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.math.BigDecimal;
import java.math.RoundingMode;
import java.util.Scanner;

class Main {

    public static void main(String[] args) {

        Scanner sc = null;
        try {
            sc = new Scanner(System.in);
            while (sc.hasNextBigDecimal()) {

                BigDecimal a = sc.nextBigDecimal();
                BigDecimal b = sc.nextBigDecimal();
                int n = sc.nextInt();

                // divide
                String aDivideB = String.valueOf(a.divide(b, n,
                        RoundingMode.DOWN));

                // add
                char[] array = aDivideB.substring(aDivideB.indexOf(".") + 1)
                        .toCharArray();
                int s = 0;
                for (char c : array) {
                    s += Integer.parseInt(String.valueOf(c));
                }

                System.out.println(s);
            }
        } finally {
            sc.close();
        }
    }

}