1453. Maximum Number of Darts Inside of a Circular Dartboard

You have a very large square wall and a circular dartboard placed on the wall. You have been challenged to throw darts into the board blindfolded. Darts thrown at the wall are represented as an array of points on a 2D plane.

Return the maximum number of points that are within or lie on any circular dartboard of radius r.

Example 1:
Input: points = [[-2,0],[2,0],[0,2],[0,-2]], r = 2
Output: 4
Explanation: Circle dartboard with center in (0,0) and radius = 2 contain all points.
Example 2:
Input: points = [[-3,0],[3,0],[2,6],[5,4],[0,9],[7,8]], r = 5
Output: 5
Explanation: Circle dartboard with center in (0,4) and radius = 5 contain all points except the point (7,8).
Example 3:
Input: points = [[-2,0],[2,0],[0,2],[0,-2]], r = 1
Output: 1
Example 4:
Input: points = [[1,2],[3,5],[1,-1],[2,3],[4,1],[1,3]], r = 2
Output: 4
Constraints:

1 <= points.length <= 100

points[i].length == 2

-10^4 <= points[i][0], points[i][1] <= 10^4

1 <= r <= 5000

Solution

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