# 1828. Queries on Number of Points Inside a Circle

<https://leetcode.com/problems/queries-on-number-of-points-inside-a-circle>

## Description

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*.

**Example 1:**

![](https://assets.leetcode.com/uploads/2021/03/25/chrome_2021-03-25_22-34-16.png)

```
**Input:** points = [[1,3],[3,3],[5,3],[2,2]], queries = [[2,3,1],[4,3,1],[1,1,2]]
**Output:** [3,2,2]
**Explanation:** 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.
```

**Example 2:**

![](https://assets.leetcode.com/uploads/2021/03/25/chrome_2021-03-25_22-42-07.png)

```
**Input:** points = [[1,1],[2,2],[3,3],[4,4],[5,5]], queries = [[1,2,2],[2,2,2],[4,3,2],[4,3,3]]
**Output:** [2,3,2,4]
**Explanation:** 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 <= x​​​​​​i, y​​​​​​i <= 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)`?

## ac

```java
```


---

# Agent Instructions: Querying This Documentation

If you need additional information that is not directly available in this page, you can query the documentation dynamically by asking a question.

Perform an HTTP GET request on the current page URL with the `ask` query parameter:

```
GET https://jaywin.gitbook.io/leetcode/solutions/1828-queries-on-number-of-points-inside-a-circle.md?ask=<question>
```

The question should be specific, self-contained, and written in natural language.
The response will contain a direct answer to the question and relevant excerpts and sources from the documentation.

Use this mechanism when the answer is not explicitly present in the current page, you need clarification or additional context, or you want to retrieve related documentation sections.
