请你判断一个 9 x 9 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。(请参考示例图)
注意:
一个有效的数独(部分已被填充)不一定是可解的。
只需要根据以上规则,验证已经填入的数字是否有效即可。
空白格用 '.' 表示。
示例 1:

输入:board =
[["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
示例 2:
输入:board =
[["8","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:false
解释:除了第一行的第一个数字从 5 改为 8 以外,空格内其他数字均与 示例1 相同。 但由于位于左上角的 3x3 宫内有两个 8 存在, 因此这个数独是无效的。
思路:
首先先检测行,然后检测列,最后检测三比三小格里面的东西
无论是检测行还是列都可以用标记的方法,设立一个数组flag,如果在那一行中flag[1]出现一次,那么flag[1]就++,最后检测,如果最后对应的值是2就返回false
三比三小格是固定的,在固定范围里面用行或者列覆盖就可以了
代码:
bool isValidSudoku(char** board, int boardSize, int* boardColSize){
int count = 0;
int *flag = (int*)malloc(sizeof(int) * 10);
for(int i = 0; i < 9; i++){
for(int k = 0; k <= 9; k++)flag[k] = 0;
for(int j = 0; j < 9; j++){
if(board[i][j] != '.'){
flag[board[i][j] - 48]++;
if(flag[board[i][j] - 48] == 2)return false;
}
}
}
for(int i = 0; i < 9; i++){
for(int k = 0; k <= 9; k++)flag[k] = 0;
for(int j = 0; j < 9; j++){
if(board[j][i] != '.'){
flag[board[j][i] - 48]++;
if(flag[board[j][i] - 48] == 2)return false;
}
}
}
for(int i = 0; i < 7; i += 3){
for(int k = 0; k <= 9; k++)flag[k] = 0;
for(int j = 0; j < 9; j++){
if(count % 3 == 0)
for(int k = 0; k <= 9; k++)flag[k] = 0;
if(board[i][j] != '.'){
flag[board[i][j] - 48]++;
if(flag[board[i][j] - 48] == 2)return false;
}
if(board[i + 1][j] != '.'){
flag[board[i + 1][j] - 48]++;
if(flag[board[i + 1][j] - 48] == 2)return false;
}
if(board[i + 2][j] != '.'){
flag[board[i + 2][j] - 48]++;
if(flag[board[i + 2][j] - 48] == 2)return false;
}
count++;
}
}
return true;
}
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