Solution: Subsets

Explore how to generate all possible subsets of an integer array by leveraging the subsets pattern. Understand how binary representations and bitwise checks help create unique subsets, including the empty set, without duplicates. This lesson guides you through calculating total subsets, iterating with bitmasks, and implementing an efficient solution.

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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.