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.