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.
Solution:O(mn)
public class Solution {
public boolean isScramble(String s1, String s2) {
if(s1==null || s2==null || s1.length()!=s2.length())
return false;
char[] c1=s1.toCharArray();
cahr[] c2=s2.toCharArray();
Arrays.sort(c1);
Arrays.sort(c2);
if(!(new String(c1)).equals(new String(c2)))
return false;
else if(s1.length()==1)
return true;
for(int i=0;i<s1.length()-1;i++){
if(isScramble(s1.substring(0,i+1),s2.substring(s1.length()-i-1))
&& isScramble(s1.substring(i+1),s2.substring(0,s1.length()-i-1))
|| isScramble(s1.substring(0,i+1),s2.substring(0,i+1))
&& isScramble(s1.substring(i+1),s2.substring(i+1)))
return true; } return false; } }
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