import Data.List import Data.Bool primes = 2:3:[x | i<-[1..], j<-[-1,1], let x = 6*i+j, isPrime x] where isPrime n = null [i | i<-takeWhile (\x -> x^2 <= n) primes, mod n i == 0] factorization :: Integer -> [Integer] factorization n = unfoldr fact (n, primes) where q = (floor . sqrt . fromIntegral) n fact (n', pps@(p:ps)) | n' == 1 = Nothing | p > q = Just (n',(1,pps)) | otherwise = let (d,m) = divMod n' p in if m==0 then Just (p,(d,pps)) else fact (n',ps) main = readLn >>= putStrLn . bool "Bob" "Alice" . pdgame . map length . group . factorization pdgame dns | null dns2 && odd (length dns1) = True | odd (length dns2) = True | otherwise = False where (dns1,dns2) = (partition (==1) dns)