力扣---剑指 Offer 12. 矩阵中的路径

发布时间 2023-04-02 10:13:18作者: Owlwu

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。

 

例如,在下面的 3×4 的矩阵中包含单词 "ABCCED"(单词中的字母已标出)。

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","d"]], word = "abcd"
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
注意:本题与主站 79 题相同:https://leetcode-cn.com/problems/word-search/

来源:力扣(LeetCode)
链接:https://leetcode.cn/problems/ju-zhen-zhong-de-lu-jing-lcof
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一般这种题都能用回溯做。

个人感觉回溯最重要的一个是终止判断,另一个是状态恢复。

class Solution {
    public boolean exist(char[][] board, String word) {
        if (board == null || board.length == 0 || board[0].length == 0) {
            return false;
        }
        char[] arr = word.toCharArray();
        boolean[][] judge = new boolean[board.length][board[0].length];
        for (int i = 0; i < board.length; i ++) {
            for (int j = 0; j < board[0].length; j ++) {
                if (board[i][j] == arr[0]) {
                    if (dfs(arr, 0, board, i, j, judge)) {
                        return true;
                    }
                }
            }
        }
        return false;
    }
    private boolean dfs(char[] arr, int p, char[][] board, int i, int j, boolean[][] judge) {
        if (p == arr.length) {
            return true;
        }
        if (i < 0 || i == board.length) {
            return false;
        }
        if (j < 0 || j == board[0].length) {
            return false;
        }
        if (judge[i][j]) {
            return false;
        }
        if (board[i][j] != arr[p]) {
            return false;
        }
        judge[i][j] = true;
        boolean ans = dfs(arr, p + 1, board, i + 1, j, judge)
                || dfs(arr, p + 1, board, i - 1, j, judge)
                || dfs(arr, p + 1, board, i, j + 1, judge)
                || dfs(arr, p + 1, board, i, j - 1, judge);
        judge[i][j] = false;
        return ans;
    }
}