1 数独求解程序 php版
2
3 <?php
4 class Sudoku {
5 var $matrix;
6
7 function __construct($arr = null) {
8 if ($arr == null) {
9 $this->clear();
10 } else {
11 $this->matrix = $arr;
12 }
13 }
14
15 function clear() {
16 for($i=0; $i<9; $i++) {
17 for($j=0; $j<9; $j++) {
18 $this->matrix[$i][$j] = array();
19 for ($k = 1; $k <= 9; $k++) {
20 $this->matrix[$i][$j][$k] = $k;
21 }
22 }
23 }
24 }
25
26 function setCell($row, $col, $value){
27 $this->matrix[$row][$col] = array($value => $value);
28 //row
29 for($i = 0; $i < 9; $i++){
30 if($i != $col){
31 if(! $this->removeValue($row, $i, $value)) {
32 return false;
33 }
34 }
35 }
36 //col
37 for($i = 0; $i < 9; $i++){
38 if($i != $row){
39 if(! $this->removeValue($i, $col, $value)) {
40 return false;
41 }
42 }
43 }
44 //square
45 $rs=intval($row / 3) * 3;
46 $cs=intval($col / 3) * 3;
47
48 for($i = $rs; $i < $rs + 3; $i++){
49 for($j = $cs; $j < $cs + 3; $j++){
50 if($i != $row && $j != $col){
51 if(! $this->removeValue($i, $j, $value))
52 return false;
53 }
54 }
55 }
56 return true;
57 }
58
59 function removeValue($row, $col, $value) {
60 $count = count($this->matrix[$row][$col]);
61 if($count == 1){
62 $ret = !isset($this->matrix[$row][$col][$value]);
63 return $ret;
64 }
65 if (isset($this->matrix[$row][$col][$value])) {
66 unset($this->matrix[$row][$col][$value]);
67 if($count - 1 == 1) {
68 return $this->setCell($row, $col, current($this->matrix[$row][$col]));
69 }
70 }
71 return true;
72 }
73
74 function set($arr) {
75 for ($i = 0; $i < 9; $i++) {
76 for ($j = 0; $j < 9; $j++) {
77 if ($arr[$i][$j] > 0) {
78 $this->setCell($i, $j, $arr[$i][$j]);
79 }
80 }
81 }
82 }
83
84 function dump() {
85 for($i = 0; $i < 9; $i++){
86 for($j = 0; $j < 9; $j++){
87 $c = count($this->matrix[$i][$j]);
88 if($c == 1){
89 echo " ".current($this->matrix[$i][$j])." ";
90 } else {
91 echo "(".$c.")";
92 }
93 }
94 echo "\n";
95 }
96 echo "\n";
97 }
98
99 function dumpAll() {
100 for($i = 0; $i < 9; $i++){
101 for($j = 0; $j < 9; $j++){
102 echo implode(\'\', $this->matrix[$i][$j]), "\t";
103 }
104 echo "\n";
105 }
106 echo "\n";
107 }
108
109 function calc($data) {
110 $this->clear();
111 $this->set($data);
112 $this->_calc();
113 $this->dump();
114 }
115
116 function _calc() {
117 for($i = 0; $i < 9; $i++){
118 for($j = 0; $j < 9; $j++){
119 if(count($this->matrix[$i][$j]) == 1) {
120 continue;
121 }
122 foreach($this->matrix[$i][$j] as $v){
123 $flag = false;
124 $t = new Sudoku($this->matrix);
125 if(!$t->setCell($i, $j, $v)){
126 continue;
127 }
128 if(!$t->_calc()){
129 continue;
130 }
131 $this->matrix = $t->matrix;
132 return true;
133 }
134 return false;
135 }
136 }
137 return true;
138 }
139 }
140
141 $sd=new Sudoku;
142 $sd->calc(array(
143 array(0,5,0,0,0,6,0,9,0),
144 array(0,4,7,0,8,2,6,0,0),
145 array(0,8,0,0,0,7,0,5,2),
146 array(7,0,1,0,3,4,0,0,6),
147 array(0,3,0,0,2,0,0,8,0),
148 array(2,0,0,0,0,1,9,0,4),
149 array(4,7,0,1,0,0,0,6,0),
150 array(0,0,9,4,6,0,3,7,0),
151 array(0,1,0,2,0,0,0,4,0),
152 ));
153
154 $sd->calc(array(
155 array(1,0,0,0,0,6,9,0,0),
156 array(0,0,0,9,0,0,0,0,5),
157 array(2,0,0,1,0,0,0,0,3),
158 array(0,0,5,3,0,7,0,2,0),
159 array(3,0,0,6,0,0,0,0,1),
160 array(0,1,0,4,0,0,8,0,0),
161 array(9,0,0,0,0,2,0,0,7),
162 array(5,0,0,0,0,9,0,0,0),
163 array(0,0,3,7,0,0,0,0,4),
164 ));
165
166 $sd->calc(array(
167 array(7,0,0,1,0,0,0,0,5),
168 array(0,0,6,0,4,0,0,8,0),
169 array(0,0,1,0,0,0,0,0,0),
170 array(0,6,0,0,8,0,0,0,3),
171 array(0,8,0,0,0,9,0,7,0),
172 array(1,0,0,0,0,0,0,5,0),
173 array(0,0,0,0,0,0,9,0,0),
174 array(0,4,0,0,3,0,1,0,0),
175 array(9,0,0,0,0,7,0,0,2),
176 ));
177
178 $sd->calc(array(
179 array(0,5,0,0,0,0,0,2,0),
180 array(0,0,3,1,0,0,5,0,0),
181 array(0,0,6,0,0,8,0,0,0),
182 array(6,0,0,0,0,0,0,1,0),
183 array(8,0,0,6,0,0,0,0,4),
184 array(0,3,0,0,0,9,0,0,7),
185 array(0,0,0,5,0,0,3,0,0),
186 array(0,0,8,0,0,6,9,0,0),
187 array(0,9,0,0,0,0,0,7,0),
188 ));