Priority Queue and Sorting in Computer Science
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Questions and Answers

What is the time complexity of the insertion-sort algorithm?

O(n^2)

How can insertion-sort be implemented in-place?

By using a portion of the input sequence as the priority queue and keeping the initial portion of the sequence sorted, with swaps instead of modifying the sequence.

What is the heap-order property in a heap data structure?

For every internal node v, key(v) ≥ key(parent(v)).

What is the complete binary tree property in a heap?

<p>Let h be the height of the heap, for i = 0,..., h − 1, there are 2i nodes of depth i, and at depth h − 1, the internal nodes are to the left of the external nodes.</p> Signup and view all the answers

What is the time complexity of removing elements from a priority queue in sorted order?

<p>O(n)</p> Signup and view all the answers

What is the adaptable priority queue ADT?

<p>An adaptable priority queue ADT is a data structure that allows for efficient insertion and removal of elements while maintaining a priority order.</p> Signup and view all the answers

How does the height of a heap relate to the number of keys it stores?

<p>The height of a heap storing n keys is O(logn).</p> Signup and view all the answers

What is the difference between selection-sort and insertion-sort?

<p>Selection-sort selects the minimum element and swaps it with the first element, while insertion-sort inserts elements into a priority queue and removes them in sorted order.</p> Signup and view all the answers

What is the purpose of a priority queue ADT?

<p>A priority queue ADT allows for efficient insertion and removal of elements based on their priority or key value.</p> Signup and view all the answers

How can a heap be implemented?

<p>A heap can be implemented as a binary tree, with each node storing a key and satisfying the heap-order and complete binary tree properties.</p> Signup and view all the answers

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