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The Conversing Club 3 (Posted on 2004-03-28) Difficulty: 5 of 5
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)

No Solution Yet Submitted by Gamer    
Rating: 4.5714 (14 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
I give up !! :-( | Comment 26 of 62 |
After refining my program to include a check for dead-end conditions, and to cycle back to try again every time it found one, I let the the program run for hours on end, all night and much of the day, for many days, and never got beyond a 45-day schedule. That was the best I ever achieved. So I give up any hope of solving this puzzle. (If I were as smart as Charlie, I would have thrown in the towel months ago, as he did).   
  Posted by Penny on 2004-07-15 08:38:35
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