{-# LANGUAGE BangPatterns         #-}
{-# LANGUAGE BinaryLiterals       #-}
{-# LANGUAGE DefaultSignatures    #-}
{-# LANGUAGE FlexibleInstances    #-}
{-# LANGUAGE MagicHash            #-}
{-# 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
    mr <- millerRabin x
    putBuilder $ BSB.intDec x <> bool " 0\n" " 1\n" mr

millerRabin :: Int -> IO Bool
millerRabin k
  | k <= 3 = return $ k == 2 || k == 3
  | k .&. 1 == 0 = return False
  | otherwise = do
    mt19937 <- newMT19937
    flip fix 4 $ \loop !i -> do
      a   <- randomR mt19937 1 (k - 1)
      let allok = all (\r -> powModInt a ((1 .<<. r) * d) k /= m) [0 .. (s - 1)]
      if (powModInt a d k /= 1) && allok
        then return False
        else if i < 0
          then return True
          else loop (i - 1)
  where
    !m = k - 1
    !s = ctz m
    !d = m .>>. s

_pointer :: Int
_pointer = 312
{-# INLINE _pointer #-}

_lowerMask :: Word64
_lowerMask = 0b0000000000000000000000000000000001111111111111111111111111111111
{-# INLINE _lowerMask #-}

_upperMask :: Word64
_upperMask = 0b1111111111111111111111111111111110000000000000000000000000000000
{-# INLINE _upperMask #-}

type MT19937 = VUM.IOVector Word64

newMT19937 :: IO MT19937
newMT19937 = do
  mt <- VUM.unsafeNew 313 :: IO MT19937
  VUM.unsafeWrite mt _pointer 0
  t <- fromInteger <$> getCPUTime
  VUM.unsafeWrite mt 0 (t * 0x3F9E31A)
  range 1 311 $ \mti -> do
    item <- VUM.unsafeRead mt (mti - 1)
    let rnd = 6364136223846793005 * (item .^. (item .>>. 62)) + unsafeCoerce @Int @Word64 mti
    VUM.unsafeWrite mt mti rnd
  return mt

shiftAndXor :: Word64 -> Word64
shiftAndXor w0 =
  case w0 .^. ((w0 .>>. 29) .&. 0x5555555555555555) of
    w1 -> case w1 .^. ((w1 .<<. 17) .&. 0x71D67FFFEDA60000) of
      w2 -> case w2 .^. ((w2 .<<. 37) .&. 0xFFF7EEE000000000) of
        w3 -> w3 .^. (w3 .>>. 43)

twist :: MT19937 -> IO ()
twist mt = do
  rep 312 $ \i -> do
    item1 <- VUM.unsafeRead mt i
    item2 <- VUM.unsafeRead mt ((i + 1) `mod` 312)
    let
      x  = (item1 .&. _upperMask) + (item2 .&. _lowerMask)
      xA = x .>>. 1
      xa  = if odd x then xA .^. 0xB5026F5AA96619E9 else xA
    item3 <- VUM.unsafeRead mt ((i + 156) `mod` 312)
    VUM.unsafeWrite mt i (item3 .^. xa)
  VUM.unsafeWrite mt _pointer 0

nextWord64 :: MT19937 -> IO Word64
nextWord64 mt = do
  idx <- VUM.unsafeRead mt _pointer
  when (idx >= 312) $ twist mt
  y <- shiftAndXor <$> VUM.unsafeRead mt (fromIntegral idx)
  VUM.unsafeModify mt succ _pointer
  return y

nextInt :: MT19937 -> IO Int
nextInt mt = unsafeCoerce <$> nextWord64 mt

nextWord :: MT19937 -> IO Word
nextWord mt = unsafeCoerce <$> nextWord64 mt

nextDouble :: MT19937 -> IO Double
nextDouble mt19937 = do
  t <- nextWord64 mt19937
  let x = 0x3ff .<<. 52 .|. t .>>. 12
  return $! unsafeCoerce @Word64 @Double x - 1.0

nextGauss :: MT19937 -> Double -> Double -> IO Double
nextGauss mt19937 mu sigma = do
  x <- nextDouble mt19937
  y <- nextDouble mt19937
  let z = sqrt (-2.0 * log x) * cos (2.0 * pi * y)
  return $! sigma * z + mu

randomR :: MT19937 -> Int -> Int -> IO Int
randomR mt19937 l r = (+ l) . flip mod (r - l + 1) <$> nextInt mt19937

shuffleM :: VUM.Unbox a => MT19937 -> VUM.IOVector a -> IO ()
shuffleM mt19937 mvec = do
  rev (VUM.length mvec) $ \i -> do
    j <- nextWord64 mt19937
    VUM.unsafeSwap mvec i (unsafeCoerce $ rem j (unsafeCoerce i + 1))

shuffle :: VU.Unbox a => MT19937 -> VU.Vector a -> IO (VU.Vector a)
shuffle mt19937 vec = do
  mv <- VU.unsafeThaw vec
  shuffleM mt19937 mv
  VU.unsafeFreeze mv

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 #-}

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 (.^.)  #-}

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 #-}

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_ #-}