This is a java program to sort an elements in order n time. Bucket sort can be used to achieve this goal. Bucket sort is O(n) algorithm in time but takes more space, than the normal algorithms.

Here is the source code of the Java Program to Implement Sorting of Less than 100 Numbers in O(n) Complexity. 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 less than 100 in O(n) time`

`//Bucket sort is O(n) algorithm`

import java.util.Random;

public class Order_n_Sorting_Algorithm

`{`

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 O(n) BUCKET SORT algorithm");

Random random = new Random();

int N = 25;

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 Order_n_Sorting_Algorithm.java $ java Order_n_Sorting_Algorithm Sorting of randomly generated numbers using O(n) BUCKET SORT algorithm Original Sequence: 43 50 28 1 80 8 77 92 55 44 15 42 47 98 44 12 78 36 73 57 86 36 11 35 51 Sorted Sequence: 1 8 11 12 15 28 35 36 36 42 43 44 44 47 50 51 55 57 73 77 78 80 86 92 98

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