Monday, September 29, 2014

Leetcode: Scramble String

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:
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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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