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+-- 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 = 22
+
+type Coord = (Int, Int)
+type Input = [Coord]
+
+type Parser = Parsec Void String
+
+parseNumber :: Parser Int
+parseNumber = read <$> some digitChar
+
+parseCoord :: Parser Coord
+parseCoord = (,) <$> parseNumber <* char ','
+ <*> parseNumber <* eol
+
+parseInput' :: Parser Input
+parseInput' = some parseCoord <* eof
+
+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 Position = Position Coord Cost deriving Show
+instance Ord Position where
+ compare (Position _ c1) (Position _ c2) = c1 `compare` c2
+instance Eq Position where
+ (Position p1 _ ) == (Position p2 _ ) = p1 == p2
+type Visited = M.Map Coord Cost
+type Maze = M.Map Coord ()
+
+type Candidates = H.MinHeap Position
+
+compute :: Int -> Int -> Input -> Int
+compute size cutoff input = walk (M.singleton (0, 0) 0) $ H.singleton (Position (0, 0) 0)
+ where
+ walk :: Visited -> Candidates -> Int
+ walk v h | x == size && y == size = c
+ | otherwise = walk v' $ H.union h' $ H.fromList n
+ where
+ ([pos@(Position p@(x, y) c)], h') = H.splitAt 1 h
+ n = nexts v pos
+ v' = L.foldl' (\acc (Position a b) -> M.insert a b acc) v n
+ nexts :: Visited -> Position -> [Position]
+ nexts v (Position p c) = L.filter (valid v) . map (\p' -> Position p' (c+1)) $ candidates p
+ valid :: Visited -> Position -> Bool
+ valid v (Position p@(x, y) c) = x >= 0 && x <= size && y >= 0 && y <= size && not (M.member p maze) && case M.lookup p v of
+ Just c' -> c < c'
+ Nothing -> True
+ candidates :: Coord -> [Coord]
+ candidates (x, y) = [ (x-1, y), (x+1, y), (x, y-1), (x, y+1) ]
+ maze = M.fromList $ zip (take cutoff input) (L.repeat ())
+
+main :: IO ()
+main = do
+ example <- parseInput "example"
+ let exampleOutput = compute 6 12 example
+ when (exampleOutput /= exampleExpectedOutput) (error $ "example failed: got " ++ show exampleOutput ++ " instead of " ++ show exampleExpectedOutput)
+ input <- parseInput "input"
+ print $ compute 70 1024 input