Cayley's mousetrap

Mousetrap is the name of a game introduced by the English mathematician Arthur Cayley.

("say thirteen" in Cayley's original article) are shuffled to place them in some random permutation and are arranged in a circle with their faces up.

Then, starting with the first card, the player begins counting

If at any point the player's current count matches the number on the card currently being pointed to, that card is removed from the circle and the player starts all over at

However, this is not a sufficient condition for winning, because it does not take into account subsequent removals.