To answer this question, let's go through each option to understand why it is correct or incorrect:
Option A) Vector - The Vector class in Java is synchronized, which means that access to its methods is thread-safe. However, this synchronization comes at a cost of performance. So, it is not the fastest implementation for inserting a new element into the middle of the list.
Option B) Array List - The ArrayList class in Java provides fast access to elements by index, but inserting an element into the middle of the list requires shifting all subsequent elements to make room for the new element. This can be a costly operation, especially if the list is large. Therefore, it is not the fastest implementation for inserting a new element into the middle of the list.
Option C) Linked List - The LinkedList class in Java is implemented as a doubly-linked list, where each element in the list contains references to the previous and next elements. This allows for efficient insertion and deletion of elements anywhere in the list, including the middle. Therefore, the Linked List implementation provides the fastest insertion of a new element into the middle of the list.
Option D) None of the above - Since option C (Linked List) is the correct answer, option D (None of the above) is incorrect.
The correct answer is C) Linked List. This option is correct because the Linked List implementation provides the fastest insertion of a new element into the middle of the list.