Determine if a 9x9 Sudoku board is valid. Only the filled cells need to be validated according to the following rules:
- Each row must contain the digits
1-9
without repetition.
- Each column must contain the digits
1-9
without repetition.
- Each of the 9
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:
- A Sudoku board (partially filled) could be valid but is not necessarily solvable.
- Only the filled cells need to be validated according to the mentioned rules.
- The given board contain only digits
1-9
and the character '.'
.
- The given board size is always
9x9
.
Java Solution :
class Solution {
public boolean isValidSudoku(char[][] board) {
if(board == null || board.length == 0)
return false;
HashMap<Integer,Integer> [] rows = new HashMap[9];
HashMap<Integer,Integer> [] cols = new HashMap[9];
HashMap<Integer,Integer> [] boxes = new HashMap[9];
for(int i = 0; i < 9 ; i++){
rows[i] = new HashMap<Integer,Integer>();
cols[i] = new HashMap<Integer,Integer>();
boxes[i] = new HashMap<Integer,Integer>();
}
int num =0;
for(int i =0 ; i < 9 ; i++){
for(int j=0; j < 9; j++){
char n = board[i][j];
if(board[i][j] != '.'){
num = (int)n;
int box_index = (i/3)*3 + j/3;
rows[i].put(num,rows[i].getOrDefault(num,0)+1);
cols[j].put(num,cols[j].getOrDefault(num,0)+1);
boxes[box_index].put(num,boxes[box_index].getOrDefault(num,0)+1);
if(rows[i].get(num) > 1 || cols[j].get(num) > 1 || boxes[box_index].get(num) > 1)
return false;
}
}
}
return true;
}
}