Multithreaded Merge Sort:

Merge Sort is a classic divide-and-conquer sorting algorithm. When implemented in a multithreaded fashion, the sorting process can be parallelized, potentially improving overall performance. Here's a step-by-step explanation of multithreaded Merge Sort:

Algorithm Overview:

Base Case: If the array has one element or is empty, it is already sorted.

Divide: Split the array into two halves.

Multithreaded Recursion: Recursively apply Merge Sort on each half concurrently using multiple threads.

Merge: Combine the sorted halves into a single sorted array.

Example with Two Threads:

Consider the array: [38, 27, 43, 3, 9, 82, 10]

 

 

Step-by-Step Execution:

Initial Array: [38, 27, 43, 3, 9, 82, 10]

STEP 1(Divide): Split the array into two halves: [38, 27, 43] and [3, 9, 82, 10]

STEP 2(Multithreaded Recursion): Two threads are created, each sorting one of the divided halves.

-Thread 1 (Sorting [38, 27, 43]):

[27, 38, 43]

-Thread 2 (Sorting [3, 9, 82, 10]):

[3, 9, 10, 82]

STEP 3(Merge): Combine the sorted halves into a single sorted array.

[3, 9, 10, 27, 38, 43, 82]

The final sorted array is achieved by merging the results from the two threads.