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.*;

public class Main
{
	public static void main(String[] args) {
		try{
		Scanner sc=new Scanner(System.in);
		int n=sc.nextInt();
		int b=sc.nextInt();;
		int c=sc.nextInt();;
		int ans=0;
		int flag=0;
	
		
		
		
		
		int count=0;
		if(n*10%b==n){
		    if(n*10/b==c)
		    System.out.println(1);
		    else
		    System.out.println(-1);
		}else{
		
		if(n*10%b==0){
		    ans=n*10/b;
		    if(ans==c)
		    System.out.println(1);
		    else if(n*10%b==c)
		    System.out.println(2);
		}else{
		
		while(count<=b){
		   
          
		    
		    
		   ans=n*10/b;
		   n=n*10%b;
		   
		   
		   if(ans==c){
		       flag=1;
		       count++;
		       System.out.println(count);
		       break;
		   }else
		   count++;
		   
		}
		if(flag==0)
		System.out.println(-1);
		

	}
}
}catch(Exception e){
    return;
}
}
	
}
