import Control.Applicative (empty)
import Control.Monad.Zip (mzip)
import Data.List (intercalate)
import Data.Maybe (catMaybes)

compose2 :: (a' -> b' -> c) -> (a -> a') -> (b -> b') -> a -> b -> c
compose2 f g h x y = f (g x) (h y)

(.:) :: (c -> d) -> (a -> b -> c) -> a -> b -> d
f .: g = (f .) . g
infixl 8 .:

countHits :: (Int, Int) -> [[Bool]] -> Int
countHits = length . filterMap lookup . catMaybes .: compose2 (zipWith mzip) maybeIndices justLines
    where justRightSteps = map (pure . Just) . enumFromThen 0
          downNothings = flip replicate Nothing . pred
          maybeIndices = uncurry $ compose2 (flip intercalate) justRightSteps downNothings
          justLines = map Just
          lookup = uncurry $ flip (!!)
          filterMap = filter id .: map

treeCharToBool :: Char -> Bool
treeCharToBool = (== '#')

main = do
    charLines <- lines <$> readFile "input.txt"
    let boolLines = cycle <$> map treeCharToBool <$> charLines
    print $ countHits (3, 1) boolLines
    print $ product $ flip countHits boolLines <$> [(1,1), (3,1), (5,1), (7,1), (1,2)]