{-# LANGUAGE BangPatterns #-} module Main where import Control.Monad import Control.Monad.ST import Control.Monad.State import Data.Bits import Data.Bool import Data.Char import Data.Coerce import qualified Data.ByteString.Char8 as BSC8 import qualified Data.Vector.Generic as VG import qualified Data.Vector.Generic.Mutable as VGM import qualified Data.Vector.Unboxed as VU main :: IO () main = do xs <- seqInput 4 putStrLn $ bool "No" "Yes" (solve xs) solve :: VU.Vector Int -> Bool solve xs = runST $ do let ys = quickSort xs a = ys VU.! 0 b = ys VU.! 1 c = ys VU.! 2 d = ys VU.! 3 return ((a + 1 == b) && (b + 1 == c) && (c + 1 == d)) type CParser a = StateT BSC8.ByteString Maybe a runCParser :: CParser a -> BSC8.ByteString -> Maybe (a, BSC8.ByteString) runCParser = runStateT {-# INLINE runCParser #-} int :: CParser Int int = coerce $ BSC8.readInt . BSC8.dropWhile isSpace {-# INLINE int #-} seqInput :: Int -> IO (VU.Vector Int) seqInput n = VU.unfoldrN n (runCParser int) <$> BSC8.getLine {-# INLINE seqInput #-} quickSort :: (Ord a, VG.Vector v a) => v a -> v a quickSort = quickSortBy compare quickSortBy :: VG.Vector v a => (a -> a -> Ordering) -> v a -> v a quickSortBy cmp = VG.modify $ fix $ \loop vec -> when (VGM.length vec > 1) $ do pivot <- getMedian3Pivot cmp vec cut <- pivotPartition cmp vec pivot loop (VGM.unsafeDrop cut vec) loop (VGM.unsafeTake cut vec) {-# INLINE quickSortBy #-} pivotPartition :: (VGM.MVector mv a) => (a -> a -> Ordering) -> mv s a -> a -> ST s Int pivotPartition cmp vec pivot = fix `flip` 0 `flip` VGM.length vec $ \loop !l !r -> do !l' <- flip fix l $ \loopL !i -> do x <- VGM.unsafeRead vec i case cmp x pivot of LT -> loopL (i + 1) _ -> return i !r' <- flip fix (r - 1) $ \loopR !i -> do x <- VGM.unsafeRead vec i case cmp pivot x of LT -> loopR (i - 1) _ -> return i if l' < r' then do VGM.unsafeSwap vec l' r' loop (l' + 1) r' else return l' {-# INLINE pivotPartition #-} getMedian3Pivot :: (VGM.MVector mv a) => (a -> a -> Ordering) -> mv s a -> ST s a getMedian3Pivot cmp vec = median cmp <$> VGM.unsafeRead vec 0 <*> VGM.unsafeRead vec (VGM.length vec `quot` 2) <*> VGM.unsafeRead vec (VGM.length vec - 1) {-# INLINE getMedian3Pivot #-} median :: (a -> a -> Ordering) -> a -> a -> a -> a median cmp x y z = case cmp x y of LT -> case cmp y z of LT -> y _ -> case cmp x z of LT -> z _ -> x _ -> case cmp x z of LT -> x _ -> case cmp y z of LT -> z _ -> y {-# INLINE median #-}