Explanation
Understanding Linked List Search Pseudocode
This question requires us to arrange the given pseudocode statements to correctly implement a search for the first node containing a specific key, 'k', within a linked list named 'L'. A linked list is a sequence of nodes, where each node contains data and a reference (or link) to the next node in the sequence. Searching involves examining nodes one by one until the target key is found or the end of the list is reached.
The pseudocode statements to be ordered are:
- (A) while(x!=NILandx.key!=k)while(x!=NILandx.key!=k)
- (B) x=L.headx=L.head
- (C) x=x.nextx=x.next
- (D) returnxreturnx
Step-by-Step Execution of Pseudocode
To effectively search a linked list, the pseudocode statements must follow a logical flow:
- Initialization: The search must begin by pointing to the first element of the linked list. Statement (B) accomplishes this by setting a pointer, 'x', to the head of the list 'L'. This is the starting point for our traversal.
x=L.headx=L.head
- Loop Condition: We need to traverse the list as long as we haven't reached the end (x!=NILx!=NIL) and the current node's key does not match the target key 'k' (x.key!=kx.key!=k). Statement (A) defines this condition, ensuring the loop continues only if the target is not yet found and the list end is not reached.
while(x!=NILandx.key!=k)while(x!=NILandx.key!=k)
- Moving to the Next Node: Inside the loop, if the condition in (A) holds true, it means we need to examine the subsequent node. Statement (C) updates the pointer 'x' to point to the next node in the sequence (x.nextx.next), allowing the search to proceed down the list.
x=x.nextx=x.next
- Returning the Result: After the loop finishes, the pointer 'x' will either point to the node containing the key 'k' or it will be NIL if the key was not found in the list. Statement (D) returns the final state of 'x', indicating the result of the search.
returnxreturnx
Correct Order of Pseudocode Statements
Combining these steps in the correct sequence ensures an efficient and accurate search process for the linked list:
- Start by pointing to the beginning: (B) x=L.headx=L.head
- Check if the current node is the target or the end of the list: (A) while(x!=NILandx.key!=k)while(x!=NILandx.key!=k)
- If not found and not at the end, move to the next node: (C) x=x.nextx=x.next
- Finally, return the pointer to the found node or NIL: (D) returnxreturnx
Thus, the correct order of the pseudocode statements is (B), (A), (C), (D).