Solution: Subsets

Explore how to generate all possible subsets of a unique integer array using the subsets pattern and bitwise manipulation. Understand the calculation of total subsets with 2 to the power of n, how to iterate using binary masks to include or exclude elements, and how this approach ensures no duplicates. This lesson prepares you to implement and analyze an efficient solution to subset generation problems.

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Statement
Pattern: Subsets
Solution

Statement

Given an array of integers, nums, find all possible subsets of nums, including the empty set.

Note: The solution set must not contain duplicate subsets. You can return the solution in any order.

Constraints:

$1 \leq$ nums.length $\leq 10$
$-10 \leq$ nums[i] $\leq 10$
All the numbers of nums are unique.

Pattern: Subsets

Problems such as this one, where we need to find all possible subsets of a given set, can be efficiently solved using the subsets pattern. This pattern involves generating all possible subsets of a given set by using binary representations of indices to represent which elements should be included in each subset. This approach allows us to solve a wide range of problems that involve generating all possible subsets of a set.