BogoSort also known as permutation sort, stupid sort, slow sort, shotgun sort or monkey sort is a particularly ineffective algorithm based on generate and test paradigm. The algorithm successively generates permutations of its input until it finds one that is sorted.(Wiki)
For example, if bogosort is used to sort a deck of cards, it would consist of checking if the deck were in order, and if it were not, one would throw the deck into the air, pick the cards up at random, and repeat the process until the deck is sorted.
PseudoCode:
while not Sorted(list) do
shuffle (list)
done
Java
// Java Program to implement BogoSortpublic class BogoSort { // Sorts array a[0..n-1] using Bogo sort void bogoSort(int[] a) { // if array is not sorted then shuffle the // array again while (isSorted(a) == false) shuffle(a); } // To generate permutation of the array void shuffle(int[] a) { // Math.random() returns a double positive // value, greater than or equal to 0.0 and // less than 1.0. for (int i = 0; i < a.length; i++) swap(a, i, (int)(Math.random() * i)); } // Swapping 2 elements void swap(int[] a, int i, int j) { int temp = a[i]; a[i] = a[j]; a[j] = temp; } // To check if array is sorted or not boolean isSorted(int[] a) { for (int i = 1; i < a.length; i++) if (a[i] < a[i - 1]) return false; return true; } // Prints the array void printArray(int[] arr) { for (int i = 0; i < arr.length; i++) System.out.print(arr[i] + " "); System.out.println(); } public static void main(String[] args) { // Enter array to be sorted here int[] a = { 3, 2, 5, 1, 0, 4 }; BogoSort ob = new BogoSort(); ob.bogoSort(a); System.out.print("Sorted array: "); ob.printArray(a); }} |
Sorted array: 0 1 2 3 4 5
Time Complexity:
Worst Case: O(∞) (since this algorithm has no upper bound)
Average Case: O(n*n!)
Best Case: O(n)(when the array given is already sorted)
Auxiliary Space: O(1)
Please refer complete article on BogoSort or Permutation Sort for more details!
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