Rashida's team is standing in a circle, practicing passing by playing "rounds". In round 1 each player passes the ball to the player next
to them until it returns to Rashida, in round 2 they pass it to one
player away, skipping one student each time, until it returns to
Rashida. The team keeps skipping an additional player each round.
The game ends when Rashida must pass to herself.
Rashida's team plays the game and is only able to complete 20
total passes. Rashida's colach decides to join and they go through
all the rounds and still complete only 20 passes. How can this be?
The coach says there once was enough players
to complete 100 passes when playing "rounds,"
but Rashida can't figure out how many that
would be. Can you?