import scala.io.Source

val input = Source.fromFile("C:/work/advent05/input2").getLines.toList

def toTuple3(list: List[Int]) = (list(0), list(1), list(2))

def surfaceArea(w: Int, l: Int, h: Int) =
  (2 * l * w) + (2 * w * h) + (2 * h * l)

def smallestSideArea(w: Int, l: Int, h: Int) =
  List(w, l, h).sorted.take(2).product

def wrappingPaperAmount(w: Int, l: Int, h: Int) =
  surfaceArea(w,l,h) + smallestSideArea(w,l,h)

input.map(_.split('x').toList.map(_.toInt))
  .map(toTuple3)
  .map((wrappingPaperAmount _).tupled)
  .sum


def smallestPerimeter(w: Int, l: Int, h: Int) =
  List(w, l, h).sorted.take(2).sum * 2

def bowLength(w: Int, l: Int, h: Int) =
  w * l * h

def ribbonLength(w: Int, l: Int, h: Int) =
  smallestPerimeter(w,l,h) + bowLength(w,l,h)

input.map(_.split('x').toList.map(_.toInt))
  .map(toTuple3)
  .map((ribbonLength _).tupled)
  .sum