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Solution: Partition Equal Subset Sum

Explore how to solve the Partition Equal Subset Sum problem by applying dynamic programming concepts. Understand the naive recursive approach and why it is inefficient. Discover how to implement an optimized bottom-up tabulation technique with a lookup table to efficiently find if the array can be partitioned. Learn to evaluate time and space complexity and how to reduce space usage through a space-optimized one-dimensional array.

Statement

Given a non-empty array of positive integers, determine if the array can be divided into two subsets so that the sum of both subsets is equal.

Constraints:

  • 11 \leq nums.length 200\leq 200
  • 11 \leq nums[i] 100\leq 100
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