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axedrez
3/22/2003 09:16:10 [ report this post ] |
Subject: Making You Think
Message: What is the most possible moves by BOTH sides (excluding en passant captures) in any position (x)? There are two catches. The position does not have to arise from a game. You can choose to put the 16 pawns, 4 knights, 4 bishops, 4 rooks, 2 queens, and 2 kings wherever you want. Secondly, the kings cannot be in check.
The position must be a legal position (e.g. no pawns on the [1/8] ranks)? [No, pawns cannot be promoted already.] Can anyone find a position with more than 60 possible moves? 80? 100?
We could have a contest in which you tell how many moves your position has. If someone accuses you of lying, you can actually show where the pieces would be (Rw@a1) where 'w' stands for white.
I know this contest seems difficult. But I urge you to try to find a position with a lot of moves. Set it up on a chess board.
Now, see if you can beat me. My record is 88 different moves from BOTH sides. See if you can beat it.
-Good Luck
AxEdreZ
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honololou
3/22/2003 10:15:47 [ report this post ] | I seem to remember�
Message: encountering some interesting solutions to this problem on
Tim Krabbe's web site:
www.xs4all.nl/~timkr/chess/chess.html
I looked but couldn't find the page in question.
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javelin
3/22/2003 15:24:05 [ report this post ] | 88?
Message: Must be much more. If I place 8 rooks in a diagonal (i.e. from a1 to h8), I get 8x7x2=112 moves (nr of rooks*nr of available squares on 1 line * the number of lines a rook has).
I think that placing 8 queens so that they could not capture eachother is even better. One way (of the 92 ways) is to place them on:
a8, b2, c4, d1, e7, f5, g3, h6
which would lead to
21+23+25+21+23+25+23+21=182
There may be queen formations which have even more possible moves.
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javelin
3/22/2003 15:26:39 [ report this post ] | oh
Message: I misunderstood your both, you meant both at the same time.
That would be harder indeeed ...
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javelin
3/22/2003 15:38:03 [ report this post ] | but
Message: I would get more moves per side with
4 white + 4 black queens :)
if queen values are dealt as follows
color a
21
23
23
23
color b
21
21
25
25
then color a has 90 moves and color b has 92
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javelin
3/22/2003 15:41:29 [ report this post ] | AND
Message: even if I have to place 2 kings to get a legal position (without a check), I would end up with 89 moves :D
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javelin
3/22/2003 15:46:30 [ report this post ] | to be precise
Message: 89 for color a
91 for color b
like I said before, there may be better queen formations amongst the 92 possible ones than this one.
checkout this funny problem solver
www.configit-software.com/demo1//configit/queen/queen.asp
and some info
www.configit-software.com/p_221.html
[DISCLAIMER] I assumed their 92 to be correct, I have not calculated it myself :)
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amleto
3/24/2003 05:24:57 [ report this post ] | jav,
Message: u have misread, there are only two queens
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dozer
3/24/2003 05:30:59 [ report this post ] | Yes
Message: Read the first post carefully javelin: no pawns have been promoted, so there are no additional pieces!
Kind Regards,
Dozer
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stenlis
3/24/2003 07:28:10 [ report this post ] | very nice puzzle
Message: i scored 210 with all the given rules. However it is not possible for this position to come out from a game.
I think that it can still be improved...
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stenlis
3/24/2003 07:30:37 [ report this post ] | sorry
Message: i miscounted
its only 186
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stenlis
3/24/2003 09:28:39 [ report this post ] | correct answer
Message: hmm... cannot find a position with more moves than that one...
did anybody find more?
or does anybody know the correct solution?
I wonder how close I have been
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axedrez
3/24/2003 17:50:56 [ report this post ] |
Message: good job stenlis! I was only able to find a position with 176 different moves (88 from both sides). Perhaps someone can find more?
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