module Main where
import System.Environment
main :: IO ()
main = do args <- getArgs
let max = read (head args)
if length args == 1
then do putStrLn $ "The weird numbers up to " ++ (head args) ++ ":"
putStrLn $ show $ takeWhile (<= max) weirdNumbers
else putStrLn "Usage: weird_numbers LIMIT"
return ()
weirdNumbers :: [Integer]
weirdNumbers = filter weird [70..]
where
weird n = sum (divisors n) > n && (not . any (==n) . map sum . subsets . divisors) n
divisors :: Integer -> [Integer]
divisors n = filter ((==0) . (mod n)) [1..(n `div` 2)]
subsets :: [a] -> [[a]]
subsets [] = [[]]
subsets (x:xs) = subsets xs ++ map (x:) (subsets xs)