Find K-Sum Subsets
Explore methods to find all subsets within an array whose sum equals a specified target value k. This lesson helps you understand how to approach and implement solutions for k-sum subset problems in C++, focusing on problem analysis and coding strategy to optimize time and space complexity.
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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.
vector<vector<int>> GetKSumSubsets(vector<int> nums, int k){// Replace this placeholder return statement with your codereturn {{-1}};}