Question: Consider an ordinary binary min-heap data structure with n elements that supports the instructions INSERT and EXTRACT-MIN in O (lg n) worst-case time. Give a

Consider an ordinary binary min-heap data structure with n elements that supports the instructions INSERT and EXTRACT-MIN in O (lg n) worst-case time. Give a potential function Φ such that the amortized cost of INSERT is O (lg n) and the amortized cost of EXTRACT-MIN is O (1), and show that it works.

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