79.单词搜索
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
解法:
本题是经典的深搜+剪枝题,思路:从一个点,往上下左右四个方向进行搜索,如果能走,就递归走下去,当走完整个word的时候,表明数组中存在这个单词。
分析dfs的参数:board, 当前匹配的board中字符的横坐标, 当前匹配的board中字符的纵坐标,word, 当前word匹配的字符的wordIndex。
递归出口条件:当wordIndex(当前word匹配的字符所对应的索引)等于word的长度,即可返回匹配成功。或者当前wordIndex不能匹配borad的下一个,即可返回匹配失败。
注意点:走过的格子不能再走了,需要一个vis数组来判断当前格子有没有走过,如下:
代码实现如下:
package com.offer;public class _79单词搜索 {private static boolean vis[][];public static void main(String[] args) {char[][] board = new char[][]{{'A', 'B', 'C', 'E'},{'S', 'F', 'C', 'S'},{'A', 'D', 'E', 'E'},};String word = "ABCCEDFSAD";System.out.println(exist(board, word));}public static boolean exist(char[][] board, String word) {vis = new boolean[board.length][board[0].length];for (int i = 0; i < board.length; i++) {for (int j = 0; j < board[i].length; j++) {vis[i][j] = true;boolean ans = dfs(board, i, j, word, 0);vis[i][j] = false;if (ans) {return true;}}}return false;}private static boolean dfs(char[][] board, int i, int j, String word, int wordIndex) {// 如果当前位置的值,不等于当前的单词匹配值,直接否定这条路if (board[i][j] != word.charAt(wordIndex)) return false;// 如果当前已经是最后一个值,且匹配正确,就直接返回trueif (wordIndex == word.length() - 1) return true;for (int row = -1; row <= 1; row++) {for (int col = -1; col <= 1; col++) {if (row + col == 0 || Math.abs(row + col) == 2) continue;int r = i + row;int c = j + col;if (inBoard(board, r, c) && board[r][c] == word.charAt(wordIndex + 1) && !vis[r][c]){// 走的路没有越界,且下一个值能匹配上才走vis[r][c] = true;boolean ans = dfs(board, r, c, word, wordIndex + 1);vis[r][c] = false;if (ans) {return true;}}}}return false;}private static boolean inBoard(char[][] board, int i, int j) {if (i >= 0 && i < board.length && j >= 0 && j < board[0].length) {return true;}return false;}
}