Scramble String
Total Accepted: 3103 Total Submissions: 15043
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.
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/* | |
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. | |
*/ | |
public class ScrambleString { | |
public boolean isScramble(String s1, String s2) { | |
if( s1==null||s2==null){ | |
return false; | |
} | |
if (s1.length()==0){ | |
return s2.length()==0; | |
} | |
if (s1.length()!=s2.length()){ | |
return false; | |
} | |
if (s1.equals(s2)){ | |
return true; | |
} | |
int value1=0; | |
int value2=0; | |
// check is s1 and s2 has same chars | |
for (int i=0; i<s1.length(); i++){ | |
value1+=s1.charAt(i)-'0'; | |
value2+=s2.charAt(i)-'0'; | |
} | |
if (value1!=value2){ | |
return false; | |
} | |
for (int i =1; i<s1.length(); i++){ | |
String s1Left=s1.substring(0, i); | |
String s1Right=s1.substring(i); | |
String s2Left=s2.substring(0,i); | |
String s2Right=s2.substring(i); | |
if (isScramble(s1Left, s2Left)&&isScramble(s1Right,s2Right)){ | |
return true; | |
} | |
s2Left=s2.substring(s2.length()-i); | |
s2Right=s2.substring(0, s2.length()-i); | |
if (isScramble(s1Left, s2Left)&&isScramble(s1Right,s2Right)){ | |
return true; | |
} | |
} | |
return false; | |
} | |
} |
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