题目:

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 '.'.


A partially filled sudoku which is valid.

Note:
A valid Sudoku board (partially filled) is not necessarily solvable. Only the filled cells need to be validated.


解题思路:分别对横向、纵向、小格子遍历即可。设一个set来表示已出现过的数字,并判断当前访问的数字是否在集合中(即判断是否已经出现过)。


代码:

class Solution {
public:
    bool isValidSudoku(vector<vector<char> > &board) {
        set<char> visited;
        for(int i=0;i<9;i++){
            visited.clear();
            for(int j=0;j<9;j++){
                if(visited.count(board[i][j])>0)return false;
                if(board[i][j]!='.'){
                    visited.insert(board[i][j]);
                }
            }
        }
        for(int i=0;i<9;i++){
            visited.clear();
            for(int j=0;j<9;j++){
                if(visited.count(board[j][i])>0)return false;
                if(board[j][i]!='.'){
                    visited.insert(board[j][i]);
                }
            }
        }
        for(int i=0;i<3;i++){
            for(int j=0;j<3;j++){
                visited.clear();
                for(int k=0;k<3;k++){
                    for(int l=0;l<3;l++){
                        if(visited.count(board[3*i+k][3*j+l])>0)return false;
                        if(board[3*i+k][3*j+l]!='.'){
                            visited.insert(board[3*i+k][3*j+l]);
                        }
                    }
                }
            }
        }
        return true;
    }
};