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#36 - Valid Sudoku

Problem Description

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.

The Sudoku board could be partially filled, where empty cells are filled with the character '.'.

Solution

/**
 * @param {character[][]} board
 * @return {boolean}
 */
var isValidSudoku = function(board) {
  const rows = new Array(9).fill().map(() => new Set());
  const columns = new Array(9).fill().map(() => new Set());
  const boxes = new Array(9).fill().map(() => new Set());

  for (let i = 0; i < 9; i++) {
    for (let j = 0; j < 9; j++) {
      const value = board[i][j];
      const k = Math.floor(i / 3) * 3 + Math.floor(j / 3);
      const options = [rows[i], columns[j], boxes[k]];

      if (options.some(option => option.has(value))) return false;
      if (value !== '.') options.forEach(option => option.add(value));
    }
  }

  return true;
};