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How many stacks are needed to implement a queue. Consider the situation where no other data structure like arrays, linked list is available to you.
- a)1
- b)2
- c)3
- d)4
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
How many stacks are needed to implement a queue. Consider the situatio...
- A queue operates on a First In, First Out (FIFO) principle, while a stack works on a Last In, First Out (LIFO) principle.
- By using two stacks, we can simulate the FIFO behavior of a queue.
thus option B is correct
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How many stacks are needed to implement a queue. Consider the situatio...
Understanding Queue Implementation with Stacks
To implement a queue using stacks, we need to understand the inherent properties of both data structures. A queue operates on a First-In-First-Out (FIFO) principle, while a stack functions on a Last-In-First-Out (LIFO) principle.
Why Two Stacks Are Required
- Stack 1 (Input Stack):
- This stack is used to store incoming elements of the queue.
- Stack 2 (Output Stack):
- This stack is responsible for reversing the order of elements stored in Stack 1 to maintain the FIFO order required by a queue.
Queue Operations Using Two Stacks
- Enqueue Operation:
- When adding an element to the queue, simply push it onto Stack 1. This operation is O(1) in complexity.
- Dequeue Operation:
- To remove an element from the queue, check if Stack 2 is empty:
- If it is empty, pop all elements from Stack 1 and push them onto Stack 2. This reverses the order of elements.
- Then, pop the top element from Stack 2, which is now the front of the queue. This operation can take O(n) in the worst case if Stack 2 is empty.
Conclusion
By using two stacks, we can efficiently implement the queue's required operations while adhering to FIFO principles. Thus, the correct answer is option 'B'—two stacks are necessary for this implementation.
To implement a queue using stacks, we need to understand the inherent properties of both data structures. A queue operates on a First-In-First-Out (FIFO) principle, while a stack functions on a Last-In-First-Out (LIFO) principle.
Why Two Stacks Are Required
- Stack 1 (Input Stack):
- This stack is used to store incoming elements of the queue.
- Stack 2 (Output Stack):
- This stack is responsible for reversing the order of elements stored in Stack 1 to maintain the FIFO order required by a queue.
Queue Operations Using Two Stacks
- Enqueue Operation:
- When adding an element to the queue, simply push it onto Stack 1. This operation is O(1) in complexity.
- Dequeue Operation:
- To remove an element from the queue, check if Stack 2 is empty:
- If it is empty, pop all elements from Stack 1 and push them onto Stack 2. This reverses the order of elements.
- Then, pop the top element from Stack 2, which is now the front of the queue. This operation can take O(n) in the worst case if Stack 2 is empty.
Conclusion
By using two stacks, we can efficiently implement the queue's required operations while adhering to FIFO principles. Thus, the correct answer is option 'B'—two stacks are necessary for this implementation.
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