object Main extends App {
  //Preconditions
  val multiplier = 33
 
  //Problem definition
  val problemSource = 0x98765432
  val problem: Int = problemSource * multiplier
  println(s"$problemSource * $multiplier = $problem")
 
  //Resolution
  val problemAsLong = problem.toLong & 0xFFFFFFFFL
  val overflowBit = 0x100000000L
  for(test <- 0 until multiplier) {
    if((problemAsLong + overflowBit * test) % multiplier == 0) {
      val originalLong = (problemAsLong + overflowBit * test) / multiplier
      val original = originalLong.toInt
      println(s"$original (test = $test)")
    }
  }
}
 

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