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;
using System.Collections.Generic;
using System.Linq;
using System.Text;

namespace ConsoleApplication46
{
    class Program
    {
        static void Main()
        {
            while (true)
            {
                string a = Console.ReadLine();int s = 0, d = 0;
                if (a == null) break;
                decimal[] b = a.Split().Select(decimal.Parse).ToArray();
                decimal c = b[0]/b[1];string e = c.ToString()+"00000000000000000000000000000000000000000";
                for( ; d < e.Length; d++)
                {
                    if (e[d] == '.') break;
                }
                for(int r = d + 1; r < b[2] + d + 1; r++)
                {
                    s += (int)char.GetNumericValue(e[r]);
                }
                Console.WriteLine(s);
            }
        }
    }
}