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Solution: Max Points on a Line

Explore how to determine the maximum number of points on a single straight line by using slope calculations. Learn to identify collinear points through slope grouping with reference points, apply mathematical reasoning, and implement an efficient O(n²) algorithm for geometric coding challenges.

Statement

Given an integer array of points where points[i]=[xi,yi]\text{points}[i] = [x_i, y_i] represents a point on the X–Y plane, your task is to return the maximum number of points on the same straight line.

Constraints:

  • 11 \leq points.length 300\leq 300

  • points[i].length =2= 2

  • ...