eggDrop/egg.hs

30 lignes
746 B
Haskell
Brut Vue normale Historique

2021-03-11 20:44:46 -05:00
import Data.Map (Map, (!))
import qualified Data.Map as Map
loeb :: Functor f => f (f a -> a) -> f a
loeb x = go where go = fmap ($ go) x
loebify :: Integer -> Integer -> (Map (Integer, Integer) Integer -> Integer)
loebify n k
| k == 1 || k == 0 || n == 1 = const k
| otherwise = (\m -> 1 + (minimum $ map (\i -> f m i) [1..k]))
where
f m i = max (m ! ((n-1),(i-1))) (m ! (n,(k-i)))
solve :: Integer -> Integer -> Integer
solve n k = (loeb m) ! (n,k)
where
f (n,k) = ((n,k), loebify n k)
m = Map.fromList $ map f [ (x,y) | x <- [1..n], y <- [0..k]]
-----------------
-- gross io bs --
-----------------
main :: IO ()
main = do
l <- getLine
let (n:k:_) = map read $ words l :: [Integer]
putStrLn $ show $ solve n k