判断一个 9x9 的数独是否有效。只需要根据以下规则,验证已经填入的数字是否有效即可。
数字 1-9 在每一行只能出现一次。
数字 1-9 在每一列只能出现一次。
数字 1-9 在每一个以粗实线分隔的 3x3 宫内只能出现一次。
链接:https://leetcode-cn.com/problems/valid-sudoku
输入:
[
["5","3",".",".","7",".",".",".","."],
["6",".",".","1","9","5",".",".","."],
[".","9","8",".",".",".",".","6","."],
["8",".",".",".","6",".",".",".","3"],
["4",".",".","8",".","3",".",".","1"],
["7",".",".",".","2",".",".",".","6"],
[".","6",".",".",".",".","2","8","."],
[".",".",".","4","1","9",".",".","5"],
[".",".",".",".","8",".",".","7","9"]
]
输出: true
class Solution {
public:
bool isValidSudoku(vector<vector<char>>& board) {
vector<unordered_map<int, int>> rows(9), cols(9), blocks(9);
for (int i = 0; i < 9; i++) {
for (int j = 0; j < 9; j++) {
if (board[i][j] == '.') continue;
int blo_index = (i/3)*3 + (j/3);
int cur = board[i][j] - '0'; //字符转成Int
if (rows[i].count(cur) || cols[j].count(cur) || blocks[blo_index].count(cur))
return false;
rows[i][cur] = 1; //行记录一次
cols[j][cur] = 1; //列记录一次
blocks[blo_index][cur] = 1; //块记录一次
}
}
return true;
}
};
//可简化成二维数组的形式,用二维数组记录状态。