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Scramble String

Given a string A, we may represent it as a binary tree by partitioning it to two non-empty substrings recursively.

Below is one possible representation of A = “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 A and B of the same length, determine if B is a scrambled string of S.

Input Format:

``````The first argument of input contains a string A.
The second argument of input contains a string B.
``````

Output Format:

``````Return an integer, 0 or 1:
=> 0 : False
=> 1 : True
``````

Constraints:

``````1 <= len(A), len(B) <= 50
``````

Examples:

``````Input 1:
A = "we"
B = "we"

Output 1:
1

Input 2:
A = "phqtrnilf"
B = "ilthnqrpf"

Output 2:
0
``````
NOTE: You only need to implement the given function. Do not read input, instead use the arguments to the function. Do not print the output, instead return values as specified. Still have a question? Checkout Sample Codes for more details.
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