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Question of the Week Archive (10+ years)

Re(1): Teams at Game Point

Just to respond to the 'theory' part, where you wonder if it's mathematically impossible to happen.

It's a quirky thing, but the longest possible game happens to be easy as pi to create.

If you simply let every post that scores a point run to game before losing, a maxed out scoreboard where the first 7 posts have 6 points and the post 8 has 5 will just fall into place.

In following that path, where we assume post 1 wins the first point, the posts that reach game point and don't win are:

1, 8, 4, 1, 7, 8, 3, 4, 1, 6, 7, 8, 2, 3, 4,

and finally we reach forced game point between 5 and 1.

So that works out to 17 possible game points.

I added a feature to my rotation board program a a while ago that allows you to print out an html chart at any point of the game. So here is a sample near the beginning of that sequence which might make it possible to visualize the rest.

This message board system require you to scroll way down to see it, but it's there.

4 7 1 2 3 8 5 6
6 0 6 0 0 5 0 0

If you would like to see the final maxed out scores, scroll way down again.

5 1 6 7 8 2 3 4
6 6 6 6 5 6 6 6


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