Preparation: First, syrup your sugar. Then shake all non-fizzy liquids over ice and strain into ice filled glasses. Add coke and lime slice garnish.
General Comments: This is a lot of work to put together, but it's worth it. It's not tremendously difficult to mix sweet and bitter in such a way as to impress some people, but doing it so that it works across the board. That's exactly what the LIIT does, and it does it both with style, and with gin. Opinions can differ which of those is the most important.
(Not really. It's a trick question: gin is style.)