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⏳ - 2023 DAY 22 SOLUTIONS -⏳

Day 22: Sand

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  • 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