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
using System;

class _0054 {
    public static void Main() {
        string str;
        double[] ns;
        int sum;
        while((str = Console.ReadLine()) != null) {
            ns = Array.ConvertAll(str.Split(), s => double.Parse(s));
            str = (ns[0] / ns[1]).ToString();
            str = str.Substring(str.IndexOf('.') + 1);
            sum = 0;
            for (int i = 0; i < str.Length && i < ns[2]; i++)
                sum += str[i] - '0';
            Console.WriteLine(sum);
        }
    }
}