Queue Quiz Doubt

Please explain this:-
Queue Operation
Let Q denote a queue containing sixteen numbers and S be an empty stack. Head(Q) returns the element at the head of the queue Q without removing it from Q. Similarly Top(S) returns the element at the top of S without removing it from S. Consider the algorithm given below.

while Q is not empty do {
if S is empty OR Top(S)<= Head(Q) then {
x = Dequeue(Q)
Push(S, x)
} else {
x = Pop(S)
Enqueue(Q,x)
}
}
The maximum possible number of iterations of the while loop in the algorithm is

16

32

64

256

hello @Sakshi2004

The worst case happens when the queue is sorted in decreasing order. In worst case, loop runs n*n times.
so for 16 answer would be 16 *16.

ex->

Queue: 4 3 2 1
Stack: Empty

3 2 1
4

3 2 1 4
Empty

2 1 4
3

2 1 4 3
Empty

1 4 3
2

1 4 3 2
Empty

4 3 2
1

3 2
1 4

3 2 4
1

2 4
1 3

2 4 3
1

4 3
1 2

3 
1 2 4

3 4 
1 2

4
1 2 3

Empty
1 2 3 4