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.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
 

 class Main{
             
     
     public static void main(String args[]){
         BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
         
         try{
             String line;
             
             while((line=br.readLine())!= null){if(line.isEmpty())break;
                String[] spl=line.split(" ");
                int a=Integer.parseInt(spl[0]);
                int b=Integer.parseInt(spl[1]);
                int c=Integer.parseInt(spl[2]);
                double d=a/(b+0.0);int count=0;
                for(int i=0;i<c;i++){
                    d*=10;//System.out.println(d);
                    int k=(int)d;//System.out.println(k);
                    count+=k%10;
                }
                 System.out.println(count);
                
             }
             
         }catch(Exception e){}         
     }
   
 }