A Special Card Deck

We are thinking of a kind of deck that when divided amongst n players creates n new decks with a curious relation.

When each player shuffles their new subset deck and finishes on a certain permutation, that permutation becomes forever embedded and recorded in a seamlessly connected abstraction of time (or the “history of cards”).

Then, order is decided amongst the player.

The curious nature of this deck is that when each player simultaneously (or not) flips over the corresponding cards from the nth position in their respective (sub) decks, the resulting “summation” of these nth cards from each (sub) deck is a DISTINCT card from a single card playing deck.

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