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 stdin = new Scanner(System.in);

		String str = null;
	    String strSplit = null;
		String[] strs;
		int point = 0;
		int a = 0;
		int b = 0;
		int ans = 0;
		int n = 0;
		double f = 0;

		while(stdin.hasNext()) {
			a = stdin.nextInt();
			b = stdin.nextInt();
			n = stdin.nextInt();
			f = (double)a / (double)b;
 			str = String.valueOf(f);
			point = str.indexOf(".");
			strSplit = str.substring(point + 1);
			strs = strSplit.split("");
			for(int i = 0; i < n; i++) {
				if(i < strs.length) {
					ans += Integer.parseInt(strs[i]);
				}
				
			}
		
			System.out.println(ans);
			ans = 0;
		}
	}

}