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.Linq;

namespace _054_SumofNthdecimalplaces
{
	class Program
	{
		static void Main ( string[] args )
		{
			string inputStr;

			while ((inputStr = Console.ReadLine ()) != null)
			{
				int[] inputNum = inputStr.Split (' ').Select (int.Parse).ToArray ();

				int sum = 0;
				double fraction = inputNum[0] * 1.0 / inputNum[1];

				//??´??°??¨???????????????
				if (1.0 <= fraction)
				{
					int integer = (int) fraction;
					fraction -= integer;
				}

				//?°???°??????????±???????
				for (int lp = 0; lp < inputNum[2]; lp++)
				{
					fraction *= 10;
					int integer = (int) fraction;
					sum += integer;

					fraction -= integer;
				}

				Console.WriteLine (sum);
			}
		}
	}
}