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 JavaScript (node.js v5.12) (judge verdict: Accepted)

function Main(input) {
    rotate = str => str.slice(1) + str[0];
    f = false;
    input = input.split("\n");
    for (i = 0; i < input[0].length; i++)
        if ((input[0] = rotate(input[0])) == input[1]) {
            f = true;
            break;
        }
    console.log(f ? "Yes" : "No");
}
Main(require("fs").readFileSync("/dev/stdin", "utf8"));