Find K-Sum Subsets
Explore how to identify all subsets within an array of distinct positive integers that sum to a given target k. Learn to implement an approach optimized with O(n * 2^n) time complexity and O(n) space complexity, improving your understanding of subset generation and algorithmic problem-solving patterns.
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Statement
Given an array of k.
Return a 2D array, where each inner array represents a subset whose sum equals k.
Constraints:
, where is any member of the input array. k
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:
Find K-Sum Subsets
From the given set, find all subsets with sum equals k:
set = {8, 13, 3, 22, 17, 39, 87, 45, 36}
k = 16
{8, 3}
{13, 3}
{13, 8}
{22, 17}
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.
Note: As an additional challenge, we have intentionally hidden the solution to this puzzle.
Try it yourself
Implement your solution in the following coding playground:
We have left the solution to this challenge as an exercise for you. An optimal solution to this problem runs in O(n * 2n) time and takes O(n) space. You may try to translate the logic of the solved puzzle into a coded solution.
function getKSumSubsets(nums, k){// Replace this placeholder return statement with your codereturn []}export { getKSumSubsets };