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.*;
import java.math.*;

public class Main{
	public static void main(String[] args){
		Scanner sc = new Scanner(System.in);

		while(sc.hasNextDouble()){
			BigDecimal a=sc.nextBigDecimal(), b=sc.nextBigDecimal();
			int n=sc.nextInt();
			String d=a.divide(b,n+1,0).toString();

			int i=0, ans=0;
			while(d.charAt(i) != '.') i++;
			while(n-- > 0) ans += d.charAt(++i) - '0';
			System.out.println(ans);
		}
	}
}