feat(2024): add day 20 code

2024/src/day20.scala

@@ -0,0 +1,88 @@
+package day20
+
+import scala.annotation.tailrec
+import scala.collection.immutable.Range.Inclusive
+
+import locations.Directory.currentDir
+import inputs.Input.loadFileSync
+
+@main def part1: Unit =
+  println(s"The solution is ${part1(loadInput())}")
+
+@main def part2: Unit =
+  println(s"The solution is ${part2(loadInput())}")
+
+def loadInput(): String = loadFileSync(s"$currentDir/../input/day20")
+
+extension (x: Int) inline def ±(y: Int) = x - y to x + y
+extension (x: Inclusive)
+  inline def &(y: Inclusive) = (x.start max y.start) to (x.end min y.end)
+
+opaque type Pos = Int
+
+object Pos:
+  val up = Pos(0, -1)
+  val down = Pos(0, 1)
+  val left = Pos(-1, 0)
+  val right = Pos(1, 0)
+  val zero = Pos(0, 0)
+  inline def apply(x: Int, y: Int): Pos = y << 16 | x
+
+  extension (p: Pos)
+    inline def x = p & 0xffff
+    inline def y = p >> 16
+    inline def neighbors: List[Pos] =
+      List(p + up, p + right, p + down, p + left)
+    inline def +(q: Pos): Pos = Pos(p.x + q.x, p.y + q.y)
+    inline infix def taxiDist(q: Pos) = (p.x - q.x).abs + (p.y - q.y).abs
+
+case class Rect(x: Inclusive, y: Inclusive):
+  inline def &(that: Rect) = Rect(x & that.x, y & that.y)
+
+  def iterator: Iterator[Pos] = for
+    y <- y.iterator
+    x <- x.iterator
+  yield Pos(x, y)
+
+object Track:
+  def parse(input: String) =
+    val lines = input.trim.split('\n')
+    val bounds = Rect(0 to lines.head.size - 1, 0 to lines.size - 1)
+    val track = Track(Pos.zero, Pos.zero, Set.empty, bounds)
+    bounds.iterator.foldLeft(track) { (track, p) =>
+      lines(p.y)(p.x) match
+        case 'S' => track.copy(start = p)
+        case 'E' => track.copy(end = p)
+        case '#' => track.copy(walls = track.walls + p)
+        case _   => track
+    }
+
+case class Track(start: Pos, end: Pos, walls: Set[Pos], bounds: Rect):
+  lazy val path: Vector[Pos] =
+    inline def canMove(prev: List[Pos])(p: Pos) =
+      !walls.contains(p) && Some(p) != prev.headOption
+
+    @tailrec def go(xs: List[Pos]): List[Pos] = xs match
+      case Nil                => Nil
+      case p :: _ if p == end => xs
+      case p :: ys            => go(p.neighbors.filter(canMove(ys)) ++ xs)
+
+    go(List(start)).reverseIterator.toVector
+
+  lazy val zipped = path.zipWithIndex
+  lazy val pathMap = zipped.toMap
+
+  def cheatedPaths(maxDist: Int) =
+    def radius(p: Pos) =
+      (Rect(p.x ± maxDist, p.y ± maxDist) & bounds).iterator
+        .filter(p.taxiDist(_) <= maxDist)
+
+    zipped.map { (p, i) =>
+      radius(p)
+        .flatMap(pathMap.get)
+        .map { j => (j - i) - (p taxiDist path(j)) }
+        .count(_ >= 100)
+    }.sum
+
+def part1(input: String): Int = Track.parse(input).cheatedPaths(2)
+def part2(input: String): Int = Track.parse(input).cheatedPaths(20)