✅Day 5 | LeetCode 300. Longest Increasing Subsequence | Problem of the Day

🎉 Welcome to another exciting Coding Adventure! 🚀 In this coding tutorial, we're delving into a fascinating algorithm that tackles the challenge of finding the length of the longest strictly increasing subsequence in an array. Join me as we navigate through the steps to optimize this process and explore a clever algorithm with a time complexity of O(n log(n)).

🎯 Problem Overview:
Imagine having an array of integers, and our mission is to determine the length of the longest strictly increasing subsequence within that array. Each subsequence must consist of elements in ascending order. This problem offers a unique combination of dynamic programming and binary search strategies to efficiently solve it.

🚀 Algorithm Breakdown:

Sort the Array: Initiate the process by sorting the array in ascending order.
Initialize Counters: Set up counters for the length of the longest increasing subsequence, along with indices for iteration.
Dynamic Programming Approach: Iterate through the sorted array, dynamically updating the length of the longest increasing subsequence.
Binary Search for Insertion Point: Utilize a binary search to find the correct insertion point for each element in the current subsequence.
Update Count: Increment the count for each successfully inserted element.
Final Result: The count represents the length of the longest strictly increasing subsequence.
🔍 Example Scenario:
Consider the input array [10, 9, 2, 5, 3, 7, 101, 18]. The algorithm results in a length of 4 for the longest strictly increasing subsequence [2, 3, 7, 101]. Let's walk through the process step by step!

📊 Complexity Analysis:

Time Complexity: O(n log n) due to the initial sorting.
Space Complexity: O(1) (constant space for variables).
🤓 Learn and Explore:
Embark on a journey into the world of algorithms and problem-solving. We'll break down the logic with clear explanations and practical examples.

🔗 Related Tags:
#AlgorithmExplained #CodingTutorial #ProgrammingLogic
#CodingChallenge #Algorithm #CodingInC++ #ProblemSolving #leetcode #leetcodedailychallenge #leetcodesolutions #dailyvlog

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