import Linear.V2
import Data.List

type Rope = (V2 Int,V2 Int)

main :: IO ()
main = do
  input <- concat <$> map (parse . words) <$> lines <$> readFile "input" --should be 4, is 1
  print $ length $ nub $ day9 1 input
  print $ length $ nub $ day9 9 input
--  putStrLn $ intercalate "\n" $ print2D 10 $ sort $ nub $ day9 3 input

day9 :: Int -> [V2 Int] -> [V2 Int]
day9 n input
  | n > 1 = day9 (pred n) (zipWith (-) (tail field) field)
  | otherwise = field
  where field = concat $ map nub $ group $ reverse $ snd $ moveAll ((V2 0 0,V2 0 0),[]) input

parse :: [String] -> [V2 Int]
parse (dir:len:[])
  | dir == "R" = f $ V2 1 0
  | dir == "L" = f $ V2 (-1) 0
  | dir == "U" = f $ V2 0 1
  | dir == "D" = f $ V2 0 (-1)
  where f = take (read len) . repeat

moveAll :: (Rope,[V2 Int]) -> [V2 Int] -> (Rope,[V2 Int])
moveAll r (x:xs) = moveAll (move r x) xs
moveAll ((head,tail),xs) _ = ((head,tail),tail:xs)

move :: (Rope,[V2 Int]) -> V2 Int -> (Rope,[V2 Int])
move ((head,tail),ps) m = ((head+m,newTail),tail:ps)
    where newTail = tailMove (head + m - tail) + tail

tailMove (V2 a b) = V2 (f a) (f b)
    where f x
            | abs a == abs b = if abs a == 2 then x `div` 2 else 0
            | abs a + abs b == 1 = 0
            | otherwise = if abs x == 2 then x `div` 2 else x