{-# LANGUAGE BangPatterns         #-}
{-# LANGUAGE DefaultSignatures    #-}
{-# LANGUAGE FlexibleInstances    #-}
{-# LANGUAGE OverloadedStrings    #-}
{-# LANGUAGE UndecidableInstances #-}
import           Control.Monad
import           Control.Monad.ST
import           Control.Monad.State
import           Data.Bits
import           Data.Bool
import           Data.Char
import           Data.Coerce
import           Data.Int
import           Data.STRef.Strict
import           Data.Word
import           System.IO
import qualified Data.ByteString                   as BS
import qualified Data.ByteString.Builder           as BSB
import qualified Data.ByteString.Char8             as BSC8
import qualified GHC.Integer.GMP.Internals         as GMP
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
  vec <- VU.unfoldrN n (runParser int) <$> BSC8.getContents
  putBuilder $ v2BLinesWith (\b -> BSB.byteString $ BSC8.pack $ show b ++ bool " 0" " 1" (millerRabin b)) vec

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 < 4759123141      = loop [2,7,61]
      | otherwise           = loop [2,325,9375,28178,450775,9780504,1795265022]
      where
        !m = n - 1
        !s = countTrailingZeros m
        !d = m `unsafeShiftR`s
        loop :: [Int] -> Bool
        loop pro = runST $ do
          ret <- newSTRef True
          forM_ pro $ \a -> do
            c <- readSTRef ret
            when (c && a < n) $ do
              let
                check1 = powModInt a d n /= 1
                check2 = all (\r -> powModInt a ((1 `unsafeShiftL` r) * d) n /= m) ([0 .. (s - 1)] :: [Int])
              when (check1 && check2) $ writeSTRef ret False
          readSTRef ret

powModInt :: Int -> Int -> Int -> Int
powModInt a n mo = fromInteger $ GMP.powModInteger (fromIntegral a) (fromIntegral n) (fromIntegral mo)
{-# INLINE powModInt #-}

type Parser a = StateT BSC8.ByteString Maybe a
runParser :: Parser a -> BSC8.ByteString -> Maybe (a, BSC8.ByteString)
runParser = runStateT
{-# INLINE runParser #-}
int :: Parser Int
int = coerce $ BSC8.readInt . BSC8.dropWhile isSpace
{-# INLINE int #-}

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_ #-}