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#####   ####    #####   #   #   #   #   #   #   #  ####
##  #   ##      ##      ## ##    # #    #    # #   ##
##   #  ######  ##       ###      #    ###    #    ######

$ curl repovive.com/roadmaps/fundamental-algorithms/backtracking/subsets

░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░████████████████████████████████████████████████████████████████████████

#####   ######  #####    ###    #   #  ###  #   #  ######
##  ##  ##      ##  ##  ## ##   #   #   #   #   #  ##
#####   ####    #####   #   #   #   #   #   #   #  ####
##  #   ##      ##      ## ##    # #    #    # #   ##
##   #  ######  ##       ###      #    ###    #    ######

$ curl repovive.com/roadmaps/fundamental-algorithms/backtracking/subsets

Repovive

Subsets - Backtracking | Fundamental Algorithms | Repovive

Repovive.

Subsets

Generate all subsets of a set.

min

Problem: Return all subsets of distinct integers.

function backtrack(nums, index, current, result):
    result.add(copy of current)
    for i from index to nums.length - 1:
        current.add(nums[i])
        backtrack(nums, i + 1, current, result)
        current.removeLast()

Example: $[1,2,3]$ [1,2,3] → $[[], [1], [1,2], [1,2,3], [1,3], [2], [2,3], [3]]$ [[],[1],[1,2],[1,2,3],[1,3],[2],[2,3],[3]].

Time: $O(n \cdot 2^n)$ O(n⋅2n). Space: $O(n)$ O(n).