Problem:
Score : 200 points

Problem Statement

You are given string S and T consisting of lowercase English letters.

Determine if S equals T after rotation.

That is, determine if S equals T after the following operation is performed some number of times:

Operation: Let S = S_1 S_2 ... S_{|S|}. Change S to S_{|S|} S_1 S_2 ... S_{|S|-1}.

Here, |X| denotes the length of the string X.

Constraints

2 \leq |S| \leq 100

|S| = |T|

S and T consist of lowercase English letters.

Input

Input is given from Standard Input in the following format:

S
T

Output

If S equals T after rotation, print Yes; if it does not, print No.

Sample Input 1

kyoto
tokyo

Sample Output 1

Yes

In the first operation, kyoto becomes okyot.

In the second operation, okyot becomes tokyo.

Sample Input 2

abc
arc

Sample Output 2

No

abc does not equal arc after any number of operations.

Sample Input 3

aaaaaaaaaaaaaaab
aaaaaaaaaaaaaaab

Sample Output 3

Yes

Solution in Java8 (OpenJDK 1.8.0) (judge verdict: Wrong Answer)

import java.util.*;

public class Main {


    public static void main(String[] args) {
       Scanner sc = new Scanner(System.in);

       String str1 = sc.nextLine();
       String str2 = sc.nextLine();

       if(str1.length() != str2.length()) {
           System.out.println("No");
       }
       Map<Character, Integer> map = new HashMap<>();

        for (int i = 0; i < str1.length(); i++) {
            if(map.containsKey(str1.charAt(i))) {
                map.put(str1.charAt(i), map.get(str1.charAt(i)) + 1);
                continue;
            }
            map.put(str1.charAt(i), 1);
        }

        for (int i = 0; i < str2.length(); i++) {
            if(map.containsKey(str2.charAt(i))) {
                map.put(str2.charAt(i), map.get(str2.charAt(i)) - 1);
                continue;
            }
            map.put(str2.charAt(i), 1);
        }

        Collection<Integer> result = map.values();

        for(int i : result) {
            if(i != 0) {
                System.out.println("No");
                return;
            }
        }

        System.out.println("Yes");
    }

}