Endgame database statistics for killer draughts
This tables shows the statistics of the killer draughts endgame positions, as calculated by dragon draughts.

Win: The number of positions that can be won with white to move
Draw: The number of positions that draw (may contain illegal or unreachable positions)
Lose: The number of positions that are lost with white to move
Deepest win: the largest number of (full) moves that white needs to play to win a position in the database
Deepest loss: the largest number of (full) moves that white needs to play before the game is lost

Press the 'details' link to see the deepest position for each endgame and how to play it in the fastest possible way. Compare against international draughts endgames

These results have not yet been verified. They do not take into account the rule that limit the number of non-conversion moves

2 pieces
3 pieces
4 pieces
5 pieces
6 pieces

home

1-1 pieces, 8.845 positions
Endgame Win (noncapture) Draw (noncapture) Lose (noncapture) W/D/L (all) Deepest win Deepest loss  
1010: v 616 (33.0%)799 (42.8%)450 (24.1%)736 / 799 / 45098details
0110: v 1.516 (84.4%)281 (15.6%)0 (0.0%)1.924 / 281 / 040details
1001: v 1 (0.0%)574 (27.5%)1.510 (72.4%)121 / 574 / 1.51024details
0101: v 16 (0.8%)2.024 (99.1%)2 (0.1%)424 / 2.024 / 221details

2-1 pieces, 806.300 positions
Endgame Win (noncapture) Draw (noncapture) Lose (noncapture) W/D/L (all) Deepest win Deepest loss  
2010: v 36.313 (95.9%)973 (2.6%)572 (1.5%)41.245 / 973 / 5723216details
1110: v 73.866 (100.0%)9 (0.0%)1 (0.0%)95.270 / 9 / 1240details
0210: v 35.852 (100.0%)0 (0.0%)0 (0.0%)52.920 / 0 / 050details
2001: v 23.005 (54.0%)8.271 (19.4%)11.312 (26.6%)27.937 / 8.271 / 11.3122914details
1101: v 83.298 (98.7%)1.137 (1.3%)1 (0.0%)104.702 / 1.137 / 1250details
0201: v 41.618 (99.7%)114 (0.3%)0 (0.0%)58.686 / 114 / 080details
1020: v 1.858 (4.9%)1.635 (4.3%)34.370 (90.8%)3.343 / 3.729 / 35.7181732details
0120: v 14.028 (44.1%)6.500 (20.4%)11.316 (35.5%)26.807 / 9.327 / 11.3861428details
1011: v 0 (0.0%)191 (0.2%)84.651 (99.8%)1.745 / 3.140 / 90.395925details
0111: v 7 (0.0%)3.315 (4.6%)69.198 (95.4%)16.226 / 19.976 / 69.638525details
1002: v 0 (0.0%)20 (0.0%)47.389 (100.0%)245 / 858 / 51.81727details
0102: v 0 (0.0%)18 (0.0%)41.138 (100.0%)3.198 / 13.356 / 42.24628details

 2-2 pieces, 17.993.580 positions
Endgame Win (noncapture) Draw (noncapture) Lose (noncapture) W/D/L (all) Deepest win Deepest loss  
2020: v 298.821 (42.0%)214.276 (30.2%)197.575 (27.8%)473.055 / 225.086 / 205.2993938details
1120: v 1.072.314 (87.6%)139.055 (11.4%)12.385 (1.0%)1.854.070 / 143.463 / 13.5973429details
0220: v 512.396 (97.9%)11.081 (2.1%)13 (0.0%)1.104.621 / 12.085 / 141423details
2011: v 60.555 (3.8%)347.922 (21.7%)1.193.681 (74.5%)305.170 / 404.974 / 1.300.9863334details
1111: v 791.930 (28.3%)1.617.665 (57.7%)392.724 (14.0%)2.319.583 / 1.739.662 / 418.9153433details
0211: v 991.934 (81.3%)225.991 (18.5%)2.263 (0.2%)2.210.964 / 270.213 / 6.0631626details
2002: v 1.550 (0.2%)51.413 (5.7%)847.553 (94.1%)69.331 / 97.753 / 949.6362914details
1102: v 14.744 (0.9%)508.942 (31.8%)1.075.089 (67.2%)715.852 / 632.249 / 1.139.1392715details
0202: v 63.323 (8.9%)636.198 (89.9%)8.457 (1.2%)650.020 / 703.822 / 27.95899details

3-1 pieces, 23.977.620 positions
Endgame Win (noncapture) Draw (noncapture) Lose (noncapture) W/D/L (all) Deepest win Deepest loss  
3010: v 500.952 (99.9%)508 (0.1%)242 (0.0%)599.960 / 508 / 2423521details
2110: v 1.486.556 (100.0%)0 (0.0%)2 (0.0%)2.011.128 / 0 / 2240details
1210: v 1.461.880 (100.0%)0 (0.0%)0 (0.0%)2.239.080 / 0 / 080details
0310: v 477.440 (100.0%)0 (0.0%)0 (0.0%)829.080 / 0 / 050details
3001: v 526.659 (92.7%)27.992 (4.9%)13.271 (2.3%)625.667 / 27.992 / 13.2713721details
2101: v 1.707.050 (99.9%)1.816 (0.1%)2 (0.0%)2.231.622 / 1.816 / 2260details
1201: v 1.709.997 (100.0%)43 (0.0%)0 (0.0%)2.487.197 / 43 / 0220details
0301: v 569.560 (100.0%)0 (0.0%)0 (0.0%)921.200 / 0 / 070details
1030: v 2.739 (0.5%)3.785 (0.8%)495.305 (98.7%)7.801 / 10.448 / 582.4612236details
0130: v 30.562 (8.2%)34.970 (9.4%)305.871 (82.4%)176.586 / 84.060 / 406.2842237details
1021: v 0 (0.0%)176 (0.0%)1.690.341 (100.0%)8.518 / 12.941 / 1.989.6711732details
0121: v 13 (0.0%)2.357 (0.2%)1.268.808 (99.8%)248.814 / 163.667 / 1.820.9591529details
1012: v 0 (0.0%)0 (0.0%)1.893.361 (100.0%)3.864 / 7.880 / 2.227.336925details
0112: v 0 (0.0%)8 (0.0%)1.445.497 (100.0%)121.139 / 201.319 / 2.164.782525details
1003: v 0 (0.0%)0 (0.0%)705.093 (100.0%)460 / 1.843 / 826.77727details
0103: v 0 (0.0%)0 (0.0%)546.200 (100.0%)16.572 / 91.632 / 812.99628details

 3-2 pieces, 1.047.473.160 positions
Endgame Win (noncapture) Draw (noncapture) Lose (noncapture) W/D/L (all) Deepest win Deepest loss  
3020: v 7.491.424 (85.8%)691.945 (7.9%)543.325 (6.2%)11.136.858 / 720.285 / 559.5375344details
2120: v 22.873.290 (99.2%)163.166 (0.7%)13.937 (0.1%)41.361.909 / 176.596 / 19.7354637details
1220: v 20.193.981 (100.0%)1.225 (0.0%)3 (0.0%)46.246.782 / 7.873 / 1.3353919details
0320: v 5.873.350 (100.0%)14 (0.0%)0 (0.0%)17.121.321 / 1.712 / 792details
3011: v 6.920.601 (35.0%)4.625.868 (23.4%)8.247.111 (41.7%)13.499.330 / 5.109.909 / 9.023.4215243details
2111: v 46.243.980 (87.1%)5.434.462 (10.2%)1.395.658 (2.6%)84.104.810 / 6.382.911 / 2.024.2594939details
1211: v 46.747.611 (98.9%)532.644 (1.1%)8.138 (0.0%)101.175.171 / 1.598.430 / 224.0794331details
0311: v 14.002.800 (99.9%)10.574 (0.1%)54 (0.0%)37.756.497 / 368.595 / 12.5881524details
3002: v 664.701 (5.9%)1.613.993 (14.4%)8.911.602 (79.6%)3.536.364 / 2.093.581 / 9.709.4453834details
2102: v 8.411.109 (27.6%)11.112.947 (36.5%)10.915.031 (35.9%)27.012.326 / 12.098.130 / 12.258.6644237details
1202: v 20.321.396 (73.7%)6.967.788 (25.3%)268.830 (1.0%)47.686.094 / 8.454.724 / 1.065.7024216details
0302: v 8.072.436 (97.1%)235.222 (2.8%)5.366 (0.1%)20.150.796 / 913.860 / 122.944149details
2030: v 1.240.672 (14.2%)970.108 (11.1%)6.517.357 (74.7%)2.547.398 / 1.942.128 / 7.927.1544553details
1130: v 8.075.013 (60.4%)2.792.287 (20.9%)2.511.105 (18.8%)19.824.385 / 4.758.975 / 3.049.3004351details
0230: v 4.646.478 (91.1%)392.580 (7.7%)58.765 (1.2%)14.497.434 / 703.179 / 138.7773437details
2021: v 212.428 (0.7%)800.728 (2.7%)28.564.045 (96.6%)2.110.313 / 2.656.310 / 36.791.6173949details
1121: v 4.200.368 (9.1%)8.377.738 (18.2%)33.450.212 (72.7%)27.489.656 / 22.313.035 / 42.709.2894049details
0221: v 10.136.858 (56.8%)5.573.412 (31.2%)2.127.582 (11.9%)37.773.897 / 9.865.942 / 3.729.2813741details
2012: v 47.557 (0.1%)232.885 (0.7%)33.034.627 (99.2%)741.684 / 1.269.569 / 44.244.7373341details
1112: v 482.627 (0.9%)3.400.407 (6.5%)48.719.507 (92.6%)15.106.151 / 17.791.504 / 70.100.0253443details
0212: v 1.621.071 (7.8%)7.507.131 (36.2%)11.588.613 (55.9%)22.535.552 / 18.630.498 / 16.040.4701642details
2003: v 4.341 (0.0%)81.419 (0.7%)12.388.855 (99.3%)138.395 / 244.809 / 16.739.8362914details
1103: v 44.720 (0.2%)635.161 (3.2%)19.292.067 (96.6%)3.758.711 / 3.064.629 / 31.314.3402716details
0203: v 217.042 (2.7%)1.236.830 (15.5%)6.533.724 (81.8%)4.033.306 / 7.600.936 / 9.553.3581014details

4-1 pieces, 523.127.590 positions
Endgame Win (noncapture) Draw (noncapture) Lose (noncapture) W/D/L (all) Deepest win Deepest loss  
4010: v 4.881.316 (100.0%)13 (0.0%)2 (0.0%)6.175.000 / 13 / 23218details
3110: v 19.514.717 (100.0%)0 (0.0%)1 (0.0%)27.632.659 / 0 / 1190details
2210: v 29.149.160 (100.0%)0 (0.0%)2 (0.0%)46.255.988 / 0 / 280details
1310: v 19.294.022 (100.0%)0 (0.0%)0 (0.0%)34.332.560 / 0 / 060details
0410: v 4.778.684 (100.0%)0 (0.0%)0 (0.0%)9.534.420 / 0 / 050details
4001: v 5.541.752 (99.7%)12.115 (0.2%)6.219 (0.1%)6.835.436 / 12.115 / 6.2193921details
3101: v 22.559.100 (100.0%)1.737 (0.0%)1 (0.0%)30.677.042 / 1.737 / 1300details
2201: v 34.262.258 (100.0%)32 (0.0%)2 (0.0%)51.369.086 / 32 / 2220details
1301: v 23.099.142 (100.0%)0 (0.0%)0 (0.0%)38.137.680 / 0 / 0190details
0401: v 5.838.064 (100.0%)0 (0.0%)0 (0.0%)10.593.800 / 0 / 050details
1040: v 1.210 (0.0%)2.127 (0.0%)4.879.109 (99.9%)12.564 / 17.562 / 6.144.8892239details
0140: v 10.612 (0.3%)14.745 (0.5%)3.186.315 (99.2%)880.087 / 396.642 / 5.577.0412239details
1031: v 0 (0.0%)194 (0.0%)21.981.302 (100.0%)27.136 / 38.878 / 27.566.6462236details
0131: v 6 (0.0%)1.023 (0.0%)14.681.531 (100.0%)2.167.823 / 1.226.722 / 27.284.2352237details
1022: v 0 (0.0%)13 (0.0%)37.011.292 (100.0%)22.813 / 38.098 / 46.195.0791732details
0122: v 11 (0.0%)0 (0.0%)25.087.079 (100.0%)1.895.492 / 1.827.262 / 47.646.3661529details
1013: v 0 (0.0%)0 (0.0%)27.625.302 (100.0%)7.803 / 18.674 / 34.306.083925details
0113: v 0 (0.0%)0 (0.0%)18.990.240 (100.0%)674.958 / 1.413.606 / 36.049.116525details
1004: v 0 (0.0%)0 (0.0%)7.713.252 (100.0%)766 / 3.792 / 9.529.86227details
0104: v 0 (0.0%)0 (0.0%)5.374.268 (100.0%)86.656 / 436.230 / 10.070.91428details

3-3 pieces, 14.913.835.300 positions
Endgame Win (noncapture) Draw (noncapture) Lose (noncapture) W/D/L (all) Deepest win Deepest loss  
3030: v 47.840.151 (48.1%)20.437.862 (20.5%)31.254.099 (31.4%)98.942.341 / 28.499.066 / 39.550.3938483details
2130: v 211.406.561 (89.4%)19.420.770 (8.2%)5.637.042 (2.4%)523.295.161 / 27.045.584 / 8.409.8558277details
1230: v 184.709.787 (99.1%)1.707.715 (0.9%)46.177 (0.0%)617.476.740 / 3.637.291 / 620.8197773details
0330: v 48.781.763 (99.9%)44.270 (0.1%)72 (0.0%)229.692.021 / 302.305 / 96.5242535details
3021: v 29.271.215 (8.6%)53.629.892 (15.8%)256.376.182 (75.6%)115.503.269 / 89.507.789 / 353.739.5427982details
2121: v 353.784.212 (43.3%)283.661.999 (34.7%)180.335.674 (22.1%)1.174.111.405 / 422.965.007 / 273.044.3888180details
1221: v 578.144.942 (88.2%)67.678.448 (10.3%)9.399.464 (1.4%)1.895.482.677 / 137.247.246 / 48.789.6277976details
0321: v 171.615.514 (98.3%)2.943.931 (1.7%)57.637 (0.0%)748.599.472 / 13.484.845 / 8.452.4833538details
3012: v 6.781.799 (1.8%)15.726.237 (4.1%)361.809.880 (94.1%)46.299.455 / 49.473.794 / 525.961.6017578details
2112: v 100.159.458 (10.7%)193.079.696 (20.6%)646.000.365 (68.8%)700.179.844 / 419.196.673 / 962.143.0337879details
1212: v 316.267.450 (41.4%)306.366.559 (40.1%)141.429.628 (18.5%)1.485.419.091 / 549.775.206 / 282.253.5037978details
0312: v 174.778.873 (84.4%)29.157.892 (14.1%)3.122.212 (1.5%)743.689.864 / 83.163.992 / 31.243.9443040details
3003: v 1.691.905 (1.2%)1.874.315 (1.3%)141.121.319 (97.5%)8.089.525 / 7.399.585 / 214.601.7404235details
2103: v 16.119.827 (4.5%)28.895.273 (8.1%)313.294.357 (87.4%)124.003.243 / 107.900.458 / 538.633.0994237details
1203: v 41.722.431 (14.1%)93.432.048 (31.6%)160.584.683 (54.3%)327.465.040 / 251.525.995 / 279.106.7654330details
0303: v 25.233.278 (31.0%)51.969.076 (63.8%)4.227.796 (5.2%)187.671.570 / 103.812.322 / 26.330.1081716details

4-2 pieces, 22.357.619.800 positions
Endgame Win (noncapture) Draw (noncapture) Lose (noncapture) W/D/L (all) Deepest win Deepest loss  
4020: v 76.745.880 (97.3%)1.442.451 (1.8%)661.655 (0.8%)122.740.273 / 1.478.841 / 680.8366951details
3120: v 283.550.113 (100.0%)125.366 (0.0%)3.254 (0.0%)558.552.370 / 170.964 / 27.2666345details
2220: v 381.232.868 (100.0%)199 (0.0%)81 (0.0%)935.011.331 / 35.711 / 13.3583317details
1320: v 227.011.605 (100.0%)1 (0.0%)0 (0.0%)693.822.439 / 15.067 / 2.344269details
0420: v 50.581.543 (100.0%)0 (0.0%)0 (0.0%)192.631.280 / 2.919 / 182details
4011: v 127.368.292 (70.8%)26.126.316 (14.5%)26.430.547 (14.7%)218.578.671 / 28.316.983 / 30.980.0216855details
3111: v 641.822.069 (97.7%)13.097.919 (2.0%)1.799.249 (0.3%)1.214.426.889 / 19.703.890 / 9.338.9216754details
2211: v 896.069.702 (99.9%)635.653 (0.1%)25.725 (0.0%)2.067.316.411 / 9.862.937 / 4.340.2024637details
1311: v 543.375.037 (100.0%)55.383 (0.0%)138 (0.0%)1.538.416.617 / 5.684.829 / 863.7544026details
0411: v 123.439.838 (100.0%)4.376 (0.0%)0 (0.0%)427.733.622 / 1.279.166 / 36.112142details
4002: v 24.912.793 (24.4%)21.561.098 (21.1%)55.835.378 (54.6%)69.816.267 / 23.860.029 / 60.533.5297054details
3102: v 247.124.284 (65.3%)86.846.512 (22.9%)44.623.158 (11.8%)536.407.999 / 95.155.248 / 58.709.3037254details
2202: v 503.011.244 (95.8%)19.062.186 (3.6%)2.770.552 (0.5%)1.106.344.580 / 33.402.829 / 16.057.7914737details
1302: v 319.978.858 (98.9%)3.290.069 (1.0%)122.475 (0.0%)838.343.258 / 14.888.311 / 4.866.2314216details
0402: v 74.530.853 (99.6%)277.222 (0.4%)396 (0.0%)234.031.346 / 3.777.494 / 551.660159details
2040: v 3.062.490 (3.9%)3.406.249 (4.3%)72.392.867 (91.8%)8.230.622 / 8.149.360 / 108.519.9685168details
1140: v 32.116.420 (29.5%)19.111.670 (17.6%)57.487.544 (52.9%)131.127.749 / 48.326.402 / 98.421.5245569details
0240: v 27.465.560 (73.5%)6.010.358 (16.1%)3.870.715 (10.4%)128.997.346 / 15.264.441 / 9.948.0385568details
2031: v 884.429 (0.2%)1.925.793 (0.5%)354.283.426 (99.2%)9.791.708 / 11.376.960 / 537.581.9324763details
1131: v 15.221.824 (3.0%)27.472.986 (5.5%)456.748.494 (91.5%)233.715.136 / 152.851.302 / 856.903.2625570details
0231: v 46.716.475 (26.8%)49.653.670 (28.5%)77.929.600 (44.7%)379.661.834 / 144.782.639 / 165.828.0775571details
2022: v 624.218 (0.1%)1.342.018 (0.2%)602.617.550 (99.7%)5.527.827 / 8.065.757 / 921.466.8163949details
1122: v 6.248.174 (0.7%)11.871.268 (1.4%)839.261.794 (97.9%)187.787.158 / 179.997.054 / 1.713.735.3384049details
0222: v 16.625.745 (5.5%)20.161.982 (6.6%)266.978.330 (87.9%)356.451.897 / 216.949.751 / 582.403.5523747details
2013: v 166.811 (0.0%)1.004.466 (0.2%)452.490.705 (99.7%)1.677.535 / 3.474.726 / 688.687.5893342details
1113: v 1.589.908 (0.2%)7.315.821 (1.1%)643.042.621 (98.6%)81.702.877 / 94.006.396 / 1.369.255.9273443details
0213: v 5.529.132 (2.4%)12.100.159 (5.2%)216.713.132 (92.5%)138.621.081 / 155.757.661 / 563.719.0581642details
2004: v 11.860 (0.0%)280.478 (0.2%)127.022.000 (99.8%)258.847 / 628.351 / 191.747.0022914details
1104: v 119.797 (0.1%)1.875.226 (1.0%)183.308.986 (98.9%)15.863.227 / 13.925.542 / 399.260.1312716details
0204: v 571.600 (0.8%)4.156.722 (6.2%)62.806.331 (93.0%)18.394.152 / 44.758.167 / 175.208.1811014details

5-1 pieces, 8.927.303.785 positions
Endgame Win (noncapture) Draw (noncapture) Lose (noncapture) W/D/L (all) Deepest win Deepest loss  
5010: v 37.178.155 (100.0%)0 (0.0%)0 (0.0%)49.549.115 / 0 / 0250details
4110: v 187.939.880 (100.0%)0 (0.0%)1 (0.0%)277.875.674 / 0 / 1190details
3210: v 378.815.478 (100.0%)0 (0.0%)4 (0.0%)621.734.846 / 0 / 4140details
2310: v 380.834.496 (100.0%)0 (0.0%)0 (0.0%)693.839.850 / 0 / 060details
1410: v 191.109.550 (100.0%)0 (0.0%)0 (0.0%)386.241.300 / 0 / 050details
0510: v 38.328.164 (100.0%)0 (0.0%)0 (0.0%)85.809.780 / 0 / 040details
5001: v 42.581.057 (99.9%)20.737 (0.0%)6.442 (0.0%)54.952.021 / 20.737 / 6.4423721details
4101: v 218.479.466 (100.0%)4.389 (0.0%)1 (0.0%)308.415.260 / 4.389 / 1280details
3201: v 447.352.305 (100.0%)873 (0.0%)4 (0.0%)690.271.673 / 873 / 4250details
2301: v 457.531.160 (100.0%)286 (0.0%)0 (0.0%)770.536.514 / 286 / 0240details
1401: v 233.917.081 (100.0%)69 (0.0%)0 (0.0%)429.048.831 / 69 / 0200details
0501: v 47.862.576 (100.0%)8 (0.0%)0 (0.0%)95.344.192 / 8 / 070details
1050: v 517 (0.0%)2.128 (0.0%)37.173.163 (100.0%)22.000 / 29.013 / 49.498.1472236details
0150: v 6.110 (0.0%)16.309 (0.1%)21.972.594 (99.9%)3.981.575 / 1.747.766 / 49.249.8592237details
1041: v 0 (0.0%)379 (0.0%)209.724.749 (100.0%)69.772 / 92.107 / 277.713.7962236details
0141: v 6 (0.0%)1.109 (0.0%)125.889.999 (100.0%)13.817.844 / 7.175.367 / 287.426.4392237details
1032: v 0 (0.0%)78 (0.0%)471.931.482 (100.0%)86.641 / 128.545 / 621.519.6642236details
0132: v 20 (0.0%)81 (0.0%)287.244.335 (100.0%)18.494.703 / 13.687.555 / 658.090.2922237details
1023: v 0 (0.0%)21 (0.0%)529.554.450 (100.0%)50.249 / 95.303 / 693.694.2981732details
0123: v 0 (0.0%)0 (0.0%)326.641.256 (100.0%)11.768.514 / 14.789.704 / 743.978.5821529details
1014: v 0 (0.0%)3 (0.0%)296.344.445 (100.0%)12.925 / 38.430 / 386.189.945925details
0114: v 0 (0.0%)0 (0.0%)185.147.193 (100.0%)3.507.356 / 8.588.403 / 416.953.141525details
1005: v 0 (0.0%)0 (0.0%)66.172.212 (100.0%)1.028 / 6.783 / 85.801.96927details
0105: v 0 (0.0%)0 (0.0%)41.854.272 (100.0%)387.418 / 2.042.488 / 92.914.29428details

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