The attached file Q5.txt contains 100,000 integers between 1 and 100,000 (each row has a single integer), the order of these integers is random and no integer is repeated. 1. Write a program to implement the Sort-and-Count algorithms in your favorite language, find the number of inversions in the given file. 2. In the lecture, we count the number of inversions in O(n log n) time, using the Merge-Sort idea. Is it possible to use the Quick-Sort idea instead ? If possible, implement the algorithm in your favourite language, run it over the given file, and compare its running time with the one above. If not, give a explanation.

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