Statement

Giorgio is organizing an amazing board game night. He has invited N friends, and they are going to play Pay That Box! Home Edition, the board game version of the homonymous game show. Giorgio really loves it: he owns several copies of it, so that there can be a lot of matches going on at the same time. The rules of the game state that it must be played by at least L and at most U players. Of course, Giorgio needs to make sure that he can split his friends into many groups such that each group has the correct number of players. He also needs to check that he has enough copies of the game. It would be a shame if someone would not be able to play! Given the number of friends, can you help Giorgio find out whether everybody will be able to play? If so, can you tell him the minimum number of copies of the game he needs?