Question: Consider the following scenario and then develop an algorithm to solve it: a) Suppose you have 9 coins and one of them is heavier than

Consider the following scenario and then develop an algorithm to solve it:

a) Suppose you have 9 coins and one of them is heavier than others. Other 8 coins weight equally. You are also given a balance. Develop and algorithm to determine the heavy coin using only two measurements using the balance.

b) Now, suppose you have n coins and one of them is heavier. You can assume that n is a power of 3. Generalize the algorithm you have developed in part (a) above for this case. What is the running time of your algorithm?

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