Scala3
Not much to say about this, very straightforward implementation that was still fast enough
case class Pos3(x: Int, y: Int, z: Int)
case class Brick(blocks: List[Pos3]):
def dropBy(z: Int) = Brick(blocks.map(b => b.copy(z = b.z - z)))
def isSupportedBy(other: Brick) = ???
def parseBrick(a: String): Brick = a match
case s"$x1,$y1,$z1~$x2,$y2,$z2" => Brick((for x <- x1.toInt to x2.toInt; y <- y1.toInt to y2.toInt; z <- z1.toInt to z2.toInt yield Pos3(x, y, z)).toList)
def dropOn(bricks: List[Brick], brick: Brick): (List[Brick], List[Brick]) =
val occupied = bricks.flatMap(d => d.blocks.map(_ -> d)).toMap
@tailrec def go(d: Int): (Int, List[Brick]) =
val dropped = brick.dropBy(d).blocks.toSet
if dropped.intersect(occupied.keySet).isEmpty && !dropped.exists(_.z <= 0) then
go(d + 1)
else
(d - 1, occupied.filter((p, b) => dropped.contains(p)).map(_._2).toSet.toList)
val (d, supp) = go(0)
(brick.dropBy(d) :: bricks, supp)
def buildSupportGraph(bricks: List[Brick]): Graph[Brick, DiEdge[Brick]] =
val (bs, edges) = bricks.foldLeft((List[Brick](), List[DiEdge[Brick]]()))((l, b) =>
val (bs, supp) = dropOn(l._1, b)
(bs, supp.map(_ ~> bs.head) ++ l._2)
)
Graph() ++ (bs, edges)
def parseSupportGraph(a: List[String]): Graph[Brick, DiEdge[Brick]] =
buildSupportGraph(a.map(parseBrick).sortBy(_.blocks.map(_.z).min))
def wouldDrop(g: Graph[Brick, DiEdge[Brick]], b: g.NodeT): Long =
@tailrec def go(shaking: List[g.NodeT], falling: Set[g.NodeT]): List[g.NodeT] =
shaking match
case h :: t =>
if h.diPredecessors.forall(falling.contains(_)) then
go(h.diSuccessors.toList ++ t, falling + h)
else
go(t, falling)
case _ => falling.toList
go(b.diSuccessors.toList, Set(b)).size
def task1(a: List[String]): Long = parseSupportGraph(a).nodes.filter(n => n.diSuccessors.forall(_.inDegree > 1)).size
def task2(a: List[String]): Long =
val graph = parseSupportGraph(a)
graph.nodes.toList.map(wouldDrop(graph, _) - 1).sum