Solution: Subsets

Explore how to generate all possible subsets of a given integer array by applying bitwise operations and the subsets pattern. Learn to calculate total subsets and use binary masks to build each subset, ensuring no duplicates. Understand the exponential time complexity and practical steps for subset generation.

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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.