Maximum Subarray Explained Using Brute Force | Step-by-Step for Beginners

Описание: 💻 In this video, we’ll solve the Maximum Subarray problem using the Brute Force approach — a simple but powerful way to understand how subarray sums work before jumping into Kadane’s Algorithm.

🔍 What You’ll Learn:
Understanding the Maximum Subarray problem
Brute Force method explanation
Step-by-step dry run with examples
Finding maximum sum manually
Time and space complexity analysis

✅ Problem Statement:
Given an integer array nums, find the contiguous subarray (containing at least one number) that has the largest sum and return its sum.

Example:

Input: nums = [-2,1,-3,4,-1,2,1,-5,4]
Output: 6
Explanation: [4,-1,2,1] has the largest sum = 6

💡 Approach Used:
Try all subarrays (Brute Force)
Compare sum of every subarray
Track the maximum sum found
🧠 Time Complexity: O(n²)

🧠 Next Video: Kadane’s Algorithm (Optimized Solution) → Coming soon!

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