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+-- requires cabal install --lib megaparsec parser-combinators
+module Main (main) where
+
+import Control.Applicative.Permutations
+import Control.Monad (void, when)
+import Data.Char qualified as C
+import Data.Either
+import Data.Functor
+import Data.List qualified as L
+import Data.Map qualified as M
+import Data.Maybe
+import Data.Set qualified as S
+import Data.Void (Void)
+import Text.Megaparsec
+import Text.Megaparsec.Char
+
+import Debug.Trace
+
+exampleExpectedOutput = 6
+
+data Direction = L | R deriving (Eq, Show)
+type Branch = (String, String)
+type Map = M.Map String Branch
+data Input = Input [Direction] Map deriving Show
+
+type Parser = Parsec Void String
+
+parseDirection :: Parser Direction
+parseDirection = char 'L' $> L
+ <|> char 'R' $> R
+
+parseNode :: Parser String
+parseNode = some alphaNumChar
+
+parseBranch :: Parser Branch
+parseBranch = (,) <$> (char '(' *> parseNode)
+ <*> (string ", " *> parseNode <* char ')')
+
+parseMapElt :: Parser (String, Branch)
+parseMapElt = (,) <$> (parseNode <* string " = ")
+ <*> (parseBranch <* eol)
+
+parseInput' :: Parser Input
+parseInput' = Input <$> some parseDirection <* eol <* eol
+ <*> (M.fromList <$> some parseMapElt <* 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'
+
+compute :: Input -> Int
+compute (Input directions m) = L.foldr (lcm . pathLength 0) 1 startingNodes
+ where
+ startingNodes = L.filter ((==) 'A' . last) $ M.keys m
+ pathLength :: Int -> String -> Int
+ pathLength i node | last node == 'Z' = i
+ | otherwise = pathLength (i+1) (nextOne node)
+ where
+ nextOne :: String -> String
+ nextOne = next . (m M.!)
+ next :: Branch -> String
+ next | directions L.!! (i `mod` l) == L = fst
+ | otherwise = snd
+ l = length directions
+
+main :: IO ()
+main = do
+ example <- parseInput "example2"
+ let exampleOutput = compute example
+ when (exampleOutput /= exampleExpectedOutput) (error $ "example failed: got " ++ show exampleOutput ++ " instead of " ++ show exampleExpectedOutput)
+ input <- parseInput "input"
+ print $ compute input
+