Assume that a, b, and n are all positive integers. Let f (i) be the i-th fraction of the fraction a / b (0 ≤ f (i) ≤ 9). At this time, let s be the sum of f (i) from i = 1 to n.

s = f (1) + f (2) + ... + f (n)


Create a program that reads a, b, n, outputs s, and exits.



Input

The input consists of multiple datasets. For each dataset, three integers a (1 ≤ a ≤ 1000), b (1 ≤ b ≤ 10000), n (1 ≤ n ≤ 100) are given on one line, separated by blanks.

The number of datasets does not exceed 100.

Output

Prints s on one line for each dataset.

Example

Input

1 2 3
2 3 4
5 4 3
4 3 2


Output

5
24
7
6
import java.util.Scanner;

public class Main{
	Main(){
		Scanner sc = new Scanner(System.in);
		
		while(sc.hasNext()){
			String[] st = (sc.nextLine()).split(" ");
			double a = Double.parseDouble(st[0]);
			double b = Double.parseDouble(st[1]);
			int n = Integer.parseInt(st[2]);
			String str = Double.toString((a/b));
			str += "00000000";
			int s = 0;
			for(int i = 0; i < n; i++){
				String ssst = str.substring(i+2, i+3);
				s += Integer.parseInt(ssst);
			}
			System.out.println(Integer.toString(s));
		}
	}
	
	public static void main(String[] args){
		new Main();
	}
}