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);
		
		while(sc.hasNextInt()){
			int a = sc.nextInt();
			int b = sc.nextInt();
			int n = sc.nextInt();
			
			double d = (double)(a)/b;
			String str = "" + d;
			
			int sum = 0;
			int i = 0;
			boolean upper = true;
			System.out.println("" + d);
			for(char c:str.toCharArray()){
				if(upper){
					if(c == '.'){
						upper = false;
					}
				}else{
					i++;
					sum += c - '0';
					
					if(i >= n){
						break;
					}
				}
			}
			
			 System.out.println("" + sum);
			
		}
	}
}