Ergebnisse
Die interessantesten Ergebnisse gleich vorneweg, selbstverständlich unter der Bedingung, dass die gesamte Berechnung korrekt war:
Die Abschätzung der Spielwege war mit 256 recht gut getroffen, zumindest was die Möglichkeiten betrifft, das Spiel zu gewinnen. Dazu gibt es nämlich (im Gesamt-Baum) etwas mehr als 255 Gelegenheiten. Recht gute Chancen also, wenn da nicht die Anzahl aller möglichen Spielwege wäre, die mit etwas weniger als 269 die Chancen eines Zufallstreffers auf ungefähr 0,007 Prozent runter ziehen. Die Anzahl der möglichen Spielfelder fällt dagegen richtig moderat aus.
| Main results dec/hex | ||
| All-Tree | Nrm-Tree | |
| WinWays | 40.861.647.040.079.968 91.2b73.94c2.e860 |
4.750.671.971.732.176 10.e0b6.0351.cad0 |
| EndWays | 577.116.156.815.309.849.672 1f.4918.76ee.5b2c.c448 |
65.248.182.347.232.914.994 3.8980.1c25.26bb.2e32 |
| Patterns | 187.636.299 b2f.1a4b |
23.475.688 166.35e8 |
| Patterns | ||||||
| Stones | s1 | s2 | s4 | s8 | Nrm | All |
| 32 | 1 | 0 | 0 | 0 | 1 | 1 |
| 31 | 0 | 0 | 1 | 0 | 1 | 4 |
| 30 | 0 | 0 | 1 | 1 | 2 | 12 |
| 29 | 0 | 0 | 1 | 7 | 8 | 60 |
| 28 | 0 | 0 | 4 | 35 | 39 | 296 |
| 27 | 0 | 1 | 6 | 164 | 171 | 1.338 |
| 26 | 0 | 0 | 26 | 693 | 719 | 5.648 |
| 25 | 0 | 1 | 52 | 2.704 | 2.757 | 21.842 |
| 24 | 1 | 1 | 109 | 9.640 | 9.751 | 77.559 |
| 23 | 0 | 1 | 200 | 31.111 | 31.312 | 249.690 |
| 22 | 0 | 2 | 404 | 89.521 | 89.927 | 717.788 |
| 21 | 1 | 1 | 630 | 228.982 | 229.614 | 1.834.379 |
| 20 | 0 | 13 | 1.113 | 516.728 | 517.854 | 4.138.302 |
| 19 | 0 | 6 | 1.637 | 1.020.581 | 1.022.224 | 8.171.208 |
| 18 | 0 | 13 | 2.413 | 1.751.311 | 1.753.737 | 14.020.166 |
| 17 | 2 | 9 | 3.104 | 2.595.100 | 2.598.215 | 20.773.236 |
| 16 | 0 | 30 | 4.095 | 3.308.298 | 3.312.423 | 26.482.824 |
| 15 | 0 | 14 | 4.524 | 3.622.094 | 3.626.632 | 28.994.876 |
| 14 | 0 | 25 | 5.006 | 3.408.282 | 3.413.313 | 27.286.330 |
| 13 | 2 | 25 | 4.618 | 2.760.978 | 2.765.623 | 22.106.348 |
| 12 | 0 | 36 | 4.201 | 1.926.087 | 1.930.324 | 15.425.572 |
| 11 | 0 | 18 | 3.303 | 1.157.656 | 1.160.977 | 9.274.496 |
| 10 | 0 | 16 | 2.554 | 597.802 | 600.372 | 4.792.664 |
| 9 | 1 | 14 | 1.682 | 264.168 | 265.865 | 2.120.101 |
| 8 | 2 | 17 | 1.063 | 99.483 | 100.565 | 800.152 |
| 7 | 0 | 4 | 608 | 31.638 | 32.250 | 255.544 |
| 6 | 0 | 8 | 305 | 8.375 | 8.688 | 68.236 |
| 5 | 1 | 3 | 146 | 1.767 | 1.917 | 14.727 |
| 4 | 1 | 6 | 53 | 288 | 348 | 2.529 |
| 3 | 0 | 1 | 15 | 34 | 50 | 334 |
| 2 | 0 | 2 | 3 | 2 | 7 | 32 |
| 1 | 1 | 0 | 1 | 0 | 2 | 5 |
| Sum | 13 | 267 | 41.878 | 23.433.530 | 23.475.688 | 187.636.299 |
| Patterns with 0 moves | ||||||||
| Stones | s1 | s2 | s4 | s8 | Nrm | All | EndWays | EndWays |
| 32 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 31 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 30 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 29 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 28 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 27 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 26 | 0 | 0 | 1 | 0 | 1 | 4 | 3 | 32 |
| 25 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 24 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 23 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 22 | 0 | 0 | 0 | 1 | 1 | 8 | 35 | 280 |
| 21 | 0 | 0 | 1 | 0 | 1 | 4 | 2.755 | 31.920 |
| 20 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 19 | 0 | 0 | 3 | 2 | 5 | 28 | 38.283 | 386.416 |
| 18 | 0 | 1 | 2 | 7 | 10 | 66 | 2.014.596 | 18.168.144 |
| 17 | 0 | 0 | 4 | 3 | 7 | 40 | 5.719.572 | 52.363.776 |
| 16 | 0 | 2 | 7 | 18 | 27 | 176 | 57.220.683 | 569.426.456 |
| 15 | 0 | 1 | 17 | 29 | 47 | 302 | 3.968.549.525 | 36.408.754.040 |
| 14 | 0 | 2 | 35 | 84 | 121 | 816 | 42.805.922.801 | 380.028.309.224 |
| 13 | 1 | 3 | 71 | 298 | 373 | 2.675 | 961.491.685.586 | 8.520.659.218.816 |
| 12 | 0 | 7 | 117 | 801 | 925 | 6.890 | 21.916.673.234.267 | 195.539.172.954.288 |
| 11 | 0 | 5 | 156 | 1.811 | 1.972 | 15.122 | 422.186.835.743.995 | 3.720.848.140.835.952 |
| 10 | 0 | 7 | 220 | 3.119 | 3.346 | 25.846 | 6.043.888.140.842.924 | 53.107.584.231.437.936 |
| 9 | 1 | 3 | 233 | 4.119 | 4.356 | 33.891 | 69.091.760.894.790.982 | 604.666.435.961.470.144 |
| 8 | 1 | 11 | 231 | 4.013 | 4.256 | 33.051 | 502.953.576.983.317.086 | 4.407.068.360.590.383.432 |
| 7 | 0 | 3 | 173 | 2.878 | 3.054 | 23.722 | 2.463.112.722.515.436.182 | 21.625.765.333.357.588.280 |
| 6 | 0 | 7 | 134 | 1.574 | 1.715 | 13.142 | 9.438.207.850.754.170.985 | 82.475.526.111.015.358.616 |
| 5 | 1 | 3 | 77 | 584 | 665 | 4.987 | 15.506.455.687.657.611.921 | 135.521.776.905.015.042.336 |
| 4 | 1 | 5 | 31 | 145 | 182 | 1.295 | 23.798.702.545.404.040.382 | 210.993.770.838.107.635.688 |
| 3 | 0 | 1 | 13 | 25 | 39 | 254 | 11.637.474.680.924.178.480 | 105.088.038.911.515.040.128 |
| 2 | 0 | 2 | 2 | 2 | 6 | 28 | 1.816.193.178.174.929.599 | 16.260.787.716.385.283.832 |
| 1 | 1 | 0 | 1 | 0 | 2 | 5 | 9.501.343.943.464.352 | 81.723.294.080.159.936 |
| Sum | 6 | 63 | 1.529 | 19.513 | 21.111 | 162.352 | 65.248.182.347.232.914.994 | 577.116.156.815.309.849.672 |
| Moves | ||||||||||
| Stones | s1 | s2 | s4 | s8 | Nrm | s1 | s2 | s4 | s8 | All |
| 32 | 1 | 0 | 0 | 0 | 1 | 4 | 0 | 0 | 0 | 4 |
| 31 | 0 | 0 | 2 | 0 | 2 | 0 | 0 | 12 | 0 | 12 |
| 30 | 0 | 0 | 3 | 5 | 8 | 0 | 0 | 20 | 40 | 60 |
| 29 | 0 | 0 | 1 | 49 | 50 | 0 | 0 | 8 | 392 | 400 |
| 28 | 0 | 0 | 17 | 263 | 280 | 0 | 0 | 124 | 2.104 | 2.228 |
| 27 | 0 | 3 | 29 | 1.392 | 1.424 | 0 | 20 | 204 | 11.136 | 11.360 |
| 26 | 0 | 0 | 126 | 6.382 | 6.508 | 0 | 0 | 896 | 51.056 | 51.952 |
| 25 | 0 | 2 | 253 | 26.446 | 26.701 | 0 | 12 | 1.840 | 211.568 | 213.420 |
| 24 | 1 | 3 | 554 | 98.263 | 98.821 | 8 | 16 | 4.004 | 786.104 | 790.132 |
| 23 | 0 | 2 | 994 | 323.520 | 324.516 | 0 | 12 | 7.196 | 2.588.216 | 2.595.424 |
| 22 | 0 | 5 | 1.988 | 936.988 | 938.981 | 0 | 36 | 14.424 | 7.495.920 | 7.510.380 |
| 21 | 1 | 2 | 3.060 | 2.386.802 | 2.389.865 | 8 | 16 | 22.028 | 19.094.616 | 19.116.668 |
| 20 | 0 | 29 | 5.176 | 5.307.548 | 5.312.753 | 0 | 196 | 37.392 | 42.460.400 | 42.497.988 |
| 19 | 0 | 13 | 7.462 | 10.221.240 | 10.228.715 | 0 | 84 | 53.688 | 81.770.424 | 81.824.196 |
| 18 | 0 | 21 | 10.642 | 16.929.460 | 16.940.123 | 0 | 136 | 76.712 | 135.435.744 | 135.512.592 |
| 17 | 2 | 15 | 13.136 | 23.974.107 | 23.987.260 | 12 | 104 | 93.888 | 191.793.584 | 191.887.588 |
| 16 | 0 | 51 | 16.331 | 28.909.998 | 28.926.380 | 0 | 344 | 117.188 | 231.280.088 | 231.397.620 |
| 15 | 0 | 20 | 16.949 | 29.594.813 | 29.611.782 | 0 | 112 | 119.836 | 236.759.640 | 236.879.588 |
| 14 | 0 | 40 | 16.978 | 25.708.215 | 25.725.233 | 0 | 236 | 120.408 | 205.665.912 | 205.786.556 |
| 13 | 1 | 35 | 14.462 | 18.960.229 | 18.974.727 | 4 | 220 | 100.432 | 151.682.768 | 151.783.424 |
| 12 | 0 | 46 | 11.722 | 11.861.719 | 11.873.487 | 0 | 288 | 81.512 | 94.893.856 | 94.975.656 |
| 11 | 0 | 20 | 8.313 | 6.278.093 | 6.286.426 | 0 | 100 | 56.520 | 50.225.464 | 50.282.084 |
| 10 | 0 | 15 | 5.631 | 2.792.477 | 2.798.123 | 0 | 80 | 38.172 | 22.339.912 | 22.378.164 |
| 9 | 0 | 13 | 3.189 | 1.037.168 | 1.040.370 | 0 | 76 | 20.972 | 8.297.600 | 8.318.648 |
| 8 | 1 | 8 | 1.656 | 319.358 | 321.023 | 8 | 48 | 10.748 | 2.554.888 | 2.565.692 |
| 7 | 0 | 2 | 789 | 79.943 | 80.734 | 0 | 12 | 4.896 | 639.648 | 644.556 |
| 6 | 0 | 1 | 289 | 15.734 | 16.024 | 0 | 4 | 1.728 | 125.888 | 127.620 |
| 5 | 0 | 0 | 114 | 2.269 | 2.383 | 0 | 0 | 644 | 18.160 | 18.804 |
| 4 | 0 | 1 | 35 | 232 | 268 | 0 | 4 | 192 | 1.856 | 2.052 |
| 3 | 0 | 0 | 3 | 14 | 17 | 0 | 0 | 12 | 112 | 124 |
| 2 | 0 | 0 | 2 | 0 | 2 | 0 | 0 | 8 | 0 | 8 |
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| Sum | 7 | 347 | 139.906 | 185.772.727 | 185.912.987 | 44 | 2.156 | 985.704 | 1.486.187.096 | 1.487.175.000 |
| Overview Nrm/All | ||||||||
| Stones | Patterns | Pat0Moves | Moves | EndWays | Patterns | Pat0Moves | Moves | EndWays |
| 32 | 1 | 0 | 1 | 0 | 1 | 0 | 4 | 0 |
| 31 | 1 | 0 | 2 | 0 | 4 | 0 | 12 | 0 |
| 30 | 2 | 0 | 8 | 0 | 12 | 0 | 60 | 0 |
| 29 | 8 | 0 | 50 | 0 | 60 | 0 | 400 | 0 |
| 28 | 39 | 0 | 280 | 0 | 296 | 0 | 2.228 | 0 |
| 27 | 171 | 0 | 1.424 | 0 | 1.338 | 0 | 11.360 | 0 |
| 26 | 719 | 1 | 6.508 | 3 | 5.648 | 4 | 51.952 | 32 |
| 25 | 2.757 | 0 | 26.701 | 0 | 21.842 | 0 | 213.420 | 0 |
| 24 | 9.751 | 0 | 98.821 | 0 | 77.559 | 0 | 790.132 | 0 |
| 23 | 31.312 | 0 | 324.516 | 0 | 249.690 | 0 | 2.595.424 | 0 |
| 22 | 89.927 | 1 | 938.981 | 35 | 717.788 | 8 | 7.510.380 | 280 |
| 21 | 229.614 | 1 | 2.389.865 | 2.755 | 1.834.379 | 4 | 19.116.668 | 31.920 |
| 20 | 517.854 | 0 | 5.312.753 | 0 | 4.138.302 | 0 | 42.497.988 | 0 |
| 19 | 1.022.224 | 5 | 10.228.715 | 38.283 | 8.171.208 | 28 | 81.824.196 | 386.416 |
| 18 | 1.753.737 | 10 | 16.940.123 | 2.014.596 | 14.020.166 | 66 | 135.512.592 | 18.168.144 |
| 17 | 2.598.215 | 7 | 23.987.260 | 5.719.572 | 20.773.236 | 40 | 191.887.588 | 52.363.776 |
| 16 | 3.312.423 | 27 | 28.926.380 | 57.220.683 | 26.482.824 | 176 | 231.397.620 | 569.426.456 |
| 15 | 3.626.632 | 47 | 29.611.782 | 3.968.549.525 | 28.994.876 | 302 | 236.879.588 | 36.408.754.040 |
| 14 | 3.413.313 | 121 | 25.725.233 | 42.805.922.801 | 27.286.330 | 816 | 205.786.556 | 380.028.309.224 |
| 13 | 2.765.623 | 373 | 18.974.727 | 961.491.685.586 | 22.106.348 | 2.675 | 151.783.424 | 8.520.659.218.816 |
| 12 | 1.930.324 | 925 | 11.873.487 | 21.916.673.234.267 | 15.425.572 | 6.890 | 94.975.656 | 195.539.172.954.288 |
| 11 | 1.160.977 | 1.972 | 6.286.426 | 422.186.835.743.995 | 9.274.496 | 15.122 | 50.282.084 | 3.720.848.140.835.952 |
| 10 | 600.372 | 3.346 | 2.798.123 | 6.043.888.140.842.924 | 4.792.664 | 25.846 | 22.378.164 | 53.107.584.231.437.936 |
| 9 | 265.865 | 4.356 | 1.040.370 | 69.091.760.894.790.982 | 2.120.101 | 33.891 | 8.318.648 | 604.666.435.961.470.144 |
| 8 | 100.565 | 4.256 | 321.023 | 502.953.576.983.317.086 | 800.152 | 33.051 | 2.565.692 | 4.407.068.360.590.383.432 |
| 7 | 32.250 | 3.054 | 80.734 | 2.463.112.722.515.436.182 | 255.544 | 23.722 | 644.556 | 21.625.765.333.357.588.280 |
| 6 | 8.688 | 1.715 | 16.024 | 9.438.207.850.754.170.985 | 68.236 | 13.142 | 127.620 | 82.475.526.111.015.358.616 |
| 5 | 1.917 | 665 | 2.383 | 15.506.455.687.657.611.921 | 14.727 | 4.987 | 18.804 | 135.521.776.905.015.042.336 |
| 4 | 348 | 182 | 268 | 23.798.702.545.404.040.382 | 2.529 | 1.295 | 2.052 | 210.993.770.838.107.635.688 |
| 3 | 50 | 39 | 17 | 11.637.474.680.924.178.480 | 334 | 254 | 124 | 105.088.038.911.515.040.128 |
| 2 | 7 | 6 | 2 | 1.816.193.178.174.929.599 | 32 | 28 | 8 | 16.260.787.716.385.283.832 |
| 1 | 2 | 2 | 0 | 9.501.343.943.464.352 | 5 | 5 | 0 | 81.723.294.080.159.936 |
| Sum | 23.475.688 | 21.111 | 185.912.987 | 65.248.182.347.232.914.994 | 187.636.299 | 162.352 | 1.487.175.000 | 577.116.156.815.309.849.672 |
| Patterns(Moves) | ||||||||||
| Moves | s1 | s2 | s4 | s8 | Nrm | s1 | s2 | s4 | s8 | All |
| 0 | 6 | 63 | 1.529 | 19.513 | 21.111 | 6 | 126 | 6.116 | 156.104 | 162.352 |
| 1 | 7 | 83 | 4.247 | 95.511 | 99.848 | 0 | 0 | 3.920 | 764.056 | 767.976 |
| 2 | 0 | 100 | 7.954 | 295.292 | 303.346 | 0 | 66 | 16.584 | 2.362.336 | 2.378.986 |
| 3 | 0 | 20 | 9.621 | 685.774 | 695.415 | 0 | 0 | 10.356 | 5.485.912 | 5.496.268 |
| 4 | 0 | 1 | 8.292 | 1.291.057 | 1.299.350 | 3 | 136 | 27.660 | 10.328.752 | 10.356.551 |
| 5 | 0 | 0 | 5.702 | 2.037.691 | 2.043.393 | 0 | 0 | 12.176 | 16.300.864 | 16.313.040 |
| 6 | 0 | 0 | 2.959 | 2.746.893 | 2.749.852 | 0 | 112 | 27.424 | 21.975.720 | 22.003.256 |
| 7 | 0 | 0 | 1.193 | 3.234.676 | 3.235.869 | 0 | 0 | 10.680 | 25.876.200 | 25.886.880 |
| 8 | 0 | 0 | 328 | 3.355.114 | 3.355.442 | 4 | 76 | 21.148 | 26.842.176 | 26.863.404 |
| 9 | 0 | 0 | 49 | 3.089.569 | 3.089.618 | 0 | 0 | 6.700 | 24.715.048 | 24.721.748 |
| 10 | 0 | 0 | 4 | 2.528.178 | 2.528.182 | 0 | 8 | 12.292 | 20.226.928 | 20.239.228 |
| 11 | 0 | 0 | 0 | 1.821.038 | 1.821.038 | 0 | 0 | 3.096 | 14.567.632 | 14.570.728 |
| 12 | 0 | 0 | 0 | 1.145.797 | 1.145.797 | 0 | 10 | 5.640 | 9.167.056 | 9.172.706 |
| 13 | 0 | 0 | 0 | 624.567 | 624.567 | 0 | 0 | 960 | 4.996.288 | 4.997.248 |
| 14 | 0 | 0 | 0 | 292.311 | 292.311 | 0 | 0 | 2.012 | 2.338.768 | 2.340.780 |
| 15 | 0 | 0 | 0 | 116.388 | 116.388 | 0 | 0 | 224 | 931.032 | 931.256 |
| 16 | 0 | 0 | 0 | 39.479 | 39.479 | 0 | 0 | 440 | 315.912 | 316.352 |
| 17 | 0 | 0 | 0 | 11.418 | 11.418 | 0 | 0 | 8 | 91.336 | 91.344 |
| 18 | 0 | 0 | 0 | 2.671 | 2.671 | 0 | 0 | 60 | 21.376 | 21.436 |
| 19 | 0 | 0 | 0 | 517 | 517 | 0 | 0 | 0 | 4.136 | 4.136 |
| 20 | 0 | 0 | 0 | 70 | 70 | 0 | 0 | 16 | 560 | 576 |
| 21 | 0 | 0 | 0 | 6 | 6 | 0 | 0 | 0 | 48 | 48 |
| Sum | 7 | 347 | 139.906 | 185.772.727 | 185.912.987 | 44 | 2.156 | 985.704 | 1.486.187.096 | 1.487.175.000 |
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