Java Program for Stooge Sort

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The Stooge sort is a recursive sorting algorithm. It is defined as below (for ascending order sorting).

Step 1 : If value at index 0 is greater than
         value at last index, swap them.
Step 2:  Recursively,
       a) Stooge sort the initial 2/3rd of the array.
       b) Stooge sort the last 2/3rd of the array.
       c) Stooge sort the initial 2/3rd again to confirm.

Java

// Java program to implement stooge sort 
import java.io.*; 
 
public class stooge 
{ 
 // Function to implement stooge sort 
 static void stoogesort(int arr[], int l, int h) 
 { 
  if (l >= h) 
  return; 
 
  // If first element is smaller 
  // than last,swap them 
  if (arr[l] > arr[h]) 
  { 
   int t = arr[l]; 
   arr[l] = arr[h]; 
   arr[h] = t; 
  } 
 
  // If there are more than 2 elements in 
  // the array 
  if (h-l+1 > 2) 
  { 
   int t = (h-l+1) / 3; 
 
   // Recursively sort first 2/3 elements 
   stoogesort(arr, l, h-t); 
 
   // Recursively sort last 2/3 elements 
   stoogesort(arr, l+t, h); 
 
   // Recursively sort first 2/3 elements 
   // again to confirm 
   stoogesort(arr, l, h-t); 
  } 
 } 
 
 // Driver Code 
 public static void main(String args[]) 
 { 
  int arr[] = {2, 4, 5, 3, 1}; 
  int n = arr.length; 
 
  stoogesort(arr, 0, n-1); 
 
  for (int i=0; i < n; i++) 
   System.out.print(arr[i] + " "); 
 } 
} 
// Code Contributed by Mohit Gupta_OMG <(0_o)> 

Output:

1 2 3 4 5

Time Complexity:
The running time complexity of stooge sort can be written as,
T(n) = 3T(3n/2) + O(1)
Solution of above recurrence is O(n(log3/log1.5)) = O(n^2.709), hence it is slower than even bubble sort(n²).
Auxiliary Space: O(n)

Please refer complete article on Stooge Sort for more details!

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