Medium-Hard Analyze Heaps & Priority Queues open_ended

Explain why buildHeap (Floyd's algorithm) is O(n) rather than O(n log n).

Analyze — Tests ability to break down and examine complex problems.

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This question is from the Heaps & Priority Queues topic (Data Structures).

In a min-heap stored as an array, what is the parent index of the node at index i?

What is the time complexity of extracting the minimum from a min-heap?

What is the heap invariant for a min-heap?

What is the time complexity of peek() (see minimum without removing) in a min-heap?

Why use a min-heap of size k to find the kth LARGEST element?