BrainKing - Diskussionsforen (Lines of Action)

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Lines of Action

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25. Januar 2007, 19:04:03

Czuch

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What happens when you capture all your opponents pieces except the last one? Do they get the win, or is it impossible for them to get the win?

25. Januar 2007, 19:07:09

coan.net

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Czuch Czuckers: I think it is a win - since all their pieces (one) are connected

25. Januar 2007, 19:36:13

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BIG BAD WOLF: You are probably correct about the win here on brainking, but I would bet it wouldnt take a mathematician long to prove that it is not possible to create a connected line with only one item! i think it should be a lose if you have less than one piece left!

25. Januar 2007, 20:42:43

nabla

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Czuch Czuckers: Any of the usual mathematical definitions of "group" and "connected" will imply that one single piece is a connected group.

25. Januar 2007, 23:11:28

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nabla: well, I stand corrected! thanks!