Solution: Subsets
Explore the subsets pattern, a vital technique for coding interviews that involves generating all possible subsets of a given integer array. This lesson guides you through using bitwise operations to efficiently create subsets without duplicates, helping you solve a wide range of related problems with confidence.
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:
-
nums.length -
nums[i] - All the numbers of
numsare 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 subset technique. First, the total number of potential subsets is calculated using: