# Cormen Edition 3 Exercise 10.1 Question 3 (Page No. 235)

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ENQUEUE(Q, x)
1     Q[Q.tail] = x
2     if Q.tail == Q.length
3     Q.tail = 1
4     else Q.tail = Q.tail + 1

DEQUEUE(Q)
5      return x

illustrate the result of each operation in the sequence ENQUEUE(Q,4),ENQUEUE(Q,1),ENQUEUE(Q,3),DEQUEUE(Q),ENQUEUE(Q,8),DEQUEUE(Q) on an initially empty queue $Q$ stored in array $Q[1...6]$.

edited

### return x=1  from step 5 of DEQUEUE(Q)

## Related questions

1
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Rewrite ENQUEUE and DEQUEUE to detect underflow and overflow of a queue.
Whereas a stack allows insertion and deletion of elements at only one end, and a queue allows insertion at one end and deletion at the other end, a deque (double ended queue) allows insertion and deletion at both ends. Write four $O(1)$ time procedures to insert elements into and delete elements from both ends of a deque implemented by an array.
Explain how to implement two stacks in one array $A[1...n]$ in such a way that neither stack overflows unless the total number of elements in both stacks together is $n$.The $PUSH$ and $POP$ operations should run in $O(1)$ time.