# 1620. Coordinate With Maximum Network Quality

https://leetcode.com/problems/coordinate-with-maximum-network-quality

## Description

You are given an array of network towers `towers`, where `towers[i] = [xi, yi, qi]` denotes the `ith` network tower with location `(xi, yi)` and quality factor `qi`. All the coordinates are **integral coordinates** on the X-Y plane, and the distance between the two coordinates is the **Euclidean distance**.

You are also given an integer `radius` where a tower is **reachable** if the distance is **less than or equal to** `radius`. Outside that distance, the signal becomes garbled, and the tower is **not reachable**.

The signal quality of the `ith` tower at a coordinate `(x, y)` is calculated with the formula `⌊qi / (1 + d)⌋`, where `d` is the distance between the tower and the coordinate. The **network quality** at a coordinate is the sum of the signal qualities from all the **reachable** towers.

Return _the array_ `[cx, cy]` _representing the **integral** coordinate_ `(cx, cy)` _where the **network quality** is maximum. If there are multiple coordinates with the same **network quality**, return the lexicographically minimum **non-negative** coordinate._

**Note:**

* A coordinate `(x1, y1)` is lexicographically smaller than `(x2, y2)` if either:
  * `x1 < x2`, or
  * `x1 == x2` and `y1 < y2`.
* `⌊val⌋` is the greatest integer less than or equal to `val` (the floor function).

**Example 1:**

![](https://assets.leetcode.com/uploads/2020/09/22/untitled-diagram.png)

```
**Input:** towers = [[1,2,5],[2,1,7],[3,1,9]], radius = 2
**Output:** [2,1]
**Explanation:** At coordinate (2, 1) the total quality is 13.
- Quality of 7 from (2, 1) results in ⌊7 / (1 + sqrt(0)⌋ = ⌊7⌋ = 7
- Quality of 5 from (1, 2) results in ⌊5 / (1 + sqrt(2)⌋ = ⌊2.07⌋ = 2
- Quality of 9 from (3, 1) results in ⌊9 / (1 + sqrt(1)⌋ = ⌊4.5⌋ = 4
No other coordinate has a higher network quality.
```

**Example 2:**

```
**Input:** towers = [[23,11,21]], radius = 9
**Output:** [23,11]
**Explanation:** Since there is only one tower, the network quality is highest right at the tower's location.
```

**Example 3:**

```
**Input:** towers = [[1,2,13],[2,1,7],[0,1,9]], radius = 2
**Output:** [1,2]
**Explanation:** Coordinate (1, 2) has the highest network quality.
```

**Example 4:**

```
**Input:** towers = [[2,1,9],[0,1,9]], radius = 2
**Output:** [0,1]
**Explanation:** Both (0, 1) and (2, 1) are optimal in terms of quality, but (0, 1) is lexicographically minimal.
```

**Example 5:**

```
**Input:** towers = [[42,0,0]], radius = 7
**Output:** [0,0]
**Explanation:** The network quality is 0 at every coordinate, even at the tower's location.
Thus, the lexicographically minimum non-negative coordinate is (0, 0).
```

**Constraints:**

* `1 <= towers.length <= 50`
* `towers[i].length == 3`
* `0 <= xi, yi, qi <= 50`
* `1 <= radius <= 50`

## ac

```java
```
