solve both parts of the question(the entire problem). you! : Part I Write a recursive function named merge_sort that sorts a given list using the

solve both parts of the question(the entire problem). you! : Part I
Write a recursive function named merge_sort that sorts a given list using the recursive algorithm of merge sort. Implement and use the er function
_merge , which merges two sorted arrays.
Sample Output
> merge_sort([10, 32, 83, 2, 72, 100, 32])
[2, 10, 32, 32, ]
> merge_sort ( [‘a’,’g’,’a’, ‘t’,’e’])
[‘a’,’a’,’g’,’e’, ‘t’]
In [ ]: def _merge(P, Q):
“”merges two sorted arrays
INPUT:
* P, Q – the two sorted arrays
OUTPUT: a sorted list consisting of elements in P and Q
pass
In [ ]: def merge_sort(array):
“”sorts a given list
INPUT:
* array – the list
OUTPUT: a sorted copy of the list.
pass
Part II
Use a proof by induction to show that the function merge_sort will correctly sort any array of size n.
Proof
Type your answer here. Use to type LaTeX math expressions, e.g. p A q

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