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 C++14 (GCC 5.4.1) (judge verdict: Accepted)

#include<bits/stdc++.h>
using namespace std;
using ll = long long; 
using ull = unsigned long long;
using V = vector<int>;
using VV = vector<vector<int>>;
using VVV = vector<vector<vector<int>>>;
using VL = vector<ll>;
using VVL = vector<vector<ll>>;
using VVVL = vector<vector<vector<ll>>>;
template<class T> using P = pair<T, T>;
#define rep(i,n) for(int i=0;i<(n);i++)
#define rep1(i,n) for(int i=1;i<=(n);i++)
#define REP(i,k,n) for(int i=(k);i<(n);i++)
#define all(a) (a).begin(),(a).end()
#define output(x,y) cout << fixed << setprecision(y) << x << endl;
template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return true; } return false; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return true; } return false; }
ll gcd(ll a, ll b) { return b ? gcd(b, a % b) : a; }
ll lcm(ll a, ll b) { return a / gcd(a, b) * b; }
const ll MOD = 1e9 + 7;
// const ll MOD = 998244353;
ll upper = MOD + MOD;
ll under = -upper;
ll UPPER = MOD * MOD;
ll UNDER = -UPPER;
const long double pi = 3.141592653589793;
void rotation(string& t) {
	char c = t.back();
	string s = "";
	s += c;
	t.pop_back();
	t.insert(0, s);
}
int main() { // 問題文はしっかり読め!!!
	string s, t;
	cin >> s >> t;
	bool flag = false;
	rep(i, s.size() * 2) {
		if (s == t) flag = true;
		rotation(t);
	}
	puts(flag ? "Yes" : "No");
	return 0;
}