Maximum Number of Visible Points

Explore how to determine the maximum number of points visible from a fixed location on the X-Y plane given a specific viewing angle. Understand angle calculations, coordinate geometry, and methods to optimize visibility checks through rotation. This lesson helps you apply math and geometry principles to solve visibility and field-of-view coding challenges.

We'll cover the following...

Statement
Examples
Understand the problem
Figure it out!
Try it yourself

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 $[d - \frac{a n g l e}{2}, d + \frac{a n g l e}{2}]$ ...