LeetCode Problem 643: Maximum Average Subarray I | Sliding Window C# Solution Explained

Here's my solution to the LeetCode Problem 643: Maximum Average Subarray I, implemented in C# using an Efficient Sliding Window Approach. 🚀

💡 Problem Overview:
The task is to find the maximum average value of any contiguous subarray of size k in a given integer array nums. This solution efficiently calculates the sliding sum of the subarray with size k and tracks the maximum average value, ensuring linear complexity.

✅ What You'll Learn in This Video:

How to leverage the Sliding Window Technique to reduce time complexity in subarray problems.
Efficient array sum manipulation by adjusting a fixed-size window.
A clean and easy-to-understand implementation in C#.
🔔 Code Highlights:

Time Complexity: O(n), where n is the number of elements in the array. The sliding window ensures we only traverse the array once.
Space Complexity: O(1), as we maintain just a few variables (like sum and result) without using extra space.
Core Insight: Calculate the sum of the first subarray of size k and then use the sliding window technique to update the sum by subtracting the leftmost element and adding the next element in each iteration. Meanwhile, the maximum average is updated dynamically in each step.
💡 This problem is a fundamental example of the Sliding Window Technique, a must-know for solving subarray and window size optimization problems in coding interviews.

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