LeetCode 64: Minimum Path Sum | Python Solution | Dynamic Programming
In this video, I solve LeetCode problem 64: Minimum Path Sum using #dynamicprogramming. We need to find the path with the minimum sum from the top-left to bottom-right of a grid, moving only down or right. #leetcode #python #dp
⏱️ **Time Complexity**: O(m×n) - we visit each cell exactly once
🧠 **Space Complexity**: O(m×n) - for the DP table (can be optimized to O(n))
Timestamps:
00:00 - Understanding problem statement
00:39 - Brute force approach
01:39 - Big O Notation calculated
02:00 - Using Dynamic Programming
03:31 - Dry run
05:16 - Big O Notation calculated
05:59 - Python code walk-through
06:53 - Solution analysis - runtime + memory
07:01 - Conclusion
Key Concepts:
📝 2D Dynamic Programming
🔄 Bottom-up tabulation
⬇️ Path minimization
🔍 Grid traversal algorithms
Main Learning Points:
How to build a DP solution for grid traversal problems
Identifying overlapping subproblems in path finding
Space optimization techniques for 2D DP
Handling edge cases in grid-based problems
Related Problems:
LeetCode 62: Unique Paths
LeetCode 63: Unique Paths II
LeetCode 120: Triangle
LeetCode 931: Minimum Falling Path Sum
Target Audience:
This video is for software engineers preparing for coding interviews, particularly those looking to master dynamic programming techniques for grid-based problems.
Prerequisites:
Basic understanding of arrays and matrices
Familiarity with dynamic programming concepts
Intermediate Python knowledge
Useful Links:
🔗 LeetCode problem statement: https://leetcode.com/problems/minimum...
💻 Solution code: https://leetcode.com/problems/minimum...
Additional Tips:
Pay attention to how we can reduce space complexity from O(m×n) to O(n)
Notice the similarity with other grid traversal problems, but with a different objective
Understand why choosing the minimum path requires different state transitions than counting paths
Call to Action:
If you found this solution helpful, please hit the like button and subscribe to my channel! Drop your questions or alternative approaches in the comments below, and I'll respond to them. #codinginterviews #algorithmsanddatastructures #problemsolving
Auf dieser Seite können Sie das Online-Video LeetCode 64: Minimum Path Sum | Python Solution | Dynamic Programming mit der Dauer stunde minuten sekunde in guter Qualität ansehen, das der Benutzer Code Scribbler 08 September 2025 hochgeladen hat, den Link mit Freunden und Bekannten teilen, dieses Video wurde auf Youtube bereits 274 Mal angesehen und es wurde von 6 den Zuschauern gefallen. Viel Spaß beim Betrachtenden Zuschauern gefallen!
