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
object Main{
  def main(args: Array[String]): Unit = {
    var sc = new java.util.Scanner(System.in)
    while(sc.hasNext){
      var a:Double = sc.nextDouble
      var b:Double = sc.nextDouble
      var n:Int = sc.nextInt
      var nor:String = (a/b - Math.floor(a/b)).toString() + "00000000"
      var list = new Array[Int](n + 1000)
      for(i <- 0 until n){
        list(i) = nor.charAt(i + 2) - '0'
      }
      println(list.sum.toInt)
    }
  }
}