法1 DFS回溯
想法:
- 矩阵arrived记录矩阵board中某个字符是否被访问
- 从矩阵board中找到word的第一个字符,将word截断,取除第一个字符之后的字符,组成leftWord
- 然后找leftWord的第一个字符
- 向word的第一个字符的位置的上下左右寻找
- 有等于leftWord的第一个字符的位置,则以此位置为新起点,去除了leftWord的第一个字符的剩余字符leftWord’为新的leftWord,找leftWord’的第一个字符
- 直到leftWord的长度为0(没有需要找的字符),返回true
- word的第一个字符的位置,上下左右任意方向可以找到leftWord的第一个字符,则可以返回true(或操作)
注:为了减少循环次数,一旦为true,则破开循环,返回true
/** * @param {character[][]} board * @param {string} word * @return {boolean} */
var exist = function(board, word) {
var output = false;
var temp = [], arrived = [];
var i = 0, j = 0;
for(i = 0; i < board.length; i++) {
for(j = 0; j < board[0].length; j++) {
temp[temp.length] = false;
}
arrived[arrived.length] = temp;
temp = [];
}
for(i = 0; i < board.length; i++) {
for(j = 0; j < board[0].length; j++) {
if(board[i][j] == word.charAt(0)) {
arrived[i][j] = true;
output = doExist(board, word.slice(1), i, j, arrived) || output;
arrived[i][j] = false;
}
if(output) {
break;
}
}
if(output) {
break;
}
}
return output;
};
function doExist(board, leftWord, r, c, arrived) {
if(leftWord.length == 0) {
return true;
}
var i = 0, j = 0, output = false;
for(i = -1; i < 2; i++) {
for(j = -1; j < 2; j++) {
if(i == j || i * j == -1) {
continue;
}
if(r + i < 0 || r + i >= board.length || c + j < 0 ||
c + j >= board[0].length) {
continue;
}
if(!arrived[r + i][c + j] && board[r + i][c + j] == leftWord.charAt(0)) {
arrived[r + i][c + j] = true;
output = doExist(board, leftWord.slice(1), r + i, c + j, arrived) || output;
arrived[r + i][c + j] = false;
}
if(output) {
break;
}
}
if(output) {
break;
}
}
return output;
}