Explore how to find all subsets of distinct positive integers that add up to a target sum k. Understand the problem constraints and implement an optimal solution running in O(n * 2^n) time and O(n) space, building a foundation for solving similar subset problems in coding interviews.
Statement
Given an array of n distinct positive integers, find all possible subsets of these integers such that the sum of the elements in each subset equals a given target value k.
Return a 2D array, where each inner array represents a subset whose sum equals k.
Constraints:
1≤n≤10
1≤x≤100, where x is any member of the input array.
1≤k≤103
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
1.
From the given set, find all subsets with sum equals k:
set = {8, 13, 3, 22, 17, 39, 87, 45, 36}
k = 16
A.
{8, 3}
B.
{13, 3}
C.
{13, 8}
D.
{22, 17}
1 / 3
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.
Sequence - Vertical
Drag and drop the cards to rearrange them in the correct sequence.
1
2
3
4
5
6
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.
Explore how to find all subsets of distinct positive integers that add up to a target sum k. Understand the problem constraints and implement an optimal solution running in O(n * 2^n) time and O(n) space, building a foundation for solving similar subset problems in coding interviews.
Statement
Given an array of n distinct positive integers, find all possible subsets of these integers such that the sum of the elements in each subset equals a given target value k.
Return a 2D array, where each inner array represents a subset whose sum equals k.
Constraints:
1≤n≤10
1≤x≤100, where x is any member of the input array.
1≤k≤103
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
1.
From the given set, find all subsets with sum equals k:
set = {8, 13, 3, 22, 17, 39, 87, 45, 36}
k = 16
A.
{8, 3}
B.
{13, 3}
C.
{13, 8}
D.
{22, 17}
1 / 3
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.
Sequence - Vertical
Drag and drop the cards to rearrange them in the correct sequence.
1
2
3
4
5
6
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.