Partition Equal Subset Sum
Application of 0/1 Knapsack Concept and Subset Sum Problem

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Problem Statement:
Given a nonempty array nums containing only positive integers, find 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
Explanation: The array cannot be partitioned into equal sum subsets.
Solution:
I have commented all the implementation logic in the code inline:
Java Code:
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Python Code:
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Space Optimization:
I highly recommend looking at the Space Optimization in 0/1 Knapsack Problem first before looking at the code below:
Java Code:
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Python Code:
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