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| 1 | +class Solution: |
| 2 | + def solveSudoku(self, board: List[List[str]]) -> None: |
| 3 | + """ |
| 4 | + Do not return anything, modify board in-place instead. |
| 5 | + """ |
| 6 | + board_squares = [[set(), set(), set()] for _ in range(3)] |
| 7 | + board_rows = [set() for _ in range(9)] |
| 8 | + board_cols = [set() for _ in range(9)] |
| 9 | + |
| 10 | + for r in range(9) : |
| 11 | + for c in range(9) : |
| 12 | + if board[r][c] == '.' : |
| 13 | + continue |
| 14 | + board_squares[r // 3][c // 3].add(board[r][c]) |
| 15 | + board_rows[r].add(board[r][c]) |
| 16 | + board_cols[c].add(board[r][c]) |
| 17 | + |
| 18 | + self._helper(board, board_squares, board_rows, board_cols) |
| 19 | + |
| 20 | + def _helper(self, |
| 21 | + board: List[List[str]], |
| 22 | + board_squares, |
| 23 | + board_rows, |
| 24 | + board_cols, |
| 25 | + r: int = 0, |
| 26 | + c: int = 0) -> bool : |
| 27 | + if r >= 9 : |
| 28 | + return True |
| 29 | + |
| 30 | + c_next = c + 1 |
| 31 | + r_next = r |
| 32 | + if c_next > 8 : |
| 33 | + c_next %= 9 |
| 34 | + r_next += 1 |
| 35 | + |
| 36 | + if board[r][c] != '.' : |
| 37 | + return self._helper(board, board_squares, board_rows, board_cols, r_next, c_next) |
| 38 | + for candidate in range(1, 10) : |
| 39 | + candidate_str = str(candidate) |
| 40 | + if ( |
| 41 | + candidate_str in board_squares[r // 3][c // 3] or |
| 42 | + candidate_str in board_rows[r] or |
| 43 | + candidate_str in board_cols[c] |
| 44 | + ) : |
| 45 | + continue |
| 46 | + |
| 47 | + board[r][c] = candidate_str |
| 48 | + |
| 49 | + board_squares[r // 3][c // 3].add(candidate_str) |
| 50 | + board_rows[r].add(candidate_str) |
| 51 | + board_cols[c].add(candidate_str) |
| 52 | + |
| 53 | + |
| 54 | + if self._helper(board, board_squares, board_rows, board_cols, r_next, c_next) : |
| 55 | + return True |
| 56 | + |
| 57 | + board_squares[r // 3][c // 3].remove(candidate_str) |
| 58 | + board_rows[r].remove(candidate_str) |
| 59 | + board_cols[c].remove(candidate_str) |
| 60 | + |
| 61 | + |
| 62 | + board[r][c] = '.' |
| 63 | + return False |
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