Grokking the Coding Interview Patterns in Python/

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Solution: Subsets

Solution: Subsets

Let's solve the Subsets problem using the Subsets pattern.

We'll cover the following...

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 technique. First, the total number of potential subsets is calculated using: 2nums.length2^{nums.length} ...