矩阵中的路径(单词搜索)

请设计一个函数,用来判断在一个矩阵中是否存在一条包含某字符串所有字符的路径。路径可以从矩阵中的任意一格开始,每一步可以在矩阵中向左、右、上、下移动一格。如果一条路径经过了矩阵的某一格,那么该路径不能再次进入该格子。例如,在下面的3×4的矩阵中包含一条字符串“bfce”的路径(路径中的字母用加粗标出)。

[["a","b","c","e"],
["s","f","c","s"],
["a","d","e","e"]]

但矩阵中不包含字符串“abfb”的路径,因为字符串的第一个字符b占据了矩阵中的第一行第二个格子之后,路径不能再次进入这个格子 

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
 1 public boolean exist(char[][] board, String word) {
 2         char[] words = word.toCharArray();
 3         int row = board.length;  //行数
 4         int col = board[0].length;//列数
 5         for(int i=0;i<row;i++){
 6             for(int j = 0;j<col;j++){
 7                 if(dfs(board,words,i,j,0)){
 8                     return true;
 9                 }
10             }
11         }       
12         return false;
13     }
14 
15    boolean dfs(char[][] board,char[] words,int i,int j,int k){
16         if(i<0 || i>=board.length || j<0 || j>=board[0].length || board[i][j]!=words[k]){
17             return false;
18         }
19         if(k==words.length-1){
20             return true;
21         }
22 
23         char tmp = board[i][j];
24         board[i][j]='/';
25 
26         boolean flag = dfs(board, words, i + 1, j, k + 1) || dfs(board, words, i - 1, j, k + 1) ||
27                       dfs(board, words, i, j + 1, k + 1) || dfs(board, words, i , j - 1, k + 1);
28 
29         board[i][j]=tmp;
30         return flag;
31     }

 

posted @ 2020-08-13 14:27  王余阳  阅读(245)  评论(0)    收藏  举报