What is the time complexity of reversing a stack using another stack?

Practice Questions

Q1
What is the time complexity of reversing a stack using another stack?
  1. O(n)
  2. O(n log n)
  3. O(n^2)
  4. O(1)

Questions & Step-by-Step Solutions

What is the time complexity of reversing a stack using another stack?
  • Step 1: Understand what a stack is. A stack is a data structure that follows Last In First Out (LIFO) order.
  • Step 2: Know that reversing a stack means changing the order of elements so that the last element becomes the first.
  • Step 3: To reverse a stack using another stack, you will use two stacks: the original stack (let's call it Stack A) and a new empty stack (let's call it Stack B).
  • Step 4: Start by popping elements from Stack A one by one.
  • Step 5: For each element you pop from Stack A, push it onto Stack B.
  • Step 6: Continue this process until Stack A is empty. Now, Stack B contains the elements in reverse order.
  • Step 7: The time taken to pop each element from Stack A and push it onto Stack B is constant time, O(1).
  • Step 8: If there are 'n' elements in Stack A, you will perform 'n' pop operations and 'n' push operations.
  • Step 9: Therefore, the total time taken is O(n) for 'n' elements.
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