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3
votes
Returning sorted lowest k elements in a binary heap
Construct a new min-heap $H$ using the root of the original heap $O$ as its only element. Then $k$ times you want to pop the smallest value from $H$, append it to our output array and add the children …
5
votes
Accepted
Min Fibonacci Heap - increase key
First note that $\text{increase-key}$ must be $O(\log n)$ if we wish for $\text{insert}$ and $\text{find-min}$ to stay $O(1)$ as they are in a Fibonacci heap.
If it weren't you'd be able to sort in $ …