Background :Bubble Sort is the simplest sorting algorithm that works by repeatedly swapping the adjacent elements if they are in wrong order.Following is iterative Bubble sort algorithm :
// Iterative Bubble Sort
bubbleSort(arr[], n)
{
for (i = 0; i < n-1; i++)
// Last i elements are already in place
for (j = 0; j arr[j+1])
swap(arr[j], arr[j+1]);
}
Recursion Idea.
- Base Case: If array size is 1, return.
- Do One Pass of normal Bubble Sort. This pass fixes last element of current subarray.
- Recur for all elements except last of current subarray.
// Java program for recursive implementation
// of Bubble sort
import java.util.Arrays;
public class GFG
{
// A function to implement bubble sort
static void bubbleSort(int arr[], int n)
{
// Base case
if (n == 1)
return;
// One pass of bubble sort. After
// this pass, the largest element
// is moved (or bubbled) to end.
for (int i=0; i<n-1; i++)
if (arr[i] > arr[i+1])
{
// swap arr[i], arr[i+1]
int temp = arr[i];
arr[i] = arr[i+1];
arr[i+1] = temp;
}
// Largest element is fixed,
// recur for remaining array
bubbleSort(arr, n-1);
}
// Driver Method
public static void main(String[] args)
{
int arr[] = {64, 34, 25, 12, 22, 11, 90};
bubbleSort(arr, arr.length);
System.out.println("Sorted array : ");
System.out.println(Arrays.toString(arr));
}
}
Time Complexity: O(n2) where n is the size of the array.
Auxiliary Space: O(1)
Please refer complete article on Recursive Bubble Sort for more details!