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- ##### Tablebase Summary Report: KPK WTM
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- Evaluation All All reduce NCP NCP reduce
- ---------------- ---------- ---------- ---------- ----------
- WTM draw : 41044 20522 38368 19184
- WTM mate in 28: 6 3 6 3
- WTM mate in 27: 14 7 14 7
- WTM mate in 26: 38 19 38 19
- WTM mate in 25: 128 64 128 64
- WTM mate in 24: 288 144 288 144
- WTM mate in 23: 686 343 686 343
- WTM mate in 22: 1124 562 1124 562
- WTM mate in 21: 1212 606 1212 606
- WTM mate in 20: 1116 558 1116 558
- WTM mate in 19: 1316 658 1316 658
- WTM mate in 18: 1742 871 1742 871
- WTM mate in 17: 2132 1066 2132 1066
- WTM mate in 16: 2308 1154 2308 1154
- WTM mate in 15: 2130 1065 2130 1065
- WTM mate in 14: 7658 3829 7658 3829
- WTM mate in 13: 13438 6719 13438 6719
- WTM mate in 12: 16356 8178 16356 8178
- WTM mate in 11: 17202 8601 17202 8601
- WTM mate in 10: 16790 8395 16790 8395
- WTM mate in 9: 15082 7541 15082 7541
- WTM mate in 8: 11294 5647 11294 5647
- WTM mate in 7: 6242 3121 6242 3121
- WTM mate in 6: 3272 1636 3272 1636
- WTM mate in 5: 1830 915 1830 915
- WTM mate in 4: 844 422 844 422
- WTM mate in 3: 438 219 438 219
- WTM mate in 2: 194 97 194 97
- WTM mate in 1: 80 40 80 40
- WTM broken : 96140 48070 55408 27704
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- Totals:
-
- 262144 WTM all positions
- 131072 WTM all positions, reduced
- 218736 WTM no captures or promotions
- 109368 WTM no captures or promotions, reduced
- 166004 WTM unbroken, all positions
- 83002 WTM unbroken, all positions, reduced
- 163328 WTM unbroken, no captures or promotions
- 81664 WTM unbroken, no captures or promotions, reduced
- 124960 WTM mating, all positions
- 62480 WTM mating, all positions, reduced
- 124960 WTM mating, no captures or promotions
- 62480 WTM mating, no captures or promotions, reduced
- 0 WTM losing, all positions
- 0 WTM losing, all positions, reduced
- 0 WTM losing, no captures or promotions
- 0 WTM losing, no captures or promotions, reduced
-
- Probabilties KPK WTM (unbroken, unreduced, no capt/prom):
-
- P(KPK, WTM, mate): 0.76508620689655
- P(KPK, WTM, lose): 0.00000000000000
- P(KPK, WTM, draw): 0.23491379310345
-
- Average KPK WTM NCP distance to mate: 11.20702624839950
- Average KPK WTM NCP distance to lose: no NCP losses exist
-
- Example positions and optimax move limits:
-
- Example KPK WTM draw: wKa1 wPa2 bKa3
-
- Maximum KPK WTM NCP distance to mate: 28
- Example KPK WTM mate in 28: wKg2 wPb2 bKg5
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- Maximum KPK WTM NCP distance to lose: no examples exist
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- Example optimax KPK WTM (mate) game: wKg2 wPb2 bKg5
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- 1. Kg3 Kf5 2. Kf3 Ke5 3. Ke3 Kd5 4. Kd3 Kc5 5. Kc3 Kb5 6. Kb3 Ka5 {Ka6 Kc5 Kc6}
- 7. Kc4 Kb6 8. Kb4 Ka6 {Ka7 Kc6 Kc7} 9. Kc5 Kb7 10. Kb5 Ka7 11. Kc6 Ka8 12. Kb6
- {b4} Kb8 13. b3 {b4} Ka8 {Kc8} 14. b4 Kb8 15. b5 Kc8 16. Ka7 Kc7 {Kd7 Kd8} 17.
- b6+ Kc6 {Kd6 Kd7} 18. b7 Kd5 19. Kb6 {b8=Q} Kd4 {Ke4 Ke5 Ke6} 20. Kc6 {b8=Q}
- Kc3 {Kc4 Kd3 Ke3 Ke4 Ke5} 21. Kd5 {b8=Q} Kb4 {Kd2 Kd3} 22. Kd4 {b8=Q+} Kb5 23.
- b8=Q+ Kc6 24. Qd8 Kb5 25. Qc7 {Qd6 Qd7+ Qf6} Ka4 {Ka6 Kb4} 26. Kc4 {Qb6 Qb7
- Qb8} Ka3 27. Qh2 Ka4 28. Qa2#
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- Example optimax KPK WTM (lose) game: no examples exist
-
- ##### Tablebase Summary Report: KPK BTM
-
- Evaluation All All reduce NCP NCP reduce
- ---------------- ---------- ---------- ---------- ----------
- BTM lost in 0: 84 42 0 0
- BTM lost in 1: 128 64 18 9
- BTM lost in 2: 326 163 46 23
- BTM lost in 3: 812 406 128 64
- BTM lost in 4: 1642 821 306 153
- BTM lost in 5: 3396 1698 664 332
- BTM lost in 6: 6248 3124 1624 812
- BTM lost in 7: 11682 5841 4178 2089
- BTM lost in 8: 15206 7603 8452 4226
- BTM lost in 9: 16220 8110 14360 7180
- BTM lost in 10: 15714 7857 15714 7857
- BTM lost in 11: 14430 7215 14430 7215
- BTM lost in 12: 11686 5843 11686 5843
- BTM lost in 13: 8370 4185 8370 4185
- BTM lost in 14: 5002 2501 5002 2501
- BTM lost in 15: 2052 1026 2052 1026
- BTM lost in 16: 2388 1194 2388 1194
- BTM lost in 17: 1804 902 1804 902
- BTM lost in 18: 1422 711 1422 711
- BTM lost in 19: 1194 597 1194 597
- BTM lost in 20: 872 436 872 436
- BTM lost in 21: 1130 565 1130 565
- BTM lost in 22: 860 430 860 430
- BTM lost in 23: 584 292 584 292
- BTM lost in 24: 218 109 218 109
- BTM lost in 25: 62 31 62 31
- BTM lost in 26: 28 14 28 14
- BTM lost in 27: 8 4 8 4
- BTM lost in 28: 4 2 4 2
- BTM draw : 72412 36206 70420 35210
- BTM broken : 66160 33080 50712 25356
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- Totals:
-
- 262144 BTM all positions
- 131072 BTM all positions, reduced
- 218736 BTM no captures or promotions
- 109368 BTM no captures or promotions, reduced
- 195984 BTM unbroken, all positions
- 97992 BTM unbroken, all positions, reduced
- 168024 BTM unbroken, no captures or promotions
- 84012 BTM unbroken, no captures or promotions, reduced
- 0 BTM mating, all positions
- 0 BTM mating, all positions, reduced
- 0 BTM mating, no captures or promotions
- 0 BTM mating, no captures or promotions, reduced
- 123572 BTM losing, all positions
- 61786 BTM losing, all positions, reduced
- 97604 BTM losing, no captures or promotions
- 48802 BTM losing, no captures or promotions, reduced
-
- Probabilties KPK BTM (unbroken, unreduced, no capt/prom):
-
- P(KPK, BTM, mate): 0.00000000000000
- P(KPK, BTM, lose): 0.58089320573251
- P(KPK, BTM, draw): 0.41910679426749
-
- Average KPK BTM NCP distance to mate: no NCP mates exist
- Average KPK BTM NCP distance to lose: 11.32250727429200
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- Example positions and optimax move limits:
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- Example KPK BTM draw: wKc1 wPa2 bKa1
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- Maximum KPK BTM NCP distance to mate: no examples exist
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- Maximum KPK BTM NCP distance to lose: 28
- Example KPK BTM lose in 28: wKh3 wPb2 bKh5
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- Example optimax KPK BTM (mate) game: no examples exist
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- Example optimax KPK BTM (lose) game: wKh3 wPb2 bKh5
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- 1. ... Kg5 2. Kg3 Kf5 3. Kf3 Ke5 4. Ke3 Kd5 5. Kd3 Kc5 6. Kc3 Kb5 7. Kb3 Ka5
- {Ka6 Kc5 Kc6} 8. Kc4 Kb6 9. Kb4 Ka6 {Ka7 Kc6 Kc7} 10. Kc5 Kb7 11. Kb5 Ka7 12.
- Kc6 Ka8 13. Kb6 {b4} Kb8 14. b3 {b4} Ka8 {Kc8} 15. b4 Kb8 16. b5 Kc8 17. Ka7
- Kc7 {Kd7 Kd8} 18. b6+ Kc6 {Kd6 Kd7} 19. b7 Kd5 20. Kb6 {b8=Q} Kd4 {Ke4 Ke5 Ke6}
- 21. Kc6 {b8=Q} Kc3 {Kc4 Kd3 Ke3 Ke4 Ke5} 22. Kd5 {b8=Q} Kb4 {Kd2 Kd3} 23. Kd4
- {b8=Q+} Kb5 24. b8=Q+ Kc6 25. Qd8 Kb5 26. Qc7 {Qd6 Qd7+ Qf6} Ka4 {Ka6 Kb4} 27.
- Kc4 {Qb6 Qb7 Qb8} Ka3 28. Qh2 Ka4 29. Qa2#
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