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Solution: Maximum Number of Visible Points

Explore how to determine the maximum number of visible points from a fixed position on the X-Y plane based on a given viewing angle. Learn to calculate angles formed by points relative to the observer, use sorting and a two-pointer approach to identify the largest subset visible within the field of view, and handle coincident points. This lesson enhances problem-solving skills in geometry and angle-based visibility challenges.

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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 [d−angle2,d+angle2][d-\frac{angle}{2}, d+\frac{angle}{2}] ...