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]
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
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
Step by step
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d) Prepare a brief report (250 words) comparing the two
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