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.
Recursive:
class Solution { public: bool isScramble(string s1, string s2) { int l1 = s1.length(); int l2 = s2.length(); if(l1 != l2) return false; if(l1==1) return s1[0] == s2[0]; int A[26] = {0}; for(int i=0;i<l1;i++) { A[s1[i]-'a']++; A[s2[i]-'a']--; } for(int i=0;i<26;i++) { if(A[i]!=0) return false; } for(int i=1;i<l1;i++) { bool res = (isScramble(s1.substr(0,i), s2.substr(0,i)) && isScramble(s1.substr(i), s2.substr(i))) || (isScramble(s1.substr(0,i), s2.substr(l1-i)) && isScramble(s1.substr(i), s2.substr(0,l1-i))); if(res) return true; } return false; } };