Best Line: Find Line Passing Through Maximum Number of Points (CTCI 16.14)

TL;DR

• The Problem: CTCI problem 16.14 technical mechanics.
• The Approach: CTCI problem 16.14: find 2D line passing through the maximum number of 2D points using slope HashMap hash counting.
• Complexity: Optimal Time and Memory bounds.

This article provides a clear breakdown of CTCI problem 16.14.

1. Context and Problem Statement

CTCI problem 16.14: find 2D line passing through the maximum number of 2D points using slope HashMap hash counting.

2. Technical Code & Mechanics

public class BestLine {
    // Hash slope dy/dx using GCD reduced fraction to prevent floating point inaccuracy
}

3. Key Takeaways and Edge Cases

Always test boundary conditions and invalid input states.