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 ConsoleApplication1
{
    class Program
    {
        static void Main(string[] args)
        {
            StringBuilder sb = new StringBuilder();

            string input;

            while (!string.IsNullOrEmpty(input = Console.ReadLine()))
            {
                string[] temp = input.Split(' ');
                decimal a = decimal.Parse(temp[0]);
                decimal b = decimal.Parse(temp[1]);
                int n = int.Parse(temp[2]);

                decimal d = a / b;
                int sum = 0;

                for (int i = 0; i < n; i++)
                {
                    d *= 10;
                    sum += (int)d % 10;
                }
                sb.AppendLine(sum.ToString());
            }
            Console.Write(sb);
        }
    }
}