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.*;
import java.math.*;

class Main{
	public static void main(String args[]){
		Scanner s=new Scanner(System.in);
		int a,b,c;
		while(s.hasNext()){
			a=s.nextInt();
			b=s.nextInt();
			c=s.nextInt();
			BigDecimal bd=new BigDecimal(a);
			bd=bd.setScale(c+5);
			bd=bd.divide(new BigDecimal(b),RoundingMode.HALF_DOWN).remainder(new BigDecimal(1));
			int sum=0;
			String str=bd.toPlainString();
			//System.out.println(str);
			for(int i=0;i<c;i++)sum+=str.charAt(2+i)-'0';
			System.out.println(sum);
		}
	}
}