|
| 1 | +from collections import Counter |
| 2 | +from typing import List |
| 3 | + |
| 4 | +class Solution: |
| 5 | + def exist(self, board: List[List[str]], word: str) -> bool: |
| 6 | + row_len, col_len = len(board), len(board[0]) |
| 7 | + |
| 8 | + board_freq = Counter(ch for row in board for ch in row) |
| 9 | + |
| 10 | + for ch, need in Counter(ch for ch in word).items(): |
| 11 | + if board_freq.get(ch, 0) < need: |
| 12 | + return False |
| 13 | + |
| 14 | + if board_freq.get(word[0], 0) > board_freq.get(word[-1], 0): |
| 15 | + word = word[::-1] |
| 16 | + |
| 17 | + DIRECTIONS = ((-1, 0), (1, 0), (0, -1), (0, 1)) |
| 18 | + MARKER = "" |
| 19 | + |
| 20 | + def in_bounds(r: int, c: int) -> bool: |
| 21 | + return 0 <= r < row_len and 0 <= c < col_len |
| 22 | + |
| 23 | + def backtrack(r: int, c: int, idx: int) -> bool: |
| 24 | + if idx == len(word) - 1: |
| 25 | + return True |
| 26 | + |
| 27 | + saved_char = board[r][c] |
| 28 | + board[r][c] = MARKER |
| 29 | + board_freq[saved_char] -= 1 |
| 30 | + |
| 31 | + for dr, dc in DIRECTIONS: |
| 32 | + nr, nc = r + dr, c + dc |
| 33 | + next_ch = word[idx + 1] |
| 34 | + |
| 35 | + if (in_bounds(nr, nc) |
| 36 | + and board[nr][nc] != MARKER |
| 37 | + and board[nr][nc] == next_ch |
| 38 | + and board_freq[next_ch] > 0 |
| 39 | + and backtrack(nr, nc, idx + 1)): |
| 40 | + return True |
| 41 | + |
| 42 | + board[r][c] = saved_char |
| 43 | + board_freq[saved_char] += 1 |
| 44 | + return False |
| 45 | + |
| 46 | + for r in range(row_len): |
| 47 | + for c in range(col_len): |
| 48 | + if board[r][c] == word[0] and backtrack(r, c, 0): |
| 49 | + return True |
| 50 | + |
| 51 | + return False |
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