Given a string s1, we may represent it as a binary tree by partitioning it to two non-empty substrings recursively.
Below is one possible representation of s1 = “great”:
great
/ \
gr eat
/ \ / \
g r e at
/ \
a t
To scramble the string, we may choose any non-leaf node and swap its two children.
For example, if we choose the node “gr” and swap its two children, it produces a scrambled string “rgeat”.
rgeat
/ \
rg eat
/ \ / \
r g e at
/ \
a t
We say that “rgeat” is a scrambled string of “great”.
Similarly, if we continue to swap the children of nodes “eat” and “at”, it produces a scrambled string “rgtae”.
rgtae
/ \
rg tae
/ \ / \
r g ta e
/ \
t a
We say that “rgtae” is a scrambled string of “great”.
Given two strings s1 and s2 of the same length, determine if s2 is a scrambled string of s1.
题意&解题思路
给一个原串s1和一个长度相同的串s2,判断s2是否是由s1经字母二叉树交换而来。
将s1和s2分割为相同长度的两个子串:
s1[0,i) 和s2[0,i)以及s1[i,len)和s2[i,len) 或
s1[0,i) 和s2[len-i,len)以及s1[i,len)和s2[0,len-i)
进行递归比较,若长度不同则返回false,若其子串的字母出现次数不一样同样也返回false,一直递归到单个比较字符,最后返回比较结果,代码如下:
class Solution {
public:
bool isScramble(string s1, string s2) {
if(s1 == s2)return true;
int len = s1.length();
int count[26] = {0};
for(int i = 0; i < len; i++){
count[s1[i] - 'a']++;
count[s2[i] - 'a']--;
}
for(int i = 0; i < 26; i++)if(count[i] != 0)return false;
for(int i = 1; i <= len - 1; i++){
if(isScramble(s1.substr(0, i), s2.substr(0, i)) && isScramble(s1.substr(i), s2.substr(i)))return true;
if(isScramble(s1.substr(0, i), s2.substr(len - i)) && isScramble(s1.substr(i), s2.substr(0, len - i)))return true;
}
return false;
}
};