trick of mind

TrickOfMind

/**
 * Developed with pleasure :)<br>
 * User: HoD<br>
 * Date: 02.12.11<br>
 * Time: 19:48<br>
 */

object TrickOfMind {
  def main(args: Array[String]) {
    val range = 1 to 15

    def combinations =  for (a <- 1 to 15;b <- 1 to 15;c <- 1 to 15) yield List(a, b, c)
    val cCount = combinations.size
    val dcCount = (combinations filter {_.sum % 3 == 0}).size

    def uniqueCombinations = combinations.filter(_.distinct.size==3)
    val ucCount = uniqueCombinations.size
    val udcCount = (uniqueCombinations filter {_.sum % 3 == 0}).size

    println("unique combinations: "+uniqueCombinations.toList);
    println("unique divisible combinations: "+uniqueCombinations.filter(_.sum % 3 == 0).toList);
    println("unique combinations total: "+ucCount);
    println("unique combinations divisible: "+udcCount);
    println("ratio: "+udcCount / ucCount.toDouble);

    println("combinations: "+combinations.toList);
    println("divisible combinations: " + combinations.filter(_.sum % 3 == 0).toList);
    println("combinations total: "+cCount);
    println("combinations divisible: "+dcCount);
    println("ratio2: "+dcCount / cCount.toDouble);

  }
}