Step by Step solution about How to resolve the algorithm Sorting algorithms/Stooge sort step by step in the JavaScript programming language

The provided JavaScript code implements the Stooge sort algorithm, an inefficient sorting algorithm based on the divide-and-conquer approach. Here's a detailed explanation:

1. Function Definition (stoogeSort):

   • The stoogeSort function takes three parameters: array, i, and j.
   • If j is undefined, it defaults to the last index of the array (array.length - 1).
   • If i is undefined, it defaults to 0.

2. Base Case:

   • If j is less than or equal to i, the base case is met, and the function returns. This means the subarray is of length 0 or 1 and is considered sorted.

3. Swapping Elements:

   • The function compares the elements at indices i and j. If the element at j is less than the element at i, it swaps them using a temporary variable aux. This step ensures that the largest element is moved to the end of the subarray.

4. Recursive Calls:

   • If the length of the subarray (j - i) is greater than 1, the function makes three recursive calls:

     • stoogeSort(array, i, j-t): Recursive call on the left part of the subarray.
     • stoogeSort(array, i+t, j): Recursive call on the right part of the subarray.
     • stoogeSort(array, i, j-t): Recursive call on the left part of the subarray again.

   • The value of t is calculated as Math.floor((j - i + 1) / 3). This ensures that the subarrays are divided into three parts with approximately equal lengths, aiming for a balanced recursion.

5. Example Usage:

   • An example array arr is initialized with unsorted elements.
   • The stoogeSort function is called with the array as the input.
   • The sorted array is printed to the console.

The Stooge sort is an inefficient sorting algorithm with a time complexity of O(n^2.7), making it impractical for large datasets. It is provided here for educational purposes to illustrate the divide-and-conquer approach in sorting.

function stoogeSort (array, i, j) {
    if (j === undefined) {
        j = array.length - 1;
    }

    if (i === undefined) {
        i = 0;
    }

    if (array[j] < array[i]) {
        var aux = array[i];
        array[i] = array[j];
        array[j] = aux;
    }

    if (j - i > 1) {
        var t = Math.floor((j - i + 1) / 3);
        stoogeSort(array, i, j-t);
        stoogeSort(array, i+t, j);
        stoogeSort(array, i, j-t);
    }
};


arr = [9,1,3,10,13,4,2];
stoogeSort(arr);
console.log(arr);