# Software Algorithms and Implementation

Please see the attached file.

Give the order of each of the following functions.

TA(n) = 200(n +4)3

TB(n)= n4 + 300n3log2(n)

TC(n)=(2n +3)2log3(n)

Suppose that each is the time efficiency function of an implementation of the same function (TA(n) for implementation A, and so on). Which of the implementations (A, B or C) will be the most efficient for very large values of n? Please explain.

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#### Solution Summary

This solution finds the most efficient algorithm for the implementations and the most efficient solutions for very large values of N. Full workings are included and the final answer is identified.

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