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What is the worst-case time complexity of inserting an element at the end of a s

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Question: What is the worst-case time complexity of inserting an element at the end of a singly linked list?

Options:

  1. O(1)
  2. O(n)
  3. O(log n)
  4. O(n^2)

Correct Answer: O(n)

Solution:

Inserting at the end of a singly linked list requires traversing the entire list, resulting in O(n) time complexity.

What is the worst-case time complexity of inserting an element at the end of a s

Practice Questions

Q1
What is the worst-case time complexity of inserting an element at the end of a singly linked list?
  1. O(1)
  2. O(n)
  3. O(log n)
  4. O(n^2)

Questions & Step-by-Step Solutions

What is the worst-case time complexity of inserting an element at the end of a singly linked list?
  • Step 1: Understand what a singly linked list is. It is a data structure where each element (node) points to the next one.
  • Step 2: Know that to insert an element at the end of the list, you need to find the last node.
  • Step 3: To find the last node, you start at the head (the first node) and move to the next node until you reach a node that points to null (the end).
  • Step 4: Count how many nodes you have to visit to reach the last node. In the worst case, you will visit all n nodes in the list.
  • Step 5: Since you have to visit all n nodes to insert at the end, the time it takes is proportional to n.
  • Step 6: Therefore, the worst-case time complexity for inserting an element at the end of a singly linked list is O(n).
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