Solution: Maximum Number of Visible Points

Understand how to calculate angles between points and an observer's location to determine visibility within a given field of view. Learn to use sorting and a two pointers approach to efficiently find the maximum number of points visible at once. This lesson covers angle calculations, handling edge cases, and optimizing with geometry concepts.

We'll cover the following...

Statement
Solution
- Time complexity
- Space complexity

Statement

You are provided with an array, points, an integer angle, and your location, where points[i] = [x_i, y_i] and location = [pos_x, pos_y], both representing integer coordinatesInteger coordinates refer to points on a plane where x and y values are whole numbers. on the X-Y plane.

You initially face directly east from your fixed location and cannot move. In other words, pos_x and pos_y cannot be changed. However, you can rotate to adjust your viewing direction. Your field of view, measured in degrees, is specified by the angle, representing the width of visibility. If you rotate counterclockwise by an angle $d$ , your visible field spans the inclusive range of angles $[d-\frac{angle}{2}, d+\frac{angle}{2}]$ ...