Day 16: Early exit search loop

This reverts commit 7bd424d1f9.

.aocbench.yaml

@@ -4,8 +4,8 @@ language: "scala"
 dockerfile: "Dockerfile"
 code: "/code"
 workdir: "/code"
-runonce: "./mill aoc.assembly"
-cmd: "java -jar ./out/aoc/assembly.dest/out.jar %day% %input%"
+runonce: "./mill aoc.nativeImage"
+cmd: "./out/aoc/nativeImage.dest/aoc %day% %input%"
 environment:
   - AOC_BENCH=1
 daypath: "aoc/src/dev/ctsk/aoc/days/Day%dayzero%.scala"

Dockerfile

@@ -1,9 +1,15 @@
-FROM eclipse-temurin:23-jdk-alpine
+FROM eclipse-temurin:23-jdk
 
-RUN apk add curl
+RUN apt-get update && apt-get install -y curl gzip build-essential libz-dev
+RUN curl -fL "https://github.com/coursier/launchers/raw/master/cs-x86_64-pc-linux.gz" | gzip -d > cs
+RUN chmod +x cs
+RUN cp cs /usr/local/bin
+RUN ./cs setup --yes
 
 COPY . /build
 
 WORKDIR /build
 
-RUN ./mill aoc.assembly
+RUN ./mill aoc.assembly
+
+RUN ./mill aoc.nativeImage

aoc/src/dev/ctsk/aoc/DisjointSets.scala

@@ -0,0 +1,27 @@
+package dev.ctsk.aoc
+
+import scala.collection.mutable
+
+case class DisjointSets[A](members: Seq[A]):
+  private val parent = mutable.Map.from(members.zip(members))
+  private val rank = mutable.Map.from(members.map(_ -> 1))
+
+  def joint(m1: A, m2: A): Boolean = find(m1) == find(m2)
+
+  def find(member: A): A =
+    val up = parent(member)
+    if up == member then up
+    else {
+      val root = find(up); parent(member) = root; root
+    }
+
+  def union(m1: A, m2: A): Unit =
+    val p1 = find(m1);
+    val p2 = find(m2)
+    if p1 == p2 then return
+    val r1 = rank(p1);
+    val r2 = rank(p2)
+    r1.compare(r2) match
+      case k if k < 0 => parent(p1) = p2
+      case 0          => parent(p1) = p2; rank(p2) += 1
+      case k if k > 0 => parent(p2) = p1

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

@@ -1,14 +1,31 @@
 package dev.ctsk.aoc
 
+import scala.reflect.ClassTag
+
+object Point:
+  def of(x: Long, y: Long): Point = Point(x.toInt, y.toInt)
+
 case class Point(x: Int, y: Int):
   def +(o: Point): Point = Point(x + o.x, y + o.y)
   def -(o: Point): Point = Point(x - o.x, y - o.y)
   def *(n: Int): Point = Point(n * x, n * y)
   def reduce: Point = { val g = gcd(x.abs, y.abs); Point(x / g, y / g) }
+  def manhattan: Int = x.abs + y.abs
+
+val DIRS = Seq(Direction.Up, Direction.Right, Direction.Down, Direction.Left)
+
+object Direction:
+  def from(c: Char): Direction =
+    c match
+      case '>' => Direction.Right
+      case '<' => Direction.Left
+      case '^' => Direction.Up
+      case 'v' => Direction.Down
 
 enum Direction:
   case Up, Right, Down, Left
   def turnRight: Direction = Direction.fromOrdinal((ordinal + 1) % 4)
+  def turnLeft: Direction = Direction.fromOrdinal((ordinal - 1 + 4) % 4)
 
   def toPoint: Point =
     this match
@@ -29,6 +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)
@@ -61,3 +79,18 @@ class Grid[A](val data: Array[Array[A]]):
 
   def contains(p: Point): Boolean =
     p.x >= 0 && p.y >= 0 && p.x < height && p.y < width
+
+  def points: Seq[Point] =
+    for
+      x <- data.indices
+      y <- data(x).indices
+    yield Point(x, y)
+
+  def fill(value: A): Unit =
+    for
+      row <- 0 until height
+      col <- 0 until width
+    do data(row)(col) = value
+
+  def sameSizeWith[B: ClassTag](value: B) =
+    Grid(Array.fill(height, width)(value))

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

@@ -12,7 +12,22 @@ val solvers = Map[Int, Solver](
   7 -> Day07,
   8 -> Day08,
   9 -> Day09,
-  10 -> Day10
+  10 -> Day10,
+  11 -> Day11,
+  12 -> Day12,
+  13 -> Day13,
+  14 -> Day14,
+  15 -> Day15,
+  16 -> Day16,
+  17 -> Day17,
+  18 -> Day18,
+  19 -> Day19,
+  20 -> Day20,
+  21 -> Day21,
+  22 -> Day22,
+  23 -> Day23,
+  24 -> Day24,
+  25 -> Day25
 )
 
 def runSolver(solver: Solver, input: os.Path): Unit =
@@ -22,15 +37,22 @@ 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"Part 1: ${solution.p1}%15s ${timings.p1}%15s μs")
-      println(f"Part 2: ${solution.p2}%15s ${timings.p2}%15s μs")
+      println(f"=============================================================")
+      println(
+        f"Day ${solver.day}%02d ------------------------------------------------------"
+      )
+      println(f"Prep ${timings.prep}%53s μs")
+      println(f"Part 1 ${solution.p1}%40s ${timings.p1}%10s μs")
+      println(f"Part 2 ${solution.p2}%40s ${timings.p2}%10s μs")
+      println(f"-------------------------------------------------------------")
+      println(f"Total ${timings.total}%52s 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/Memo.scala

@@ -0,0 +1,11 @@
+package dev.ctsk.aoc
+
+import scala.collection.mutable
+
+object Memo:
+  def Y[I, O](f: (I, I => O) => O): I => O =
+    lazy val yf: I => O = Memo(f(_, yf(_))); yf
+
+class Memo[-I, +O](f: I => O) extends (I => O):
+  private[this] val memo = mutable.Map.empty[I, O]
+  def apply(i: I): O = { lazy val o = f(i); memo.getOrElseUpdate(i, o) }

aoc/src/dev/ctsk/aoc/Parse.scala

@@ -1,6 +1,6 @@
 package dev.ctsk.aoc
 
-def NAT_REGEX = """(\d+)""".r
+def NAT_REGEX = """(-?\d+)""".r
 
 def longs(string: String): Vector[Long] =
   NAT_REGEX.findAllIn(string).map(_.toLong).toVector

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/Trie.scala

@@ -0,0 +1,25 @@
+package dev.ctsk.aoc
+
+import scala.collection.mutable
+
+class Trie(
+    var isPrefix: Boolean = false,
+    var children: mutable.Map[Char, Trie] = mutable.Map.empty
+):
+  def insert(w: String, pos: Int = 0): Unit =
+    if pos == w.length
+    then isPrefix = true
+    else
+      children.get(w(pos)) match
+        case Some(child) => child.insert(w, pos + 1)
+        case None =>
+          val child = Trie()
+          children(w(pos)) = child
+          child.insert(w, pos + 1)
+
+  def prefixes(w: String, pos: Int = 0, acc: List[Int] = Nil): List[Int] =
+    val newAcc = if isPrefix then pos +: acc else acc
+    if pos >= w.length then return newAcc
+    children.get(w(pos)) match
+      case None        => newAcc
+      case Some(child) => child.prefixes(w, pos + 1, newAcc)

aoc/src/dev/ctsk/aoc/Utils.scala

@@ -6,3 +6,8 @@ def gcd(a: Int, b: Int): Int =
 extension [A](xs: Seq[A])
   def pairs: Iterator[(A, A)] =
     xs.combinations(2).map(xs => (xs(0), xs(1)))
+
+def eea(a: Int, b: Int): (Int, Int, Int) =
+  if b == 0 then return (a, 1, 0)
+  val (d, x, y) = eea(b, a % b)
+  (d, y, x - y * (a / b))

aoc/src/dev/ctsk/aoc/days/Day05.scala

@@ -24,9 +24,7 @@ object Day05 extends Solver(5):
 
     @nowarn("msg=match may not be exhaustive")
     def isOrdered(u: Vector[Int]): Boolean =
-      !u.combinations(2).exists { case Seq(a, b) =>
-        rules.contains((b, a))
-      }
+      !u.pairs.exists((a, b) => rules.contains((b, a)))
 
     def findMiddle(u: Vector[Int]): Int =
       u.find(e =>

aoc/src/dev/ctsk/aoc/days/Day08.scala

@@ -22,13 +22,13 @@ object Day08 extends Solver(8):
             .flatMap((a, b) => Iterator(a + a - b, b + b - a))
             .filter(grid.contains)
         )
-        .toSet
+        .distinct
         .size
 
     def part2: Int =
       antennae
         .flatMap(_.pairs.flatMap(p => antinodes(p._1, p._2)))
-        .toSet
+        .distinct
         .size
   def run(input: os.ReadablePath): (Timings, Solution) =
     val (pre_time, ctx) = timed { Ctx(input) }

aoc/src/dev/ctsk/aoc/days/Day10.scala

@@ -4,41 +4,29 @@ import dev.ctsk.aoc._
 import dev.ctsk.aoc.Direction._
 
 object Day10 extends Solver(10):
-  type Input = (Grid[Char], Seq[Point])
+  type Input = Vector[(Point, Point)]
 
   def pre(input: os.ReadablePath): Input =
     val grid = Grid(os.read.lines(input).map(_.toArray).toArray)
-    val zero = grid.find(_ == '0').toSeq
-    (grid, zero)
 
-  def step(
-      grid: Grid[Char],
-      start: Seq[(Point, Point)],
-      height: Int
-  ): Seq[(Point, Point)] =
-    (for
-      (p, origin) <- start
-      a <- Seq(Up, Down, Left, Right)
-      if grid(a(p)).exists(_.asDigit == height)
-    yield (a(p), origin))
+    def step(seq: Input, height: Int): Input =
+      (for
+        (p, origin) <- seq
+        a <- Seq(Up, Down, Left, Right)
+        if grid(a(p)).exists(_.asDigit == height)
+      yield (a(p), origin)).toVector
 
-  def part1(input: Input): Int =
-    val (grid, zero) = input
-    (1 to 9)
-      .foldLeft(zero.zip(zero)) { case (acc, h) => step(grid, acc, h) }
-      .distinct
-      .size
+    val zero = grid.find(_ == '0').toVector
+    (1 to 9).foldLeft(zero.zip(zero)) { case (acc, h) => step(acc, h) }
 
-  def part2(input: Input): Int =
-    val (grid, zero) = input
-    (1 to 9)
-      .foldLeft(zero.zip(zero)) { case (acc, h) => step(grid, acc, h) }
-      .size
+  def part1(input: Input): Int = input.distinct.size
+
+  def part2(input: Input): Int = input.size
 
   def run(input: os.ReadablePath): (Timings, Solution) =
-    val (pre_time, (grid, zero)) = timed { pre(input) }
-    val (p1_time, p1_solution) = timed { part1((grid, zero)) }
-    val (p2_time, p2_solution) = timed { part2((grid, zero)) }
+    val (pre_time, pre_input) = timed { pre(input) }
+    val (p1_time, p1_solution) = timed { part1(pre_input) }
+    val (p2_time, p2_solution) = timed { part2(pre_input) }
 
     (
       Timings(pre_time, p1_time, p2_time),

aoc/src/dev/ctsk/aoc/days/Day11.scala

@@ -0,0 +1,40 @@
+package dev.ctsk.aoc.days
+
+import dev.ctsk.aoc._
+import scala.collection.mutable.{Map => MuMap}
+
+object Day11 extends Solver(11):
+  private def halves(n: Long): Option[(Long, Long)] =
+    val numDigits = (Math.log10(n) + 1).toLong
+    if numDigits % 2 == 1 then None
+    else
+      val mod = Math.pow(10, numDigits / 2).toLong
+      Some(n % mod, n / mod)
+
+  private def count(initial: Seq[Long], depth: Int): Long =
+    def step(stones: MuMap[Long, Long]): MuMap[Long, Long] =
+      val next = MuMap.empty[Long, Long].withDefaultValue(0L)
+      for ((stone, count) <- stones) {
+        if stone == 0 then next(1) += count
+        else
+          halves(stone) match
+            case Some((a, b)) =>
+              next(a) += count
+              next(b) += count
+            case None =>
+              next(stone * 2024) += count
+      }
+      next
+
+    val initMap = MuMap.from(initial.map((_, 1L)))
+    Seq.iterate(initMap, depth + 1)(step).last.values.sum
+
+  def run(input: os.ReadablePath): (Timings, Solution) =
+    val (pre_time, in) = timed { longs(os.read.lines(input).head) }
+    val (p1_time, p1_solution) = timed { count(in, 25) }
+    val (p2_time, p2_solution) = timed { count(in, 75) }
+
+    (
+      Timings(pre_time, p1_time, p2_time),
+      Solution(Long.box(p1_solution), Long.box(p2_solution))
+    )

aoc/src/dev/ctsk/aoc/days/Day12.scala

@@ -0,0 +1,77 @@
+package dev.ctsk.aoc.days
+
+import dev.ctsk.aoc.*
+import dev.ctsk.aoc.Direction.*
+import collection.mutable
+
+import scala.collection.mutable.ArrayBuffer
+
+object Day12 extends Solver(12):
+  case class Plots(
+      layout: Grid[Int],
+      edges: Map[Int, Array[(Point, Direction)]],
+      sizes: Map[Int, Int]
+  )
+
+  def mapPlots(grid: Grid[Char]): Plots =
+    val layout = Grid(Array.fill(grid.height, grid.width)(-1))
+    val edges = mutable.Map.empty[Int, Array[(Point, Direction)]]
+    val sizes = mutable.Map.empty[Int, Int]
+
+    def fill(start: Point, label: Int): Unit =
+      layout(start) = label
+      val edge = ArrayBuffer.empty[(Point, Direction)]
+      val plant = grid(start).get
+      var size = 1
+
+      def rec(current: Point): Unit =
+        for
+          dir <- Seq(Up, Down, Left, Right)
+          next = dir(current)
+        do
+          grid(next) match
+            case Some(p) if p == plant =>
+              if layout(next).contains(-1) then {
+                layout(next) = label
+                size += 1
+                rec(next)
+              }
+            case Some(_) => edge += ((current, dir))
+            case None    => edge += ((current, dir))
+
+      rec(start)
+      edges(label) = edge.toArray
+      sizes(label) = size
+
+    for
+      p <- grid.points
+      if layout(p).contains(-1)
+    do fill(p, sizes.size)
+//    grid.points.zipWithIndex.foreach(fill)
+    Plots(layout, edges.toMap, sizes.toMap)
+
+  def part1(plots: Plots): Int =
+    plots.sizes.map((k, v) => v * plots.edges(k).length).sum
+
+  def part2(plots: Plots): Int =
+    def is(pt: Point, id: Int): Boolean = plots.layout(pt).contains(id)
+    def cost(id: Int, size: Int): Int =
+      size * plots
+        .edges(id)
+        .map((pt, dir) =>
+          Seq(dir.turnLeft(pt), dir.turnRight(pt))
+            .count(adj => is(dir(adj), id) || !is(adj, id))
+        )
+        .sum / 2
+    plots.sizes.map(cost).sum
+
+  override def run(input: os.ReadablePath): (Timings, Solution) =
+    val grid = Grid(os.read.lines(input).map(_.toArray).toArray)
+    val (pre_time, plots) = timed { mapPlots(grid) }
+    val (p1_time, p1_solution) = timed { part1(plots) }
+    val (p2_time, p2_solution) = timed { part2(plots) }
+
+    (
+      Timings(pre_time, p1_time, p2_time),
+      Solution(Int.box(p1_solution), Int.box(p2_solution))
+    )

aoc/src/dev/ctsk/aoc/days/Day13.scala

@@ -0,0 +1,32 @@
+package dev.ctsk.aoc.days
+
+import dev.ctsk.aoc.*
+import os.ReadablePath
+
+object Day13 extends Solver(13):
+  def solve(machine: Vector[Long], error: Long = 0): Option[(Long, Long)] =
+    val Vector(ax, ay, bx, by, px_, py_) = machine
+    val (px, py) = (px_ + error, py_ + error)
+    val j = (py * ax - px * ay) / (ax * by - bx * ay)
+    val i = (px * by - py * bx) / (ax * by - bx * ay)
+    Option.when(i * ax + j * bx == px && i * ay + j * by == py)((i, j))
+
+  override def run(input: ReadablePath): (Timings, Solution) =
+    def inRange(i: Long, j: Long) =
+      (0 to 100 contains i) && (0 to 100 contains j)
+
+    val (pre_time, machines) = timed { os.read(input).split("\n\n").map(longs) }
+
+    val (p1_time, p1) = timed {
+      machines
+        .map(solve(_))
+        .collect { case Some(i, j) if inRange(i, j) => i * 3 + j }
+        .sum
+    }
+
+    val ERR = 10000000000000L
+    val (p2_time, p2) = timed {
+      machines.map(solve(_, ERR)).collect { case Some(i, j) => i * 3 + j }.sum
+    }
+
+    (Timings(pre_time, p1_time, p2_time), Solution(Long.box(p1), Long.box(p2)))

aoc/src/dev/ctsk/aoc/days/Day14.scala

@@ -0,0 +1,44 @@
+package dev.ctsk.aoc.days
+
+import dev.ctsk.aoc._
+import os.ReadablePath
+
+def mu(arr: Seq[Int]) = arr.sum * 1.0 / arr.length
+def va(arr: Seq[Int]) = { val m = mu(arr); arr.map(v => (v - m) * (v - m)).sum }
+
+object Day14 extends Solver(14):
+  private val Y = 101
+  private val X = 103
+
+  def go(robot: (Point, Point), time: Int): Point =
+    val dst = robot._1 + robot._2 * time
+    Point((dst.x % X + X) % X, (dst.y % Y + Y) % Y)
+
+  def part1(robots: Array[(Point, Point)]): Int =
+    val end = robots.map(go(_, 100))
+    val ul = end.count(v => v._1 < X / 2 && v._2 < Y / 2)
+    val ur = end.count(v => v._1 < X / 2 && v._2 > Y / 2)
+    val dl = end.count(v => v._1 > X / 2 && v._2 < Y / 2)
+    val dr = end.count(v => v._1 > X / 2 && v._2 > Y / 2)
+    ul * ur * dl * dr
+
+  def part2(robots: Array[(Point, Point)]): Int =
+    val xo = (0 to 103).minBy(t => va(robots.map(go(_, t).x).take(50)))
+    val yo = (0 to 103).minBy(t => va(robots.map(go(_, t).y).take(50)))
+    val (_, iX, iY) = eea(X, Y)
+    (xo * iY * Y + yo * iX * X) % (X * Y)
+
+  override def run(input: ReadablePath): (Timings, Solution) =
+    def parse(line: String): (Point, Point) =
+      longs(line) match {
+        case Vector(y, x, dy, dx) => (Point.of(x, y), Point.of(dx, dy))
+      }
+
+    val (pre_time, robots) = timed { os.read.lines(input).map(parse).toArray }
+    val (p1_time, p1) = timed { part1(robots) }
+    val (p2_time, p2) = timed { part2(robots) }
+
+    (
+      Timings(pre_time, p1_time, p2_time),
+      Solution(Int.box(p1), Int.box(p2))
+    )

aoc/src/dev/ctsk/aoc/days/Day15.scala

@@ -0,0 +1,88 @@
+package dev.ctsk.aoc.days
+
+import dev.ctsk.aoc._
+import dev.ctsk.aoc.Direction._
+
+object Day15 extends Solver(15):
+  case class Input(grid: Grid[Char], moves: Seq[Direction])
+  def pre(input: os.ReadablePath): Input =
+    val Array(map_, moves_) = os.read(input).split("\n\n")
+    Input(
+      Grid(map_.linesIterator.map(_.toArray).toArray),
+      moves_.filter(_ != '\n').map(Direction.from)
+    )
+
+  def part1(input: Input): Int =
+    val grid = Grid(input.grid.data.map(_.clone))
+    var cur = grid.findFirst(_ == '@').get
+    for move <- input.moves do
+      val dst = Iterator
+        .iterate(cur)(move(_))
+        .takeWhile(!grid(_).contains('#'))
+        .find(grid(_).contains('.'))
+
+      dst match
+        case Some(dst) =>
+          grid(dst) = grid(move(cur)).get
+          grid(move(cur)) = grid(cur).get
+          grid(cur) = '.'; cur = move(cur)
+        case None => ()
+
+    grid.find(_ == 'O').map(p => 100 * p.x + p.y).sum
+
+  def part2(input: Input): Int =
+    val Input(grid_, moves) = input
+    val grid = Grid(
+      grid_.data.map(
+        _.flatMap {
+          case 'O' => "[]"
+          case '.' => ".."
+          case '@' => "@."
+          case '#' => "##"
+        }
+      )
+    )
+
+    def blocked(p: Point): Boolean = grid(p).contains('#')
+    def free(p: Point): Boolean = grid(p).contains('.')
+    def clear(p: Point): Unit = { grid(p) = '.' }
+    def shift(d: Direction, p: Point): Unit = { grid(d(p)) = grid(p).get; clear(p) }
+
+    def extend(p: Point): Seq[Point] =
+      grid(p).get match {
+        case '[' => Seq(p, Right(p))
+        case ']' => Seq(Left(p), p)
+        case c   => Seq(p)
+      }
+
+    def push(move: Direction, cur: Point): Boolean =
+      move match
+        case Left | Right =>
+          def step(cur: Point): Boolean =
+            if free(cur) then return true
+            if blocked(cur) then return false
+            if step(move(cur)) then { shift(move, cur); true }
+            else false
+          step(cur)
+        case Up | Down =>
+          def step(cur: Set[Point]): Boolean =
+            if cur.isEmpty then return true
+            if cur.exists(blocked) then return false
+            val next = cur.map(move(_)).filterNot(free).flatMap(extend)
+            if step(next) then { cur.foreach { shift(move, _) }; true }
+            else false
+          step(Set(cur))
+
+    var cur = grid.findFirst(_ == '@').get
+    for (move <- moves) do if push(move, cur) then { cur = move(cur) }
+    grid.find(_ == '[').map(p => 100 * p.x + p.y).sum
+
+  override def run(input_ : os.ReadablePath): (Timings, Solution) =
+    val (pre_time, input) = timed { pre(input_) }
+    val (p1_time, p1_solution) = timed { part1(input) }
+    val (p2_time, p2_solution) = timed { part2(input) }
+
+    (
+      Timings(pre_time, p1_time, p2_time),
+      Solution(Int.box(p1_solution), Int.box(p2_solution))
+    )

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

@@ -0,0 +1,78 @@
+package dev.ctsk.aoc.days
+
+import dev.ctsk.aoc.{Direction, *}
+
+import scala.collection.mutable
+import scala.util.boundary
+import scala.util.boundary.break
+
+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)
+
+    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]]
+      var near = mutable.Stack(State(0, start))
+      var far = mutable.Stack.empty[State]
+
+      inline def relax(u: Pose, v: Pose, vDist: Int, isFar: Boolean): 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
+          if isFar
+          then far.push(State(vDist, v))
+          else near.push(State(vDist, v))
+
+      boundary:
+        while near.nonEmpty do
+          var atEnd = false;
+          while near.nonEmpty do
+            val State(uDist, u) = near.pop()
+            atEnd |= u.pos == end
+            if uDist == distance(u) then
+              if !grid(u.step.pos).contains('#') then
+                relax(u, u.step, uDist + 1, false)
+              for (v <- Seq(u.turnLeft, u.turnRight)) do
+                relax(u, v, uDist + 1000, true)
+
+          if atEnd then break()
+
+          val tmp = near
+          near = far
+          far = tmp
+
+      (distance.toMap, ancestor.toMap)
+
+    val (p1_time, (distance, ancestor)) = timed {
+      search(Pose(start, Direction.Right))
+    }
+
+    val endPose = DIRS.map(Pose(end, _)).minBy(distance.getOrElse(_, 1_000_000))
+
+    val p1 = distance(endPose)
+
+    val (p2_time, p2) = timed {
+      val all = mutable.Set(endPose)
+      var cur = Set(endPose)
+
+      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))
+    )

aoc/src/dev/ctsk/aoc/days/Day17.scala

@@ -0,0 +1,75 @@
+package dev.ctsk.aoc.days
+
+import dev.ctsk.aoc.*
+
+import scala.util.boundary
+import scala.util.boundary.break
+
+object Day17 extends Solver(17):
+  case class Machine(var code: IndexedSeq[Long]):
+    def execute(
+        registers: Map[Char, Long],
+        output: Option[Int] = None
+    ): Vector[Long] =
+      val reg = Array.from(registers).sorted.map(_._2)
+      var pc = 0
+
+      def combo(i: Long): Long =
+        i match
+          case i if i <= 3          => i
+          case i if i > 3 && i <= 6 => reg(i.toInt - 4)
+
+      var out = Vector.empty[Long]
+      boundary:
+        while pc < code.length do
+          code(pc) match
+            case 0 => reg(0) >>= combo(code(pc + 1)); pc += 2
+            case 1 => reg(1) ^= code(pc + 1); pc += 2
+            case 2 => reg(1) = combo(code(pc + 1)) % 8; pc += 2
+            case 3 => if reg(0) != 0 then pc = code(pc + 1).toInt else pc += 2
+            case 4 => reg(1) = reg(1) ^ reg(2); pc += 2
+            case 5 =>
+              out :+= combo(code(pc + 1)) % 8;
+              if output.exists(_ >= out.length) then break()
+              pc += 2
+            case 6 => reg(1) = reg(0) >> combo(code(pc + 1)); pc += 2
+            case 7 => reg(2) = reg(0) >> combo(code(pc + 1)); pc += 2
+
+      out
+
+  def part1(machine: Machine, initialRegs: Map[Char, Long]): String =
+    machine.execute(initialRegs).mkString(",")
+
+  def part2(machine: Machine, initialRegs: Map[Char, Long]): Long =
+    val target = machine.code.reverse
+
+    def rec(pos: Int = 0, acc: Long = 0): Option[Long] =
+      if pos >= target.length then return Some(acc)
+
+      def check(aVal: Long): Boolean =
+        machine.execute(initialRegs.updated('A', aVal), Some(1)).head
+          == target(pos)
+
+      (0 until 8)
+        .map((acc << 3) + _)
+        .filter(check)
+        .flatMap(rec(pos + 1, _))
+        .headOption
+
+    rec().get
+
+  override def run(input: os.ReadablePath): (Timings, Solution) =
+    val Array(initial_, code_) = os.read(input).split("\n\n")
+    val initialRegs = initial_.linesIterator
+      .map(_.split(" "))
+      .map(a => a(1)(0) -> a(2).toLong)
+      .toMap
+    val machine = Machine(longs(code_).toArray)
+
+    val (p1_time, p1_solution) = timed { part1(machine, initialRegs) }
+    val (p2_time, p2_solution) = timed { part2(machine, initialRegs) }
+
+    (
+      Timings(0, p1_time, p2_time),
+      Solution(p1_solution, Long.box(p2_solution))
+    )

aoc/src/dev/ctsk/aoc/days/Day18.scala

@@ -0,0 +1,60 @@
+package dev.ctsk.aoc.days
+
+import dev.ctsk.aoc.*
+
+import scala.collection.mutable
+import scala.util.boundary
+import scala.util.boundary.break
+
+object Day18 extends Solver(18):
+  val SIZE = 70; val P1_COUNT = 1024
+
+  def part1(grid: Grid[Char], coords: Seq[Point]): Int =
+    for coord <- coords.take(P1_COUNT) do grid(coord) = '#'
+    val dist = Grid(Array.fill(SIZE + 1, SIZE + 1)(-1))
+    val dq = mutable.ArrayDeque((0, Point(0, 0)))
+
+    while dq.nonEmpty do
+      val (distance, pt) = dq.removeHead()
+      for
+        adj <- DIRS.map(_(pt))
+        if grid(adj).contains('.')
+        if dist(adj).contains(-1)
+      do
+        dist(adj) = (distance + 1)
+        dq += ((distance + 1, adj))
+
+    dist(Point(SIZE, SIZE)).get
+
+  def part2(grid: Grid[Char], coords: Seq[Point]): Point =
+    for coord <- coords do grid(coord) = '#'
+
+    val sets = DisjointSets(grid.points)
+    for
+      point <- grid.points
+      adj <- DIRS.map(_(point))
+      if grid(point).contains('.')
+      if grid(adj).contains('.')
+    do sets.union(point, adj)
+
+    boundary:
+      for coord <- coords.reverse do
+        grid(coord) = '.'
+        for pt <- DIRS.map(_(coord)) if grid(pt).contains('.') do
+          sets.union(coord, pt)
+        if sets.joint(Point(0, 0), Point(SIZE, SIZE)) then break(coord)
+
+      coords.head
+
+  override def run(input: os.ReadablePath): (Timings, Solution) =
+    val grid = Grid(Array.fill(SIZE + 1, SIZE + 1)('.'))
+    val (pre_time, coords) = timed {
+      os.read.lines(input).map(longs).map(v => Point.of(v(0), v(1)))
+    }
+    val (p1_time, p1) = timed { part1(grid, coords) }
+    val (p2_time, p2) = timed { part2(grid, coords) }
+
+    (
+      Timings(pre_time, p1_time, p2_time),
+      Solution(Int.box(p1), f"${p2.x},${p2.y}")
+    )

aoc/src/dev/ctsk/aoc/days/Day19.scala

@@ -0,0 +1,26 @@
+package dev.ctsk.aoc.days
+
+import dev.ctsk.aoc.*
+
+object Day19 extends Solver(19):
+  def pre(input: os.ReadablePath): (Trie, Seq[String]) =
+    val Array(rules_, words_) = os.read(input).split("\n\n")
+    val trie = Trie()
+    for rule <- rules_.split(", ") do trie.insert(rule)
+    (trie, words_.linesIterator.toSeq)
+
+  private def arrangements(trie: Trie, word: String): Long =
+    def rec(offset: Int, inj: Int => Long): Long =
+      if offset == word.length then return 1L
+      trie.prefixes(word, offset).map(inj).sum
+    Memo.Y(rec)(0)
+
+  override def run(input: os.ReadablePath): (Timings, Solution) =
+    val (pre_time, (trie, words)) = timed { pre(input) }
+    val (p1_time, p1) = timed { words.count(arrangements(trie, _) > 0) }
+    val (p2_time, p2) = timed { words.map(arrangements(trie, _)).sum }
+
+    (
+      Timings(pre_time, p1_time, p2_time),
+      Solution(Int.box(p1), Long.box(p2))
+    )

aoc/src/dev/ctsk/aoc/days/Day20.scala

@@ -0,0 +1,41 @@
+package dev.ctsk.aoc.days
+
+import dev.ctsk.aoc.*
+
+import collection.parallel.CollectionConverters.*
+
+object Day20 extends Solver(20):
+  override def run(input: os.ReadablePath): (Timings, Solution) =
+    val grid = Grid(os.read.lines(input).map(_.toArray).toArray)
+    val start = grid.findFirst(_ == 'S').get
+    val end = grid.findFirst(_ == 'E').get
+
+    val trace = Iterator
+      .unfold((end, end))((cur, prev) =>
+        val n = DIRS.map(_(cur)).filter(_ != prev).find(!grid(_).contains('#'))
+        n.map(nxt => (cur, (nxt, cur)))
+      )
+      .concat(Seq(start))
+      .toArray
+
+    def cheats(radius: Int): Int =
+      trace.indices.par
+        .map(toDist =>
+          (toDist + 100 until trace.length)
+            .count(fromDist =>
+              val from = trace(toDist)
+              val to = trace(fromDist)
+              val dist = (from - to).manhattan
+
+              dist <= radius && (fromDist - toDist >= 100 + dist)
+            )
+        )
+        .sum
+
+    val p1 = timed { cheats(2) }
+    val p2 = timed { cheats(20) }
+
+    (
+      Timings(0, p1._1, p2._1),
+      Solution(Int.box(p1._2), Int.box(p2._2))
+    )

aoc/src/dev/ctsk/aoc/days/Day21.scala

@@ -0,0 +1,48 @@
+package dev.ctsk.aoc.days
+
+import dev.ctsk.aoc.*
+
+object Day21 extends Solver(21):
+  private val keyPad = Grid(Array("789", "456", "123", " 0A").map(_.toArray))
+  private val buttonPad = Grid(Array(" ^A", "<v>").map(_.toArray))
+
+  private val paths = Memo(paths_)
+  private def paths_(args: (Char, Char, Grid[Char])): Array[Array[Char]] =
+    val (from, to, grid) = args
+    val Point(fx, fy) = grid.findFirst(_ == from).get
+    val Point(tx, ty) = grid.findFirst(_ == to).get
+    val ops = Seq((fx, tx, 'v'), (tx, fx, '^'), (fy, ty, '>'), (ty, fy, '<'))
+    val seq = ops.flatMap((a, b, c) => (a until b).map(_ => c))
+
+    def gap(path: Array[Char]): Boolean =
+      path
+        .scanLeft(Point(fx, fy))((acc, c) => Direction.from(c)(acc))
+        .exists(grid(_).contains(' '))
+
+    seq.permutations.map(_.toArray).filterNot(gap).toArray
+
+  private def countPresses(codes: Array[String], numRobots: Int): Long =
+    type State = (Char, Char, Int)
+    def minCost_(state: State, f: State => Long): Long =
+      val (from, to, robots) = state
+      if robots == 0 then return 1
+      paths(from, to, if robots == numRobots then keyPad else buttonPad)
+        .map('A' +: _ :+ 'A')
+        .map(path => path.sliding(2).map(w => f(w(0), w(1), robots - 1)).sum)
+        .min
+    val minCost = Memo.Y(minCost_)
+
+    def evalCode(line: String): Long =
+      ('A' +: line).sliding(2).map(w => minCost(w(0), w(1), numRobots)).sum
+
+    codes.map(code => code.init.toInt * evalCode(code)).sum
+
+  override def run(input: os.ReadablePath): (Timings, Solution) =
+    val codes = os.read.lines(input).toArray
+    val (p1_time, p1_solution) = timed { countPresses(codes, 3) }
+    val (p2_time, p2_solution) = timed { countPresses(codes, 26) }
+
+    (
+      Timings(0, p1_time, p2_time),
+      Solution(Long.box(p1_solution), Long.box(p2_solution))
+    )

aoc/src/dev/ctsk/aoc/days/Day22.scala

@@ -0,0 +1,60 @@
+package dev.ctsk.aoc.days
+
+import dev.ctsk.aoc.*
+import scala.collection.mutable
+
+object Day22 extends Solver(22):
+  inline def hash(n: Long): Long =
+    var secret = n
+    secret ^= (secret << 6)
+    secret &= 0xffffff
+    secret ^= (secret >> 5)
+    secret &= 0xffffff
+    secret ^= (secret << 11)
+    secret &= 0xffffff
+    secret
+
+  def hash(n: Long, count: Int): Long =
+    Iterator.iterate(n)(hash).drop(count).next()
+
+  def part1(initial: Seq[Long]): Long = initial.map(hash(_, 2000)).sum
+
+  def part2(initial: Seq[Long]): Long =
+    inline def update(hash: Int, next: Int): Int =
+      ((hash << 5) & 0xfffff) | (next + 10)
+
+    val maxHash = Seq(9, 9, 9, 9).fold(0)(update)
+    val bananas = Array.fill(maxHash)(0)
+    val seen = mutable.BitSet(maxHash)
+
+    initial.foreach { value =>
+      seen.clear()
+      val it = Iterator.iterate(value)(hash).map(_.toInt % 10)
+      var last = it.next()
+      var window = 0
+
+      for v <- it.take(3) do
+        val diff = v - last
+        last = v
+        window = update(window, diff)
+
+      for v <- it.take(2000 - 3) do
+        val diff = v - last
+        last = v
+        window = update(window, diff)
+        if !seen(window) then
+          seen += window
+          bananas(window) += v
+    }
+
+    bananas.max
+
+  override def run(input: os.ReadablePath): (Timings, Solution) =
+    val initial = os.read.lines(input).map(_.toLong)
+    val (p1_time, p1_solution) = timed { part1(initial) }
+    val (p2_time, p2_solution) = timed { part2(initial) }
+
+    (
+      Timings(0, p1_time, p2_time),
+      Solution(Long.box(p1_solution), Long.box(p2_solution))
+    )

aoc/src/dev/ctsk/aoc/days/Day23.scala

@@ -0,0 +1,59 @@
+package dev.ctsk.aoc.days
+
+import dev.ctsk.aoc.*
+
+object Day23 extends Solver(23):
+  override def run(input: os.ReadablePath): (Timings, Solution) =
+    val edge = "([^-]*)-([^-]*)".r
+
+    def id(s: String): Int = (s(0) - 'a') * 26 + (s(1) - 'a')
+
+    val (pre_time, graph) = timed {
+      os.read
+        .lines(input)
+        .flatMap { case edge(from, to) => Seq((from, to), (to, from)) }
+        .groupMap(_._1)(_._2)
+        .view
+        .mapValues(_.toSet)
+        .toMap
+    }
+
+    val (p1_time, triangles) = timed {
+      (for
+        (u, uOut) <- graph
+        v <- uOut
+        w <- graph(v).intersect(uOut)
+        if Seq(u(0), v(0), w(0)).contains('t')
+      yield Set(u, v, w)).toSet.size
+    }
+
+    type Nodes = Set[String]
+    def cliques(clique: Nodes, cand_ : Nodes, excl_ : Nodes): Set[Nodes] =
+      if cand_.isEmpty && excl_.isEmpty then return Set(clique)
+      if cand_.isEmpty then return Set.empty
+      val pivot = cand_.maxBy(graph(_).size)
+
+      var candidates = cand_
+      var excluded = excl_
+      var acc = Set.empty[Set[String]]
+
+      for v <- cand_ -- graph(pivot)
+      do
+        acc ++= cliques(clique + v, candidates & graph(v), excluded & graph(v))
+        candidates = candidates - v
+        excluded = excluded + v
+
+      acc
+
+    val (p2_time, password) = timed {
+      cliques(Set.empty, graph.keySet, Set.empty)
+        .maxBy(_.size)
+        .toArray
+        .sorted
+        .mkString(",")
+    }
+
+    (
+      Timings(pre_time, p1_time, p2_time),
+      Solution(Int.box(triangles), password)
+    )

aoc/src/dev/ctsk/aoc/days/Day24.scala

@@ -0,0 +1,81 @@
+package dev.ctsk.aoc.days
+
+import dev.ctsk.aoc.*
+
+import scala.collection.mutable
+
+object Day24 extends Solver(24):
+  extension (s: String)
+    def binLong: Long = s.foldLeft(0L)((acc, c) => (acc << 1) + c.asDigit)
+
+  enum Op(val f: Int => Int => Int):
+    case AND extends Op(x => y => x & y)
+    case OR extends Op(x => y => x | y)
+    case XOR extends Op(x => y => x ^ y)
+
+  case class Gate(op: Op, lhs: String, rhs: String)
+  object Gate:
+    def of(op: Op, lhs: String, rhs: String): Gate =
+      Gate(op, Seq(lhs, rhs).min, Seq(lhs, rhs).max)
+
+  override def run(input: os.ReadablePath): (Timings, Solution) =
+    val Array(inits_, wires_) = os.read(input).split("\n\n")
+
+    val inits = inits_.linesIterator
+      .map(_.split(": "))
+      .map { case Array(id, value) => (id, value.toInt) }
+      .toMap
+
+    val wires = wires_.linesIterator
+      .map(_.split(" "))
+      .map { case Array(in1, op, in2, _, out) =>
+        (out, Gate.of(Op.valueOf(op), in1, in2))
+      }
+      .toArray
+
+    val outs = wires.toMap
+    val ins = mutable.Map.from(wires.map(_.swap))
+
+    def tag(t: Char)(i: Int): String = f"$t$i%02d"
+    val x = tag('x'); val y = tag('y'); val z = tag('z')
+
+    def resolve_(id: String, f: String => Int): Int =
+      outs.get(id) match
+        case Some(gate) => gate.op.f(f(gate.lhs))(f(gate.rhs))
+        case _          => inits(id)
+    val resolve = Memo.Y(resolve_)
+
+    val p1 = timed { (0 to 45).reverse.map(z).map(resolve).mkString.binLong }
+
+    val p2 = timed {
+      val renames = mutable.Map.empty[String, String]
+      def rename(a: String, b: String): Unit =
+        renames(a) = b
+        renames(b) = a
+      def re(a: String): String = renames.getOrElse(a, a)
+      def lookup(gate: Gate): Option[String] =
+        ins.get(Gate.of(gate.op, re(gate.lhs), re(gate.rhs)))
+
+      var carry = ins(Gate.of(Op.AND, x(0), y(0)))
+      for i <- 1 to 44
+      do
+        val x_ = x(i)
+        val y_ = y(i)
+        val x_y_xor = lookup(Gate.of(Op.XOR, x_, y_)).get
+        val x_y_and = lookup(Gate.of(Op.AND, x_, y_)).get
+        val out = lookup(Gate.of(Op.XOR, x_y_xor, carry)) match
+          case Some(out) => out
+          case None =>
+            rename(x_y_xor, x_y_and)
+            lookup(Gate.of(Op.XOR, x_y_xor, carry)).get
+        if out != z(i) then rename(out, z(i))
+        val pre_carry = lookup(Gate.of(Op.AND, carry, x_y_xor)).get
+        carry = lookup(Gate.of(Op.OR, pre_carry, x_y_and)).get
+
+      renames.keys.toArray.sorted.mkString(",")
+    }
+
+    (
+      Timings(0, p1._1, p2._1),
+      Solution(Long.box(p1._2), p2._2)
+    )

aoc/src/dev/ctsk/aoc/days/Day25.scala

@@ -0,0 +1,35 @@
+package dev.ctsk.aoc.days
+
+import dev.ctsk.aoc.*
+import collection.parallel.CollectionConverters.*
+
+object Day25 extends Solver(25):
+  override def run(input: os.ReadablePath): (Timings, Solution) =
+    val (pre_time, (locks, keys)) = timed {
+      os
+        .read(input)
+        .split("\n\n")
+        .map(_.linesIterator.map(_.toArray).toArray.transpose)
+        .partition(_(0)(0) == '#')
+    }
+
+    def profile(lock: Array[Array[Char]]): (Array[Int], Int) =
+      (lock.map(_.count(_ == '#')), lock.head.length)
+
+    def fits(size: Int, lock: Array[Int], key: Array[Int]): Boolean =
+      lock.zip(key).forall((l, k) => l + k <= size)
+
+    def p1 = timed {
+      val keyProfiles = keys.map(profile)
+      locks
+        .map(profile)
+        .map((lock, size) =>
+          keyProfiles.count((key, _) => fits(size, lock, key))
+        )
+        .sum
+    }
+
+    (
+      Timings(pre_time, p1._1, 0),
+      Solution(Int.box(p1._2), "MERRY CHRISTMAS")
+    )

data/11.ans

@@ -0,0 +1,2 @@
+189167
+225253278506288

data/11.in

@@ -0,0 +1 @@
+28 4 3179 96938 0 6617406 490 816207

data/12.ans

@@ -0,0 +1,2 @@
+1374934
+841078

data/12.in

@@ -0,0 +1,140 @@
+YYYYYYYYRZIZYYYYYPGPPPPPGGGGGGGGGGGGGKKKKYYYYYYYYYYYFFFFFFFFFFFFFFSSSJOOOJJJJJJJYJJJJJCCCCCCCCCCCCCCFFFFKKKKKKKKKKKRRNNNNNDNNNNNNNNUUUSSSEEE
+YYYYYYYYYZZZYYYYYYGGGPPPGGPGGGGGGGGGKKKKKYYYYYYYYYYFFFFFFFFFFFFFFSSSPOOOOJJJJJJYYJJJJJJJJIICCCCCCCCCCKKKKKKKKKKKKKKKKNNNNNNNNNNNNNNUUUSSSSSE
+YYYYYYYYYYZZYYYYYYYGGPPPPPPPPPPVGGGKKKKKKYYYYYYYYYYYFFFFFFFFFFFSSSSSSOOOJJNJJJYYYJJJJJJJJIICCCCCCCCCCPKKKKKKKKKKKKKKKKNNNNNWNNNNNNNUUSSSSSSS
+YYYYYYYYYYZZYYFYYGGGGGGGPEEPEVVVVVVXKKKKKKYYYYYYYYYYFFFFFFFFFFFSSSSSSOOOONNJJJJYYJJJJJJJIIICCCCCCCCKKKKKKKKKKKKKKKKKKKKNNNWWNNNNNWNUUSSSSSSS
+YYYYYYYYYYYYYYYYGGGGGGGGPGEEEVVVVVVKKKKKKVYYYYYYWYFFFFFFSSSSSSSSSSSSSOOOUNNNNNJJJJJJJJJJIIIMMMCCCKKKKKKKKKKKKKKKKKKKKNNNWWWWWNNNNWNUUUSSSSSS
+YYYYYYYYYYYYYYYYGGGGGGGGGGVVVVVVVVVVKKKKKVYYYYYYYYYFFFFFSSSSSSSZSSSSSSOONNNNNNJNNJNNJJJQQIIMMMMCCCKKKKKKKKKKKKKKKKKKKYYNWWWWWWWWWWUUUUSSSSSS
+YYYYYYYYYYYYYYYGGGGGGGGVGGVVVVVVVVVVVVVKKBYYYYYFFFFFFFFSSSSSSSSSSSSSSSOOGNNNNNJNNNNNJJQQQQQMMMMCCCCCJKKKKKKKKKKKKKKKKYYYYWWWWWWWWWUUUUUSSSSS
+YXXXXXXYYYYYYYYGGGGGGGGVVVVVVVVEVVVVVVVKBBYYYYYFFFFFFFFFSSSSSSSSSSSSSSOOGNNNNNNNNNNNJBBQQQQMMMMMCCCJJJJKKKKKKKKKKKKKYYYYYYWWWWWWWUUUUUSSSSSS
+XXXXXXXXXYIIYYYGGGGGGGGVGVVUVVVEVVVVVVVBBBBBYYFFFFFFFFFFSSSSSSSSSSSYSSSOONNNNNNNNNNNJBBBQQQMMMMMCCCJJJJJKIKKKKKIIIIIIYYYYYWWWWWPPUUUUSSSISSS
+FXXXXXXIIIIIIYYGGGGGGGGGGGEUUUUEEVVVVVBBBBBBYFFFFFRRRFFSSTSSSSSSSSSYYYYOCNNNNNNNNNNBBBBBBBQMMMMMCCCJJJJJJIKIKKIIIIIIIIIIYYWWWWWPPPPUUUSIISSS
+FFFXXXIIIIIIGGGGGGGGGGGGGEEEUEEEEVVEERRRBBBBYYFFRFRRRRSSSSSSSSSSSSSSYYYYNNNNNNNNNNNBBBBBBQQQMMMMCCCRJJJJJIKIIKIIIIIIILIIIYWWWWVPPPPPPUUZZSSS
+FFFXXXWWWIIIIWWGGGGGGGGGGGEEEEEEEVEEEEEBBBBBBBFRRFFFRRVVSSYYSSSSSSSSYYYYYNNNNNNNNNNBBBBBBQQQMMMMCSCCSJSJJIIIIIIIIIIIIIIIIIBBWPPPPPPPPUZZZZSS
+FFFFFWWWWWWIWWWGWGGGGGGGGEEEEEEEEEEEEEEEBBBBBBBBRRRFRRRRYSYYSSSSSSYYYYYYTNNNHNNNNNNNBBBBQQQQMMMSSSSSSSSJJIIIIIIIIIIIIIIBBBBBBBBBPPPPPZZZZISS
+FFFFFWWWWWWWWWWWWWGGGGGGGEEEEEEEEEEEBBBBBBBBBBBBRRRFRRRYYYYSSSSYSYYYYYYYTNWNHNNNNNTTBBBQQQQQMMMSSSSSSSSSIIIIIIIIIIIIIIBBBBBBBBBPPPPPPPZZSSSS
+FFFFFWWWWWWWWWWWWWWGGGGGEEEEEEEEEEEEVVVBBVBBBBBBRRRRRRRYYYYYYYYYYYYYTTTTTTNNNNTTTTTTTBBBQQQQQMMSSSSSSSSSIIIIIIIIPIIBBBBBBBBBBBBPPPPPPPMZZZZT
+AAFFFFWWWWWWWWWWWJJJGNGGGEEEEEEEEEEEVVVVBVVBBBBBBRRRRRRYYYYYYYYYYYYTRTTTTTTTTTTTTTTTTTTBTQQQQQQQQSSSSSSSIIIIIIIPPNIBBBBBBBBBBBBBPPPBPPZZZZZZ
+AAFFFFAGWWWWWWWWWJJWWWGGGWEEEEEEEEEEVVVVVVMBBBRRRRRRRRYYYYYYYYYYYYYTTTTTTTTTTTTTTTTTTTTTTQQQQQQQSSSSSSSSIIIIIIIPPNBBBBBBBBBBBBBBBBBBBZZZZZZZ
+AAAAAAAGWWWWWWWWJJWFWWGGWWEEEEEEEEEEVVVVBVVBBBRRRRRRRRYYYYYYYYYYYYYTYYTTTTTTTTTTTTTTTTTTTTQQQQQQSSSSSSSSIIIIIIPPPPPBBBPBBBBBBBBBBBBBBZZZZZZZ
+AAAAAAAAAWWWWWWWJWWWWWWWWWWWEEEEEEEEEVVVVVVVBBRRRRRRRRYYYYYYYYYYYYYYYYTTTTTTTTTTTTTTTTTTTTTQQQQSSSSSSSSSIIIIIIPPPPPPPPPBWWBBBBBBBBBBKZZZZZZZ
+AAAAAAAAAAWWWWJJJWWWWWWWWWWWEEEEEEEEEVVVVVVVVVRRRRRRRRYWWYYYYYEYYYAYYYYTTTTTTTTTTTTTTTTTTTTQQQSSSSSSSSIIIIIIIIPPPPPPPPPBBWWWWBBBBBBBBZZZZZZZ
+AAAAAAAAAAWWWGJWWWWWWWWWWWWWEEEEEEEEEEEVVVVVVVRRRRRRRRWWWYYYYEEYAAAAAYTTTTTTTTTTTTTTTTTTTTTQTCCSSSSSSIIIIIISSSPPPPPPPPPBBWWWWBBBBBBBBKZKZZZK
+AAAAAAAARYWWWGJJGGWWWWWWWWWWWERRWWEEEGVVVVVVVVVRRRRRRRRWWWEEEEEEEAAAAAAAATTTTTTTTTTTTTTTTTTTTCCCSSSSSSIISSSSSSSPPPPPPPPBBWWWWBFWBBBBBKKKZZZK
+AAAAAAAAAYYYWGGGGGWWWWWWWWWWWWWWWWWYWVVVVFLKKVRRRRRRRRRWWFEEEEEEEAAAAAAATTRRRRRRRRTTTTTTTTTTTCCCSSSSSSSSSSSSSSSSPPPPPPPWWWWWWWWWWWBBBBKKKKKK
+AAAAAAAAYYYTGGGGGGGGWWWWWWWWWWWWWWWWWWJJLLLKKRRRRRRRRRWWWWWEEEEEEEEEEAAATTRRRRRRRRTTTTTTTTTTTTCCXSSSSSSSSSSSSSFFFPFFPSSSSSWWWWWWWBBBBBKKKKKK
+AAAAAAAYYTTTTTGGGGGGGWWJJWWWWWWWWWWWWJJJLLLLLLLLRRRRRWWWDWWWWEEEEAAAAAATTTRRRRRRRRTTTTTTTTQQQQXXXXRRSSSESSSSSSFFFFFFHFSWWWWWWWWBBBBBMMMKKKKK
+AAAAAASYYYYTTVGGGGGGWWWWJJJJYYWWWWWWWJJJLLLLLLLLLRRRRRDDDWWWWWWWWAAAAAAATTRRRRRRRRTTSTTTTTTQQQXXXXRRSSSEEESESSEEFFFFFFFWWWWWWWWBBBBBMKKKKJJJ
+JAAAASSYYYYYTVGGGGGGGWWWWJJYYYWWWJJJJJJLLLLLLLLLLLLLLDDDDWWWWWWAAAAAAAAAAARRRRRRRRFFSTTTTTTQXXXXXXXREEEEEEEEEEEEFFFFFFFFWWWWWWWWWHBKMKKKJJJJ
+JASSSSVVVVVVVVGGGGGWWWWWWJJGYGWWWNNUJJJLLLLLLLLLLLLLLLDDDDDWWWAAAAAAAAAAAARRRRRRRRFFFFPTTTTXXXXXXXXEEEEEEEEEEEEEJFFFFFFWWWWWWWWWZZBZZKKKJJJJ
+JJVVSSVVVVVVVGGGGGGWWWWYDJGGGGWWLNNUJJJLLLLLLLLLLLLDDDDDDDDDDWAAARRRRRRRAFRRRRRRRRFFFFPTTPPXXXXXXXXEEEEEEEEEEEEEFFFFFFFFFWWWWWWWWZZZZKZZJJJJ
+JJVVVVVVVVVVVVVVVVGWWYYYDDDGGGDLLNUUJJJLLLLLLLLLLLLDDDDDDDDDDWAAARRRRRRRRRRRRRRRRRFFFPPPPPPXXXXXXXEEEEEEEEEEEEEEFFFFFFFFFFFWWWWWZZZZZZZZJJJJ
+JJJVVVVVVIIIVVVVVVWWYYYDDDGGDDDDUUUUUUUUILLLLLLLLDDDDDDDDDDDDWWAARRRRRRRRRRRRRRRRRFPFPPPPXXXXXXXXXEEEEEEEEEEEEEEFFFFFFFFFFFWWWWWZZZZZZZLJJJJ
+JJJVVVVVIIIIVVVVVVVWYYYDDDDDEDDDDUUUUUULLLLLLLLLLDDDDDDDDDDWWWWWARRRRRRRRRRRRRRRRRFPPPPPPXXXXXXXXXXEEEEEEEEEEEEEFFFFFFFFFOFWWWZZZZZZZZZZZZJJ
+JJJVVVDDDIIVVVVVVVVDHDDDDDDDDDDFUIUUUUUULLLLLLLLLLDDDDDAIIDAWWWWARRRRRRRRRRRRRRRRRNNNNPPXXXXXXXXXXEEEEEEEEEEEEEEEEFFFFFFFFFFWWZZZZZZZZZZZVJJ
+JJJKKKDDDIIVVVVVVVDDDDDDDDDDFFFFUUUUUUUULLLLLLLLLLDDDDDAAIDAAAAKARRRRRRRRRRRRRRRRRNNPPPPXWXXXXXXXXXEEEEEEEEEEEGGGGFFFFFFFFFFWZZZZZZZZZZZZVZZ
+JJKKKDDDDDIVVVVVVVDDDDDDDDDDFFFUUUUEUUUUULLLLLLPLLDDDAAAAAIAAAAKMRRRRRRRRRAAAAANNNNNNNNXXXXXXXXXXXXXEEEEEEEEEFGGGGFFFFFFFFFFWZZZZZZZZZZZVVZZ
+KJKKKKKKDDDVVVVVVVDDDDDDDDDDFFFFFUUEEUUUUULLLPPPLQDDDAAAAAIAAAAKMRRRRRRRRRAAAAAANNNNNXXXXXXXXXXXXXXXXEEEEEESFFGGGGFFNNNNFRRRWZZZZZZZZZZZZVZZ
+KKKKKKKKDDDVRUSVVVDDDDDDDDDDFFFFFEEEEUUUUULLNNNNQQDDDPAAAAAAAAXMMRRRRRRRRRAAAAANNNNNNNXXXXXXXXXXXXXXNEEEEEEFFFGGGGNNNNNNNRRRRRZZZZZZZZZZZZZZ
+KKKKKKDDDDDDUUUVVVDDDDDDDDDDDFFFFEEEEUUNLLLLNNNNNQDDPPAAAAAAAAMMMRRRRRRRRRMMAAAANANNNNNXXXXXXXXXXNNNNNEEEEEFFFGGGGNNNNNNNNNNNNZZZZZZZZZZZZZZ
+YKKKKKKKDDDDUUUVVDDDDDDDDDDDDAFFFEEEEUNNNNNNNNNNNNRDPPAAAAAAAAHHMMMMMMMMMMMMAAAAAAMNNNNNXXXXXXNXNNJJJEEEEEEFFFGGGGNNNNNNNNNNNZZZZZZZZZZZZZZZ
+KKKKKKKDDDUUUUUUUUUDDQDDDMDDDAAAEEEEEUNFFNFFNNNNRRRRFPPAAAAAAHHHHHMMMMMMMMMMMMAAAAMNNNNXXXNNNNNXNNNJJJJPPJUJFFGGGGGGNNNNNNNNNZZZZZZZZZZZZZZZ
+KKKKKKKKKDDDDUUUUUUUQQDDDDDDDAAAAEEEEUFFFFFFNNNNFFFRFAAAAAAAAAHHHMMMMMMMMMMMMMMMMAMMNNNNNNNNNNNNNNNNJJJJJJUGGGGGGGGGNNNNNNNNNZZZZZZZZZEZZZZZ
+KKKKKKKKKDDDDUUUUUUUUUUDADDAAAAAEEEEENBFFFFFFFFFFFFFFAAAAAAAAHHHHHHMMMMMMZZMMMMMMMMNNNNNNNHHHHNNNNJNNJJJJUUGGGGNNGGGNNNNNNNSNNVVZZZZZEEEZZZZ
+KKKKKKKKKDUUUUUUUUUUUUUUAAAAAAAAEEEEEEBFFFFFFFFFFFFFFFAAAAAAAAHHHHHMMMMMMMZZZMMMMMMJHHHHHHHHHHNNNNJJNJJJJJUGGGGLLLLLLNNNNNNNNVVZZZZZEEEEEZZZ
+KKKKKKKKKKKUUUUUUUUUUUUUAAAAAAABBEEEEBBBFFFFFFFFFFFFFFAAAAAAAAHHHHHHHHMMMMMMMMMMMMJJHHHHHHHHHHNNNJJJUJJJJJJGGGGLLLLLLNNNNNNNNVVVVZZZEEEEEEZZ
+KKKKKKKKKKKUUUUUUUUUUUUUAAAAAAABBBBBBBBBBFFFFFFFFFFEFAALAAAAAAHHHHHHHHMMMMMMMMMMMMMJHHHHHHHHHBBNNJJJJJJJJJJGGGGLLLLLLNNNNNNNVVVVVVZZZEEEEEEE
+KKKEEEKKKKKUUEUUUUUUUUUHHHAAAAABBBBKBBBBBBBFFFFFFFFFFVALAKAAAHHHHHHHHHHHCCCMMMMMMMMJHHHHHHHHHBBNNJVJJJJJJJJGGGGLLLLLLVNVVVVVVVVVVZZZEEEEEEEE
+KEEEEEKEEEEUUEEUUUUUUUUHHHHAAAABBBBBBBBBBBBFFFFFFFFFFVVXXKXHHHHHCHCCHHHHHHCMMMMMMMMJHHHHHHHHHBBNNFVJJJJJJJJGGGGLLLLLLVVVVVVVVVVVZZEEEEEEEEEE
+KEEEEEEEEEEEEEEEUUUUUUHHHHHHAABBBBBBBBBBBBBFFFFFFFFFFFFXXXXXHHHHCCCCCHHHHCCCMMMMMMMMHHHHHHHHHBBNFFFFJJJJJJJLLLLLLLLLLVVVVVVVVVVVVZEEEEEEEEEE
+KEKKEEEEEEEEEEEBUBBBBUJJHHHAAABBOBBBBBBBBBBBFFFFFFFFFFSXXXXXHHHCCCCCICCHHHCCMCCMMMMMMMQJBBBBBBFFFFFFFJJJJJJLLLLLLLLLLVVVVVVVVVVVVVEEEEEEEEEE
+KKKKEEEEEEEEEEBBBBBBNIIIHHAAAABBBBBBBBBBBBBFFFFFFFFFFFFXXXXCCCCCCCCCCCCCHCCCCCMMMMMMMMCCCCBBBBBBFFFFFJJJJJJLLLLLLLLLLLLLVVVVVVVVEEEEEEEEEEEE
+KKKEEEEEEEEEEEBBBBZZIIIIIIIAAABBBBBBBBBBBBHHHWFOOFFFFXXXXXCCCCCCCCCCCCCCCCCCCCCCCMMMMMCCCCBCBBBFFFFFFJJJUJJLLLLLLLLLLLLLLLLLLVEEEEEEEEEEEEEK
+KKKEEEEEEEEEEEBFBBIIIIIIIIAAIAABBBBBBBBBBBHHHHHHOOOOFXXXXXXXYYCCCCCCCCCCCCCCCCCCCMMMMCCCCCCCCBCUFFFUUUUJUUJLLLLLLLLLLLLLLLLLLNEENNEEEEEEEEEI
+KKEEEEEEEEEEEBBBBBIZIIIIIIIIIAAABBBBBBQBBBBHHHHHHHOOFXXXXXXXXXCCCCCCCCCCCCQQQQQCCCMMCCCCCCCCCCCUUUUUUUUUUUJLLLLLPLLLLLLLLLLLLNNNNNEEEEEEIIEI
+EEEEEEEEEEOEEEBBBBBIIIIIIIIIAAAABBBBBQQQMMMHHHHHHHHHHXXXXXXXXCCCCCCCCCCCCCCQQQQQCMMCCCCCCCCCCCCCCUUUUUUUUUULLLLLPLLLLLLLLLLLLNNNNNNENEIIIIII
+HEEEEEEEEEOBEBBBBIIIIIIIIIIAAAAAAABBQQQQMMYHHHHHHHHHHHHXXXXXXCCCCCCCCCCCCUQQQQQQCCCCCCCCCCCCCCCCCUUUUUUUUUULLLLLPLLLLLLLLLLLLNNNNNNNNNIIIIII
+EEEEEEEEEEEBBBBBIIXIIIIIIIIIXXXAAAABQQQQMMMHHHHHHHHHUUHXXXXXXXCCCCCCCCCCIIIIIQQQCCCCCCCCCCCCCCCUUUUUUUUUUUULLLLLUUPLLLLLLLLLLNNNNNNNNIIIIIII
+VEEEEEEVBBBBBBBBIBIIIIIIIIINXXXXXAAAMMMMMJMHHHHHHHHHUUXXXXXXXXXCCCCCCCCCIIIIIQQQCCCCCCCCCCCCCMMMMMUUUUUUUUULLLLLUUTLLLLLLLLLLNNNNNNNNIIIIIII
+EEEEVEEVBBBBBBBBIBBIIIIIIIIXXXAXAAAAMMMMMMMTTHHHHHHHHXXXXXXXXCXCCCCCCWZZIIIIIIIIIIICCCCCCCCCCCMMMMMUUUUUUUULLLLLFUPPUUUVVNNNNNNNNNNNNIIIIIII
+VVVVVVVVBBBBBBBBBBBBIIIMIIIXXXAAAAAAMMMMMMMMMHHHHXXXHCXXAXXXXCCIIIIIIIIIIIIIIIIIIIICCCCCCCCCCCMMMMMUUUUUUFFFFFFFFUPUUUUUNNNNNNNNNNNNNNNIIIII
+VVLVVVVVBBBBBBBBBBBIIIIMMMXXXXXXAAAMMMMMMMMMHHHHXXXXCCXCCXXXCCCIIIIIIIIIIIIIIIIIIIICCCCCCMCCMMMMMMMMUUUUFFFFFFFFFUUUUUUUNNNNNNNNNNNNNLNIIIII
+VVVVVVBBBBBBBBBBBBBBBIIIXXXXXXXXAAAMMMMMMMDDDHHXXXXXCCCCCCCCCCCIIIIIIIIIIIIIIIIIIIICCCCMMMMMMMMMMMMMUPUUFFFFFFFFFUUUUUUCNNNNNNNNNNNNNLNIIIII
+VVVVVVBBBBBBPPBBBBBBBBIIXXXXXXXXXAMMMMMMMMMDDDXXXXXXCCCCCCCCCCCIIIIIIIIIIIIIIIIIIIICCCSMAMMMMMMMMMMMUPPUFFFFFFFFFUUUUUUNNNJJNJNNUNNLLLNIINNI
+VVVVIIRBBBPPPPPBBBBBBBIAXXXXXXXIAAAMMMMMMMDDDDXXXXXXXXCCCCCCCCFIIIIIIIIIIIIIIIIKCCCPCMMMMMMMMMMMMMMMPPPPPFFFFFFFFFFFUUUUAJJJYJNNUNLLLLLLLNNI
+VVVVIRRBBPPPPPPPPBPPPPPAXXXXXXXIIIINMXDDDDDDDDXXXXXXXXXXCCCFFFFIIIIIIIIIIFZZZKKCCKKCCKMMMMMMMMMMMMMMPPIPPFFFFFFFFAFAAAUAAJJJJJJJJLLLLLLLLNNN
+VIIIIIIFFPPPPPPPPPPPPPPPXXXXXXXXXIIIIXXDDDDDDDXXXXXXXXXXXCFFFFFIIIIIIIIIIFZZZKKKKKKKOOOMMJMMMMMMMEEMPPIPPPPFFFFFFAAAAAAAAJJJJJJJJLLLLLLLLNNN
+IIIIIIIFFPPPPPPPPPPPPPHHMMMMXXXXIIIXXXDDDDDDXXXXXXXXXXXXXFFFFFFIIIIIIIIIIFYYZZKKKKOOOOOOOJMMMMMMMMMMIIIIPFFFFFFFFFAAAAJJJJJJJJJJJLLLLLLNNNNN
+IIIIIIIIFPPPPPPPPPPPPPPHMMMXXXXXIXXXXXDDDDDDXXXXXXXXXXXXFFFFFFFIIIIIIIIIIYYYYKKKKOOOOOOOOOQMMMMMMMMMMIIIIIIFFFFFFFAAAJJVVVVVVVVVJLLLLLLNNNNN
+IIIIIIIIFPPPPPPPPPPPPMHHMMMMMXXXXXXXXXXCCDDDDXXXXXXXXXXXXFFFEFFIIIIIIIIIIFYYYYYYYOOYOOOOOOOMMMMMMMMMIIIIIIIFFFFFFFAAJDJVVVVVVVVVJJJLLLYLLNNN
+IIIIIIFIFPPPPPPPPPPPPMMMMMMMMXXXXXXXQQCCCCDDDDDXXXXXXXXXXXEEEEFFFFFFFFUFFFYYYYYZZOOOOOOOOOOMCMMMMMMMMIIIIFFFFFFFFAAAJDJVVVVVVVVVJLLLLLLLLNNN
+IIIVVVFFFPPPPPPPPPPPMMMMMMMMMMXAAXXXXXXJCCDDDDDXXXXXXDXXXXEEEFFFWWWWFFYYYYYYYYYZZZOOOOOOOOOZCMMMMEEEZZIIIIFFFFSSFBBJJJJVVVVVVVVVJLLLLLLLNNNN
+VVVVVVVVVTTTPPPPPPMMMMMMMMMMMAAAAXXXXXXJCCCCDDDDXXXXXDXXXEEEEKWWWKKWWWYYYYYYYYZZZZOOOOOOOOZZZZMZMEZZZZIIIIFSSSSSPPBBLJJVVVVVVVVVJJLLLLLNNNNN
+VVVVVVVVVTYTPPYPPMMMMMMMMMMMMMMAAXXXXACCCCCCCDDDDDDDDDEEEEEKKKWWKKKKWWYYYYYYYYYYYZZZOOZOOOZZZZMZZZZZZZVVISSSSSCCPPBPJJJVVVVVVVVVJJLLNNNNFNNN
+VVVVVVVVVYYTYYYYPPMMMMMMMMMMMMAAAAXXCCCCCCCCCDDDDDDDDDEEEEEKKKWWWKKKWWWWWYYOOYYYZZZZZZZZOOZZZZZZZZZZZJVVIIVSSCCCCPPPPPJVVVVVVVVVVVVLNNNNFNNN
+VVVVVVVVVYYYYYYPPMMMMMMMMMMMMMMMAAAAACCCCCCCDDDDDDDDDDDEEEEEEKKKKKKKKKWWOOEOOYYZZZZZQQQZZZZZZZZZZZZZZZGVVVVVSCCCCPPPPPJVVVVVVVVVVVVFNFFFFNFF
+VVVVVVVVVEYYYYYMMMMMEMMMMMVAVAAAAAAAAACUCCCCCDDDDDDDDDEEEEEEKKIKKKKKKWWOROOOOOZZZZZZZQQQZQQZZZZZZZZZFFVVVVVVVVCCCCPPPPPJJVVVVVVVVVVFFFFFFFFF
+VVVVVVVVVVYYYAYYMMMEEMMMMMVAVVVVVAAAAACUCCCCCDDDDDDDDDEEEEEEPZPPKKKKKKOOROYOZZZZZQQQQQQQQQQQQZZZZZZZZVVVVVVVVCCCCCCPPRVVVVVVVVVVVVVFFFFFFFFF
+VVVVVVVVVVVYYAAAMMMEEEMVVVVVVVVVVVVAAOUUCCCCCCDDDDDDDREEEEPPPZZPPKKKKKOOOOOZZZZZZZQQQQQQQQQQQZZZZZYZMMMVVVVVVVCCCCCCCRVVVVVVVVVVVVVFFFFFFFFF
+VVVVVVVIIIIPPPPAMAAEEEMEVVVVVVVVVVAAOOOOCCCCODDDDDDDDREEEEPPPPPPPPPKKZZOOOOOOOOOZZQQQQQQQQNQQZZZZZZMMMMMMVVVVVCCCCCRRRVVVVVVVVVVVVVFFFFFFFFF
+VVVVVVVIPPIPPPAAAAAEEEEEOEVVVVVVVVVAAOOLCOCCOODDDDDDDRRREEPPPPPPPPPZZZOOOOOOOOOOZZZQQQQQQQQQQQGGZGMMMMMMVVVLVCCCRRRRRRVVVVVVVVVVVVVFFFFFFFFF
+VVVVVVVPPPPPPPAAAAEEEEEEEEEVVVVVVVAAAOOOOOOOOOODDDDRRRRRPPPPPPPPPPPZZZZOOOOOOOOOZZZZQQQQQQQQIIGGGGGGMMMVVVVVULPCRRRRCCVVVVVCVVVVVVVFFFFFFFFH
+VVVVVVKPPPPPPAAAAAEAEEEEEEEVVVVVVVAAAAOOOOOOOOODDDRRRRRPPPPPPPPPPPPPPOOOOOOOOOOOOZZZQQQQQQQGGGGGGGGGGMMMMCZCCLLRRRLLXCVVVVVCVVVVVVVFFFFFFFHH
+VVVVYYPPPPPPPPPAAAAAEEEEEEEEVVVVVVAAAAOOOOOOOODDDRRRRRRRRPPPPPPPPPPZZZZOOOOOOOOAOZZQQQQQQQGGGGGGGGGGGMMMMCCCHLLLLLLLCCTCCCCFVVVVVVVFFFFFFFKK
+UUUVYYPYYPPPPPAAAAAAAEEEEEEEVVVVVVVAAOOOOOOOOOODDORRRRRRRPPPPPPPPPZZZZZOOOOOOOOOOQQQQQQQQQQGGGGGGGGGGGMCCCLHHLLLLLLLVCCCCXXFFFFFFFFFFFFFFKKK
+UUUYYYYYYPPPPPPAAAAEEEEEEEAAVVVVVVVAAOAOOOOOOOOOOORRRRRRRRPPPFFPPZZZZZZZZOOOOOOOOQQQQQQQQQQQGGGGGGGGGGHAACLLLLLLLLLLLLCICXXFFFSFFFFFKKKKKKKK
+UUUUYYYYPPPPPPAAAAAAEEECEAAAAAAVVVVVAAAOOOOOOOOOORRRRRRRURVPPFFFPFFZZZZZZZOOOOOCCQQQQQQQQQQGGGGGGGGGGGHALLLLLLLLLLLLIIIICXXXXFSSFKKKKKKKKKKK
+UUUUUYYYDPAPPAAAAAAAAEEEAAAAAAAVVVVVAAAOOOOOOORROORRRRRAOPVVVFFFFFFZZZZZZOOOOOQQQQQQQQQQQQQQQGGGGGGGAAHALLLLLLLLLLLLIXXXXXXXFFSSFKKKKKKKKKKK
+UUUUUUUUDDDAAAAAUAAAAEEAAAAAAAAVVVVAAAAPOOOORORROOOORRROOOVVFFFFNNFZZZZZZZOOOOOQQQQQQQQQQQQQQQAGGYAAAHHAALLLLLLLLLLLILIXXXXXFFFSFFKKKKKKKKKK
+UUDUUDUDDEAAAAAAUUAAAAAAAAAAAAAVVVAAAAPPPPORRRRRROOORRROJOVOFFFFFFFFZZZZZZOOOZQQQQQQQQQQQQQQQQQGGYAAAAHAALLLLLLLLLLLLLXXXXXXXXFFFFFKKKKKKKKK
+DDDDDDDDDEEAAAAUUUUUUUAAAAAAAAAAAVAAAAPWWPRRRRRRROOOOOOOOMMFFFFFFFFFFFFZZZZZZZZQQQQQQQQQQQQQQQUUUYAAAAAAAGGLLLLLLLLLLAAXXXXXXXXXLFFFKKMKKKKK
+DDDDDDDDDEEAEAAAUUUUUUUUUAAAAUAAAAAAAAARRRRRRRRRZOOOOOOOOMMMFFFFFFFFFFFZZZZZZZZQQQQQQQQQQQQQUUUYYYAYYAAAGGWGLLLLLLLLAAXXXXXXXXXXLLLFKKKKKKKK
+DDDDDDKKKKEEEAAAUUUUUYUUUUUAUUUUAAAAAAAARRRRRRZZZOOOOOOOOFFMFFFFFFFFFFFZZZZZZZQQQQQQQQQQQQQQQYYYYYYYYYAGGGGGGLLLLLLLAAXLXXXXXLLLLLEEEVVVVKKK
+DDDDDDDKKEEEEAAAUBUUUUUUUUUUUUUUUAAAOOORRRRRRRRZZKOOOOZZZFFFFFFFFFFFFFFZZZZZZZZZQQQQQHQFQQFQQYYYYYYYYYYGGGGGGGLLLLLLLAXLLXLXLLLLLLEEEEVVVKVK
+DDDDDDDDDEEEEEAAAUUUUUUUUUUUUUUUFAAAOORKRRRRRRRZKKKOOOZWWFFFFSFFFFFFFFFZZZZZZZVVVVZQFFQFFFFQFYYYYYYYYYYYYGGGGGGLGLAGMLLLLLLXLLLLLLEEEVVVKKKV
+DDDDDDDDDEEEEWAAAUUUUUUUUUUUUKUUOOOOOORRRRRRRRRZZKKOOOZWWWWWFSFFFFXFFFFZZZZZZZZVVVFFFFFFFXFFFFYYYYYYYYYGGGGGGGGLGIGGLLLLLLLLLLLLEEEEEEVVVVVV
+DDDDDDEEEEEEUWWUUUUUUUUUUUUUUKKKKOOOOORRRRRRRRRRKKKKKWWWWWWWWWEFFFBFBBFZZZZZZZZVVVSFFFFFFXFFFFYYYYYYYYYYYGGGGGGGGGGGGLLLLLLLLLLEEEEEEEEVVVVV
+DDEEEDDDEKEEWWWWFUUUUUUUUUUUUUKKOOOOOOPRRZZZZZZZKKKKKZZZZWWWWWEEFFBBBBZZZZZZZZCSSSSFFFFFFXXXFFFFYYYYYYYYYYGGGGGGGGGPPLLLLLLLLLLEEEEEEEEVVVVV
+DEEEEEEDDDDDIWWFFFWWWWUUUUUUUUKKOOOOOPPRRZZZZZZZZZZZZZZZZWWWWWBBFBBBBBBBZZZZZZCCCSSFSSSFFOXXXXXXXXXYYYYYYYGGGGGGGGGGPLLLLLHLLLLEEEEEEEEVVVVV
+DEEEEEEEDDDDWEWWWWWWWWKUUUUUWWWKOOOOOOPPRZZZZZZZZZZZZZZZZWWWTWBBBBBBBBBBZZSSZZZCSSSSSSSFFOXXXXXXXXXXYYYYYYYYYGGGGGTTTTLLLLLLLLLLEOEEEEVVVVVV
+DEEEEEEEDDDWWWWWWWWWWWKKUIWWWWKKOOPOPPPPXZZZZZZZZZZZZZZZZKWWWWBBBBBBBBBBZZZSSSSSSSSSSSSSXOXXXXXXXXXXYYYYYYYYYGGYTTTTTTTTLLLLLLLLLLEEEEVVVVVV
+EEEEEEEEEDTWWWWWWWWWWIIIIIIWWWWWPPPPPPXXXZZZZZZZZZZZZZZZZKKWBBBBBBBBBBBBZZZSWSWSSSSWWSSSXXXXXXXXXXXXXYYYYYYYYYYYTTTTTTTTTTOLLLLLLLEVVVVVVVVV
+IEEEEEEEVWWWWWWWWWWPWIIIIIIWIIPPPPPPPPPXXZZZZZZZZZZZZZZZZZKKBBBBBBBBBBBBBBBBWSWSSWWWWWWXXXXXXXXXXXXXXYYYYYYYYYYTTTTTTTTTTTTLLLLLLVVVVVVVVVVV
+IEEEEEEEEEELWWWPWWPPWIIIIIIIIIPPPPPPPXXXXZZZZZZZZZZZZZZZZZPPBTBBBBBBBBBBBBMMWWWWWWWWWWWWXXXXXXXXXZYYYYYYYWYYYYYTTXTTTTTKKTTLLLLLLVVVVVVVVVVV
+IIIIIEEEEEEEPWWPPPPPPAIIIIIIIIPPPPPPPXXXXZZZZZZZZZZZZZZZZZPPPBBXNBBBBBBBBBMMWMWWWWWWWQQQXXXXXXXXXZZYYYYYYWWYYYYTTTTTTTTTTTTTLLLLVVVVVZZZZZZV
+IIIIEEEEEECCCNWPPAPPAAIIIIIIIPPPGPGPGGXXXXXZZZZZZZZZZZZZZZPPPPBXXVBBBBBBBMMMMMMWWWWWWWWXXXXXXXXXXZYYYYYYWWWYWWYTTWTWWWWWWTTTLPPLLVVVZZZZZZZV
+IIIIEEEEECCCCNNAAAPAAAIIIIIIIPPPGGGGGGXXXXXHHHWWZZZZZZZZZZPPPXXXXXXZXBBMMMMQQMMWWWWWWWWHXXXXXHXHHYYYEYYYWWWYWWWWWWWWWWWKKKKLLPVVVVVVVZZZZZZZ
+IVVVVGGEECCCNNNAAAPAAAAAIIIIIPPGGGGGGGGGXXXHWWWWZZZZZZZZZZPPPXXXXXXXXAAAMMMQQQMWWWWWWWWHHHXXHHXHEEEEEYEYWWWWWWWWWWCWWWWKKKKWHVVVOOVVVZQZZZZZ
+IVVVVGGEJJJJANAAAAAAAAAAYIPPPPPPGGGGGGGKXXXHWWWWWWWKPKPPPPPPXXXXXXXXXAAAMMMQQQQWWWWWWWWHHHHHHHHHHEEEEEEWWWWWFWWWWCCCCCCKKKKWHVVOOOOOVOQQZZZZ
+VVVVVVVJJJJAAAAAAAAAAAAAAPPPRPPPGPGGGGGKKHHHHWWWWWWWPPPPPPXXXXXXXXXXAAAAAMQQXQQVVVWWWWHHHHHHHHHHHEEEEEEWEWWFFWWWWICCCCCKKKKHHNNOOOOOOOQZZZZZ
+VVVVVVJJJJJJAAAAAAAAAAAAAAPPRRRPPPGGGGGKKKKHWWWWWWWWPPPPPPPPPXXXXXXXAAARAARQQRVVVVWWHHHHHHHHHHHEEEEEEEEEEFFFFFWWCCCCCCCKKKKHHHOOOOOOOOZZZZZZ
+VVVVVVJJJLJJAAAAAAAAAAAAAAAPPRRGGGGGGGGKKKKKFWWWWWWPPPPPPOOPXXXXXXXAAARRRRRQRRVVVVWWHHHOOOOOOOEEEEEEEEEEEFFFFFWWCCCCCCHKKKKHHHHHOJOOOOOOZZZZ
+VVVVVVJJJLLJJAAAAAAAAAAAWTPPRRRRRRGTGKKKKKKKFWWWWWWPPPPPPOOOOOXPPPCCAAARRRRRRRVVVVLSHHSCCOOOOOEEEEEEEEEEFFFFFFFCCCCCCCHKKKKKKKHOOOOOOOOOZZZO
+VVVVVVJJJLMJJUAAAAAAAAAAWTPRRRRRRRRRKKKKKKKKKWWWWWPPPPPPPOOOOOPPPCCCAAARRRRRRVVVVVVSSSSOOOOOOOOOEEEEEEEEAAAFFFFCCCCCCCHKKKKKKKHVVOOOOOOOOZOO
+VVVVVVJJJLMMUUUUAAAAAAAAATTRRRRRRRRKKKKKHKKOKWWWWWPPPPPPPPOOOOWWJOOOORRRRRRRRGVRVSSSSSSOOOOOOOJEEEEEEEEJJAAAFFFCCCCHHHHKKKKKKKGGVOOOOOOOOZOO
+VVAVVMMMMMMMHUUUUUAAAAATATTTRRRRRRRRKKKKKKKRRRWWWIIPPPPPPOOAOOWWWOOOORRRRRRRRRRRSSVSSSSOEOOOOOOEEEEEEEJJJAAFFFFCFCCHHHHHGKKKKKGGOOOOOOOOOOOO
+VVAVVMMMMMMMMUUUUUUAAAATTTTTTRRRRRTTKKKKKRRRRTTTTUIPPPPPPPMOOWWWWAOOOOXXRXRRRRRSSSSSSSSOOOOOOOUUUEEEEEJJJAAAFFFFFIIHHHHHHKKKKKGOOOOOOOOOOOOO
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data/13.ans

@@ -0,0 +1,2 @@
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data/14.ans

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data/14.in

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+vv<<>v>v>^^>v>^<^<v>v><>v^<^<>^<^<^<>>^^v<><><<^<v^v^<^^<^vvv^v>vv^><^>>>^^>>>^^>v<><<v^v^>><v>^vv>v^^><>v<^<vv<<^^>><<v>>^^><<><v<v><v<<v>^^^v^>^vvv<v>^<^vv<^<v^vv><>vv><<>>v^>>>^^>^<<>v>^^>^v<^>><<>>>^^v^<v^>>>^<>^><^v>vv>^vvvvv>><v^^<v^vv<v^v^^>v>>><<^^<><^vv^v>^^><<<<v>>v^<<<^v>>v>^^v<<vv^v><>^<^<v>>><<<<v>v<>>v<>^><>><><^^>^<v>v^v>><><>>^^^>^^vv^v>vv>^<vv^^v<<^>^<v<^v>>vv^><>>v>^^vv>^^><<<^v<^v^<>>>^^>vv<^>>>^v^^>>><v<vv<<<<<<<v<vv><^<v^><<vvv<^><^^vv><<>^><<<<<^v<<>^^^<>>v^<^v><^^v><v^><^<><vvv>^<^>>^<<v><<v<<^>v>>>v<v<<<>vv<^v>v>>>^<<>>>^v<<v^><vv><v>><v>><v<<>v<v<<<v<vv>>^>^^<v>^v<<v<>>>v<<^^^>^<^<^^^>>^^<<<^^^<><<>v^>v>^^<v<v>^<>^><vv^><^v>^<>^^<<>>^v><<<><^^v<^vv^^^v><<<^vv^>v^>^^^vvv^v>v><>><v<>^^v<<v^v>>v<<v><>v^v^v<^<<^v>vv<vv>><vv<<vv^vvvv<>^>vv^v<<v<>v>><<<<v^><v>^^v>>>v><vv>v>>>>>>><><vv<v<<<^<><<<^<>vv^><<<>^^>v<^<<>>>>^v^>>^^>^><vvv>^><^^<v^<^^^vv>>>^^vv<^>v>^^v<<<>v>>v^^<<v><^^v<>>>^><v><^<vvv<^v<^v^^<>>^v><^v>^v>^<^vvvv<<v>^>>^>^<<^^v<v^v<>^^>>>^^>^vvv<<v<^^v>v^<^>>
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data/21.ans

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data/21.in

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data/22.ans

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data/23.ans

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data/24.ans

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data/24.in

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data/25.ans

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