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.*;

class Main {
  void run() {
    Scanner sc = new Scanner(System.in);
    while(sc.hasNext()) {
      int a = sc.nextInt();
      int b = sc.nextInt();
      int n = sc.nextInt();
      int s = 0;
      if (a>b) a = a%b;
      for (int i=0;i<n;i++) {
          a *= 10;
          s += (a-b/2)/b;
          a = a%b;
      }
      System.out.println(s);
    }
  }
  public static void main(String[] args) {
    new Main().run();
  }
}