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.
CPP
// C++ code to implement stooge sort#include <iostream>using namespace std;// Function to implement stooge sortvoid 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]) swap(arr[l], arr[h]); // 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 Codeint main(){ int arr[] = {2, 4, 5, 3, 1}; int n = sizeof(arr)/sizeof(arr[0]); // Calling Stooge Sort function to sort // the array stoogesort(arr, 0, n-1); // Display the sorted array for (int i=0; i<n; i++) cout << arr[i] << " "; return 0;} |
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(n2.709), 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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