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.
Understand the problem:public class Solution {
public boolean isScramble(String s1, String s2) {
if (s1.length() != s2.length()) {
return false;
}
if (s1.length() == 1 && s2.length() == 1) {
if (s1.charAt(0) == s2.charAt(0)) {
return true;
} else {
return false;
}
}
char[] array1 = s1.toCharArray();
char[] array2 = s2.toCharArray();
Arrays.sort(array1);
Arrays.sort(array2);
if (!Arrays.toString(array1).equals(Arrays.toString(array2))) {
return false;
}
for (int i = 1; i < s1.length(); i++) {
String s11 = s1.substring(0, i);
String s12 = s1.substring(i);
String s21 = s2.substring(0, i);
String s22 = s2.substring(i);
if (isScramble(s11, s21) && isScramble(s12, s22)) {
return true;
}
s21 = s2.substring(0, s2.length() - i);
s22 = s2.substring(s2.length() - i);
if (isScramble(s11, s22) && isScramble(s12, s21)) {
return true;
}
}
return false;
}
}
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