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 sc=new Scanner(System.in);
		double a,b,c;
		long d;
		int i,n,sum=0;
		while(sc.hasNext()){
			a=sc.nextDouble();
			b=sc.nextDouble();
			n=sc.nextInt();
			c=a/b;
			if(c>1){
				int f=(int) c;
				c=c-f;
			}
			c=c*1000000000;
			d=(long)c;
			String str=Long.toString(d);
			char ch[]=str.toCharArray();
			int e[]=new int[ch.length];
			for(i=0;i<e.length;i++){
				e[i]=ch[i]-'0';
			}
			for(i=0;i<n;i++){
				sum+=e[i];
			}
			System.out.println(sum);
			sum=0;
		}//while
	}
}