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Solution: Subsets

Understand how to generate all subsets of a given integer array by leveraging binary representations and bitwise techniques. This lesson guides you through calculating total subsets, iterating through possible combinations, and constructing subsets step-by-step to efficiently solve subset problems.

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:

  • 11 \leq nums.length 10\leq 10
  • 10-10 \leq nums[i] 10\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.

Solution

Generating all possible subsets of a given set inherently involves exploring different combinations of elements, which aligns well with the ...