Practice Problem

Subsets

Difficulty: Medium

Given an integer array of unique elements, return all possible subsets (the power set). The solution set must not contain duplicate subsets.

Subsets

Given an integer array nums of unique elements, return all possible subsets (the power set).

The solution set must not contain duplicate subsets. Return the solution in any order.

Examples

Example 1:

Input: nums = [1, 2, 3]
Output: [[], [1], [2], [3], [1, 2], [1, 3], [2, 3], [1, 2, 3]]

Example 2:

Input: nums = [0]
Output: [[], [0]]

Example 3:

Input: nums = [1, 2]
Output: [[], [1], [2], [1, 2]]

Constraints

  • 1 <= nums.length <= 10
  • -10 <= nums[i] <= 10
  • All the numbers of nums are unique

Expected Complexity

  • Time: O(n * 2^n). there are 2^n subsets, and each takes O(n) to copy
  • Space: O(n). recursion depth (excluding the output)
MEDIUM
Arrays
Backtracking
Recursion
Algorithms
Intermediate

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