Problem:
Score : 100 points

Problem Statement

Snuke is giving cookies to his three goats.

He has two cookie tins. One contains A cookies, and the other contains B cookies. He can thus give A cookies, B cookies or A+B cookies to his goats (he cannot open the tins).

Your task is to determine whether Snuke can give cookies to his three goats so that each of them can have the same number of cookies.

Constraints

1 \leq A,B \leq 100

Both A and B are integers.

Input

Input is given from Standard Input in the following format:

A B

Output

If it is possible to give cookies so that each of the three goats can have the same number of cookies, print Possible; otherwise, print Impossible.

Sample Input 1

4 5

Sample Output 1

Possible

If Snuke gives nine cookies, each of the three goats can have three cookies.

Sample Input 2

1 1

Sample Output 2

Impossible

Since there are only two cookies, the three goats cannot have the same number of cookies no matter what Snuke gives to them.

Solution in Haskell (GHC 7.10.3) (judge verdict: Accepted)

{-# LANGUAGE FlexibleInstances    #-}
{-# LANGUAGE TypeSynonymInstances #-}

import           Control.Applicative
import           Control.DeepSeq
import           Control.Monad
import           Control.Monad.ST
import qualified Data.Array                  as A
import qualified Data.Array.IArray           as IA
import qualified Data.Array.IO               as AI
import qualified Data.Array.MArray           as MA
import qualified Data.Array.ST               as STA
import qualified Data.Array.Unboxed          as AU
import           Data.Bits
import qualified Data.ByteString.Char8       as BS
import           Data.Char
import qualified Data.Graph                  as G
import           Data.Int
import qualified Data.IntMap                 as IM
import qualified Data.IntSet                 as IS
import           Data.List
import qualified Data.Map.Strict             as M
import           Data.Maybe
import           Data.Ord
import qualified Data.Sequence               as SQ
import qualified Data.Set                    as S
import           Data.Time
import qualified Data.Tree                   as T
import qualified Data.Vector                 as V
import qualified Data.Vector.Mutable         as VM
import qualified Data.Vector.Unboxed         as VU
import qualified Data.Vector.Unboxed.Mutable as VUM

readInt :: IO [Int]
readInt = map (fst . fromJust . BS.readInt) . BS.words <$> BS.getLine

readInts :: Int -> IO [[Int]]
readInts n = replicateM n readInt

readInteger :: IO [Integer]
readInteger = map (fst . fromJust . BS.readInteger) . BS.words <$> BS.getLine

readIntegers :: Int -> IO [[Integer]]
readIntegers n = replicateM n readInteger

readString :: IO [String]
readString = map BS.unpack . BS.words <$> BS.getLine

readStrings :: Int -> IO [[String]]
readStrings n = replicateM n <$> readString

toPair :: [a] -> (a, a)
toPair [x, y] = (x, y)

count :: Eq a => a -> [a] -> Int
count a as = length $ filter (== a) as

put :: Show a => a -> IO ()
put = putStr . show

putLn :: Show a => a -> IO ()
putLn = print

putList :: Show a => [a] -> IO ()
putList [n] = put n
putList (n:ns) = do
  put n
  putStr " "
  putList ns

putStrList :: [String] -> IO ()
putStrList [n] = putStr n
putStrList (n:ns) = do
  putStr n
  putStr " "
  putStrList ns

yesNoUpper b
  | b = putStrLn "YES"
  | otherwise = putStrLn "NO"

yesNo b
  | b = putStrLn "Yes"
  | otherwise = putStrLn "No"

main = do
  [a, b] <- readInt
  if any (\x -> x `mod` 3 == 0) [a, b, a + b]
    then putStrLn "Possible"
    else putStrLn "Impossible"