Wildcard Directions & Greedy Optimization for LeetCode

#100DaysOfLeetcode journey 🚀 🚀 Day 74/100 — Wildcard Directions & Greedy Optimization! Today’s Problem: 2833. Furthest Point From Origin 🔹 The Goal: Given a string representing moves on a number line ('L' for left, 'R' for right, and '_' as a wildcard), find the maximum absolute distance from the origin you can reach after performing all moves. 🔹 The Insight: This problem boils down to a simple Greedy Strategy. To get as far away from zero as possible, you want to pick a "dominant" direction. The underscores are your flexible assets—they should always be used to reinforce whichever direction ('L' or 'R') you are already moving in more. 🔹 The Logic: Component Counting: I simply counted the occurrences of 'L', 'R', and the wildcards ('_'). Net Displacement: The core distance is the absolute difference between the fixed moves: $|R - L|$. Wildcard Bonus: To maximize the distance, every single underscore should be converted into the direction that increases that absolute difference. The Result: Total Distance = $|R - L| + \text{Underscores}$. ✨ Achievement: Day 74! Approaching the three-quarter mark of the challenge. Today was a great reminder that not every "optimization" problem requires complex Dynamic Programming. Sometimes, the most efficient solution ($O(N)$ time, $O(1)$ space) comes from identifying the greedy choice that yields the maximum variance. 🔍 Steps followed: ✔ Linear Scan: One pass to aggregate the move types. ✔ Directional Bias: Identified the majority direction. ✔ Greedy Allocation: Assigned all flexible moves to the majority direction to maximize the final offset. 🔧 The Stats: Time Complexity: $O(n)$ Space Complexity: $O(1)$ 74 days down! The streak is strong, and the logic is getting leaner. Let's keep moving! 🛠️ #Java #DSA #LeetCode #CodingJourney #100DaysOfCode #SoftwareEngineer #InternshipBound #Programming #GreedyAlgorithms #Logic #Optimization #Day74

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