Consider a stack implemented using two queues. The operations are:
- push(1)
- push(2)
- pop()
- push(3)
- pop()
What is the printed output of the popped elements?
/* Using two queues q1 and q2 to implement stack */ // push(x): enqueue x to q2, then enqueue all elements of q1 to q2, swap q1 and q2 // pop(): dequeue from q1 // Operations: // push(1) // push(2) // pop() -> prints popped element // push(3) // pop() -> prints popped element
Remember that the last pushed element is popped first in a stack.
After push(1) and push(2), the stack top is 2. pop() removes 2. Then push(3) adds 3 on top. pop() removes 3.
In a stack implemented using queues, which queue operation corresponds to the stack's pop operation?
Pop removes the top element from the stack.
Pop removes the last inserted element, which is simulated by dequeueing from the front of the queue after reordering.
Given this push function for stack using a single queue, what error will occur?
void push(int x) {
q.push(x);
for (int i = 0; i < q.size() - 1; i++) {
int val = q.front();
q.pop();
q.push(val);
}
}The queue size remains constant during the loop because each pop is followed by a push.
No error occurs. This is the standard O(n) implementation for push in a stack using one queue. The newly pushed element is rotated to the front by moving the previous elements to the back. The queue size stays constant, so the loop condition works correctly.
Using a stack implemented with one queue, perform these operations:
- push(10)
- push(20)
- push(30)
- pop()
What is the state of the queue representing the stack after these operations?
/* push(x): enqueue x, then rotate queue to put x at front
pop(): dequeue front element */Pop removes the last pushed element, so after pop(), the top is the previous element.
After pushing 10,20,30, the queue order is 30(front),20,10. Pop removes 30, leaving 20(front),10.
In a stack implemented using two queues, the push operation involves moving elements between queues. What is its time complexity?
Consider how many elements are moved during each push.
Push requires moving all existing elements to the other queue, so it takes linear time proportional to the number of elements.
