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Use amortized analysis to give a bound on the worst-case running time of a sequence of n operations on the following data structure X: 1)
Use amortized analysis to give a bound on the worst-case running time of a sequence of n operations on the following data structure X:
1) INSERT on X with n elements takes time log n and increases X's potential by log n.
2) FIND on X with n elements takes time k + where k is the number of elements examined. It decreases X's potential by k - 3.
3) REMOVE on X with n elements takes time log n and increases the potential by 3.
The data structure is initially empty. The potential of X is always 0 and is 0 if X is empty.
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