Mad Hatter and his strings

Mad Hatter and Alice are on their way to the Tea Party. It's a very long journey to the palace where the party is held. On their way, Alice invites Hatter to play a game so that the could pass the time. Mad Hatter, being the repository of mad games, introduces a new game of strings to Alice. Alice is super exited to play this game. Hatter explains the rules of the game as below: Hatter gives Alic