What is the worst-case time complexity for searching an element in a linked list

Practice Questions

Q1
What is the worst-case time complexity for searching an element in a 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 for searching an element in a linked list?
  • Step 1: Understand what a linked list is. A linked list is a collection of nodes where each node contains data and a reference to the next node.
  • Step 2: Know that to search for an element in a linked list, you start at the head (the first node) and check each node one by one.
  • Step 3: Realize that in the worst-case scenario, the element you are searching for is either not in the list or is at the very end of the list.
  • Step 4: Count how many nodes you might have to check. If there are 'n' nodes in the linked list, you may have to check all 'n' nodes.
  • Step 5: Conclude that the time it takes to search through all 'n' nodes is proportional to 'n', which is expressed as O(n) in big O notation.
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