Recursive Backtracking 1. Assume I have the string "162". Trace through the recursive backtracking procedure of generating all permutations of the string. List all permutations. ORDER IS IMPORTANT 2. Given the N-Queens problem where N=5, how many solutions exist? I recommend modifying the handout code. Include the modified code as part of your answer. Recursive Zen 3. Given a Linked List that has a private member "head", implement a recursive function that computes the length of the Linked List. There is no "size" member. Trees 4. How does a binary tree differ from a doubly-linked list? 5. Insert the following values into a Binary Search Tree. 5, 2, 4, 1, 3 Show the result in a tree-like figure.