Suppose that you have n objects that are completely identical except that one is slightly heavier. The problem P is to find the heavier object. You have a scale. A single operation consists of placing any two disjoint sets of the objects the two sides of the scale. If one side is heavier, then the scale tips over. Give matching upper and lower bounds for this problem

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Polynomial Time

The problems for which the deterministic polynomial-time algorithm exists belong to the complexity class (p) and it is central in the field of computational complexity theory. According to Cobham’s thesis, polynomial time is a synonym for “feasible”, “fast”, and “efficient”.