Package g1601_1700.s1620_coordinate_with_maximum_network_quality

Class Solution

java.lang.Object
g1601_1700.s1620_coordinate_with_maximum_network_quality.Solution
public class Solution extends java.lang.Object
1620 - Coordinate With Maximum Network Quality.

Medium

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 \u230aqi / (1 + d)\u230b, 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.
  • \u230aval\u230b is the greatest integer less than or equal to val (the floor function).

Example 1:

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 \u230a7 / (1 + sqrt(0)\u230b = \u230a7\u230b = 7

  • Quality of 5 from (1, 2) results in \u230a5 / (1 + sqrt(2)\u230b = \u230a2.07\u230b = 2

  • Quality of 9 from (3, 1) results in \u230a9 / (1 + sqrt(1)\u230b = \u230a4.5\u230b = 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.

Constraints:

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

  • Constructor Summary

    Constructors
    Constructor
    Description
    Solution()
     

  • Method Summary

    Modifier and Type
    Method
    Description
    int[]
    bestCoordinate(int[][] towers, int radius)
     

    Methods inherited from class java.lang.Object

    clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

  • Constructor Details

    • Solution

      public Solution()

  • Method Details

    • bestCoordinate

      public int[] bestCoordinate(int[][] towers, int radius)