Inspired by [this question](http://codereview.stackexchange.com/questions/117174/write-a-function-named-issuper-that-returns-1-if-its-array-argument-is-a-issuper) from our <strike>rivals</strike> friends over at Code Review.

#Definitions

A *super array* is an array where each new element in the array is larger than the sum of all the previous elements. `{2, 3, 6, 13}` is a super array because

    3 > 2
    6 > 3 + 2 (5)
    13 > 6 + 3 + 2 (11)

`{2, 3, 5, 11}` is *not* a super array, because

    3 > 2
    5 == 3 + 2
    11 > 5 + 3 + 2

A *duper array* is an array where each new element in the array is larger than the product of all the previous elements. `{2, 3, 7, 43, 1856}` is a super array, but it is also a *duper* array since

    3 > 2
    7 > 3 * 2 (6)
    43 > 7 * 3 * 2 (42)
    1856 > 43 * 7 * 3 * 2 (1806)

#The challenge

Write a function or program that takes an array as input in your languages native list format, and determines how super the array is. You can also optionally take an array length input (for languages like C/C++). Also, you can assume that all of the numbers in the list will be integers greater than 0.
If it's a *super* array, you must print `It's a super array!` If it is a *super **duper*** array, you must print `It's a super duper array!` It's also possible for an array to be super-non-duper. For example `{1, 2, 3}` In this case, you should print `It's a duper array!` If the array is neither super nor duper, you can print a falsy value. 

As usual, this is code golf, so standard loopholes apply, and the shortest answer in bytes wins.