数独求解程序 php版

 <?php

 class Sudoku {

     var $matrix;

     function __construct($arr = null) {

         if ($arr == null) {

             $this->clear();

         } else {

             $this->matrix = $arr;

         }

     }

     function clear() {

         for($i=0; $i<9; $i++) {

             for($j=0; $j<9; $j++) {

                 $this->matrix[$i][$j] = array();

                 for ($k = 1; $k <= 9; $k++) {

                     $this->matrix[$i][$j][$k] = $k;

                 }

             }

         }

     }

     function setCell($row, $col, $value){

         $this->matrix[$row][$col] = array($value => $value);

         //row

         for($i = 0; $i < 9; $i++){

             if($i != $col){

                 if(! $this->removeValue($row, $i, $value)) {

                     return false;

                 }

             }

         }

         //col

         for($i = 0; $i < 9; $i++){

             if($i != $row){

                 if(! $this->removeValue($i, $col, $value)) {

                     return false;

                 }

             }

         }

         //square

         $rs=intval($row / 3) * 3;

         $cs=intval($col / 3) * 3;

         for($i = $rs; $i < $rs + 3; $i++){

             for($j = $cs; $j < $cs + 3; $j++){

                 if($i != $row && $j != $col){

                     if(! $this->removeValue($i, $j, $value))

                         return false;

                 }

             }

         }

         return true;

     }

     function removeValue($row, $col, $value) {

         $count = count($this->matrix[$row][$col]);

         if($count == 1){

             $ret = !isset($this->matrix[$row][$col][$value]);

             return $ret;

         }

         if (isset($this->matrix[$row][$col][$value])) {

             unset($this->matrix[$row][$col][$value]);

             if($count - 1 == 1) {

                 return $this->setCell($row, $col, current($this->matrix[$row][$col]));

             }

         }

         return true;

     }

     function set($arr) {

         for ($i = 0; $i < 9; $i++) {

             for ($j = 0; $j < 9; $j++) {

                 if ($arr[$i][$j] > 0) {

                     $this->setCell($i, $j, $arr[$i][$j]);

                 }

             }

         }

     }

     function dump() {

         for($i = 0; $i < 9; $i++){

             for($j = 0; $j < 9; $j++){

                 $c = count($this->matrix[$i][$j]);

                 if($c == 1){

                     echo " ".current($this->matrix[$i][$j])." ";

                 } else {

                     echo "(".$c.")";

                 }

             }

             echo "\n";

         }

         echo "\n";

     }

     function dumpAll() {

         for($i = 0; $i < 9; $i++){

             for($j = 0; $j < 9; $j++){

                 echo implode('', $this->matrix[$i][$j]), "\t";

             }

             echo "\n";

         }

         echo "\n";

     }

     function calc($data) {

         $this->clear();

         $this->set($data);

         $this->_calc();

         $this->dump();

     }

     function _calc() {

         for($i = 0; $i < 9; $i++){

             for($j = 0; $j < 9; $j++){

                 if(count($this->matrix[$i][$j]) == 1) {

                     continue;

                 }

                 foreach($this->matrix[$i][$j] as $v){

                     $flag = false;

                     $t = new Sudoku($this->matrix);

                     if(!$t->setCell($i, $j, $v)){

                         continue;

                     }

                     if(!$t->_calc()){

                         continue;

                     }

                     $this->matrix = $t->matrix;

                     return true;

                 }

                 return false;

             }

         }

         return true;

     }

 }

 $sd=new Sudoku;

 $sd->calc(array(

 array(0,5,0,0,0,6,0,9,0),

 array(0,4,7,0,8,2,6,0,0),

 array(0,8,0,0,0,7,0,5,2),

 array(7,0,1,0,3,4,0,0,6),

 array(0,3,0,0,2,0,0,8,0),

 array(2,0,0,0,0,1,9,0,4),

 array(4,7,0,1,0,0,0,6,0),

 array(0,0,9,4,6,0,3,7,0),

 array(0,1,0,2,0,0,0,4,0),

 ));

 $sd->calc(array(

 array(1,0,0,0,0,6,9,0,0),

 array(0,0,0,9,0,0,0,0,5),

 array(2,0,0,1,0,0,0,0,3),

 array(0,0,5,3,0,7,0,2,0),

 array(3,0,0,6,0,0,0,0,1),

 array(0,1,0,4,0,0,8,0,0),

 array(9,0,0,0,0,2,0,0,7),

 array(5,0,0,0,0,9,0,0,0),

 array(0,0,3,7,0,0,0,0,4),

 ));

 $sd->calc(array(

 array(7,0,0,1,0,0,0,0,5),

 array(0,0,6,0,4,0,0,8,0),

 array(0,0,1,0,0,0,0,0,0),

 array(0,6,0,0,8,0,0,0,3),

 array(0,8,0,0,0,9,0,7,0),

 array(1,0,0,0,0,0,0,5,0),

 array(0,0,0,0,0,0,9,0,0),

 array(0,4,0,0,3,0,1,0,0),

 array(9,0,0,0,0,7,0,0,2),

 ));

 $sd->calc(array(

 array(0,5,0,0,0,0,0,2,0),

 array(0,0,3,1,0,0,5,0,0),

 array(0,0,6,0,0,8,0,0,0),

 array(6,0,0,0,0,0,0,1,0),

 array(8,0,0,6,0,0,0,0,4),

 array(0,3,0,0,0,9,0,0,7),

 array(0,0,0,5,0,0,3,0,0),

 array(0,0,8,0,0,6,9,0,0),

 array(0,9,0,0,0,0,0,7,0),

 ));