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Given an xn
grid of characters board
and a string word
, return true
if word
exists in the grid.
The word can be constructed from letters of sequentially adjacent cells, where adjacent cells are horizontally or vertically neighboring. The same letter cell may not be used more than once.
Example 1:
Input: board = [["A","B","C","E"],["S","F","C","S"],["A","D","E ","E"]], word = "ABCCED" Output: true
Example 2:
Input: board = [["A","B","C","E"],["S","F","C","S"],["A","D","E ","E"]], word = "SEE" Output: true
Example 3:
Input: board = [["A","B","C","E"],["S","F","C","S"],["A","D","E ","E"]], word = "ABCB" Output: false
Constraints:
m == board.length
n = board[i].length
1 <= m, n <= 6
1 <= word.length <= 15
board
andword
consists of only lowercase and uppercase English letters.
Follow up: Could you use search pruning to make your solution faster with a larger board
?
Table of contents
TogglePython
# time complexity: O(c*3^l) # space complexity: O(l) from typing import List class Solution: def exist(self, board: List[List[str]], word: str) -> bool: def backtrack(suffix: str, r: int, c: int): if len(suffix) == 0: return True if not (0 <= r < ROW and 0 <= c < COL) or suffix[0] ! = board[r][c]: return False result = False originalChar = board[r][c] board[r][c] = "#" for dr,dc in ([1,0],[0,1 ],[-1,0],[0,-1]): result = backtrack(suffix[1:], r+dr, c+dc) if result: break board[r][c] = originalChar return result ROW = len(board) COL = len(board[0]) for row in range(ROW): for col in range(COL): if backtrack(word, row, col): return True return False board = [[" A", "B", "C", "E"], ["S", "F", "C", "S"], ["A", "D", "E", "E" ]] word = "ABCCED" print(Solution().exist(board, word))