A Quick Introduction to the Subset Sum Problem
A Quick Overview
Do you want to learn about a problem that involves finding subsets of an array with a specific sum? Introducing the Subset Sum Problem!
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Given an array of non-negative integers and an integer sum, find whether any subset exists in an array whose sum equals the given integer sum.
Problem Statement
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Input:
arr[] = {3, 34, 4, 12, 3, 2}, sum = 7
Output:
True
Explanation:
There is a subset (4, 3) with sum 7.
Example
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First Case-
1. Take the last element.
2. Now, sum = target sum – value of ‘last’ element.
3. Elements remaining = size of array – 1.
Recursive Approach
Check second case
Looking for a more efficient solution to Subset Sum Problem? Check out this Approach. Here, we will make a 2D array of size equal to (size of array + 1) * (target sum + 1) of boolean type.
Dynamic Programming Approach
Check the algorithm
Time Complexity:
O(N * sum), where N is array size
Space Complexity:
O(N * sum), where N is array size
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Explore different approaches and learn how to implement them in various programming languages.
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