An implementation of a queue Q, using two stacks S1 and S2, is given below:Q. Let n insert and m (=n) delete operations be performed in an arbitrary order on an empty queue Q. Let x and y be the number of push and pop operations performed respectively in the process. Which one of the following is true for all m and n?a)n+m = x 2n and 2m = y = n+mb)n+m = x 2n and 2m= y = 2nc)2m = x 2n and 2m = y = n+md)2m = x 2n and 2m = y = 2nCorrect answer is option 'A'. Can you explain this answer? - EduRev Computer Science Engineering (CSE) Question

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An implementation of a queue Q, using two stacks S1 and S2, is given below:

Q. Let n insert and m (<=n) delete operations be performed in an arbitrary order on an empty queue Q. Let x and y be the number of push and pop operations performed respectively in the process. Which one of the following is true for all m and n?

a)
n+m <= x < 2n and 2m <= y <= n+m
b)
n+m <= x < 2n and 2m<= y <= 2n
c)
2m <= x < 2n and 2m <= y <= n+m
d)
2m <= x <2n and 2m <= y <= 2n

Correct answer is option 'A'. Can you explain this answer?

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An implementation of a queue Q, using two stacks S1 and S2, is given b...

The order in which insert and delete operations are performed matters here. The best case: Insert and delete operations are performed alternatively. In every delete operation, 2 pop and 1 push operations are performed. So, total m+ n push (n push for insert() and m push for delete()) operations and 2m pop operations are performed. The worst case: First n elements are inserted and then m elements are deleted. In first delete operation, n + 1 pop operations and n push operation are performed. Other than first, in all delete operations, 1 pop operation is performed. So, total m + n pop operations and 2n push operations are performed (n push for insert() and n push for delete())

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An implementation of a queue Q, using two stacks S1 and S2, is given below:Q. Let n insert and m (<=n) delete operations be performed in an arbitrary order on an empty queue Q. Let x and y be the number of push and pop operations performed respectively in the process. Which one of the following is true for all m and n?a)n+m <= x < 2n and 2m <= y <= n+mb)n+m <= x < 2n and 2m<= y <= 2nc)2m <= x < 2n and 2m <= y <= n+md)2m <= x <2n and 2m <= y <= 2nCorrect answer is option 'A'. Can you explain this answer?

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