Haskell - Functions with lists P25054

In this problem you have to define some functions about lists in Haskell.

1. Define a function myLength :: [Int] -> Int that, given a list of integers, returns its length.

2. Define a function myMaximum :: [Int] -> Int that, given a non-empty list of integers, returns its maximal element.

3. Define a function average :: [Int] -> Float that, given a non-empty list of integers, returns its average.

4. Define a function buildPalindrome :: [Int] -> [Int] that, given a list, returns its palindrome that starts with the reserved list.

5. Define a function remove :: [Int] -> [Int] -> [Int] that given a list of integers $x$ and a list of integers $y$, returns $x$ after having removed all the ocurrences of the elements in $y$.

6. Define a function flatten :: [[Int]] -> [Int] that flattens a list of lists yielding a single list of elements.

7. Define a function oddsNevens :: [Int] -> ([Int],[Int]) that, given a list of integers, returns two lists: Onw with all the even numbers and one with all the odd numbers, each of them in the same relative order as in the original list.

8. Define a function primeDivisors :: Int -> [Int] that returns the list of prime divisors of a non-zero natural.

Scoring

Esch function scores 12 points and the sample 4.