The statements of pseudocode for searching the first element with key k in the linked list L are given below. Arrange them in the correct order.
(A) while (x != NIL and x.key != k)
(B) x = L.head
(C) x = x.next
(D) return x
Step 1: Pseudocode Analysis for Linked List Search.
The process for searching an element in a linked list can be outlined as follows:
- (B) Initialize a pointer `x` to the head of the linked list, denoted as `L.head`.
- (A) Employ a while loop. This loop continues as long as the current node `x` is not `NIL` (the end of the list) AND the key of the current node (`x.key`) does not match the target key `k`.
- (C) Advance the pointer to the next node in the list by assigning `x = x.next`.
- (D) Upon locating the node containing the target key, return the node `x`.
Step 2: Sequence Determination.
The logically correct execution order for these steps is (B), (A), (C), (D). This sequence ensures a systematic search commencing from the list's beginning, proceeding node by node, and concluding either upon finding the element or reaching the list's end.
Consider the problem of reversing a singly linked list. To take an example, given the linked list below,

The reversed linked list should look like

Which one of the following statements is TRUE about the time complexity of algorithms that solve the above problem in \( O(1) \) space?