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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 DEQUEUE 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 ...
(C) is the answer. While ENQUEUE we REVERSE the stack, PUSH the element and then again REVERSE the stack. For DEQUE we simply POP the element.
(Option (B) can be used to get the first element from the stack by doing a POP after REVERSE for DEQUEUE and PUSH for\ ENQUEUE. But we have to restore the stack using REVERSE (otherwise next POP won't work) which means DEQUEUE actually needs 3 instructions and not 2)
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Most Upvoted Answer
Suppose a stack implementation supports an instruction REVERSE, which ...
Implementation of Queue using a Modified Stack

Given a stack that supports the REVERSE instruction along with PUSH and POP, we need to determine if a queue can be implemented using this modified stack.

Approach:

- We can implement a queue using two stacks, but we need to check if a single modified stack can be used for this purpose.
- We need to analyze the behavior of the REVERSE instruction and see how it can be used to implement queue operations.

Solution:

- In a stack, the last element pushed is the first one to be popped. In a queue, the first element enqueued is the first one to be dequeued. Therefore, we need to somehow reverse the order of elements in the stack to implement a queue.
- The REVERSE instruction can be used to reverse the order of elements in the stack. When this instruction is executed, the top element of the stack is moved to the bottom of the stack, and so on until all elements are reversed.
- To implement a queue using a modified stack, we can use the following approach:

- To enqueue an element, we can simply use the PUSH instruction to add the element to the top of the stack.
- To dequeue an element, we can use a sequence of three instructions:

- First, we need to reverse the order of elements in the stack using the REVERSE instruction.
- Next, we can use the POP instruction to remove the top element from the reversed stack, which corresponds to the first element enqueued.
- Finally, we need to reverse the order of elements in the stack again using the REVERSE instruction to restore the original order.

- Therefore, option (c) is the correct answer. A queue can be implemented where ENQUEUE takes a sequence of three instructions and DEQUEUE takes a single instruction.
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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 DEQUEUE 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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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 DEQUEUE 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? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about 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 DEQUEUE 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? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 DEQUEUE 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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