解数独算法--C++实现
#include <iostream> using namespace std; //可选数字 int candidate[] = {1,2,3,4,5,6,7,8,9}; //标记这个空格是否为原始数据 int g_a[9][9] = {0}; //打印函数 void print( int (*a)[9] ) { for( int i = 0; i < 9; i++ ) { for( int j = 0; j < 9; j++ ) { cout << a[i][j] << " "; } cout << endl; } cout << endl; } //判断可以放哪些数字 void ConfirmCandidate( int (*a)[9], int i, int j ) { for( int i_candidate = 0; i_candidate < 9; i_candidate++ ) candidate[i_candidate] = i_candidate+1; for( int colm = 0; colm < 9; colm++ ) { if( a[i][colm] != 0 ) candidate[a[i][colm]-1] = 0; } for( int line = 0; line < 9; line++ ) { if( a[line][j] != 0 ) candidate[a[line][j]-1] = 0; } for( int line = i/3*3; line < i/3*3+3; line++ ) { for( int colm = j/3*3; colm < j/3*3+3; colm++ ) if( a[line][colm] != 0 ) candidate[a[line][colm]-1] = 0; } } //标记每个空格位置 void TotalNumbers( int (*a)[9], int i, int j ) { for( int line = 0; line < i; line++ ) { for( int colm = 0; colm < j; colm++ ) if( a[line][colm] == 0 ) { g_a[line][colm] = 1; } } } //判断所填数字是否正确 bool JudgeValue( int (*a)[9],int i, int j ) { //同一行有无重复数字 for( int colm = 0; colm < 9; colm++ ) { if( a[i][colm] == a[i][j] && j != colm ) return false; } //同一列有无重复数字 for( int line = 0; line < 9; line++ ) { if( a[line][j] == a[i][j] && i != line ) return false; } //一个3*3的方格内有无重复数字 for( int line = i/3*3; line < i/3*3+3; line++ ) { for( int colm = j/3*3; colm < j/3*3+3; colm++ ) if( a[line][colm] == a[i][j] && i != line && j != colm ) return false; } return true; } //判断是否成功 bool success( int(*a)[9], int i, int j ) { if( i < 0 || j < 0 ) return false; int line = i; int colm = j; for( ; line < 9; line++, colm = 0 ) { for( ; colm < 9; colm++ ) { //cout << "line = " << line <<" colm = " << colm << endl; //if( colm == 8 && line == 8 ) return true; if( a[line][colm] != 0 && g_a[line][colm] == 0 ) continue; ConfirmCandidate(a, line, colm); for(int c = 0; c < 9; c++ ) { if( candidate[c] > a[line][colm] ) { a[line][colm] = candidate[c]; /* *TEST *测试可选数字 */ /* for(int i = 0; i < 9; i++ ) cout << candidate[i] << " "; cout << endl << endl; */ //print(a); //判断放入的值是否正确 bool bRet = JudgeValue( a, line, colm ); if(!bRet) { //cout << "bRet is false" << endl; } else{ //cout << "bRet is true" << endl; break; } } else if( c == 8 && candidate[c] <= a[line][colm] ) { //cout << "line = " << line <<" colm = " << colm << endl; int set_colm = 8; a[line][colm] = 0; if( colm == 0 ) { while( g_a[line-1][set_colm] == 0) { if( set_colm == 0) { line--; set_colm = 8; } else set_colm--; } return success( a, line - 1, set_colm); } else{ while( g_a[line][colm-1] == 0) { if( set_colm == 0) { line--; set_colm = 8; } else colm--; } return success( a ,line, colm-1 ); } } } } } return true; } http://www.shengshiyouxi.com int main() { //initialization int a[9][9] = { {8,0,0,0,0,0,0,0,0}, {0,0,3,6,0,0,0,0,0}, {0,7,0,0,9,0,2,0,0}, {0,5,0,0,0,7,0,0,0}, {0,0,0,0,4,5,7,0,0}, {0,0,7,1,0,0,0,3,0}, {0,0,1,0,0,0,0,6,8}, {0,0,8,5,0,0,0,1,0}, {0,9,0,0,0,0,4,0,0} }; //test /* int a[9][9] = { {8,0,0,0,0,0,0,0,0}, {0,0,0,0,0,0,0,0,0}, {0,0,0,0,0,0,0,0,0}, {0,0,0,0,0,0,0,0,0}, {0,0,0,0,0,0,0,0,0}, {0,0,0,0,0,0,0,0,0}, {0,0,0,0,0,0,0,6,8}, {0,0,0,0,0,0,0,0,0}, {0,0,0,0,0,0,0,0,0} }; */ TotalNumbers( a, 9, 9 ); success( a, 0, 0 ); print(a); }
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