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.Scanner;


public class Main
 {
	public static void main(String[] args){
		Scanner scan = null;
		try{
			double a , b;
			int n;
			scan = new Scanner(System.in);
			while(scan.hasNextInt()){
				a = scan.nextInt();
				b = scan.nextInt();
				n = scan.nextInt();
				double m =(a / b);
				m -= (int)m;
				int sum = 0;
				for(int i = 0 ; i < n;i++){
					m*=10;
					sum += (int)m;
					m -=(int)m;
				}
				System.out.println(sum);
			}
		}finally{
			if(scan !=null)scan.close();
		}
	}
}