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Subsets

Explore how to generate all subsets from an array of unique integers, including the empty set, while avoiding duplicate subsets. Understand the problem constraints and practice implementing a solution that returns subsets in any order, enhancing your skills in combinatorial coding challenges.

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.

Examples

Understand the problem

Let’s take a moment to make sure you’ve correctly understood the problem. The quiz below helps you check if you’re solving the correct problem:

Subsets

1.

Find all subsets for the given set.

nums = [6, 7, 8]

A.

[[], [6], [7], [8], [6, 7], [6, 8], [7, 8]]

B.

[[], [6], [7], [8], [6, 7], [6, 8], [7, 8], [6, 7, 8]]

C.

[[], [6], [6, 7], [6, 8], [7, 8], [6, 7, 8]]

D.

[[6], [7], [8], [6, 7], [6, 8], [7, 8], [6, 7, 8]]


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Figure it out!

We have a game for you to play. Rearrange the logical building blocks to develop a clearer understanding of how to solve this problem.

Sequence - Vertical
Drag and drop the cards to rearrange them in the correct sequence.

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Try it yourself

Implement your solution in the following coding playground:

C++
usercode > Subsets.cpp
vector<vector<int>> FindAllSubsets(vector<int> nums)
{
// Replace this placeholder return statement with your code
return {{-1}};
}
Subsets