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.
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();
char c2[] = s2.toCharArray();
Arrays.sort(c1);
Arrays.sort(c2);
String st1 = new String(c1);
String st2 = new String(c2);
if(!st1.equals(st2)) {
return false;
} else if(st1.length()<=2) {
return true;
}
for(int i=0;i<s1.length()-1;i++) {
if( (isScramble(s1.substring(0, i+1), s2.substring(0, i+1)) &&
isScramble(s1.substring(i+1), s2.substring(i+1))) ||
(isScramble(s1.substring(0, i+1), s2.substring(s1.length()-i-1)) &&
isScramble(s1.substring(i+1), s2.substring(0, s1.length()-i-1))
)
) {
return true;
}
}
return false;
}
}
======public class Solution {
public boolean isScramble(String s1, String s2) {
if (s1 == null && s2 == null) {
return true;
} else if (s1 == null || s2 == null) {
return false;
}
if (s1.equals(s2)) return true;
char[] cs1 = s1.toCharArray();
char[] cs2 = s2.toCharArray();
Arrays.sort(cs1);
Arrays.sort(cs2);
if (!(new String(cs1)).equals(new String(cs2))) {
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))) ||
(isScramble(s1.substring(0, i), s2.substring(s2.length() - i)) && isScramble(s1.substring(i), s2.substring(0, s2.length() - i)))
) return true;
}
return false;
}
}
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