![]() In merge(), we create a new empty list sorted_array that will hold the sorted elements from left_half and right_half. ![]() The merge() function is used to merge the sorted halves back together. The main function in the algorithm, merge_sort(), is the d ivide-and-conquer part of the algorithm, which splits the input list into halves and recursively sorts each half. The doctests verify that the functions are correct and provide examples of how to use the functions. The implementation includes doctests, which are examples of how the functions should behave when given certain inputs. The merge_sort function uses the merge function to recursively sort the input list by dividing it into halves and sorting each half, then merging the sorted halves back together. The merge function is a helper function that takes two sorted sublists and merges them into a single sorted list. Additionally, the algorithm can be implemented efficiently using recursion, which makes it a powerful and versatile problem-solving strategy. By breaking down the problem into smaller sub-problems, the algorithm can reduce the complexity of the problem and make it easier to solve. The main advantage of the divide-and-conquer algorithm is that it can be used to solve problems that are too complex to be solved by other methods. Some well-known algorithms that use the divide-and-conquer strategy include: The divide-and-conquer algorithm is used in many different fields such as: Combine: The final step is to combine the solutions of the sub-problems into a solution to the original problem.This is usually done recursively by applying the same algorithm to each sub-problem. ![]()
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