「手数の積」の平均（相加平均）
ランダムに発生させた棋譜のｎ手目までの「各手数の積」で相加平均を取ってみました。
100万回発生。最終（60手目）で6.45E+54
| 手 |
回数 |
最大 |
最小 |
パス |
手数の積の合計 |
平均 |
終了 |
終了時積の合計 |
終了込みの平均 |
| 1 |
1000000 |
4 |
4 |
0 |
4000000 |
4.0000 |
0 |
0 |
4.0000 |
| 2 |
1000000 |
3 |
3 |
0 |
12000000 |
12.0000 |
0 |
0 |
12.0000 |
| 3 |
1000000 |
5 |
4 |
0 |
55990452 |
55.9905 |
0 |
0 |
55.9905 |
| 4 |
1000000 |
6 |
2 |
0 |
243907572 |
243.9076 |
0 |
0 |
243.9076 |
| 5 |
1000000 |
9 |
3 |
0 |
1395731112 |
1395.7311 |
0 |
0 |
1395.7311 |
| 6 |
1000000 |
11 |
1 |
0 |
8196712680 |
8196.7127 |
0 |
0 |
8196.7127 |
| 7 |
1000000 |
12 |
2 |
0 |
55062953148 |
55062.9531 |
0 |
0 |
55062.9531 |
| 8 |
1000000 |
14 |
1 |
0 |
390127642704 |
390127.6427 |
0 |
0 |
390127.6427 |
| 9 |
1000000 |
15 |
1 |
826 |
3002930446896 |
3002930.4469 |
0 |
0 |
3002930.4469 |
| 10 |
999856 |
16 |
1 |
144 |
2.455684e+013 |
24560378.9025 |
144 |
212992080 |
24557055.2000 |
| 11 |
999832 |
18 |
1 |
358 |
2.120484e+014 |
212084057.645 |
24 |
381667104 |
212049022.183 |
| 12 |
999759 |
18 |
1 |
103 |
1.938041e+015 |
1938507719.27 |
73 |
6665705520 |
1938047799.27 |
| 13 |
999739 |
20 |
1 |
243 |
1.841269e+016 |
18417501301.5 |
20 |
13643887896 |
18412715237.9 |
| 14 |
999685 |
20 |
1 |
96 |
1.838546e+017 |
183912559609.2 |
54 |
268554667920 |
183854916611.9 |
| 15 |
999662 |
21 |
1 |
207 |
1.889574e+018 |
1890212913773 |
23 |
931941048384 |
1889575243208 |
| 16 |
999623 |
22 |
1 |
73 |
2.028839e+019 |
2.029604e+013 |
39 |
1.238179e+013 |
2.028840e+013 |
| 17 |
999607 |
22 |
1 |
118 |
2.226029e+020 |
2.226904e+014 |
16 |
3.158001e+013 |
2.226029e+014 |
| 18 |
999568 |
23 |
1 |
91 |
2.533956e+021 |
2.535052e+015 |
39 |
8.500265e+014 |
2.533957e+015 |
| 19 |
999557 |
23 |
1 |
103 |
2.933203e+022 |
2.934503e+016 |
11 |
3.576132e+015 |
2.933203e+016 |
| 20 |
999534 |
24 |
1 |
73 |
3.499554e+023 |
3.501185e+017 |
23 |
9.145385e+016 |
3.499555e+017 |
| 21 |
999529 |
24 |
1 |
93 |
4.229437e+024 |
4.231430e+018 |
5 |
6.311460e+016 |
4.229437e+018 |
| 22 |
999517 |
25 |
1 |
55 |
5.234051e+025 |
5.236580e+019 |
12 |
1.096910e+018 |
5.234051e+019 |
| 23 |
999513 |
26 |
1 |
65 |
6.538077e+026 |
6.541262e+020 |
4 |
2.489361e+019 |
6.538077e+020 |
| 24 |
999507 |
25 |
1 |
44 |
8.332631e+027 |
8.336741e+021 |
6 |
3.572782e+019 |
8.332631e+021 |
| 25 |
999504 |
26 |
1 |
63 |
1.066457e+029 |
1.066986e+023 |
3 |
5.713211e+020 |
1.066457e+023 |
| 26 |
999503 |
27 |
1 |
42 |
1.386040e+030 |
1.386730e+024 |
1 |
5.420027e+018 |
1.386040e+024 |
| 27 |
999499 |
26 |
1 |
64 |
1.803559e+031 |
1.804463e+025 |
4 |
4.669012e+022 |
1.803559e+025 |
| 28 |
999493 |
25 |
1 |
44 |
2.370239e+032 |
2.371442e+026 |
6 |
5.137127e+022 |
2.370239e+026 |
| 29 |
999491 |
26 |
1 |
51 |
3.104261e+033 |
3.105842e+027 |
2 |
4.150048e+024 |
3.104261e+027 |
| 30 |
999488 |
26 |
1 |
50 |
4.090624e+034 |
4.092719e+028 |
3 |
5.765294e+022 |
4.090624e+028 |
| 31 |
999486 |
25 |
1 |
54 |
5.355326e+035 |
5.358080e+029 |
2 |
6.125765e+022 |
5.355326e+029 |
| 32 |
999485 |
25 |
1 |
40 |
7.018721e+036 |
7.022337e+030 |
1 |
5.563289e+024 |
7.018721e+030 |
| 33 |
999484 |
25 |
1 |
59 |
9.109220e+037 |
9.113923e+031 |
1 |
2.887305e+027 |
9.109220e+031 |
| 34 |
999484 |
24 |
1 |
41 |
1.176538e+039 |
1.177146e+033 |
0 |
0 |
1.176538e+033 |
| 35 |
999484 |
25 |
1 |
65 |
1.498493e+040 |
1.499267e+034 |
0 |
0 |
1.498493e+034 |
| 36 |
999483 |
23 |
1 |
62 |
1.892749e+041 |
1.893728e+035 |
1 |
4.240132e+026 |
1.892749e+035 |
| 37 |
999482 |
24 |
1 |
92 |
2.343442e+042 |
2.344657e+036 |
1 |
2.755375e+028 |
2.343442e+036 |
| 38 |
999480 |
23 |
1 |
88 |
2.863027e+043 |
2.864517e+037 |
2 |
1.288737e+033 |
2.863027e+037 |
| 39 |
999480 |
22 |
1 |
77 |
3.408375e+044 |
3.410148e+038 |
0 |
0 |
3.408375e+038 |
| 40 |
999479 |
21 |
1 |
88 |
3.986875e+045 |
3.988953e+039 |
1 |
1.064316e+033 |
3.986875e+039 |
| 41 |
999478 |
20 |
1 |
130 |
4.525215e+046 |
4.527578e+040 |
1 |
5.260374e+028 |
4.525215e+040 |
| 42 |
999478 |
19 |
1 |
118 |
5.001666e+047 |
5.004278e+041 |
0 |
0 |
5.001666e+041 |
| 43 |
999478 |
18 |
1 |
147 |
5.333542e+048 |
5.336328e+042 |
0 |
0 |
5.333542e+042 |
| 44 |
999478 |
17 |
1 |
148 |
5.509897e+049 |
5.512775e+043 |
0 |
0 |
5.509897e+043 |
| 45 |
999478 |
16 |
1 |
244 |
5.451853e+050 |
5.454700e+044 |
0 |
0 |
5.451853e+044 |
| 46 |
999477 |
15 |
1 |
263 |
5.166896e+051 |
5.169600e+045 |
1 |
2.965605e+034 |
5.166896e+045 |
| 47 |
999476 |
14 |
1 |
350 |
4.670620e+052 |
4.673069e+046 |
1 |
1.188817e+035 |
4.670620e+046 |
| 48 |
999476 |
13 |
1 |
422 |
3.992157e+053 |
3.994250e+047 |
0 |
0 |
3.992157e+047 |
| 49 |
999476 |
12 |
1 |
610 |
3.187018e+054 |
3.188689e+048 |
0 |
0 |
3.187018e+048 |
| 50 |
999475 |
11 |
1 |
818 |
2.390646e+055 |
2.391901e+049 |
1 |
3.891959e+037 |
2.390646e+049 |
| 51 |
999474 |
10 |
1 |
1246 |
1.655106e+056 |
1.655977e+050 |
1 |
6.251759e+041 |
1.655106e+050 |
| 52 |
999472 |
9 |
1 |
1758 |
1.052296e+057 |
1.052852e+051 |
2 |
2.553058e+042 |
1.052296e+051 |
| 53 |
999472 |
8 |
1 |
2677 |
6.017631e+057 |
6.020810e+051 |
0 |
0 |
6.017631e+051 |
| 54 |
999471 |
7 |
1 |
4199 |
3.073180e+058 |
3.074807e+052 |
1 |
5.376850e+042 |
3.073180e+052 |
| 55 |
999468 |
6 |
1 |
6771 |
1.367081e+059 |
1.367808e+053 |
3 |
3.748510e+046 |
1.367081e+053 |
| 56 |
999463 |
5 |
1 |
11980 |
5.169792e+059 |
5.172569e+053 |
5 |
1.257208e+048 |
5.169792e+053 |
| 57 |
999454 |
4 |
1 |
21779 |
1.598786e+060 |
1.599659e+054 |
9 |
2.473527e+049 |
1.598786e+054 |
| 58 |
999425 |
3 |
1 |
43628 |
3.813304e+060 |
3.815498e+054 |
29 |
7.035471e+053 |
3.813305e+054 |
| 59 |
999093 |
2 |
1 |
97333 |
6.452091e+060 |
6.457948e+054 |
332 |
3.217188e+055 |
6.452124e+054 |
|60| 990242| 1| 1|256742| 6.444534e+060| 6.508040e+054| 8851| 7.556554e+057| 6.452124e+054|
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最終更新：2007年12月09日 22:39
