An ordered stack is a data structure that stores a sequence of items and supports the...

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An ordered stack is a data structure that stores a sequence of items and supports the following operations. • ORDEREDPUSH(x) removes all items smaller than x from the beginning of the sequence and then adds x to the beginning of the sequence. • Pop deletes and returns the first item in the sequence (or NULL if the sequence is empty). Suppose we implement an ordered stack with a simple linked list, using the obvious ORDEREDPUSH and Pop algorithms. Prove that if we start with an empty data structure, the amortized cost of each ORDEREDPUSH or POP operation is 0(1). An ordered stack is a data structure that stores a sequence of items and supports the following operations. • ORDEREDPUSH(x) removes all items smaller than x from the beginning of the sequence and then adds x to the beginning of the sequence. • Pop deletes and returns the first item in the sequence (or NULL if the sequence is empty). Suppose we implement an ordered stack with a simple linked list, using the obvious ORDEREDPUSH and Pop algorithms. Prove that if we start with an empty data structure, the amortized cost of each ORDEREDPUSH or POP operation is 0(1).

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To prove the amortized cost of each ORDEREDPUSH or POP operation is O1 we need to show that the tota... View the full answer