Final answer:
This answer explains how various operations affect a linked list, including determining if the list is empty, inserting at different indexes, removing at different indexes, retrieving a value at any index, calculating the size of the list, and removing all elements in one line.
Step-by-step explanation:
Determining if the list is empty: To determine if the list is empty, we can check if the head of the list is null. If the head is null, then the list is empty.
Trivial insertion: To perform a trivial insertion at index 0, we need to create a new node, assign the value to it, and set the next pointer of the new node to the current head. Then, update the head pointer to the new node.
Non-trivial insertion: To perform a non-trivial insertion at an index greater than 0, we need to traverse the list until we reach the desired index. Then, create a new node, assign the value to it, and set the next pointer of the new node to the next node of the current node. Finally, update the next pointer of the current node to point to the new node.
Trivial removal: To perform a trivial removal at index 0, we need to update the head pointer to point to the next node of the current head.
Non-trivial removal: To perform a non-trivial removal at an index greater than 0, we need to traverse the list until we reach the node just before the desired index. Then, update the next pointer of the current node to point to the next node of the next node of the current node.
Retrieval at any index: To retrieve the value at any index, we need to traverse the list until we reach the desired index. Then, return the value of the current node.
Calculation of the size of the list: To calculate the size of the list, we need to traverse the list and count the number of nodes.
Removing all elements in one line: To remove all elements in one line, we can simply assign null to the head pointer, which effectively disconnects all nodes from the list.