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Amortized Analysis
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Worst Case vs Amortized Cost
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.
Accountant's Method
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.
Potential Method
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.
Banker's Method
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.
Amortized Cost
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.
Aggregate Analysis
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.
Amortized Analysis
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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