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 PHP (5.6.30) (judge verdict: Wrong Answer)

<?php
//error_reporting(0);
$S = trim(fgets(STDIN));
$T = trim(fgets(STDIN));
//list($n,$m,$d) = explode(" ",trim(fgets(STDIN)));
//$a = explode(" ",trim(fgets(STDIN)));

$Ss = str_split($S);
$St = str_split($T);

sort($Ss);
sort($St);

$S = implode($Ss);
$T = implode($St);
if ($S==$T) {
  printf("Yes\n");
}
else {
  printf("No\n");
}