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【33.有效的数独】
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。
提示:
board.length == 9
board[i].length == 9
board[i][j] 是一位数字(1-9)或者 '.'
class Solution {
public boolean isValidSudoku(char[][] board) {
for(int i=0;i<9;i++){
boolean[] isExit1 = new boolean[9];
for(int j=0;j<9;j++){
if(board[i][j] == '.'){
continue;
}
int num = board[i][j] - '1';
if(isExit1[num]){
return false;
}else{
isExit1[num] = true;
}
}
}
for(int i=0;i<9;i++){
boolean[] isExit2 = new boolean[9];
for(int j=0;j<9;j++){
if(board[j][i] == '.'){
continue;
}
int num = board[j][i] - '1';
if(isExit2[num]){
return false;
}else{
isExit2[num] = true;
}
}
}
for(int i=0;i<9;i+=3){
for(int j=0;j<9;j+=3){
boolean[] isExit3 = new boolean[9];
for(int x=0;x<3;x++){
for(int y=0;y<3;y++){
if(board[i+x][j+y] == '.'){
continue;
}
int num = board[i+x][j+y] - '1';
if(isExit3[num]){
return false;
}else{
isExit3[num] = true;
}
}
}
}
}
return true;
}
}