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LeetCode 2751 | Robot Collisions | Java | Hard | Stack & Sorting Simulation | CodeByTushu

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LeetCode 2751 | Robot Collisions | Java | Hard | Stack & Sorting Simulation | CodeByTushu

Description: πŸš€ Welcome Back to CodeByTushu!

In today’s video, we solve LeetCode 2751 β€” Robot Collisions using Stack and Sorting in Java.

We are given positions, healths, and directions for multiple robots moving along a one-dimensional line at the exact same speed. Whenever two robots moving toward each other collide, the robot with lower health is destroyed while the survivor loses one health unit, and if both share identical health, both are eliminated. Our goal is to determine the final healths of all surviving robots in the original order they were provided.

Since all robots move at identical speeds, collisions occur only when a right-moving robot meets a left-moving robot positioned to its right. We first sort the robot indices by their coordinate positions from left to right. We then iterate through the sorted robots using a stack to track active right-moving robots. When encountering a left-moving robot, we resolve collisions against the top of the stack until either the left-moving robot is destroyed, both robots eliminate each other, or the left-moving robot clears all opposing right-moving robots. Finally, we collect the surviving healths in the original input order. This simulation achieves an optimal time complexity of O(N log N) dominated by sorting, with O(N) auxiliary space.

πŸ”₯ Problem Highlights

βœ… Spatial sorting of robot indices by position along the line
βœ… Collision invariant observation where only R meets L can collide
βœ… Monotonic stack simulation efficiently resolving sequential collisions
βœ… In-place health decrement and mutual elimination handling
βœ… Reconstructing final survivor healths in original input index sequence
βœ… Optimal O(N log N) time complexity and O(N) auxiliary space

⏱️ TIMESTAMPS

00:00 Intro & Daily Challenge Kickoff (98-Day Streak)
01:38 Problem Understanding & Collision Dynamics Walkthrough
03:11 Key Insights: Coordinate Sorting & Monotonic Stack Invariant
05:00 Optimal Algorithmic Strategy: 3-Phase Simulation
06:25 Clean Java Solution Walkthrough Line by Line
07:57 Dry Run & Step-by-Step Example 2 Trace (98-Day Milestone)
10:14 Time Complexity Analysis (O(N log N) - 25 ms, Beats 96.8%)
11:13 Space Complexity Analysis (O(N) Auxiliary Space)
11:54 Day 1 Wrap-up & Channel Resources

πŸ“‚ Problem Folder & Detailed Documentation:
https://github.com/CodeByTushu/CodeByTushu-LeetCode-Solutions/tree/main/solutions/April/01-April/2751-Robot-Collisions

β˜• Java Solution:
https://github.com/CodeByTushu/CodeByTushu-LeetCode-Solutions/blob/main/solutions/April/01-April/2751-Robot-Collisions/Solution.java

🐍 Python Solution:
https://github.com/CodeByTushu/CodeByTushu-LeetCode-Solutions/blob/main/solutions/April/01-April/2751-Robot-Collisions/solution.py

⚑ C++ Solution:
https://github.com/CodeByTushu/CodeByTushu-LeetCode-Solutions/blob/main/solutions/April/01-April/2751-Robot-Collisions/solution.cpp

🌐 JavaScript Solution:
https://github.com/CodeByTushu/CodeByTushu-LeetCode-Solutions/blob/main/solutions/April/01-April/2751-Robot-Collisions/solution.js

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πŸ’¬ Question of the Day

Why can two robots moving in the same direction (both Left or both Right) never collide with each other?

1️⃣ Because all robots move simultaneously at the exact same speed
2️⃣ Because robots moving in the same direction repel each other
3️⃣ Because their coordinate positions are always non-adjacent
4️⃣ Because they only collide if their health values are unequal

#LeetCode2751 #LeetCode #RobotCollisions #Java #JavaDSA #Stack #Sorting #Simulation #DSA #CodingInterview #ProblemSolving #LeetCodeHard #DailyLeetCode #JavaProgramming #CodeByTushu

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