Author: Phil Dixon
Date: 14:28:30 08/09/99
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On August 09, 1999 at 16:14:13, Bruce Moreland wrote: > >On August 09, 1999 at 15:29:44, blass uri wrote: > >> >>On August 09, 1999 at 13:46:37, José de Jesús García Ruvalcaba wrote: >> >>> I finally sat down and make all the computations from scratch and then >>>rechecked the results. >>>Number of 5+1 tablebases: 40 >>>Number of 4+2 tablebases: 200 >>>Number of 3+3 tablebases: 120 >>>Total number of six men tablebases: 360 >>> If there is interest I can explain how I got the results, they are simple >>>combinatorics problems. >>>José. >>Your calculation is wrong. >>For example the first number is 70 >> >>if I represent P=1,N=2,B=3,R=4,Q=5 then the I can represent every 5+1 material >>configuration(4+0 without kings) as 4 numbers and the number of possible >>configuration is 70 >> >>I can represent pppp configuration by 1111 >>pppn by 1112 pppb by 1113 >> >>You can count non decreasing sequence of 4 numbers(out of numbers 1,2,3,4,5) >>1111 1112 1113 1114 1115 >>1222 1223 1224 1225 1233 >>1234 1235 1244 1245 1255 >>1333 1334 1335 1344 1345 >>1355 1444 1445 1455 1555 >>2222 2223 2224 2225 2233 >>2234 2235 2244 2245 2255 >>2333 2334 2335 2344 2345 >>2355 2444 2445 2455 2555 >> >>are only 45 options. >> >>You can translate every non decreasing sequence by adding 1 to the second >>number, adding 2 to the 3th number and adding 3 to the 4th number. >> >>The problem is how many increasing sequences you can choose from the numbers 1-8 >> and the answer is 8!/(4!*4!)=70 >> >> >>Uri > >By my count, there are 5 3-man databases, 30 4-man databases, 110 5-man >databases, 365 6-man databases, and 1001 7-man databases. > >bruce Is it possible to generate a six-man tablebase with pawns in a reasonable amount of time? Will there be one someday? Is anyone working on it? Regards, Phil
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