need help simple program

Hi need help with this: I want to code an array of 20 individuals sitting at
a circular table where they play a game. The game is not important. What is important is that they play in sequence, clockwise. Any one of the 20 players can leave at any time, and a player can sit to play at any time. I don't think sorting by name is going to help, will assigning a numbered position work?
a one-way circular linked list would work just like that. The "clockwise" would just be assumed.
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