How would you reverse the order of nodes in a singly linked list? Provide an algorithm and discuss its time complexity.

Comparing the Unsorted and Sorted Linked List implementations, the "Put Item" overall seems to be less efficient for the Sorted List. Why is this?

How can I insert, remove, and search nodes in a data structure with a time complexity that is less than O(n)?

A singly linked list contains n - 1 strings that are binary representations of numbers from the set {0, 1,...., n – 1} where n is an exact power of 2. However, the string corresponding to one of the numbers is missing. For example, if n = 4, the list will contain any three strings from 00, 01,10 and 11. Note that the strings in the list may not appear in any specific order. Also note that the length of each string is lgn, hence the time to compare two strings in O(lgn). Write an algorithm that generates the missing string in O(n).