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Amortized Analysis

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Worst Case vs Amortized Cost

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The Worst Case cost refers to the maximum cost of a single operation, whereas the Amortized Cost considers the average cost per operation over a series of operations. Amortized analysis assures that the high cost of some operations is balanced by the lower cost of others.

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Accountant's Method

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The Accountant's Method, similar to Banker's, is a method of assigning charges to operations such that cheap operations are charged more than their actual cost to cover the cost of expensive operations over time.

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Potential Method

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The Potential Method of amortized analysis assigns a 'potential' to the data structure, which changes based on the operations performed. The potential 'stores' cost from cheap operations to 'pay' for future expensive operations.

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Banker's Method

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The Banker's Method is an approach to amortized analysis that assigns a certain number of 'credits' or 'tokens' to data structure operations to pay for more expensive future operations. It's like saving up for infrequent but costly events.

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Amortized Cost

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Amortized Cost is the average cost per operation over a worst-case sequence of operations. It is a measure that takes into account both inexpensive and expensive operations over time.

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Aggregate Analysis

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Aggregate Analysis is a method of amortized analysis where we analyze a sequence of operations and determine the total cost for all operations, then divide it by the number of operations to find an average cost per operation.

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Amortized Analysis

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Amortized Analysis is a technique used in algorithms to show that although a single operation might be expensive, the average cost over a sequence of operations is low. It is particularly useful for understanding the performance of algorithms where operations have variable costs.

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