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I think the question can be rephrased more formally as: Given a set $S$ of $n$ elements, what is the shortest sequence $C_i$ of sets of unordered pairs in $S$ such that each unordered pair occurs in exactly one $C_i$ and no pairs in a given $C_i$ "overlap"? Imagine a long table with a seat at one end and $\frac$ seats along each long side. After each round, each person moves one seat clockwise. This gets us N-1 rounds in the even case, which is optimal. I run gay speed dating events and have the seating charts for 12 participants up to 22.You should be able to convince yourself that each person meets each other after N rounds, but you can't do better as each person needs to meet N-1 others and has to sit out once. It's a little complex, but essentially you split the room into 2 parts, and then have 1/2 the room meet the other 1/2.If you are unsure, ask the organizers what people usually wear.They sure have a lot of speed dating tips to share as well.Each participant is seated in front of his date and when the host is blowing the whistle it is the signal it is time to move on to the next date.It goes on and on until you finish all your mini dates.Not only that, think about it, you would have spent that time and money 25 times!In dating for the first time, first impressions can last a lifetime... More so in speed dating where couples are given several minutes to get to know each other.
Speed Dating events are usually offered in your area by local operators of nationwide Speed Dating outfits such as Fast Life, Hurry Date, Fastdater, Pre-Dating, ...Just imagine, you arrive to a blind date with high hopes only to discover in as little as 15 seconds you are not attracted at all to the date partner.