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
#include <stdio.h>
#include <stdlib.h>


int main(){
	
	int a, b;
	double c;
	char str[100];
	int n, s;
	
	int i;
	
	while(1){
		
		ret = scanf("%d %d %d", &a, &b, &n);
		
		if(ret == EOF){
			
			break;
			
		}
		
		s = 0;
		c = (double)a/(double)b;
		str[0] = '\0';
		
		snprintf(str, sizeof(str), "%f", c);
		
		for(i=2; i<n+2; i++){
			
			s += (str[i]-'0');
			
		}
		
		printf("%d\n", s);
		
	}
	
}