Author: Reinhard Scharnagl
Date: 04:17:44 03/03/05
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Hi Dieter, again I try again to calulate how many legal positions could be possible on an 8x8 board with all pieces used. in each file there will be 15 possible valid pP configurations: 01: -p----P- 02: -p---P-- 03: -p--P--- 04: -p-P---- 05: -pP----- 06: --p---P- 07: --p--P-- 08: --p-P--- 09: --pP---- 10: ---p--P- 11: ---p-P-- 12: ---pP--- 13: ----p-P- 14: ----pP-- 15: -----pP- covering castling rights could be reached by supporting three additional places for each king with the meaning: original place with left, right or double castling rights. placing all pawns: 15^8 placing white king + castling rights: 51 = (48+3) placing black king + castling rights: 50 = (47+3) placing two white Bishops at worst: 23*23 placing two black Bishops at worst: 22*22 placing 2 white Knights: 42*41/2 placing 2 black Knights: 40*39/2 placing 2 white Rooks: 38*37/2 placing 2 black Rooks: 36*35/2 placing white Queen: 34 placing black Queen: 33 side to move 2 affected e.p. file or none 9 -------------------------------------------- estimated possibilities 51*25*9*(23^2)*(11^2)*(15^8)*42!/*32! this is meaning about 112.95 bits. Reinhard.
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