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.*;
import java.util.*;

class Main{
    public static void main(String[] args){
	BufferedReader sc=new BufferedReader(new InputStreamReader(System.in));
	String st;
	int a, b, n, s;
	try{
	    while((st=sc.readLine())!=null){
		String[] x = st.split(" ");
		a = Integer.valueOf(x[0]);
		b = Integer.valueOf(x[1]);
		n = Integer.valueOf(x[2]);
		double d = (double)a/b;
		int p = (int)(Math.pow(10, n)*d);
		s = 0;
		for(int i=0; i<n; i++){
		    s+=p%10;
		    p/=10;
		}
		System.out.println(s);
	    }
	}catch (Exception e){
	    System.out.println("Error");
	}
    }
}