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[37]_Sudoku_Solver.cpp
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82 lines (79 loc) · 2.24 KB
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//https://leetcode.com/problems/sudoku-solver/
#include <vector>
#include <iostream>
using namespace std;
class Solution {
public:
//map<int,bool> mp_row[9],mp_col[9],mp_9[3][3];
bool mp_row[9][9+1],mp_col[9][9+1],mp_9[3][3][9+1];
bool ok=false;
void init(vector<vector<char>>& bd){
for(int i=0;i<9;++i){
for(int j=1;j<=9;++j){
mp_row[i][j]=false;
mp_col[i][j]=false;
}
}
for(int i=0;i<3;++i){
for(int j=0;j<3;++j){
for(int k=1;k<=9;++k){
mp_9[i][j][k]=false;
}
}
}
int tmp;
for(int i=0;i<9;++i){
for(int j=0;j<9;++j){
if(bd[i][j]!='.'){
tmp=(int)(bd[i][j]-'0');
mp_row[i][tmp]=true;
mp_col[j][tmp]=true;
mp_9[i/3][j/3][tmp]=true;
}
}
}
}
//喜闻乐见的数独游戏, dfs搜索+剪枝
void dfs(vector<vector<char>>& bd,int m,int n){
if(ok) return;
if(m==8&&n==9){
ok=true;
// for(int i=0;i<9;++i){
// for(int j=0;j<9;++j){
// cout<<bd[i][j]<<" ";
// }
// cout<<endl;
// }
return;
}
if(n==9){
dfs(bd,m+1,0);
return;
}
if(bd[m][n]=='.'){
for(int i=9;i>=1;--i){
if(!mp_row[m][i]&&!mp_col[n][i]&&!mp_9[m/3][n/3][i]){
mp_row[m][i]=true;
mp_col[n][i]=true;
mp_9[m/3][n/3][i]=true;
bd[m][n]=(char)(i+'0');
dfs(bd,m,n+1);
if(ok) return;
bd[m][n]='.';
mp_row[m][i]=false;
mp_col[n][i]=false;
mp_9[m/3][n/3][i]=false;
}
}
}else{
dfs(bd,m,n+1);
}
}
void solveSudoku(vector<vector<char>>& board) {
init(board);
// for(int i=1;i<=9;++i){
// cout<<(mp_9[2][2][i]==true?i:-1)<<endl;
// }
dfs(board,0,0);
}
};