Fool with arithmetic progression

Number of decks: 1
Number of cards in the deck: 36 or 52
Number of players: 2 - 6
The seniority of the cards: 2, 3, 4, 5, 6, 7, 8, 9, 10, B, D, K, T.
Purpose of the game: get rid of all your cards.
Rules of the game. The first handler is determined by the draw, in the next game the player who lost in the previous game hand over the cards. The deck is carefully shuffled, it is not necessary to shoot, and each player is dealt on the 1st card. The deck that remains is placed in the center of the table. The top card from the deck is removed, opened and placed under the deck. This card defines a trump suit in the game. In the first game there is the first player who has a trump card, if there is no trump card, then either by lot or determined on the lowest card, in the following games there are 2 variants of the first move: under the fool, that is, the player who sits to the right of the player Fool; From under the fool, the first player who sits to the left of the fool walks. The corresponding variant of the first move is selected by the players before the game. The first player makes his first move with his one card. The player walks the map to the player to his left and this player must discard this card. In order to fight off it is necessary to put a card of the highest value of the same suit. If the card you need to beat is not a trump card, you can beat it off. If this card is a trump card, then it can be beaten off accordingly, by a trump card of the highest value. If a player discards this card, other players can pop up cards of the same value that lie on the table. The right to throw the first belongs to the player who made the first move (but not at the first draw of cards, as distributed on one card), then the right to throw passes to other players clockwise. If the player who fights off will beat all laid out cards, then the cards go to hang-out, they are put in a closed stack and they do not accept participation in the game. If the player who fights does not beat all laid out cards, then he takes all these cards himself. After that, all the players after the first draw get to 2, after the second drawing to 3, after the third to 4 and so on until the possibility of card selection is given, that is, while there are cards in the deck. Players get the cards clockwise. It should be noted that when playing together with a deck of 36 cards, if one of the players constantly draws cards that come to him, the number of cards for the player who gets can reach up to 18. Thus, the game goes on until There will be one player with cards on hand. This player is considered a loser and is called a "fool".