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 | 2020-11-24 21:10:32 |
| 言語 | Haskell (9.8.2) |
| 結果 |
CE
(最新)
AC
(最初)
|
| 実行時間 | - |
| コード長 | 16,023 bytes |
| コンパイル時間 | 261 ms |
| コンパイル使用メモリ | 166,784 KB |
| 最終ジャッジ日時 | 2024-11-14 23:55:03 |
| 合計ジャッジ時間 | 626 ms |
|
ジャッジサーバーID （参考情報） |
judge3 / judge2 |
（要ログイン）
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:32:1: error: [GHC-87110]
Could not load module ‘Data.IntMap.Strict’.
It is a member of the hidden package ‘containers-0.6.8’.
Use -v to see a list of the files searched for.
|
32 | import Data.IntMap.Strict (IntMap)
| ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Main.hs:33:1: error: [GHC-87110]
Could not load module ‘Data.IntMap.Strict’.
It is a member of the hidden package ‘containers-0.6.8’.
Use -v to see a list of the files searched for.
|
33 | import qualified Data.IntMap.Strict as IntMap
| ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Main.hs:34:1: error: [GHC-87110]
Could not load module ‘Data.IntSet’.
It is a member of the hidden package ‘containers-0.6.8’.
Use -v to see a list of the files searched for.
|
34 | import Data.IntSet (IntSet)
| ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Main.hs:35:1: error: [GHC-87110]
Could not load module ‘Data.IntSet’.
It is a member of the hidden package ‘containers-0.6.8’.
Use -v to see a list of the files searched for.
|
35 | import qualified Data.IntSet as IntSet
| ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Main.hs:36:1: error: [GHC-87110]
Could not load module ‘Data.Map’.
It is a member of the hidden package ‘containers-0.6.8’.
Use -v to see a list of the files searched for.
|
36 | import Data.Map (Map)
| ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Main.hs:37:1: error: [GHC-87110]
Could not load module ‘Data.Map’.
It is a member of the hidden package ‘containers-0.6.8’.
Use -v to see a list of the files searched for
ソースコード
{-# LANGUAGE BangPatterns #-}
{-# LANGUAGE BinaryLiterals #-}
{-# LANGUAGE DefaultSignatures #-}
{-# LANGUAGE FlexibleInstances #-}
{-# LANGUAGE MagicHash #-}
{-# LANGUAGE OverloadedLists #-}
{-# LANGUAGE OverloadedStrings #-}
{-# LANGUAGE TypeApplications #-}
{-# LANGUAGE UndecidableInstances #-}
import Control.Arrow
import Control.Monad
import Control.Monad.Cont
import Control.Monad.Fix
import Control.Monad.ST
import Control.Monad.State
import Data.Bits
import Data.Bool
import Data.Char
import Data.Coerce
import qualified Data.Foldable as F
import Data.IORef
import Data.Int
import qualified Data.List as L
import Data.Maybe
import Data.STRef
import Data.Word
import GHC.Exts
import System.CPUTime
import System.IO
import Unsafe.Coerce
import Data.IntMap.Strict (IntMap)
import qualified Data.IntMap.Strict as IntMap
import Data.IntSet (IntSet)
import qualified Data.IntSet as IntSet
import Data.Map (Map)
import qualified Data.Map as Map
import Data.Set (Set)
import qualified Data.Set as Set
import qualified GHC.Integer.GMP.Internals as GMP
import qualified GHC.Integer.Logarithms.Internals as LOG
import qualified Data.ByteString as BS
import qualified Data.ByteString.Builder as BSB
import qualified Data.ByteString.Char8 as BSC8
import qualified Data.ByteString.Lazy as BSL
import qualified Data.ByteString.Lazy.Char8 as BSLC8
import qualified Data.ByteString.Short as BSS
import qualified Data.ByteString.Unsafe as BSU
import qualified Data.Vector as V
import qualified Data.Vector.Fusion.Stream.Monadic as VFSM
import qualified Data.Vector.Generic as VG
import qualified Data.Vector.Generic.Mutable as VGM
import qualified Data.Vector.Mutable as VM
import qualified Data.Vector.Unboxed as VU
import qualified Data.Vector.Unboxed.Mutable as VUM
main :: IO ()
main = do
n <- readLn :: IO Int
xs <- parseN1 n
rep n $ \i -> do
let x = xs VU.! i
putBuilder $ BSB.intDec x <> bool " 0\n" " 1\n" (millerRabin x)
millerRabin :: Int -> Bool
millerRabin k
| k <= 3 = k == 2 || k == 3
| k .&. 1 == 0 = False
| otherwise = _millerRabin k
where
_millerRabin :: Int -> Bool
_millerRabin n
| n < 2047 = loop [2]
| n < 1373653 = loop [2,3]
| n < 9080191 = loop [31,73]
| n < 25326001 = loop [2,3,5]
| n < 4759123141 = loop [2,7,61]
| n < 1122004669633 = loop [2,13,23,1662803]
| n < 2152302898747 = loop [2,3,5,7,11]
| n < 3474749660383 = loop [2,3,5,7,11,13]
| n < 341550071728321 = loop [2,3,5,7,11,13,17]
| otherwise = loop [2,325,9375,28178,450775,9780504,1795265022]
where
!m = n - 1
!s = ctz m
!d = m .>>. s
loop :: VU.Vector Int -> Bool
loop vec = runST $ do
ret <- newSTRef True
withBreakST $ \break1 -> do
VU.forM_ vec $ \a -> do
let
check1 = powModInt a d n /= 1
check2 = check3 a
when (check1 && check2) $ do
lift $ writeSTRef ret False
break1 ()
readSTRef ret
where
check3 :: Int -> Bool
check3 aa = runST $ do
retRef <- newSTRef True
withBreakST $ \break2 -> rep s $ \r -> when (powModInt aa ((1 .<<. r) * d) n == m) $ do
lift $ writeSTRef retRef False
break2 ()
readSTRef retRef
powModInt :: Int -> Int -> Int -> Int
powModInt a n mo = fI $ GMP.powModInteger (fi a) (fi n) (fi mo)
{-# INLINE powModInt #-}
recipModInt :: Int -> Int -> Int
recipModInt a mo = fI $ GMP.recipModInteger (fi a) (fi mo)
{-# INLINE recipModInt #-}
fi :: Int -> Integer
fi = fromIntegral
{-# INLINE fi #-}
fI :: Integer -> Int
fI = fromInteger
{-# INLINE fI #-}
clz :: FiniteBits fb => fb -> Int
clz = countLeadingZeros
{-# INLINE clz #-}
ctz :: FiniteBits fb => fb -> Int
ctz = countTrailingZeros
{-# INLINE ctz #-}
encode32x2 :: Int -> Int -> Int
encode32x2 x y = x .<<. 32 .|. y
{-# INLINE encode32x2 #-}
decode32x2 :: Int -> (Int, Int)
decode32x2 xy =
let !x = xy .>>>. 32
!y = xy .&. 0xffffffff
in (x, y)
{-# INLINE decode32x2 #-}
ceilPow2 :: Int -> Int
ceilPow2 n
| n > 1 = (-1) .>>>. clz (n - 1) + 1
| otherwise = 1
{-# INLINE ceilPow2 #-}
floorPow2 :: Int -> Int
floorPow2 n
| n >= 1 = 1 .<<. (63 - clz n)
| otherwise = 0
{-# INLINE floorPow2 #-}
bitReverse :: Int -> Int
bitReverse
= unsafeCoerce
. step 32 0xffffffff00000000 0x00000000ffffffff
. step 16 0xffff0000ffff0000 0x0000ffff0000ffff
. step 08 0xff00ff00ff00ff00 0x00ff00ff00ff00ff
. step 04 0xf0f0f0f0f0f0f0f0 0x0f0f0f0f0f0f0f0f
. step 02 0xcccccccccccccccc 0x3333333333333333
. step 01 0xaaaaaaaaaaaaaaaa 0x5555555555555555
. unsafeCoerce
where
step :: Int -> Word64 -> Word64 -> Word64 -> Word64
step i ml mr = \ !x -> (x .&. ml) .>>. i .|. (x .&. mr) .<<. i
{-# INLINE step #-}
infixl 8 .<<., .>>., .>>>.
infixl 6 .^.
(.<<.) :: Bits b => b -> Int -> b
(.<<.) = unsafeShiftL
{-# INLINE (.<<.) #-}
(.>>.) :: Bits b => b -> Int -> b
(.>>.) = unsafeShiftR
{-# INLINE (.>>.) #-}
(.>>>.) :: Int -> Int -> Int
(.>>>.) (I# x#) (I# i#) = I# (uncheckedIShiftRL# x# i#)
{-# INLINE (.>>>.) #-}
(.^.) :: Bits b => b -> b -> b
(.^.) = xor
{-# INLINE (.^.) #-}
rep :: Monad m => Int -> (Int -> m ()) -> m ()
rep n = flip VFSM.mapM_ (streamG 0 (n - 1) const 0 (+) 1)
{-# INLINE rep #-}
rep' :: Monad m => Int -> (Int -> m ()) -> m ()
rep' n = flip VFSM.mapM_ (streamG 0 n const 0 (+) 1)
{-# INLINE rep' #-}
rep1 :: Monad m => Int -> (Int -> m ()) -> m ()
rep1 n = flip VFSM.mapM_ (streamG 1 (n - 1) const 0 (+) 1)
{-# INLINE rep1 #-}
rep1' :: Monad m => Int -> (Int -> m ()) -> m ()
rep1' n = flip VFSM.mapM_ (streamG 1 n const 0 (+) 1)
{-# INLINE rep1' #-}
rev :: Monad m => Int -> (Int -> m ()) -> m ()
rev n = flip VFSM.mapM_ (streamRG (n - 1) 0 const 0 (-) 1)
{-# INLINE rev #-}
rev' :: Monad m => Int -> (Int -> m ()) -> m ()
rev' n = flip VFSM.mapM_ (streamRG n 0 const 0 (-) 1)
{-# INLINE rev' #-}
rev1 :: Monad m => Int -> (Int -> m ()) -> m ()
rev1 n = flip VFSM.mapM_ (streamRG (n - 1) 1 const 0 (-) 1)
{-# INLINE rev1 #-}
rev1' :: Monad m => Int -> (Int -> m ()) -> m ()
rev1' n = flip VFSM.mapM_ (streamRG n 1 const 0 (-) 1)
{-# INLINE rev1' #-}
range :: Monad m => Int -> Int -> (Int -> m ()) -> m ()
range l r = flip VFSM.mapM_ (streamG l r const 0 (+) 1)
{-# INLINE range #-}
rangeR :: Monad m => Int -> Int -> (Int -> m ()) -> m ()
rangeR r l = flip VFSM.mapM_ (streamRG r l const 0 (-) 1)
{-# INLINE rangeR #-}
forP :: Monad m => Int -> (Int -> m ()) -> m ()
forP p = flip VFSM.mapM_ (streamG 2 p (^) 2 (+) 1)
{-# INLINE forP #-}
forG :: Monad m => Int -> Int -> (Int -> Int -> Int) -> Int -> (Int -> Int -> Int) -> Int -> (Int -> m ()) -> m ()
forG l r f p g d = flip VFSM.mapM_ (streamG l r f p g d)
{-# INLINE forG #-}
forRG :: Monad m => Int -> Int -> (Int -> Int -> Int) -> Int -> (Int -> Int -> Int) -> Int -> (Int -> m ()) -> m ()
forRG r l f p g d = flip VFSM.mapM_ (streamRG r l f p g d)
{-# INLINE forRG #-}
streamG :: Monad m => Int -> Int -> (Int -> Int -> Int) -> Int -> (Int -> Int -> Int) -> Int -> VFSM.Stream m Int
streamG !l !r !f !p !g !d = VFSM.Stream step l
where
step x
| f x p <= r = return $ VFSM.Yield x (g x d)
| otherwise = return VFSM.Done
{-# INLINE [0] step #-}
{-# INLINE [1] streamG #-}
streamRG :: Monad m => Int -> Int -> (Int -> Int -> Int) -> Int -> (Int -> Int -> Int) -> Int -> VFSM.Stream m Int
streamRG !r !l !f !p !g !d = VFSM.Stream step r
where
step x
| f x p >= l = return $ VFSM.Yield x (g x d)
| otherwise = return VFSM.Done
{-# INLINE [0] step #-}
{-# INLINE [1] streamRG #-}
withBreakIO :: ((r -> ContT r IO b) -> ContT r IO r) -> IO r
withBreakIO = flip runContT pure . callCC
{-# INLINE withBreakIO #-}
withBreakST :: ((r -> ContT r (ST s) b) -> ContT r (ST s) r) -> (ST s) r
withBreakST = flip runContT pure . callCC
{-# INLINE withBreakST #-}
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_ #-}