Mover el caballo por todo el tablero en el ajedrez tocando una una vez cada posicion del tablero
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 | Const {These are the offsets from current locations to all 8 valid knight moves} Offsets: array[1..8] of Tpoint= ((x:-2;y:-1),(x:-2;y:+1),(x:-1;y:-2),(x:-1;y:+2), (x:+1;y:+2),(x:+1;y:-2),(x:+2;y:+1),(x:+2;y:-1) );type TBoard=class(TStringGrid) Private b: array of array of integer; moves:array of TPoint; {array of moves made} size:integer; {board size} manualplay:boolean; {true=user plays} movecount:integer; {nbr of moves made} totmoves:integer; {total moves tried, counting moves taken back } delay:integer; {ms to wait between moves when autosolving} closedtour:boolean; constructor create(Aowner:TComponent; newsize:integer; newlocrect:Trect ); procedure DrawAcell(Sender: TObject; ACol, ARow: Integer; Rect: TRect; State: TGridDrawState); procedure Clicked(Sender:Tobject); function IsValidMove(newcol,newrow:integer):boolean; procedure MakeMove(newcol,newrow:integer); function Canundo:boolean; procedure UndoMove; function PossibleMoves(newcol,newrow:integer):integer; function SolveFrom(newcol,newrow:integer):boolean; end; TForm1 = class(TForm) Memo1: TMemo; SolveBtn: TButton; PlayBtn: TButton; Panel1: TPanel; ColEdit: TSpinEdit; RowEdit: TSpinEdit; Label1: TLabel; Label2: TLabel; SolvingPanel: TPanel; Label4: TLabel; Speedbar: TTrackBar; StopBtn: TButton; StatusBar1: TStatusBar; ClosedBox: TCheckBox; Moveslbl: TLabel; procedure FormCreate(Sender: TObject); procedure PlayBtnClick(Sender: TObject); procedure SolveBtnClick(Sender: TObject); procedure SpeedbarChange(Sender: TObject); procedure StopBtnClick(Sender: TObject); procedure FormCloseQuery(Sender: TObject; var CanClose: Boolean); procedure ClosedBoxClick(Sender: TObject); public { Public declarations } board:TBoard; Procedure makeboard; end; var Form1: TForm1; implementation {$R *.DFM}{****************** TBoard Methods ********************} Constructor TBoard.create(Aowner:TComponent; newsize:integer; newlocrect:Trect ); var i,j:integer; begin inherited create(Aowner); if Aowner is TWinControl then parent:=TWincontrol(Aowner); scrollbars:=ssNone; size:=newsize; colcount:=size; fixedcols:=0; rowcount:=size; fixedrows:=0; top:=newlocrect.top; left:=newlocrect.left; width:=newlocrect.right-left; defaultcolwidth:= (width-size) div size-1; defaultrowheight:=defaultcolwidth; width:=(defaultcolwidth+1)*size+3; {trim width to fit squares} height:=width; setlength(b,newsize,newsize); {initialize board to zeros} for i:= 0 to size-1 do for j:= 0 to size-1 do b[i,j]:=0; setlength(moves,size*size+1); movecount:=0; totmoves:=0; OnDrawCell:=DrawACell; OnClick:=Clicked; canvas.font.size:=12; canvas.font.name:='Courier'; {fixed font size} end; procedure TBoard.DrawACell(Sender: TObject; ACol, ARow: Integer; Rect: TRect; State: TGridDrawState); {OnDrawcell exit} var i,j:integer; s:string;begin i:=acol; j:=arow; with Sender as TBoard do begin {make chessboard coloring } if (i mod 2) = (j mod 2) {odd row&column or even row&column} then Canvas.Brush.Color := clsilver else canvas.brush.color:=clblack; Canvas.FillRect(Rect); if b[i,j]>0 then with canvas do begin font.size:=12; font.style:=[fsbold]; if (i mod 2) = (j mod 2) then font.color:=clblack else font.color:=clwhite; s:=format('%2d',[b[i,j]]); canvas.textout(rect.left +3 , rect.top+3,s); end; end; end; Procedure TBoard.clicked;{User clicked a cell} begin if not manualplay then exit; If isValidmove(col,row) then makemove(col,row) else if canundo then undomove else beep; end; Function TBoard.IsValidMove(newcol,newrow:integer):boolean; {There are 8 possible move positions relative to lastmove location. They are col row --- --- -2 +1 -2 -1 -1 -2 -1 +2 +1 +2 +1 -2 +2 +1 +2 -1 } {To be valid, col+newcol and row+newrow must match one of these and board must be unoccupied at that loacation} var i:integer; test:Tpoint; OK:boolean; pcol,prow:integer; begin If (newcol<0) or (newcol>=size) or (newrow<0) or (newrow>=size) then OK:=false else If movecount=0 then OK:=true {1st move can be anywhere} else begin {get previous move} test.x:=moves[movecount].x-newcol; test.y:=moves[movecount].y-newrow; OK:=false; for i:= 1 to 8 do {to be OK, it has to be to valid location} if (test.x=offsets[i].x) and (test.y=offsets[i].y) then begin OK:=true; break; end; {and location has to be unoccupied} If OK and (b[newcol,newrow]<>0) then OK :=false; {12/20/02 - add code for closed tours - move must not make the starting position unreachable unless it is the last move} if closedtour and OK and ((newcol<>0) or (newrow<>0)) and (movecount<size*size-1) then begin b[newcol,newrow]:=1; ok:=false; for i:= 1 to 8 do {count how many next moves exist} begin pcol:=moves[1].x+offsets[i].x; prow:=moves[1].y+offsets[i].y; if (pcol>=0) and (pcol<size) and (prow>=0)and(prow<size) and (b[pcol,prow ]=0) then begin Ok:=true; break; end; end; b[newcol,newrow]:=0; end; end; result:=OK; end; Procedure TBoard.makemove(newcol,newrow:integer); {make a move}begin col:=newcol; row:=newrow; inc(movecount); {count the move} {add move to moves array} with moves[movecount] do begin x:=col; y:=row; end; {fill in the move number to board and display} b[col,row]:=movecount; cells[col,row]:=inttostr(movecount); end; Function TBoard.Canundo:boolean; begin result:=(b[col,row]=movecount); {can only undo last move} end; Procedure TBoard.UndoMove; {undo a move} begin If movecount>0 then with moves[movecount] do begin b[x,y]:=0; {0 the board cell} cells[x,y]:=''; {blank the display cell} dec(movecount); {decrease the count} end;end; Function TBoard.possiblemoves(newcol,newrow:integer):integer; { Return a count of valid moves from this location} var i,count:integer; begin count:=0; If isvalidmove(newcol,newrow) then begin makemove(newcol,newrow); {make the trial move} for i:= 1 to 8 do {count how many next moves exist} if isvalidmove(newcol+offsets[i].x, newrow+offsets[i].y) then inc(count); undomove; {and undo the move} end; result:=count; end; Function TBoard.solvefrom(newcol,newrow:integer):boolean;{generate all possible next moves, and count the number of next moves from each position. Pick one with lowest value and move there} {If the lowest number of next moves is 0 and that would not be the last move then this is a bad path. Need to backtrakc and try another path - continue until solved or all paths have been tried}type TMoverec = record pcol,prow,nbrmoves:integer; distfromstart:single; end;var possibles:array [1..8] of TMoveRec; i:integer; function dist(col,row:integer):single; begin result:=sqr(moves[1].x-col)+sqr(moves[1].y-row); end; Procedure sortmoves; {sort the possible moves by increasing next move count then by distance from staring position} var i,j:integer; procedure swap(i,j:integer); var Hrec:TMoverec; begin Hrec:=possibles[i]; possibles[i]:=possibles[j]; possibles[j]:=hrec; end; begin begin for i:= 1 to size-1 do for j:= i+1 to size do If possibles[i].nbrmoves>possibles[j].nbrmoves then swap(i,j) else if (possibles[i].nbrmoves=possibles[j].nbrmoves) and (possibles[i].distfromstart<possibles[j].distfromstart) then swap(i,j); end; end; {Sortmoves} begin {Solvefrom} {Update display and wait awhile} application.processmessages; sleep(delay); {Done?} If movecount=size*size then result:=true else {If not, then generate next moves for all possible moves from here} begin result:=false; If manualplay then exit; for i:= 1 to size do with possibles[i] do begin pcol:=newcol+offsets[i].x; prow:=newrow+offsets[i].y; nbrmoves:=PossibleMoves(pcol,prow); distfromstart:=dist(pcol,prow); {if no moves possible from this location, then make sure it sorts to end of array. Not really necessary, just saves the time of checking and rejecting those cases } if nbrmoves=0 then nbrmoves:=size+1; end; {Sort them by increasing possible moves - Warnsdorff heuristic} sortmoves; {Now, run through all the possibilities - making recursive call for valid ones} {backtrack by calling undomove for paths that don't work} i:=1; while (i<=size) and (tag=0) do with possibles[i] do begin If isvalidmove(pcol,prow) then begin makemove(pcol,prow); inc(totmoves); form1.moveslbl.caption:='Total moves tried: '+inttostr(totmoves); if solvefrom(pcol,prow) then begin result:=true; break; end else if not manualplay then begin undomove; {beep;} end; end; inc(i); end; end; end; {******************** Form Methods *******************} procedure TForm1.FormCreate(Sender: TObject); begin randomize; makeboard; solvingpanel.bringtofront;end; Procedure TForm1.makeboard; begin with Panel1 do {dummygrid is a stringgrid just to supply the size} board:=TBoard.create(self,8,rect(left,top,left+width,top+height)); board.delay:=speedbar.max-speedbar.position; closedboxclick(self); end; procedure TForm1.PlayBtnClick(Sender: TObject); begin if board.manualplay then begin if assigned(board) then board.free; Makeboard; end; board.manualplay:=true; end; procedure TForm1.SolveBtnClick(Sender: TObject); {Compute solution - Start at a random location and try all paths - backtrack on those that don't work - until solution is found. Uses Warnsdorf heuristic - when a choice of moves is available, choose the one that has the fewest next moves } begin makeboard; board.manualplay:=false; with board do begin with speedbar do position:=(max+min) div 2; solvingpanel.visible:=true; totmoves:=0; moveslbl.caption:='Total moves tried: 0'; {makemove(random(size),random(size));} makemove(Coledit.value-1, Rowedit.value-1); If solvefrom(col,row) then showmessage('Solved!') else if not manualplay then showmessage('No solution found'); solvingpanel.visible:=false; end; board.manualplay:=true; end; procedure TForm1.SpeedbarChange(Sender: TObject); {set new ms delay between moves}begin with speedbar do board.delay:=max-position; end; procedure TForm1.StopBtnClick(Sender: TObject);begin board.tag:=1; end; procedure TForm1.FormCloseQuery(Sender: TObject; var CanClose: Boolean);begin board.tag:=1; {in case we're solving} canclose:=true; end; procedure TForm1.ClosedBoxClick(Sender: TObject); begin board.closedtour:=closedbox.checked; end; (* procedure TForm1.Button1Click(Sender: TObject); {temp to save a copy of the board for website} var b:TBitmap; w,h:integer; begin b:=tBitmap.create; h:=board.Height; w:=board.Width; b.height:=h; b.width:=w; b.canvas.copyrect(rect(0,0,w,h),board.canvas,rect(0,0,w,h)); b.savetofile('kn.BMP'); b.free;end; *) end. |
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