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.MathContext;
import java.util.*;

class Main {
	Scanner sc = new Scanner(System.in);

	public void run() {
		while(sc.hasNext()){
			BigDecimal a=sc.nextBigDecimal();
			BigDecimal b=sc.nextBigDecimal();
			BigDecimal r=a.divide(b,MathContext.DECIMAL128);
			int n=sc.nextInt();
			int sum=0;
			for(int i=0;i<n;i++){
				r=r.multiply(BigDecimal.TEN);
				sum+=r.remainder(BigDecimal.TEN).intValue();
			}
			ln(sum);
		}
	}

	public static void main(String[] args) {
		new Main().run();
	}

	public static void pr(Object o) {
		System.out.print(o);
	}

	public static void ln(Object o) {
		System.out.println(o);
	}

	public static void ln() {
		System.out.println();
	}
}