigned uCube, int nLits, Vec_Int_t * vMemory )
+{
+ int iLitBest;
+ // get the best literal
+ iLitBest = Kit_SopBestLiteral( cSop, nLits, uCube );
+ // start the cover
+ cResult->nCubes = 0;
+ cResult->pCubes = Vec_IntFetch( vMemory, 1 );
+ // set the cube
+ Kit_SopPushCube( cResult, Kit_CubeSetLit(0, iLitBest) );
+}
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/kit/kitTruth.c b/src/aig/kit/kitTruth.c
new file mode 100644
index 00000000..dab60132
--- /dev/null
+++ b/src/aig/kit/kitTruth.c
@@ -0,0 +1,1721 @@
+/**CFile****************************************************************
+
+ FileName [kitTruth.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [Computation kit.]
+
+ Synopsis [Procedures involving truth tables.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - Dec 6, 2006.]
+
+ Revision [$Id: kitTruth.c,v 1.00 2006/12/06 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "kit.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Swaps two adjacent variables in the truth table.]
+
+ Description [Swaps var number Start and var number Start+1 (0-based numbers).
+ The input truth table is pIn. The output truth table is pOut.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_TruthSwapAdjacentVars( unsigned * pOut, unsigned * pIn, int nVars, int iVar )
+{
+ static unsigned PMasks[4][3] = {
+ { 0x99999999, 0x22222222, 0x44444444 },
+ { 0xC3C3C3C3, 0x0C0C0C0C, 0x30303030 },
+ { 0xF00FF00F, 0x00F000F0, 0x0F000F00 },
+ { 0xFF0000FF, 0x0000FF00, 0x00FF0000 }
+ };
+ int nWords = Kit_TruthWordNum( nVars );
+ int i, k, Step, Shift;
+
+ assert( iVar < nVars - 1 );
+ if ( iVar < 4 )
+ {
+ Shift = (1 << iVar);
+ for ( i = 0; i < nWords; i++ )
+ pOut[i] = (pIn[i] & PMasks[iVar][0]) | ((pIn[i] & PMasks[iVar][1]) << Shift) | ((pIn[i] & PMasks[iVar][2]) >> Shift);
+ }
+ else if ( iVar > 4 )
+ {
+ Step = (1 << (iVar - 5));
+ for ( k = 0; k < nWords; k += 4*Step )
+ {
+ for ( i = 0; i < Step; i++ )
+ pOut[i] = pIn[i];
+ for ( i = 0; i < Step; i++ )
+ pOut[Step+i] = pIn[2*Step+i];
+ for ( i = 0; i < Step; i++ )
+ pOut[2*Step+i] = pIn[Step+i];
+ for ( i = 0; i < Step; i++ )
+ pOut[3*Step+i] = pIn[3*Step+i];
+ pIn += 4*Step;
+ pOut += 4*Step;
+ }
+ }
+ else // if ( iVar == 4 )
+ {
+ for ( i = 0; i < nWords; i += 2 )
+ {
+ pOut[i] = (pIn[i] & 0x0000FFFF) | ((pIn[i+1] & 0x0000FFFF) << 16);
+ pOut[i+1] = (pIn[i+1] & 0xFFFF0000) | ((pIn[i] & 0xFFFF0000) >> 16);
+ }
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Swaps two adjacent variables in the truth table.]
+
+ Description [Swaps var number Start and var number Start+1 (0-based numbers).
+ The input truth table is pIn. The output truth table is pOut.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_TruthSwapAdjacentVars2( unsigned * pIn, unsigned * pOut, int nVars, int Start )
+{
+ int nWords = (nVars <= 5)? 1 : (1 << (nVars-5));
+ int i, k, Step;
+
+ assert( Start < nVars - 1 );
+ switch ( Start )
+ {
+ case 0:
+ for ( i = 0; i < nWords; i++ )
+ pOut[i] = (pIn[i] & 0x99999999) | ((pIn[i] & 0x22222222) << 1) | ((pIn[i] & 0x44444444) >> 1);
+ return;
+ case 1:
+ for ( i = 0; i < nWords; i++ )
+ pOut[i] = (pIn[i] & 0xC3C3C3C3) | ((pIn[i] & 0x0C0C0C0C) << 2) | ((pIn[i] & 0x30303030) >> 2);
+ return;
+ case 2:
+ for ( i = 0; i < nWords; i++ )
+ pOut[i] = (pIn[i] & 0xF00FF00F) | ((pIn[i] & 0x00F000F0) << 4) | ((pIn[i] & 0x0F000F00) >> 4);
+ return;
+ case 3:
+ for ( i = 0; i < nWords; i++ )
+ pOut[i] = (pIn[i] & 0xFF0000FF) | ((pIn[i] & 0x0000FF00) << 8) | ((pIn[i] & 0x00FF0000) >> 8);
+ return;
+ case 4:
+ for ( i = 0; i < nWords; i += 2 )
+ {
+ pOut[i] = (pIn[i] & 0x0000FFFF) | ((pIn[i+1] & 0x0000FFFF) << 16);
+ pOut[i+1] = (pIn[i+1] & 0xFFFF0000) | ((pIn[i] & 0xFFFF0000) >> 16);
+ }
+ return;
+ default:
+ Step = (1 << (Start - 5));
+ for ( k = 0; k < nWords; k += 4*Step )
+ {
+ for ( i = 0; i < Step; i++ )
+ pOut[i] = pIn[i];
+ for ( i = 0; i < Step; i++ )
+ pOut[Step+i] = pIn[2*Step+i];
+ for ( i = 0; i < Step; i++ )
+ pOut[2*Step+i] = pIn[Step+i];
+ for ( i = 0; i < Step; i++ )
+ pOut[3*Step+i] = pIn[3*Step+i];
+ pIn += 4*Step;
+ pOut += 4*Step;
+ }
+ return;
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Expands the truth table according to the phase.]
+
+ Description [The input and output truth tables are in pIn/pOut. The current number
+ of variables is nVars. The total number of variables in nVarsAll. The last argument
+ (Phase) contains shows where the variables should go.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_TruthStretch( unsigned * pOut, unsigned * pIn, int nVars, int nVarsAll, unsigned Phase, int fReturnIn )
+{
+ unsigned * pTemp;
+ int i, k, Var = nVars - 1, Counter = 0;
+ for ( i = nVarsAll - 1; i >= 0; i-- )
+ if ( Phase & (1 << i) )
+ {
+ for ( k = Var; k < i; k++ )
+ {
+ Kit_TruthSwapAdjacentVars( pOut, pIn, nVarsAll, k );
+ pTemp = pIn; pIn = pOut; pOut = pTemp;
+ Counter++;
+ }
+ Var--;
+ }
+ assert( Var == -1 );
+ // swap if it was moved an even number of times
+ if ( fReturnIn ^ !(Counter & 1) )
+ Kit_TruthCopy( pOut, pIn, nVarsAll );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Shrinks the truth table according to the phase.]
+
+ Description [The input and output truth tables are in pIn/pOut. The current number
+ of variables is nVars. The total number of variables in nVarsAll. The last argument
+ (Phase) contains shows what variables should remain.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_TruthShrink( unsigned * pOut, unsigned * pIn, int nVars, int nVarsAll, unsigned Phase, int fReturnIn )
+{
+ unsigned * pTemp;
+ int i, k, Var = 0, Counter = 0;
+ for ( i = 0; i < nVarsAll; i++ )
+ if ( Phase & (1 << i) )
+ {
+ for ( k = i-1; k >= Var; k-- )
+ {
+ Kit_TruthSwapAdjacentVars( pOut, pIn, nVarsAll, k );
+ pTemp = pIn; pIn = pOut; pOut = pTemp;
+ Counter++;
+ }
+ Var++;
+ }
+ assert( Var == nVars );
+ // swap if it was moved an even number of times
+ if ( fReturnIn ^ !(Counter & 1) )
+ Kit_TruthCopy( pOut, pIn, nVarsAll );
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Returns 1 if TT depends on the given variable.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Kit_TruthVarInSupport( unsigned * pTruth, int nVars, int iVar )
+{
+ int nWords = Kit_TruthWordNum( nVars );
+ int i, k, Step;
+
+ assert( iVar < nVars );
+ switch ( iVar )
+ {
+ case 0:
+ for ( i = 0; i < nWords; i++ )
+ if ( (pTruth[i] & 0x55555555) != ((pTruth[i] & 0xAAAAAAAA) >> 1) )
+ return 1;
+ return 0;
+ case 1:
+ for ( i = 0; i < nWords; i++ )
+ if ( (pTruth[i] & 0x33333333) != ((pTruth[i] & 0xCCCCCCCC) >> 2) )
+ return 1;
+ return 0;
+ case 2:
+ for ( i = 0; i < nWords; i++ )
+ if ( (pTruth[i] & 0x0F0F0F0F) != ((pTruth[i] & 0xF0F0F0F0) >> 4) )
+ return 1;
+ return 0;
+ case 3:
+ for ( i = 0; i < nWords; i++ )
+ if ( (pTruth[i] & 0x00FF00FF) != ((pTruth[i] & 0xFF00FF00) >> 8) )
+ return 1;
+ return 0;
+ case 4:
+ for ( i = 0; i < nWords; i++ )
+ if ( (pTruth[i] & 0x0000FFFF) != ((pTruth[i] & 0xFFFF0000) >> 16) )
+ return 1;
+ return 0;
+ default:
+ Step = (1 << (iVar - 5));
+ for ( k = 0; k < nWords; k += 2*Step )
+ {
+ for ( i = 0; i < Step; i++ )
+ if ( pTruth[i] != pTruth[Step+i] )
+ return 1;
+ pTruth += 2*Step;
+ }
+ return 0;
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns the number of support vars.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Kit_TruthSupportSize( unsigned * pTruth, int nVars )
+{
+ int i, Counter = 0;
+ for ( i = 0; i < nVars; i++ )
+ Counter += Kit_TruthVarInSupport( pTruth, nVars, i );
+ return Counter;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns support of the function.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+unsigned Kit_TruthSupport( unsigned * pTruth, int nVars )
+{
+ int i, Support = 0;
+ for ( i = 0; i < nVars; i++ )
+ if ( Kit_TruthVarInSupport( pTruth, nVars, i ) )
+ Support |= (1 << i);
+ return Support;
+}
+
+
+
+/**Function*************************************************************
+
+ Synopsis [Computes negative cofactor of the function.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_TruthCofactor0( unsigned * pTruth, int nVars, int iVar )
+{
+ int nWords = Kit_TruthWordNum( nVars );
+ int i, k, Step;
+
+ assert( iVar < nVars );
+ switch ( iVar )
+ {
+ case 0:
+ for ( i = 0; i < nWords; i++ )
+ pTruth[i] = (pTruth[i] & 0x55555555) | ((pTruth[i] & 0x55555555) << 1);
+ return;
+ case 1:
+ for ( i = 0; i < nWords; i++ )
+ pTruth[i] = (pTruth[i] & 0x33333333) | ((pTruth[i] & 0x33333333) << 2);
+ return;
+ case 2:
+ for ( i = 0; i < nWords; i++ )
+ pTruth[i] = (pTruth[i] & 0x0F0F0F0F) | ((pTruth[i] & 0x0F0F0F0F) << 4);
+ return;
+ case 3:
+ for ( i = 0; i < nWords; i++ )
+ pTruth[i] = (pTruth[i] & 0x00FF00FF) | ((pTruth[i] & 0x00FF00FF) << 8);
+ return;
+ case 4:
+ for ( i = 0; i < nWords; i++ )
+ pTruth[i] = (pTruth[i] & 0x0000FFFF) | ((pTruth[i] & 0x0000FFFF) << 16);
+ return;
+ default:
+ Step = (1 << (iVar - 5));
+ for ( k = 0; k < nWords; k += 2*Step )
+ {
+ for ( i = 0; i < Step; i++ )
+ pTruth[Step+i] = pTruth[i];
+ pTruth += 2*Step;
+ }
+ return;
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes positive cofactor of the function.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_TruthCofactor1( unsigned * pTruth, int nVars, int iVar )
+{
+ int nWords = Kit_TruthWordNum( nVars );
+ int i, k, Step;
+
+ assert( iVar < nVars );
+ switch ( iVar )
+ {
+ case 0:
+ for ( i = 0; i < nWords; i++ )
+ pTruth[i] = (pTruth[i] & 0xAAAAAAAA) | ((pTruth[i] & 0xAAAAAAAA) >> 1);
+ return;
+ case 1:
+ for ( i = 0; i < nWords; i++ )
+ pTruth[i] = (pTruth[i] & 0xCCCCCCCC) | ((pTruth[i] & 0xCCCCCCCC) >> 2);
+ return;
+ case 2:
+ for ( i = 0; i < nWords; i++ )
+ pTruth[i] = (pTruth[i] & 0xF0F0F0F0) | ((pTruth[i] & 0xF0F0F0F0) >> 4);
+ return;
+ case 3:
+ for ( i = 0; i < nWords; i++ )
+ pTruth[i] = (pTruth[i] & 0xFF00FF00) | ((pTruth[i] & 0xFF00FF00) >> 8);
+ return;
+ case 4:
+ for ( i = 0; i < nWords; i++ )
+ pTruth[i] = (pTruth[i] & 0xFFFF0000) | ((pTruth[i] & 0xFFFF0000) >> 16);
+ return;
+ default:
+ Step = (1 << (iVar - 5));
+ for ( k = 0; k < nWords; k += 2*Step )
+ {
+ for ( i = 0; i < Step; i++ )
+ pTruth[i] = pTruth[Step+i];
+ pTruth += 2*Step;
+ }
+ return;
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes positive cofactor of the function.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_TruthCofactor0New( unsigned * pOut, unsigned * pIn, int nVars, int iVar )
+{
+ int nWords = Kit_TruthWordNum( nVars );
+ int i, k, Step;
+
+ assert( iVar < nVars );
+ switch ( iVar )
+ {
+ case 0:
+ for ( i = 0; i < nWords; i++ )
+ pOut[i] = (pIn[i] & 0x55555555) | ((pIn[i] & 0x55555555) << 1);
+ return;
+ case 1:
+ for ( i = 0; i < nWords; i++ )
+ pOut[i] = (pIn[i] & 0x33333333) | ((pIn[i] & 0x33333333) << 2);
+ return;
+ case 2:
+ for ( i = 0; i < nWords; i++ )
+ pOut[i] = (pIn[i] & 0x0F0F0F0F) | ((pIn[i] & 0x0F0F0F0F) << 4);
+ return;
+ case 3:
+ for ( i = 0; i < nWords; i++ )
+ pOut[i] = (pIn[i] & 0x00FF00FF) | ((pIn[i] & 0x00FF00FF) << 8);
+ return;
+ case 4:
+ for ( i = 0; i < nWords; i++ )
+ pOut[i] = (pIn[i] & 0x0000FFFF) | ((pIn[i] & 0x0000FFFF) << 16);
+ return;
+ default:
+ Step = (1 << (iVar - 5));
+ for ( k = 0; k < nWords; k += 2*Step )
+ {
+ for ( i = 0; i < Step; i++ )
+ pOut[i] = pOut[Step+i] = pIn[i];
+ pIn += 2*Step;
+ pOut += 2*Step;
+ }
+ return;
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes positive cofactor of the function.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_TruthCofactor1New( unsigned * pOut, unsigned * pIn, int nVars, int iVar )
+{
+ int nWords = Kit_TruthWordNum( nVars );
+ int i, k, Step;
+
+ assert( iVar < nVars );
+ switch ( iVar )
+ {
+ case 0:
+ for ( i = 0; i < nWords; i++ )
+ pOut[i] = (pIn[i] & 0xAAAAAAAA) | ((pIn[i] & 0xAAAAAAAA) >> 1);
+ return;
+ case 1:
+ for ( i = 0; i < nWords; i++ )
+ pOut[i] = (pIn[i] & 0xCCCCCCCC) | ((pIn[i] & 0xCCCCCCCC) >> 2);
+ return;
+ case 2:
+ for ( i = 0; i < nWords; i++ )
+ pOut[i] = (pIn[i] & 0xF0F0F0F0) | ((pIn[i] & 0xF0F0F0F0) >> 4);
+ return;
+ case 3:
+ for ( i = 0; i < nWords; i++ )
+ pOut[i] = (pIn[i] & 0xFF00FF00) | ((pIn[i] & 0xFF00FF00) >> 8);
+ return;
+ case 4:
+ for ( i = 0; i < nWords; i++ )
+ pOut[i] = (pIn[i] & 0xFFFF0000) | ((pIn[i] & 0xFFFF0000) >> 16);
+ return;
+ default:
+ Step = (1 << (iVar - 5));
+ for ( k = 0; k < nWords; k += 2*Step )
+ {
+ for ( i = 0; i < Step; i++ )
+ pOut[i] = pOut[Step+i] = pIn[Step+i];
+ pIn += 2*Step;
+ pOut += 2*Step;
+ }
+ return;
+ }
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Existentially quantifies the variable.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_TruthExist( unsigned * pTruth, int nVars, int iVar )
+{
+ int nWords = Kit_TruthWordNum( nVars );
+ int i, k, Step;
+
+ assert( iVar < nVars );
+ switch ( iVar )
+ {
+ case 0:
+ for ( i = 0; i < nWords; i++ )
+ pTruth[i] |= ((pTruth[i] & 0xAAAAAAAA) >> 1) | ((pTruth[i] & 0x55555555) << 1);
+ return;
+ case 1:
+ for ( i = 0; i < nWords; i++ )
+ pTruth[i] |= ((pTruth[i] & 0xCCCCCCCC) >> 2) | ((pTruth[i] & 0x33333333) << 2);
+ return;
+ case 2:
+ for ( i = 0; i < nWords; i++ )
+ pTruth[i] |= ((pTruth[i] & 0xF0F0F0F0) >> 4) | ((pTruth[i] & 0x0F0F0F0F) << 4);
+ return;
+ case 3:
+ for ( i = 0; i < nWords; i++ )
+ pTruth[i] |= ((pTruth[i] & 0xFF00FF00) >> 8) | ((pTruth[i] & 0x00FF00FF) << 8);
+ return;
+ case 4:
+ for ( i = 0; i < nWords; i++ )
+ pTruth[i] |= ((pTruth[i] & 0xFFFF0000) >> 16) | ((pTruth[i] & 0x0000FFFF) << 16);
+ return;
+ default:
+ Step = (1 << (iVar - 5));
+ for ( k = 0; k < nWords; k += 2*Step )
+ {
+ for ( i = 0; i < Step; i++ )
+ {
+ pTruth[i] |= pTruth[Step+i];
+ pTruth[Step+i] = pTruth[i];
+ }
+ pTruth += 2*Step;
+ }
+ return;
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Existentially quantifies the variable.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_TruthExistNew( unsigned * pRes, unsigned * pTruth, int nVars, int iVar )
+{
+ int nWords = Kit_TruthWordNum( nVars );
+ int i, k, Step;
+
+ assert( iVar < nVars );
+ switch ( iVar )
+ {
+ case 0:
+ for ( i = 0; i < nWords; i++ )
+ pRes[i] = pTruth[i] | ((pTruth[i] & 0xAAAAAAAA) >> 1) | ((pTruth[i] & 0x55555555) << 1);
+ return;
+ case 1:
+ for ( i = 0; i < nWords; i++ )
+ pRes[i] = pTruth[i] | ((pTruth[i] & 0xCCCCCCCC) >> 2) | ((pTruth[i] & 0x33333333) << 2);
+ return;
+ case 2:
+ for ( i = 0; i < nWords; i++ )
+ pRes[i] = pTruth[i] | ((pTruth[i] & 0xF0F0F0F0) >> 4) | ((pTruth[i] & 0x0F0F0F0F) << 4);
+ return;
+ case 3:
+ for ( i = 0; i < nWords; i++ )
+ pRes[i] = pTruth[i] | ((pTruth[i] & 0xFF00FF00) >> 8) | ((pTruth[i] & 0x00FF00FF) << 8);
+ return;
+ case 4:
+ for ( i = 0; i < nWords; i++ )
+ pRes[i] = pTruth[i] | ((pTruth[i] & 0xFFFF0000) >> 16) | ((pTruth[i] & 0x0000FFFF) << 16);
+ return;
+ default:
+ Step = (1 << (iVar - 5));
+ for ( k = 0; k < nWords; k += 2*Step )
+ {
+ for ( i = 0; i < Step; i++ )
+ {
+ pRes[i] = pTruth[i] | pTruth[Step+i];
+ pRes[Step+i] = pRes[i];
+ }
+ pRes += 2*Step;
+ pTruth += 2*Step;
+ }
+ return;
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Existantially quantifies the set of variables.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_TruthExistSet( unsigned * pRes, unsigned * pTruth, int nVars, unsigned uMask )
+{
+ int v;
+ Kit_TruthCopy( pRes, pTruth, nVars );
+ for ( v = 0; v < nVars; v++ )
+ if ( uMask & (1 << v) )
+ Kit_TruthExist( pRes, nVars, v );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Unversally quantifies the variable.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_TruthForall( unsigned * pTruth, int nVars, int iVar )
+{
+ int nWords = Kit_TruthWordNum( nVars );
+ int i, k, Step;
+
+ assert( iVar < nVars );
+ switch ( iVar )
+ {
+ case 0:
+ for ( i = 0; i < nWords; i++ )
+ pTruth[i] &= ((pTruth[i] & 0xAAAAAAAA) >> 1) | ((pTruth[i] & 0x55555555) << 1);
+ return;
+ case 1:
+ for ( i = 0; i < nWords; i++ )
+ pTruth[i] &= ((pTruth[i] & 0xCCCCCCCC) >> 2) | ((pTruth[i] & 0x33333333) << 2);
+ return;
+ case 2:
+ for ( i = 0; i < nWords; i++ )
+ pTruth[i] &= ((pTruth[i] & 0xF0F0F0F0) >> 4) | ((pTruth[i] & 0x0F0F0F0F) << 4);
+ return;
+ case 3:
+ for ( i = 0; i < nWords; i++ )
+ pTruth[i] &= ((pTruth[i] & 0xFF00FF00) >> 8) | ((pTruth[i] & 0x00FF00FF) << 8);
+ return;
+ case 4:
+ for ( i = 0; i < nWords; i++ )
+ pTruth[i] &= ((pTruth[i] & 0xFFFF0000) >> 16) | ((pTruth[i] & 0x0000FFFF) << 16);
+ return;
+ default:
+ Step = (1 << (iVar - 5));
+ for ( k = 0; k < nWords; k += 2*Step )
+ {
+ for ( i = 0; i < Step; i++ )
+ {
+ pTruth[i] &= pTruth[Step+i];
+ pTruth[Step+i] = pTruth[i];
+ }
+ pTruth += 2*Step;
+ }
+ return;
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Universally quantifies the variable.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_TruthForallNew( unsigned * pRes, unsigned * pTruth, int nVars, int iVar )
+{
+ int nWords = Kit_TruthWordNum( nVars );
+ int i, k, Step;
+
+ assert( iVar < nVars );
+ switch ( iVar )
+ {
+ case 0:
+ for ( i = 0; i < nWords; i++ )
+ pRes[i] = pTruth[i] & (((pTruth[i] & 0xAAAAAAAA) >> 1) | ((pTruth[i] & 0x55555555) << 1));
+ return;
+ case 1:
+ for ( i = 0; i < nWords; i++ )
+ pRes[i] = pTruth[i] & (((pTruth[i] & 0xCCCCCCCC) >> 2) | ((pTruth[i] & 0x33333333) << 2));
+ return;
+ case 2:
+ for ( i = 0; i < nWords; i++ )
+ pRes[i] = pTruth[i] & (((pTruth[i] & 0xF0F0F0F0) >> 4) | ((pTruth[i] & 0x0F0F0F0F) << 4));
+ return;
+ case 3:
+ for ( i = 0; i < nWords; i++ )
+ pRes[i] = pTruth[i] & (((pTruth[i] & 0xFF00FF00) >> 8) | ((pTruth[i] & 0x00FF00FF) << 8));
+ return;
+ case 4:
+ for ( i = 0; i < nWords; i++ )
+ pRes[i] = pTruth[i] & (((pTruth[i] & 0xFFFF0000) >> 16) | ((pTruth[i] & 0x0000FFFF) << 16));
+ return;
+ default:
+ Step = (1 << (iVar - 5));
+ for ( k = 0; k < nWords; k += 2*Step )
+ {
+ for ( i = 0; i < Step; i++ )
+ {
+ pRes[i] = pTruth[i] & pTruth[Step+i];
+ pRes[Step+i] = pRes[i];
+ }
+ pRes += 2*Step;
+ pTruth += 2*Step;
+ }
+ return;
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Universally quantifies the variable.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_TruthUniqueNew( unsigned * pRes, unsigned * pTruth, int nVars, int iVar )
+{
+ int nWords = Kit_TruthWordNum( nVars );
+ int i, k, Step;
+
+ assert( iVar < nVars );
+ switch ( iVar )
+ {
+ case 0:
+ for ( i = 0; i < nWords; i++ )
+ pRes[i] = pTruth[i] ^ (((pTruth[i] & 0xAAAAAAAA) >> 1) | ((pTruth[i] & 0x55555555) << 1));
+ return;
+ case 1:
+ for ( i = 0; i < nWords; i++ )
+ pRes[i] = pTruth[i] ^ (((pTruth[i] & 0xCCCCCCCC) >> 2) | ((pTruth[i] & 0x33333333) << 2));
+ return;
+ case 2:
+ for ( i = 0; i < nWords; i++ )
+ pRes[i] = pTruth[i] ^ (((pTruth[i] & 0xF0F0F0F0) >> 4) | ((pTruth[i] & 0x0F0F0F0F) << 4));
+ return;
+ case 3:
+ for ( i = 0; i < nWords; i++ )
+ pRes[i] = pTruth[i] ^ (((pTruth[i] & 0xFF00FF00) >> 8) | ((pTruth[i] & 0x00FF00FF) << 8));
+ return;
+ case 4:
+ for ( i = 0; i < nWords; i++ )
+ pRes[i] = pTruth[i] ^ (((pTruth[i] & 0xFFFF0000) >> 16) | ((pTruth[i] & 0x0000FFFF) << 16));
+ return;
+ default:
+ Step = (1 << (iVar - 5));
+ for ( k = 0; k < nWords; k += 2*Step )
+ {
+ for ( i = 0; i < Step; i++ )
+ {
+ pRes[i] = pTruth[i] ^ pTruth[Step+i];
+ pRes[Step+i] = pRes[i];
+ }
+ pRes += 2*Step;
+ pTruth += 2*Step;
+ }
+ return;
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Universally quantifies the set of variables.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_TruthForallSet( unsigned * pRes, unsigned * pTruth, int nVars, unsigned uMask )
+{
+ int v;
+ Kit_TruthCopy( pRes, pTruth, nVars );
+ for ( v = 0; v < nVars; v++ )
+ if ( uMask & (1 << v) )
+ Kit_TruthForall( pRes, nVars, v );
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Multiplexes two functions with the given variable.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_TruthMuxVar( unsigned * pOut, unsigned * pCof0, unsigned * pCof1, int nVars, int iVar )
+{
+ int nWords = Kit_TruthWordNum( nVars );
+ int i, k, Step;
+
+ assert( iVar < nVars );
+ switch ( iVar )
+ {
+ case 0:
+ for ( i = 0; i < nWords; i++ )
+ pOut[i] = (pCof0[i] & 0x55555555) | (pCof1[i] & 0xAAAAAAAA);
+ return;
+ case 1:
+ for ( i = 0; i < nWords; i++ )
+ pOut[i] = (pCof0[i] & 0x33333333) | (pCof1[i] & 0xCCCCCCCC);
+ return;
+ case 2:
+ for ( i = 0; i < nWords; i++ )
+ pOut[i] = (pCof0[i] & 0x0F0F0F0F) | (pCof1[i] & 0xF0F0F0F0);
+ return;
+ case 3:
+ for ( i = 0; i < nWords; i++ )
+ pOut[i] = (pCof0[i] & 0x00FF00FF) | (pCof1[i] & 0xFF00FF00);
+ return;
+ case 4:
+ for ( i = 0; i < nWords; i++ )
+ pOut[i] = (pCof0[i] & 0x0000FFFF) | (pCof1[i] & 0xFFFF0000);
+ return;
+ default:
+ Step = (1 << (iVar - 5));
+ for ( k = 0; k < nWords; k += 2*Step )
+ {
+ for ( i = 0; i < Step; i++ )
+ {
+ pOut[i] = pCof0[i];
+ pOut[Step+i] = pCof1[Step+i];
+ }
+ pOut += 2*Step;
+ pCof0 += 2*Step;
+ pCof1 += 2*Step;
+ }
+ return;
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Multiplexes two functions with the given variable.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_TruthMuxVarPhase( unsigned * pOut, unsigned * pCof0, unsigned * pCof1, int nVars, int iVar, int fCompl0 )
+{
+ int nWords = Kit_TruthWordNum( nVars );
+ int i, k, Step;
+
+ if ( fCompl0 == 0 )
+ {
+ Kit_TruthMuxVar( pOut, pCof0, pCof1, nVars, iVar );
+ return;
+ }
+
+ assert( iVar < nVars );
+ switch ( iVar )
+ {
+ case 0:
+ for ( i = 0; i < nWords; i++ )
+ pOut[i] = (~pCof0[i] & 0x55555555) | (pCof1[i] & 0xAAAAAAAA);
+ return;
+ case 1:
+ for ( i = 0; i < nWords; i++ )
+ pOut[i] = (~pCof0[i] & 0x33333333) | (pCof1[i] & 0xCCCCCCCC);
+ return;
+ case 2:
+ for ( i = 0; i < nWords; i++ )
+ pOut[i] = (~pCof0[i] & 0x0F0F0F0F) | (pCof1[i] & 0xF0F0F0F0);
+ return;
+ case 3:
+ for ( i = 0; i < nWords; i++ )
+ pOut[i] = (~pCof0[i] & 0x00FF00FF) | (pCof1[i] & 0xFF00FF00);
+ return;
+ case 4:
+ for ( i = 0; i < nWords; i++ )
+ pOut[i] = (~pCof0[i] & 0x0000FFFF) | (pCof1[i] & 0xFFFF0000);
+ return;
+ default:
+ Step = (1 << (iVar - 5));
+ for ( k = 0; k < nWords; k += 2*Step )
+ {
+ for ( i = 0; i < Step; i++ )
+ {
+ pOut[i] = ~pCof0[i];
+ pOut[Step+i] = pCof1[Step+i];
+ }
+ pOut += 2*Step;
+ pCof0 += 2*Step;
+ pCof1 += 2*Step;
+ }
+ return;
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Checks symmetry of two variables.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Kit_TruthVarsSymm( unsigned * pTruth, int nVars, int iVar0, int iVar1 )
+{
+ static unsigned uTemp0[16], uTemp1[16];
+ assert( nVars <= 9 );
+ // compute Cof01
+ Kit_TruthCopy( uTemp0, pTruth, nVars );
+ Kit_TruthCofactor0( uTemp0, nVars, iVar0 );
+ Kit_TruthCofactor1( uTemp0, nVars, iVar1 );
+ // compute Cof10
+ Kit_TruthCopy( uTemp1, pTruth, nVars );
+ Kit_TruthCofactor1( uTemp1, nVars, iVar0 );
+ Kit_TruthCofactor0( uTemp1, nVars, iVar1 );
+ // compare
+ return Kit_TruthIsEqual( uTemp0, uTemp1, nVars );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Checks antisymmetry of two variables.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Kit_TruthVarsAntiSymm( unsigned * pTruth, int nVars, int iVar0, int iVar1 )
+{
+ static unsigned uTemp0[16], uTemp1[16];
+ assert( nVars <= 9 );
+ // compute Cof00
+ Kit_TruthCopy( uTemp0, pTruth, nVars );
+ Kit_TruthCofactor0( uTemp0, nVars, iVar0 );
+ Kit_TruthCofactor0( uTemp0, nVars, iVar1 );
+ // compute Cof11
+ Kit_TruthCopy( uTemp1, pTruth, nVars );
+ Kit_TruthCofactor1( uTemp1, nVars, iVar0 );
+ Kit_TruthCofactor1( uTemp1, nVars, iVar1 );
+ // compare
+ return Kit_TruthIsEqual( uTemp0, uTemp1, nVars );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Changes phase of the function w.r.t. one variable.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_TruthChangePhase( unsigned * pTruth, int nVars, int iVar )
+{
+ int nWords = Kit_TruthWordNum( nVars );
+ int i, k, Step;
+ unsigned Temp;
+
+ assert( iVar < nVars );
+ switch ( iVar )
+ {
+ case 0:
+ for ( i = 0; i < nWords; i++ )
+ pTruth[i] = ((pTruth[i] & 0x55555555) << 1) | ((pTruth[i] & 0xAAAAAAAA) >> 1);
+ return;
+ case 1:
+ for ( i = 0; i < nWords; i++ )
+ pTruth[i] = ((pTruth[i] & 0x33333333) << 2) | ((pTruth[i] & 0xCCCCCCCC) >> 2);
+ return;
+ case 2:
+ for ( i = 0; i < nWords; i++ )
+ pTruth[i] = ((pTruth[i] & 0x0F0F0F0F) << 4) | ((pTruth[i] & 0xF0F0F0F0) >> 4);
+ return;
+ case 3:
+ for ( i = 0; i < nWords; i++ )
+ pTruth[i] = ((pTruth[i] & 0x00FF00FF) << 8) | ((pTruth[i] & 0xFF00FF00) >> 8);
+ return;
+ case 4:
+ for ( i = 0; i < nWords; i++ )
+ pTruth[i] = ((pTruth[i] & 0x0000FFFF) << 16) | ((pTruth[i] & 0xFFFF0000) >> 16);
+ return;
+ default:
+ Step = (1 << (iVar - 5));
+ for ( k = 0; k < nWords; k += 2*Step )
+ {
+ for ( i = 0; i < Step; i++ )
+ {
+ Temp = pTruth[i];
+ pTruth[i] = pTruth[Step+i];
+ pTruth[Step+i] = Temp;
+ }
+ pTruth += 2*Step;
+ }
+ return;
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes minimum overlap in supports of cofactors.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Kit_TruthMinCofSuppOverlap( unsigned * pTruth, int nVars, int * pVarMin )
+{
+ static unsigned uCofactor[16];
+ int i, ValueCur, ValueMin, VarMin;
+ unsigned uSupp0, uSupp1;
+ int nVars0, nVars1;
+ assert( nVars <= 9 );
+ ValueMin = 32;
+ VarMin = -1;
+ for ( i = 0; i < nVars; i++ )
+ {
+ // get negative cofactor
+ Kit_TruthCopy( uCofactor, pTruth, nVars );
+ Kit_TruthCofactor0( uCofactor, nVars, i );
+ uSupp0 = Kit_TruthSupport( uCofactor, nVars );
+ nVars0 = Kit_WordCountOnes( uSupp0 );
+//Kit_PrintBinary( stdout, &uSupp0, 8 ); printf( "\n" );
+ // get positive cofactor
+ Kit_TruthCopy( uCofactor, pTruth, nVars );
+ Kit_TruthCofactor1( uCofactor, nVars, i );
+ uSupp1 = Kit_TruthSupport( uCofactor, nVars );
+ nVars1 = Kit_WordCountOnes( uSupp1 );
+//Kit_PrintBinary( stdout, &uSupp1, 8 ); printf( "\n" );
+ // get the number of common vars
+ ValueCur = Kit_WordCountOnes( uSupp0 & uSupp1 );
+ if ( ValueMin > ValueCur && nVars0 <= 5 && nVars1 <= 5 )
+ {
+ ValueMin = ValueCur;
+ VarMin = i;
+ }
+ if ( ValueMin == 0 )
+ break;
+ }
+ if ( pVarMin )
+ *pVarMin = VarMin;
+ return ValueMin;
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Find the best cofactoring variable.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Kit_TruthBestCofVar( unsigned * pTruth, int nVars, unsigned * pCof0, unsigned * pCof1 )
+{
+ int i, iBestVar, nSuppSizeCur0, nSuppSizeCur1, nSuppSizeCur, nSuppSizeMin;
+ if ( Kit_TruthIsConst0(pTruth, nVars) || Kit_TruthIsConst1(pTruth, nVars) )
+ return -1;
+ // iterate through variables
+ iBestVar = -1;
+ nSuppSizeMin = KIT_INFINITY;
+ for ( i = 0; i < nVars; i++ )
+ {
+ // cofactor the functiona and get support sizes
+ Kit_TruthCofactor0New( pCof0, pTruth, nVars, i );
+ Kit_TruthCofactor1New( pCof1, pTruth, nVars, i );
+ nSuppSizeCur0 = Kit_TruthSupportSize( pCof0, nVars );
+ nSuppSizeCur1 = Kit_TruthSupportSize( pCof1, nVars );
+ nSuppSizeCur = nSuppSizeCur0 + nSuppSizeCur1;
+ // compare this variable with other variables
+ if ( nSuppSizeMin > nSuppSizeCur )
+ {
+ nSuppSizeMin = nSuppSizeCur;
+ iBestVar = i;
+ }
+ }
+ assert( iBestVar != -1 );
+ // cofactor w.r.t. this variable
+ Kit_TruthCofactor0New( pCof0, pTruth, nVars, iBestVar );
+ Kit_TruthCofactor1New( pCof1, pTruth, nVars, iBestVar );
+ return iBestVar;
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Counts the number of 1's in each cofactor.]
+
+ Description [The resulting numbers are stored in the array of shorts,
+ whose length is 2*nVars. The number of 1's is counted in a different
+ space than the original function. For example, if the function depends
+ on k variables, the cofactors are assumed to depend on k-1 variables.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_TruthCountOnesInCofs( unsigned * pTruth, int nVars, short * pStore )
+{
+ int nWords = Kit_TruthWordNum( nVars );
+ int i, k, Counter;
+ memset( pStore, 0, sizeof(short) * 2 * nVars );
+ if ( nVars <= 5 )
+ {
+ if ( nVars > 0 )
+ {
+ pStore[2*0+0] = Kit_WordCountOnes( pTruth[0] & 0x55555555 );
+ pStore[2*0+1] = Kit_WordCountOnes( pTruth[0] & 0xAAAAAAAA );
+ }
+ if ( nVars > 1 )
+ {
+ pStore[2*1+0] = Kit_WordCountOnes( pTruth[0] & 0x33333333 );
+ pStore[2*1+1] = Kit_WordCountOnes( pTruth[0] & 0xCCCCCCCC );
+ }
+ if ( nVars > 2 )
+ {
+ pStore[2*2+0] = Kit_WordCountOnes( pTruth[0] & 0x0F0F0F0F );
+ pStore[2*2+1] = Kit_WordCountOnes( pTruth[0] & 0xF0F0F0F0 );
+ }
+ if ( nVars > 3 )
+ {
+ pStore[2*3+0] = Kit_WordCountOnes( pTruth[0] & 0x00FF00FF );
+ pStore[2*3+1] = Kit_WordCountOnes( pTruth[0] & 0xFF00FF00 );
+ }
+ if ( nVars > 4 )
+ {
+ pStore[2*4+0] = Kit_WordCountOnes( pTruth[0] & 0x0000FFFF );
+ pStore[2*4+1] = Kit_WordCountOnes( pTruth[0] & 0xFFFF0000 );
+ }
+ return;
+ }
+ // nVars >= 6
+ // count 1's for all other variables
+ for ( k = 0; k < nWords; k++ )
+ {
+ Counter = Kit_WordCountOnes( pTruth[k] );
+ for ( i = 5; i < nVars; i++ )
+ if ( k & (1 << (i-5)) )
+ pStore[2*i+1] += Counter;
+ else
+ pStore[2*i+0] += Counter;
+ }
+ // count 1's for the first five variables
+ for ( k = 0; k < nWords/2; k++ )
+ {
+ pStore[2*0+0] += Kit_WordCountOnes( (pTruth[0] & 0x55555555) | ((pTruth[1] & 0x55555555) << 1) );
+ pStore[2*0+1] += Kit_WordCountOnes( (pTruth[0] & 0xAAAAAAAA) | ((pTruth[1] & 0xAAAAAAAA) >> 1) );
+ pStore[2*1+0] += Kit_WordCountOnes( (pTruth[0] & 0x33333333) | ((pTruth[1] & 0x33333333) << 2) );
+ pStore[2*1+1] += Kit_WordCountOnes( (pTruth[0] & 0xCCCCCCCC) | ((pTruth[1] & 0xCCCCCCCC) >> 2) );
+ pStore[2*2+0] += Kit_WordCountOnes( (pTruth[0] & 0x0F0F0F0F) | ((pTruth[1] & 0x0F0F0F0F) << 4) );
+ pStore[2*2+1] += Kit_WordCountOnes( (pTruth[0] & 0xF0F0F0F0) | ((pTruth[1] & 0xF0F0F0F0) >> 4) );
+ pStore[2*3+0] += Kit_WordCountOnes( (pTruth[0] & 0x00FF00FF) | ((pTruth[1] & 0x00FF00FF) << 8) );
+ pStore[2*3+1] += Kit_WordCountOnes( (pTruth[0] & 0xFF00FF00) | ((pTruth[1] & 0xFF00FF00) >> 8) );
+ pStore[2*4+0] += Kit_WordCountOnes( (pTruth[0] & 0x0000FFFF) | ((pTruth[1] & 0x0000FFFF) << 16) );
+ pStore[2*4+1] += Kit_WordCountOnes( (pTruth[0] & 0xFFFF0000) | ((pTruth[1] & 0xFFFF0000) >> 16) );
+ pTruth += 2;
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Counts the number of 1's in each cofactor.]
+
+ Description [Verifies the above procedure.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_TruthCountOnesInCofsSlow( unsigned * pTruth, int nVars, short * pStore, unsigned * pAux )
+{
+ int i;
+ for ( i = 0; i < nVars; i++ )
+ {
+ Kit_TruthCofactor0New( pAux, pTruth, nVars, i );
+ pStore[2*i+0] = Kit_TruthCountOnes( pAux, nVars ) / 2;
+ Kit_TruthCofactor1New( pAux, pTruth, nVars, i );
+ pStore[2*i+1] = Kit_TruthCountOnes( pAux, nVars ) / 2;
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Canonicize the truth table.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+unsigned Kit_TruthHash( unsigned * pIn, int nWords )
+{
+ // The 1,024 smallest prime numbers used to compute the hash value
+ // http://www.math.utah.edu/~alfeld/math/primelist.html
+ static int HashPrimes[1024] = { 2, 3, 5,
+ 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97,
+ 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191,
+ 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283,
+ 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401,
+ 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509,
+ 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613, 617, 619, 631,
+ 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751,
+ 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877,
+ 881, 883, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997,
+ 1009, 1013, 1019, 1021, 1031, 1033, 1039, 1049, 1051, 1061, 1063, 1069, 1087, 1091,
+ 1093, 1097, 1103, 1109, 1117, 1123, 1129, 1151, 1153, 1163, 1171, 1181, 1187, 1193,
+ 1201, 1213, 1217, 1223, 1229, 1231, 1237, 1249, 1259, 1277, 1279, 1283, 1289, 1291,
+ 1297, 1301, 1303, 1307, 1319, 1321, 1327, 1361, 1367, 1373, 1381, 1399, 1409, 1423,
+ 1427, 1429, 1433, 1439, 1447, 1451, 1453, 1459, 1471, 1481, 1483, 1487, 1489, 1493,
+ 1499, 1511, 1523, 1531, 1543, 1549, 1553, 1559, 1567, 1571, 1579, 1583, 1597, 1601,
+ 1607, 1609, 1613, 1619, 1621, 1627, 1637, 1657, 1663, 1667, 1669, 1693, 1697, 1699,
+ 1709, 1721, 1723, 1733, 1741, 1747, 1753, 1759, 1777, 1783, 1787, 1789, 1801, 1811,
+ 1823, 1831, 1847, 1861, 1867, 1871, 1873, 1877, 1879, 1889, 1901, 1907, 1913, 1931,
+ 1933, 1949, 1951, 1973, 1979, 1987, 1993, 1997, 1999, 2003, 2011, 2017, 2027, 2029,
+ 2039, 2053, 2063, 2069, 2081, 2083, 2087, 2089, 2099, 2111, 2113, 2129, 2131, 2137,
+ 2141, 2143, 2153, 2161, 2179, 2203, 2207, 2213, 2221, 2237, 2239, 2243, 2251, 2267,
+ 2269, 2273, 2281, 2287, 2293, 2297, 2309, 2311, 2333, 2339, 2341, 2347, 2351, 2357,
+ 2371, 2377, 2381, 2383, 2389, 2393, 2399, 2411, 2417, 2423, 2437, 2441, 2447, 2459,
+ 2467, 2473, 2477, 2503, 2521, 2531, 2539, 2543, 2549, 2551, 2557, 2579, 2591, 2593,
+ 2609, 2617, 2621, 2633, 2647, 2657, 2659, 2663, 2671, 2677, 2683, 2687, 2689, 2693,
+ 2699, 2707, 2711, 2713, 2719, 2729, 2731, 2741, 2749, 2753, 2767, 2777, 2789, 2791,
+ 2797, 2801, 2803, 2819, 2833, 2837, 2843, 2851, 2857, 2861, 2879, 2887, 2897, 2903,
+ 2909, 2917, 2927, 2939, 2953, 2957, 2963, 2969, 2971, 2999, 3001, 3011, 3019, 3023,
+ 3037, 3041, 3049, 3061, 3067, 3079, 3083, 3089, 3109, 3119, 3121, 3137, 3163, 3167,
+ 3169, 3181, 3187, 3191, 3203, 3209, 3217, 3221, 3229, 3251, 3253, 3257, 3259, 3271,
+ 3299, 3301, 3307, 3313, 3319, 3323, 3329, 3331, 3343, 3347, 3359, 3361, 3371, 3373,
+ 3389, 3391, 3407, 3413, 3433, 3449, 3457, 3461, 3463, 3467, 3469, 3491, 3499, 3511,
+ 3517, 3527, 3529, 3533, 3539, 3541, 3547, 3557, 3559, 3571, 3581, 3583, 3593, 3607,
+ 3613, 3617, 3623, 3631, 3637, 3643, 3659, 3671, 3673, 3677, 3691, 3697, 3701, 3709,
+ 3719, 3727, 3733, 3739, 3761, 3767, 3769, 3779, 3793, 3797, 3803, 3821, 3823, 3833,
+ 3847, 3851, 3853, 3863, 3877, 3881, 3889, 3907, 3911, 3917, 3919, 3923, 3929, 3931,
+ 3943, 3947, 3967, 3989, 4001, 4003, 4007, 4013, 4019, 4021, 4027, 4049, 4051, 4057,
+ 4073, 4079, 4091, 4093, 4099, 4111, 4127, 4129, 4133, 4139, 4153, 4157, 4159, 4177,
+ 4201, 4211, 4217, 4219, 4229, 4231, 4241, 4243, 4253, 4259, 4261, 4271, 4273, 4283,
+ 4289, 4297, 4327, 4337, 4339, 4349, 4357, 4363, 4373, 4391, 4397, 4409, 4421, 4423,
+ 4441, 4447, 4451, 4457, 4463, 4481, 4483, 4493, 4507, 4513, 4517, 4519, 4523, 4547,
+ 4549, 4561, 4567, 4583, 4591, 4597, 4603, 4621, 4637, 4639, 4643, 4649, 4651, 4657,
+ 4663, 4673, 4679, 4691, 4703, 4721, 4723, 4729, 4733, 4751, 4759, 4783, 4787, 4789,
+ 4793, 4799, 4801, 4813, 4817, 4831, 4861, 4871, 4877, 4889, 4903, 4909, 4919, 4931,
+ 4933, 4937, 4943, 4951, 4957, 4967, 4969, 4973, 4987, 4993, 4999, 5003, 5009, 5011,
+ 5021, 5023, 5039, 5051, 5059, 5077, 5081, 5087, 5099, 5101, 5107, 5113, 5119, 5147,
+ 5153, 5167, 5171, 5179, 5189, 5197, 5209, 5227, 5231, 5233, 5237, 5261, 5273, 5279,
+ 5281, 5297, 5303, 5309, 5323, 5333, 5347, 5351, 5381, 5387, 5393, 5399, 5407, 5413,
+ 5417, 5419, 5431, 5437, 5441, 5443, 5449, 5471, 5477, 5479, 5483, 5501, 5503, 5507,
+ 5519, 5521, 5527, 5531, 5557, 5563, 5569, 5573, 5581, 5591, 5623, 5639, 5641, 5647,
+ 5651, 5653, 5657, 5659, 5669, 5683, 5689, 5693, 5701, 5711, 5717, 5737, 5741, 5743,
+ 5749, 5779, 5783, 5791, 5801, 5807, 5813, 5821, 5827, 5839, 5843, 5849, 5851, 5857,
+ 5861, 5867, 5869, 5879, 5881, 5897, 5903, 5923, 5927, 5939, 5953, 5981, 5987, 6007,
+ 6011, 6029, 6037, 6043, 6047, 6053, 6067, 6073, 6079, 6089, 6091, 6101, 6113, 6121,
+ 6131, 6133, 6143, 6151, 6163, 6173, 6197, 6199, 6203, 6211, 6217, 6221, 6229, 6247,
+ 6257, 6263, 6269, 6271, 6277, 6287, 6299, 6301, 6311, 6317, 6323, 6329, 6337, 6343,
+ 6353, 6359, 6361, 6367, 6373, 6379, 6389, 6397, 6421, 6427, 6449, 6451, 6469, 6473,
+ 6481, 6491, 6521, 6529, 6547, 6551, 6553, 6563, 6569, 6571, 6577, 6581, 6599, 6607,
+ 6619, 6637, 6653, 6659, 6661, 6673, 6679, 6689, 6691, 6701, 6703, 6709, 6719, 6733,
+ 6737, 6761, 6763, 6779, 6781, 6791, 6793, 6803, 6823, 6827, 6829, 6833, 6841, 6857,
+ 6863, 6869, 6871, 6883, 6899, 6907, 6911, 6917, 6947, 6949, 6959, 6961, 6967, 6971,
+ 6977, 6983, 6991, 6997, 7001, 7013, 7019, 7027, 7039, 7043, 7057, 7069, 7079, 7103,
+ 7109, 7121, 7127, 7129, 7151, 7159, 7177, 7187, 7193, 7207, 7211, 7213, 7219, 7229,
+ 7237, 7243, 7247, 7253, 7283, 7297, 7307, 7309, 7321, 7331, 7333, 7349, 7351, 7369,
+ 7393, 7411, 7417, 7433, 7451, 7457, 7459, 7477, 7481, 7487, 7489, 7499, 7507, 7517,
+ 7523, 7529, 7537, 7541, 7547, 7549, 7559, 7561, 7573, 7577, 7583, 7589, 7591, 7603,
+ 7607, 7621, 7639, 7643, 7649, 7669, 7673, 7681, 7687, 7691, 7699, 7703, 7717, 7723,
+ 7727, 7741, 7753, 7757, 7759, 7789, 7793, 7817, 7823, 7829, 7841, 7853, 7867, 7873,
+ 7877, 7879, 7883, 7901, 7907, 7919, 7927, 7933, 7937, 7949, 7951, 7963, 7993, 8009,
+ 8011, 8017, 8039, 8053, 8059, 8069, 8081, 8087, 8089, 8093, 8101, 8111, 8117, 8123,
+ 8147, 8161 };
+ int i;
+ unsigned uHashKey;
+ assert( nWords <= 1024 );
+ uHashKey = 0;
+ for ( i = 0; i < nWords; i++ )
+ uHashKey ^= HashPrimes[i] * pIn[i];
+ return uHashKey;
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Canonicize the truth table.]
+
+ Description [Returns the phase. ]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+unsigned Kit_TruthSemiCanonicize( unsigned * pInOut, unsigned * pAux, int nVars, char * pCanonPerm, short * pStore )
+{
+// short pStore2[32];
+ unsigned * pIn = pInOut, * pOut = pAux, * pTemp;
+// int nWords = Kit_TruthWordNum( nVars );
+ int i, Temp, fChange, Counter;//, nOnes;//, k, j, w, Limit;
+ unsigned uCanonPhase;
+
+ // canonicize output
+ uCanonPhase = 0;
+/*
+ nOnes = Kit_TruthCountOnes(pIn, nVars);
+ if ( (nOnes > nWords * 16) )//|| ((nOnes == nWords * 16) && (pIn[0] & 1)) )
+ {
+ uCanonPhase |= (1 << nVars);
+ Kit_TruthNot( pIn, pIn, nVars );
+ }
+*/
+ // collect the minterm counts
+ Kit_TruthCountOnesInCofs( pIn, nVars, pStore );
+// Kit_TruthCountOnesInCofsSlow( pIn, nVars, pStore2, pAux );
+// for ( i = 0; i < 2*nVars; i++ )
+// {
+// assert( pStore[i] == pStore2[i] );
+// }
+
+ // canonicize phase
+ for ( i = 0; i < nVars; i++ )
+ {
+ if ( pStore[2*i+0] >= pStore[2*i+1] )
+ continue;
+ uCanonPhase |= (1 << i);
+ Temp = pStore[2*i+0];
+ pStore[2*i+0] = pStore[2*i+1];
+ pStore[2*i+1] = Temp;
+ Kit_TruthChangePhase( pIn, nVars, i );
+ }
+
+// Kit_PrintHexadecimal( stdout, pIn, nVars );
+// printf( "\n" );
+
+ // permute
+ Counter = 0;
+ do {
+ fChange = 0;
+ for ( i = 0; i < nVars-1; i++ )
+ {
+ if ( pStore[2*i] >= pStore[2*(i+1)] )
+ continue;
+ Counter++;
+ fChange = 1;
+
+ Temp = pCanonPerm[i];
+ pCanonPerm[i] = pCanonPerm[i+1];
+ pCanonPerm[i+1] = Temp;
+
+ Temp = pStore[2*i];
+ pStore[2*i] = pStore[2*(i+1)];
+ pStore[2*(i+1)] = Temp;
+
+ Temp = pStore[2*i+1];
+ pStore[2*i+1] = pStore[2*(i+1)+1];
+ pStore[2*(i+1)+1] = Temp;
+
+ // if the polarity of variables is different, swap them
+ if ( ((uCanonPhase & (1 << i)) > 0) != ((uCanonPhase & (1 << (i+1))) > 0) )
+ {
+ uCanonPhase ^= (1 << i);
+ uCanonPhase ^= (1 << (i+1));
+ }
+
+ Kit_TruthSwapAdjacentVars( pOut, pIn, nVars, i );
+ pTemp = pIn; pIn = pOut; pOut = pTemp;
+ }
+ } while ( fChange );
+
+/*
+ Extra_PrintBinary( stdout, &uCanonPhase, nVars+1 ); printf( " : " );
+ for ( i = 0; i < nVars; i++ )
+ printf( "%d=%d/%d ", pCanonPerm[i], pStore[2*i], pStore[2*i+1] );
+ printf( " C = %d\n", Counter );
+ Extra_PrintHexadecimal( stdout, pIn, nVars );
+ printf( "\n" );
+*/
+
+/*
+ // process symmetric variable groups
+ uSymms = 0;
+ for ( i = 0; i < nVars-1; i++ )
+ {
+ if ( pStore[2*i] != pStore[2*(i+1)] ) // i and i+1 cannot be symmetric
+ continue;
+ if ( pStore[2*i] != pStore[2*i+1] )
+ continue;
+ if ( Kit_TruthVarsSymm( pIn, nVars, i, i+1 ) )
+ continue;
+ if ( Kit_TruthVarsAntiSymm( pIn, nVars, i, i+1 ) )
+ Kit_TruthChangePhase( pIn, nVars, i+1 );
+ }
+*/
+
+/*
+ // process symmetric variable groups
+ uSymms = 0;
+ for ( i = 0; i < nVars-1; i++ )
+ {
+ if ( pStore[2*i] != pStore[2*(i+1)] ) // i and i+1 cannot be symmetric
+ continue;
+ // i and i+1 can be symmetric
+ // find the end of this group
+ for ( k = i+1; k < nVars; k++ )
+ if ( pStore[2*i] != pStore[2*k] )
+ break;
+ Limit = k;
+ assert( i < Limit-1 );
+ // go through the variables in this group
+ for ( j = i + 1; j < Limit; j++ )
+ {
+ // check symmetry
+ if ( Kit_TruthVarsSymm( pIn, nVars, i, j ) )
+ {
+ uSymms |= (1 << j);
+ continue;
+ }
+ // they are phase-unknown
+ if ( pStore[2*i] == pStore[2*i+1] )
+ {
+ if ( Kit_TruthVarsAntiSymm( pIn, nVars, i, j ) )
+ {
+ Kit_TruthChangePhase( pIn, nVars, j );
+ uCanonPhase ^= (1 << j);
+ uSymms |= (1 << j);
+ continue;
+ }
+ }
+
+ // they are not symmetric - move j as far as it goes in the group
+ for ( k = j; k < Limit-1; k++ )
+ {
+ Counter++;
+
+ Temp = pCanonPerm[k];
+ pCanonPerm[k] = pCanonPerm[k+1];
+ pCanonPerm[k+1] = Temp;
+
+ assert( pStore[2*k] == pStore[2*(k+1)] );
+ Kit_TruthSwapAdjacentVars( pOut, pIn, nVars, k );
+ pTemp = pIn; pIn = pOut; pOut = pTemp;
+ }
+ Limit--;
+ j--;
+ }
+ i = Limit - 1;
+ }
+*/
+
+ // swap if it was moved an even number of times
+ if ( Counter & 1 )
+ Kit_TruthCopy( pOut, pIn, nVars );
+ return uCanonPhase;
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Fast counting minterms in the cofactors of a function.]
+
+ Description [Returns the total number of minterms in the function.
+ The resulting array (pRes) contains the number of minterms in 0-cofactor
+ w.r.t. each variables. The additional array (pBytes) is used for internal
+ storage. It should have the size equal to the number of truth table bytes.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Kit_TruthCountMinterms( unsigned * pTruth, int nVars, int * pRes, int * pBytes )
+{
+ // the number of 1s if every byte as well as in the 0-cofactors w.r.t. three variables
+ static unsigned Table[256] = {
+ 0x00000000, 0x01010101, 0x01010001, 0x02020102, 0x01000101, 0x02010202, 0x02010102, 0x03020203,
+ 0x01000001, 0x02010102, 0x02010002, 0x03020103, 0x02000102, 0x03010203, 0x03010103, 0x04020204,
+ 0x00010101, 0x01020202, 0x01020102, 0x02030203, 0x01010202, 0x02020303, 0x02020203, 0x03030304,
+ 0x01010102, 0x02020203, 0x02020103, 0x03030204, 0x02010203, 0x03020304, 0x03020204, 0x04030305,
+ 0x00010001, 0x01020102, 0x01020002, 0x02030103, 0x01010102, 0x02020203, 0x02020103, 0x03030204,
+ 0x01010002, 0x02020103, 0x02020003, 0x03030104, 0x02010103, 0x03020204, 0x03020104, 0x04030205,
+ 0x00020102, 0x01030203, 0x01030103, 0x02040204, 0x01020203, 0x02030304, 0x02030204, 0x03040305,
+ 0x01020103, 0x02030204, 0x02030104, 0x03040205, 0x02020204, 0x03030305, 0x03030205, 0x04040306,
+ 0x00000101, 0x01010202, 0x01010102, 0x02020203, 0x01000202, 0x02010303, 0x02010203, 0x03020304,
+ 0x01000102, 0x02010203, 0x02010103, 0x03020204, 0x02000203, 0x03010304, 0x03010204, 0x04020305,
+ 0x00010202, 0x01020303, 0x01020203, 0x02030304, 0x01010303, 0x02020404, 0x02020304, 0x03030405,
+ 0x01010203, 0x02020304, 0x02020204, 0x03030305, 0x02010304, 0x03020405, 0x03020305, 0x04030406,
+ 0x00010102, 0x01020203, 0x01020103, 0x02030204, 0x01010203, 0x02020304, 0x02020204, 0x03030305,
+ 0x01010103, 0x02020204, 0x02020104, 0x03030205, 0x02010204, 0x03020305, 0x03020205, 0x04030306,
+ 0x00020203, 0x01030304, 0x01030204, 0x02040305, 0x01020304, 0x02030405, 0x02030305, 0x03040406,
+ 0x01020204, 0x02030305, 0x02030205, 0x03040306, 0x02020305, 0x03030406, 0x03030306, 0x04040407,
+ 0x00000001, 0x01010102, 0x01010002, 0x02020103, 0x01000102, 0x02010203, 0x02010103, 0x03020204,
+ 0x01000002, 0x02010103, 0x02010003, 0x03020104, 0x02000103, 0x03010204, 0x03010104, 0x04020205,
+ 0x00010102, 0x01020203, 0x01020103, 0x02030204, 0x01010203, 0x02020304, 0x02020204, 0x03030305,
+ 0x01010103, 0x02020204, 0x02020104, 0x03030205, 0x02010204, 0x03020305, 0x03020205, 0x04030306,
+ 0x00010002, 0x01020103, 0x01020003, 0x02030104, 0x01010103, 0x02020204, 0x02020104, 0x03030205,
+ 0x01010003, 0x02020104, 0x02020004, 0x03030105, 0x02010104, 0x03020205, 0x03020105, 0x04030206,
+ 0x00020103, 0x01030204, 0x01030104, 0x02040205, 0x01020204, 0x02030305, 0x02030205, 0x03040306,
+ 0x01020104, 0x02030205, 0x02030105, 0x03040206, 0x02020205, 0x03030306, 0x03030206, 0x04040307,
+ 0x00000102, 0x01010203, 0x01010103, 0x02020204, 0x01000203, 0x02010304, 0x02010204, 0x03020305,
+ 0x01000103, 0x02010204, 0x02010104, 0x03020205, 0x02000204, 0x03010305, 0x03010205, 0x04020306,
+ 0x00010203, 0x01020304, 0x01020204, 0x02030305, 0x01010304, 0x02020405, 0x02020305, 0x03030406,
+ 0x01010204, 0x02020305, 0x02020205, 0x03030306, 0x02010305, 0x03020406, 0x03020306, 0x04030407,
+ 0x00010103, 0x01020204, 0x01020104, 0x02030205, 0x01010204, 0x02020305, 0x02020205, 0x03030306,
+ 0x01010104, 0x02020205, 0x02020105, 0x03030206, 0x02010205, 0x03020306, 0x03020206, 0x04030307,
+ 0x00020204, 0x01030305, 0x01030205, 0x02040306, 0x01020305, 0x02030406, 0x02030306, 0x03040407,
+ 0x01020205, 0x02030306, 0x02030206, 0x03040307, 0x02020306, 0x03030407, 0x03030307, 0x04040408
+ };
+ unsigned uSum;
+ unsigned char * pTruthC, * pLimit;
+ int i, iVar, Step, nWords, nBytes, nTotal;
+
+ assert( nVars <= 20 );
+
+ // clear storage
+ memset( pRes, 0, sizeof(int) * nVars );
+
+ // count the number of one's in 0-cofactors of the first three variables
+ nTotal = uSum = 0;
+ nWords = Kit_TruthWordNum( nVars );
+ nBytes = nWords * 4;
+ pTruthC = (unsigned char *)pTruth;
+ pLimit = pTruthC + nBytes;
+ for ( ; pTruthC < pLimit; pTruthC++ )
+ {
+ uSum += Table[*pTruthC];
+ *pBytes++ = (Table[*pTruthC] & 0xff);
+ if ( (uSum & 0xff) > 246 )
+ {
+ nTotal += (uSum & 0xff);
+ pRes[0] += ((uSum >> 8) & 0xff);
+ pRes[2] += ((uSum >> 16) & 0xff);
+ pRes[3] += ((uSum >> 24) & 0xff);
+ uSum = 0;
+ }
+ }
+ if ( uSum )
+ {
+ nTotal += (uSum & 0xff);
+ pRes[0] += ((uSum >> 8) & 0xff);
+ pRes[1] += ((uSum >> 16) & 0xff);
+ pRes[2] += ((uSum >> 24) & 0xff);
+ }
+
+ // count all other variables
+ for ( iVar = 3, Step = 1; Step < nBytes; Step *= 2, iVar++ )
+ for ( i = 0; i < nBytes; i += Step + Step )
+ {
+ pRes[iVar] += pBytes[i];
+ pBytes[i] += pBytes[i+Step];
+ }
+ assert( pBytes[0] == nTotal );
+ assert( iVar == nVars );
+ return nTotal;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Prints the hex unsigned into a file.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_PrintHexadecimal( FILE * pFile, unsigned Sign[], int nVars )
+{
+ int nDigits, Digit, k;
+ // write the number into the file
+ nDigits = (1 << nVars) / 4;
+ for ( k = nDigits - 1; k >= 0; k-- )
+ {
+ Digit = ((Sign[k/8] >> ((k%8) * 4)) & 15);
+ if ( Digit < 10 )
+ fprintf( pFile, "%d", Digit );
+ else
+ fprintf( pFile, "%c", 'a' + Digit-10 );
+ }
+// fprintf( pFile, "\n" );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Fast counting minterms for the functions.]
+
+ Description [Returns 0 if the function is a constant.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_TruthCountMintermsPrecomp()
+{
+ int bit_count[256] = {
+ 0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
+ 1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
+ 1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
+ 2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
+ 1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
+ 2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
+ 2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
+ 3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8
+ };
+ unsigned i, uWord;
+ for ( i = 0; i < 256; i++ )
+ {
+ if ( i % 8 == 0 )
+ printf( "\n" );
+ uWord = bit_count[i];
+ uWord |= (bit_count[i & 0x55] << 8);
+ uWord |= (bit_count[i & 0x33] << 16);
+ uWord |= (bit_count[i & 0x0f] << 24);
+ printf( "0x" );
+ Kit_PrintHexadecimal( stdout, &uWord, 5 );
+ printf( ", " );
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Dumps truth table into a file.]
+
+ Description [Generates script file for reading into ABC.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+char * Kit_TruthDumpToFile( unsigned * pTruth, int nVars, int nFile )
+{
+ static char pFileName[100];
+ FILE * pFile;
+ sprintf( pFileName, "tt\\s%04d", nFile );
+ pFile = fopen( pFileName, "w" );
+ fprintf( pFile, "rt " );
+ Kit_PrintHexadecimal( pFile, pTruth, nVars );
+ fprintf( pFile, "; bdd; sop; ps\n" );
+ fclose( pFile );
+ return pFileName;
+}
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/kit/kit_.c b/src/aig/kit/kit_.c
new file mode 100644
index 00000000..5c68ee3c
--- /dev/null
+++ b/src/aig/kit/kit_.c
@@ -0,0 +1,48 @@
+/**CFile****************************************************************
+
+ FileName [kit_.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [Computation kit.]
+
+ Synopsis []
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - Dec 6, 2006.]
+
+ Revision [$Id: kit_.c,v 1.00 2006/12/06 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "kit.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/kit/module.make b/src/aig/kit/module.make
new file mode 100644
index 00000000..ea62381b
--- /dev/null
+++ b/src/aig/kit/module.make
@@ -0,0 +1,10 @@
+SRC += src/aig/kit/kitAig.c \
+ src/aig/kit/kitBdd.c \
+ src/aig/kit/kitCloud.c src/aig/kit/cloud.c \
+ src/aig/kit/kitDsd.c \
+ src/aig/kit/kitFactor.c \
+ src/aig/kit/kitGraph.c \
+ src/aig/kit/kitHop.c \
+ src/aig/kit/kitIsop.c \
+ src/aig/kit/kitSop.c \
+ src/aig/kit/kitTruth.c
diff --git a/src/aig/mem/mem.c b/src/aig/mem/mem.c
new file mode 100644
index 00000000..f5bfbfd8
--- /dev/null
+++ b/src/aig/mem/mem.c
@@ -0,0 +1,604 @@
+/**CFile****************************************************************
+
+ FileName [esopMem.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [Cover manipulation package.]
+
+ Synopsis [Memory managers.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - June 20, 2005.]
+
+ Revision [$Id: esopMem.c,v 1.00 2005/06/20 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <assert.h>
+#include "mem.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+struct Mem_Fixed_t_
+{
+ // information about individual entries
+ int nEntrySize; // the size of one entry
+ int nEntriesAlloc; // the total number of entries allocated
+ int nEntriesUsed; // the number of entries in use
+ int nEntriesMax; // the max number of entries in use
+ char * pEntriesFree; // the linked list of free entries
+
+ // this is where the memory is stored
+ int nChunkSize; // the size of one chunk
+ int nChunksAlloc; // the maximum number of memory chunks
+ int nChunks; // the current number of memory chunks
+ char ** pChunks; // the allocated memory
+
+ // statistics
+ int nMemoryUsed; // memory used in the allocated entries
+ int nMemoryAlloc; // memory allocated
+};
+
+struct Mem_Flex_t_
+{
+ // information about individual entries
+ int nEntriesUsed; // the number of entries allocated
+ char * pCurrent; // the current pointer to free memory
+ char * pEnd; // the first entry outside the free memory
+
+ // this is where the memory is stored
+ int nChunkSize; // the size of one chunk
+ int nChunksAlloc; // the maximum number of memory chunks
+ int nChunks; // the current number of memory chunks
+ char ** pChunks; // the allocated memory
+
+ // statistics
+ int nMemoryUsed; // memory used in the allocated entries
+ int nMemoryAlloc; // memory allocated
+};
+
+struct Mem_Step_t_
+{
+ int nMems; // the number of fixed memory managers employed
+ Mem_Fixed_t ** pMems; // memory managers: 2^1 words, 2^2 words, etc
+ int nMapSize; // the size of the memory array
+ Mem_Fixed_t ** pMap; // maps the number of bytes into its memory manager
+};
+
+#define ALLOC(type, num) ((type *) malloc(sizeof(type) * (num)))
+#define FREE(obj) ((obj) ? (free((char *) (obj)), (obj) = 0) : 0)
+#define REALLOC(type, obj, num) \
+ ((obj) ? ((type *) realloc((char *)(obj), sizeof(type) * (num))) : \
+ ((type *) malloc(sizeof(type) * (num))))
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Allocates memory pieces of fixed size.]
+
+ Description [The size of the chunk is computed as the minimum of
+ 1024 entries and 64K. Can only work with entry size at least 4 byte long.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Mem_Fixed_t * Mem_FixedStart( int nEntrySize )
+{
+ Mem_Fixed_t * p;
+
+ p = ALLOC( Mem_Fixed_t, 1 );
+ memset( p, 0, sizeof(Mem_Fixed_t) );
+
+ p->nEntrySize = nEntrySize;
+ p->nEntriesAlloc = 0;
+ p->nEntriesUsed = 0;
+ p->pEntriesFree = NULL;
+
+ if ( nEntrySize * (1 << 10) < (1<<16) )
+ p->nChunkSize = (1 << 10);
+ else
+ p->nChunkSize = (1<<16) / nEntrySize;
+ if ( p->nChunkSize < 8 )
+ p->nChunkSize = 8;
+
+ p->nChunksAlloc = 64;
+ p->nChunks = 0;
+ p->pChunks = ALLOC( char *, p->nChunksAlloc );
+
+ p->nMemoryUsed = 0;
+ p->nMemoryAlloc = 0;
+ return p;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Mem_FixedStop( Mem_Fixed_t * p, int fVerbose )
+{
+ int i;
+ if ( p == NULL )
+ return;
+ if ( fVerbose )
+ {
+ printf( "Fixed memory manager: Entry = %5d. Chunk = %5d. Chunks used = %5d.\n",
+ p->nEntrySize, p->nChunkSize, p->nChunks );
+ printf( " Entries used = %8d. Entries peak = %8d. Memory used = %8d. Memory alloc = %8d.\n",
+ p->nEntriesUsed, p->nEntriesMax, p->nEntrySize * p->nEntriesUsed, p->nMemoryAlloc );
+ }
+ for ( i = 0; i < p->nChunks; i++ )
+ free( p->pChunks[i] );
+ free( p->pChunks );
+ free( p );
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+char * Mem_FixedEntryFetch( Mem_Fixed_t * p )
+{
+ char * pTemp;
+ int i;
+
+ // check if there are still free entries
+ if ( p->nEntriesUsed == p->nEntriesAlloc )
+ { // need to allocate more entries
+ assert( p->pEntriesFree == NULL );
+ if ( p->nChunks == p->nChunksAlloc )
+ {
+ p->nChunksAlloc *= 2;
+ p->pChunks = REALLOC( char *, p->pChunks, p->nChunksAlloc );
+ }
+ p->pEntriesFree = ALLOC( char, p->nEntrySize * p->nChunkSize );
+ p->nMemoryAlloc += p->nEntrySize * p->nChunkSize;
+ // transform these entries into a linked list
+ pTemp = p->pEntriesFree;
+ for ( i = 1; i < p->nChunkSize; i++ )
+ {
+ *((char **)pTemp) = pTemp + p->nEntrySize;
+ pTemp += p->nEntrySize;
+ }
+ // set the last link
+ *((char **)pTemp) = NULL;
+ // add the chunk to the chunk storage
+ p->pChunks[ p->nChunks++ ] = p->pEntriesFree;
+ // add to the number of entries allocated
+ p->nEntriesAlloc += p->nChunkSize;
+ }
+ // incrememt the counter of used entries
+ p->nEntriesUsed++;
+ if ( p->nEntriesMax < p->nEntriesUsed )
+ p->nEntriesMax = p->nEntriesUsed;
+ // return the first entry in the free entry list
+ pTemp = p->pEntriesFree;
+ p->pEntriesFree = *((char **)pTemp);
+ return pTemp;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Mem_FixedEntryRecycle( Mem_Fixed_t * p, char * pEntry )
+{
+ // decrement the counter of used entries
+ p->nEntriesUsed--;
+ // add the entry to the linked list of free entries
+ *((char **)pEntry) = p->pEntriesFree;
+ p->pEntriesFree = pEntry;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description [Relocates all the memory except the first chunk.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Mem_FixedRestart( Mem_Fixed_t * p )
+{
+ int i;
+ char * pTemp;
+
+ // deallocate all chunks except the first one
+ for ( i = 1; i < p->nChunks; i++ )
+ free( p->pChunks[i] );
+ p->nChunks = 1;
+ // transform these entries into a linked list
+ pTemp = p->pChunks[0];
+ for ( i = 1; i < p->nChunkSize; i++ )
+ {
+ *((char **)pTemp) = pTemp + p->nEntrySize;
+ pTemp += p->nEntrySize;
+ }
+ // set the last link
+ *((char **)pTemp) = NULL;
+ // set the free entry list
+ p->pEntriesFree = p->pChunks[0];
+ // set the correct statistics
+ p->nMemoryAlloc = p->nEntrySize * p->nChunkSize;
+ p->nMemoryUsed = 0;
+ p->nEntriesAlloc = p->nChunkSize;
+ p->nEntriesUsed = 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Mem_FixedReadMemUsage( Mem_Fixed_t * p )
+{
+ return p->nMemoryAlloc;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Mem_FixedReadMaxEntriesUsed( Mem_Fixed_t * p )
+{
+ return p->nEntriesMax;
+}
+
+
+
+/**Function*************************************************************
+
+ Synopsis [Allocates entries of flexible size.]
+
+ Description [Can only work with entry size at least 4 byte long.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Mem_Flex_t * Mem_FlexStart()
+{
+ Mem_Flex_t * p;
+
+ p = ALLOC( Mem_Flex_t, 1 );
+ memset( p, 0, sizeof(Mem_Flex_t) );
+
+ p->nEntriesUsed = 0;
+ p->pCurrent = NULL;
+ p->pEnd = NULL;
+
+ p->nChunkSize = (1 << 14);
+ p->nChunksAlloc = 64;
+ p->nChunks = 0;
+ p->pChunks = ALLOC( char *, p->nChunksAlloc );
+
+ p->nMemoryUsed = 0;
+ p->nMemoryAlloc = 0;
+ return p;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Mem_FlexStop( Mem_Flex_t * p, int fVerbose )
+{
+ int i;
+ if ( p == NULL )
+ return;
+ if ( fVerbose )
+ {
+ printf( "Flexible memory manager: Chunk size = %d. Chunks used = %d.\n",
+ p->nChunkSize, p->nChunks );
+ printf( " Entries used = %d. Memory used = %d. Memory alloc = %d.\n",
+ p->nEntriesUsed, p->nMemoryUsed, p->nMemoryAlloc );
+ }
+ for ( i = 0; i < p->nChunks; i++ )
+ free( p->pChunks[i] );
+ free( p->pChunks );
+ free( p );
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+char * Mem_FlexEntryFetch( Mem_Flex_t * p, int nBytes )
+{
+ char * pTemp;
+ // check if there are still free entries
+ if ( p->pCurrent == NULL || p->pCurrent + nBytes > p->pEnd )
+ { // need to allocate more entries
+ if ( p->nChunks == p->nChunksAlloc )
+ {
+ p->nChunksAlloc *= 2;
+ p->pChunks = REALLOC( char *, p->pChunks, p->nChunksAlloc );
+ }
+ if ( nBytes > p->nChunkSize )
+ {
+ // resize the chunk size if more memory is requested than it can give
+ // (ideally, this should never happen)
+ p->nChunkSize = 2 * nBytes;
+ }
+ p->pCurrent = ALLOC( char, p->nChunkSize );
+ p->pEnd = p->pCurrent + p->nChunkSize;
+ p->nMemoryAlloc += p->nChunkSize;
+ // add the chunk to the chunk storage
+ p->pChunks[ p->nChunks++ ] = p->pCurrent;
+ }
+ assert( p->pCurrent + nBytes <= p->pEnd );
+ // increment the counter of used entries
+ p->nEntriesUsed++;
+ // keep track of the memory used
+ p->nMemoryUsed += nBytes;
+ // return the next entry
+ pTemp = p->pCurrent;
+ p->pCurrent += nBytes;
+ return pTemp;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description [Relocates all the memory except the first chunk.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Mem_FlexRestart( Mem_Flex_t * p )
+{
+ int i;
+ if ( p->nChunks == 0 )
+ return;
+ // deallocate all chunks except the first one
+ for ( i = 1; i < p->nChunks; i++ )
+ free( p->pChunks[i] );
+ p->nChunks = 1;
+ p->nMemoryAlloc = p->nChunkSize;
+ // transform these entries into a linked list
+ p->pCurrent = p->pChunks[0];
+ p->pEnd = p->pCurrent + p->nChunkSize;
+ p->nEntriesUsed = 0;
+ p->nMemoryUsed = 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Mem_FlexReadMemUsage( Mem_Flex_t * p )
+{
+ return p->nMemoryUsed;
+}
+
+
+
+
+
+/**Function*************************************************************
+
+ Synopsis [Starts the hierarchical memory manager.]
+
+ Description [This manager can allocate entries of any size.
+ Iternally they are mapped into the entries with the number of bytes
+ equal to the power of 2. The smallest entry size is 8 bytes. The
+ next one is 16 bytes etc. So, if the user requests 6 bytes, he gets
+ 8 byte entry. If we asks for 25 bytes, he gets 32 byte entry etc.
+ The input parameters "nSteps" says how many fixed memory managers
+ are employed internally. Calling this procedure with nSteps equal
+ to 10 results in 10 hierarchically arranged internal memory managers,
+ which can allocate up to 4096 (1Kb) entries. Requests for larger
+ entries are handed over to malloc() and then free()ed.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Mem_Step_t * Mem_StepStart( int nSteps )
+{
+ Mem_Step_t * p;
+ int i, k;
+ p = ALLOC( Mem_Step_t, 1 );
+ memset( p, 0, sizeof(Mem_Step_t) );
+ p->nMems = nSteps;
+ // start the fixed memory managers
+ p->pMems = ALLOC( Mem_Fixed_t *, p->nMems );
+ for ( i = 0; i < p->nMems; i++ )
+ p->pMems[i] = Mem_FixedStart( (8<<i) );
+ // set up the mapping of the required memory size into the corresponding manager
+ p->nMapSize = (4<<p->nMems);
+ p->pMap = ALLOC( Mem_Fixed_t *, p->nMapSize+1 );
+ p->pMap[0] = NULL;
+ for ( k = 1; k <= 4; k++ )
+ p->pMap[k] = p->pMems[0];
+ for ( i = 0; i < p->nMems; i++ )
+ for ( k = (4<<i)+1; k <= (8<<i); k++ )
+ p->pMap[k] = p->pMems[i];
+//for ( i = 1; i < 100; i ++ )
+//printf( "%10d: size = %10d\n", i, p->pMap[i]->nEntrySize );
+ return p;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Stops the memory manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Mem_StepStop( Mem_Step_t * p, int fVerbose )
+{
+ int i;
+ for ( i = 0; i < p->nMems; i++ )
+ Mem_FixedStop( p->pMems[i], fVerbose );
+// if ( p->pLargeChunks )
+// {
+// for ( i = 0; i < p->nLargeChunks; i++ )
+// free( p->pLargeChunks[i] );
+// free( p->pLargeChunks );
+// }
+ free( p->pMems );
+ free( p->pMap );
+ free( p );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates the entry.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+char * Mem_StepEntryFetch( Mem_Step_t * p, int nBytes )
+{
+ if ( nBytes == 0 )
+ return NULL;
+ if ( nBytes > p->nMapSize )
+ {
+// printf( "Allocating %d bytes.\n", nBytes );
+/*
+ if ( p->nLargeChunks == p->nLargeChunksAlloc )
+ {
+ if ( p->nLargeChunksAlloc == 0 )
+ p->nLargeChunksAlloc = 5;
+ p->nLargeChunksAlloc *= 2;
+ p->pLargeChunks = REALLOC( char *, p->pLargeChunks, p->nLargeChunksAlloc );
+ }
+ p->pLargeChunks[ p->nLargeChunks++ ] = ALLOC( char, nBytes );
+ return p->pLargeChunks[ p->nLargeChunks - 1 ];
+*/
+ return ALLOC( char, nBytes );
+ }
+ return Mem_FixedEntryFetch( p->pMap[nBytes] );
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Recycles the entry.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Mem_StepEntryRecycle( Mem_Step_t * p, char * pEntry, int nBytes )
+{
+ if ( nBytes == 0 )
+ return;
+ if ( nBytes > p->nMapSize )
+ {
+ free( pEntry );
+ return;
+ }
+ Mem_FixedEntryRecycle( p->pMap[nBytes], pEntry );
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Mem_StepReadMemUsage( Mem_Step_t * p )
+{
+ int i, nMemTotal = 0;
+ for ( i = 0; i < p->nMems; i++ )
+ nMemTotal += p->pMems[i]->nMemoryAlloc;
+ return nMemTotal;
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
diff --git a/src/aig/mem/mem.h b/src/aig/mem/mem.h
new file mode 100644
index 00000000..d43e5fc3
--- /dev/null
+++ b/src/aig/mem/mem.h
@@ -0,0 +1,72 @@
+/**CFile****************************************************************
+
+ FileName [mem.h]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [Memory management.]
+
+ Synopsis [External declarations.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - June 20, 2005.]
+
+ Revision [$Id: mem.h,v 1.00 2005/06/20 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#ifndef __MEM_H__
+#define __MEM_H__
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+typedef struct Mem_Fixed_t_ Mem_Fixed_t;
+typedef struct Mem_Flex_t_ Mem_Flex_t;
+typedef struct Mem_Step_t_ Mem_Step_t;
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/*=== mem.c ===========================================================*/
+// fixed-size-block memory manager
+extern Mem_Fixed_t * Mem_FixedStart( int nEntrySize );
+extern void Mem_FixedStop( Mem_Fixed_t * p, int fVerbose );
+extern char * Mem_FixedEntryFetch( Mem_Fixed_t * p );
+extern void Mem_FixedEntryRecycle( Mem_Fixed_t * p, char * pEntry );
+extern void Mem_FixedRestart( Mem_Fixed_t * p );
+extern int Mem_FixedReadMemUsage( Mem_Fixed_t * p );
+extern int Mem_FixedReadMaxEntriesUsed( Mem_Fixed_t * p );
+// flexible-size-block memory manager
+extern Mem_Flex_t * Mem_FlexStart();
+extern void Mem_FlexStop( Mem_Flex_t * p, int fVerbose );
+extern char * Mem_FlexEntryFetch( Mem_Flex_t * p, int nBytes );
+extern void Mem_FlexRestart( Mem_Flex_t * p );
+extern int Mem_FlexReadMemUsage( Mem_Flex_t * p );
+// hierarchical memory manager
+extern Mem_Step_t * Mem_StepStart( int nSteps );
+extern void Mem_StepStop( Mem_Step_t * p, int fVerbose );
+extern char * Mem_StepEntryFetch( Mem_Step_t * p, int nBytes );
+extern void Mem_StepEntryRecycle( Mem_Step_t * p, char * pEntry, int nBytes );
+extern int Mem_StepReadMemUsage( Mem_Step_t * p );
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/mem/module.make b/src/aig/mem/module.make
new file mode 100644
index 00000000..ae6fcbe4
--- /dev/null
+++ b/src/aig/mem/module.make
@@ -0,0 +1 @@
+SRC += src/aig/mem/mem.c
diff --git a/src/aig/rwt/module.make b/src/aig/rwt/module.make
new file mode 100644
index 00000000..439d576f
--- /dev/null
+++ b/src/aig/rwt/module.make
@@ -0,0 +1,3 @@
+SRC += src/aig/rwt/rwtDec.c \
+ src/aig/rwt/rwtMan.c \
+ src/aig/rwt/rwtUtil.c
diff --git a/src/aig/rwt/rwt.h b/src/aig/rwt/rwt.h
new file mode 100644
index 00000000..9199ff2a
--- /dev/null
+++ b/src/aig/rwt/rwt.h
@@ -0,0 +1,156 @@
+/**CFile****************************************************************
+
+ FileName [rwt.h]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [DAG-aware AIG rewriting package.]
+
+ Synopsis [External declarations.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - June 20, 2005.]
+
+ Revision [$Id: rwt.h,v 1.00 2005/06/20 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#ifndef __RWT_H__
+#define __RWT_H__
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+////////////////////////////////////////////////////////////////////////
+/// INCLUDES ///
+////////////////////////////////////////////////////////////////////////
+
+#include "mem.h"
+#include "extra.h"
+#include "vec.h"
+
+////////////////////////////////////////////////////////////////////////
+/// PARAMETERS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// BASIC TYPES ///
+////////////////////////////////////////////////////////////////////////
+
+#define RWT_LIMIT 1048576/4 // ((1 << 20)
+#define RWT_MIN(a,b) (((a) < (b))? (a) : (b))
+#define RWT_MAX(a,b) (((a) > (b))? (a) : (b))
+
+typedef struct Rwt_Man_t_ Rwt_Man_t;
+typedef struct Rwt_Node_t_ Rwt_Node_t;
+
+struct Rwt_Man_t_
+{
+ // internal lookups
+ int nFuncs; // number of four var functions
+ unsigned short * puCanons; // canonical forms
+ char * pPhases; // canonical phases
+ char * pPerms; // canonical permutations
+ unsigned char * pMap; // mapping of functions into class numbers
+ unsigned short * pMapInv; // mapping of classes into functions
+ char * pPractical; // practical NPN classes
+ char ** pPerms4; // four-var permutations
+ // node space
+ Vec_Ptr_t * vForest; // all the nodes
+ Rwt_Node_t ** pTable; // the hash table of nodes by their canonical form
+ Vec_Vec_t * vClasses; // the nodes of the equivalence classes
+ Mem_Fixed_t * pMmNode; // memory for nodes and cuts
+ // statistical variables
+ int nTravIds; // the counter of traversal IDs
+ int nConsidered; // the number of nodes considered
+ int nAdded; // the number of nodes added to lists
+ int nClasses; // the number of NN classes
+ // the result of resynthesis
+ int fCompl; // indicates if the output of FF should be complemented
+ void * pCut; // the decomposition tree (temporary)
+ void * pGraph; // the decomposition tree (temporary)
+ char * pPerm; // permutation used for the best cut
+ Vec_Ptr_t * vFanins; // the fanins array (temporary)
+ Vec_Ptr_t * vFaninsCur; // the fanins array (temporary)
+ Vec_Int_t * vLevNums; // the array of levels (temporary)
+ Vec_Ptr_t * vNodesTemp; // the nodes in MFFC (temporary)
+ // node statistics
+ int nNodesConsidered;
+ int nNodesRewritten;
+ int nNodesGained;
+ int nScores[222];
+ int nCutsGood;
+ int nCutsBad;
+ int nSubgraphs;
+ // runtime statistics
+ int timeStart;
+ int timeTruth;
+ int timeCut;
+ int timeRes;
+ int timeEval;
+ int timeMffc;
+ int timeUpdate;
+ int timeTotal;
+};
+
+struct Rwt_Node_t_ // 24 bytes
+{
+ int Id; // ID
+ int TravId; // traversal ID
+ unsigned uTruth : 16; // truth table
+ unsigned Volume : 8; // volume
+ unsigned Level : 6; // level
+ unsigned fUsed : 1; // mark
+ unsigned fExor : 1; // mark
+ Rwt_Node_t * p0; // first child
+ Rwt_Node_t * p1; // second child
+ Rwt_Node_t * pNext; // next in the table
+};
+
+// manipulation of complemented attributes
+static inline int Rwt_IsComplement( Rwt_Node_t * p ) { return (int)(((unsigned long)p) & 01); }
+static inline Rwt_Node_t * Rwt_Regular( Rwt_Node_t * p ) { return (Rwt_Node_t *)((unsigned long)(p) & ~01); }
+static inline Rwt_Node_t * Rwt_Not( Rwt_Node_t * p ) { return (Rwt_Node_t *)((unsigned long)(p) ^ 01); }
+static inline Rwt_Node_t * Rwt_NotCond( Rwt_Node_t * p, int c ) { return (Rwt_Node_t *)((unsigned long)(p) ^ (c)); }
+
+////////////////////////////////////////////////////////////////////////
+/// MACRO DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/*=== rwrDec.c ========================================================*/
+extern void Rwt_ManPreprocess( Rwt_Man_t * p );
+/*=== rwrMan.c ========================================================*/
+extern Rwt_Man_t * Rwt_ManStart( int fPrecompute );
+extern void Rwt_ManStop( Rwt_Man_t * p );
+extern void Rwt_ManPrintStats( Rwt_Man_t * p );
+extern void Rwt_ManPrintStatsFile( Rwt_Man_t * p );
+extern void * Rwt_ManReadDecs( Rwt_Man_t * p );
+extern Vec_Ptr_t * Rwt_ManReadLeaves( Rwt_Man_t * p );
+extern int Rwt_ManReadCompl( Rwt_Man_t * p );
+extern void Rwt_ManAddTimeCuts( Rwt_Man_t * p, int Time );
+extern void Rwt_ManAddTimeUpdate( Rwt_Man_t * p, int Time );
+extern void Rwt_ManAddTimeTotal( Rwt_Man_t * p, int Time );
+/*=== rwrUtil.c ========================================================*/
+extern void Rwt_ManLoadFromArray( Rwt_Man_t * p, int fVerbose );
+extern char * Rwt_ManGetPractical( Rwt_Man_t * p );
+extern Rwt_Node_t * Rwt_ManAddVar( Rwt_Man_t * p, unsigned uTruth, int fPrecompute );
+extern void Rwt_ManIncTravId( Rwt_Man_t * p );
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
diff --git a/src/aig/rwt/rwtDec.c b/src/aig/rwt/rwtDec.c
new file mode 100644
index 00000000..98019629
--- /dev/null
+++ b/src/aig/rwt/rwtDec.c
@@ -0,0 +1,150 @@
+/**CFile****************************************************************
+
+ FileName [rwtDec.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [DAG-aware AIG rewriting package.]
+
+ Synopsis [Evaluation and decomposition procedures.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - June 20, 2005.]
+
+ Revision [$Id: rwtDec.c,v 1.00 2005/06/20 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "rwt.h"
+#include "deco.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+static Dec_Graph_t * Rwt_NodePreprocess( Rwt_Man_t * p, Rwt_Node_t * pNode );
+static Dec_Edge_t Rwt_TravCollect_rec( Rwt_Man_t * p, Rwt_Node_t * pNode, Dec_Graph_t * pGraph );
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Preprocesses computed library of subgraphs.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Rwt_ManPreprocess( Rwt_Man_t * p )
+{
+ Dec_Graph_t * pGraph;
+ Rwt_Node_t * pNode;
+ int i, k;
+ // put the nodes into the structure
+ p->pMapInv = ALLOC( unsigned short, 222 );
+ memset( p->pMapInv, 0, sizeof(unsigned short) * 222 );
+ p->vClasses = Vec_VecStart( 222 );
+ for ( i = 0; i < p->nFuncs; i++ )
+ {
+ if ( p->pTable[i] == NULL )
+ continue;
+ // consider all implementations of this function
+ for ( pNode = p->pTable[i]; pNode; pNode = pNode->pNext )
+ {
+ assert( pNode->uTruth == p->pTable[i]->uTruth );
+ assert( p->pMap[pNode->uTruth] >= 0 && p->pMap[pNode->uTruth] < 222 );
+ Vec_VecPush( p->vClasses, p->pMap[pNode->uTruth], pNode );
+ p->pMapInv[ p->pMap[pNode->uTruth] ] = p->puCanons[pNode->uTruth];
+ }
+ }
+ // compute decomposition forms for each node and verify them
+ Vec_VecForEachEntry( p->vClasses, pNode, i, k )
+ {
+ pGraph = Rwt_NodePreprocess( p, pNode );
+ pNode->pNext = (Rwt_Node_t *)pGraph;
+// assert( pNode->uTruth == (Dec_GraphDeriveTruth(pGraph) & 0xFFFF) );
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Preprocesses subgraphs rooted at this node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Dec_Graph_t * Rwt_NodePreprocess( Rwt_Man_t * p, Rwt_Node_t * pNode )
+{
+ Dec_Graph_t * pGraph;
+ Dec_Edge_t eRoot;
+ assert( !Rwt_IsComplement(pNode) );
+ // consider constant
+ if ( pNode->uTruth == 0 )
+ return Dec_GraphCreateConst0();
+ // consider the case of elementary var
+ if ( pNode->uTruth == 0x00FF )
+ return Dec_GraphCreateLeaf( 3, 4, 1 );
+ // start the subgraphs
+ pGraph = Dec_GraphCreate( 4 );
+ // collect the nodes
+ Rwt_ManIncTravId( p );
+ eRoot = Rwt_TravCollect_rec( p, pNode, pGraph );
+ Dec_GraphSetRoot( pGraph, eRoot );
+ return pGraph;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Adds one node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Dec_Edge_t Rwt_TravCollect_rec( Rwt_Man_t * p, Rwt_Node_t * pNode, Dec_Graph_t * pGraph )
+{
+ Dec_Edge_t eNode0, eNode1, eNode;
+ // elementary variable
+ if ( pNode->fUsed )
+ return Dec_EdgeCreate( pNode->Id - 1, 0 );
+ // previously visited node
+ if ( pNode->TravId == p->nTravIds )
+ return Dec_IntToEdge( pNode->Volume );
+ pNode->TravId = p->nTravIds;
+ // solve for children
+ eNode0 = Rwt_TravCollect_rec( p, Rwt_Regular(pNode->p0), pGraph );
+ if ( Rwt_IsComplement(pNode->p0) )
+ eNode0.fCompl = !eNode0.fCompl;
+ eNode1 = Rwt_TravCollect_rec( p, Rwt_Regular(pNode->p1), pGraph );
+ if ( Rwt_IsComplement(pNode->p1) )
+ eNode1.fCompl = !eNode1.fCompl;
+ // create the decomposition node(s)
+ if ( pNode->fExor )
+ eNode = Dec_GraphAddNodeXor( pGraph, eNode0, eNode1, 0 );
+ else
+ eNode = Dec_GraphAddNodeAnd( pGraph, eNode0, eNode1 );
+ // save the result
+ pNode->Volume = Dec_EdgeToInt( eNode );
+ return eNode;
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/rwt/rwtMan.c b/src/aig/rwt/rwtMan.c
new file mode 100644
index 00000000..869043a4
--- /dev/null
+++ b/src/aig/rwt/rwtMan.c
@@ -0,0 +1,358 @@
+/**CFile****************************************************************
+
+ FileName [rwtMan.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [DAG-aware AIG rewriting package.]
+
+ Synopsis [Rewriting manager.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - June 20, 2005.]
+
+ Revision [$Id: rwtMan.c,v 1.00 2005/06/20 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "rwt.h"
+#include "deco.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+static unsigned short * s_puCanons = NULL;
+static char * s_pPhases = NULL;
+static char * s_pPerms = NULL;
+static unsigned char * s_pMap = NULL;
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Starts residual rewriting manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Rwt_ManGlobalStart()
+{
+ if ( s_puCanons == NULL )
+ Extra_Truth4VarNPN( &s_puCanons, &s_pPhases, &s_pPerms, &s_pMap );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Starts residual rewriting manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Rwt_ManGlobalStop()
+{
+ FREE( s_puCanons );
+ FREE( s_pPhases );
+ FREE( s_pPerms );
+ FREE( s_pMap );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Starts rewriting manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Rwt_Man_t * Rwt_ManStart( int fPrecompute )
+{
+ Rwt_Man_t * p;
+ int clk = clock();
+clk = clock();
+ p = ALLOC( Rwt_Man_t, 1 );
+ memset( p, 0, sizeof(Rwt_Man_t) );
+ p->nFuncs = (1<<16);
+ // copy the global tables
+ Rwt_ManGlobalStart();
+ p->puCanons = s_puCanons;
+ p->pPhases = s_pPhases;
+ p->pPerms = s_pPerms;
+ p->pMap = s_pMap;
+ // initialize practical NPN classes
+ p->pPractical = Rwt_ManGetPractical( p );
+ // create the table
+ p->pTable = ALLOC( Rwt_Node_t *, p->nFuncs );
+ memset( p->pTable, 0, sizeof(Rwt_Node_t *) * p->nFuncs );
+ // create the elementary nodes
+ p->pMmNode = Mem_FixedStart( sizeof(Rwt_Node_t) );
+ p->vForest = Vec_PtrAlloc( 100 );
+ Rwt_ManAddVar( p, 0x0000, fPrecompute ); // constant 0
+ Rwt_ManAddVar( p, 0xAAAA, fPrecompute ); // var A
+ Rwt_ManAddVar( p, 0xCCCC, fPrecompute ); // var B
+ Rwt_ManAddVar( p, 0xF0F0, fPrecompute ); // var C
+ Rwt_ManAddVar( p, 0xFF00, fPrecompute ); // var D
+ p->nClasses = 5;
+ // other stuff
+ p->nTravIds = 1;
+ p->pPerms4 = Extra_Permutations( 4 );
+ p->vLevNums = Vec_IntAlloc( 50 );
+ p->vFanins = Vec_PtrAlloc( 50 );
+ p->vFaninsCur = Vec_PtrAlloc( 50 );
+ p->vNodesTemp = Vec_PtrAlloc( 50 );
+ if ( fPrecompute )
+ { // precompute subgraphs
+// Rwt_ManPrecompute( p );
+// Rwt_ManPrint( p );
+// Rwt_ManWriteToArray( p );
+ }
+ else
+ { // load saved subgraphs
+ Rwt_ManLoadFromArray( p, 0 );
+// Rwt_ManPrint( p );
+ Rwt_ManPreprocess( p );
+ }
+p->timeStart = clock() - clk;
+ return p;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Stops rewriting manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Rwt_ManStop( Rwt_Man_t * p )
+{
+ if ( p->vClasses )
+ {
+ Rwt_Node_t * pNode;
+ int i, k;
+ Vec_VecForEachEntry( p->vClasses, pNode, i, k )
+ Dec_GraphFree( (Dec_Graph_t *)pNode->pNext );
+ }
+ if ( p->vClasses ) Vec_VecFree( p->vClasses );
+ Vec_PtrFree( p->vNodesTemp );
+ Vec_PtrFree( p->vForest );
+ Vec_IntFree( p->vLevNums );
+ Vec_PtrFree( p->vFanins );
+ Vec_PtrFree( p->vFaninsCur );
+ Mem_FixedStop( p->pMmNode, 0 );
+ FREE( p->pMapInv );
+ free( p->pTable );
+ free( p->pPractical );
+ free( p->pPerms4 );
+ free( p );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Stops the resynthesis manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Rwt_ManPrintStats( Rwt_Man_t * p )
+{
+ int i, Counter = 0;
+ for ( i = 0; i < 222; i++ )
+ Counter += (p->nScores[i] > 0);
+
+ printf( "Rewriting statistics:\n" );
+ printf( "Total cuts tries = %8d.\n", p->nCutsGood );
+ printf( "Bad cuts found = %8d.\n", p->nCutsBad );
+ printf( "Total subgraphs = %8d.\n", p->nSubgraphs );
+ printf( "Used NPN classes = %8d.\n", Counter );
+ printf( "Nodes considered = %8d.\n", p->nNodesConsidered );
+ printf( "Nodes rewritten = %8d.\n", p->nNodesRewritten );
+ printf( "Calculated gain = %8d.\n", p->nNodesGained );
+ PRT( "Start ", p->timeStart );
+ PRT( "Cuts ", p->timeCut );
+ PRT( "Truth ", p->timeTruth );
+ PRT( "Resynthesis ", p->timeRes );
+ PRT( " Mffc ", p->timeMffc );
+ PRT( " Eval ", p->timeEval );
+ PRT( "Update ", p->timeUpdate );
+ PRT( "TOTAL ", p->timeTotal );
+
+/*
+ printf( "The scores are:\n" );
+ for ( i = 0; i < 222; i++ )
+ if ( p->nScores[i] > 0 )
+ {
+ extern void Ivy_TruthDsdComputePrint( unsigned uTruth );
+ printf( "%3d = %8d canon = %5d ", i, p->nScores[i], p->pMapInv[i] );
+ Ivy_TruthDsdComputePrint( (unsigned)p->pMapInv[i] | ((unsigned)p->pMapInv[i] << 16) );
+ }
+ printf( "\n" );
+*/
+}
+
+/**Function*************************************************************
+
+ Synopsis [Stops the resynthesis manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Rwt_ManPrintStatsFile( Rwt_Man_t * p )
+{
+ FILE * pTable;
+ pTable = fopen( "stats.txt", "a+" );
+ fprintf( pTable, "%d ", p->nCutsGood );
+ fprintf( pTable, "%d ", p->nSubgraphs );
+ fprintf( pTable, "%d ", p->nNodesRewritten );
+ fprintf( pTable, "%d", p->nNodesGained );
+ fprintf( pTable, "\n" );
+ fclose( pTable );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Stops the resynthesis manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void * Rwt_ManReadDecs( Rwt_Man_t * p )
+{
+ return p->pGraph;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Stops the resynthesis manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Vec_Ptr_t * Rwt_ManReadLeaves( Rwt_Man_t * p )
+{
+ return p->vFanins;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Stops the resynthesis manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Rwt_ManReadCompl( Rwt_Man_t * p )
+{
+ return p->fCompl;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Stops the resynthesis manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Rwt_ManAddTimeCuts( Rwt_Man_t * p, int Time )
+{
+ p->timeCut += Time;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Stops the resynthesis manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Rwt_ManAddTimeUpdate( Rwt_Man_t * p, int Time )
+{
+ p->timeUpdate += Time;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Stops the resynthesis manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Rwt_ManAddTimeTotal( Rwt_Man_t * p, int Time )
+{
+ p->timeTotal += Time;
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Precomputes AIG subgraphs.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Rwt_Precompute()
+{
+ Rwt_Man_t * p;
+ p = Rwt_ManStart( 1 );
+ Rwt_ManStop( p );
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
diff --git a/src/aig/rwt/rwtUtil.c b/src/aig/rwt/rwtUtil.c
new file mode 100644
index 00000000..af3e1893
--- /dev/null
+++ b/src/aig/rwt/rwtUtil.c
@@ -0,0 +1,665 @@
+/**CFile****************************************************************
+
+ FileName [rwtUtil.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [DAG-aware AIG rewriting package.]
+
+ Synopsis [Various utilities.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - June 20, 2005.]
+
+ Revision [$Id: rwtUtil.c,v 1.00 2005/06/20 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "rwt.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+// precomputed data
+#ifdef _WIN32
+unsigned short s_RwtPracticalClasses[];
+unsigned short s_RwtAigSubgraphs[];
+#else
+static unsigned short s_RwtPracticalClasses[];
+static unsigned short s_RwtAigSubgraphs[];
+#endif
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Adds the node to the end of the list.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Rwt_ListAddToTail( Rwt_Node_t ** ppList, Rwt_Node_t * pNode )
+{
+ Rwt_Node_t * pTemp;
+ // find the last one
+ for ( pTemp = *ppList; pTemp; pTemp = pTemp->pNext )
+ ppList = &pTemp->pNext;
+ // attach at the end
+ *ppList = pNode;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Adds one node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Rwt_Node_t * Rwt_ManAddVar( Rwt_Man_t * p, unsigned uTruth, int fPrecompute )
+{
+ Rwt_Node_t * pNew;
+ pNew = (Rwt_Node_t *)Mem_FixedEntryFetch( p->pMmNode );
+ pNew->Id = p->vForest->nSize;
+ pNew->TravId = 0;
+ pNew->uTruth = uTruth;
+ pNew->Level = 0;
+ pNew->Volume = 0;
+ pNew->fUsed = 1;
+ pNew->fExor = 0;
+ pNew->p0 = NULL;
+ pNew->p1 = NULL;
+ pNew->pNext = NULL;
+ Vec_PtrPush( p->vForest, pNew );
+ if ( fPrecompute )
+ Rwt_ListAddToTail( p->pTable + uTruth, pNew );
+ return pNew;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Adds one node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Rwt_Node_t * Rwt_ManAddNode( Rwt_Man_t * p, Rwt_Node_t * p0, Rwt_Node_t * p1, int fExor, int Level, int Volume )
+{
+ Rwt_Node_t * pNew;
+ unsigned uTruth;
+ // compute truth table, leve, volume
+ p->nConsidered++;
+ if ( fExor )
+ uTruth = (p0->uTruth ^ p1->uTruth);
+ else
+ uTruth = (Rwt_IsComplement(p0)? ~Rwt_Regular(p0)->uTruth : Rwt_Regular(p0)->uTruth) &
+ (Rwt_IsComplement(p1)? ~Rwt_Regular(p1)->uTruth : Rwt_Regular(p1)->uTruth) & 0xFFFF;
+ // create the new node
+ pNew = (Rwt_Node_t *)Mem_FixedEntryFetch( p->pMmNode );
+ pNew->Id = p->vForest->nSize;
+ pNew->TravId = 0;
+ pNew->uTruth = uTruth;
+ pNew->Level = Level;
+ pNew->Volume = Volume;
+ pNew->fUsed = 0;
+ pNew->fExor = fExor;
+ pNew->p0 = p0;
+ pNew->p1 = p1;
+ pNew->pNext = NULL;
+ Vec_PtrPush( p->vForest, pNew );
+ // do not add if the node is not essential
+ if ( uTruth != p->puCanons[uTruth] )
+ return pNew;
+
+ // add to the list
+ p->nAdded++;
+ if ( p->pTable[uTruth] == NULL )
+ p->nClasses++;
+ Rwt_ListAddToTail( p->pTable + uTruth, pNew );
+ return pNew;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Adds one node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Rwt_Trav_rec( Rwt_Man_t * p, Rwt_Node_t * pNode, int * pVolume )
+{
+ if ( pNode->fUsed || pNode->TravId == p->nTravIds )
+ return;
+ pNode->TravId = p->nTravIds;
+ (*pVolume)++;
+ if ( pNode->fExor )
+ (*pVolume)++;
+ Rwt_Trav_rec( p, Rwt_Regular(pNode->p0), pVolume );
+ Rwt_Trav_rec( p, Rwt_Regular(pNode->p1), pVolume );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Adds one node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Rwt_ManIncTravId( Rwt_Man_t * p )
+{
+ Rwt_Node_t * pNode;
+ int i;
+ if ( p->nTravIds++ < 0x8FFFFFFF )
+ return;
+ Vec_PtrForEachEntry( p->vForest, pNode, i )
+ pNode->TravId = 0;
+ p->nTravIds = 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Adds one node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Rwt_ManNodeVolume( Rwt_Man_t * p, Rwt_Node_t * p0, Rwt_Node_t * p1 )
+{
+ int Volume = 0;
+ Rwt_ManIncTravId( p );
+ Rwt_Trav_rec( p, p0, &Volume );
+ Rwt_Trav_rec( p, p1, &Volume );
+ return Volume;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Loads data.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Rwt_ManLoadFromArray( Rwt_Man_t * p, int fVerbose )
+{
+ unsigned short * pArray = s_RwtAigSubgraphs;
+ Rwt_Node_t * p0, * p1;
+ unsigned Entry0, Entry1;
+ int Level, Volume, nEntries, fExor;
+ int i, clk = clock();
+
+ // reconstruct the forest
+ for ( i = 0; ; i++ )
+ {
+ Entry0 = pArray[2*i + 0];
+ Entry1 = pArray[2*i + 1];
+ if ( Entry0 == 0 && Entry1 == 0 )
+ break;
+ // get EXOR flag
+ fExor = (Entry0 & 1);
+ Entry0 >>= 1;
+ // get the nodes
+ p0 = p->vForest->pArray[Entry0 >> 1];
+ p1 = p->vForest->pArray[Entry1 >> 1];
+ // compute the level and volume of the new nodes
+ Level = 1 + RWT_MAX( p0->Level, p1->Level );
+ Volume = 1 + Rwt_ManNodeVolume( p, p0, p1 );
+ // set the complemented attributes
+ p0 = Rwt_NotCond( p0, (Entry0 & 1) );
+ p1 = Rwt_NotCond( p1, (Entry1 & 1) );
+ // add the node
+// Rwt_ManTryNode( p, p0, p1, Level, Volume );
+ Rwt_ManAddNode( p, p0, p1, fExor, Level, Volume + fExor );
+ }
+ nEntries = i - 1;
+ if ( fVerbose )
+ {
+ printf( "The number of classes = %d. Canonical nodes = %d.\n", p->nClasses, p->nAdded );
+ printf( "The number of nodes loaded = %d. ", nEntries ); PRT( "Loading", clock() - clk );
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Create practical classes.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+char * Rwt_ManGetPractical( Rwt_Man_t * p )
+{
+ char * pPractical;
+ int i;
+ pPractical = ALLOC( char, p->nFuncs );
+ memset( pPractical, 0, sizeof(char) * p->nFuncs );
+ pPractical[0] = 1;
+ for ( i = 1; ; i++ )
+ {
+ if ( s_RwtPracticalClasses[i] == 0 )
+ break;
+ pPractical[ s_RwtPracticalClasses[i] ] = 1;
+ }
+ return pPractical;
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+// the following 135 practical NPN classes of 4-variable functions were computed
+// by considering all 4-input cuts appearing in IWLS, MCNC, and ISCAS benchmarks
+static unsigned short s_RwtPracticalClasses[] =
+{
+ 0x0000, 0x0001, 0x0003, 0x0006, 0x0007, 0x000f, 0x0016, 0x0017, 0x0018, 0x0019, 0x001b,
+ 0x001e, 0x001f, 0x003c, 0x003d, 0x003f, 0x0069, 0x006b, 0x006f, 0x007e, 0x007f, 0x00ff,
+ 0x0116, 0x0118, 0x0119, 0x011a, 0x011b, 0x011e, 0x011f, 0x012c, 0x012d, 0x012f, 0x013c,
+ 0x013d, 0x013e, 0x013f, 0x0168, 0x0169, 0x016f, 0x017f, 0x0180, 0x0181, 0x0182, 0x0183,
+ 0x0186, 0x0189, 0x018b, 0x018f, 0x0198, 0x0199, 0x019b, 0x01a8, 0x01a9, 0x01aa, 0x01ab,
+ 0x01ac, 0x01ad, 0x01ae, 0x01af, 0x01bf, 0x01e9, 0x01ea, 0x01eb, 0x01ee, 0x01ef, 0x01fe,
+ 0x033c, 0x033d, 0x033f, 0x0356, 0x0357, 0x0358, 0x0359, 0x035a, 0x035b, 0x035f, 0x0368,
+ 0x0369, 0x036c, 0x036e, 0x037d, 0x03c0, 0x03c1, 0x03c3, 0x03c7, 0x03cf, 0x03d4, 0x03d5,
+ 0x03d7, 0x03d8, 0x03d9, 0x03dc, 0x03dd, 0x03de, 0x03fc, 0x0660, 0x0661, 0x0666, 0x0669,
+ 0x066f, 0x0676, 0x067e, 0x0690, 0x0696, 0x0697, 0x069f, 0x06b1, 0x06b6, 0x06f0, 0x06f2,
+ 0x06f6, 0x06f9, 0x0776, 0x0778, 0x07b0, 0x07b1, 0x07b4, 0x07bc, 0x07f0, 0x07f2, 0x07f8,
+ 0x0ff0, 0x1683, 0x1696, 0x1698, 0x169e, 0x16e9, 0x178e, 0x17e8, 0x18e7, 0x19e6, 0x1be4,
+ 0x1ee1, 0x3cc3, 0x6996, 0x0000
+};
+
+static unsigned short s_RwtAigSubgraphs[] =
+{
+ 0x0008,0x0002, 0x000a,0x0002, 0x0008,0x0003, 0x000a,0x0003, 0x0009,0x0002,
+ 0x000c,0x0002, 0x000e,0x0002, 0x000c,0x0003, 0x000e,0x0003, 0x000d,0x0002,
+ 0x000c,0x0004, 0x000e,0x0004, 0x000c,0x0005, 0x000e,0x0005, 0x000d,0x0004,
+ 0x0010,0x0002, 0x0012,0x0002, 0x0010,0x0003, 0x0012,0x0003, 0x0011,0x0002,
+ 0x0010,0x0004, 0x0012,0x0004, 0x0010,0x0005, 0x0012,0x0005, 0x0011,0x0004,
+ 0x0010,0x0006, 0x0012,0x0006, 0x0010,0x0007, 0x0012,0x0007, 0x0011,0x0006,
+ 0x0016,0x0005, 0x0014,0x0006, 0x0016,0x0006, 0x0014,0x0007, 0x0016,0x0007,
+ 0x0015,0x0006, 0x0014,0x0008, 0x0016,0x0008, 0x0014,0x0009, 0x0016,0x0009,
+ 0x0015,0x0008, 0x0018,0x0006, 0x001a,0x0006, 0x0018,0x0007, 0x001a,0x0007,
+ 0x0019,0x0006, 0x0018,0x0009, 0x001a,0x0009, 0x0019,0x0008, 0x001e,0x0005,
+ 0x001c,0x0006, 0x001e,0x0006, 0x001c,0x0007, 0x001e,0x0007, 0x001d,0x0006,
+ 0x001c,0x0008, 0x001e,0x0008, 0x001c,0x0009, 0x001e,0x0009, 0x001d,0x0008,
+ 0x0020,0x0006, 0x0022,0x0006, 0x0020,0x0007, 0x0022,0x0007, 0x0021,0x0006,
+ 0x0020,0x0008, 0x0022,0x0008, 0x0020,0x0009, 0x0022,0x0009, 0x0021,0x0008,
+ 0x0024,0x0006, 0x0026,0x0006, 0x0024,0x0007, 0x0026,0x0007, 0x0025,0x0006,
+ 0x0026,0x0008, 0x0024,0x0009, 0x0026,0x0009, 0x0025,0x0008, 0x0028,0x0004,
+ 0x002a,0x0004, 0x0028,0x0005, 0x002a,0x0007, 0x0028,0x0008, 0x002a,0x0009,
+ 0x0029,0x0008, 0x002a,0x000b, 0x0029,0x000a, 0x002a,0x000f, 0x0029,0x000e,
+ 0x002a,0x0011, 0x002a,0x0013, 0x002c,0x0004, 0x002e,0x0004, 0x002c,0x0005,
+ 0x002c,0x0009, 0x002e,0x0009, 0x002d,0x0008, 0x002d,0x000c, 0x002e,0x000f,
+ 0x002e,0x0011, 0x002e,0x0012, 0x0030,0x0004, 0x0032,0x0007, 0x0032,0x0009,
+ 0x0031,0x0008, 0x0032,0x000b, 0x0032,0x000d, 0x0032,0x000f, 0x0031,0x000e,
+ 0x0032,0x0013, 0x0034,0x0004, 0x0036,0x0004, 0x0034,0x0005, 0x0036,0x0005,
+ 0x0035,0x0004, 0x0036,0x0008, 0x0034,0x0009, 0x0036,0x0009, 0x0035,0x0008,
+ 0x0036,0x000b, 0x0036,0x000d, 0x0036,0x0011, 0x0035,0x0010, 0x0036,0x0013,
+ 0x0038,0x0004, 0x0039,0x0004, 0x0038,0x0009, 0x003a,0x0009, 0x0039,0x0008,
+ 0x0038,0x000b, 0x003a,0x000b, 0x003a,0x000d, 0x003a,0x0011, 0x003a,0x0012,
+ 0x0038,0x0013, 0x003a,0x0013, 0x003c,0x0002, 0x003e,0x0002, 0x003c,0x0003,
+ 0x003e,0x0005, 0x003e,0x0007, 0x003c,0x0008, 0x003e,0x0008, 0x003c,0x0009,
+ 0x003e,0x0009, 0x003d,0x0008, 0x003e,0x000d, 0x003e,0x0011, 0x003e,0x0013,
+ 0x003e,0x0017, 0x003e,0x001b, 0x003e,0x001d, 0x0040,0x0002, 0x0042,0x0002,
+ 0x0042,0x0005, 0x0041,0x0006, 0x0042,0x0008, 0x0041,0x0008, 0x0042,0x000d,
+ 0x0042,0x0011, 0x0042,0x0015, 0x0042,0x0019, 0x0042,0x001b, 0x0042,0x001c,
+ 0x0041,0x001c, 0x0044,0x0002, 0x0046,0x0003, 0x0045,0x0004, 0x0046,0x0007,
+ 0x0045,0x0008, 0x0046,0x000b, 0x0046,0x000f, 0x0046,0x0013, 0x0045,0x0012,
+ 0x0046,0x0017, 0x0046,0x001b, 0x0046,0x0021, 0x0048,0x0002, 0x004a,0x0002,
+ 0x0048,0x0003, 0x004a,0x0003, 0x0049,0x0002, 0x0048,0x0008, 0x004a,0x0008,
+ 0x0048,0x0009, 0x004a,0x0009, 0x0049,0x0008, 0x004a,0x000b, 0x004a,0x000f,
+ 0x004a,0x0011, 0x004a,0x0012, 0x004a,0x0013, 0x004a,0x0015, 0x004a,0x0019,
+ 0x004a,0x001b, 0x004a,0x001d, 0x004c,0x0002, 0x004c,0x0003, 0x004d,0x0002,
+ 0x004c,0x0008, 0x004e,0x0008, 0x004c,0x0009, 0x004e,0x0009, 0x004d,0x0008,
+ 0x004c,0x000b, 0x004e,0x000b, 0x004c,0x000f, 0x004e,0x000f, 0x004e,0x0011,
+ 0x004c,0x0012, 0x004c,0x0013, 0x004e,0x0013, 0x004e,0x0015, 0x004c,0x0017,
+ 0x004e,0x0019, 0x004c,0x001b, 0x004e,0x001b, 0x004c,0x001c, 0x004c,0x001d,
+ 0x004e,0x001d, 0x0050,0x0004, 0x0052,0x0004, 0x0050,0x0006, 0x0052,0x0009,
+ 0x0052,0x000d, 0x0052,0x000f, 0x0052,0x0013, 0x0052,0x0017, 0x0052,0x0019,
+ 0x0052,0x001d, 0x0052,0x001f, 0x0052,0x0021, 0x0052,0x0023, 0x0052,0x0024,
+ 0x0052,0x0025, 0x0051,0x0024, 0x0052,0x0027, 0x0054,0x0004, 0x0056,0x0004,
+ 0x0054,0x0005, 0x0056,0x0006, 0x0054,0x0007, 0x0056,0x0011, 0x0056,0x001b,
+ 0x0056,0x001e, 0x0054,0x001f, 0x0056,0x001f, 0x0056,0x0020, 0x0054,0x0021,
+ 0x0055,0x0020, 0x0056,0x0024, 0x0054,0x0025, 0x0056,0x0025, 0x0055,0x0024,
+ 0x0054,0x0027, 0x0056,0x0027, 0x0055,0x0026, 0x005a,0x0007, 0x005a,0x0009,
+ 0x005a,0x000b, 0x005a,0x0015, 0x005a,0x001f, 0x0059,0x0020, 0x0058,0x0024,
+ 0x005a,0x0024, 0x005a,0x0027, 0x0059,0x0026, 0x005c,0x0004, 0x005e,0x0004,
+ 0x005c,0x0005, 0x005e,0x0006, 0x005c,0x0007, 0x005d,0x0006, 0x005e,0x000d,
+ 0x005e,0x0013, 0x005e,0x0017, 0x005c,0x001f, 0x005d,0x001e, 0x005e,0x0020,
+ 0x005e,0x0021, 0x005e,0x0022, 0x005e,0x0023, 0x005c,0x0024, 0x005e,0x0024,
+ 0x005c,0x0025, 0x005e,0x0025, 0x005d,0x0024, 0x005e,0x0026, 0x005e,0x0027,
+ 0x0062,0x0004, 0x0061,0x0004, 0x0062,0x0006, 0x0061,0x0006, 0x0060,0x000f,
+ 0x0060,0x0013, 0x0062,0x0013, 0x0060,0x0019, 0x0062,0x001c, 0x0060,0x001d,
+ 0x0062,0x001d, 0x0062,0x001f, 0x0060,0x0021, 0x0060,0x0023, 0x0062,0x0024,
+ 0x0060,0x0027, 0x0061,0x0026, 0x0064,0x0002, 0x0066,0x0002, 0x0064,0x0006,
+ 0x0066,0x0007, 0x0066,0x0009, 0x0066,0x000d, 0x0066,0x0013, 0x0066,0x0015,
+ 0x0066,0x0017, 0x0066,0x0019, 0x0066,0x001a, 0x0065,0x001a, 0x0066,0x001f,
+ 0x0066,0x0023, 0x0066,0x0027, 0x0066,0x002f, 0x0066,0x0030, 0x006a,0x0002,
+ 0x0068,0x0003, 0x0068,0x0006, 0x006a,0x0006, 0x006a,0x0011, 0x0068,0x0016,
+ 0x0068,0x0017, 0x006a,0x0017, 0x006a,0x001a, 0x006a,0x001b, 0x006a,0x0025,
+ 0x006a,0x002d, 0x006e,0x0003, 0x006e,0x0007, 0x006e,0x0009, 0x006e,0x000b,
+ 0x006e,0x0015, 0x006e,0x0016, 0x006e,0x0017, 0x006c,0x001a, 0x006e,0x001a,
+ 0x006e,0x001f, 0x006e,0x002b, 0x006e,0x0035, 0x0070,0x0002, 0x0070,0x0003,
+ 0x0072,0x0006, 0x0070,0x0007, 0x0071,0x0006, 0x0072,0x000b, 0x0072,0x000f,
+ 0x0072,0x0013, 0x0070,0x0015, 0x0071,0x0014, 0x0072,0x0017, 0x0072,0x0018,
+ 0x0070,0x0019, 0x0072,0x0019, 0x0070,0x001a, 0x0070,0x001b, 0x0072,0x001b,
+ 0x0071,0x001a, 0x0072,0x0021, 0x0072,0x0029, 0x0076,0x0002, 0x0076,0x0003,
+ 0x0075,0x0002, 0x0076,0x0006, 0x0074,0x0007, 0x0076,0x0007, 0x0075,0x0006,
+ 0x0076,0x000d, 0x0076,0x0011, 0x0076,0x0013, 0x0075,0x0014, 0x0076,0x0019,
+ 0x0076,0x001a, 0x0076,0x001b, 0x0075,0x001c, 0x0074,0x0023, 0x0075,0x0022,
+ 0x0074,0x0026, 0x0076,0x0026, 0x0074,0x0027, 0x0076,0x002b, 0x0076,0x002f,
+ 0x0078,0x0002, 0x0078,0x0004, 0x007a,0x0004, 0x007a,0x0005, 0x0079,0x0004,
+ 0x007a,0x0009, 0x007a,0x000a, 0x007a,0x000b, 0x007a,0x000d, 0x007a,0x000f,
+ 0x007a,0x0010, 0x007a,0x0011, 0x007a,0x0012, 0x007a,0x0013, 0x007a,0x0017,
+ 0x007a,0x001b, 0x007a,0x0021, 0x007a,0x0027, 0x007a,0x002b, 0x007a,0x002f,
+ 0x007a,0x0030, 0x0079,0x0034, 0x007a,0x0039, 0x007a,0x003a, 0x007e,0x0002,
+ 0x007c,0x0004, 0x007e,0x0004, 0x007e,0x000c, 0x007c,0x000d, 0x007e,0x0011,
+ 0x007e,0x0013, 0x007e,0x001b, 0x007e,0x0025, 0x007e,0x002d, 0x007e,0x0037,
+ 0x0082,0x0003, 0x0082,0x0005, 0x0082,0x0009, 0x0082,0x000b, 0x0080,0x0010,
+ 0x0082,0x0010, 0x0082,0x0012, 0x0082,0x0015, 0x0082,0x001f, 0x0082,0x002b,
+ 0x0082,0x0035, 0x0082,0x0039, 0x0082,0x003f, 0x0084,0x0002, 0x0086,0x0002,
+ 0x0084,0x0003, 0x0086,0x0003, 0x0085,0x0002, 0x0086,0x0004, 0x0084,0x0005,
+ 0x0085,0x0004, 0x0086,0x000a, 0x0084,0x000b, 0x0085,0x000a, 0x0086,0x000d,
+ 0x0086,0x000e, 0x0086,0x000f, 0x0084,0x0010, 0x0084,0x0011, 0x0086,0x0011,
+ 0x0085,0x0010, 0x0084,0x0012, 0x0084,0x0013, 0x0086,0x0013, 0x0085,0x0012,
+ 0x0086,0x0019, 0x0086,0x0023, 0x0086,0x0029, 0x0086,0x0033, 0x0086,0x0039,
+ 0x008a,0x0003, 0x0089,0x0002, 0x0088,0x0004, 0x008a,0x0004, 0x0088,0x0005,
+ 0x0089,0x0004, 0x008a,0x000b, 0x008a,0x0010, 0x0088,0x0011, 0x008a,0x0011,
+ 0x0089,0x0010, 0x0088,0x0012, 0x008a,0x0012, 0x0089,0x0012, 0x008a,0x0017,
+ 0x008a,0x001b, 0x0089,0x0020, 0x008a,0x0025, 0x0088,0x0027, 0x008a,0x002b,
+ 0x008a,0x002f, 0x008a,0x0039, 0x0088,0x003a, 0x008d,0x0044, 0x0092,0x0009,
+ 0x0092,0x0025, 0x0092,0x0029, 0x0092,0x002d, 0x0092,0x0033, 0x0092,0x0037,
+ 0x0092,0x003d, 0x0092,0x0041, 0x0095,0x0002, 0x0095,0x0004, 0x0095,0x0010,
+ 0x0095,0x0012, 0x0096,0x0021, 0x0096,0x0029, 0x0095,0x002e, 0x0096,0x0030,
+ 0x0096,0x0033, 0x0096,0x003a, 0x0096,0x0043, 0x009a,0x0008, 0x009a,0x0009,
+ 0x0099,0x0008, 0x009a,0x0011, 0x009a,0x0023, 0x009a,0x0033, 0x009a,0x003d,
+ 0x009a,0x0044, 0x009a,0x0045, 0x0099,0x0044, 0x009d,0x0002, 0x009e,0x0008,
+ 0x009c,0x0009, 0x009e,0x0009, 0x009d,0x0008, 0x009e,0x0011, 0x009d,0x0010,
+ 0x009e,0x001f, 0x009e,0x003f, 0x00a0,0x0009, 0x00a0,0x0011, 0x00a2,0x0030,
+ 0x00a2,0x0033, 0x00a6,0x0006, 0x00a6,0x0007, 0x00a6,0x0011, 0x00a6,0x0044,
+ 0x00a6,0x004b, 0x00aa,0x0007, 0x00aa,0x0015, 0x00ae,0x0006, 0x00ae,0x0011,
+ 0x00ae,0x001b, 0x00ae,0x0025, 0x00ae,0x003d, 0x00ae,0x0041, 0x00ae,0x0043,
+ 0x00ae,0x0045, 0x00b2,0x0006, 0x00b0,0x0007, 0x00b1,0x0006, 0x00b2,0x0017,
+ 0x00b1,0x0016, 0x00b0,0x0019, 0x00b2,0x0021, 0x00b2,0x003d, 0x00b5,0x004a,
+ 0x00ba,0x0009, 0x00ba,0x000f, 0x00bc,0x0009, 0x00be,0x0009, 0x00be,0x000f,
+ 0x00bd,0x000e, 0x00be,0x0017, 0x00c2,0x0009, 0x00c2,0x0019, 0x00c2,0x001f,
+ 0x00c2,0x0033, 0x00c6,0x0009, 0x00c5,0x000e, 0x00c6,0x0015, 0x00c6,0x0023,
+ 0x00c4,0x002d, 0x00c6,0x002f, 0x00c5,0x002e, 0x00c6,0x0045, 0x00ce,0x0007,
+ 0x00ce,0x0021, 0x00ce,0x0023, 0x00ce,0x0025, 0x00ce,0x0027, 0x00ce,0x0033,
+ 0x00ce,0x003d, 0x00d2,0x0006, 0x00d0,0x0015, 0x00d0,0x001b, 0x00d2,0x001b,
+ 0x00d1,0x001a, 0x00d0,0x001f, 0x00d2,0x0025, 0x00d1,0x0024, 0x00d2,0x0037,
+ 0x00d2,0x0041, 0x00d2,0x0045, 0x00d9,0x0044, 0x00e1,0x0004, 0x00e2,0x000d,
+ 0x00e2,0x0021, 0x00e0,0x003a, 0x00e6,0x003d, 0x00e6,0x0061, 0x00e6,0x0067,
+ 0x00e9,0x0004, 0x00ea,0x0008, 0x00ea,0x0009, 0x00ea,0x0039, 0x00e9,0x0038,
+ 0x00ea,0x003f, 0x00ec,0x000d, 0x00ee,0x000d, 0x00ee,0x0037, 0x00f2,0x003d,
+ 0x00f2,0x0062, 0x00f5,0x0002, 0x00fa,0x0017, 0x00fa,0x003d, 0x00fe,0x0006,
+ 0x00fd,0x0006, 0x00fc,0x0015, 0x00fe,0x001b, 0x00fc,0x0025, 0x00fe,0x0025,
+ 0x00fd,0x0024, 0x00fe,0x0041, 0x00fe,0x004d, 0x00fd,0x004e, 0x0101,0x0014,
+ 0x0106,0x004d, 0x010a,0x0009, 0x010a,0x000b, 0x0109,0x000a, 0x010a,0x004f,
+ 0x010a,0x0058, 0x010e,0x0008, 0x010c,0x0009, 0x010e,0x0009, 0x010d,0x0008,
+ 0x010e,0x000b, 0x010e,0x002b, 0x010d,0x002a, 0x010e,0x0035, 0x010e,0x003d,
+ 0x010e,0x003f, 0x010e,0x0049, 0x010e,0x0057, 0x010d,0x0056, 0x010d,0x0058,
+ 0x0111,0x0004, 0x0111,0x0006, 0x0110,0x0009, 0x0112,0x0009, 0x0111,0x0008,
+ 0x0112,0x002f, 0x0110,0x0035, 0x0110,0x0037, 0x0112,0x0039, 0x0112,0x003d,
+ 0x0112,0x003f, 0x0112,0x0045, 0x0111,0x0044, 0x0112,0x004b, 0x0112,0x0059,
+ 0x0112,0x0069, 0x0112,0x007f, 0x0116,0x0009, 0x0115,0x0008, 0x0114,0x000b,
+ 0x0116,0x000b, 0x0116,0x0058, 0x011a,0x0015, 0x011a,0x001f, 0x011a,0x002b,
+ 0x011a,0x003f, 0x011a,0x0049, 0x011a,0x0085, 0x011e,0x0007, 0x011e,0x0019,
+ 0x011e,0x001b, 0x011e,0x0023, 0x011e,0x0027, 0x011e,0x002f, 0x011e,0x0043,
+ 0x011e,0x004b, 0x011e,0x004e, 0x011e,0x004f, 0x011e,0x005f, 0x011e,0x0061,
+ 0x011e,0x0065, 0x011e,0x0083, 0x0122,0x0006, 0x0120,0x0007, 0x0122,0x0007,
+ 0x0121,0x0006, 0x0122,0x0049, 0x0121,0x004e, 0x0122,0x008f, 0x0125,0x0004,
+ 0x0124,0x0007, 0x0125,0x0006, 0x0124,0x001b, 0x0126,0x001b, 0x0126,0x0045,
+ 0x0126,0x0087, 0x0128,0x0007, 0x0129,0x0006, 0x012a,0x0019, 0x012a,0x003d,
+ 0x012a,0x0051, 0x012a,0x0065, 0x012a,0x0083, 0x012d,0x005a, 0x0132,0x0009,
+ 0x0132,0x008f, 0x0134,0x0009, 0x0135,0x003e, 0x013a,0x003d, 0x013a,0x0044,
+ 0x0139,0x0044, 0x013e,0x0009, 0x013d,0x0008, 0x013c,0x003d, 0x013c,0x0044,
+ 0x013c,0x0053, 0x013e,0x008f, 0x013e,0x0095, 0x0142,0x0044, 0x0142,0x0097,
+ 0x0142,0x009e, 0x0144,0x0007, 0x0148,0x0015, 0x0148,0x001c, 0x0148,0x001f,
+ 0x0148,0x0026, 0x0149,0x0086, 0x014d,0x0006, 0x014e,0x0044, 0x014d,0x0048,
+ 0x014e,0x009e, 0x0152,0x0009, 0x0151,0x00a6, 0x0155,0x0030, 0x015d,0x003a,
+ 0x0162,0x009e, 0x0164,0x000f, 0x0164,0x0013, 0x0169,0x000e, 0x0174,0x0009,
+ 0x0179,0x0008, 0x0180,0x0009, 0x0181,0x0044, 0x0186,0x0044, 0x0185,0x0044,
+ 0x018a,0x0068, 0x0195,0x004e, 0x01a6,0x0009, 0x01a5,0x0008, 0x01b1,0x003a,
+ 0x01c4,0x0029, 0x01c4,0x0030, 0x01ca,0x008f, 0x01ca,0x0095, 0x01cc,0x0029,
+ 0x01cc,0x0033, 0x01ce,0x003d, 0x01d6,0x00b2, 0x01d8,0x0009, 0x01d9,0x002a,
+ 0x01d9,0x0056, 0x01d9,0x00a4, 0x01dd,0x003a, 0x01e2,0x00b2, 0x01e6,0x0013,
+ 0x01e6,0x009f, 0x01e6,0x00ba, 0x01e6,0x00c0, 0x01e6,0x00d3, 0x01e6,0x00d5,
+ 0x01e6,0x00e5, 0x01e8,0x0005, 0x01f2,0x0013, 0x01f2,0x0095, 0x01f2,0x009f,
+ 0x01f2,0x00ba, 0x01f2,0x00c0, 0x01f2,0x00d3, 0x0202,0x008f, 0x0202,0x0095,
+ 0x0202,0x00f3, 0x0202,0x00f9, 0x020a,0x0044, 0x0209,0x00b4, 0x020e,0x0009,
+ 0x020d,0x0008, 0x020c,0x003d, 0x020c,0x0044, 0x020c,0x0053, 0x020e,0x008f,
+ 0x020e,0x0095, 0x020c,0x00b1, 0x020e,0x00f3, 0x020e,0x00f9, 0x0210,0x0013,
+ 0x0211,0x0024, 0x0210,0x0026, 0x0219,0x0004, 0x021e,0x008f, 0x021e,0x0095,
+ 0x0221,0x003a, 0x0230,0x0009, 0x0236,0x0009, 0x0234,0x0029, 0x0234,0x0030,
+ 0x0234,0x0033, 0x0234,0x003a, 0x0234,0x003d, 0x0234,0x0044, 0x0235,0x00a6,
+ 0x023a,0x0009, 0x023d,0x003a, 0x0245,0x0044, 0x0249,0x003a, 0x024e,0x009e,
+ 0x024e,0x0106, 0x0251,0x0026, 0x0258,0x0013, 0x0259,0x0024, 0x0258,0x0061,
+ 0x0259,0x0086, 0x0258,0x00c7, 0x0258,0x00df, 0x0259,0x00ec, 0x0258,0x00fc,
+ 0x025d,0x0024, 0x025d,0x00de, 0x0260,0x00f6, 0x0268,0x0009, 0x0269,0x0044,
+ 0x0268,0x00f3, 0x0268,0x00f9, 0x026d,0x003a, 0x0270,0x0068, 0x0275,0x003a,
+ 0x027a,0x0044, 0x0279,0x0044, 0x027e,0x007e, 0x0281,0x0044, 0x0285,0x0008,
+ 0x028d,0x0006, 0x028d,0x00d2, 0x0295,0x00cc, 0x0296,0x00f6, 0x0295,0x00f8,
+ 0x0299,0x0030, 0x029e,0x007e, 0x029d,0x0080, 0x02a6,0x008f, 0x02a6,0x0095,
+ 0x02aa,0x0029, 0x02aa,0x0030, 0x02b5,0x0008, 0x02b9,0x003a, 0x02bd,0x0004,
+ 0x02bd,0x00fc, 0x02c2,0x00b2, 0x02c1,0x00b4, 0x02c4,0x0029, 0x02c8,0x0029,
+ 0x02c8,0x0033, 0x02ca,0x003d, 0x02ce,0x0029, 0x02ce,0x0030, 0x02d2,0x0068,
+ 0x02d1,0x006a, 0x02d5,0x006a, 0x02d9,0x0008, 0x02de,0x012c, 0x02e2,0x012c,
+ 0x02e4,0x0009, 0x02e5,0x002a, 0x02e5,0x0056, 0x02e5,0x012c, 0x02ea,0x0029,
+ 0x02ea,0x0030, 0x02e9,0x0030, 0x02ec,0x0029, 0x02ec,0x0030, 0x02ee,0x012c,
+ 0x02f1,0x0068, 0x02f1,0x00b2, 0x02f1,0x0108, 0x02f1,0x012c, 0x02f6,0x0013,
+ 0x02f6,0x0015, 0x02f6,0x001f, 0x02f6,0x0030, 0x02f6,0x0065, 0x02f6,0x0067,
+ 0x02f6,0x009f, 0x02f6,0x00b6, 0x02f6,0x00b9, 0x02f6,0x00c0, 0x02f6,0x00cf,
+ 0x02f6,0x0107, 0x02f6,0x010b, 0x02f6,0x010f, 0x02f6,0x0115, 0x02f6,0x012d,
+ 0x02f6,0x0134, 0x02f6,0x0153, 0x02f6,0x0171, 0x02f6,0x0176, 0x02f8,0x0003,
+ 0x02fa,0x017b, 0x02fc,0x00ba, 0x02fc,0x00d3, 0x0302,0x0013, 0x0302,0x001f,
+ 0x0302,0x0030, 0x0302,0x005d, 0x0302,0x0065, 0x0302,0x0067, 0x0302,0x0099,
+ 0x0302,0x009f, 0x0302,0x00ad, 0x0302,0x00b9, 0x0302,0x00c0, 0x0302,0x00cf,
+ 0x0301,0x00d2, 0x0301,0x00fe, 0x0302,0x0107, 0x0302,0x010b, 0x0302,0x010f,
+ 0x0302,0x0117, 0x0302,0x0134, 0x0302,0x0153, 0x0302,0x0157, 0x0302,0x0176,
+ 0x0306,0x0029, 0x0308,0x00b2, 0x0309,0x00dc, 0x030d,0x00f8, 0x0312,0x00f3,
+ 0x0318,0x007e, 0x031d,0x0080, 0x0321,0x0008, 0x0321,0x0094, 0x0326,0x017b,
+ 0x0326,0x0181, 0x0329,0x012e, 0x032a,0x017b, 0x032a,0x0181, 0x032e,0x008f,
+ 0x032e,0x0095, 0x032e,0x00f3, 0x032e,0x00f9, 0x0332,0x0009, 0x0331,0x0008,
+ 0x0330,0x003d, 0x0330,0x0044, 0x0330,0x0053, 0x0332,0x008f, 0x0332,0x0095,
+ 0x0330,0x00b1, 0x0332,0x00f3, 0x0332,0x00f9, 0x0330,0x0127, 0x0332,0x017b,
+ 0x0332,0x0181, 0x033c,0x0013, 0x033c,0x001c, 0x033d,0x0086, 0x033d,0x00ec,
+ 0x033d,0x0172, 0x033e,0x019d, 0x0345,0x0002, 0x0344,0x008f, 0x0344,0x00f3,
+ 0x034d,0x0030, 0x0352,0x0033, 0x0354,0x0029, 0x0354,0x0030, 0x035a,0x0009,
+ 0x035a,0x017b, 0x035a,0x019b, 0x035a,0x01a2, 0x035e,0x0181, 0x0360,0x0009,
+ 0x0366,0x0009, 0x0364,0x0029, 0x0364,0x0030, 0x0364,0x0033, 0x0364,0x003a,
+ 0x0364,0x003d, 0x0364,0x0044, 0x0369,0x0030, 0x0370,0x0029, 0x0370,0x0030,
+ 0x0376,0x0033, 0x037a,0x0009, 0x037a,0x019b, 0x037a,0x01a2, 0x037c,0x0009,
+ 0x0382,0x0181, 0x0386,0x0009, 0x0384,0x0029, 0x0384,0x0030, 0x0384,0x0033,
+ 0x0384,0x003a, 0x0384,0x003d, 0x0384,0x0044, 0x038a,0x0044, 0x038a,0x009e,
+ 0x038a,0x0106, 0x038a,0x0198, 0x038d,0x010e, 0x038d,0x0152, 0x038d,0x0158,
+ 0x0392,0x009e, 0x0392,0x0106, 0x0392,0x0198, 0x0395,0x0086, 0x0395,0x009a,
+ 0x0395,0x00ec, 0x0395,0x0172, 0x0398,0x014e, 0x0398,0x0175, 0x0398,0x018d,
+ 0x039c,0x0023, 0x039c,0x0027, 0x039c,0x00ef, 0x039c,0x0139, 0x039c,0x0168,
+ 0x03a0,0x0019, 0x03a0,0x001d, 0x03a0,0x0023, 0x03a0,0x0027, 0x03a1,0x004e,
+ 0x03a4,0x0162, 0x03a4,0x0183, 0x03a8,0x0013, 0x03a8,0x0027, 0x03a8,0x0133,
+ 0x03a8,0x0148, 0x03a8,0x0181, 0x03ac,0x0013, 0x03ac,0x0027, 0x03b0,0x017b,
+ 0x03b0,0x0181, 0x03b4,0x004b, 0x03b4,0x00e0, 0x03b4,0x00fb, 0x03b8,0x000f,
+ 0x03b8,0x0013, 0x03b8,0x00ab, 0x03b8,0x00bf, 0x03b8,0x00d0, 0x03bd,0x00da,
+ 0x03bd,0x012c, 0x03c8,0x000f, 0x03c8,0x0013, 0x03c8,0x0019, 0x03c8,0x001d,
+ 0x03cd,0x0086, 0x03cd,0x00ec, 0x03cd,0x0172, 0x03d2,0x00e0, 0x03d2,0x00ef,
+ 0x03d2,0x0112, 0x03d2,0x0139, 0x03d2,0x0168, 0x03d6,0x017b, 0x03d6,0x0181,
+ 0x03da,0x0133, 0x03da,0x0148, 0x03e2,0x0023, 0x03e2,0x0027, 0x03e6,0x0027,
+ 0x03e6,0x0181, 0x03ee,0x017b, 0x03ee,0x0181, 0x03fe,0x003d, 0x0401,0x012a,
+ 0x0401,0x019e, 0x0405,0x01a0, 0x040a,0x000d, 0x040a,0x011f, 0x040a,0x016f,
+ 0x040d,0x012a, 0x0412,0x017b, 0x041a,0x0033, 0x041a,0x003d, 0x041a,0x0181,
+ 0x0421,0x0086, 0x0421,0x009a, 0x0421,0x00ec, 0x0421,0x0172, 0x042e,0x0205,
+ 0x043a,0x0205, 0x043e,0x017b, 0x0442,0x01f5, 0x044c,0x0007, 0x0452,0x0033,
+ 0x0452,0x01ce, 0x0452,0x01d0, 0x0452,0x01f1, 0x0452,0x01fb, 0x0452,0x0225,
+ 0x0454,0x0005, 0x045a,0x0033, 0x045a,0x0181, 0x045a,0x01ce, 0x045a,0x01d0,
+ 0x045a,0x01f1, 0x0469,0x01de, 0x046e,0x0181, 0x047a,0x01ce, 0x047a,0x01f1,
+ 0x0485,0x012c, 0x0489,0x012c, 0x0490,0x01d8, 0x0496,0x0033, 0x0496,0x003d,
+ 0x0498,0x008f, 0x0498,0x00f3, 0x049e,0x0044, 0x049e,0x0221, 0x04a1,0x0006,
+ 0x04a2,0x0044, 0x04a6,0x0221, 0x04a9,0x0004, 0x04ac,0x0027, 0x04b1,0x009a,
+ 0x04b6,0x0097, 0x04b8,0x0027, 0x04c6,0x0219, 0x04ca,0x017b, 0x04cc,0x004b,
+ 0x04d0,0x00ab, 0x04d6,0x017b, 0x04d8,0x000f, 0x04d8,0x0019, 0x04d8,0x0033,
+ 0x04d8,0x003d, 0x04de,0x003d, 0x04de,0x0103, 0x04de,0x018b, 0x04de,0x0231,
+ 0x04e2,0x0044, 0x04e2,0x009e, 0x04e2,0x0106, 0x04e2,0x0198, 0x04e5,0x01a4,
+ 0x04e5,0x01b6, 0x04ea,0x009e, 0x04ea,0x0106, 0x04ea,0x0198, 0x04ed,0x002e,
+ 0x04ed,0x0038, 0x04ed,0x00a2, 0x04f1,0x0086, 0x04f1,0x009a, 0x04f1,0x00ec,
+ 0x04f1,0x0172, 0x04f9,0x004e, 0x04f8,0x0229, 0x04f8,0x022d, 0x0500,0x023e,
+ 0x0504,0x0217, 0x0510,0x00f3, 0x0514,0x0043, 0x0514,0x004d, 0x0514,0x00c3,
+ 0x0514,0x013d, 0x0514,0x0215, 0x0514,0x0232, 0x0515,0x0260, 0x0519,0x002a,
+ 0x0518,0x0030, 0x0518,0x0067, 0x0518,0x00c9, 0x0518,0x01eb, 0x0518,0x01ef,
+ 0x051c,0x0139, 0x051c,0x0168, 0x0520,0x0027, 0x0526,0x014e, 0x0526,0x0175,
+ 0x0526,0x018d, 0x052d,0x0200, 0x0532,0x0021, 0x0532,0x00bf, 0x0532,0x00d0,
+ 0x0532,0x0239, 0x0532,0x0266, 0x053d,0x0024, 0x053d,0x00da, 0x054a,0x000f,
+ 0x054a,0x00ab, 0x054a,0x023a, 0x054e,0x0043, 0x054e,0x004d, 0x054e,0x00c3,
+ 0x054e,0x013d, 0x054e,0x0215, 0x054e,0x0232, 0x054e,0x029d, 0x0552,0x014e,
+ 0x0552,0x018d, 0x0556,0x00f3, 0x0556,0x01e4, 0x055a,0x0299, 0x055d,0x0086,
+ 0x055d,0x009a, 0x055d,0x00ec, 0x055d,0x0172, 0x0566,0x01dc, 0x0566,0x02a5,
+ 0x056d,0x020a, 0x057a,0x003d, 0x057a,0x01d4, 0x057a,0x01f3, 0x0579,0x025e,
+ 0x057e,0x0139, 0x057e,0x0168, 0x0581,0x0006, 0x0586,0x017b, 0x0586,0x0181,
+ 0x0586,0x028c, 0x0588,0x0007, 0x058e,0x0033, 0x058e,0x008f, 0x058e,0x01d0,
+ 0x058e,0x027c, 0x0590,0x0003, 0x0596,0x0033, 0x0596,0x008f, 0x0596,0x0095,
+ 0x0596,0x01d0, 0x0596,0x027c, 0x05a2,0x026f, 0x05a5,0x0284, 0x05aa,0x017b,
+ 0x05ac,0x0205, 0x05b2,0x008f, 0x05b6,0x017b, 0x05b8,0x01da, 0x05c1,0x0276,
+ 0x05c6,0x0248, 0x05c8,0x0247, 0x05c8,0x027e, 0x05cc,0x003d, 0x05cc,0x01d4,
+ 0x05cc,0x01f3, 0x05d0,0x014e, 0x05d0,0x018d, 0x05da,0x00f9, 0x05dd,0x0006,
+ 0x05de,0x0044, 0x05e5,0x002e, 0x05e6,0x02f1, 0x05ea,0x01d4, 0x05ea,0x01f3,
+ 0x05ea,0x022d, 0x05ed,0x0002, 0x05f6,0x0027, 0x05fa,0x0097, 0x05fc,0x003d,
+ 0x0602,0x003d, 0x0606,0x00f3, 0x060a,0x0027, 0x060e,0x003d, 0x060e,0x0103,
+ 0x060e,0x018b, 0x060e,0x0231, 0x060e,0x02d1, 0x0611,0x01fc, 0x0611,0x0234,
+ 0x061a,0x0287, 0x061d,0x0214, 0x0621,0x01d4, 0x062a,0x0027, 0x062a,0x022d,
+ 0x062e,0x009e, 0x062e,0x0106, 0x062e,0x0198, 0x0632,0x009e, 0x0632,0x0106,
+ 0x0632,0x0198, 0x0639,0x0042, 0x0639,0x00b2, 0x0639,0x0108, 0x063d,0x01f8,
+ 0x0641,0x0086, 0x0641,0x009a, 0x0641,0x00ec, 0x0641,0x0172, 0x0645,0x0044,
+ 0x0649,0x0042, 0x0648,0x0087, 0x0648,0x00ed, 0x0648,0x0173, 0x0649,0x01a0,
+ 0x0648,0x0241, 0x0648,0x026f, 0x0648,0x02df, 0x0648,0x0307, 0x064c,0x023a,
+ 0x064c,0x02b3, 0x0651,0x0062, 0x0650,0x0217, 0x0651,0x02ac, 0x0650,0x02d6,
+ 0x0655,0x0042, 0x065d,0x0042, 0x0664,0x02b1, 0x0664,0x02ce, 0x0669,0x0238,
+ 0x066d,0x002a, 0x066c,0x0039, 0x066d,0x01f6, 0x066c,0x0213, 0x066c,0x022e,
+ 0x066d,0x02a2, 0x066c,0x02e1, 0x0671,0x002a, 0x0670,0x0030, 0x0670,0x0067,
+ 0x0670,0x00c9, 0x0670,0x01eb, 0x0670,0x01ef, 0x0670,0x02c3, 0x0675,0x0020,
+ 0x0678,0x0133, 0x0678,0x0148, 0x067c,0x0027, 0x0681,0x023a, 0x0684,0x0021,
+ 0x0684,0x00bf, 0x0684,0x00d0, 0x0689,0x01fc, 0x068e,0x0162, 0x068e,0x0183,
+ 0x0691,0x0200, 0x0696,0x0023, 0x0696,0x00e0, 0x0696,0x00fb, 0x0696,0x0268,
+ 0x069a,0x0282, 0x069d,0x007e, 0x06a2,0x004b, 0x06a2,0x023e, 0x06a2,0x02dc,
+ 0x06a6,0x0097, 0x06aa,0x02b1, 0x06aa,0x02ce, 0x06ae,0x0039, 0x06ae,0x0213,
+ 0x06ae,0x022e, 0x06ae,0x02e1, 0x06b2,0x0162, 0x06b2,0x0183, 0x06b6,0x0023,
+ 0x06b6,0x00e0, 0x06b6,0x00fb, 0x06ba,0x008f, 0x06ba,0x01e4, 0x06be,0x034b,
+ 0x06c1,0x0086, 0x06c1,0x009a, 0x06c1,0x00ec, 0x06c1,0x0172, 0x06c6,0x01da,
+ 0x06c6,0x0280, 0x06c6,0x0351, 0x06ce,0x008f, 0x06d2,0x01e3, 0x06d2,0x0287,
+ 0x06d2,0x0353, 0x06d6,0x027a, 0x06d6,0x029b, 0x06da,0x0033, 0x06da,0x01ce,
+ 0x06da,0x01f1, 0x06de,0x0133, 0x06de,0x0148, 0x06e2,0x0021, 0x06e2,0x00bf,
+ 0x06e2,0x00d0, 0x06e5,0x023a, 0x06e9,0x0004, 0x06ee,0x028c, 0x06ee,0x0338,
+ 0x06f2,0x0328, 0x06f2,0x0330, 0x06f4,0x0005, 0x06f9,0x01e0, 0x06fe,0x0328,
+ 0x06fe,0x0330, 0x0702,0x003d, 0x0702,0x00f3, 0x0702,0x0330, 0x0704,0x0003,
+ 0x070a,0x003d, 0x070a,0x00f3, 0x070a,0x01d4, 0x070a,0x01f3, 0x070a,0x0330,
+ 0x0711,0x032a, 0x0711,0x032e, 0x0716,0x003d, 0x0718,0x0205, 0x0718,0x0282,
+ 0x071e,0x00f3, 0x0720,0x01dc, 0x0720,0x02a5, 0x0726,0x0324, 0x072a,0x028a,
+ 0x072a,0x02a7, 0x0729,0x031c, 0x0729,0x032a, 0x072e,0x003d, 0x072e,0x00f9,
+ 0x072e,0x022d, 0x072e,0x0248, 0x072e,0x02e4, 0x0730,0x003d, 0x0730,0x0247,
+ 0x0730,0x02e3, 0x0730,0x0324, 0x0732,0x0324, 0x0739,0x032e, 0x073e,0x003d,
+ 0x0740,0x003d, 0x0744,0x027a, 0x0744,0x029b, 0x0748,0x0033, 0x0748,0x01ce,
+ 0x0748,0x01f1, 0x074c,0x0162, 0x074c,0x0183, 0x0750,0x0023, 0x0750,0x00e0,
+ 0x0750,0x00fb, 0x0755,0x0246, 0x075a,0x0095, 0x075a,0x0397, 0x075d,0x0004,
+ 0x076a,0x03b3, 0x076d,0x0002, 0x0772,0x02fb, 0x0772,0x0301, 0x0772,0x0315,
+ 0x0772,0x0397, 0x0776,0x008f, 0x077e,0x0027, 0x078a,0x00a1, 0x0792,0x009d,
+ 0x0792,0x00c3, 0x0792,0x02fb, 0x0792,0x0301, 0x0792,0x0315, 0x0792,0x03bd,
+ 0x0796,0x0027, 0x0796,0x024f, 0x079e,0x009d, 0x07a6,0x009d, 0x07a6,0x02fb,
+ 0x07a6,0x0301, 0x07a6,0x0315, 0x07a6,0x03bd, 0x07aa,0x0027, 0x07aa,0x024f,
+ 0x07ae,0x009d, 0x07b9,0x004e, 0x07b8,0x0087, 0x07b8,0x00ed, 0x07b8,0x0173,
+ 0x07b8,0x0197, 0x07b9,0x021a, 0x07b9,0x02b8, 0x07b9,0x0364, 0x07be,0x0029,
+ 0x07be,0x0030, 0x07c0,0x017b, 0x07c6,0x017b, 0x07c8,0x00f3, 0x07ce,0x00f3,
+ 0x07d0,0x008f, 0x07d6,0x008f, 0x07d9,0x01e8, 0x07dd,0x0292, 0x07e2,0x0053,
+ 0x07e6,0x008f, 0x07e6,0x00f3, 0x07e6,0x017b, 0x07e8,0x0029, 0x07e8,0x0030,
+ 0x07ec,0x0021, 0x07ec,0x02ad, 0x07f2,0x0181, 0x07f2,0x0315, 0x07f4,0x0021,
+ 0x07f8,0x020f, 0x07fd,0x002e, 0x0800,0x008f, 0x0805,0x0006, 0x0809,0x03c2,
+ 0x080d,0x0084, 0x0812,0x0009, 0x0811,0x0008, 0x0812,0x00f3, 0x0812,0x00f9,
+ 0x0812,0x017b, 0x0812,0x0181, 0x0814,0x0033, 0x0818,0x0023, 0x081c,0x0285,
+ 0x0826,0x03bd, 0x082c,0x008f, 0x082c,0x017b, 0x0832,0x0043, 0x0832,0x011b,
+ 0x0832,0x01b3, 0x0832,0x01c3, 0x0835,0x032a, 0x0838,0x0085, 0x0839,0x032a,
+ 0x083e,0x0049, 0x083d,0x0084, 0x083e,0x02fb, 0x083e,0x0301, 0x083e,0x0315,
+ 0x083e,0x0397, 0x0842,0x0009, 0x0841,0x0008, 0x0844,0x0009, 0x0846,0x008f,
+ 0x084a,0x0033, 0x084e,0x0285, 0x0851,0x009a, 0x0856,0x00a1, 0x0859,0x031c,
+ 0x085d,0x00b2, 0x0861,0x0012, 0x0861,0x02cc, 0x0865,0x0058, 0x0865,0x007e,
+ 0x0869,0x004a, 0x0871,0x0010, 0x0876,0x003d, 0x0879,0x032c, 0x087e,0x0089,
+ 0x0882,0x0229, 0x0882,0x022d, 0x0882,0x02c7, 0x0882,0x02cb, 0x0886,0x0021,
+ 0x0886,0x02ad, 0x0885,0x0356, 0x088a,0x0017, 0x088a,0x020f, 0x0889,0x0354,
+ 0x088d,0x009c, 0x0892,0x0089, 0x0895,0x0246, 0x089a,0x03bd, 0x089e,0x008f,
+ 0x089e,0x02f9, 0x089e,0x0313, 0x08a1,0x032a, 0x08a6,0x0053, 0x08a6,0x0095,
+ 0x08a6,0x0397, 0x08a8,0x017b, 0x08ad,0x031a, 0x08b2,0x017b, 0x08b4,0x00f3,
+ 0x08b5,0x02a0, 0x08b8,0x0089, 0x08c1,0x0024, 0x08c4,0x00f3, 0x08c9,0x007e,
+ 0x08cd,0x007c, 0x08cd,0x0222, 0x08cd,0x0294, 0x08d1,0x003a, 0x08d6,0x0009,
+ 0x08d9,0x003a, 0x08dc,0x001f, 0x08e0,0x008f, 0x08e0,0x017b, 0x08e4,0x0009,
+ 0x08e8,0x01ed, 0x08ed,0x031c, 0x08f2,0x003d, 0x08f6,0x008f, 0x08f6,0x017b,
+ 0x08fa,0x0009, 0x08fe,0x003d, 0x0902,0x01e9, 0x0904,0x01e9, 0x0904,0x0381,
+ 0x090a,0x03b1, 0x090d,0x031a, 0x0910,0x0299, 0x0914,0x034b, 0x0919,0x0008,
+ 0x091c,0x0033, 0x091c,0x003d, 0x0920,0x0027, 0x0924,0x0027, 0x0924,0x01fb,
+ 0x092a,0x01ce, 0x092a,0x01f1, 0x092d,0x031c, 0x0930,0x001f, 0x0936,0x00c5,
+ 0x0938,0x00c5, 0x0938,0x0381, 0x093c,0x001b, 0x0942,0x017d, 0x094a,0x0027,
+ 0x094e,0x0027, 0x094e,0x01fb, 0x0952,0x03b1, 0x095a,0x0029, 0x095a,0x0030,
+ 0x095d,0x0030, 0x0961,0x0030, 0x0966,0x02f9, 0x0966,0x0313, 0x0968,0x02eb,
+ 0x096d,0x0008, 0x0970,0x017b, 0x0974,0x0033, 0x0979,0x0150, 0x097d,0x009a,
+ 0x0982,0x0293, 0x0984,0x0293, 0x0984,0x0379, 0x098a,0x02eb, 0x098e,0x0009,
+ 0x0992,0x003d, 0x0996,0x003d, 0x0999,0x0062, 0x099e,0x003d, 0x09a0,0x0027,
+ 0x09a5,0x0144, 0x09a8,0x02b5, 0x09ae,0x008f, 0x09ae,0x009d, 0x09b2,0x004d,
+ 0x09b2,0x0053, 0x09b2,0x00c3, 0x09b2,0x013d, 0x09b2,0x01c5, 0x09b2,0x0271,
+ 0x09b4,0x0025, 0x09ba,0x0033, 0x09ba,0x0079, 0x09bc,0x0015, 0x09c2,0x013f,
+ 0x09c4,0x013f, 0x09c4,0x0379, 0x09ca,0x02b5, 0x09cd,0x0006, 0x09da,0x0009,
+ 0x09d9,0x0008, 0x09dc,0x000b, 0x09dc,0x004f, 0x09dd,0x0086, 0x09e0,0x0009,
+ 0x09e6,0x00a1, 0x09e8,0x0009, 0x09ed,0x0086, 0x09f2,0x001f, 0x09f2,0x002f,
+ 0x09f2,0x0049, 0x09f2,0x006f, 0x09f2,0x0085, 0x09f2,0x0091, 0x09f2,0x00a9,
+ 0x09f2,0x00d3, 0x09f2,0x00d7, 0x09f2,0x011d, 0x09f2,0x0121, 0x09f2,0x0235,
+ 0x09f2,0x0393, 0x09f6,0x0324, 0x09f8,0x0049, 0x09f8,0x00a9, 0x09f8,0x011d,
+ 0x09fe,0x001f, 0x09fe,0x0029, 0x09fe,0x0033, 0x09fe,0x003d, 0x09fe,0x0085,
+ 0x09fe,0x008f, 0x09fe,0x00d3, 0x0a00,0x003d, 0x0a06,0x012d, 0x0a0e,0x00b3,
+ 0x0a10,0x000b, 0x0a10,0x0387, 0x0a16,0x0059, 0x0a18,0x0009, 0x0a1e,0x0043,
+ 0x0a24,0x0085, 0x0a2a,0x0009, 0x0a2d,0x0008, 0x0a32,0x028a, 0x0a32,0x02a7,
+ 0x0a31,0x031c, 0x0a35,0x032e, 0x0a39,0x0006, 0x0a3a,0x0105, 0x0a3a,0x024f,
+ 0x0a3c,0x0299, 0x0a42,0x01ed, 0x0a46,0x0299, 0x0a48,0x01ed, 0x0a4c,0x0059,
+ 0x0a52,0x000b, 0x0a52,0x0387, 0x0a56,0x000b, 0x0a5e,0x0009, 0x0a60,0x003d,
+ 0x0a66,0x0105, 0x0a6a,0x0195, 0x0a6c,0x000b, 0x0a76,0x0053, 0x0a78,0x0009,
+ 0x0a7a,0x008f, 0x0a82,0x0299, 0x0a86,0x01ed, 0x0a8a,0x0027, 0x0a8e,0x004b,
+ 0x0a92,0x003d, 0x0a95,0x0322, 0x0a99,0x0038, 0x0a99,0x0090, 0x0a9c,0x0061,
+ 0x0a9c,0x00c7, 0x0a9c,0x012d, 0x0a9c,0x016f, 0x0a9c,0x017d, 0x0a9c,0x02c9,
+ 0x0a9c,0x0383, 0x0aa1,0x0010, 0x0aa4,0x00b3, 0x0aa8,0x002f, 0x0aac,0x0027,
+ 0x0ab0,0x004b, 0x0ab4,0x0043, 0x0ab9,0x0090, 0x0abd,0x0010, 0x0ac4,0x0019,
+ 0x0acc,0x00f5, 0x0acc,0x022b, 0x0acc,0x037b, 0x0ad2,0x008f, 0x0ad2,0x01f1,
+ 0x0ad6,0x0324, 0x0ad9,0x0330, 0x0ade,0x008f, 0x0ade,0x01f1, 0x0ae0,0x017b,
+ 0x0ae4,0x008f, 0x0ae9,0x004e, 0x0aee,0x0027, 0x0af2,0x028a, 0x0af2,0x02a7,
+ 0x0af1,0x031c, 0x0af6,0x0027, 0x0af9,0x031c, 0x0afe,0x00e9, 0x0afe,0x02bb,
+ 0x0b02,0x000b, 0x0b06,0x00f5, 0x0b06,0x022b, 0x0b06,0x037b, 0x0b0a,0x003d,
+ 0x0000,0x0000
+};
+
+