How to Solve Queries on Number of Points Inside a Circle Problem
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Queries on Number of Points Inside a Circle
You are given an array points where points[i] = [xi, yi] is the coordinates of the ith point on a 2D plane. Multiple points can have the same coordinates. You are also given an array queries where que...
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Understanding the Queries on Number of Points Inside a Circle Problem
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Problem Statement
You are given an array points where points[i] = [xi, yi] is the coordinates of the ith point on a 2D plane. Multiple points can have the same coordinates. You are also given an array queries where queries[j] = [xj, yj, rj] describes a circle centered at (xj, yj) with a radius of rj. For each query queries[j], compute the number of points inside the jth circle. Points on the border of the circle are considered inside. Return an array answer, where answer[j] is the answer to the jth query.
Queries on Number of Points Inside a Circle
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Examples
points = [[1,3],[3,3],[5,3],[2,2]], queries = [[2,3,1],[4,3,1],[1,1,2]]
[3,2,2]
The points and circles are shown above. queries[0] is the green circle, queries[1] is the red circle, and queries[2] is the blue circle.
points = [[1,1],[2,2],[3,3],[4,4],[5,5]], queries = [[1,2,2],[2,2,2],[4,3,2],[4,3,3]]
[2,3,2,4]
The points and circles are shown above. queries[0] is green, queries[1] is red, queries[2] is blue, and queries[3] is purple.
Constraints
1 <= points.length <= 500
points[i].length == 2
0 <= xi, yi <= 500
1 <= queries.length <= 500
queries[j].length == 3
0 <= xj, yj <= 500
1 <= rj <= 500
All coordinates are integers.
Follow up: Could you find the answer for each query in better complexity than O(n)?
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