【算法】12.矩阵中的路径
条评论请设计一个函数,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
提示:
1 <= board.length <= 200 1 <= board[i].length <= 200
来源:力扣(LeetCode)
链接:https://leetcode-cn.com/problems/ju-zhen-zhong-de-lu-jing-lcof
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这是一道深度优先遍历的题目
bool dfs(char** board, int boardSize, int* boardColSize, char* word,int row, int col, int len)
{
if(word[len] == '\0')
return true;
//边界条件
if( row < 0 || row >= boardSize||
col < 0 || col >= *boardColSize||
board[row][col] != word[len])
return false;
char temp = board[row][col];
board[row][col] = '/'; //遍历过的数据用‘/’划除
//递归实现深度优先遍历
bool res = dfs(board, boardSize, boardColSize, word, row-1, col, len+1)||
dfs(board, boardSize, boardColSize, word, row, col-1, len+1)||
dfs(board, boardSize, boardColSize, word, row+1, col, len+1)||
dfs(board, boardSize, boardColSize, word, row, col+1, len+1);
board[row][col] = temp;
return res;
}
bool exist(char** board, int boardSize, int* boardColSize, char* word)
{
for(int i=0;i<boardSize;i++)
{
for(int j=0; j<*boardColSize;j++)
{
if(dfs(board,boardSize,boardColSize,word,i,j,0))
return true;
}
}
return false;
}