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.*;

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

	while(sc.hasNext()){

	    int a = sc.nextInt();
	    int b = sc.nextInt();
	    int n = sc.nextInt();

	    double fd = (double)a/(double)b;
	    int fi = a/b;

	    String num = Double.toString(fd-fi);
	    int s = 0;
	    for(int i=0; i<n && i<num.length()-2; i++){
		s += Integer.parseInt(num.substring(2+i,3+i));
	    }

	    System.out.println(s);
	}
    }
}