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 Python (3.4.3) (judge verdict: Accepted)

import copy

S = list(input())
T = list(input())
Stmp = copy.copy(S)

if S == T:
    print("Yes")
else:
    flg = False
    s = S.pop(-1)
    S.insert(0, s)
    if S == T:
        flg = True

    while Stmp != S:
        s = S.pop(-1)
        S.insert(0, s)
        if S == T:
            flg = True
            break

    if flg:
        print("Yes")
    else:
        print("No")