2024-16 in haskell

This commit is contained in:
Julien Dessaux 2024-12-20 00:40:40 +01:00
parent fe10994cde
commit 2824cc070a
Signed by: adyxax
GPG key ID: F92E51B86E07177E
4 changed files with 342 additions and 0 deletions

View file

@ -0,0 +1,17 @@
#################
#...#...#...#..E#
#.#.#.#.#.#.#.#.#
#.#.#.#...#...#.#
#.#.#.#.###.#.#.#
#...#.#.#.....#.#
#.#.#.#.#.#####.#
#.#...#.#.#.....#
#.#.#####.#.###.#
#.#.#.......#...#
#.#.###.#####.###
#.#.#...#.....#.#
#.#.#.#####.###.#
#.#.#.........#.#
#.#.#.#########.#
#S#.............#
#################

View file

@ -0,0 +1,90 @@
-- requires cabal install --lib megaparsec parser-combinators heap vector
module Main (main) where
import Control.Monad (void, when)
import Data.Functor
import qualified Data.Heap as H
import qualified Data.List as L
import qualified Data.Map as M
import qualified Data.Vector as V
import Data.Void (Void)
import Text.Megaparsec
import Text.Megaparsec.Char
exampleExpectedOutput = 11048
data Tile = Wall | Floor | Start | End deriving (Eq, Show)
type Line = V.Vector Tile
type Input = V.Vector Line
type Parser = Parsec Void String
parseTile :: Parser Tile
parseTile = char '#' $> Wall
<|> char '.' $> Floor
<|> char 'E' $> End
<|> char 'S' $> Start
parseLine :: Parser Line
parseLine = do
line <- some parseTile <* eol
return $ V.generate (length line) (line !!)
parseInput' :: Parser Input
parseInput' = do
line <- some parseLine <* eof
return $ V.generate (length line) (line !!)
parseInput :: String -> IO Input
parseInput filename = do
input <- readFile filename
case runParser parseInput' filename input of
Left bundle -> error $ errorBundlePretty bundle
Right input' -> return input'
type Cost = Int
data Heading = N | S | E | W deriving (Eq, Show)
type Coord = (Int, Int)
data Position = Position Coord Heading Cost deriving Show
instance Ord Position where
compare (Position _ _ c1) (Position _ _ c2) = c1 `compare` c2
instance Eq Position where
(Position _ _ c1) == (Position _ _ c2) = c1 == c2
type Visited = M.Map Coord Int
type Candidates = H.MinHeap Position
compute :: Input -> Int
compute input = walk M.empty $ H.singleton (Position start E 0)
where
walk :: Visited -> Candidates -> Int
walk v h | t == End = c
| otherwise = walk v' $ H.union h' $ H.fromList $ nexts v' $ Position p d c
where
([(Position p@(x, y) d c)], h') = H.splitAt 1 h
t = input V.! y V.! x
v' = case M.lookup p v of
Just c' -> if c < c' then M.insert p c v else v
Nothing -> M.insert p c v
nexts :: Visited -> Position -> [Position]
nexts v p = L.filter (valid v) $ candidates p
valid :: Visited -> Position -> Bool
valid v (Position p@(x, y) _ c) = input V.! y V.! x /= Wall && case M.lookup p v of
Just c' -> c < c'
Nothing -> True
candidates :: Position -> [Position]
candidates (Position (x, y) N c) = [ Position (x-1, y) W (c+1001), Position (x+1, y) E (c+1001), Position (x, y-1) N (c+1) ]
candidates (Position (x, y) S c) = [ Position (x-1, y) W (c+1001), Position (x+1, y) E (c+1001), Position (x, y+1) S (c+1) ]
candidates (Position (x, y) E c) = [ Position (x, y-1) N (c+1001), Position (x, y+1) S (c+1001), Position (x+1, y) E (c+1) ]
candidates (Position (x, y) W c) = [ Position (x, y-1) N (c+1001), Position (x, y+1) S (c+1001), Position (x-1, y) W (c+1) ]
height = V.length input
width = V.length (input V.! 0)
start = (1, height - 2)
main :: IO ()
main = do
example <- parseInput "example"
let exampleOutput = compute example
when (exampleOutput /= exampleExpectedOutput) (error $ "example failed: got " ++ show exampleOutput ++ " instead of " ++ show exampleExpectedOutput)
input <- parseInput "input"
print $ compute input

141
2024/16-Reindeer_Maze/input Normal file
View file

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

View file

@ -0,0 +1,94 @@
-- requires cabal install --lib megaparsec parser-combinators heap vector
module Main (main) where
import Control.Monad (void, when)
import Data.Functor
import qualified Data.Heap as H
import qualified Data.List as L
import qualified Data.Map as M
import qualified Data.Set as S
import qualified Data.Vector as V
import Data.Void (Void)
import Text.Megaparsec
import Text.Megaparsec.Char
exampleExpectedOutput = 64
data Tile = Wall | Floor | Start | End deriving (Eq, Show)
type Line = V.Vector Tile
type Input = V.Vector Line
type Parser = Parsec Void String
parseTile :: Parser Tile
parseTile = char '#' $> Wall
<|> char '.' $> Floor
<|> char 'E' $> End
<|> char 'S' $> Start
parseLine :: Parser Line
parseLine = do
line <- some parseTile <* eol
return $ V.generate (length line) (line !!)
parseInput' :: Parser Input
parseInput' = do
line <- some parseLine <* eof
return $ V.generate (length line) (line !!)
parseInput :: String -> IO Input
parseInput filename = do
input <- readFile filename
case runParser parseInput' filename input of
Left bundle -> error $ errorBundlePretty bundle
Right input' -> return input'
type Cost = Int
data Heading = N | S | E | W deriving (Eq, Ord, Show)
type Coord = (Int, Int, Heading)
type Path = S.Set Coord
data Position = Position Coord Cost Path deriving (Eq, Show)
instance Ord Position where
compare (Position _ c1 _) (Position _ c2 _) = c1 `compare` c2
type Visited = M.Map Coord Int
type Candidates = H.MinHeap Position
compute :: Input -> Int
compute input = S.size $ S.map (\(x, y, _) -> (x, y)) $ walk infinity M.empty $ H.singleton (Position start 0 S.empty)
where
walk :: Int -> Visited -> Candidates -> S.Set Coord
walk l v h | H.size h == 0 = S.empty
| c > l = walk l v' h'
| t == End = S.union s' $ walk c v' h'
| otherwise = walk l v' $ H.union h' $ H.fromList $ nexts v' $ Position p c s'
where
([(Position p@(x, y, d) c s)], h') = H.splitAt 1 h
t = input V.! y V.! x
v' = case M.lookup p v of
Just c' -> if c < c' then M.insert p c v else v
Nothing -> M.insert p c v
s' = S.insert p s
nexts :: Visited -> Position -> [Position]
nexts v p = L.filter (valid v) $ candidates p
valid :: Visited -> Position -> Bool
valid v (Position p@(x, y, _) c _) = input V.! y V.! x /= Wall && case M.lookup p v of
Just c' -> c <= c'
Nothing -> True
candidates :: Position -> [Position]
candidates (Position (x, y, N) c s) = [ Position (x-1, y, W) (c+1001) s, Position (x+1, y, E) (c+1001) s, Position (x, y-1, N) (c+1) s ]
candidates (Position (x, y, S) c s) = [ Position (x-1, y, W) (c+1001) s, Position (x+1, y, E) (c+1001) s, Position (x, y+1, S) (c+1) s ]
candidates (Position (x, y, E) c s) = [ Position (x, y-1, N) (c+1001) s, Position (x, y+1, S) (c+1001) s, Position (x+1, y, E) (c+1) s ]
candidates (Position (x, y, W) c s) = [ Position (x, y-1, N) (c+1001) s, Position (x, y+1, S) (c+1001) s, Position (x-1, y, W) (c+1) s ]
height = V.length input
width = V.length (input V.! 0)
start = (1, height - 2, E)
infinity = maxBound :: Int
main :: IO ()
main = do
example <- parseInput "example"
let exampleOutput = compute example
when (exampleOutput /= exampleExpectedOutput) (error $ "example failed: got " ++ show exampleOutput ++ " instead of " ++ show exampleExpectedOutput)
input <- parseInput "input"
print $ compute input