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.
深搜+备忘录法
public class Solution {
Map<String,Boolean> map = new HashMap<>();
public boolean isScramble(String s1, String s2) {
if(s1.length()!=s2.length()) return false;
int len = s1.length();
if(len == 1) return s1.equals(s2);
for(int i=1;i<s1.length();i++){
if((store(s1.substring(0,i),s2.substring(0,i))&&store(s1.substring(i),s2.substring(i)))||
(store(s1.substring(0,i),s2.substring(len-i))&&store(s1.substring(i),s2.substring(0,len-i)))){
return true;
}
}
return false;
}
private boolean store(String s1, String s2){
String str = s1+s2;
if(map.containsKey(str)){
return map.get(str);
}else{
boolean foo = isScramble(s1,s2);
map.put(str, foo);
return foo;
}
}
}
原文地址:http://blog.csdn.net/guorudi/article/details/43195223