10 Questions
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?
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.
What is the time complexity of removing elements from a priority queue in sorted order?
O(n)
What is the adaptable priority queue ADT?
An adaptable priority queue ADT is a data structure that allows for efficient insertion and removal of elements while maintaining a priority order.
How does the height of a heap relate to the number of keys it stores?
The height of a heap storing n keys is O(logn).
What is the difference between selection-sort and insertion-sort?
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.
What is the purpose of a priority queue ADT?
A priority queue ADT allows for efficient insertion and removal of elements based on their priority or key value.
How can a heap be implemented?
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.
Test your knowledge on priority queue ADT, heap ADT, and adaptable priority queue ADT, and how they can be used for sorting a set of comparable elements. This quiz covers the implementation and running time of priority queue sorting methods. Apply your understanding of computer science concepts to solve the questions.
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