valid-sudoku.cpp

// Time:  O(9^2)
// Space: O(9)

class Solution {
public:
    /**
     * @param board: the board
     * @return: wether the Sudoku is valid
     */
    bool isValidSudoku(const vector<vector<char>>& board) {
        // Check row constraints.
        for (int i = 0; i < board.size(); ++i) {
            if (anyDuplicate(board, i, i + 1, 0, board.size(), board.size())) {
                return false;
            }
        }

        // Check column constraints.
        for (int j = 0; j < board.size(); ++j) {
            if (anyDuplicate(board, 0, board.size(), j, j + 1, board.size())) {
                return false;
            }
        }

        // Check region constraints.
        int region_size = sqrt(board.size());
        for (int i = 0; i < region_size; ++i) {
            for (int j = 0; j < region_size; ++j) {
                if (anyDuplicate(board, region_size * i, region_size * (i + 1),
                                 region_size * j, region_size * (j + 1), board.size())) {
                    return false;
                }
            }
        }
        return true;
    }

    // Return true if subarray board[start_row : end_row - 1][start_col : end_col - 1]
    // contains any duplicates in [1 : num_elements]; otherwise return false.
    bool anyDuplicate(const vector<vector<char>>& board, int start_row, int end_row,
                      int start_col, int end_col, int num_elements) {
        vector<bool> is_present(num_elements + 1, false);
        for (int i = start_row; i < end_row; ++i) {
            for (int j = start_col; j < end_col; ++j) {
                if (board[i][j] != '.') {
                    if (is_present[board[i][j] - '0']) {
                        return true;
                    }
                    is_present[board[i][j] - '0'] = true;
                }
            }
        }
        return false;
    }
};