Package g1601_1700.s1620_coordinate_with_maximum_network_quality

Class Solution

  • All Implemented Interfaces:
    
public final class Solution

    1620 - Coordinate With Maximum Network Quality.

    Medium

    You are given an array of network towers towers, where <code>towersi = x<sub>i</sub>, y<sub>i</sub>, q<sub>i</sub></code> denotes the <code>i<sup>th</sup></code> network tower with location <code>(x<sub>i</sub>, y<sub>i</sub>)</code> and quality factor <code>q<sub>i</sub></code>. 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 <code>i<sup>th</sup></code> tower at a coordinate (x, y) is calculated with the formula <code>⌊q<sub>i</sub> / (1 + d)⌋</code>, 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 <code>c<sub>x</sub>, c<sub>y</sub></code> representing the integral coordinate <code>(c<sub>x</sub>, c<sub>y</sub>)</code> 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:

    • ⌊val⌋ 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 ⌊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.

    Constraints:

    • 1 &lt;= towers.length &lt;= 50

    • towers[i].length == 3

    • <code>0 <= x<sub>i</sub>, y<sub>i</sub>, q<sub>i</sub><= 50</code>

    • 1 &lt;= radius &lt;= 50

    • Nested Class Summary

      Nested Classes 
      Modifier and Type Class Description

    • Field Summary

      Fields 
      Modifier and Type Field Description

    • Constructor Summary

      Constructors 
      Constructor Description
      Solution()

    • Enum Constant Summary

      Enum Constants 
      Enum Constant Description

    • Method Summary

      Modifier and Type Method Description
      final IntArray bestCoordinate(Array<IntArray> towers, Integer radius)

      • Methods inherited from class java.lang.Object

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