Determine if a 9x9 Sudoku board is valid. Only the filled cells need to be validated according to the following rules:
1-9
without repetition.1-9
without repetition.3x3
sub-boxes of the grid must contain the digits 1-9
without repetition.
A partially filled sudoku which is valid.
The Sudoku board could be partially filled, where empty cells are filled with the character '.'
.
Example 1:
Input: [ ["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"] ] Output: true
Example 2:
Input: [ ["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"] ] Output: false Explanation: Same as Example 1, except with the 5 in the top left corner being modified to 8. Since there are two 8's in the top left 3x3 sub-box, it is invalid.
Note:
1-9
and the character '.'
.9x9
.import java.util.Arrays;
class num36 {
public boolean isValidSudoku(char[][] board) {
for(int i=0; i<9; i++){
if(!isValid(board, i, i+1, 0, 9)) return false;
}
for(int i=0; i<9; i++){
if(!isValid(board, 0, 9, i, i+1)) return false;
}
for(int i=0; i<3; i++){
for(int j=0; j<3; j++){
if(!isValid(board, i*3, (i+1)*3, j*3, (j+1)*3)) return false;
}
}
return true;
}
public boolean isValid(char[][] board, int rlow, int rhigh, int clow, int chigh){
boolean[] used = new boolean[10];
for(int i=rlow; i