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
import java.io.BufferedReader;
import java.io.InputStreamReader;

public class Main{
	
	private static int a, b, n;
	private static char[] f;

	public static void main(String args[]) throws Exception {
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		String line;
		while((line=br.readLine()) != null){
			String[] arrays = line.split(" ");
			a = Integer.parseInt(arrays[0]);
			b = Integer.parseInt(arrays[1]);
			n = Integer.parseInt(arrays[2]);
			f = (String.valueOf((double)a/b).split("\\."))[1].toCharArray();
			
			int sum = 0;
			for(int i=0;i<n && i<f.length;i++){
				sum = sum + (int)(f[i]-'0');
			}
			System.out.println(sum);
		}

	}
}