Cyclic Isomorphism Check

Problem Description

You are given two strings $a$ and $b$, consisting only of lowercase letters. Determine whether the two strings are cyclically isomorphic.

If yes, output Yes; otherwise output No.

Input Format

The first line contains a string $a$.

The second line contains a string $b$.

Output Format

Output one line with a string, the answer.

Sample Input 1

baabaac
cbaabaa

Sample Output 1

Yes

Sample Input 2

aaab
caaa

Sample Output 2

No

Constraints

For all data: $1 \leq |a|, |b| \leq 10^5$, and both strings consist only of lowercase letters.