Many members of the club disliked the lack of variety and togetherness at the club. Although the club still had 12 members, some members were threatening to quit because each schedule was so short and there were so few people around each table.

To satisfy their request, the club decided to seat themselves around a big table and create a longer schedule. The twelve members of the club seated themselves in a schedule such that during each block of 55 days, no person was between the same pair of people. How was the schedule constructed?

(Based on The Round Table)

(In reply to re: No solutions for the 7 person case? - YES THERE IS! by GOM)

Well it's passed my validation check! I'm very impressed.

Given that my program was supposedly an exhaustive search, there must be an error somewhere. As promised, I will post the source code on the net once I tidy up a bit and preferably after I've fixed it to find the above solution ;)

Posted by Glorat on 2004-08-15 14:20:38