Author: Andreas Stabel
Date: 03:04:38 10/02/01
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On October 01, 2001 at 18:21:09, Dann Corbit wrote: >On October 01, 2001 at 18:11:10, robert flesher wrote: > >>It has been calculated that the four opening moves can be made in 197,299 ways, >>leading to some 72,000 different positions. The approximate numbers of different >>games possible is 25x10 to the power of 116. a number astronomically higher that >>the number of atmos in the observable universe. This Quote was directly taken >>from Guiness book of world records 1976 edition. WOW and this is why chess is so >>damn hard. :) > >Unfortunately, they don't know what they are talking about. >There are 197,281 different ways to make the 4 opening moves. >There are 99,270 distinct positions at ply 4 (including e.p vulnerability). >The other numbers are equally suspect. >This has some interesting information: >http://www.clark.net/pub/pribut/chessfaq.html >Though the actual length of the longest possible game may be open to a bit of >debate. I have seen slightly different figures given elsewhere. My program has generated the following table - which does not seem to match your numbers very well. Table from opening position: | | Unique nodes | Unique nodes II Unique nodes | Factor | Ply| Total # nodes | ep = pawn two | ep = oppositeII ep = Only if | prev. | | | | pawn can hit II ep is legal | row | ---+---------------+---------------+--------------II---------------+--------| 0 | 1 | 1 | 1 II 1 | | 1 | 21 | 21 | 21 II 21 | 21.00 | 2 | 421 | 421 | 421 II 421 | 20.05 | 3 | 9323 | 8023 | 5783 II 5783 | 13.74 | 4 | 206604 | 109262 | 77796 II 77796 | 13.45 | 5 | 5072213 | 1351950 | 898812 II 898812 | 11.55 | 6 | 124132537 | 15334851 | 10281864 II 10281862 | 11.44 | 7 | 3320034397 | 160373323 | 106193912 II 106193643 | 10.33 | 8 | 88319013353 | | II | | 9 | 2527849247520 | | II | | Regards Andreas Stabel
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