Codeforces Round #313 (Div. 2)——D递归，stirng——Equivalent Strings

Today on a lecture about strings Gerald learned a new definition of string equivalency. Two strings a and b of equal length are calledequivalent in one of the two cases:

1. They are equal.
2. If we split string a into two halves of the same size a1 and a2, and string b into two halves of the same size b1 and b2, then one of the following is correct:
   1. a1 is equivalent to b1, and a2 is equivalent to b2
   2. a1 is equivalent to b2, and a2 is equivalent to b1

As a home task, the teacher gave two strings to his students and asked to determine if they are equivalent.

Gerald has already completed this home task. Now it's your turn!

Input

The first two lines of the input contain two strings given by the teacher. Each of them has the length from 1 to 200 000 and consists of lowercase English letters. The strings have the same length.

Output

Print "YES" (without the quotes), if these two strings are equivalent, and "NO" (without the quotes) otherwise.

Sample test(s)

input

aaba
abaa

output

YES

input

aabb
abab

output

NO

Note

In the first sample you should split the first string into strings "aa" and "ba", the second one — into strings "ab" and "aa". "aa" is equivalent to "aa"; "ab" is equivalent to "ba" as "ab" = "a" + "b", "ba" = "b" + "a".

In the second sample the first string can be splitted into strings "aa" and "bb", that are equivalent only to themselves. That's why string "aabb" is equivalent only to itself and to string "bbaa".

/*
需要递归，对于长度相同的s1,s2，每段都分成两部分这两两又能结合，用if判断是否可行，如果奇数长度就返回flag1，因为不能再往下分
*/
#include <cstdio>
#include <cstring>
#include <algorithm>
using namespace std;
const int MAX = 200000 + 10;
char  s1[MAX], s2[MAX];
bool isequal(char *ss1, char *ss2, int len)
{
    int flag1 = true;
    for(int i = 0 ; i < len; i++){
        if(ss1[i] != ss2[i]) flag1 = false;
    }
    if(len % 2 == 1) return flag1;
    if((isequal(ss1, ss2, len/2) && isequal(ss1 + len/2, ss2 + len/2, len/2)) || (isequal(ss1, ss2 + len/2, len/2) && isequal(ss1 + len/2, ss2, len/2)))
        return true;
}

int main()
{
    while(~scanf("%s%s", s1, s2)){
        int n = strlen(s1);
        int flag = 0;
        if(n % 2){
           if(strcmp(s1, s2) == 0)
               flag = 1;
        }
        else {
            if(strcmp(s1, s2) == 0)
                flag = 1;
            if(isequal(s1, s2 , n) == 1) 
                flag = 1;
        }
        if(flag == 0)
        printf("NO
");
        else printf("YES
");
    }
    return 0;
}