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Subject: Re: How many possible moves in one position?

Author: Machiel de Heer

Date: 14:10:06 12/08/97

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On December 07, 1997 at 22:20:22, Don Dailey wrote:

>>>Could you tell me what is the maximum number of legal moves in a
>>>chess game position?
>>>A) In theory?
>>>B) In practice?
>
>
>>3r2k1/1p3ppp/p4P2/P3r3/1P3nPP/5RQ1/2q5/R6K b - -    ; 65 legal moves.
>
>>>Q6Q/4Q3/1Q6/5Q2/2Q5/R5Q1/3Q2NN/1R3KBk w - -    ; 195 moves.
>
>
>Here is an 82 move one found in the search from a normal position:
>
> 1r1Q3r/5k1p/B3b1N1/2p1QN2/4p3/8/1PP3KP/R3R3 w - -  ; 82 legal moves
>
>But I noticed there were 2 queens on the board.  White had 2 queens,
>2 mobile rooks a mobile bishop and even the king had 7 sqaures it
>could move to.  Both knights were pretty mobile and there were 3 pawns
>each on the board.  The position looked natural, not like a
>construction.
>Since a lot of pieces were close to maximum mobility it would be hard
>for me to believe a 100 move position even exists with only 1 queen on
>the board.
>
>If each piece had maximum mobility and no multiple pieces were allowed
>unless they existed from the opening position:
>
>27  queen
> 8  knight
> 8  knight
>13  bishop
>13  bishop
>14  rook
>14  rook
> 8  king
>---------
>105 moves.
>
>The pawns could add moves but it's hard to believe they
>would not interfere with the range of other pieces.  Also it's hard
>to believe the pieces themselves would not interfere with each other.
>
>I believe it will be truly difficult if not impossible to find a
>position
>with 100 legal moves possible assuming only up to 1 queen and 2 of
>everything
>else.  With multiple queens we see it's quite possible to exceed 200
>moves.
>
>-- Don

Hi Don,

I've played a bit with the "1 queen, 2 of everything else"-problem
(pawns excluded). Initially i could only get to 99, but:

4k3/8/4N3/4B3/2N1B1K1/1R7/5Q2/3R4 w - -   ; 100 legal moves

Hope i didn't miscount. My program wouldn't accept it.
Seems to be the maximum, since the Queen + 2 Bishops can only get to 49
(out of a possible 53), after which there isn't enough space left for
the knights (giving up one square). Can't prove it though :-)

-- Machiel



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