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)

process.stdin.resume();
process.stdin.setEncoding('utf8');
 
// inputに入力データ全体が入る
function Main(input) {
  // 1行目がline1, 2行目がline2, …に入る
  var arg   = input.split("\n");
  var line0 = arg[0].split(" ");
  var line1 = arg[1].split(" ");
  //var line2 = tmp[2].split(" ");
  //var line3 = tmp[3].split(" ");

  var input1 = (line0[0]);
  var input2 = (line1[0]);
  //var input3 = Number(line0[2]);
  var a = input1;
  var b = input2;
  //var c = input3;

  var ans = "No";

  //console.log( line0 +" "+ a +" "+ b +" "+ "");
  
  for(var i=0; i<a.length; i++){
    var first = a[0];
    //console.log("before a = " +  a);

    var tmp =  a.slice(1, a.length);
    //a.push(first);
    //console.log("tmp = " + tmp);
    a = tmp + first;
    //console.log("after a = " + a)
    
    if(a === b) ans = "Yes"
  }


  console.log(ans);

  


}
//*この行以降は編集しないでください（標準入出力から一度に読み込み、Mainを呼び出します）
Main(require("fs").readFileSync("/dev/stdin", "utf8"));