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
// 標準入力
var fs = require('fs'),
length = fs.fstatSync(process.stdin.fd).size,
buffer = new Buffer(length),
bytesRead = fs.readSync(process.stdin.fd, buffer, 0, length, 0),
input = buffer.toString('utf8', 0, bytesRead).trim().split('\n');
main();

function main(){
  for(var i = 0, len = input.length; i < len; i++){
    var c = input[i].split(' ');

    var div = c[0]/c[1] + '';
    var decimalNumber = div.split('.')[1].split('');

    var result = 0;
    for(var j = 0; j < +c[2]; j++){
      var num = +decimalNumber[j];
      result += num ? num : 0;
    }
    
    console.log(result);
  }
  
}