**Stumped by recursive interview prep question**

Hi everyone,

I've been prepping for job interviews and came across a question that really stumped me. It's been a while since I've done anything functional programming related so I'm a bit rusty when it comes to writing recursive algorithms.

Here's the problem:

`Print the sums of all possible subsets of the numbers, ranging from 0 for containing no numbers to the sum of all the numbers for the whole set. Do this recursively: print all possible sums of the subsets that exclude the first element, then print all possible sums of the subsets that include the first element. Thus the input: 1 2 3 would produce the output: 0 3 2 5 1 4 3 6 `

I've attempted this a few times, but can't seem to figure out what to pass in-between each recursive call or what to set for the base case since the recursion is not approaching zero. I'm only posting here because I'm entirely stumped by this problem.

Any hints or help is appreciated!

Submitted July 13, 2017 at 11:21PM by Dave_the_Pigeon

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