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Suppose a stack implementation supports an instruction REVERSE, which reverses the order of elements on the stack, in addition to the PUSH and POP instructions. Which one of the following statements is TRUE with respect to this modified stack? .
  • a)
    A queue cannot be implemented using this stack.
  • b)
    A queue can be implemented where ENQUEUE takes a single instruction and DEQUEUE takes a sequence of two instructions.
  • c)
    A queue can be implemented where ENQUEUE takes a sequence of three instructions and DFQUEUE takes a single instruction.
  • d)
    A queue can be implemented where both ENQUEUE and DEQUEUE take a single instruction each.
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Suppose a stack implementation supports an instruction REVERSE, which ...
Consider an queue with elements inserted in same order as element present in queue.

Now to implement stack same as queue:


A queue can be implemented where ENQUEUE takes a sequence of three instructions and DEQUEUE takes a single instruction.
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Most Upvoted Answer
Suppose a stack implementation supports an instruction REVERSE, which ...


Explanation:

Given Stack Operations:
- PUSH: Adds an element to the stack
- POP: Removes and returns the top element of the stack
- REVERSE: Reverses the order of elements on the stack

Implementation of a Queue:
- To implement a queue using a stack that supports REVERSE, we can follow the below approach:

ENQUEUE:
1. Push the new element onto the stack.
2. Reverse the stack using the REVERSE instruction.
3. The new element will now be at the bottom of the stack.

DEQUEUE:
1. Reverse the stack using the REVERSE instruction.
2. Pop the top element from the stack, which corresponds to the front element of the queue.

Explanation of Option C:
- Option C states that ENQUEUE takes a sequence of three instructions and DEQUEUE takes a single instruction.
- This is true because to implement ENQUEUE, we need to push the element, then reverse the stack, and finally reverse it back to maintain the original order.
- On the other hand, DEQUEUE only requires reversing the stack once to retrieve the front element of the queue.

Therefore, option C is the correct statement with respect to implementing a queue using the modified stack.
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Suppose a stack implementation supports an instruction REVERSE, which reverses the order of elements on the stack, in addition to the PUSH and POP instructions. Which one of the following statements is TRUE with respect to this modified stack? .a)A queue cannot be implemented using this stack.b)A queue can be implemented where ENQUEUE takes a single instruction and DEQUEUE takes a sequence of two instructions.c)A queue can be implemented where ENQUEUE takes a sequence of three instructions and DFQUEUE takes a single instruction.d)A queue can be implemented where both ENQUEUE and DEQUEUE take a single instruction each.Correct answer is option 'C'. Can you explain this answer?
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