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It is often necessary to update (increase or decrease) the priorities of the entries in a heap. In order to do this, one has to

It is often necessary to update (increase or decrease) the priorities of the entries in a heap. In order to do this, one has to first find the entry in the heap, and then update its priority. The only way a client of the (regular nonupdatable) heap can find a specific entry is to do successive delete max operations until the entry is found, then update the priority entry and reinsert all the deleted entries, including the one with the updated priority. What would be the worst-case running time (big O) of a priority update, as described above, on a heap that contains n entries?

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