#575859 (Haskell) No.406 鴨等間隔の法則

• 問題: No.406 鴨等間隔の法則
• ユーザー: こまる
• 提出日時: 2020-11-05 17:53:35
• 言語: Haskell (9.8.2)
• 結果: CE (最新)
  AC
  (最初)
• 実行時間: -
• コード長: 12,714 bytes
• コンパイル時間: 840 ms
• コンパイル使用メモリ: 195,336 KB
• 最終ジャッジ日時: 2024-11-14 23:54:09
• 合計ジャッジ時間: 1,634 ms
• ジャッジサーバーID （参考情報）: judge1 / judge2

コンパイルメッセージ

Loaded package environment from /home/judge/.ghc/x86_64-linux-9.8.2/environments/default
[1 of 2] Compiling Main             ( Main.hs, Main.o )

Main.hs:42:33: error: [GHC-87543]
    Ambiguous occurrence ‘.>>.’.
    It could refer to
       either ‘Data.Bits..>>.’,
              imported from ‘Data.Bits’ at Main.hs:10:1-26,
           or ‘Main..>>.’, defined at Main.hs:106:1.
   |
42 |     mask k x = fromIntegral $ x .>>. k .&. 0xffff
   |                                 ^^^^

Main.hs:71:33: error: [GHC-87543]
    Ambiguous occurrence ‘.>>.’.
    It could refer to
       either ‘Data.Bits..>>.’,
              imported from ‘Data.Bits’ at Main.hs:10:1-26,
           or ‘Main..>>.’, defined at Main.hs:106:1.
   |
71 |     mask k x = fromIntegral $ x .>>. k .&. 0xffff
   |                                 ^^^^

Main.hs:90:14: error: [GHC-87543]
    Ambiguous occurrence ‘.>>.’.
    It could refer to
       either ‘Data.Bits..>>.’,
              imported from ‘Data.Bits’ at Main.hs:10:1-26,
           or ‘Main..>>.’, defined at Main.hs:106:1.
   |
90 |         if x .>>. 32 == y .>>. 32
   |              ^^^^

Main.hs:90:27: error: [GHC-87543]
    Ambiguous occurrence ‘.>>.’.
    It could refer to
       either ‘Data.Bits..>>.’,
              imported from ‘Data.Bits’ at Main.hs:10:1-26,
           or ‘Main..>>.’, defined at Main.hs:106:1.
   |
90 |         if x .>>. 32 == y .>>. 32
   |                           ^^^^

Main.hs:95:26: error: [GHC-87543]
    Ambiguous occurrence ‘.<<.’.
    It could refer to
       either ‘Data.Bits..<<.’,
              imported from ‘Data.Bits’ at Main.hs:10:1-26,
           or ‘Main..<<.’, defined at Main.hs:102:1.
   |
95 |     $ VU.imap (\i x -> x .<<. 32 .|. i) vec
   |                          ^^^^

Main.hs:125:24: error: [GHC-87543]
    Ambiguous occurrence ‘.<<.’.
    It could refer to
       either ‘Data.Bits..<<.’,
              imported from �

ソースコード

{-# LANGUAGE BangPatterns         #-}
{-# LANGUAGE DefaultSignatures    #-}
{-# LANGUAGE FlexibleInstances    #-}
{-# LANGUAGE OverloadedStrings    #-}
{-# LANGUAGE TupleSections        #-}
{-# LANGUAGE UndecidableInstances #-}

import           Control.Monad
import           Control.Monad.State
import           Data.Bits
import           Data.Char
import           Data.Coerce
import qualified Data.Foldable                     as F
import           Data.Int
import           Data.IORef
import           Data.Maybe
import           Data.Word
import           System.IO
import           Unsafe.Coerce
import qualified Data.ByteString                   as BS
import qualified Data.ByteString.Builder           as BSB
import qualified Data.ByteString.Char8             as BSC8
import qualified Data.Vector.Fusion.Stream.Monadic as VFSM
import qualified Data.Vector.Generic               as VG
import qualified Data.Vector.Unboxed               as VU
import qualified Data.Vector.Unboxed.Mutable       as VUM

main :: IO ()
main = do
  n  <- readLn :: IO Int
  xs <- radixSortInt <$> seqInput n
  check <- newIORef True
  rep (n - 1) $ \i -> when ((xs VU.! (i + 1) - (xs VU.! i)) /= (xs VU.! 1 - xs VU.! 0)) $ writeIORef check False
  b <- readIORef check
  if xs VU.! 1 /= xs VU.! 0 && b
    then putStrLn "YES"
    else putStrLn "NO"

radixSort64 :: VU.Vector Word64 -> VU.Vector Word64
radixSort64 vword = F.foldl' step vword [0,16,32,48]
  where
    mask k x = fromIntegral $ x .>>. k .&. 0xffff
    step v k = VU.create $ do
      pref <- VU.unsafeThaw
            . VU.prescanl' (+) 0
            . VU.unsafeAccumulate (+) (VU.replicate 0x10000 0)
            $ VU.map ((, 1) . mask k) v
      res <- VUM.unsafeNew $ VU.length v
      VU.forM_ v $ \x -> do
        let !masked = mask k x
        i <- VUM.unsafeRead pref masked
        VUM.unsafeWrite pref masked $ i + 1
        VUM.unsafeWrite res i x
      return res
{-# INLINE radixSort64 #-}

radixSort :: (VU.Unbox a, Word64Encode a) => VU.Vector a -> VU.Vector a
radixSort = VU.map decode64 . radixSort64 . VU.map encode64
{-# INLINE radixSort #-}

radixSortInt :: VU.Vector Int -> VU.Vector Int
radixSortInt = unsafeCoerce . radixSort64 . unsafeCoerce

radixSortNonNegative :: (VU.Unbox a, Word64Encode a) => VU.Vector a -> VU.Vector a
radixSortNonNegative = VU.map decodeNonNegative64 . radixSort64 . VU.map encodeNonNegative64
{-# INLINE radixSortNonNegative #-}

radixSort32 :: VU.Vector Word32 -> VU.Vector Word32
radixSort32 vec = F.foldl' step vec [0, 16]
  where
    mask k x = fromIntegral $ x .>>. k .&. 0xffff
    step v k = VU.create $ do
      pref <- VU.unsafeThaw
            . VU.prescanl' (+) 0
            . VU.unsafeAccumulate (+) (VU.replicate 0x10000 0)
            $ VU.map ((, 1) . mask k) v
      res <- VUM.unsafeNew $ VU.length v
      VU.forM_ v $ \x -> do
        let !masked = mask k x
        i <- VUM.unsafeRead pref masked
        VUM.unsafeWrite pref masked $ i + 1
        VUM.unsafeWrite res i x
      return res
{-# INLINE radixSort32 #-}

compress :: VU.Vector Int -> VU.Vector Int
compress vec = VU.create $ do
  mvec <- VUM.unsafeNew (VU.length vec)
  VU.mapM_ (\(i, x) -> VUM.unsafeWrite mvec (x .&. 0xffffffff) i) . VU.postscanl' (\(!i, !x) y ->
        if x .>>. 32 == y .>>. 32
          then (i, y)
          else (i + 1, y)
      ) (-1, -1)
    . radixSortInt
    $ VU.imap (\i x -> x .<<. 32 .|. i) vec
  return mvec
{-# INLINE compress #-}

infixl 8 .<<., .>>.

(.<<.) :: Bits b => b -> Int -> b
(.<<.) = unsafeShiftL
{-# INLINE (.<<.) #-}

(.>>.) :: Bits b => b -> Int -> b
(.>>.) = unsafeShiftR
{-# INLINE (.>>.) #-}

class Word64Encode a where
  encode64 :: a -> Word64
  decode64 :: Word64 -> a
  encodeNonNegative64 :: a -> Word64
  encodeNonNegative64 = encode64
  decodeNonNegative64 :: Word64 -> a
  decodeNonNegative64 = decode64

instance Word64Encode Int where
  encode64 x = unsafeCoerce $ x + 0x3fffffffffffffff
  decode64 x = unsafeCoerce x - 0x3fffffffffffffff
  encodeNonNegative64 = unsafeCoerce
  decodeNonNegative64 = unsafeCoerce

instance Word64Encode (Int, Int) where
  encode64 (x, y) = unsafeCoerce
    $ (x + 0x3fffffff) .<<. 31 .|. (y + 0x3fffffff)
  decode64 xy = unsafeCoerce (x, y)
    where
      !x = xy .>>. 31 - 0x3fffffff
      !y = (xy .&. 0x7fffffff) - 0x3fffffff
  encodeNonNegative64 (x, y) = unsafeCoerce $ x .<<. 31 .|. y
  decodeNonNegative64 xy     = unsafeCoerce (x, y)
    where
      !x = xy .>>. 31
      !y = xy .&. 0x7fffffff

instance Word64Encode (Int, Int, Int) where
  encode64 (x, y, z) = unsafeCoerce $ ((x + 0xfffff) .<<. 21 .|. (y + 0xfffff)) .<<. 21 .|. (z + 0xfffff)
  decode64 xyz = unsafeCoerce (x, y, z)
    where
      !x = xyz .>>. 42 - 0xfffff
      !y = (xyz .>>. 21 .&. 0x1fffff) - 0xfffff
      !z = xyz .&. 0x1fffff - 0xfffff
  encodeNonNegative64 (x, y, z) = unsafeCoerce $ (x .<<. 21 .|. y) .<<. 21 .|. z
  decodeNonNegative64 xyz = unsafeCoerce (x, y, z)
    where
      !x = xyz .>>. 42
      !y = xyz .>>. 21 .&. 0x1fffff
      !z = xyz .&. 0x1fffff

stream :: Monad m => Int -> Int -> VFSM.Stream m Int
stream !l !r = VFSM.Stream step l
  where
    step x
      | x < r     = return $ VFSM.Yield x (x + 1)
      | otherwise = return $ VFSM.Done
    {-# INLINE [0] step #-}
{-# INLINE [1] stream #-}

rep :: Monad m => Int -> (Int -> m ()) -> m ()
rep n = flip VFSM.mapM_ (stream 0 n)
{-# INLINE rep #-}

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 #-}
int1 :: CParser Int
int1 = fmap (subtract 1) int
{-# INLINE int1 #-}
char :: CParser Char
char = coerce BSC8.uncons
{-# INLINE char #-}
byte :: CParser Word8
byte = coerce BS.uncons
{-# INLINE byte #-}
skipSpaces :: CParser ()
skipSpaces = modify' (BSC8.dropWhile isSpace)
{-# INLINE skipSpaces #-}
seqInput :: Int -> IO (VU.Vector Int)
seqInput n = VU.unfoldrN n (runCParser int) <$> BSC8.getLine
{-# INLINE seqInput #-}
parseN1 :: Int -> IO (VU.Vector Int)
parseN1 n = VU.unfoldrN n (runCParser int) <$> BSC8.getContents
{-# INLINE parseN1 #-}
parseN2 :: Int -> IO (VU.Vector (Int, Int))
parseN2 n = VU.unfoldrN n (runCParser $ (,) <$> int <*> int) <$> BSC8.getContents
{-# INLINE parseN2 #-}
parseN3 :: Int -> IO (VU.Vector (Int, Int, Int))
parseN3 n = VU.unfoldrN n (runCParser $ (,,) <$> int <*> int <*> int) <$> BSC8.getContents
{-# INLINE parseN3 #-}
parseN4 :: Int -> IO (VU.Vector (Int, Int, Int, Int))
parseN4 n = VU.unfoldrN n (runCParser $ (,,,) <$> int <*> int <*> int <*> int) <$> BSC8.getContents
{-# INLINE parseN4 #-}
parseN5 :: Int -> IO (VU.Vector (Int, Int, Int, Int, Int))
parseN5 n = VU.unfoldrN n (runCParser $ (,,,,) <$> int <*> int <*> int <*> int <*> int) <$> BSC8.getContents
{-# INLINE parseN5 #-}
parseANBN :: Int -> IO (VU.Vector Int, VU.Vector Int)
parseANBN n = VU.unzip . VU.unfoldrN n (runCParser $ (,) <$> int <*> int) <$> BSC8.getContents
{-# INLINE parseANBN #-}
parseANBNCN :: Int -> IO (VU.Vector Int, VU.Vector Int, VU.Vector Int)
parseANBNCN n = VU.unzip3 . VU.unfoldrN n (runCParser $ (,,) <$> int <*> int <*> int) <$> BSC8.getContents
{-# INLINE parseANBNCN #-}

type Query3 = (Int, Int, Int)
query3Parser :: CParser Query3
query3Parser = do
  skipSpaces
  t <- char
  case t of
    '0' -> (,,) 0 <$> int <*> int
    _   -> (,,) 1 <$> int <*> pure 0
parseQ3 :: Int -> IO (VU.Vector Query3)
parseQ3 n = VU.unfoldrN n (runCParser query3Parser) <$> BSC8.getContents
{-# INLINE parseQ3 #-}

type Query5 = (Int, Int, Int, Int, Int)
query5Parser :: CParser Query5
query5Parser = do
  skipSpaces
  t <- char
  case t of
    '0' -> (,,,,) 0 <$> int <*> int <*> int    <*> int
    _   -> (,,,,) 1 <$> int <*> int <*> pure 0 <*> pure 0
parseQ5 :: Int -> IO (VU.Vector Query5)
parseQ5 n = VU.unfoldrN n (runCParser query5Parser) <$> BSC8.getContents
{-# INLINE parseQ5 #-}

readInt :: BSC8.ByteString -> Int
readInt = fst . fromJust . BSC8.readInt
{-# INLINE readInt #-}
getInt :: IO Int
getInt = readInt <$> BSC8.getLine
{-# INLINE getInt #-}
readIntList :: BSC8.ByteString -> [Int]
readIntList = map readInt . BSC8.words
{-# INLINE readIntList #-}
getIntList :: IO [Int]
getIntList = readIntList <$> BSC8.getLine
{-# INLINE getIntList #-}
readInteger :: BSC8.ByteString -> Integer
readInteger = fst . fromJust . BSC8.readInteger
{-# INLINE readInteger #-}
getInteger :: IO Integer
getInteger = readInteger <$> BSC8.getLine
{-# INLINE getInteger #-}
readIntegerList :: BSC8.ByteString -> [Integer]
readIntegerList = map readInteger . BSC8.words
{-# INLINE readIntegerList #-}
getIntegerList :: IO [Integer]
getIntegerList = readIntegerList <$> BSC8.getLine
{-# INLINE getIntegerList #-}

class ShowAsBuilder a where
  showAsBuilder :: a -> BSB.Builder
  default showAsBuilder :: (Show a) => a -> BSB.Builder
  showAsBuilder = BSB.string8 . show

instance ShowAsBuilder Int where
  showAsBuilder = BSB.intDec
  {-# INLINE showAsBuilder #-}
instance ShowAsBuilder Int8 where
  showAsBuilder = BSB.int8Dec
  {-# INLINE showAsBuilder #-}
instance ShowAsBuilder Int16 where
  showAsBuilder = BSB.int16Dec
  {-# INLINE showAsBuilder #-}
instance ShowAsBuilder Int32 where
  showAsBuilder = BSB.int32Dec
  {-# INLINE showAsBuilder #-}
instance ShowAsBuilder Int64 where
  showAsBuilder = BSB.int64Dec
  {-# INLINE showAsBuilder #-}
instance ShowAsBuilder Word8 where
  showAsBuilder = BSB.word8Dec
  {-# INLINE showAsBuilder #-}
instance ShowAsBuilder Word16 where
  showAsBuilder = BSB.word16Dec
  {-# INLINE showAsBuilder #-}
instance ShowAsBuilder Word32 where
  showAsBuilder = BSB.word32Dec
  {-# INLINE showAsBuilder #-}
instance ShowAsBuilder Word64 where
  showAsBuilder = BSB.word64Dec
  {-# INLINE showAsBuilder #-}
instance ShowAsBuilder Integer where
  showAsBuilder = BSB.integerDec
  {-# INLINE showAsBuilder #-}
instance ShowAsBuilder Float where
  showAsBuilder = BSB.floatDec
  {-# INLINE showAsBuilder #-}
instance ShowAsBuilder Double where
  showAsBuilder = BSB.doubleDec
  {-# INLINE showAsBuilder #-}

instance (ShowAsBuilder a, VG.Vector v a) => ShowAsBuilder (v a) where
  showAsBuilder = v2BSpcSep

putBuilder :: BSB.Builder -> IO ()
putBuilder = BSB.hPutBuilder stdout
{-# INLINE putBuilder #-}

printVecInLines :: (VG.Vector v a, ShowAsBuilder a) => v a -> IO ()
printVecInLines = putBuilder . v2BLines
{-# INLINE printVecInLines #-}

printVecInSpcSepLn :: (VG.Vector v a, ShowAsBuilder a) => v a -> IO ()
printVecInSpcSepLn = putBuilder . v2BSpcSepLn
{-# INLINE printVecInSpcSepLn #-}

v2BSpcSepLn :: (VG.Vector v a, ShowAsBuilder a) => v a -> BSB.Builder
v2BSpcSepLn = v2BSpcSepLnWith showAsBuilder
{-# INLINE v2BSpcSepLn #-}

v2BSpcSep :: (VG.Vector v a, ShowAsBuilder a) => v a -> BSB.Builder
v2BSpcSep = v2BSpcSepWith showAsBuilder
{-# INLINE v2BSpcSep #-}

v2BConcat:: (VG.Vector v a, ShowAsBuilder a) => v a -> BSB.Builder
v2BConcat = v2BConcatWith showAsBuilder
{-# INLINE v2BConcat #-}

v2BLines:: (VG.Vector v a, ShowAsBuilder a) => v a -> BSB.Builder
v2BLines = v2BLinesWith showAsBuilder
{-# INLINE v2BLines #-}

v2BSpcSepLnWith :: VG.Vector v a => (a -> BSB.Builder) -> v a -> BSB.Builder
v2BSpcSepLnWith = v2BSpcSepPostfWith "\n"
{-# INLINE v2BSpcSepLnWith #-}

v2BSpcSepWith :: VG.Vector v a => (a -> BSB.Builder) -> v a -> BSB.Builder
v2BSpcSepWith = v2BSpcSepPostfWith ""
{-# INLINE v2BSpcSepWith #-}

v2BConcatWith :: VG.Vector v a => (a -> BSB.Builder) -> v a -> BSB.Builder
v2BConcatWith showFct = VG.foldr ((<>) . showFct) mempty
{-# INLINE v2BConcatWith #-}

v2BLinesWith :: VG.Vector v a => (a -> BSB.Builder) -> v a -> BSB.Builder
v2BLinesWith showFct = VG.foldr (\a -> (showFct a <>) . (BSB.char7 '\n' <>)) mempty
{-# INLINE v2BLinesWith #-}

v2BSpcSepPostf :: (VG.Vector v a, ShowAsBuilder a) => BS.ByteString -> v a -> BSB.Builder
v2BSpcSepPostf = (`v2BSpcSepPostfWith` showAsBuilder)
{-# INLINE v2BSpcSepPostf #-}

v2BSpcSepPostfWith :: VG.Vector v a => BS.ByteString -> (a -> BSB.Builder) -> v a -> BSB.Builder
v2BSpcSepPostfWith = vecToBuilder "" " "
{-# INLINE v2BSpcSepPostfWith #-}

vecToBuilder :: VG.Vector v a => BS.ByteString -> BS.ByteString -> BS.ByteString -> (a -> BSB.Builder) -> v a -> BSB.Builder
vecToBuilder !prefix !separator !postfix = vecToBuilder_ (BSB.byteString prefix) (BSB.byteString separator) (BSB.byteString postfix)
{-# INLINE vecToBuilder #-}

vecToBuilder_ :: VG.Vector v a => BSB.Builder -> BSB.Builder -> BSB.Builder -> (a -> BSB.Builder) -> v a -> BSB.Builder
vecToBuilder_ !prefix !separator !postfix showFct vec = prefix <> VG.foldr (\a rest !prefx -> prefx <> (showFct a <> rest separator)) (const postfix) vec mempty
{-# INLINE vecToBuilder_ #-}