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+-- requires cabal install --lib megaparsec parser-combinators heap vector
+module Main (main) where
+
+import Control.Monad (void, when)
+import qualified Data.List as L
+import Data.Void (Void)
+import Text.Megaparsec
+import Text.Megaparsec.Char
+
+type Pair = (Int, Int)
+type Robot = (Pair, Pair)
+type Input = [Robot]
+
+type Parser = Parsec Void String
+
+parseNumber :: Parser Int
+parseNumber = read <$> some (digitChar <|> char '-')
+
+parsePair :: Parser Pair
+parsePair = (,) <$> parseNumber <* char ','
+ <*> parseNumber
+
+parseRobot :: Parser Robot
+parseRobot = (,) <$> (string "p=" *> parsePair)
+ <*> (string " v=" *> parsePair)
+
+parseInput' :: Parser Input
+parseInput' = some (parseRobot <* eol) <* 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 :: Int -> Int -> Input -> Int -- the minimum safety score is the answer
+compute width height input = fst $ L.foldl' (\acc@(_, a) n@(_, b) -> if a > b then n else acc) (0, 1000000000) safeties
+ where
+ safeties = [(i, safety i)|i<-[0..width*height]]
+ mx = width `div` 2
+ my = height `div` 2
+ safety i = product $ L.foldl' score [0, 0, 0, 0] $ map (step i) input
+ step i ((x, y), (v, w)) = (((x + v * i) `mod` width), ((y + w * i) `mod` height))
+ score acc@[a, b, c, d] (x, y) | x < mx && y < my = [a+1, b, c, d]
+ | x > mx && y < my = [a, b+1, c, d]
+ | x < mx && y > my = [a, b, c+1, d]
+ | x > mx && y > my = [a, b, c, d+1]
+ | otherwise = acc
+
+main :: IO ()
+main = do
+ input <- parseInput "input"
+ print $ compute 101 103 input