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419. Print all subsets of an array with a sum equal to zero
Objective: Given an array of integers write an algorithm to find all the subsets for which sum is equal to zero. The array contains both positive and negative integers.
Example:
Given Array: [8, 3, 5, 1, 4, 8], required sum: 0 Output: [8, 4, 1, 3, 8] [8, 3, 5] [8, 8] [4, 1, 3]
Given Array: [3, 1, 4, 2, 0], required sum: 0 Output: [4, 0, 1, 3] [4, 1, 3] [0]
Approach:
 Given arrA[].
 Sort the arrA[] in ascending order.
 Start with currSum = 0, startIndex = 0, combinationList=null
 Iterate through i = startIndex to length(arrA[]).
 Add arrA[i] to currSum.
 Put arrA[i] to combinationList.
 Make a recursive call with startIndex=i+1 (to process next elements) and combinationList.
 In tail recursion, backtrack and remove arrA[i] from the combinationList to find more solutions
 Base case: if currSum=0 and combinationList is not empty, Print combinationList.
Output:
Given Array: [8, 3, 5, 1, 4, 8], required sum: 0 [8, 4, 1, 3, 8] [8, 3, 5] [8, 8] [4, 1, 3]
Reference: https://www.careercup.com/question?id=6130274301640704