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 contest13 {
	static Scanner scn = new Scanner(System.in);
	public static void main(String[] args) {
		// TODO Auto-generated method stub
		int a = scn.nextInt();
		int b = scn.nextInt();
		char c = scn.next().charAt(0);
		
		int rem = a%b;
		
		a = rem;
		StringBuilder dec = new StringBuilder();
		for( int i=0;i<b;i++) {
			if(a==0) {
				dec.append(0);
				break;
			}
			int count=0;
			while(a/b<1) {
				a*=10;
				count++;
				if(count>1)
					dec.append(0);
			}
			dec.append(a/b);
			a = a%b; 
		}
		//System.out.println(dec);
		
		int pos=-1;
		for( int i=0;i<dec.length();i++) {
			if(dec.charAt(i)==c) {
				pos= i+1;
				break;
			}
		}
		System.out.println(pos);
	}
}

			 	  	  				  	  	 	    			