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Grokking the Coding Interview Patterns

Solution: Subsets

Explore the subsets pattern to generate all possible subsets of a given array of unique integers. Understand how to use binary representations and bitwise operations to efficiently build each subset, ensuring no duplicates. This lesson covers the step-by-step approach, time and space complexity, and practical implementation details.

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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≤1 \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 subset ...