結果
問題 | No.8030 ミラー・ラビン素数判定法のテスト |
ユーザー | こまる |
提出日時 | 2020-11-11 01:23:41 |
言語 | Haskell (9.8.2) |
結果 |
CE
(最新)
AC
(最初)
|
実行時間 | - |
コード長 | 11,935 bytes |
コンパイル時間 | 200 ms |
コンパイル使用メモリ | 155,908 KB |
最終ジャッジ日時 | 2024-11-14 23:54:14 |
合計ジャッジ時間 | 538 ms |
ジャッジサーバーID (参考情報) |
judge2 / judge4 |
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コンパイルエラー時のメッセージ・ソースコードは、提出者また管理者しか表示できないようにしております。(リジャッジ後のコンパイルエラーは公開されます)
ただし、clay言語の場合は開発者のデバッグのため、公開されます。
ただし、clay言語の場合は開発者のデバッグのため、公開されます。
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:22:1: error: [GHC-87110] Could not load module ‘Data.Time.Clock.POSIX’. It is a member of the hidden package ‘time-1.12.2’. Use -v to see a list of the files searched for. | 22 | import Data.Time.Clock.POSIX | ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ Main.hs:29:1: error: [GHC-87110] Could not load module ‘GHC.Integer.GMP.Internals’. It is a member of the hidden package ‘integer-gmp-1.1’. Use -v to see a list of the files searched for. | 29 | import qualified GHC.Integer.GMP.Internals as GMP | ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
ソースコード
{-# LANGUAGE BangPatterns #-} {-# LANGUAGE DefaultSignatures #-} {-# LANGUAGE ExistentialQuantification #-} {-# LANGUAGE FlexibleInstances #-} {-# LANGUAGE MagicHash #-} {-# LANGUAGE MonomorphismRestriction #-} {-# LANGUAGE OverloadedStrings #-} {-# LANGUAGE TypeApplications #-} {-# LANGUAGE UndecidableInstances #-} import Control.Monad.Fix import Control.Monad.State import Data.Bits import Data.Bool import qualified Data.ByteString as BS import qualified Data.ByteString.Builder as BSB import qualified Data.ByteString.Char8 as BSC8 import Data.Char import Data.Coerce import Data.Int import Data.Maybe import Data.Time.Clock.POSIX 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 import Data.Word import GHC.Exts import qualified GHC.Integer.GMP.Internals as GMP import System.IO import Unsafe.Coerce main :: IO () main = do n <- readLn :: IO Int xs <- parseN1 n rep n $ \i -> do let x = xs VU.! i mr <- millerRabin x putBuilder $ BSB.intDec x <> (bool " 0\n" " 1\n" mr) millerRabin :: Int -> IO Bool millerRabin n | n <= 3 = return $ n == 2 || n == 3 | even n = return False | otherwise = do flip fix 4 $ \loop !i -> do rng <- newRNG a <- randomR rng 1 (n - 1) let allok = all (\r -> (powModInt a ((1 .<<. r) * d) n) /= m) [0..(s - 1)] if (powModInt a d n /= 1) && allok then return False else if i < 0 then return True else loop (i - 1) where !m = n - 1 !s = countTrailingZeros m !d = m .>>. s type RNG = VUM.IOVector Word64 getSeed :: IO Word64 getSeed = do t <- getPOSIXTime let ret = floor $ t * 1e9 :: Word64 if ret == 0 then getSeed else return ret newRNG :: IO RNG newRNG = do x <- getSeed VUM.replicate 1 (8172645463325252 - x) {-# NOINLINE newRNG #-} nextWord64 :: RNG -> IO Word64 nextWord64 rng = do x <- VUM.unsafeRead rng 0 let y = x .<<. 7 .^. x z = y .>>. 9 .^. y VUM.unsafeWrite rng 0 z return z nextInt :: RNG -> IO Int nextInt rng = unsafeCoerce <$> nextWord64 rng nextDouble :: RNG -> IO Double nextDouble rng = do t <- nextWord64 rng let x = 0x3ff .<<. 52 .|. t .>>. 12 return $! unsafeCoerce @Word64 @Double x - 1.0 nextGauss :: RNG -> Double -> Double -> IO Double nextGauss rng mu sigma = do x <- nextDouble rng y <- nextDouble rng let z = sqrt (-2.0 * log x) * cos (2.0 * pi * y) return $! sigma * z + mu randomR :: RNG -> Int -> Int -> IO Int randomR rng l r = do x <- nextInt rng return $ x `mod` (r - l + 1) + l shuffleM :: VUM.Unbox a => RNG -> VUM.IOVector a -> IO () shuffleM rng mvec = do rev (VUM.length mvec) $ \i -> do j <- nextWord64 rng VUM.unsafeSwap mvec i (unsafeCoerce $ rem j (unsafeCoerce i + 1)) shuffle :: VU.Unbox a => RNG -> VU.Vector a -> IO (VU.Vector a) shuffle rng vec = do mv <- VU.unsafeThaw vec shuffleM rng mv VU.unsafeFreeze mv infixl 8 .<<., .>>., .>>>. infixl 6 .^. (.<<.) :: Bits b => b -> Int -> b (.<<.) = unsafeShiftL {-# INLINE (.<<.) #-} (.>>.) :: Bits b => b -> Int -> b (.>>.) = unsafeShiftR {-# INLINE (.>>.) #-} (.>>>.) :: Int -> Int -> Int (I# x#) .>>>. (I# y#) = I# (uncheckedIShiftRL# x# y#) {-# INLINE (.>>>.) #-} (.^.) :: Bits b => b -> b -> b (.^.) = xor {-# INLINE (.^.) #-} 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 #-} streamR :: Monad m => Int -> Int -> VFSM.Stream m Int streamR !l !r = VFSM.Stream step (r - 1) where step x | x >= l = return $ VFSM.Yield x (x - 1) | otherwise = return $ VFSM.Done {-# INLINE [0] step #-} {-# INLINE [1] streamR #-} rev :: Monad m => Int -> (Int -> m ()) -> m () rev n = flip VFSM.mapM_ (streamR 0 n) {-# INLINE rev #-} fi :: Int -> Integer fi = fromIntegral {-# INLINE fi #-} fI :: Integer -> Int fI = fromInteger {-# INLINE fI #-} powModInt :: Int -> Int -> Int -> Int powModInt a b m = fI $ GMP.powModInteger (fi a) (fi b) (fi m) 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 <$> BSC8.getLine {-# INLINE getInt #-} readIntList :: BSC8.ByteString -> [Int] readIntList = map readInt . BSC8.words {-# INLINE readIntList #-} getIntList :: IO [Int] getIntList = readIntList <$> BS.getLine {-# INLINE getIntList #-} readInteger :: BSC8.ByteString -> Integer readInteger = fst . fromJust . BSC8.readInteger {-# INLINE readInteger #-} getInteger :: IO Integer getInteger = readInteger <$> BSC8.getLine {-# INLINE getInteger #-} readIntegerList :: BSC8.ByteString -> [Integer] readIntegerList = map readInteger . BSC8.words {-# INLINE readIntegerList #-} getIntegerList :: IO [Integer] getIntegerList = readIntegerList <$> BS.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_ #-}