LeetCode79 单词搜索


题目

给定一个 m x n 二维字符网格 board 和一个字符串单词 word 。如果 word 存在于网格中,返回 true ;否则,返回 false 。

单词必须按照字母顺序,通过相邻的单元格内的字母构成,其中“相邻”单元格是那些水平相邻或垂直相邻的单元格。同一个单元格内的字母不允许被重复使用。

 示例 1: 
输入:board = [["A","B","C","E"],["S","F","C","S"],["A","D","E","E"]], word = 
"ABCCED"
输出:true

 示例 2: 
输入:board = [["A","B","C","E"],["S","F","C","S"],["A","D","E","E"]], word = 
"SEE"
输出:true

 示例 3: 
输入:board = [["A","B","C","E"],["S","F","C","S"],["A","D","E","E"]], word = 
"ABCB"
输出:false

 提示: 
 m == board.length 
 n = board[i].length 
 1 <= m, n <= 6 
 1 <= word.length <= 15 
 board 和 word 仅由大小写英文字母组成 

方法

剪枝法

  • 时间复杂度:一个非常宽松的上界为 O(MN?3^L),其中 M, N 为网格的长度与宽度,LL 为字符串word 的长度。每个方向只有一次,只能走3次
  • 空间复杂度:O(MN)。我们额外开辟了 O(MN) 的 visited 数组,同时栈的深度最大为O(min(L,MN))。
class Solution {
    public boolean exist(char[][] board, String word) {
        if(board==null||board.length<1) return false;
        int row = board.length,col = board[0].length;
        boolean[][] visited = new boolean[row][col];
        for(int i=0;i=0&&new_i=0&&new_j