Migrated from Lutece 928 Similar Word

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Description

It was a crummy day for Lur. He failed to pass to the CET-6 (College English Test Band-$6$). Looking back on how it was in last year gone by, he gradually noticed he had fled too many English Lessons. But he determines to memorize words on his bed ,not in the classroom. You know, it is not that easy to pass the test mainly because the large amount of born words.

Lur is intelligent on games , never English. He cann't learn the similar words by heart. He always choose to select a word to learn from the similar words . For him, two words are similar if and only if one word can equal to the other by multiple cyclic shift(at least $1$). For example, car and arc are similar words, while car and rca are also similar words . To save more time to play games.

Lur want to know wether two words are similar words faster, he asks you to write a program to tell him ,can you help him ?

Input

There are multiple test cases. Each case contains two lines. Each line contains a word, $W$. You can assume that length$(W) \leq 10^5$ . Ended by EOF.

Output

Output yes in a single line if two words are similar,otherwise you should output no in a single line.

Samples

car
arc
car
cra
car
car

yes
no
no

Resources

2011 Heilongjiang collegiate programming contest