What is the space complexity of a queue implemented using two stacks?

Practice Questions

Q1
What is the space complexity of a queue implemented using two stacks?
  1. O(1)
  2. O(n)
  3. O(log n)
  4. O(n^2)

Questions & Step-by-Step Solutions

What is the space complexity of a queue implemented using two stacks?
  • Step 1: Understand what a queue is. A queue is a data structure that follows the First In First Out (FIFO) principle.
  • Step 2: Understand what a stack is. A stack is a data structure that follows the Last In First Out (LIFO) principle.
  • Step 3: Know that we can implement a queue using two stacks. This means we will use two separate stacks to manage the elements of the queue.
  • Step 4: Realize that when we implement a queue with two stacks, we still need to store all the elements that are in the queue.
  • Step 5: Count the total number of elements in the queue. If there are 'n' elements, we need space for all of them.
  • Step 6: Conclude that the space required for the two stacks combined is still proportional to the number of elements, which is 'n'.
  • Step 7: Therefore, the space complexity of a queue implemented using two stacks is O(n).
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