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-- Exercise 1

fib :: Integer -> Integer
fib 0 = 0
fib 1 = 1
fib n = (fib (n-1)) + (fib (n-2))

fibs1 :: [Integer]
fibs1 = map fib [0..]

-- Exercise 2

fibs2 :: [Integer]
fibs2 = map fst $ iterate (\l -> ( snd l , snd l + fst l )) (0,1)

-- Exercise 3

data Stream a = Cons a (Stream a)

streamToList :: Stream a -> [a]
streamToList (Cons a s) = a : streamToList s

instance Show a => Show (Stream a) where
	show s = show $ take 20 $ streamToList s