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.
递归的分别验证树的左子树和右子树。
public boolean isScramble(String s1, String s2) { //java
if(s1 == null || s2 == null || s1.length() != s2.length())
return false;
if(s1.equals(s2))
return true;
char [] chs1= s1.toCharArray();
char [] chs2= s2.toCharArray();
Arrays.sort(chs1);
Arrays.sort(chs2);
if(!Arrays.equals(chs1, chs2))
return false;
for(int i = 1; i < s1.length(); i++)
{
if(isScramble(s1.substring(0,i),s2.substring(0,i))&&isScramble(s1.substring(i),s2.substring(i)))
return true;
if(isScramble(s1.substring(0,i),s2.substring(s2.length()-i))&&isScramble(s1.substring(i),s2.substring(0,s2.length()-i)))
return true;
}
return false;
}原文:http://blog.csdn.net/chenlei0630/article/details/42434645