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Subject: 40 & 41

Author: Hans Havermann

Date: 08:47:55 03/29/98


What is the most likely length (number of white moves) of an existing
game of chess?

Here are the numbers culled from 994324 games taken from the "Essentia"
million-game CD (1005474 games minus 11150 "likely" duplicates):

  1      2
  2      2
  3      7
  4     41
  5    472
  6    882
  7   1399
  8   2249
  9   3099
 10   4917
 11   5558
 12   6661
 13   7164
 14   8340
 15   9606
 16  10464
 17  12026
 18  12798
 19  14372
 20  16289
 21  17133
 22  18368
 23  19390
 24  21053
 25  22597
 26  22994
 27  24164
 28  25029
 29  25666
 30  27899
 31  26879
 32  26856
 33  27095
 34  26352
 35  27194
 36  26376
 37  25956
 38  25244
 39  25743
 40  35685
 41  38183
 42  26954
 43  21591
 44  19326
 45  18228
 46  17029
 47  15824
 48  15013
 49  14018
 50  14324
 51  13548
 52  12010
 53  11115
 54  10519
 55   9860
 56   9821
 57   9612
 58   8434
 59   7717
 60   9750
 61   8776
 62   6635
 63   5638
 64   5003
 65   4571
 66   4167
 67   3723
 68   3480
 69   3157
 70   2885
 71   2697
 72   2459
 73   2416
 74   1984
 75   1881
 76   1611
 77   1457
 78   1329
 79   1178
 80   1507
 81   1185
 82    859
 83    727
 84    701
 85    580
 86    582
 87    526
 88    484
 89    494
 90    438
 91    341
 92    297
 93    275
 94    266
 95    324
 96    195
 97    208
 98    181
 99    157
100    237
101    176
102    120
103    123
104    112
105    124
106     84
107     81
108     79
109     82
110     45
111     60
112     63
113     53
114     45
115     44
116     38
117     36
118     33
119     29
120     40
121     34
122     18
123     30
124     15
125     17
126     19
127     19
128     19
129     13
130     15
131     13
132      9
133      7
134      8
135      7
136      4
137     10
138      6
139      8
140      4
141      1
142      3
143      4
144      3
145      2
146      2
147      2
148      4
149      2
150      4
151      3
152      3
153      3
154      2
155      7
156      2

158-200 27



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