Kode PHP, 1808 971 byte
Implementasi cepat dan kotor di PHP. Brute-force pertama semua bentuk slice yang mungkin, selanjutnya brute-force semua posisi dan orientasi irisan.
Pemakaian: cat pizza.txt | php pizza.php
Sunting: mengurangi ukuran kode lebih dari 45% dengan algoritma rewring menggunakan rekursi daripada loop bersarang. Namun, ini memakan memori (dan pizza ;-)). Pizza yang lebih besar dari 8x8 mungkin akan kehabisan memori. Varian loop bersarang dapat dengan mudah menangani ukuran apa pun, tetapi dua kali ukuran kode.
<?php define('A',98);$n=fgets(STDIN);$d=array();$m=$u=str_pad('',A,'+');$s=0;while($g=fgets(STDIN)){$g=rtrim($g);assert(strlen($g)<=A-2);$s++;$m.='+'.str_pad(rtrim($g),A-2,' ').'+';for($l=0;$l<strlen($g);$l++)if($g[$l]=='#')$d[]=$s*A+$l+1;}$m.=$u;$r=count($d)/$n;x(reset($d),array(array()),0,0,0,0);die('No pizza for you!');function x($e,$c,$b,$a,$q,$t){global$r,$m,$d;$h=$a*A+$b;if(!in_array($e+$h,$d))return;if(in_array($h,$c[0]))return;$c[0][]=$h;$c[1][]=$b*A-$a;$c[2][]=-$a*A-$b;$c[3][]=-$b*A+$a;if(count($c[0])<$r)do{x($e,$c,$b+1,$a,$b,$a);x($e,$c,$b,$a+1,$b,$a);x($e,$c,$b-1,$a,$b,$a);x($e,$c,$b,$a-1,$b,$a);$v=($b!=$q||$a!=$t);$b=$q;$a=$t;}while($v);else w($c,$m,0,reset($d),0);}function w(&$p,$f,$o,$e,$i){global$n,$d;foreach($p[$i]as$h){$j=$e+$h;if(!isset($f[$j])||$f[$j]!='#')return;$f[$j]=chr(ord('0')+$o);}if(++$o==$n){for($k=A;$k<strlen($f)-A;$k++)if($k%A==A-1)echo PHP_EOL;else if($k%A)echo$f[$k];exit;}foreach($d as$j)for($i=0;$i<4;$i++)w($p,$f,$o,$j,$i);}
Kode tidak terdokumentasi dan terdokumentasi
Di bawah ini adalah kode asli yang didokumentasikan. Untuk menjaga kewarasan saya, saya bekerja dengan kode sumber lengkap, dan menulis skrip minifier sederhana untuk menghapus pernyataan seperti assert()
dan error_reporting()
, menghapus tanda kurung yang tidak perlu, mengganti nama variabel, fungsi dan konstanta untuk menghasilkan kode golf di atas.
<?php
error_reporting(E_ALL) ;
// Width of each line of pizza shape.
// Constant will be reduced to single character by minifier,
// so the extra cost of the define() will be gained back.
define('WIDTH', 98) ;
// Read number of slices
$nrSlices = fgets(STDIN) ;
// Read pizza shape definition and
// convert to individual $positionList[]=$y*width+$x and
// linear (1D) $pizzaShape[$y*WIDTH+$x] with protective border around it.
//
// WARNING: assumes maximum pizza width of WIDTH-2 characters!
$positionList = array() ;
$pizzaShape = $headerFooter = str_pad('', WIDTH, '+') ;
$y = 0 ;
while ($line = fgets(STDIN))
{ $line = rtrim($line) ;
assert(strlen($line) <= WIDTH-2) ;
$y++ ;
$pizzaShape .= '+'.str_pad(rtrim($line), WIDTH-2, ' ').'+' ;
for ($x = 0 ; $x < strlen($line) ; $x++)
{ if ($line[$x] == '#') $positionList[] = $y*WIDTH + $x+1 ;
}
}
$pizzaShape .= $headerFooter ;
// Determine size of a slice
$sliceSize = count($positionList)/$nrSlices ;
// Build all possible slice shapes. All shapes start with their first part at
// the top of the pizza, and "grow" new parts in all directions next to the
// existing parts. This continues until the slice has the full size. This way
// we end up with all shapes that fit at the top of the pizza.
//
// The shape is defined as the offsets of the parts relative to the base
// position at the top of the pizza. Offsets are defined as linear offsets in
// the 1-D $pizzaShape string.
//
// For efficiency, we keep track of all four possible rotations while building
// the slice shape.
//
growSlice(reset($positionList), array(array()), 0, 0, 0, 0) ;
die('No pizza for you!') ;
function growSlice($basePosition, $shapeDeltas, $dx, $dy, $prevDx, $prevDy)
{ global $sliceSize, $pizzaShape, $positionList ;
// Check validity of new position
// Abort if position is not part of pizza, or
// if position is already part of slice
$delta = $dy*WIDTH + $dx ;
if (!in_array($basePosition+$delta, $positionList)) return ;
if (in_array($delta, $shapeDeltas[0])) return ;
// Add all four rotations to shapeDeltas[]
$shapeDeltas[0][] = $delta ;
$shapeDeltas[1][] = $dx*WIDTH - $dy ;
$shapeDeltas[2][] = -$dy*WIDTH - $dx ;
$shapeDeltas[3][] = -$dx*WIDTH + $dy ;
// Have we built a full slice shape?
if (count($shapeDeltas[0]) < $sliceSize)
{ // Grow shape either at current position or at previous position
do
{ growSlice($basePosition, $shapeDeltas, $dx+1, $dy, $dx, $dy) ;
growSlice($basePosition, $shapeDeltas, $dx, $dy+1, $dx, $dy) ;
growSlice($basePosition, $shapeDeltas, $dx-1, $dy, $dx, $dy) ;
growSlice($basePosition, $shapeDeltas, $dx, $dy-1, $dx, $dy) ;
$retry = ($dx != $prevDx || $dy != $prevDy) ;
$dx = $prevDx ;
$dy = $prevDy ;
} while ($retry) ;
} else
{ // Try to cover the entire pizza by translated and rotated instances of
// the slice shape.
fitSlice($shapeDeltas, $pizzaShape, 0, reset($positionList), 0) ;
}
}
function fitSlice(&$shape, $pizza, $id, $basePosition, $rotation)
{ global $nrSlices, $positionList ;
// Try to fit each part of the slice onto the pizza. If the part falls
// outsize the pizza, or overlays another slice we reject this position
// and rotation. If it fits, we mark the $pizza[] with the slice $id.
foreach ($shape[$rotation] as $delta)
{ $position = $basePosition + $delta ;
if (!isset($pizza[$position]) || $pizza[$position] != '#') return ;
$pizza[$position] = chr(ord('0')+$id) ;
}
// If $nrSlices slices have been fitted, we have found a valid solution!
// In that case, we display the solution and quit.
if (++$id == $nrSlices)
{ for ($pos = WIDTH ; $pos < strlen($pizza)-WIDTH ; $pos++)
{ if ($pos % WIDTH == WIDTH-1) echo PHP_EOL ;
else if ($pos % WIDTH) echo $pizza[$pos] ;
}
exit ;
}
// The current slice did fit, but we have still more slices to fit.
// Try all positions and rotations for the next slice.
foreach ($positionList as $position)
{ for ($rotation = 0 ; $rotation < 4 ; $rotation++)
{ fitSlice($shape, $pizza, $id, $position, $rotation) ;
}
}
}