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If a stack is implemented using a linked list, what is the time complexity of th

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Question: If a stack is implemented using a linked list, what is the time complexity of the \'pop\' operation?

Options:

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

Correct Answer: O(1)

Solution:

The \'pop\' operation in a stack implemented using a linked list is done in constant time, O(1), as it involves removing the head node.

If a stack is implemented using a linked list, what is the time complexity of th

Practice Questions

Q1
If a stack is implemented using a linked list, what is the time complexity of the 'pop' operation?
  1. O(1)
  2. O(n)
  3. O(log n)
  4. O(n^2)

Questions & Step-by-Step Solutions

If a stack is implemented using a linked list, what is the time complexity of the 'pop' operation?
  • Step 1: Understand what a stack is. A stack is a data structure that follows the Last In, First Out (LIFO) principle.
  • Step 2: Know that a linked list is a way to store data where each element (node) points to the next one.
  • Step 3: In a stack implemented with a linked list, the top of the stack is represented by the head node of the linked list.
  • Step 4: The 'pop' operation means removing the top element from the stack.
  • Step 5: To perform the 'pop' operation, we simply remove the head node of the linked list.
  • Step 6: Removing the head node involves changing the head pointer to point to the next node in the list.
  • Step 7: This operation does not depend on the size of the stack; it takes the same amount of time regardless of how many elements are in the stack.
  • Step 8: Therefore, the time complexity of the 'pop' operation is O(1), which means it is done in constant time.
  • Time Complexity – Understanding how the time taken for an operation scales with the size of the data structure.
  • Data Structures – Knowledge of how stacks and linked lists are implemented and their operational characteristics.
  • Stack Operations – Familiarity with stack operations such as 'push' and 'pop' and their expected time complexities.
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