原题地址:https://oj.leetcode.com/problems/scramble-string/
题意:
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.
解题思路:二叉树的问题一般使用递归来解决。
代码:
class Solution: # @return a boolean def isScramble(self, s1, s2): if len(s1)!=len(s2): return False if s1==s2: return True l1=list(s1); l2=list(s2) l1.sort();l2.sort() if l1!=l2: return False length=len(s1) for i in range(1,length): if self.isScramble(s1[:i],s2[:i]) and self.isScramble(s1[i:],s2[i:]): return True if self.isScramble(s1[:i],s2[length-i:]) and self.isScramble(s1[i:],s2[:length-i]): return True return False