iphone - how to fast and safely create pattern database for 6 tiles for the 663 approach to solve 15 puzzle? -

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i creating pattern databases 6-6-3 pattern database approach solve 15 puzzle, code working generate possible patterns 3 tiles taking time 6 tiles crashes in between after generating fewer node. code far below- 

-(void)createandinsertpatterns{ fifteenpuzzle *startingpuzzle=[[fifteenpuzzle alloc]init]; startingpuzzle.pattern=[self getpatternstring:startingpattern]; startingpuzzle.cost=0; [self enqueue:startingpuzzle]; //[self insertintodb:startingpuzzle.pattern:0]; fifteenpuzzle* currentpuzzle; while((currentpuzzle =[self dequeue])!=nil){     if(![self isalreadyadded:currentpuzzle.pattern]){         nsstring *patternstring=[nsstring stringwithstring:currentpuzzle.pattern];         nsinteger cost=currentpuzzle.cost;         [self insertintodb:currentpuzzle.pattern:cost];          nsmutablearray *allpatterns = [self allneighborforpattern:[self getarrayfromstring:patternstring]];          (nsmutablearray *obj in allpatterns) {             fifteenpuzzle *p=[[fifteenpuzzle alloc]init];             p.pattern=[self getpatternstring:obj];             p.cost=cost+1;             [self enqueue:p];          }     }else{         //nslog(@"pattern added");     } } }  -(void)insertintodb :(nsstring*)patternstring :(int)no_of_moves{ [patternqueue setobject:@"yes" forkey:patternstring];  sqlite3_stmt *statement; nsstring *querysql = [nsstring stringwithformat:@"insert data values (\"%@\",\"%d\")",patternstring,no_of_moves];  if(sqlite3_prepare_v2(database, [querysql utf8string], -1, &statement, null) == sqlite_ok) {  } if(sqlite3_step(statement) != sqlite_done ) {     nslog( @"error: %s", sqlite3_errmsg(database) );     sqlite3_finalize(statement); }else {     //nslog(@"query executed");; } sqlite3_reset(statement); }  -(bool)isalreadyadded:(nsstring*)patternstring{ if ([[patternqueue objectforkey:patternstring]isequaltostring:@"yes"])     return yes; else     return no; } -(void)enqueue:(fifteenpuzzle*)puzzle { if(![self isalreadyadded:puzzle.pattern])     [queue addobject:puzzle]; } -(fifteenpuzzle*)dequeue{ if (queue.count==0) {     return nil; } fifteenpuzzle *puzzle=[queue objectatindex:0]; [queue removeobjectatindex:0];  return puzzle; }  -(nsmutablearray*)allneighborforpattern :(nsmutablearray*)pattern{ nsmutablearray *allneighborpatterns=[[nsmutablearray alloc]init]; (int v=0; v<16;v++) {     int value=[[pattern objectatindex:v]intvalue];     if (value==0)         continue;     int row=v/4;     int col=v%4;      if (col-1>=0) {//left         if ([[pattern objectatindex:v-1]intvalue]==0) {             nsmutablearray *left=[[nsmutablearray alloc]initwitharray:pattern];             [left exchangeobjectatindex:v withobjectatindex:v-1];             if([patternqueue objectforkey:[self getpatternstring:left]]==nil)                 [allneighborpatterns addobject:left];         }     }     if (col+1<4) {//right         if ([[pattern objectatindex:v+1]intvalue]==0) {             nsmutablearray *right=[[nsmutablearray alloc]initwitharray:pattern];             [right exchangeobjectatindex:v withobjectatindex:v+1];             if([patternqueue objectforkey:[self getpatternstring:right]]==nil)              [allneighborpatterns addobject:right];         }     }     if (row-1>=0) {//top         if ([[pattern objectatindex:v-4]intvalue]==0) {             nsmutablearray *top=[[nsmutablearray alloc]initwitharray:pattern];             [top exchangeobjectatindex:v withobjectatindex:v-4];             if([patternqueue objectforkey:[self getpatternstring:top]]==nil)                 [allneighborpatterns addobject:top];         }     }     if (row+1<4) {//bottom         if ([[pattern objectatindex:v+4]intvalue]==0) {             nsmutablearray *bottom=[[nsmutablearray alloc]initwitharray:pattern];             [bottom exchangeobjectatindex:v withobjectatindex:v+4];             if([patternqueue objectforkey:[self getpatternstring:bottom]]==nil)                 [allneighborpatterns addobject:bottom];         }     } } return allneighborpatterns; }

where patternqueue used save patterns been added database , queue holds patterns expanded. using breadth first search expand nodes. 6 tiles combination database hold 16!/(16-10)!=5765760 patterns (nodes) code crashes after generating fewer nodes approximately 200000 in 5 minutes.

please suggest changes can increase speed or avoid chances of crash.


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