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 PHP7 (7.0.15) (judge verdict: Runtime Error)

<?php
$s = trim(fgets(STDIN));
$t = trim(fgets(STDIN));
$num = mb_strlen($s);
$ans_flg = false;
for($i=0; $i<$num; $i++){
	$s_array = str_split($s);
	$str = $s_array[0];
	array_splice($s_array, 0, 1);
	$s_array[] = $str;
	$s = implode("", $s_array);
	if($s==$t){
		$ans_flg = true;
	}
}
$ans = $ans_flg ? "Yes" : "No";
echo $ans. "\n";
?>