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axedrez

3/22/2003
09:16:10

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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


honololou

3/22/2003
10:15:47

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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.


javelin

3/22/2003
15:24:05

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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.


javelin

3/22/2003
15:26:39

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oh

Message:
I misunderstood your both, you meant both at the same time.

That would be harder indeeed ...


javelin

3/22/2003
15:38:03

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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




javelin

3/22/2003
15:41:29

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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

javelin

3/22/2003
15:46:30

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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 :)


amleto

3/24/2003
05:24:57

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jav,

Message:
u have misread, there are only two queens

dozer

3/24/2003
05:30:59

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Yes

Message:
Read the first post carefully javelin: no pawns have been promoted, so there are no additional pieces!

Kind Regards,
Dozer


stenlis

3/24/2003
07:28:10

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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...


stenlis

3/24/2003
07:30:37

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sorry

Message:
i miscounted

its only 186


stenlis

3/24/2003
09:28:39

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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


axedrez

3/24/2003
17:50:56

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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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