1. The following code implements a linked-list Node: struct Node { int data; Node *next; }; Node *A; a) Write a new function to delete the Nth element in the linked-list. The new function's prototype is: bool DeleteNthNode(Node * & listpointer, int nth_element); If the deletion is completed, the function should return true. If the linked-list has less than N elements, then the function should return false. Make sure that your code covers all cases: when the list is empty, when the list only has one element, or two elements etc.

Here's an implementation of the DeleteNthNode function:

bool DeleteNthNode(Node *&listpointer, int nth_element) {
    // Check if the list is empty
    if (listpointer == NULL) {
        return false;
    }
    
    // Check if the first node needs to be deleted
    if (nth_element == 1) {
        Node *temp = listpointer;
        listpointer = listpointer->next;
        delete temp;
        return true;
    }
    
    // Traverse the list to find the node before the nth node
    Node *prev = NULL;
    Node *curr = listpointer;
    int count = 1;
    while (count < nth_element && curr != NULL) {
        prev = curr;
        curr = curr->next;
        count++;
    }
    
    // Check if the nth node was found
    if (curr == NULL) {
        return false;
    }
    
    // Delete the nth node
    prev->next = curr->next;
    delete curr;
    return true;
}

This implementation checks for all the cases mentioned in the prompt - empty list, deleting the first node, and deleting a node in the middle of the list. The function takes a reference to the listpointer so that it can modify the list if necessary.