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A sequence of n operations is performed on a data structure. The ith operation costs if i is an exact power of 2, and 1

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A sequence of n operations is performed on a data structure. The ith operation costs if i is an exact power of 2, and 1 otherwise. That is, operation i costs f(i), where f(i) = i, if i-2k for some k 0, and f (i) - 1 otherwise. Determine the amortized cost per operation using the following methods of analysis: (a) Aggregate method (b) Accounting method (c) Potential method A sequence of n operations is performed on a data structure. The ith operation costs if i is an exact power of 2, and 1 otherwise. That is, operation i costs f(i), where f(i) = i, if i-2k for some k 0, and f (i) - 1 otherwise. Determine the amortized cost per operation using the following methods of analysis: (a) Aggregate method (b) Accounting method (c) Potential method

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