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 {
public static void main(String[] args) {
  Scanner in = new Scanner(System.in);
  while (in.hasNext()) {
	int ans = 0;
	for (int a = in.nextInt(), b = in.nextInt(), i = in
	    .nextInt(); i > 0; i--) {
	  ans += (a * 10 / b) % 10;
	  a = a * 10 % b;
	  if (a == 0) break;
	}
	System.out.println(ans);
  }
}
}