- Subset sum easy. It can be stated as follows: Given a set of integers, does any subset of them sum to zero? For example, given the set { -7, -3, -2, 5, 8}, the answer is yes because the subset { -3, -2, 5} sums to zero. So create a 2D array to store the value of each state to avoid recalculation of the same state. The goal is to find all possible sums of subsets of a given set. Example: int[] A = { 3, 2, 7, 1}, S = 6 Output: True, subset is (3, 2, 1} We will first discuss the recursive approach and then we will improve it using Dynamic Programming. Recursive Approach Jun 15, 2022 · The Subset-Sum Problem is to find a subset’ of the given array A = (A1 A2 A3…An) where the elements of the array A are n positive integers in such a way that a’∈A and summation of the elements of that subsets is equal to some positive integer S. When the element sum equals target, the subset is recorded in the result list. Jun 14, 2025 · The Subset Sum Problem is a classic problem in computer science and mathematics that involves finding a subset of a given set of integers that sums up to a target value. It can be reformulated to the 3SAT. If multiple answers exist Ever wondered which numbers from a list add up to a specific total? Whether you’re reconciling receipts, solving a math puzzle, or planning a budget, this Subset Sum Finder (Target Sum Finder) makes it easy. Jul 23, 2025 · Java Program for Subset Sum Problem using Memoization: As seen in the previous recursion method, each state of the solution can be uniquely identified using two variables – the index and the remaining sum. Dynamic Programming - Subset Sum Problem Objective: Given a set of positive integers, and a value sum S, find out if there exists a subset in an array whose sum is equal to the given sum S. For example, if X = {5, 3, 11, 8, 2} and K = 16 then the answer is YES since the subset X' = {5, 11} has a sum of 16. Simply enter a list of numbers and your target sum—then click Find Combination. Can you solve this real interview question? Find Array Given Subset Sums - You are given an integer n representing the length of an unknown array that you are trying to recover. Below is the implementation of the above approach: Java Now, given a set S S with n n integers, she needs to find the cumulative sum of F (a) F(a) for all a a, where a a is any non-empty subset of S S. Oct 13, 2024 · What is the Subset Sum Problem? The Subset Sum Problem is a classic problem in computer science and mathematics that can be summarized as follows: given a set of integers, is there a subset whose sum equals a specific target value? Formal Definition The Subset Sum problem takes as input a set X = {x1, x2 ,…, xn} of n integers and another integer K. Return the array ans of length n representing the unknown array. Unlike the permutation problem, elements in this problem can be chosen an unlimited number of times, thus there is no need to use a selected boolean list to record whether an element has been chosen. The problem is to check if there exists a subset X' of X whose elements sum to K and finds the subset if there's any. The problem is NP-Complete. Sep 15, 2025 · Learn how to solve the Subset Sum Problem using brute force and dynamic programming approaches, with complete code examples in Python, Java, and C++. At its core, it's a deceptively simple question: given a set of numbers and a target sum, can we find a subset of those numbers that add up to the target? Aug 15, 2025 · Use our Combination Sum Calculator to compute nCr, permutations, factorials, and subset sums quickly and accurately. Jul 23, 2025 · Given an array arr [] of non-negative integers and a value sum, the task is to check if there is a subset of the given array whose sum is equal to the given sum. We also gave 3 solutions using Recursion, Memoization Technique, and Dynamic Programming. Sep 23, 2024 · Introduction The Subset Sum Problem is a classic algorithmic challenge that has captivated computer scientists and programmers for decades. Aug 16, 2024 · The Sum of Subsets is that we have n number of elements with weights, find the combination of the subset elements, and then the sum of those subset items is called ‘m’. Feb 10, 2025 · The Subset Sum Problem is a fundamental problem in recursion and dynamic programming. . Jun 14, 2025 · Explore efficient techniques and strategies for solving the Subset Sum Problem, a key challenge in combinatorial algorithms, with our detailed guide. Aug 12, 2024 · Discover efficient algorithms like backtracking and dynamic programming to tackle the Subset Sum Problem, exploring their intricacies and applications in the real world. You are also given an array sums containing the values of all 2n subset sums of the unknown array (in no particular order). This article explores different approaches to Hard 162. In this problem, we Nov 15, 2022 · Explained the Subset Sum Problem with example. fywm o5y fbg qxaq mzme dmaua kh mdrh e1l cxa5