Analyze the sorting algorithms, including merge sort, insertion sort, bubble sort,  and selection sort For each algorithm, briefly describe how it works and its worst-case time complexity. Implement each algorithm in Java.

Create four methods named insertionSort(), bubblesort(), mergesort() and quicksort(). Implement the sorting algorithms in the corresponding methods. In the main method, create four arrays a, b, c, d and initialize them with the same values. Pass these four arrays in four different functions. Create four instance variables named insertionSwap, bubbleSwap, countMerge, and countQuickSort and initialize them to 0. In methods insertionSort(), bubblesort() and quicksort(), increment the variables insertionSwap, bubbleSwap, and countQuickSort respectively by one whenever they call the method swap(). In method mergesort(), increment the variable countMerge by one to count the swaps. Use method swap() to swap the values.