Leetcode 87. Scramble String

最新推荐文章于 2021-04-17 00:21:09 发布

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本文介绍了一种用于判断两个字符串是否可通过特定规则相互转换的算法。该算法应用于字符串s1和s2，通过递归地将字符串划分为子字符串，并检查是否可以通过交换某些非叶节点的子字符串来使s1变为s2。

Question

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.

Code

  public boolean isScramble(String s1, String s2) {
        if (s1 == null || s2 == null || s1.length() != s2.length()) {
            return false;
        }
        if (s1.equals(s2)) {
            return true;
        }
        char[] chars1 = s1.toCharArray();
        char[] chars2 = s2.toCharArray();
        Arrays.sort(chars1);
        Arrays.sort(chars2);
        if (!Arrays.equals(chars1, chars2)) {
            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;
    }