結果

問題 No.3030 ミラー・ラビン素数判定法のテスト
ユーザー かりあげクンかりあげクン
提出日時 2020-08-27 00:46:42
言語 Haskell
(9.8.2)
結果
WA  
実行時間 -
コード長 3,293 bytes
コンパイル時間 2,337 ms
コンパイル使用メモリ 199,936 KB
実行使用メモリ 8,192 KB
最終ジャッジ日時 2024-11-18 18:17:21
合計ジャッジ時間 5,468 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge1
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 1 ms
6,816 KB
testcase_01 WA -
testcase_02 WA -
testcase_03 WA -
testcase_04 WA -
testcase_05 WA -
testcase_06 WA -
testcase_07 WA -
testcase_08 WA -
testcase_09 WA -
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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 )
[2 of 2] Linking a.out

ソースコード

diff # 

{-# OPTIONS_GHC -O2 #-}
{-# LANGUAGE BangPatterns #-}
{-# LANGUAGE Rank2Types #-}
{-# LANGUAGE TupleSections #-}
{-# LANGUAGE MagicHash #-}

import qualified Control.Arrow               as Arrow
import qualified Control.Monad               as Monad
import qualified Data.Bool                   as Bool
import qualified Data.Bits                   as Bits
import qualified Data.ByteString.Char8       as BSC8
import qualified Data.Foldable               as Foldable
import qualified Data.List                   as List
import qualified Data.Vector                 as V
import qualified Data.Vector.Unboxed         as VU
import qualified Data.Vector.Unboxed.Mutable as VUM
import qualified Data.Word                   as Word
import           Unsafe.Coerce
-----------
-- input --
-----------
type Parser a = BSC8.ByteString -> Maybe (a, BSC8.ByteString)
parseInt :: Parser Int
parseInt = fmap (Arrow.second BSC8.tail) . BSC8.readInt
parseChar :: [Char] -> VU.Vector Char
parseChar = VU.fromList
parse1 :: IO Int
parse1 = readLn
parse2 :: IO (Int, Int)
parse2 =  (\vec -> (vec VU.! 0, vec VU.! 1)) . VU.unfoldrN 2 parseInt <$> BSC8.getLine
parse3 :: IO (Int, Int, Int)
parse3 =  (\vec -> (vec VU.! 0, vec VU.! 1, vec VU.! 2)) . VU.unfoldrN 3 parseInt <$> BSC8.getLine
parseM :: Int -> IO (VU.Vector Int)
parseM m = VU.unfoldrN m parseInt <$> BSC8.getLine
parseN :: Int -> IO (VU.Vector Int)
parseN n = VU.replicateM n parse1
parseNM :: Int -> Int -> IO (V.Vector (VU.Vector Int))
parseNM n m = V.replicateM n $ VU.unfoldrN m parseInt <$> BSC8.getLine

main :: IO ()
main = do
  n <- parse1
  xs <- parseN n
  Monad.forM_ [0..n-1] $ \i -> do
    putStrLn $ show (xs VU.! i) ++ " " ++ Bool.bool "0" "1" (millerRabin $ xs VU.! i) 

checkers1 :: [Int]
checkers1 = [2, 7, 61]
checkers2 :: [Int]
checkers2 = [2, 3, 5, 7, 11, 13, 17]
checkers3 :: [Int]
checkers3 = [2, 325, 9375, 28178, 450775, 9780504, 1795265022]
millerRabin :: Int -> Bool
millerRabin n
  |  n <= 1 = False
  |  n == 2
  || n == 3
  || n == 5
  || n == 7 = True
  |  even n = False
  |  otherwise = mrCheck n
powMod :: Int -> Int -> Int -> Int
powMod x n modulus
  | x > modulus = powMod (x `mod` modulus) n modulus
  | n == 0 = 1
  | n == 1 = x `mod` modulus
  | x == 0 = 0
  | x == 1 = 1
  | even n    = z * z `mod` modulus
  | otherwise = z * z * (x `mod` modulus) `mod` modulus
  where z = powMod x (n `div` 2) modulus
div2beki :: Int -> Int
div2beki m
  | odd m = m
  | otherwise = div2beki (m `div` 2)
div2count :: Int -> Int
div2count m
  | odd m = 0
  | otherwise = 1 + div2count (m `div` 2)
mrCheck :: Int -> Bool
mrCheck p
  | p < 4759123141      = xBool   && yBool
  | p < 341550071728321 = xBool'  && yBool'
  | otherwise           = xBool'' && yBool''
  where
    m = p - 1
    d = div2beki m
    s = div2count m
    xs = [0..s-1]
    xBool   = all id $ map (\a -> powMod a d p /= 1) checkers1
    xBool'  = all id $ map (\a -> powMod a d p /= 1) checkers2
    xBool'' = all id $ map (\a -> powMod a d p /= 1) checkers3
    yBool   = f True xs checkers1
    yBool'  = f True xs checkers2
    yBool'' = f True xs checkers3
    f :: Bool -> [Int] -> [Int] -> Bool
    f b _ [] = b
    f b [] _ = b
    f b (x:xs) ys = let c = all id  [powMod y ((2 ^ x) * d) p /= (p - 1)| y <- ys]
                    in f (b && c) xs ys
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