Subsets
Explore how to generate all possible unique subsets of an integer array, including the empty set. This lesson guides you through understanding the problem constraints and implementing efficient algorithms to avoid duplicate subsets. Learn a foundational pattern useful in coding interviews.
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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:
-
nums.length -
nums[i] - All the numbers of
numsare 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
Find all subsets for the given set.
nums = [6, 7, 8]
[[], [6], [7], [8], [6, 7], [6, 8], [7, 8]]
[[], [6], [7], [8], [6, 7], [6, 8], [7, 8], [6, 7, 8]]
[[], [6], [6, 7], [6, 8], [7, 8], [6, 7, 8]]
[[6], [7], [8], [6, 7], [6, 8], [7, 8], [6, 7, 8]]
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.
Try it yourself
Implement your solution in the following coding playground:
function findAllSubsets(nums) {// Replace this placeholder return statement with your codereturn [[]]}export {findAllSubsets}