You are given an array `points`

where `points[i] = [x`

is the coordinates of the _{i}, y_{i}]`i`

point on a 2D plane. Multiple points can have the ^{th}**same** coordinates.

You are also given an array `queries`

where `queries[j] = [x`

describes a circle centered at _{j}, y_{j}, r_{j}]`(x`

with a radius of _{j}, y_{j})`r`

._{j}

For each query `queries[j]`

, compute the number of points **inside** the `j`

circle. Points ^{th}**on the border** of the circle are considered **inside**.

Return *an array *`answer`

*, where *`answer[j]`

* is the answer to the *`j`

^{th}* query*.

**Example 1:**

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:**

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 <= x`

_{j}, y_{j}<= 500`1 <= r`

_{j}<= 500- All coordinates are integers.

**Follow up:** Could you find the answer for each query in better complexity than `O(n)`

?

```
struct Solution;
impl Solution {
fn count_points(points: Vec<Vec<i32>>, queries: Vec<Vec<i32>>) -> Vec<i32> {
queries.into_iter().map(|q| query(&points, q)).collect()
}
}
fn query(points: &[Vec<i32>], q: Vec<i32>) -> i32 {
let r2 = q[2] * q[2];
let mut res = 0;
for p in points {
let dx = p[0] - q[0];
let dy = p[1] - q[1];
if dx * dx + dy * dy <= r2 {
res += 1;
}
}
res
}
#[test]
fn test() {
let points = vec_vec_i32![[1, 3], [3, 3], [5, 3], [2, 2]];
let queries = vec_vec_i32![[2, 3, 1], [4, 3, 1], [1, 1, 2]];
let res = vec![3, 2, 2];
assert_eq!(Solution::count_points(points, queries), res);
let points = vec_vec_i32![[1, 1], [2, 2], [3, 3], [4, 4], [5, 5]];
let queries = vec_vec_i32![[1, 2, 2], [2, 2, 2], [4, 3, 2], [4, 3, 3]];
let res = vec![2, 3, 2, 4];
assert_eq!(Solution::count_points(points, queries), res);
}
```