This is a java program to sort the numbers using the Bubble Sort Technique. The algorithm goes with the name, generally used to sort numbers in the ascending order. The smallest numbers bubbles up at each iteration of the sort. The time complexity of the algorithm is O(n^2).

Here is the source code of the Java Program to Implement Bubble Sort. The Java program is successfully compiled and run on a Windows system. The program output is also shown below.

`//This is a java program to sort numbers using bubble sort`

import java.util.Random;

public class Bubble_Sort

`{`

static int[] sort(int[] sequence)

`{`

`// Bubble Sort`

for (int i = 0; i < sequence.length; i++)

for (int j = 0; j < sequence.length - 1; j++)

if (sequence[j] > sequence[j + 1])

`{`

sequence[j] = sequence[j] + sequence[j + 1];

sequence[j + 1] = sequence[j] - sequence[j + 1];

sequence[j] = sequence[j] - sequence[j + 1];

`}`

return sequence;

`}`

static void printSequence(int[] sorted_sequence)

`{`

for (int i = 0; i < sorted_sequence.length; i++)

System.out.print(sorted_sequence[i] + " ");

`}`

public static void main(String args[])

`{`

System.out

.println("Sorting of randomly generated numbers using BUBBLE SORT");

Random random = new Random();

int N = 20;

int[] sequence = new int[N];

for (int i = 0; i < N; i++)

sequence[i] = Math.abs(random.nextInt(1000));

System.out.println("\nOriginal Sequence: ");

printSequence(sequence);

System.out.println("\nSorted Sequence: ");

printSequence(sort(sequence));

`}`

`}`

Output:

$ javac Binary_Counting_Subsets.java $ java Binary_Counting_Subsets $ javac Bubble_Sort.java $ java Bubble_Sort Sorting of randomly generated numbers using BUBBLE SORT Original Sequence: 307 677 574 88 325 851 676 357 172 932 166 450 60 538 964 987 706 690 919 518 Sorted Sequence: 60 88 166 172 307 325 357 450 518 538 574 676 677 690 706 851 919 932 964 987

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