Question

Show the deque, indicating clearly the "top" dt and "bottom" db at the instant just after each new vi is considered.

Options:
a) Stack data structure
b) Queue operations
c) Heap visualization
d) Array manipulation

Answer 1

The question involves visualizing how a deque changes when new elements are added. The top (dt) and bottom (db) of the deque are clearly indicated to show where elements are after each is added. It demonstrates the application of both stack and queue properties within a deque.

Step-by-step explanation:

The question appears to refer to the process of visualizing operations of a deque, a double-ended queue that allows insertion and removal of elements from both the front (top) and back (bottom). When a new element, designated as vi, is considered for addition to the deque, the state of the deque changes. For a stack data structure, elements are added and removed from the top only. On the contrary, queue operations involve adding elements at the bottom (also called the rear or back of the queue) and removing them from the top (also known as the front or head).

In the context of the question, which asks for a visualization just after each new vi is considered, one would depict the deque with a clear indication of where the top (dt) and bottom (db) are, showing the position of the newly added elements in relation to the top and bottom. The specificity of the terms such as top and bottom suggests that we're visualizing a deque in a scenario where both stack and queue properties may apply, thus highlighting the versatility and uniqueness of a deque compared to a standard stack or queue.

Answer 2

Show the deque, indicating clearly the "top" dt and "bottom" db at the instant just after each new vi is considered c Heap visualization.

Step-by-step explanation:

When considering the deque and referring to "top" (dt) and "bottom" (db) in the context of the instant just after each new vi is considered, the most relevant data structure is heap visualization. A deque, or double-ended queue, allows insertion and deletion at both ends. In a heap visualization, the top typically refers to the root of the heap (the element with the highest priority), and the bottom refers to the leaf nodes. As each new vi is considered, it may affect the structure of the heap, causing elements to move or be rearranged.

Deque: A deque is a versatile data structure that allows insertion and deletion at both ends. This aligns with the concept of considering each new vi in the given scenario.

"Top" (dt) and "Bottom" (db): These terms are commonly associated with heaps, where the top usually denotes the root (highest priority element), and the bottom refers to the leaf nodes. In the context of heap visualization, these terms make sense.