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 I will solve this puzzle if it takes all summer !! by Penny)

Penny, I think you can narrow it down even more than that. You can choose one letter, like 'L', then choose it's 2 neighbors for all 55 days. Then you will only have to find 9 letters for each day. Of course, they would be a different 9 letters each day. For ex.

LA---------B
LA---------C
LA---------D

And so on. 9! is only 362880. So it shouldn't be that hard. I wish I could write programs. I'da have this done already.

Posted by Danny on 2004-07-06 18:46:42