87. Scramble String Leetcode Python
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 =
To scramble the string, we may choose any non-leaf node and swap its two children.
For example, if we choose the node
We say that
Similarly, if we continue to swap the children of nodes
We say that
Given two strings s1 and s2 of the same length, determine if s2 is a scrambled string of s1.
This problem can be solved with brute Force.
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.
This problem can be solved with brute Force.
class Solution:
# @param s1, a string
# @param s2, a string
# @return a boolean
def isScramble(self, s1, s2):
n, m = len(s1),len(s2)
if n!=m or sorted(s1)!=sorted(s2):
return False
if n < 4 or s1 == s2:
return True
for i in range(1, n):
if (self.isScramble(s1[:i],s2[:i]) and self.isScramble(s1[i:], s2[i:]) )or (self.isScramble(s1[:i], s2[-i:]) and self.isScramble(s1[i:], s2[:-i]) ):
return True
return False