README.md

Partition Equal Subset Sum (LeetCode 416)

This repository contains a Python solution to the classic "Partition Equal Subset Sum" problem from LeetCode, solved using an optimized Dynamic Programming approach.

🧠 Problem Statement

Given a non-empty array nums containing only positive integers, determine if the array can be partitioned into two subsets such that the sum of elements in both subsets is equal.

Example 1

Input: nums = [1, 5, 11, 5]

Output: true

Explanation: The array can be partitioned as [1, 5, 5] and [11].

Example 2

Input: nums = [1, 2, 3, 5]

Output: false

✅ Solution Approach

• Calculate the total sum of all elements.
• If the sum is odd, return False (can't split into two equal subsets).
• If even, check if there's a subset with sum = total // 2 using 1D Dynamic Programming.
• Time Complexity: O(n * sum)
• Space Complexity: O(sum)

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