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Subject: Re: 40 & 41

Author: Hans Havermann

Date: 13:28:30 03/29/98

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On March 29, 1998 at 14:53:32, Komputer Korner wrote:

>What is the average no. of moves of all this? anybody got a calculator?

Multiplying the length of the game by how many times that length occurs
gives us the following set of numbers (we exclude the 27 games greater
than length-156):

{2, 4, 21, 164, 2360, 5292, 9793, 17992, 27891, 49170, 61138, 79932,
93132, 116760, 144090, 167424, 204442, 230364, 273068, 325780, 359793,
404096, 445970, 505272, 564925, 597844, 652428, 700812, 744314, 836970,
833249, 859392, 894135, 895968, 951790, 949536, 960372, 959272, 1003977,
1427400, 1565503, 1132068, 928413, 850344, 820260, 783334, 743728,
720624, 686882, 716200, 690948, 624520, 589095, 568026, 542300, 549976,
547884, 489172, 455303, 585000, 535336, 411370, 355194, 320192, 297115,
275022, 249441, 236640, 217833, 201950, 191487, 177048, 176368, 146816,
141075, 122436, 112189, 103662, 93062, 120560, 95985, 70438, 60341,
58884, 49300, 50052, 45762, 42592, 43966, 39420, 31031, 27324, 25575,
25004, 30780, 18720, 20176, 17738, 15543, 23700, 17776, 12240, 12669,
11648, 13020, 8904, 8667, 8532, 8938, 4950, 6660, 7056, 5989, 5130,
5060, 4408, 4212, 3894, 3451, 4800, 4114, 2196, 3690, 1860, 2125, 2394,
2413, 2432, 1677, 1950, 1703, 1188, 931, 1072, 945, 544, 1370, 828,
1112, 560, 141, 426, 572, 432, 290, 292, 294, 592, 298, 600, 453, 456,
459, 308, 1085, 312}

The sum of these numbers is 37423159; divided by 994297 (the number of
games) yields 37.6 moves per game.



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