Day 18: Ram Run

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FAQ

3 points

Haskell

solution
import Control.Arrow
import Control.Monad
import Control.Monad.RWS
import Control.Monad.Trans.Maybe
import Data.Array (inRange)
import Data.Char
import Data.Set qualified as S
import Text.ParserCombinators.ReadP hiding (get)

parse = fst . last . readP_to_S (endBy ((,) <$> num <*> (char ',' *> num)) $ char '\n')
 where
  num = read <$> munch1 isDigit

bounds = ((0, 0), (70, 70))

bfs :: MaybeT (RWS (S.Set (Int, Int)) () (S.Set (Int, Int), [(Int, (Int, Int))])) Int
bfs = do
  (seen, (c, x) : xs) <- get
  modify . second $ const xs
  isCorrupt <- asks (S.member x)

  when (not (x `S.member` seen) && not isCorrupt && inRange bounds x) $
    modify (S.insert x *** (++ ((succ c,) <$> neighbors x)))

  if x == snd bounds
    then return c
    else bfs

neighbors (x, y) = [(succ x, y), (pred x, y), (x, succ y), (x, pred y)]

findPath = fst . flip (evalRWS (runMaybeT bfs)) (mempty, [(0, (0, 0))]) . S.fromList

part1 = findPath . take 1024

search corrupt = go 0 (length corrupt)
 where
  go l r = case (findPath $ take (pred m) corrupt, findPath $ take m corrupt) of
    (Just _, Just _) -> go m r
    (Just _, Nothing) -> Just $ pred m
    (Nothing, Nothing) -> go l m
   where
    m = (l + r) `div` 2

part2 = liftM2 fmap (!!) search

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

Haskell

Not really happy with performance, binary search would speed this up a bunch, takes about 1.3 seconds.

Update: Binary search got it to 960 ms.

Code
import Data.Maybe
import qualified Data.Set as S

type Coord = (Int, Int)

parse :: String -> [Coord]
parse = map (read . ('(' :) . (++ ")")) . takeWhile (not . null) . lines

shortest :: Coord -> [Coord] -> Maybe Int
shortest (x0, y0) corrupted' = go $ S.singleton (x0 - 1, y0 - 1)
    where
        corrupted = S.fromList corrupted'
        inside (x, y)
            | x < 0     = False
            | y < 0     = False
            | x0 <= x   = False
            | y0 <= y   = False
            | otherwise = True
        grow cs = S.filter inside $ S.unions $ cs :
            [ S.mapMonotonic (\(x, y) -> (x + dx, y + dy)) cs
            | (dx, dy) <- [(-1, 0), (0, -1), (0, 1), (1, 0)]
            ]
        go visited
            | (0, 0) `S.member` visited = Just 0
            | otherwise                 = case grow visited S.\\ corrupted of
                visited'
                    | S.size visited == S.size visited' -> Nothing
                    | otherwise                         -> succ <$> go visited'

main :: IO ()
main = do
    rs <- parse <$> getContents
    let size = (71, 71)
    print $ fromJust $ shortest size $ take 1024 rs
    putStrLn $ init $ tail $ show $ last $ zipWith const (reverse rs) $
        takeWhile (isNothing . shortest size) $ iterate init rs
Faster (binary search)
import Data.Maybe
import qualified Data.Set as S

type Coord = (Int, Int)

parse :: String -> [Coord]
parse = map (read . ('(' :) . (++ ")")) . takeWhile (not . null) . lines

shortest :: Coord -> [Coord] -> Maybe Int
shortest (x0, y0) corrupted' = go $ S.singleton (x0 - 1, y0 - 1)
    where
        corrupted = S.fromList corrupted'
        inside (x, y)
            | x < 0     = False
            | y < 0     = False
            | x0 <= x   = False
            | y0 <= y   = False
            | otherwise = True
        grow cs = S.filter inside $ S.unions $ cs :
            [ S.mapMonotonic (\(x, y) -> (x + dx, y + dy)) cs
            | (dx, dy) <- [(-1, 0), (0, -1), (0, 1), (1, 0)]
            ]
        go visited
            | (0, 0) `S.member` visited = Just 0
            | otherwise                 = case grow visited S.\\ corrupted of
                visited'
                    | S.size visited == S.size visited' -> Nothing
                    | otherwise                         -> succ <$> go visited'

solve2 :: Coord -> [Coord] -> Coord
solve2 r0 corrupted = go 0 $ length corrupted
    where
        go a z
            | succ a == z = corrupted !! a
            | otherwise   =
                let x = (a + z) `div` 2
                in  case shortest r0 $ take x corrupted of
                        Nothing -> go a x
                        Just _  -> go x z

main :: IO ()
main = do
    rs <- parse <$> getContents
    let size = (71, 71)
    print $ fromJust $ shortest size $ take 1024 rs
    putStrLn $ init $ tail $ show $ solve2 size rs
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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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