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In a stack, what is the time complexity of the pop operation when implemented us

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Question: In a stack, what is the time complexity of the pop operation when implemented using a dynamic array?

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 dynamic array takes O(1) time, as it simply removes the top element.

In a stack, what is the time complexity of the pop operation when implemented us

Practice Questions

Q1
In a stack, what is the time complexity of the pop operation when implemented using a dynamic array?
  1. O(1)
  2. O(n)
  3. O(log n)
  4. O(n^2)

Questions & Step-by-Step Solutions

In a stack, what is the time complexity of the pop operation when implemented using a dynamic array?
  • Step 1: Understand what a stack is. A stack is a data structure that follows the Last In First Out (LIFO) principle, meaning the last element added is the first one to be removed.
  • Step 2: Know what the pop operation does. The pop operation removes the top element from the stack.
  • Step 3: Learn about dynamic arrays. A dynamic array can change its size as needed, allowing for efficient storage of elements.
  • Step 4: Realize that when you pop an element from the stack, you only need to remove the top element from the dynamic array.
  • Step 5: Understand that removing the top element does not require shifting other elements in the array, which keeps the operation fast.
  • Step 6: Conclude that since the pop operation only involves removing one element and does not depend on the size of the stack, it takes constant time, which is O(1).
  • Time Complexity – Understanding how the time complexity of operations like pop is analyzed in data structures.
  • Dynamic Array Implementation – Knowledge of how stacks can be implemented using dynamic arrays and the implications on performance.
  • Stack Operations – Familiarity with basic stack operations such as push and pop, and their expected time complexities.
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