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In a stack implemented using an array, what is the time complexity of the push o

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Question: In a stack implemented using an array, what is the time complexity of the push operation?

Options:

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

Correct Answer: O(1)

Solution:

The push operation in a stack implemented with an array is O(1) as it adds an element to the top of the stack.

In a stack implemented using an array, what is the time complexity of the push o

Practice Questions

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

Questions & Step-by-Step Solutions

In a stack implemented using an array, what is the time complexity of the push 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 stack can be implemented using an array, where elements are added and removed from the end of the array.
  • Step 3: Identify the push operation. The push operation adds an element to the top of the stack (the end of the array).
  • Step 4: Realize that adding an element to the end of an array is a simple operation that does not depend on the number of elements already in the stack.
  • Step 5: Conclude that the time complexity for the push operation is O(1), meaning it takes constant time regardless of the stack size.
  • Time Complexity – Understanding how the time taken for operations like push in a stack is analyzed.
  • Stack Data Structure – Knowledge of how stacks operate, particularly the push operation.
  • Array Implementation – Understanding the implications of using an array to implement a stack.
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