Day 18: Ram Run

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FAQ

2 points

C#

using QuickGraph;
using QuickGraph.Algorithms.ShortestPath;

namespace aoc24;

public class Day18 : Solver {
  private int width = 71, height = 71, bytes = 1024;
  private HashSet<(int, int)> fallen_bytes;
  private List<(int, int)> fallen_bytes_in_order;
  private record class Edge((int, int) Source, (int, int) Target) : IEdge<(int, int)>;
  private DelegateVertexAndEdgeListGraph<(int, int), Edge> MakeGraph() => new(GetAllVertices(), GetOutEdges);

  private readonly (int, int)[] directions = [(-1, 0), (0, 1), (1, 0), (0, -1)];

  private bool GetOutEdges((int, int) arg, out IEnumerable<Edge> result_enumerable) {
    List<Edge> result = [];
    foreach (var (dx, dy) in directions) {
      var (nx, ny) = (arg.Item1 + dx, arg.Item2 + dy);
      if (nx < 0 || ny < 0 || nx >= width || ny >= height) continue;
      if (fallen_bytes.Contains((nx, ny))) continue;
      result.Add(new(arg, (nx, ny)));
    }
    result_enumerable = result;
    return true;
  }

  private IEnumerable<(int, int)> GetAllVertices() {
    for (int i = 0; i < width; i++) {
      for (int j = 0; j < height; j++) {
        yield return (i, j);
      }
    }
  }

  public void Presolve(string input) {
    fallen_bytes_in_order = [..input.Trim().Split("\n")
      .Select(line => line.Split(","))
      .Select(pair => (int.Parse(pair[0]), int.Parse(pair[1])))];
    fallen_bytes = [.. fallen_bytes_in_order.Take(bytes)];
  }

  private double Solve() {
    var graph = MakeGraph();
    var search = new AStarShortestPathAlgorithm<(int, int), Edge>(graph, _ => 1, vtx => vtx.Item1 + vtx.Item2);
    search.SetRootVertex((0, 0));
    search.ExamineVertex += vertex => {
      if (vertex.Item1 == width - 1 && vertex.Item2 == width - 1) search.Abort();
    };
    search.Compute();
    return search.Distances[(width - 1, height - 1)];
  }

  public string SolveFirst() => Solve().ToString();

  public string SolveSecond() {
    foreach (var b in fallen_bytes_in_order[bytes..]) {
      fallen_bytes.Add(b);
      if (Solve() > width*height) return $"{b.Item1},{b.Item2}";
    }
    throw new Exception("solution not found");
  }
}
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2 points
*

Haskell

Wasn’t there a pathfinding problem just recently?

Edit: Optimization to avoid recalculating paths all the time

Haskell with lambdas
import Control.Arrow
import Control.Monad
import Data.Bifunctor hiding (first, second)

import Data.Set (Set)
import Data.Map (Map)

import qualified Data.List as List
import qualified Data.Set as Set
import qualified Data.Map as Map
import qualified Data.Maybe as Maybe

parse :: String -> [(Int, Int)]
parse = map (join bimap read) . map (break (== ',') >>> second (drop 1)) . filter (/= "") . lines

lowerBounds = (0, 0)
exitPosition = (70, 70)
initialBytes = 1024

adjacent (py, px) = Set.fromDistinctAscList [(py-1, px), (py, px-1), (py, px+1), (py+1, px)]

data Cost = Wall | Explored Int
        deriving (Show, Eq)

inBounds (py, px)
        | py < 0 = False
        | px < 0 = False
        | py > fst exitPosition = False
        | px > snd exitPosition = False
        | otherwise = True

dijkstra :: Map Int (Set (Int, Int)) -> Map (Int, Int) Cost -> (Int, (Int, Int), Map (Int, Int) Cost)
dijkstra queue walls
        | Map.null queue = (-1, (-1, -1), Map.empty)
        | minPos == exitPosition = (minKey, minPos, walls)
        | Maybe.isJust (walls Map.!? minPos) = dijkstra remainingQueue' walls
        | not . inBounds $ minPos = dijkstra remainingQueue' walls
        | otherwise = dijkstra neighborQueue updatedWalls
        where
                ((minKey, posSet), remainingQueue) = Maybe.fromJust . Map.minViewWithKey $ queue
                (minPos, remainingPosSet) = Maybe.fromJust . Set.minView $ posSet
                remainingQueue' = if not . Set.null $ remainingPosSet then Map.insert minKey remainingPosSet remainingQueue else remainingQueue
                neighborQueue = List.foldl (\ m n -> Map.insertWith (Set.union) neighborKey (Set.singleton n) m) remainingQueue' neighbors
                updatedWalls = Map.insert minPos (Explored minKey) walls
                neighborKey = minKey + 1
                neighbors = adjacent minPos

isExplored :: Cost -> Bool
isExplored Wall = False
isExplored (Explored _) = True

findPath :: Int -> (Int, Int) -> Map (Int, Int) Cost -> [(Int, Int)]
findPath n p ts
        | p == lowerBounds = [lowerBounds]
        | n == 0 = error "Out of steps when tracing backwards"
        | List.null neighbors = error "No matching neighbors when tracing backwards"
        | otherwise = p : findPath (pred n) (fst . head $ neighbors) ts
        where
                neighbors = List.filter ((== Explored (pred n)) . snd) . List.filter (isExplored . snd) . List.map (join (,) >>> second (ts Map.!)) . List.filter inBounds . Set.toList . adjacent $ p

runDijkstra = flip zip (repeat Wall)
        >>> Map.fromList
        >>> dijkstra (Map.singleton 0 (Set.singleton lowerBounds))

fst3 :: (a, b, c) -> a
fst3 (a, _, _) = a

thrd :: (a, b, c) -> c
thrd (_, _, c) = c

part1 = take initialBytes
        >>> runDijkstra
        >>> \ (n, _, _) -> n

firstFailing :: [(Int, Int)] -> [[(Int, Int)]] -> (Int, Int)
firstFailing path (bs:bss)
        | List.last bs `List.notElem` path = firstFailing path bss
        | c == (-1) = List.last bs
        | otherwise = firstFailing (findPath c p ts) bss
        where
                (c, p, ts) = runDijkstra bs

part2 bs = repeat
        >>> zip [initialBytes..length bs]
        >>> map (uncurry take)
        >>> firstFailing path
        $ bs
        where
                (n, p, ts) = runDijkstra . take 1024 $ bs
                path = findPath n p ts

main = getContents
        >>= print
        . (part1 &&& part2)
        . parse
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2 points

Javascript

Reused my logic from Day 16. For part two I manually changed the bytes (i on line 271) to narrow in on a solution faster, but this solution should solve it eventually.

https://blocks.programming.dev/Zikeji/c8fdef54f78c4fb6a79cf1dc5551ff4d

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2 points

Haskell

I did an easy optimization for part 2, but it’s not too slow without.

Solution
import Control.Monad
import Data.Ix
import Data.List
import Data.Map qualified as Map
import Data.Maybe
import Data.Set (Set)
import Data.Set qualified as Set

readInput :: String -> [(Int, Int)]
readInput = map readCoords . lines
  where
    readCoords l = let (a, _ : b) = break (== ',') l in (read a, read b)

findRoute :: (Int, Int) -> Set (Int, Int) -> Maybe [(Int, Int)]
findRoute goal blocked = go Set.empty (Map.singleton (0, 0) [])
  where
    go seen paths
      | Map.null paths = Nothing
      | otherwise =
          (paths Map.!? goal)
            `mplus` let seen' = Set.union seen (Map.keysSet paths)
                        paths' =
                          (`Map.withoutKeys` seen')
                            . foldl' (flip $ uncurry Map.insert) Map.empty
                            . concatMap (\(p, path) -> (,p : path) <$> step p)
                            $ Map.assocs paths
                     in go seen' paths'
    step (x, y) = do
      (dx, dy) <- [(0, -1), (0, 1), (-1, 0), (1, 0)]
      let p' = (x + dx, y + dy)
      guard $ inRange ((0, 0), goal) p'
      guard $ p' `Set.notMember` blocked
      return p'

dropAndFindRoutes goal skip bytes =
  let drops = drop skip $ zip bytes $ drop 1 $ scanl' (flip Set.insert) Set.empty bytes
   in zip (map fst drops) $ scanl' go (findRoute goal (snd $ head drops)) $ tail drops
  where
    go route (p, blocked) = do
      r <- route
      if p `elem` r then findRoute goal blocked else route

main = do
  input <- readInput <$> readFile "input18"
  let routes = dropAndFindRoutes (70, 70) 1024 input
  print $ length <$> (snd . head) routes
  print $ fst <$> find (isNothing . snd) routes
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2 points
*

Dart

I knew keeping my search code from day 16 would come in handy, I just didn’t expect it to be so soon.

For Part 2 it finds that same path (laziness on my part), then does a simple binary chop to home in on the last valid path. (was then searches for the first block that will erm block that path, and re-runs the search after that block has dropped, repeating until blocked. Simple but okay. )

90 lines, half of which is my copied search method. Runs in a couple of seconds which isn’t great, but isn’t bad. Binary chop dropped it to 200ms.

import 'dart:math';
import 'package:collection/collection.dart';
import 'package:more/more.dart';

var d4 = <Point<num>>[Point(0, 1), Point(0, -1), Point(1, 0), Point(-1, 0)];

solve(List<String> lines, int count, Point end, bool inPart1) {
  var blocks = (lines
      .map((e) => e.split(',').map(int.parse).toList())
      .map((p) => Point<num>(p[0], p[1]))).toList();
  var blocksSofar = blocks.take(count).toSet();
  var start = Point(0, 0);
  Map<Point, num> fNext(Point here) => {
        for (var d in d4
            .map((d) => d + here)
            .where((e) =>
                e.x.between(start.x, end.x) &&
                e.y.between(start.y, end.y) &&
                !blocksSofar.contains(e))
            .toList())
          d: 1
      };

  int fHeur(Point here) => 1;
  bool fAtEnd(Point here) => here == end;
  var cost = aStarSearch<Point>(start, fNext, fHeur, fAtEnd);

  if (inPart1) return cost.first;
  var lo = count, hi = blocks.length;
  while (lo <= hi) {
    var mid = (lo + hi) ~/ 2;
    blocksSofar = blocks.take(mid).toSet();
    cost = aStarSearch<Point>(start, fNext, fHeur, fAtEnd);
    (cost.first > 0) ? lo = mid + 1 : hi = mid - 1;
  }
  var p = blocks[lo - 1];
  return '${p.x},${p.y}';
}

part1(lines, count, end) => solve(lines, count, end, true);
part2(lines, count, end) => solve(lines, count, end, false);
That search method
/// Returns cost to destination, plus list of routes to destination.
/// Does Dijkstra/A* search depending on whether heuristic returns 1 or
/// something better.
(num, List<List<T>>) aStarSearch<T>(T start, Map<T, num> Function(T) fNext,
    int Function(T) fHeur, bool Function(T) fAtEnd,
    {multiplePaths = false}) {
  var cameFrom = SetMultimap<T, T>.fromEntries([MapEntry(start, start)]);

  var ends = <T>{};
  var front = PriorityQueue<T>((a, b) => fHeur(a).compareTo(fHeur(b)))
    ..add(start);
  var cost = <T, num>{start: 0};
  while (front.isNotEmpty) {
    var here = front.removeFirst();
    if (fAtEnd(here)) {
      ends.add(here);
      continue;
    }
    var ns = fNext(here);
    for (var n in ns.keys) {
      var nCost = cost[here]! + ns[n]!;
      if (!cost.containsKey(n) || nCost < cost[n]!) {
        cost[n] = nCost;
        front.add(n);
        cameFrom.removeAll(n);
        cameFrom[n].add(here);
      }
      if (multiplePaths && cost[n] == nCost) cameFrom[n].add(here);
    }
  }

  Iterable<List<T>> routes(T h) sync* {
    if (h == start) {
      yield [h];
      return;
    }
    for (var p in cameFrom[h]) {
      yield* routes(p).map((e) => e + [h]);
    }
  }

  if (ends.isEmpty) return (-1, []);
  var minCost = ends.map((e) => cost[e]!).min;
  ends = ends.where((e) => cost[e]! == minCost).toSet();
  return (minCost, ends.fold([], (s, t) => s..addAll(routes(t).toList())));
}
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