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.util.*;

public class Main {
	Scanner in = new Scanner(System.in);
	public static void main(String[] args) {
		new Main();
	}
	public Main() {
		new AOJ0054();
	}
	
	class AOJ0054{
		
		void doIt(int a,int b,int n){
			int result = 0;
			double f = (1.0*a/b)-(a/b);
			String f_a = Double.toString(f);
			int cnt = 0;
			for(int i=2;i<f_a.length();i++){
				if(cnt==n)break;
				result += Integer.parseInt(f_a.charAt(i)+"");
				cnt++;
			}
			System.out.println(result);
		}
		
		public AOJ0054() {
			while(in.hasNext())doIt(in.nextInt(), in.nextInt(), in.nextInt());
		}
	}
}