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: Understanding the pseudocode.
To search for an element in a linked list, the steps typically follow this flow:
- **(B)** Set `x = L.head`, as the search starts from the head of the linked list.
- **(A)** Use a **while** loop to check that the current node (`x`) is not `NIL` and the key (`x.key`) is not equal to `k`. This continues until the element is found or the end of the list is reached.
- **(C)** Move to the next node by updating `x = x.next`.
- **(D)** If the node with the desired key is found, return `x`.
Step 2: Conclusion.
The correct order of the steps is **(B), (A), (C), (D)**. This order ensures that the search starts at the head, continues through the list, and terminates when the element is found.
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?