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The Hobbled Rook Tour
Posted 02 February 2013 - 06:59 PM
The Kingly Tour may have involved more work and exhibited less beauty
than a good puzzle should. So let's allow N E W S moves only, like
a Rook, but limit moves to one square at a time, like a hobbled Rook.
A hobbled Rook tours an nxn chessboard without visiting a square twice. Your
opponent begins by placing the hobbled Rook in any corner. Thereafter, you and
she alternate making single-square N E S W moves. A player loses when there
is no previously unoccupied square available for a move.
For what n do you have a winning strategy?
Is there an n for which you have a winning strategy in the modified case
where your opponent can make any move on her turn, while you are
constrained to make single-square N E S W moves only?
Vidi vici veni.
Posted 02 February 2013 - 08:57 PM
Any as in any true rook move or like as in your last puzzle?
Mafiosos and mafiosas of the world, unite! And then kill each other in a particularly tricky move that everyone suspects but never anticipates.
stand back. I'm going to apply logic.
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Posted 02 February 2013 - 10:14 PM Best Answer
Same as Kingly Tour.
Past prime, actually.
Posted 15 February 2013 - 05:48 AM
Same as Kingly Tour.Spoiler for It's a game
You have it. Here is a succinct approach.
Vidi vici veni.
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