Please refer to the following link for the explanation:
http://stackoverflow.com/questions/69192/using-stack-as-queue

On 18 окт, 14:06, bujji <[email protected]> wrote:
> Can you please explain your Algorithm to implement queue using stack
> in O(1) time?
>
> On Oct 18, 1:43 pm, "juver++" <[email protected]> wrote:
>
>
>
>
>
>
>
> > The amortized time is O(1) for extracting and pushing elements from/in
> > the queue.
>
> > On 18 ÏËÔ, 12:01, Mallesh Kavuluri <[email protected]> wrote:
>
> > > @Juver
>
> > > Simulating queue with Stack takes O(n) time. If it takes O(1) time, then
> > > your solution is correct.
>
> > > If simulating Queue with stack takes O(n) time, then your solution
> > > complexity will be O(n) and not O(1).
>
> > > 2010/10/16 juver++ <[email protected]>
>
> > > > Suppose you have a stack data structure which has additional
> > > > operation findMin() - returns smallest element on the stack.
> > > > This can be easily updated in O(1) while pushing new element onto the
> > > > stack.
>
> > > > It is known that queue DS can be simulated by using two stacks (here
> > > > we use stacks which have findMin routine).
> > > > From this point we are able to retrieve smallest element from the
> > > > queue in O(1).
>
> > > > On 13 ÏËÔ, 22:22, malli <[email protected]> wrote:
> > > > > A queue data structure has functions enqueue(int x) ( inserts element
> > > > > in right end), dequeue() ( deletes element from left end) functions.
> > > > > These operations take O(1) time. Modify this queue data structure, so
> > > > > that šit supports findmin() which returns minimum element of stack in
> > > > > O(1) time.
>
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