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medium
DP

Partition Equal Subset Sum

**Problem Statement:** Given the required input arguments, write an efficient algorithm to solve the **Partition Equal Subset Sum** problem. Implement the required logic as specified by standard definitions for this classic algorithmic challenge. **Hint / Expected Approach:** Subset sum DP where target = total/2 **Edge Cases to Consider:** - (1) Odd total sum - (2) Single element equals half - (3) All elements same

Examples

Example 1
Input: [1,5,11,5]
Output: true
Explanation: {1,5,5} and {11}
Example 2
Input: [1,2,3,5]
Output: false
Explanation: Sum=11 odd
Example 3
Input: [1,1]
Output: true
Explanation: Two equal

Constraints

  • ▪Input arguments are within valid ranges
  • ▪Optimize for execution speed
  • ▪Handle null/empty inputs gracefully

Watch Out For Edge Cases

  • ▪Odd total sum
  • ▪Single element equals half
  • ▪All elements same
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