🔥 LeetCode 416. Partition Equal Subset Sum | 1D Dynamic Programming Explained 💡 | Python Tutorial

In this Leetcode tutorial, we solve Problem 416: Partition Equal Subset Sum using optimized 1D Dynamic Programming in Python 🧠.

We'll walk through the intuition, dry run, and Python code for this classic subset sum problem—a must-know for coding interviews, especially FAANG!

You’ll learn: ✅ How to check if a set can be partitioned into two subsets with equal sum
✅ Why we use 1D DP instead of 2D to save space
✅ The role of bottom-up tabulation in subset problems
✅ Smart loop ordering to avoid overwriting values
✅ Efficient code for large input sizes

🧠 Concepts Covered:
Subset Sum Problem
Partition Problem Logic
Dynamic Programming with Booleans
State Transition in DP
Target Sum Construction
0/1 Knapsack Pattern
Memory Optimized DP
Bottom-Up Tabulation
Interview Pattern: Subset & Sum Problems

🔍 Ideal For:
FAANG Interview Prep
Leetcode Practice
Competitive Programming
Python for Coding Interviews
Students learning DSA

📈 Time & Space:
Time: O(N × target)
Space: O(target)

💻 Code Language: Python
🎓 Difficulty Level: Medium

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#leetcode416 #partitionsubsetsum #dynamicprogramming #subsetproblems #faangprep #statlearntech

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