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 Solution {

	public static void main(String[] args) {
		// http://codeforces.com/contest/900/problem/B
		Scanner scn = new Scanner(System.in);
		int a = scn.nextInt();
		int b = scn.nextInt();
		int c = scn.nextInt();
		int[] remArr = new int[b];
		int ans = 1;
		int rem = a % b;
		while (remArr[rem] != 1) {
			remArr[rem] = 1;
			rem*=10;
			if(rem/b == c) {
				System.out.println(ans);
				return;
			}
			ans++;
			rem = rem % b;
		}
		System.out.println("-1");
		return;
	}

}
