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.math.BigDecimal;
import java.util.Scanner;

public class Main {

	static int a,b,n;
	public static void main(String[] args) {
		Scanner cin = new Scanner(System.in);
		for(;cin.hasNext();){
			a=cin.nextInt();
			b=cin.nextInt();
			n=cin.nextInt();
			BigDecimal bd = new BigDecimal((double)a/(double)b);
			int ans=0;
			for(int i = 0;i<n;i++){
				bd=bd.multiply(new BigDecimal("10"));
				int a = bd.intValue();
				ans+=a%10;
			}
			System.out.println(ans);
		}

	}

}