Choose one favorite problem we have studied in this course (or related to the concepts we…

Choose one favorite problem we have studied in this course (or related to the concepts we studied). Study the problem and the algorithm to solve the problem well enough that you can answer the following questions WITHOUT the help of the Internet, Friends, or any other resources. 1. Explain (state) the problem you have chosen clearly. Do NOT choose the Minimum Spanning Problem. 2. Now define an “algorithm” in general. Then, explain the algorithm that solves your selected problem USING YOUR OWN WORDS. DO NOT COPY AND PASTE from somewhere. Write your understanding of the algorithm. (English description or pseudocode. No code!). Always provide the most efficient algorithm that you can write. 3. Analyze the time complexity of the algorithm in part 2 in the worst-case based on YOUR understanding. If the algorithm is recursive, write the recurrence relation first and then express that in Big-O notation. 4. Define what the meaning of a polynomial-time complexity algorithm is. Then discuss if your algorithm explained in step (2) above is polynomial or not? Justify. 5. Assume we have an algorithm that takes O(log n) time. Is this algorithm a polynomial-time algorithm? Justify your answer.

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