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Heap data structure question: If a new heap data structure was created that allowed inserting elements into a heap in theta(1) while also allowing the

Heap data structure question:

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If a new heap data structure was created that allowed inserting elements into a heap in theta(1) while also allowing the maximum element to be popped in theta(1), what would the runtime of heap sort be with this new data structure? Theta(nlg(n)) Theta(n) Theta(lg(n)) Theta(n^2)

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