Member: Rank 8
One minute before noon , you have an INFINITE number of ping pong balls outside a room, all numbered . You throw in balls 1 +2, immediately ball 1 is thrown back out. Half a minute before noon 3+4 are thrown in and number 2 thrown out. At a quarter of a minute to noon balls 5+6 are thrown in and number 3 is thrown out. At an eighth of a minute to noon 7+8 in and 4 out ad infinitum.... How many balls are in the room at Noon ?