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LeetCode 53: Maximum Subarray | Python Solution | Kadane's Algorithm

🔍 Solve the classic maximum subarray problem using #kadanealgorithm in #python. Learn how to find the contiguous subarray with the largest sum in a given array of integers. #dynamicprogramming #arrays

⏱️ **Time Complexity**: O(n)
🧮 **Space Complexity**: O(1)

## Timestamps
00:01 - Understanding problem statement
00:43 - Brute force approach
02:43 - Big O Notation explained
03:20 - Using Kadane's algorithm
05:43 - Kadane's Algorithm - dry run
08:02 - Big O Notation calculated
08:35 - Python code walk-through
09:23 - Solution analysis - runtime + memory
09:31 - Conclusion

## Key Concepts
- Kadane's Algorithm
- Dynamic Programming
- Array Traversal
- Maximum Sum Calculation
- Local vs Global Maximum

## Learning Points
- Understanding how to track running sums efficiently
- Implementing the optimal O(n) solution with constant space
- Handling negative numbers in arrays
- Recognizing when to reset cumulative sums

## Related Problems
- LeetCode 121: Best Time to Buy and Sell Stock
- LeetCode 152: Maximum Product Subarray
- LeetCode 918: Maximum Sum Circular Subarray
- LeetCode 1567: Maximum Length of Subarray With Positive Product

## Target Audience
This video is perfect for software engineers preparing for coding interviews, computer science students learning algorithm fundamentals, and anyone looking to improve their problem-solving skills with arrays and dynamic programming.

## Prerequisites
- Basic understanding of arrays in Python
- Familiarity with loops and conditional statements
- Elementary knowledge of time and space complexity analysis

## Useful Links
📝 Problem: https://leetcode.com/problems/maximum-subarray/
💻 Solution Code: https://leetcode.com/problems/maximum-subarray/solutions/6901369/kadanes-algorithm-solution-in-python-wit-fx9p
☕ Buy Me a Coffee: https://buymeacoffee.com/hgindra

## Additional Tips
- Pay attention to how we handle the case when all numbers are negative
- Notice the elegance of Kadane's algorithm in tracking both current and maximum sum
- Observe how we avoid nested loops to achieve linear time complexity

## Call to Action
If you found this solution helpful, please consider subscribing to my channel for more algorithmic problem-solving videos! Share your questions or alternative approaches in the comments below. What other LeetCode problems would you like me to cover next? #codinginterview #leetcode #algorithmstudy

Видео LeetCode 53: Maximum Subarray | Python Solution | Kadane's Algorithm канала Code Scribbler
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