GATE CS 2023 Set 1 — Question 59
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Question
Consider a sequence of elements and . The following operations are performed on a stack and a queue , both of which are initially empty.I: push the elements of from to in that order into .
II: enqueue the elements of from to in that order into .
III: pop an element from .
IV: dequeue an element from .
V: pop an element from .
VI: dequeue an element from .
VII: dequeue an element from and push the same element into .
VIII: Repeat operation VII three times.
IX: pop an element from .
X: pop an element from .The top element of after executing the above operations is _______.
II: enqueue the elements of from to in that order into .
III: pop an element from .
IV: dequeue an element from .
V: pop an element from .
VI: dequeue an element from .
VII: dequeue an element from and push the same element into .
VIII: Repeat operation VII three times.
IX: pop an element from .
X: pop an element from .The top element of after executing the above operations is _______.
Correct answer
8 to 8
Solution
Let's trace the operations step-by-step:
1.Sequence : .
2.Operation I: push to into . (where 2 is the top).
3.Operation II: enqueue to into . (where 1 is at the front).
4.Operation III: pop from . Popped element is 2. .
5.Operation IV: dequeue from . Dequeued element is 1. .
6.Operation V: pop from . Popped element is 9. .
7.Operation VI: dequeue from . Dequeued element is 5. .
8.Operation VII: dequeue from (7) and push to . , .
9.Operation VIII: Repeat VII three times. This moves the remaining 3 elements from to in order:
- Dequeue 8, push to : ,
- Dequeue 9, push to : ,
- Dequeue 2, push to : ,
11.Operation X: pop from . Popped element is 9. .
After all operations, the stack is . The top element is 8.Continue learning with Success Tracker
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