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sudoku.php
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sudoku.php
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<?php
$puzzle = array ();
$puzzle['easy'] = /*{{{*/ <<<SUDOKU
xxx5x37xx
x6x9x21x8
54x8xxxx9
x73x564xx
x1xxxxx7x
xx573x29x
8xxxx9x63
6x13x4x2x
xx96x5xxx
SUDOKU;
/*}}}*/
$puzzle['medium'] =/*{{{*/ <<<SUDOKU
2xx3675xx
5xx8xxx6x
3xx45x7xx
x9x53x4xx
x8xxxxx7x
xx3x74x5x
xx1x26xx5
x3xxx5xx7
xx2783xx1
SUDOKU;
/*}}}*/
$puzzle['hard'] =/*{{{*/ <<<SUDOKU
xx716249x
xxxx8xx75
xxxx4x2xx
26xx53xx9
x9xxxxx2x
7xx29xx16
xx8x3xxxx
17xx2xxxx
x495178xx
SUDOKU;
/*}}}*/
$puzzle['vhard'] =/*{{{*/ <<<SUDOKU
2xx3x1x45
xxxxx6xx2
x53x9xxxx
98xxxx7x3
1x7xxx4x9
3x5xxxx86
xxxx2x96x
4xx1xxxxx
79x6x5xx4
SUDOKU;
/*}}}*/
$puzzle['vhard'] =/*{{{*/ <<<SUDOKU
xxxxxxxxx
x5xx4236x
3x46x817x
8xxx2xxx9
xxx8x1xxx
4xxx6xxx1
x162x49x7
x4957xx1x
xxxxxxxxx
SUDOKU;
/*}}}*/
$puzzle['hardest'] =/*{{{*/ <<<SUDOKU
85xxx24xx
72xxxxxx9
xx4xxxxxx
xxx1x7xx2
3x5xxx9xx
x4xxxxxxx
xxxx8xx7x
x17xxxxxx
xxxx36x4x
SUDOKU;
/*}}}*/
$puzzle['hardest'] =/*{{{*/ <<<SUDOKU
xx84xxxx1
x3xx2xx9x
2xxxx97xx
5xxxx32xx
x8xx4xx6x
xx78xxxx9
xx41xxxx3
x9xx5xx7x
7xxxx46xx
SUDOKU;
/*}}}*/
$puzzle['hardest'] =/*{{{*/ <<<SUDOKU
xx9xxx731
x38xx7xxx
xxx34x8xx
7xxxxxx53
89x5x6x47
x5xxxxxx6
xx6x59xxx
xxx2xxx1x
582xxx3xx
SUDOKU;
/*}}}*/
$puzzle['hardest'] =/*{{{*/ <<<SUDOKU
xx9xxx731
x38xx7xxx
xxx34x8xx
7xxxxxx53
89x5x6x47
x5xxxxx86
xx6x594xx
xxx2xxx1x
582xxx3xx
SUDOKU;
/*}}}*/
// @todo : Only possibility in square
// @todo : Only possibility in row eliminates in other square
Class Sudoku
{
private $raw = array();
private $data = array();
private $possible = array( );
private $quiet = false ;
private $log = array ();
public function __construct($string, $quiet = false )/*{{{*/
{
$this->quiet = $quiet ;
$x = 0 ;
$y = 0 ;
foreach (explode("\n", $string) as $data )
{
for($x=0; $x<strlen($data); $x++)
{
$a = substr($data,$x ,1) ;
if ( $a === 'x' )
$temp = null;
else
$temp = $a ;
$this->raw[$x][$y] = $temp ;
$this->data[$x][$y] = $temp ;
}
$y++ ;
}
}/*}}}*/
public function display($ox= null, $oy = null )/*{{{*/
{
echo '<table border="1" cellpadding="10">';
for ($y=0; $y < 9 ; $y++ )
{
echo '<tr>';
for ( $x=0; $x< 9 ; $x++ )
{
$val = $this->data[$x][$y] ;
if ( $ox !== null && $x == $ox && $oy !== null && $y == $oy )
echo '<td style="width:50px;background-color:#ff4444;" >'.$val.'</td>';
elseif ( $val === null)
echo '<td style="width:50px;font-size:75%;font-style:italic;background-color:#dddd00;">'.@implode(' ', $this->possible[$x][$y]).'</td>';
elseif ( $this->raw[$x][$y] == $this->data[$x][$y] )
echo '<td style="width:50px;background-color:#ddddff;"><b>'.$val.'</b></td>';
else
echo '<td style="width:50px;background-color:#eeffee;" >'.$val.'</td>';
if ( ( 1 + $x ) % 3 === 0)
echo '<td></td>';
}
echo '</tr>';
if ( ( 1 + $y ) % 3 === 0)
echo '<tr><td colspan="12"></td></tr>';
}
echo '</table>';
}/*}}}*/
public function displayText($ox= null, $oy = null )/*{{{*/
{
for ($y=0; $y < 9 ; $y++ )
{
for ( $x=0; $x< 9 ; $x++ )
{
$val = $this->data[$x][$y] ;
if ( $ox !== null && $x == $ox && $oy !== null && $y == $oy )
echo '|'.$val.'|';
elseif ( $val === null)
echo '|'.@implode(' ', $this->possible[$x][$y]).'|';
elseif ( $this->raw[$x][$y] == $this->data[$x][$y] )
echo '|'.$val.'|';
else
echo '|'.$val .'|';
if ( ( 1 + $x ) % 3 === 0)
echo ' ';
}
echo "\n" ;
echo "---------------------------------------\n";
if ( ( 1 + $y ) % 3 === 0)
echo "\n";
}
}/*}}}*/
public function solve()/*{{{*/
{
$loop = 3 ;
$hit = true;
while ( $hit && !$this->isSolved() )
{
while ( $hit && !$this->isSolved() )
{
$hit = false ;
while ( $this->fill() ) ;
if ( $this->deduct() )
$hit = true ;
}
// $hit = $this->guessOneBox();
}
// if ( !$this->quiet )
// echo "Gave up!";
return $this->isSolved() ;
}/*}}}*/
private function setPoint($x, $y, $p )/*{{{*/
{
$this->data[$x][$y] = $p;
}/*}}}*/
private function guessOneBox()/*{{{*/
{
for ( $c = 2; $c < 9; $c++ )
{
for ($y = 0; $y < 9 ; $y++ )
{
for ($x = 0; $x < 9 ; $x++ )
{
if ( $this->data[$x][$y] === null && count( $this->possible[$x][$y] ) == $c )
{
foreach ( $this->possible[$x][$y] as $i => $p )
{
$guess = new self( $this->export() ) ;
//echo "Guessing $x $y => $p<br />";
$this->display();
$guess->setPoint($x, $y, $p );
try
{
$guess->solve() ;
// $this->data[$x][$y] = $p;
$this->data = $guess->data ;
$this->log($x,$y,$p,"Good guess");
return true ;
}
catch(exception $e )
{
$this->log($x,$y,$p,"Bad guess");
}
}
if ( $x == 8 && $y == 1 && $p == 4 )
{
die ("Back here !");
}
}
}
}
}
}/*}}}*/
private function export() /*{{{*/
{
$str = '';
for ($y = 0; $y < 9 ; $y++ )
{
for ($x = 0; $x < 9 ; $x++ )
{
$i = $this->data[$x][$y] ;
if ( $i === null )
$str .= 'x';
else
$str .= $i ;
}
$str .= "\n";
}
return trim($str );
}/*}}}*/
private function isSolved() /*{{{*/
{
for ($x = 0; $x < 9 ; $x++ )
for ($y = 0; $y < 9 ; $y++ )
if ( $this->data[$x][$y] === null )
return false;
return true ;
}/*}}}*/
private function fill()/*{{{*/
{
$x = 0;
$y = 0;
$hit = 0;
$this->log(-1,-1,-1, 'Updating notes') ;
for ( $y = 0; $y < 9 ; $y++ )
{
for ($x = 0; $x < 9; $x++ )
{
if ( $this->data[$x][$y] != null ) continue ;
if ( !array_key_exists($x, $this->possible ) )
$this->possible[$x] = array();
if ( !array_key_exists($y, $this->possible[$x] ) )
{
$this->possible[$x][$y] = array();
for ($i = 1; $i<= 9; $i++ )
if ( $this->isValid($x,$y,$i ))
$this->possible[$x][$y][] = $i ;
}
else
{
$temp = $this->possible[$x][$y] ;
$this->possible[$x][$y] = array();
foreach ($temp as $i )
if ( $this->isValid($x,$y,$i ))
$this->possible[$x][$y][] = $i ;
}
if ( count($this->possible[$x][$y] ) == 1 )
{
$this->data[$x][$y] = $this->possible[$x][$y][0] ;
$this->log($x, $y, $this->data[$x][$y], "Fill");
$hit++;
}
elseif ( count($this->possible[$x][$y]) == 0 )
{
if ( !$this->quiet )
$this->display($x, $y );
throw new exception("Nothing is possible in $x x $y");
}
}
}
if ( $hit )
return true ;
return false;
}/*}}}*/
private function deduct()/*{{{*/
{
$x = 0;
$y = 0;
$hit = 0;
$this->log(-1,-1,-1, 'Updating notes') ;
for ( $y = 0; $y < 9 ; $y++ )
{
for ($x = 0; $x < 9; $x++ )
{
if ( $this->data[$x][$y] !== null ) continue ;
$detect = array_diff( $this->possible[$x][$y], $this->getRow($x, $y ) ) ;
if ( count($detect) == 1 )
{
$this->data[$x][$y] = array_shift($detect);
$this->log($x,$y, $this->data[$x][$y], "Deduction ( Row )");
return true;
}
$detect = array_diff( $this->possible[$x][$y], $this->getCol($x, $y ) ) ;
if ( count($detect) == 1 )
{
$this->data[$x][$y] = array_shift($detect);
$this->log($x,$y, $this->data[$x][$y], "Deduction ( Col )");
return true;
}
$detect = array_diff( $this->possible[$x][$y], $this->getBox($x, $y ) ) ;
if ( count($detect) == 1 )
{
$this->data[$x][$y] = array_shift($detect);
$this->log($x,$y, $this->data[$x][$y], "Deduction ( Box )");
return true;
}
}
}
}/*}}}*/
private function getRow( $x1, $y )/*{{{*/
{
$numbers = array();
for($x = 0 ; $x < 9; $x++ )
{
if ( $x == $x1 ) continue ;
if ( $this->data[$x][$y] !== null ) continue ;
foreach ( $this->possible[$x][$y] as $num )
if ( !in_array($num, $numbers ))
$numbers[] = $num ;
}
return $numbers ;
}/*}}}*/
private function getCol( $x, $y1 )/*{{{*/
{
$numbers = array();
for($y = 0 ; $y < 9; $y++ )
{
if ( $y == $y1 ) continue ;
if ( $this->data[$x][$y] !== null ) continue ;
foreach ( $this->possible[$x][$y] as $num )
if ( !in_array($num, $numbers ))
$numbers[] = $num ;
}
return $numbers ;
}/*}}}*/
private function getBox( $x1, $y1 )/*{{{*/
{
if ( $x1 != 1 || $y1 != 7 )
return array() ;
$numbers = array();
$x = ( (int) ( $x1 / 3 ) ) * 3 ;
$y = ( (int) ( $y1 / 3 ) ) * 3 ;
for ( $y3 = 0; $y3 < 3; $y3++ )
for ( $x3 = 0; $x3 < 3; $x3++ )
{
$y2 = $y + $y3;
$x2 = $x + $x3;
if ( $y2 == $y1 && $x2 == $x1 ) continue ;
if ( $this->data[$x2][$y2] !== null ) continue ;
foreach ( $this->possible[$x2][$y2] as $num )
if ( !in_array($num, $numbers ))
$numbers[] = $num ;
}
return $numbers ;
}/*}}}*/
private function log($x, $y, $value, $why )/*{{{*/
{
if ( $this->quiet ) return ;
if ($x == -1 )
; //echo "<b>$why</b> <br />";
else
{
//echo "$x,$y => $value ( $why ) <br />";
if ( !array_key_exists($why, $this->log ))
$this->log[$why] = 0;
$this->log[$why]++;
}
flush();
}/*}}}*/
public function __destruct()/*{{{*/
{
return ;
foreach ( $this->log as $key => $value ) ;
//echo "<b>$key</b> => $value <br />";
}/*}}}*/
private function isValid($x, $y, $a )/*{{{*/
{
return
!$this->inRow($y,$a)
&& !$this->inCol($x, $a )
&& !$this->inBox($x, $y, $a )
;
}/*}}}*/
private function inRow( $y, $a )/*{{{*/
{
for($i = 0 ; $i < 9; $i++ )
{
if ( $this->data[$i][$y] == $a )
return true;
}
return false;
}/*}}}*/
private function inCol( $x, $a )/*{{{*/
{
for($i = 0 ; $i < 9; $i++ )
{
if ( $this->data[$x][$i] == $a )
return true;
}
return false;
}/*}}}*/
private function inBox( $x,$y, $a )/*{{{*/
{
$x = ( (int) ( $x / 3 ) ) * 3 ;
$y = ( (int) ( $y / 3 ) ) * 3 ;
for ( $y1 = 0; $y1 < 3; $y1++ )
for ( $x1 = 0; $x1 < 3; $x1++ )
{
$y2 = $y + $y1;
$x2 = $x + $x1;
if ( $this->data[$x2][$y2] == $a )
return true ;
}
return false;
}/*}}}*/
}
//$s = new Sudoku ( $puzzle['medium'] );
//$s = new Sudoku ( $puzzle['easy'] );
//$s = new Sudoku ( $puzzle['hard'] );
//$s = new Sudoku ( $puzzle['vhard'] );
set_time_limit( 10 );
$s = new Sudoku ( $puzzle['hardest'] );
//echo '<div style="float:left;">';
$s->solve();
//echo '</div>';
//echo '<div style="float:left;">';
$s->displayText();
//echo '</div>';
?>