🔥 Final Array State After K Multiplication Operations Explained | Heaps | DSA

1️⃣ *[Final Array State After K Multiplication Operations I](https://leetcode.com/problems/final-a... (Easy)
2️⃣ *[Final Array State After K Multiplication Operations II](https://leetcode.com/problems/final-a... (Hard)

**Code Repositories**:
**Brute Force Solution for Easy Problem**:
[GitHub Repository](https://github.com/Senvikas/leetcode1...)

**Optimal Solution for Hard Problem**:
[GitHub Repository](https://github.com/Senvikas/leetcode1...)


In this video, I cover:
*Brute Force Approach* for the easy problem with detailed examples and complexity analysis.
*Optimal Solution* for the hard problem using cycles, modular arithmetic, and priority queues.
A dry run for both problems to solidify your understanding.
Efficient implementation and debugging tips for edge cases.

**What You’ll Learn**:
1️⃣ Problem statement and examples for both questions.
2️⃣ Brute Force Approach: Why it’s inefficient for large inputs.
3️⃣ Optimal Solution for the Hard Problem:
Efficiently detect cycles.
Use priority queues and modular arithmetic to reduce operations.
Apply modular exponentiation for large multiplications.
4️⃣ Time and Space Complexity Analysis.
5️⃣ Step-by-step dry runs for clarity.

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**Topics Covered**:
Problem Intuition
Priority Queue (Min-Heap)
Modular Arithmetic and Exponentiation
Cycles and Greedy Distribution
Dry Run Coding
Optimization Techniques for Large Inputs

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Thank you for watching! Let me know in the comments how you approached these problems. 😊

00:00:00 Hi EveryOne.