Determine if a Sudoku is valid, according to: Sudoku Puzzles - The Rules.
The Sudoku board could be partially filled, where empty cells are filled with the character '.'
.
分析:利用map来判断
Brute Force解法。
1)每一行是否有重复的数;
2)每一列是否有重复的数;
3)每一个9宫是否有重复的数。
可以利用Map来判断是否重复。
class Solution {
public:
bool isValidSudoku(vector<vector<char> > &board) {
vector<map<char,int>> Sudoku(27);
for(int i=0;i<9;++i){ //行相等判断
for(int j=0;j<9;++j){
if(board[i][j]=='.')
continue;
if(board[i][j]>'9'||board[i][j]<'0')
return false;
if((Sudoku[i])[board[i][j]]>0)
return false;
(Sudoku[i])[board[i][j]]++;
}
}
for(int i=0;i<9;++i){//列相等判断
for(int j=0;j<9;++j){
if(board[j][i]=='.')
continue;
if((Sudoku[i+9])[board[j][i]]>0)
return false;
(Sudoku[i+9])[board[j][i]]++;
}
}
int it=0; //每个单元格相等判断
while(it<9){//迭代9次
for(int i=(it%3)*3;i<(it%3)*3+3;++i){
for(int j=(it/3)*3;j<(it/3)*3+3;++j){
if(board[i][j]=='.')
continue;
if((Sudoku[it+18])[board[i][j]]>0)
return false;
(Sudoku[it+18])[board[i][j]]++;
}
}
++it;
}
return true;
}
};