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 Still on the case
No offense Glorat, but I'm hoping that Hugo and I can find a solution before your computer does. The fact that Gamer originally posted this puzzle as difficulty 3 practically convinces me that there is a pattern here.
I'm not up on the current programming that is out there. If you want to talk about DOS 5.0 though, I'm right there with you brother. Anything past Windows 3.1 and I'm at a serious disadvantage.
I wonder if it is possible for you to write a program that looks for a pattern instead of random or scripted arrangements. Do you think you can write a program that looks for patterns?
Has anyone attempted this approach?
Trust me, I don't want your computer to solve this before I can, but I don't want you to limit yourself either. If writing programs is your thing, go for it. What I do believe is that to expand the mind, you sometimes have to step back and say, "Is there another way to approach this problem?"
It could be that you find a program that will solve this puzzle in half a second.
If you do, you better post it as a solution. I don't want to see it.