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-----
kyoto
tokyo

-----Sample Output-----
Yes

• In the first operation, kyoto becomes okyot.
• In the second operation, okyot becomes tokyo.

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