How to get quicksort depth?

@deron 

To get the depth of a quicksort algorithm, you can modify the algorithm to include a depth parameter that tracks the number of recursive calls made during the sorting process.

You can start by setting the depth parameter to 0 before calling the quicksort function. Then, increment the depth parameter by 1 each time the quicksort function calls itself recursively. Finally, return the depth parameter at the end of the algorithm to get the total depth of the quicksort process.

Here is an example pseudo-code for getting the depth of a quicksort algorithm:

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function quicksort(arr, left, right, depth) {
    if left < right {
        pivot := partition(arr, left, right)
        quicksort(arr, left, pivot - 1, depth + 1)
        quicksort(arr, pivot + 1, right, depth + 1)
    }
    
    return depth
}

// Initialize depth parameter
depth = 0

// Call quicksort with the initial depth
result = quicksort(arr, 0, n-1, depth)

print("The depth of quicksort algorithm is: " + result)

By implementing this modification to the quicksort algorithm, you can easily track and get the depth of the sorting process.