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>

int main(){

int s=0;
int d=10;
int A=0;
int n;
int a,b;

while(scanf("%d %d %d",&a,&b,&n)!=EOF){
int S=0;s=a%b;
for(int i=0;i<n;i++)
{
s*=10;
A=s/b;s=s%b;
S+=A;
}
printf("%d\n",S);
}
return 0;
}