Obtaining ordering of cards
You are given a deck containing n cards. While holding the deck:
- Take the top card off the deck and set it on the table
- Take the next card off the top and put it on the bottom of the deck in your hand.
- Continue steps 1 and 2 until all cards are on the table. This is a round.
- Pick up the deck from the table and repeat steps 1-3 until the deck is in the original order.
Write a program to determine how many rounds it will take to put a deck back into the original order.