The following languages are additionally available for the problems from the contest

April Fools Day Contest 2021:

- Secret 2021

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If you've seen these problems, a virtual contest is not for you - solve these problems in the archive.
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D. Xenolith? Hippodrome?

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputInput

The input contains two integers $$$N$$$, $$$M$$$ ($$$1 \le N \le 1024, 2 \le M \le 16$$$), separated by a single space.

Output

Output "YES" or "NO".

Examples

Input

2 3

Output

YES

Input

3 2

Output

NO

Input

33 16

Output

YES

Input

26 5

Output

NO

Codeforces (c) Copyright 2010-2021 Mike Mirzayanov

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