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Maximum Number of Visible Points

Explore how to calculate the maximum number of visible points from a fixed location on an X-Y plane given a viewing angle. Learn to analyze points, angles, and rotations to solve complex geometry problems effectively.

Statement

You are provided with an array, points, an integer angle, and your location, where points[i] = [xi, yi] and location = [posx, posy], 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, posx and posy 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 dd, your visible field spans the inclusive range of angles [dangle2,d+angle2][d-\frac{angle}{2}, d+\frac{angle}{2}] ...