Author: Dan Ellwein
Date: 04:55:59 01/13/00
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On January 13, 2000 at 02:59:23, Timothy J. Frohlick wrote: >> >>Dan, >> >>I don't think the "a" pawn is going to end up on the e,f,g,or h files and don't >>forget that the black pawns prevent occupation except by capture of the white >>pawns. You also have to account for en passant which usually occurs only once >>per game at most. >> >[D]8/pppppppp/8/8/8/8/PPPPPPPP/8 w >> >>So the progression should be 20x19x18....etc and be extended out for a total of >>sixteen pawns. 20x19x18x17x16x15x14x13x12x11x10x9x8x7x6x5x4= 8.109673360589e+17 >>which is a pretty big number of possibilities. Even if we limited the combos >>to (Whitemoves x 10x9x8x7x6x5x4x3) + (Blackmoves x 10x9x8x7x6x5x4x3)=3,628,800 >>possibilities you can see that we will not run out of moves soon. If the >>average game is 75 moves or 150 ply we would have to play at least 24,192 games >>to exhaust the possibilities. Again, since not every move is a pawn move we >>would have a variable number of pawn moves and positions. So if only one >>quarter of our moves are pawn moves we would have to play about 100,000 games to >>come to a correct estimation of the number of different pawn structures. >> >>This is just my opinion and is probably wrong. >> >>Tim Frohlick thanks for the input.. i am now seeing pawn positions which are not possible... ie [D]8/pppppppp/8/8/8/7P/1PPPPPPP/8 w and many others like this...
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