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There are n marble balls, one of which is made of a different material. You have...

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Programming

There are n marble balls, one of which is made of a differentmaterial. You have access to a Comparator that can compare twoinputs (of an arbitrary number of marble balls) and determine ifthe two inputs are the same or not. The problem is to find thesingle marble ball that is different from the others whileminimizing the number of times you access the Comparator. Design anefficient algorithm based on prune-and-search to solve the problem.Derive the time complexity of your algorithm

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3.5 Ratings (402 Votes)
Algorithm 1 Divide n in three equal groups if n is divisible by 3 11 If n gives remainder 1 on dividing by 3 compare this extra marble with any other marble and if they are same remove this extra marble if not take any other marble and compare this extra marble with this If both are    See Answer
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