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 aoj
{
    static void Main()
    {
        while (true)
        {
            string a = Console.ReadLine();
            if (String.IsNullOrEmpty(a)) break;
            string[] b = a.Split(' ');
            int c = int.Parse(b[0]),d=int.Parse(b[1]),n=int.Parse(b[2]);
            double e = (double)c / (double)d;
            string f = e.ToString();
            string[] g = f.Split('.');
            if (g.Length == 0)
            {
                Console.WriteLine("0"); goto stop;
            }
            int k = 0;
            char[] h = new char[n];
            h=g[1].ToCharArray();
            for(int i = 0; i < h.Length; i++)
            {
                if (i <= n - 1)
                {
                    int l = (int)(h[i] - '0');
                    k += l;
                }
                else
                    break;
            }
            Console.WriteLine(k);
            stop:;
        }
    }
}