Author: Steven J. Edwards
Date: 11:49:57 08/06/98
Fellow programmers: A few days ago I posted the number of distinct seven ply pathways from the initial position (3,195,901,860), a result that took about seven hours to calculate on a 200 MHz PPC 604e. The count for eight ply long pathways is 84,998,978,956. This took 7 days 20 hours 49 minutes on the same machine. The branching ratio is about 26.596. Under the not so ridiculous assumption that this ratio might hold closely enough for projections, the guess for the ply nine count would be about 2,261,000,000,000 and the ply ten guess would be about 60,134,000,000,000 (ca. sixty trillion). With the eight ply long pathways, the subtree grown from e4 (the largest) is about 2.97 times the size of that grown from f3 (the smallest). -- Steven (sje@mv.mv.com)
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