Valid Sudoku
Problem Description
Determine if a 9 x 9 Sudoku board is valid. Only the filled cells need to be validated according to the following rules:
- Each row must contain the digits
1-9without repetition. - Each column must contain the digits
1-9without repetition. - Each of the nine
3 x 3sub-boxes of the grid must contain the digits1-9without repetition.
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.
Example 1:
Input: 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"]] Output: true
Example 2:
Input: 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"]] 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.
Constraints:
board.length == 9board[i].length == 9board[i][j]is a digit1-9or'.'.
Solution (JavaScript)
/**
* @param {character[][]} board
* @return {boolean}
*/
var isValidSudoku = function(board) {
let map = new Map();
function getKeys(x, y) {
const row = 'r' + y;
const col = 'c' + x;
const sqr = '' + Math.floor(x/3) + Math.floor(y/3);
return [row, col, sqr];
}
for(let i = 0; i < 9; i++){
for(let j = 0; j < 9; j++) {
const s = board[i][j];
if(s !== '.'){
const arr = getKeys(i, j);
for(let a of arr) {
if(!map.has(a)){
map.set(a, new Map());
}
if(map.get(a).has(s)){
return false;
} else {
map.get(a).set(s, 1);
}
}
}
}
}
return true;
};