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The Hobbled Rook Tour


Best Answer Prime, 02 February 2013 - 10:14 PM

Same as Kingly Tour.

Spoiler for It's a game
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#1 bonanova

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Posted 02 February 2013 - 06:59 PM

The Kingly Tour may have involved more work and exhibited less beauty

than a good puzzle should. :blush: 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?


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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
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#2 flamebirde

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Posted 02 February 2013 - 08:57 PM

Any as in any true rook move or like as in your last puzzle?


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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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#3 Prime

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Posted 02 February 2013 - 10:14 PM   Best Answer

Same as Kingly Tour.

Spoiler for It's a game

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Past prime, actually.


#4 bonanova

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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.

 

Spoiler for Imagine


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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
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