Longest Increasing Subsequence | CSharp Solution | Dynamic Programming

Find the length of the longest strictly increasing subsequence in an array of integers. #dynamicprogramming #leetcode300 #algorithms #csharp ⏱️ **Complexity** - Time Complexity: O(n²) for classic DP solution, O(n log n) for optimized binary search approach - Space Complexity: O(n) ⏰ **Timestamps** 00:00 - Understanding problem statement 00:55 - Brute Force approach 02:51 - Big O Notation calculated 03:27 - Using Dynamic Programming 08:56 - Big O Notation calculated 09:28 - C# solution walk-through 10:43 - Solution analysis - runtime + memory 10:51 - Conclusion 🔑 **Key Concepts** - Dynamic Programming - Binary Search Optimization - Subsequence vs Subarray - Memoization 💡 **Learning Points** - Building a DP state array for increasing subsequences - Optimizing standard DP with binary search - Handling non-consecutive elements in a sequence - Recognizing the difference between greedy and DP approaches 🔗 **Related Problems** - LeetCode 673: Number of Longest Increasing Subsequences - LeetCode 674: Longest Continuous Increasing Subsequence - LeetCode 1143: Longest Common Subsequence - LeetCode 354: Russian Doll Envelopes 👥 **Target Audience** Software engineers preparing for coding interviews, computer science students studying algorithms, and C# developers looking to strengthen their problem-solving skills. 📚 **Prerequisites** - Basic understanding of arrays and loops - Familiarity with dynamic programming concepts - C# programming knowledge 🔗 **Links** - LeetCode problem: https://leetcode.com/problems/longest-increasing-subsequence/ - Solution code: https://leetcode.com/problems/longest-increasing-subsequence/solutions/6866042/dynamic-programming-longest-increasing-s-khds 💡 **Additional Tips** - The O(n²) DP approach is easier to understand but always mention the O(n log n) approach for optimization-focused interviews - Visualize the DP array building process with a concrete example - Emphasize how to recognize DP versus greedy problems 📣 **Call to Action** If you found this explanation helpful, please subscribe to the channel and hit the notification bell to stay updated with new LeetCode solutions! Share your questions or alternative approaches in the comments below. #codinginterviews #leetcodesolutions #algorithmpractice