What are the minimum number of queues required to make a Stack?
Question
What are the minimum number of queues required to make a Stack?
Solution
To implement a stack using queues, we need a minimum of two queues. Here are the steps:
- Initialize two queues, q1 and q2.
- To push an element into the stack, enqueue it into q1.
- To pop an element from the stack, dequeue all elements from q1 and enqueue them into q2, leaving only the last element in q1. Dequeue and return this last element. Then, swap the names of q1 and q2.
This way, the last element inserted (the top of the stack) is always accessible for a pop operation. The other elements (below the top) are stored in q2, ready to be moved back to q1 when needed.
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