Problem: Dante 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. 

Solution (in PYTHON3):

Solution:
#_________________ Mukul Mohan Varshney _______________#

#Template
import sys
import os
import math
import copy
from math import gcd
from bisect import bisect
from io import BytesIO, IOBase
from math import sqrt,floor,factorial,gcd,log,ceil
from collections import deque,Counter,defaultdict
from itertools import permutations, combinations

#define function 
def Int(): return int(sys.stdin.readline())
def Mint(): return map(int,sys.stdin.readline().split())
def Lstr(): return list(sys.stdin.readline().strip())
def Str(): return sys.stdin.readline().strip()
def Mstr(): return map(str,sys.stdin.readline().strip().split())
def List(): return list(map(int,sys.stdin.readline().split()))
def Hash(): return dict()
def Mod(): return 1000000007
def Ncr(n,r,p): return ((fact[n])*((ifact[r]*ifact[n-r])%p))%p
def Most_frequent(list): return max(set(list), key = list.count)
def Mat2x2(n): return [List() for _ in range(n)]

def Prime_factors(n):
     i = 2
     factors = set()
     while i * i <= n:
          if n % i:
               i += 1
          else:
               n //= i
               factors.add(i)
     if n > 1:
          factors.add(n)
     print(factors)     
     if len(factors)==2:
          return True
     else:
          return False

def Divisors(n) : 
     l = []  
     for i in range(1, int(math.sqrt(n) + 1)) :
          if (n % i == 0) : 
               if (n // i == i) : 
                    l.append(i) 
               else : 
                    l.append(i)
                    l.append(n//i)
     return l
     
def Sieve(n):                      
     prime=[True for i in range(n+1)]
     lst=[]
     p=2
     while p*p<=n:
          if prime[p]:
               for i in range(p*p,n+1,p):
                    prime[i]=False
          p=p+1
     for i in range(2,n+1):
          if prime[i]:
               lst.append(i)
     return lst    
     
def minimum_integer_not_in_list(a):
     b=max(a)
     if(b<1):
          return 1
          
     A=set(a)
     B=set(range(1,b+1))
     D=B-A
     if len(D)==0:
          return b+1
     else:
          return min(D)
 
# Driver Code 	
def solution():
     a,b,c=Mint()
     while(c>=0):
          if(c%b==0):
               print("Yes")
               exit(0)
          #print(c)     
          c=c-a
     else:
          print("No")
     
               

#Call the solve function          
if __name__ == "__main__":
     solution()