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
<?php
function aa($value, $i) {
    $value = explode(".", $value)[1];
    return substr($value, $i, 1);
}


for($j = 0; $j < 50; $j++) {
    fscanf(STDIN, "%d %d %d", $a, $b, $c);
    $value = $a / $b;
    $return = 0;
    for($i = 0; $i < $c; $i++ ){
    	$return += substr(explode(".", $value)[1], $i, 1);
    }
    echo $return."\n";    
}
?>