This is a java program to sort the numbers using the Bucket Sort Technique. The algorithm allocates the number of memory locations equal to maximum number and initializes all to zero, then each location is incremented as the numbers appears. The time complexity of the algorithm is O(n).

Here is the source code of the Java Program to Implement Bucket 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 bucket sort`

import java.util.Random;

public class Bucket_Sort

`{`

static int[] sort(int[] sequence, int maxValue)

`{`

`// Bucket Sort`

int[] Bucket = new int[maxValue + 1];

int[] sorted_sequence = new int[sequence.length];

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

Bucket[sequence[i]]++;

int outPos = 0;

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

for (int j = 0; j < Bucket[i]; j++)

sorted_sequence[outPos++] = i;

return sorted_sequence;

`}`

static void printSequence(int[] sorted_sequence)

`{`

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

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

`}`

static int maxValue(int[] sequence)

`{`

int maxValue = 0;

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

if (sequence[i] > maxValue)

maxValue = sequence[i];

return maxValue;

`}`

public static void main(String args[])

`{`

System.out

.println("Sorting of randomly generated numbers using BUCKET 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(100));

int maxValue = maxValue(sequence);

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

printSequence(sequence);

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

printSequence(sort(sequence, maxValue));

`}`

`}`

Output:

$ javac Bucket_Sort.java $ java Bucket_Sort Sorting of randomly generated numbers using BUCKET SORT Original Sequence: 95 9 95 87 8 81 18 54 57 53 92 15 38 24 8 56 29 69 64 66 Sorted Sequence: 8 8 9 15 18 24 29 38 53 54 56 57 64 66 69 81 87 92 95 95

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