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A priority queue Q is used to implement a stack that stores characters. PUSH (C) is implemented as INSERT (Q, C, K) where K is an appropriate integer key chosen by the implementation. POP is implemented as DELETEMIN(Q). For a sequence of operations, the keys chosen are in
- a)non-increasing order
- b)non-decreasing order
- c)strictly increasing order
- d)strictly decreasing order
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A priority queue Q is used to implement a stack that stores characters...
Implementing stack using priority queue require first element inserted in stack will be deleted at last, and to implement it using deletemin() operation of queue will require first element inserted in queue must have highest priority.
So the keys must be in strictly decreasing order.
So the keys must be in strictly decreasing order.
Most Upvoted Answer
A priority queue Q is used to implement a stack that stores characters...
Explanation:
The given priority queue Q is being used to implement a stack that stores characters. The PUSH operation is implemented as INSERT(Q, C, K) where K is an integer key chosen by the implementation. The POP operation is implemented as DELETEMIN(Q).
To determine the order of the keys chosen for the sequence of operations, let's analyze the behavior of the stack.
When an element is pushed onto the stack, it should be placed at the top of the stack. This means that it should have the highest priority among all the elements in the stack. Therefore, the key chosen for the element should be strictly decreasing with each push operation.
Similarly, when an element is popped from the stack, it should be the topmost element. This means that it should have the highest priority among all the elements in the stack. Therefore, the minimum element (i.e., the topmost element) should be deleted from the priority queue.
Hence, the correct answer is option 'D' - the keys chosen are in strictly decreasing order.
Summary:
- PUSH operation should use keys in strictly decreasing order.
- POP operation should delete the minimum element (i.e., the topmost element) from the priority queue.
- Therefore, the keys chosen for the sequence of operations should be in strictly decreasing order.
The given priority queue Q is being used to implement a stack that stores characters. The PUSH operation is implemented as INSERT(Q, C, K) where K is an integer key chosen by the implementation. The POP operation is implemented as DELETEMIN(Q).
To determine the order of the keys chosen for the sequence of operations, let's analyze the behavior of the stack.
When an element is pushed onto the stack, it should be placed at the top of the stack. This means that it should have the highest priority among all the elements in the stack. Therefore, the key chosen for the element should be strictly decreasing with each push operation.
Similarly, when an element is popped from the stack, it should be the topmost element. This means that it should have the highest priority among all the elements in the stack. Therefore, the minimum element (i.e., the topmost element) should be deleted from the priority queue.
Hence, the correct answer is option 'D' - the keys chosen are in strictly decreasing order.
Summary:
- PUSH operation should use keys in strictly decreasing order.
- POP operation should delete the minimum element (i.e., the topmost element) from the priority queue.
- Therefore, the keys chosen for the sequence of operations should be in strictly decreasing order.
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A priority queue Q is used to implement a stack that stores characters. PUSH (C) is implemented as INSERT (Q, C, K) where K is an appropriate integer key chosen by the implementation. POP is implemented as DELETEMIN(Q). For a sequence of operations, the keys chosen are ina)non-increasing orderb)non-decreasing orderc)strictly increasing orderd)strictly decreasing orderCorrect answer is option 'D'. Can you explain this answer?
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