数独求解程序 php版
1 <?php
2 class Sudoku {
3 var $matrix;
4
5 function __construct($arr = null) {
6 if ($arr == null) {
7 $this->clear();
8 } else {
9 $this->matrix = $arr;
10 }
11 }
12
13 function clear() {
14 for($i=0; $i<9; $i++) {
15 for($j=0; $j<9; $j++) {
16 $this->matrix[$i][$j] = array();
17 for ($k = 1; $k <= 9; $k++) {
18 $this->matrix[$i][$j][$k] = $k;
19 }
20 }
21 }
22 }
23
24 function setCell($row, $col, $value){
25 $this->matrix[$row][$col] = array($value => $value);
26 //row
27 for($i = 0; $i < 9; $i++){
28 if($i != $col){
29 if(! $this->removeValue($row, $i, $value)) {
30 return false;
31 }
32 }
33 }
34 //col
35 for($i = 0; $i < 9; $i++){
36 if($i != $row){
37 if(! $this->removeValue($i, $col, $value)) {
38 return false;
39 }
40 }
41 }
42 //square
43 $rs=intval($row / 3) * 3;
44 $cs=intval($col / 3) * 3;
45
46 for($i = $rs; $i < $rs + 3; $i++){
47 for($j = $cs; $j < $cs + 3; $j++){
48 if($i != $row && $j != $col){
49 if(! $this->removeValue($i, $j, $value))
50 return false;
51 }
52 }
53 }
54 return true;
55 }
56
57 function removeValue($row, $col, $value) {
58 $count = count($this->matrix[$row][$col]);
59 if($count == 1){
60 $ret = !isset($this->matrix[$row][$col][$value]);
61 return $ret;
62 }
63 if (isset($this->matrix[$row][$col][$value])) {
64 unset($this->matrix[$row][$col][$value]);
65 if($count - 1 == 1) {
66 return $this->setCell($row, $col, current($this->matrix[$row][$col]));
67 }
68 }
69 return true;
70 }
71
72 function set($arr) {
73 for ($i = 0; $i < 9; $i++) {
74 for ($j = 0; $j < 9; $j++) {
75 if ($arr[$i][$j] > 0) {
76 $this->setCell($i, $j, $arr[$i][$j]);
77 }
78 }
79 }
80 }
81
82 function dump() {
83 for($i = 0; $i < 9; $i++){
84 for($j = 0; $j < 9; $j++){
85 $c = count($this->matrix[$i][$j]);
86 if($c == 1){
87 echo " ".current($this->matrix[$i][$j])." ";
88 } else {
89 echo "(".$c.")";
90 }
91 }
92 echo "\n";
93 }
94 echo "\n";
95 }
96
97 function dumpAll() {
98 for($i = 0; $i < 9; $i++){
99 for($j = 0; $j < 9; $j++){
100 echo implode('', $this->matrix[$i][$j]), "\t";
101 }
102 echo "\n";
103 }
104 echo "\n";
105 }
106
107 function calc($data) {
108 $this->clear();
109 $this->set($data);
110 $this->_calc();
111 $this->dump();
112 }
113
114 function _calc() {
115 for($i = 0; $i < 9; $i++){
116 for($j = 0; $j < 9; $j++){
117 if(count($this->matrix[$i][$j]) == 1) {
118 continue;
119 }
120 foreach($this->matrix[$i][$j] as $v){
121 $flag = false;
122 $t = new Sudoku($this->matrix);
123 if(!$t->setCell($i, $j, $v)){
124 continue;
125 }
126 if(!$t->_calc()){
127 continue;
128 }
129 $this->matrix = $t->matrix;
130 return true;
131 }
132 return false;
133 }
134 }
135 return true;
136 }
137 }
138
139 $sd=new Sudoku;
140 $sd->calc(array(
141 array(0,5,0,0,0,6,0,9,0),
142 array(0,4,7,0,8,2,6,0,0),
143 array(0,8,0,0,0,7,0,5,2),
144 array(7,0,1,0,3,4,0,0,6),
145 array(0,3,0,0,2,0,0,8,0),
146 array(2,0,0,0,0,1,9,0,4),
147 array(4,7,0,1,0,0,0,6,0),
148 array(0,0,9,4,6,0,3,7,0),
149 array(0,1,0,2,0,0,0,4,0),
150 ));
151
152 $sd->calc(array(
153 array(1,0,0,0,0,6,9,0,0),
154 array(0,0,0,9,0,0,0,0,5),
155 array(2,0,0,1,0,0,0,0,3),
156 array(0,0,5,3,0,7,0,2,0),
157 array(3,0,0,6,0,0,0,0,1),
158 array(0,1,0,4,0,0,8,0,0),
159 array(9,0,0,0,0,2,0,0,7),
160 array(5,0,0,0,0,9,0,0,0),
161 array(0,0,3,7,0,0,0,0,4),
162 ));
163
164 $sd->calc(array(
165 array(7,0,0,1,0,0,0,0,5),
166 array(0,0,6,0,4,0,0,8,0),
167 array(0,0,1,0,0,0,0,0,0),
168 array(0,6,0,0,8,0,0,0,3),
169 array(0,8,0,0,0,9,0,7,0),
170 array(1,0,0,0,0,0,0,5,0),
171 array(0,0,0,0,0,0,9,0,0),
172 array(0,4,0,0,3,0,1,0,0),
173 array(9,0,0,0,0,7,0,0,2),
174 ));
175
176 $sd->calc(array(
177 array(0,5,0,0,0,0,0,2,0),
178 array(0,0,3,1,0,0,5,0,0),
179 array(0,0,6,0,0,8,0,0,0),
180 array(6,0,0,0,0,0,0,1,0),
181 array(8,0,0,6,0,0,0,0,4),
182 array(0,3,0,0,0,9,0,0,7),
183 array(0,0,0,5,0,0,3,0,0),
184 array(0,0,8,0,0,6,9,0,0),
185 array(0,9,0,0,0,0,0,7,0),
186 ));
