求解数独 用数独求解
\u8fd9\u4e2a\u6570\u72ec\u600e\u4e48\u89e3\u8fd9\u4e2a\u6570\u72ec\u7b54\u6848\uff1a
2\u30014\u30017\u30015\u30016\u30018\u30019\u30013\u30011
1\u30019\u30015\u30013\u30014\u30012\u30016\u30017\u30018
8\u30016\u30013\u30011\u30019\u30017\u30012\u30014\u30015
9\u30015\u30018\u30017\u30013\u30014\u30011\u30012\u30016
3\u30011\u30012\u30016\u30018\u30015\u30014\u30019\u30017
6\u30017\u30014\u30012\u30011\u30019\u30015\u30018\u30013
4\u30013\u30019\u30018\u30015\u30011\u30017\u30016\u30012
5\u30012\u30016\u30014\u30017\u30013\u30018\u30011\u30019
7\u30018\u30011\u30019\u30012\u30016\u30013\u30015\u30014\u3002
import java.util.Scanner;
public class Sudoku {
int result = 0;// \u7ed3\u679c\u6570
public static void main(String[] args) {
int[][] a = new int[9][9];
Scanner scan = new Scanner(System.in);
System.out.printf("\u8bf7\u8f93\u5165\u6570\u72ec\u4e2d\u7684\u539f\u59cb\u6570\u636e\uff0c\u6ca1\u6709\u6570\u636e\u7684\u75280\u4ee3\u66ff\u3002\n");
for (int i = 0; i < 9; i++) {
System.out.printf("\u8bf7\u8f93\u5165\u7b2c%d\u884c\u76849\u4e2a\u6570\uff1a", i + 1);
for (int j = 0; j < 9; j++)
// a[i][j] = j+1;
a[i][j] = scan.nextInt();
}
//
// int[][] t = new int[a.length][];
// for(int i=0;i<a.length;i++){
// t[i]=new int[a[i].length];
// }
//
// for (int i = 0; i < 9; i++) {
// // System.out.printf("\u8bf7\u8f93\u5165\u7b2c%d\u884c\u76849\u4e2a\u6570\uff1a", i + 1);
// for (int j = 0; j < 9; j++)
// t[i][j]=a[i][j];
// }
Sudoku sudoku = new Sudoku();
// System.out.println("+++++++++++++++++++++++++++");
// sudoku.print(t);
// System.out.println("+++++++++++++++++++++++++++");
System.out.println("\u6570\u72ec\u7684\u89e3\u4e3a\uff1a");
sudoku.sudoku(a, 0);
if (sudoku.result == 0) {
System.out.println("\u6b64\u6570\u72ec\u65e0\u89e3!");
}
}
// \u6570\u72ec\u6c42\u89e3\u51fd\u6570
public void sudoku(int[][] a, int n) {
int[][] temp = new int[a.length][a[0].length];
int i, j;
for (i = 0; i < 9; i++) {
for (j = 0; j < 9; j++) {
temp[i][j] = a[i][j];
}
}
i = n / 9;
j = n % 9; // \u6c42\u51fa\u7b2cn\u4e2a\u6570\u7684\u884c\u6570\u548c\u5217\u6570
if (a[i][j] != 0) { // \u5df2\u7ecf\u6709\u539f\u59cb\u6570\u636e
if (n == 80) { // \u662f\u6700\u540e\u4e00\u4e2a\u683c\u5b50\uff0c\u8f93\u51fa\u53ef\u884c\u89e3
print(temp);
} else { // \u4e0d\u662f\u6700\u540e\u4e00\u4e2a\u683c\u5b50\uff0c\u6c42\u4e0b\u4e00\u4e2a\u683c\u5b50
sudoku(temp, n + 1);
}
} else { // \u6ca1\u6709\u6570\u636e
for (int k = 1; k <= 9; k++) {
boolean flag = check(temp, i, j, k);
if (flag) // \u7b2ci\u884c\u3001\u7b2cj\u5217\u53ef\u4ee5\u662fk
{
temp[i][j] = k; // \u8bbe\u4e3ak
if (n == 80) {
print(temp);
} else {
sudoku(temp, n + 1);
}
temp[i][j] = 0; // \u6062\u590d\u4e3a0\uff0c\u5224\u65ad\u4e0b\u4e00\u4e2ak
}
}
}
}
// \u8f93\u51fa\u53ef\u884c\u7684\u89e3
public void print(int[][] a) {
result++;
System.out.printf("\u7b2c%d\u4e2a\u586b\u6cd5\u4e3a\uff1a\n", result);
for (int i = 0; i < 9; i++) {
for (int j = 0; j < 9; j++) {
System.out.printf("%d ", a[i][j]);
if ((j == 2) || (j == 5)) {
System.out.printf(" ");
}
}
System.out.printf("\n");
if ((i == 2) || (i == 5)) {
System.out.printf("\n");
}
}
System.out.printf("\n");
}
// \u5224\u65ad\u662f\u5426\u53ef\u4ee5\u5c06\u7b2ci\u884c\u3001\u7b2cj\u5217\u7684\u6570\u8bbe\u4e3ak
public boolean check(int[][] a, int i, int j, int k) {
int m, n;
// \u5224\u65ad\u884c
for (n = 0; n < 9; n++) {
if (a[i][n] == k) {
return false;
}
}
// \u5224\u65ad\u5217
for (m = 0; m < 9; m++) {
if (a[m][j] == k) {
return false;
}
}
// \u5224\u65ad\u6240\u5728\u5c0f\u4e5d\u5bab\u683c
int t1 = (i / 3) * 3;
int t2 = (j / 3) * 3;
for (m = t1; m < t1 + 3; m++) {
for (n = t2; n < t2 + 3; n++) {
if (a[m][n] == k) {
return false;
}
}
}
// \u53ef\u884c\uff0c\u8fd4\u56detrue
return true;
}
}
答案如下
.---------.---------.---------.
| 7 3 1 | 5 2 9 | 6 4 8 |
| 5 8 6 | 4 7 1 | 9 3 2 |
| 2 9 4 | 3 6 8 | 5 7 1 |
:---------+---------+---------:
| 1 2 3 | 9 4 6 | 7 8 5 |
| 6 4 8 | 7 5 2 | 1 9 3 |
| 9 7 5 | 1 8 3 | 4 2 6 |
:---------+---------+---------:
| 4 1 7 | 8 3 5 | 2 6 9 |
| 3 6 9 | 2 1 7 | 8 5 4 |
| 8 5 2 | 6 9 4 | 3 1 7 |
'---------'---------'---------'
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