Manthan, Codefest 16 |
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Finished |

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brute force

math

number theory

*1100

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A. Ebony and Ivory

time limit per test

2 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputDante is engaged in a fight with "The Savior". Before he can fight it with his sword, he needs to break its shields. He has two guns, Ebony and Ivory, each of them is able to perform any non-negative number of shots.

For every bullet that hits the shield, Ebony deals *a* units of damage while Ivory deals *b* units of damage. In order to break the shield Dante has to deal exactly *c* units of damage. Find out if this is possible.

Input

The first line of the input contains three integers *a*, *b*, *c* (1 ≤ *a*, *b* ≤ 100, 1 ≤ *c* ≤ 10 000) — the number of units of damage dealt by Ebony gun and Ivory gun, and the total number of damage required to break the shield, respectively.

Output

Print "Yes" (without quotes) if Dante can deal exactly *c* damage to the shield and "No" (without quotes) otherwise.

Examples

Input

4 6 15

Output

No

Input

3 2 7

Output

Yes

Input

6 11 6

Output

Yes

Note

In the second sample, Dante can fire 1 bullet from Ebony and 2 from Ivory to deal exactly 1·3 + 2·2 = 7 damage. In the third sample, Dante can fire 1 bullet from ebony and no bullets from ivory to do 1·6 + 0·11 = 6 damage.

Codeforces (c) Copyright 2010-2023 Mike Mirzayanov

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