Problem:
Score : 400 points

Problem Statement

Given are integers A, B, and N.

Find the maximum possible value of floor(Ax/B) - A × floor(x/B) for a non-negative integer x not greater than N.

Here floor(t) denotes the greatest integer not greater than the real number t.

Constraints

1 ≤ A ≤ 10^{6}

1 ≤ B ≤ 10^{12}

1 ≤ N ≤ 10^{12}

All values in input are integers.

Input

Input is given from Standard Input in the following format:

A B N

Output

Print the maximum possible value of floor(Ax/B) - A × floor(x/B) for a non-negative integer x not greater than N, as an integer.

Sample Input 1

5 7 4

Sample Output 1

2

When x=3, floor(Ax/B)-A×floor(x/B) = floor(15/7) - 5×floor(3/7) = 2. This is the maximum value possible.

Sample Input 2

11 10 9

Sample Output 2

9

Solution in Kotlin (1.3.71) (judge verdict: Runtime Error)

import java.util.*

fun main(args: Array<String>) {
  val sc = Scanner(System.`in`)
  val a = sc.nextInt()
  val b = sc.nextInt()
  val n = sc.nextInt()

  println(abc165d(a, b, n))
}

private fun abc165d(a: Int, b: Int, n: Int): Int {
  var ans = Int.MIN_VALUE
  for (i in 1..n) {
    val tmp = Math.floor(((a * i)/b).toDouble()) - 5 * Math.floor((i/b).toDouble())
    if (tmp > ans) ans = tmp.toInt()
  }

  return ans
}