How to sort a stack using only Push, Pop, Top, IsEmpty, IsFull?

Question

Given a stack S, need to sort the stack using only Push, Pop, Top, IsEmpty, IsFull.

Looking for most sim

Answer 1

//A java version

public static void sort(Stack s){
    if(s.size() > 0){
        int tmp = s.pop();
        sort(s);
        sortFromBottom(s, tmp);
    }
}

private static void sortFromBottom(Stack s, Integer value){
    if(s.size() == 0){
        s.add(value);
    }else{
        int tmpValue = s.peek();
        if(tmpValue < value){
            s.pop();
            sortFromBottom(s, value);
            s.push(tmpValue);
        }else{
            s.push(value);
        }
    }
}