Problem

(All closest pairs of points) Revise Listing 1, FindNearestPoints.java, to display all clo...

(All closest pairs of points) Revise Listing 1, FindNearestPoints.java, to display all closest pairs of points with the same minimum distance. Here is a sample run:

LISTING 1 FindNearestPoints.java

1 import java.util.Scanner;

2

3 public class FindNearestPoints {

4 public static void main(String[] args) {

5 Scanner input = new Scanner(System.in);

6 System.out.print("Enter the number of points: ");

7 int numberOfPoints = input.nextInt();

8

9 // Create an array to store points

10 double[][] points = new double[numberOfPoints][2];

11 System.out.print("Enter " + numberOfPoints + " points: ");

12 for (int i = 0; i

13 points[i][0] = input.nextDouble();

14 points[i][1] = input.nextDouble();

15 }

16

17 // p1 and p2 are the indices in the points' array

18 int p1 = 0, p2 = 1; // Initial two points

19 double shortestDistance = distance(points[p1][0], points[p1][1],

20 points[p2][0], points[p2][1]); // Initialize shortestDistance

21

22 // Compute distance for every two points

23 for (int i = 0; i

24 for (int j = i + 1; j

25 double distance = distance(points[i][0], points[i][1],

26 points[j][0], points[j][1]); // Find distance

27

28 if (shortestDistance > distance) {

29 p1 = i; // Update p1

30 p2 = j; // Update p2

31 shortestDistance = distance; // Update shortestDistance

32 }

33 }

34 }

35

36 // Display result

37 System.out.println("The closest two points are " +

38 "(" + points[p1][0] + ", " + points[p1][1] + ") and (" +

39 points[p2][0] + ", " + points[p2][1] + ")");

40 }

41

42 /** Compute the distance between two points (x1, y1) and (x2, y2)*/

43 public static double distance(

44 double x1, double y1, double x2, double y2) {

45 return Math.sqrt((x2 - x1) * (x2 - x1) + (y2 - y1) * (y2 - y1));

46 }

47 }

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