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.text.*;

class Main{
  public static void main(String[] args){
    Scanner sc = new Scanner(System.in);
    DecimalFormat df = new DecimalFormat();
    df.applyPattern("0");
    df.setMaximumFractionDigits(10);
    df.setMinimumFractionDigits(10);
    while (sc.hasNext()) {
      double a = sc.nextDouble();
      double b = sc.nextDouble();
      String str = df.format(a/b);
      int[] decimal = new int[10];
      for (int i = 0; i < 10; i++) {
        decimal[i] = (int)(str.charAt(i+2)-'0');
      }
      int n = sc.nextInt();
      int sum = 0;
      for (int i = 0; i < n; i++) {
        sum += decimal[i];
      }
      System.out.println(sum);
    }
  }
}