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 Rust (1.15.1) (judge verdict: Accepted)

use std::io::*;

fn read<T: std::str::FromStr>(i: &mut StdinLock) -> T {
    let mut s = String::new();
    i.by_ref().read_line(&mut s).ok();
    s.trim().parse().ok().unwrap()
}

fn main() {
    // initialize stdin
    let sin = std::io::stdin();
    let mut sin = sin.lock();
    let sin = &mut sin;

    let input1: String = read(sin);
    let input2: String = read(sin);

    let rotates: String = vec![input1.as_str(), input1.as_str()].concat();
    let ans = if rotates.contains(input2.as_str()) {
        "Yes"
    } else {
        "No"
    };

    println!("{}", ans);
}