a) Describe how a brute-force approach algorithm would solve the above problem (6marks), and explain its complexity (4marks).
b)Design a more efficient algorithm to solve this problem. (10marks) [The efficiency of your algorithm is the main driver of the mark], and analyze the complexity of your solution.(4marks)[full explanation of your answer should be provided]
c)Develop a python code to implement your efficient algorithm. (10marks) [The marks depend on the correctness of the code, indentation, comments, test-case]
d)Prepare a brief report (250 words) comparing the two algorithms(6marks)
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