You are given a list of randomly arranged numbers, for example (11,7,18,5,17,13). The triple (11,7, 5) is called the "inversion triple" because (5<7<11) in terms of value, while the index of 5 in the list is greater than the index of 7, and the index of 7 is greater than 11. Therefore, we can find 2 inversions in such list as follows: (11,7,5), and (18,17,13). Your main task is to find the total number of inversions in any given list.  a) Design a brute-force algorithm to return the number of possible inversions, and  analyse the complexity of your solution b) Develop a python code to implement your brute-force algorithm.  [The  marks depend on the correctness of the code, indentation, comments, test-case]  c) Design a more efficient algorithm to do the same task with less complexity, and  analyse the complexity of your solution.  [Important instruction to be followed: Create an arbitrary unsorted list of 8 characters and use it to provide full explanation of how your proposed algorithm should work  step by step]

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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You are given a list of randomly arranged numbers, for example (11,7,18,5,17,13). The triple (11,7, 5) is called the "inversion triple" because (5<7<11) in terms of value, while the index of 5 in the list is greater than the index of 7, and the index of 7 is greater than 11. Therefore, we can find 2 inversions in such list as follows: (11,7,5), and (18,17,13). Your main task is to find the total number of inversions in any given list. 

a) Design a brute-force algorithm to return the number of possible inversions, and 
analyse the complexity of your solution

b) Develop a python code to implement your brute-force algorithm.  [The 
marks depend on the correctness of the code, indentation, comments, test-case] 

c) Design a more efficient algorithm to do the same task with less complexity, and 
analyse the complexity of your solution.  [Important instruction to be followed: Create an arbitrary unsorted list of 8 characters and use it to provide full explanation of how your proposed algorithm should work 
step by step]

 d) Prepare a brief report (250 words) comparing the two algorithms

 

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 d) Prepare a brief report (250 words) comparing the two algorithms

 

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