Exploring Abstract Data Types

What is the primary advantage of using an array-based implementation for a list?

• Faster insertion of elements at the beginning.

• Efficient access to elements using an index.

• Automatic resizing of the array when full.

• Better memory usage compared to linked lists.

Describe the time complexity of inserting an element at the beginning of a singly linked list.

• O(log n)

• O(n)

• O(n^2)

• O(1)

What are the benefits of using a circularly linked list over a singly linked list?

• Circularly linked lists are slower for insertion operations.

• Singly linked lists allow for easier memory management.

• Circularly linked lists cannot be used in real-time applications.

• Circularly linked lists provide continuous traversal, simplify operations, and are useful for applications requiring repeated access.

In what scenarios would a doubly linked list be preferred over a singly linked list?

• When the list is static and does not require modifications.

• When only unidirectional traversal is needed.

• When memory usage is a primary concern.

• When bidirectional traversal or frequent insertions/deletions from both ends are needed.

How does the memory usage of an array-based list compare to that of a singly linked list?

• Both array-based lists and singly linked lists use the same amount of memory regardless of size.

• A singly linked list is more memory efficient than an array-based list.

• An array-based list uses less memory than a singly linked list only when it is full.

• An array-based list is generally more memory efficient than a singly linked list.

What operation would you perform to remove the last element from a circularly linked list?

• Traverse to the second-to-last node and update its next pointer.

• Set the next pointer of the last node to null.

• Delete the first node in the list.

• Remove the head node and update the next pointer.

Explain how to traverse a doubly linked list in reverse order.

• Start at the tail and move to the previous node using 'prev' pointers until the head is reached.

• Only access the nodes that are marked as 'visited' to avoid duplicates.

• Traverse the list in a random order without following any pointers.

• Start at the head and move to the next node using 'next' pointers until the tail is reached.

What is a common application of linked lists in real-world programming?

• Managing database connections

• Implementing stacks and queues

• Handling file I/O operations

• Storing user profiles

How does the implementation of a polynomial ADT benefit from using linked lists?

• The implementation of a polynomial ADT benefits from using linked lists by allowing dynamic memory allocation and efficient manipulation of polynomial terms.

• It simplifies the implementation of polynomial arithmetic operations.

• It restricts the number of terms in a polynomial to a fixed size.

• It allows for static memory allocation of polynomial terms.

What is the main advantage of using a circularly linked list in applications that require continuous traversal?

• It allows for faster insertion and deletion of nodes.

• It requires less memory than a doubly linked list.

• It simplifies the implementation of stack operations.

• The main advantage is continuous traversal without resetting to the head.