Question: 2. (10 points) Let A[1..n] be an array of n distinct positive integers for some n1. (a) Describe a recursive algorithm that returns a list

2. (10 points) Let A[1..n] be an array of n distinct

2. (10 points) Let A[1..n] be an array of n distinct positive integers for some n1. (a) Describe a recursive algorithm that returns a list of all combinations of the numbers in A[1..n]. You can either describe your algorithm in text or in a documented pseudocode. Explain your output representation. Make sure that your algorithm is recursive. Also, each combination should appear exactly once in your output; there should not be any duplicate. Note that a combination is a subset of numbers, which means that two lists of numbers may represent the same combination even if they have the numbers in different orders. (b) Write down the recurrence for the running time of your recursive algorithm in (a) with the boundary conditions. Explain your notations. Solve your recurrence to obtain the the running time of your algorithm

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