You have a fraction <image>. You need to find the first occurrence of digit c into decimal notation of the fraction after decimal point.

Input

The first contains three single positive integers a, b, c (1 ≤ a < b ≤ 105, 0 ≤ c ≤ 9).

Output

Print position of the first occurrence of digit c into the fraction. Positions are numbered from 1 after decimal point. It there is no such position, print -1.

Examples

Input

1 2 0


Output

2

Input

2 3 7


Output

-1

Note

The fraction in the first example has the following decimal notation: <image>. The first zero stands on second position.

The fraction in the second example has the following decimal notation: <image>. There is no digit 7 in decimal notation of the fraction. 

import java.util.Scanner;
public class CF898B 
{
    public static void main(String[] args)
    {
        Scanner input =new Scanner(System.in);
        int  n,a,b;
        int i;
        
       a= input.nextInt();
                
        b=input.nextInt();
        n=input.nextInt();
       
      int k=0;
       for(i=1;i<=1000000;i++)
       {
         a=  (a*10);
          int d;
           d = (int) a/b;
          
          if(d==n)  
          {
              System.out.println(i);
             k = 1;
              break;
          }
          a=a%b;
          
       }
        if(k==0)
           {
               System.out.println("-1");
           }
        
    }
    
}
