Day 16

This reverts commit 7bd424d1f9.

aoc/src/dev/ctsk/aoc/Grid.scala

@@ -11,6 +11,9 @@ case class Point(x: Int, y: Int):
   def *(n: Int): Point = Point(n * x, n * y)
   def reduce: Point = { val g = gcd(x.abs, y.abs); Point(x / g, y / g) }
 
+val directions =
+  Seq(Direction.Up, Direction.Right, Direction.Down, Direction.Left)
+
 object Direction:
   def from(c: Char): Direction =
     c match
@@ -43,6 +46,7 @@ enum Direction:
       case Left  => Right
 
 case class Pose(pos: Point, dir: Direction):
+  def turnLeft: Pose = Pose(pos, dir.turnLeft)
   def turnRight: Pose = Pose(pos, dir.turnRight)
   def step: Pose = Pose(dir(pos), dir)
   def step(n: Int): Pose = Pose(dir.applyN(pos, n), dir)

aoc/src/dev/ctsk/aoc/Main.scala

@@ -17,7 +17,8 @@ val solvers = Map[Int, Solver](
   12 -> Day12,
   13 -> Day13,
   14 -> Day14,
-  15 -> Day15
+  15 -> Day15,
+  16 -> Day16
 )
 
 def runSolver(solver: Solver, input: os.Path): Unit =
@@ -27,15 +28,22 @@ def runSolver(solver: Solver, input: os.Path): Unit =
       println(solution.p1)
       println(solution.p2)
     case None =>
-      println(f"Preprocessing: ${timings.prep}%24s μs")
+      println(f"==============================================")
-      println(f"Part 1: ${solution.p1}%15s ${timings.p1}%15s μs")
+      println(f"Day ${solver.day}%02d ---------------------------------------")
-      println(f"Part 2: ${solution.p2}%15s ${timings.p2}%15s μs")
+      println(f"Prep ${timings.prep}%38s μs")
+      println(f"Part 1 ${solution.p1}%20s ${timings.p1}%15s μs")
+      println(f"Part 2 ${solution.p2}%20s ${timings.p2}%15s μs")
+      println(f"----------------------------------------------")
+
+      println(f"Total ${timings.total}%37s μs")
+
+      println(f"==============================================")
 
 @main def main(day: String, input: String): Unit =
   val num = """(\d+)""".r
   day match
     case "all" =>
-      solvers.foreach { case (day, solver) =>
+      solvers.toList.sortBy(_._1).foreach { case (day, solver) =>
         runSolver(solver, os.Path(input, os.pwd) / f"$day%02d.in")
       }
     case num(_) =>

aoc/src/dev/ctsk/aoc/Solution.scala

@@ -1,10 +1,11 @@
 package dev.ctsk.aoc
 
-case class Timings(prep: Long, p1: Long, p2: Long)
+case class Timings(prep: Long, p1: Long, p2: Long):
+  def total: Long = prep + p1 + p2
 
 case class Solution(p1: Object, p2: Object)
 
-abstract class Solver(day: Int):
+abstract class Solver(val day: Int):
   def run(input: os.ReadablePath): (Timings, Solution)
 
   def timed[A](solution: => A): (Long, A) =

aoc/src/dev/ctsk/aoc/days/Day16.scala

@@ -0,0 +1,65 @@
+package dev.ctsk.aoc.days
+
+import dev.ctsk.aoc.{Direction, *}
+
+import scala.collection.mutable
+
+object Day16 extends Solver(16):
+  override def run(input_ : os.ReadablePath): (Timings, Solution) =
+    val (pre_time, grid) = timed {
+      Grid(os.read.lines(input_).map(_.toArray).toArray)
+    }
+
+    val start = grid.findFirst(_ == 'S').get
+    val end = grid.findFirst(_ == 'E').get
+
+    case class State(distance: Int, pose: Pose)
+    implicit def ord: Ordering[State] = Ordering.by(-1 * _.distance)
+
+    Direction.Up.ordinal
+
+    def search(start: Pose): (Map[Pose, Int], Map[Pose, List[Pose]]) =
+      val distance = mutable.Map(start -> 0)
+      val ancestor = mutable.Map.empty[Pose, List[Pose]]
+      val heap = mutable.PriorityQueue(State(0, start))
+
+      inline def relax(u: Pose, v: Pose, vDist: Int): Unit =
+        val oldDist = distance.getOrElse(v, 1_000_000)
+        if vDist == oldDist then ancestor(v) +:= u
+        if vDist < oldDist then
+          ancestor(v) = List(u)
+          distance(v) = vDist
+          heap.enqueue(State(vDist, v))
+
+      while heap.nonEmpty do
+        val State(uDist, u) = heap.dequeue()
+        if uDist == distance(u) then
+          if !grid(u.step.pos).contains('#') then relax(u, u.step, uDist + 1)
+          for (v <- Seq(u.turnLeft, u.turnRight)) do relax(u, v, uDist + 1000)
+
+      (distance.toMap, ancestor.toMap)
+
+    val (p1_time, (distance, ancestor)) = timed {
+      search(Pose(start, Direction.Right))
+    }
+
+    val endPose = directions.map(Pose(end, _)).minBy(distance(_))
+
+    val p1 = distance(endPose)
+
+    val (p2_time, p2) = timed {
+      val all = mutable.Set(endPose)
+      var cur = Set(endPose)
+
+      println(start)
+      while cur.nonEmpty do
+        cur = cur.filter(_ != Pose(start, Direction.Right)).flatMap(ancestor(_))
+        all.addAll(cur)
+
+      all.map(_.pos).size
+    }
+
+    (
+      Timings(0, p1_time, p2_time),
+      Solution(Int.box(p1), Int.box(p2))
+    )

data/16.ans

@@ -0,0 +1,2 @@
+106512
+563

data/16.in

@@ -0,0 +1,141 @@
+#############################################################################################################################################
+#.....#.....#.....#.........#.....#.......#...#.........#.....#.....#...........#...#.............#.....#.....#...........#.....#..........E#
+#.###.#.###.#.###.#####.#.#.#.###.#.#####.#.#.#.###.###.#.#.###.###.#.#######.###.#.#.###.#######.###.#.###.###.###.#####.#.###.#.#####.###.#
+#.#.....#.#.#.#.....................#.....#.....#...#...#.#.......#.#...#...#.....#.#.#.#.....#.#.....#...#...#.#.#...#.....#...#...#...#...#
+#.#######.#.#.#######.###.#.###.###.#.#.###.#####.#.#.###.#######.#.###.#.#.#######.#.#.#####.#.#########.###.#.#.###.#######.###.###.###.###
+#...........................#...#...#.#.#...........#.#...#.#...#.#.#...#.#.....#...........................#.......#...#...#...#.#...#.....#
+#.###.#.#.#.###.#.#.#######.#####.#.#.#.#.###.###.#.#.#.###.#.#.###.#.###.#####.#.#.#####.#.###.###.#######.###########.#.#.###.#.#.###.#####
+#.#...#.#.#.#...#.#...#...........#.........................#.#...#.#.#...#...#.#.#...#...#.#.......#.#...#.........#...#.#.#...#.#.#...#...#
+#.#.###.#.#.#.###.#####.#####.#####.#.###.###.#.#.#.#########.###.#.#.#####.#.#.#.###.#.###.#.#######.#.#.#########.#.#####.#.###.#.#####.#.#
+#.#...#.#...#.#.......#.#.....#...#.#...#.....#...#...........#.#.#.........#...#...............................#...#...#...#.#...#...#...#.#
+#.###.#.#####.#######.#.#.#######.#.#.#.#######.#.#.#.###.#####.#.###.#.#######.#######.#.#.#####.###.#.#.#.#.#.#.#####.#.###.#######.#.###.#
+#.#.#.#.......#.......#...#.#.....#.#.#.......#.#.#.#.#...#...#.....#.#.....#...#.........#.#...#.....#.................#.......#...#...#...#
+#.#.#.#########.#####.#####.#.#.###.#.#.#######.#.#.#.#.###.#.#####.#.#####.#.#########.#.#.###.###.###.#.#.###.#.#.#.#########.#.#.#####.#.#
+#...#.#.........#.......#...#.#.....#.#.....#...#...........................#.........#...#.............#.#...#...#.#.....#...#...#.......#.#
+###.#.#.#####.###.###.#.#.#.#.#######.#####.#.###.###.###.#.#####.#.#.###########.###.#.#####.#.#.###.###.###.#####.#####.#.#.#############.#
+#...#.#.....#.....#...#...#.......#.....#...#.#.....#.#...#.#...#.#...#.............#.#...#...#.....#...#...#.#...#.#...#...#.#.............#
+#.#.#.#####.#######.#.###########.#.#####.#.#.#.###.#.#####.#.###.###.#######.#.#.###.###.#.#######.#.#####.#.#.#.#.#.#.#####.###.#.#######.#
+#...#...#.#...#.....#.........#...#...#...#.#.#.#...#.......#...#.#.#.#.....#.#...#.......#.......#.#.#.....#.#.#.....#.....#...#.#.....#...#
+#.#####.#.###.#####.#########.#.###.#.#.###.#.###.#############.#.#.#.#.###.#.#.###.###########.#.#.#.#.#####.#.###########.###.#####.#.#.###
+#.#.....#...#.....#.........#...#.#...#...#.#...#...#...........#.#...#.#.#.#.#.....#.#.......#.#.....#.#...#.#...#...#.....#.#.....#.#...#.#
+#.#.#.#####.###.#.#####.#########.###.###.#.###.#.#.#.###.#####.#.#.###.#.#.#####.###.#.#####.#########.#.#.#.#.###.#.#.#####.#####.#.#####.#
+#.#.#.#...#.....#.....#...............#...#.#.#.#...#.#.#...#.#.#.#.#...#.#.....#.....#.#...#.....#.....#.#.#.#.#...#.#.#.....#.....#.#.....#
+#.#.###.#.#.#########.#.###############.###.#.#.#.###.#.###.#.#.#.#.#.###.#####.#######.#.#######.#.#######.#.###.###.#.#.#.###.#####.#.###.#
+#.#.....#.#.......#...#...#...........#...#...#.#...#.#...#.#.#.#.#...#.........#.......#.......#.#.#.......#.....#.#.#.#.#.#.......#.#.#...#
+#.#######.#####.###.#####.#.#.#######.###.#####.###.#.#.#.#.#.#.#.#############.#.#########.###.#.#.###.###########.#.#.#.###.###.#.#.#.###.#
+#.#.....#.#...#.#...#...#.#.#.#.....#.#.#.....#...#.....#...#.#.#...#.........#...........#...#.....#...#.........#...#.#...#.#...#.#.#...#.#
+#.#.#####.#.#.#.#.###.###.###.#.###.#.#.#####.###.###.#####.#.#.###.#.#######.#.#######.#.###########.###.#######.#.###.#.#.#.###.###.###.#.#
+#...#.....#.#...#...#...#.....#...#.........#.......#.#...#.#.....#.........#.#.#.....#.#.......#.....#.....#...#.#.#...#.#.#...#...#.....#.#
+###.#.#####.###.###.###.#.###############.#######.#.###.#.#.#.#############.#.#.#.###.#########.#.#####.#####.#.#.#.###.###.###.#.#.#######.#
+#.#.#.#.......#.#.#...#...#.............#.#.......#...#.#...#.#...........#.#.#...#.#...........#.........#...#...#...#.....#...#...........#
+#.#.#.#.#.#.#.#.#.###.#.#.#.#####.#.###.###.#####.###.#.#####.#.#.#######.###.#.###.#############.#########.#.#######.#.#####.###.#.###.#####
+#...#.#.#...#.#.....#.#...#.......#.#...#...#...#...#...#...#.#...#.....#.#...#...........#.....#...#.......#.#.....#...#.....#...#...#.#...#
+#.###.#.#####.###.###.#.#######.#.#.#.###.###.#####.#####.###.#.#.#.###.#.#.###.###.#######.###.###.#.#######.#.###.#.#.#.###.#####.#.#.###.#
+#...#.#.#...#.#.#.#...#...#.#...#...#.#...#...........#.....#...#.#...#.#...#...#.#.#.......#.#...#.#.......#.....#...#.#...#.#.....#.#...#.#
+###.#.###.#.#.#.#.#.#####.#.#.#######.#.###.#########.#####.###.#.###.#.#####.###.#.#.#######.###.#.#######.#####.#########.###.###.#.###.#.#
+#...#.#...#...#...#...#.....#...#...#.#...#.....#...#.....#.....#...#.#...#.......#.#.....#...#...#.#.....#.......#...........#...#.#.......#
+#####.#.#.###.#######.#.#######.#.###.#.#.#######.#.#####.#######.#.###.#.#.#######.#####.#.#.#.###.#####.#########.#.###.#.#.#.###.#######.#
+#...#.#.#.....#...#...#.#.......#.....#.#.......#.#...#...#.....#.#...#.#.#...........#.#.#.#.#...#.#.....#...#.....#.#.#.#.#.......#...#...#
+#.#.#.#.#.#####.#.#.#####.###.###.#####.#.#####.#.###.###.#.###.#####.#.#####.#.#####.#.#.###.###.#.#.###.###.#.###.#.#.#.#######.#.#.#.#.###
+#...............#.........#...........#.#.....#.#...#...#...#...#.....#.......#.#...#.#.#...#...#.....#...#...#.#.....#.#...#.....#...#.#...#
+#.#####.#.#################.#########.###.###.#.###.###.#####.###.###.#.#.#####.#.#.#.#.###.#.#.#####.#.###.#.#.#.#####.###.#.###.#.###.###.#
+#...#.#...#...#...#.....#...#.......#...#...#...#...#.#.....#.#...#.#.........#.#...#.......#.#.......#.#...#.#.#.........#.#.............#.#
+###.#.###.#.#.#.#.###.###.###.#####.###.###.###.#.###.#####.#.#.###.#.#.#######.#.###.#####.###.#######.###.###.#.#####.###.#.#####.#.###.#.#
+#...#...#...#.#.#...#.......#.#...#.#...#.....#.#.#...#.....#...#.....#.........#.....#.....#...#.....#...#.....#.....#.....#.#.......#.#.#.#
+#.###.#.#.###.#.###.#.#.#####.#.#.#.###.#.#.#.#.#.#.#.#.#########.#####.#########.#####.#####.###.###.###.#.#########.#.#####.#.###.###.#.###
+#...#.#.......#...#...#.#.....#.#.#...#...#.....#.#.#.#.#...#.......#...#.........#.....#.....#...#.#...#.#.......#.#.#...#.....#.......#...#
+#.#.#####.#.#.#.#.###.###.#####.#.###.#####.#####.#.#.#.#.###.#######.###.###.#.###.#######.#.#.###.###.#.#######.#.#.###.#.#######.#.#.###.#
+#.#.......#...#...#.#...#.....#.....#.#...#...#...#.#.#.#.....#.......#...#...#...#.#.......#...#.....#...#.#.......#.#...#.#.......#.#.#.#.#
+#.#######.###.#.###.###.#####.#.###.#.#.#.###.#.#####.#.#######.###########.#.#####.###.#####.#.#.#.#######.#.#####.#.#.###.#####.#.#.#.#.#.#
+#.....#.#.............#.#...#...#...#.#.#...#.#...#...#.#.....#...#...#...#...#...#.....#.....#.#.#.#...#...#.#...#.#.#.#...#.....#.#.#...#.#
+#.###.#.#.###.#######.#.#.#.#.#.#####.#.###.#.###.#.#.#.#.###.###.#.#.#.#.#.#.#.#.#######.#####.#.###.#.#.#.#.#.#.###.#.#.#.#.#####.#.#####.#
+#.............#...#...#...#.....#.....#...#.........#.#...#.#.#...#.#...#...#...#...#.....#.....#.....#...#.#.#.#...#.#...#...#...#...#.....#
+#.###########.#.#.###############.#######.#############.###.#.#.#.#.###############.#.#.#.#.#####.#########.#.#.#.#.#.###.#####.###.#.#.###.#
+#.#.....#.....#.#...........#...#.......#.#...#.......#.....#.#.#.#.#...#.....#...#...#.#.#.....#.........#...#.#.#...#.........#.....#.#.#.#
+###.###.#.#.#.#.###.#######.#.#.#######.#.#.###.#####.#####.#.#.#.#.###.#.#.#.#.#.#####.#.#####.#########.#####.#.#####.###.###.#.#####.#.#.#
+#...#...#.#.....#.......#.#...#...#...#.#.....#.#...#.....#.#.#.#.#...#.#.#.#...#.#...#.#.#.....#...#...........#...#...#.....#.#.#.....#.#.#
+#.#####.#.###.###.#####.#.#######.#.#.#.#.#.#.#.#.#.#####.###.#.#####.#.#.#.#####.###.#.#.#.#####.#.#######.#######.#.###.#####.#.#.#####.#.#
+#.....#.#.......#.#...#.....#...#...#.#.#.#...#.#.#.....#...#.#.......#...#.#.........#.#.#.#.....#...#...#.#.....#...#...#...#...#...#.#...#
+#.###.#.#######.#.#.#.#.#####.#.###.#.#.#.#.###.#.#####.#.#.#.###.#########.#.#######.#.#.#.###.#.###.#.#.#.#.###.#.#####.#.#.#.#####.#.#.###
+#...#.#.#...#...#.#.#...#...#.#.............#...#.#...#.....#...#...........#...#.....#.#.#...#.#...#...#.#.....#.#.#...#.#.#.#.....#.#.....#
+#####.#.#.#.#.###.#######.#.#.#############.#.###.###.#########.###############.#.#####.#.###.#.###.###.#.#####.#.#.#.#.###.#.###.###.#####.#
+#.....#...#.#.#.#.........#...#.#...#.......#...#...#.....#.....#.........#...#.#.#.....#.#...#.#...#...#...#.#.#.#...#.....#...#.#...#...#.#
+#.#####.###.#.#.#.#.###########.#.#.#.#########.###.#.###.#.#.###.#######.#.#.#.#.#.#####.#.#####.###.#.###.#.#.#.#############.#.#.#.#.#.#.#
+#.............#.#.....#.........#.#...#.....#.#...#...#.#.#.#...#...#...#...#.#.........#.#.......#.........#...#.....#.........#.#.#.#.#.#.#
+#.###########.#.#####.###.#####.#.#####.#.#.#.###.#####.#.#.###.#.###.#.#.###.#.#######.#######.#.#########.#.#######.#########.###.###.#.#.#
+#.#.......#...#.....#.#...#.#...#.#...#.#.......#.#...#...#.#...#.#...#.#.#...#.#.....#.......#.#.#...#...#.#.......#...#.....#.....#...#.#.#
+#.#.#####.#.#.#.#.#.#.#.###.#.#.#.#.#.#.#.#.#####.#.#.#.#####.###.#.###.###.###.###.#####.#####.#.#.#.#.#.#.###########.#.###.#.#####.###.#.#
+#...#...#.#.#.#.#.#.#.#.#.......#...#.#.#.#.#.....#.#.#.......#...#.#.....#.#.......#.....#.....#...#...#.#...........#...#...#.#.....#.#.#.#
+#.###.#.#.###.#.#.###.#.#.###########.#.#.###.#####.#.#######.#.###.#####.#.#########.###.#.#########.###.###########.###.#.###.#.#####.#.###
+#.....#.#...#...#.....#.#.#.........#.#.#.#...#.....#.....#...#.........#.#.........#...#...........#...#.#.........#...#.#.#.#.#.#.........#
+#######.###.#.#####.###.###.#######.#.###.#.###.#######.#.#.#####.#####.#.#.#######.#.#.###########.#####.#.###.#######.#.#.#.#.#.#.###.###.#
+#.....#.#...#...#...#.#.............#.....#.#.....#...#.#.#.....#.#...#.#.#.#.#...#.#.....................#...#...#.....#.#.#...#.#.#...#.#.#
+#.###.###.#.###.#.#.#.#.###########.#####.#.#####.#.###.#.#####.#.###.###.#.#.#.#.#.#########.###########.#######.#.#####.#.#.###.###.#.#.#.#
+#.#.#...#.....#...#.#...#...........#.....#...#...#...#.#.....#.#.....#...#...#.#.#.....#...#...#...#.....#.....#.#.....#.#.#.#...#...#.#.#.#
+#.#.###.###.#.#####.#####.#######.###.#.#.###.#.#####.#.#######.###.#.#.#######.#.###.#.#.#.###.#.#.#######.###.#.#####.###.#.#.###.###.#.#.#
+#.#.........#...#.#...#...#.....#.#...#.....#.#.......#...#...#.#.#.#.#.........#...#.#.#.#.#...#.#...#.....#...#...#...#...#.#...#.#...#.#.#
+#.#########.###.#.###.#.#.#.###.###.#########.###########.#.#.#.#.#.#.###########.#.#.#.#.#.###.#.###.#.#####.#####.#.###.###.###.#.#.###.#.#
+#.#.....#.#.#...#.....#.#.#...#...#.....#...#.#.........#.....#...#...#.......#...#.#.#.......#.#.#.#...#.....#...#...#...#.....#...#.#...#.#
+#.#.###.#.#.#.###.#.###.#.###.###.###.#.#.#.#.#.#######.#####.#.#.###.#.#####.#.#.#.###.#####.###.#.#####.#####.#.#.###.#####.#######.#.#.#.#
+#...#...#...#...#...#...#...#.#.#.......#.#.#.#.#.....#.#.....#.#.#.#.#.....#...#.#...#.#...............#.....#.#.#.....#...................#
+#####.###.#.#.#.#.#####.#.###.#.#####.#.#.#.#.#.#.###.#.#.###.#.#.#.#.#.###.###.#####.###.#.###########.#####.#.#.#######.###############.#.#
+#.....#.#...#.#...#.....#.#...#.........#.#...#.......#...#.#...#...#.#...#...#.#...#.....#.....#...#...#.#...#.#...#.....#.......#...#...#.#
+#.#####.###.#.#.###.#.#####.###.#####.###.#####.#.#.###.###.###.#.###.###.###.###.#.###########.#.#.#.###.#.###.#.#.#.###########.#.#.###.#.#
+#.#...#...#...#.#.#.#.....#.#...#.......#.#.....#.#.......#.....#.....#.#...#.....#.......#.....#.#.........#.....#...............#.#...#.#.#
+#.#.#.#.#.#.###.#.#.#####.#.###.#.#####.#.#.#####.#.###.###.#####.#.###.###.#############.#.#############.#.#.#####.#########.#.###.###.###.#
+#...#.#.#.....#.#...#.....#...#.....#...#.#.#.#...#.#.#.....#.....#.#.........#.......#.............#...#.#...#.........#...#.#.#...#.#.....#
+#.###.#####.###.#.###.#######.#######.#.#.#.#.#.###.#.#######.#####.#.#######.#.#####.#.#.#########.#.#.#.###.#.###.#####.#.#.#.#.###.#######
+#.#.#.....#.....#...#.......#.#.....#...#.#...#...#...#.......#.#...#...#...#.#...#.....#.......#...#.#.#.#...#.....#.....#.#.#.#...#.......#
+#.#.#####.#.#.###.#########.#.#.###.###.#.###.###.###.#.#######.#.#######.#.#####.###############.###.#.#.#.#####.#.#.#####.#.#.###.#.###.#.#
+#.#.....#...#.#...#.......#.#.#.#.#...#.#.#.....#...............#.#.....#.#.......#.....#.......#.#...#.....#...#.#.#.#.#...#.#.#...#...#.#.#
+#.#.#.#.###.#.###.#.#####.#.#.#.#.###.#.#.###.#####.#####.#####.#.###.#.#.#.#####.#.###.#.#####.#.#.#########.#.#.#.#.#.#.#.#.#.#.###.#.#.###
+#.#.#.#.........#.#...#.....#.#.#...#.#.#...#.#...#.#...#.#...#.#.#...#...#.....#.#...#...#.#...#.#.#.....#...#.#.#.#.#.#.......#...#...#...#
+#.#.###.#######.#####.#######.#.#.#.#.#.###.###.#.###.#.###.#.#.#.#.#######.###.#####.#####.#.###.#.#.###.#.###.#.#.#.#.###########.#.#####.#
+#...........#.#.......#.....#.#.#.#.#.#...#.....#...#...#...#.#.#.#.#...#...#.#.....#.....#.#...#.....#.#.#.#.......#.#.#...........#...#...#
+#.###.#.###.#.#.#.###.#.###.#.#.#.#.#.#.###########.#.#.#.#.#.###.#.#.#.#.###.#####.#####.#.###.#######.#.#.#######.#.#.#.###########.#.#.#.#
+#...............#.#...#.#.#...#.#.#...#.........#.#...#...#.#.....#.#.#...#.......#.......#...#.......#...#.......#.#...#.......#.....#...#.#
+#####.#.#####.###.#.###.#.#####.###.#####.#####.#.#########.#######.#.#######.#.#.###########.#.#######.#########.###.###.#.###.#.###.#####.#
+#...#.#...#.......#.#...#.........#.....#...#.#...#...........#.....#.....#...#.#.#...........#...#...#.#.......#.....#...#.#.....#.......#.#
+#.###.#.#.#######.###.###.#######.#.###.###.#.###.#.#####.#.#.###.#.#####.#.###.#.#.###.#.#######.#.#.#.#.#####.#####.#.###.#######.#.###.#.#
+#...#...#.......#.#...#.......#...#...#.....#.#...#...#.#...#...#.#.....#.#...#.#.#.#.#.#.......#...#.#...#...#.......#.......#.......#.#.#.#
+#.#.###.#######.#.#.#####.#####.###.#########.#.#####.#.###.###.#.###.###.#.#.#.#.#.#.#.#.#####.#####.#####.#.#####.#.#.#####.#.#####.#.#.###
+#.#...#.....#...#.#.....#.......#.....#.......#.#...#.....#.#...#...#.....#.#...#.....#.......#.#.........#.#.......#.#.....#...........#...#
+#.#.#.#.###.#.###.#####.###.#####.###.#.#####.#.#.#####.###.#.###.#####.#.#.#.#.#.###########.#.#.#######.#.###.#.###.#####.###.#.#.#.#####.#
+#.#.#.#.....#...#.....#.#...#.....#...#.#...#...#.....#.#...#...#.#.....#.#.#.#.#...#.....#.#.#.#.......#.#...#.#.#.......#.................#
+#.#.###.#######.#.#####.#.###.#####.#.#.#.###########.#.#.#####.###.#####.###.#.#####.###.#.#.#.#######.#.#.#.#.#.###########.#.#.#####.#.#.#
+#.#...#.......#.#.#.........#.#...#.#.#.#...........#.#.#.#...#...#.....#.....#.......#.......#...#.....#.#.#.#.#.............#.#.#...#...#.#
+#.###.#.###.#.#.###.#######.#.#.###.#.#.#.#####.###.#.#.#.###.###.#.###.#####.#########.#########.#.#####.###.#.###############.#.#.#.#####.#
+#...#...#.....#...#...#.....#...#...#.#.#.#.#...#.......#...#.....#.#.#.......#...#...#.#.....#...#.#...#.....#.....#.......#...#...#.#.#...#
+###.#.###.#.#####.###.#.#######.#.#####.#.#.#.#########.###.#.#####.#.#########.#.#.#.#.#.###.#.###.#.#.#######.#.#.#.#####.#.#####.#.#.#.###
+#...#.#...#.........#...#.....#.#...#...#.#.#.............#.#.....#.....#.......#...#.#...#.#.#.#...#.#.......#.#.#.#.....#.......#.#.......#
+#.###.#.###.#######.#######.#.#####.#.###.#.#############.#.#####.#######.###########.#####.#.#.#.###.#####.###.#.#.###.#########.#.#.#.#.#.#
+#.................#...#.....#.....#.#.#.#...#.......#...#.#.....#.....#...#.........#...#...#...#...#...#...#...#.#.....#.....#.#...#.#.#.#.#
+###.#####.#.#.###.###.###.#######.#.#.#.#.###.#####.#.#.#.#####.#####.#.###.###.#######.#.#.#.#.###.###.#.###.###.#######.###.#.###.#.#.#.#.#
+#.#.......#.....#...#...#.#.....#...#.....#...#...#.#...#.....#...#.....#.#.#.#.........#.#...#...#.#...#.#...#...#...#...#...#.....#.#.....#
+#.###.#####.###.###.###.#.#.###.###.#.#####.###.#.#.#.#.#####.###.#######.#.#.###########.#.#####.#.#.###.#.###.###.#.#.###.###.###.#.#.#####
+#...#.#...........#.#.....#...#.#...#.......#.....#...#.#.....#...#...#...............#...#.......#.#.#.#.#.#.#...#.#...#.#...#.#.....#.#...#
+#.###.#.###.#######.#######.###.#.#############.#.#####.#######.#.#.#.#######.#######.#.###########.#.#.#.#.#.#.###.#####.###.###.#.#####.#.#
+#.....#...#.....#...#.......#...#.....#.........#.....#.#.......#.#.#.....#.....#.....#.....#.......#.#.#...#...#.....#.....#...#...#.....#.#
+#########.#.#.#.#.###.#.#.###.###.#####.#.#####.#######.#.#########.#####.#.#.###.#######.###.#####.#.#.#########.#.#.#.###.###.###.#.#####.#
+#.........#...#.#.....#.#...#...#.#.....#...........#...#.#...#...#.#...#.#.#.......#.....#...#...#...#.........#...#.....#...#...#.....#...#
+#.#########.#.#.#.#####.###.###.#.#.#.#############.#.###.#.#.#.#.#.###.#.#########.#.#.###.#.#.#.###.#####.###.#.#.#.###.###.###.#.#.###.#.#
+#.#.........#...#.....#.#...#.#...#...#.........#.....#.#...#.#.#...#...#.........#...#...#.#.#.#...#.#.....#...#.#.#.......#...#.........#.#
+#.###.#####.#.#########.###.#.#######.#.#######.#.###.#.#.###.#.#####.#######.###.#######.#.###.###.#.#.#####.#####.#######.#.#.###.#######.#
+#...#.#.....#...#.....#...#...#.....#.#.......#.#.....#...#...#...#...#.......#.#...#.#.....#...#...#.#...#.#.....#.......#.#.#.........#.#.#
+###.###.###.###.#.###.###.###.#####.#.#########.#######.###.#####.###.#.#.###.#.###.#.#.#####.###.###.###.#.#####.#.#####.###.#.###.###.#.#.#
+#...#...#.#...#...#.#.....#...#.....#.........#.......#.#.#.....#...#...#...#...#...#.....#...#...#.#.....#...#...#.#.....#...#.#.....#...#.#
+#.###.###.###.#####.#######.###.###.#######.#.#.###.###.#.#####.###.###.###.#####.#.#####.#.###.###.#######.###.###.#.#####.###.#.#.#.#####.#
+#...........#.#.....#.#.....#...#.#.#.#.......#.......#.#.....#...........#.....#.#.#.........#...#...#.....#...#...#.......................#
+#.#####.###.#.#.###.#.#.#######.#.#.#.#.#######.#####.#.#####.#########.#.#####.#.###.###.#######.#.#.#.###.#.#.#####.#.#.#.#####.#.###.#.###
+#.......#...#.#.#.....#...#.....#.#...#.#.....#...#.#.......#...#...#...#.#.....#...........#...#.#.#.#.#.#...#.......#.#.#.......#...#.#.#.#
+#########.###.#.#####.###.#.#####.###.#.###.#.###.#.#######.###.#.#.#.#.#.#.###.###########.#.#.#.#.#.#.#.#####.#######.#.###########.#.#.#.#
+#.....#...#...#.....#...#.#.#.....#...#...#.#.......#.....#.....#.#.#.......#.....#.....#...#.#...#.#.#.#...#.....#.....#.#...........#...#.#
+#.#####.###.#####.#.###.#.#.#####.#.#####.#.#######.#.###.#######.#.###.#########.#.###.###.#.#######.#.#.#.###.#.#.###.#.#.###.#####.#####.#
+#.#.......#.#...#.#.#...#...#...#.......#.#.#...#.#.#.#...#.......#...#...#.....#.#.#.#.......#.......#...#...#...#.#.#.#.#.................#
+#.#.#######.#.#.###.#####.###.#.#####.###.###.#.#.#.#.###.#.#########.#.#.#.###.###.#.#####.###.#####.#######.#.###.#.#.#.#.#.###.#.#####.#.#
+#...#.....#.#.#...#.......#...#.....#.#...#...#.#...#...#...#.......#...#.#...#.....#.....#.....#.....#.......#.#.....#.#.#.#...#.#.....#.#.#
+#.###.#.#.#.#.###.###.#####.#######.###.###.###.#.#####.#.#####.#######.#.###.#######.###.#.###.#######.#######.#.#####.#.#####.#.###.#.#.#.#
+#.#...#.#.................#.......#.....#...#...#.#...#.......#.#...#...#.#...#.....#.#.#.#.#.#.....................#...#.....#.#...#.#.#.#.#
+#.###.#.#####.#.###.###.#.#######.#.#######.#.#####.#.###.###.#.#.#.#.#.###.###.###.#.#.#.#.#.###.#.#.#.#.###.#.#.#.#.#######.#.###.#.###.#.#
+#S....#...........#.....#...................#.......#.........#...#.........#.....#.....#.......#...#.....#.....#...#...........#...#.......#
+#############################################################################################################################################