Towers of Hanoi variant. Consider the following variant of the towers of Hanoi problem. There are 2n discs of increasing size stored on three poles. Initially all of the discs with odd size (1, 3,...

Towers of Hanoi variant. Consider the following variant of the towers of Hanoi problem. There are 2n discs of increasing size stored on three poles. Initially all of the discs with odd size (1, 3, ..., 2n-1) are piled on the left pole from top to bottom in increasing order of size; all of the discs with even size (2, 4, ..., 2n) are piled on the right pole. Write a program to provide instructions for moving the odd discs to the right pole and the even discs to the left pole, obeying the same rules as for towers of Hanoi.