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; }
原文地址:http://blog.csdn.net/chenlei0630/article/details/42434645