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B - Choose Integers

Score : $200$ points

Problem Statement

We ask you to select some number of positive integers, and calculate the sum of them.

It is allowed to select as many integers as you like, and as large integers as you wish. You have to follow these, however: each selected integer needs to be a multiple of $A$, and you need to select at least one integer.

Your objective is to make the sum congruent to $C$ modulo $B$. Determine whether this is possible.

If the objective is achievable, print YES. Otherwise, print NO.

Constraints

• $1 ≤ A ≤ 100$
• $1 ≤ B ≤ 100$
• $0 ≤ C < B$

Input

Input is given from Standard Input in the following format:

$A$ $B$ $C$

Output

Print YES or NO.

7 5 1

YES

For example, if you select $7$ and $14$, the sum $21$ is congruent to $1$ modulo $5$.

2 2 1

NO

The sum of even numbers, no matter how many, is never odd.

1 100 97

YES

You can select $97$, since you may select multiples of $1$, that is, all integers.

40 98 58

YES

77 42 36

NO