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- ##### Tablebase Summary Report: KQK WTM
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- Evaluation All All reduce NCP NCP reduce
- ---------------- ---------- ---------- ---------- ----------
- WTM draw : 3612 564 0 0
- WTM mate in 10: 8 1 8 1
- WTM mate in 9: 2680 428 2680 428
- WTM mate in 8: 15000 2514 15000 2514
- WTM mate in 7: 32104 5181 32104 5181
- WTM mate in 6: 32064 4981 32064 4981
- WTM mate in 5: 26164 3850 26164 3850
- WTM mate in 4: 19964 3001 19964 3001
- WTM mate in 3: 9064 1329 9064 1329
- WTM mate in 2: 5012 750 5012 750
- WTM mate in 1: 2448 399 2448 399
- WTM broken : 114024 17962 105476 16626
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- Totals:
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- 262144 WTM all positions
- 40960 WTM all positions, reduced
- 249984 WTM no captures or promotions
- 39060 WTM no captures or promotions, reduced
- 148120 WTM unbroken, all positions
- 22998 WTM unbroken, all positions, reduced
- 144508 WTM unbroken, no captures or promotions
- 22434 WTM unbroken, no captures or promotions, reduced
- 144508 WTM mating, all positions
- 22434 WTM mating, all positions, reduced
- 144508 WTM mating, no captures or promotions
- 22434 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
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- Probabilties KQK WTM (unbroken, unreduced, no capt/prom):
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- P(KQK, WTM, mate): 1.00000000000000
- P(KQK, WTM, lose): 0.00000000000000
- P(KQK, WTM, draw): 0.00000000000000
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- Average KQK WTM NCP distance to mate: 5.61665790129266
- Average KQK WTM NCP distance to lose: no NCP losses exist
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- Example positions and optimax move limits:
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- There are no KQK WTM NCP draws
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- Maximum KQK WTM NCP distance to mate: 10
- Example KQK WTM mate in 10: wKh8 wQg7 bKd3
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- Maximum KQK WTM NCP distance to lose: no examples exist
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- Example optimax KQK WTM (mate) game: wKh8 wQg7 bKd3
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- 1. Kg8 {Kh7 Qa1 Qa7 Qb2 Qb7 Qc7 Qd7+ Qe5 Qe7 Qf6 Qf7 Qf8 Qg1 Qg2 Qg3+ Qg4 Qg5
- Qg6+ Qg8 Qh6 Qh7+} Kc4 2. Kf7 {Qa1 Qb2 Qd7 Qe5 Qg1 Qg3 Qg4+ Qg5 Qh6} Kd3 3. Ke6
- {Kf6 Qa1 Qb2 Qe5 Qg1 Qg3+ Qg4 Qg5 Qh6} Kc4 4. Ke5 {Qa1 Qa7 Qd7 Qe5 Qg1 Qg4+ Qg5
- Qh6} Kc3 {Kc5 Kd3} 5. Kd5+ {Ke4+} Kb3 {Kc2 Kd2 Kd3} 6. Kd4 {Qa1 Qc7 Qd4 Qf6
- Qg3+} Kb2 {Kc2} 7. Kc4+ {Kd3+ Qf7 Qg6 Qg8 Qh7} Ka2 {Kb1 Kc1 Kc2} 8. Kc3 {Qb7
- Qe5 Qg2+} Ka1 {Kb1} 9. Kb3+ {Kc2+ Qb7 Qg2} Kb1 10. Qb2# {Qg1#}
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- Example optimax KQK WTM (lose) game: no examples exist
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- ##### Tablebase Summary Report: KQK BTM
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- Evaluation All All reduce NCP NCP reduce
- ---------------- ---------- ---------- ---------- ----------
- BTM lost in 0: 364 62 364 62
- BTM lost in 1: 1352 237 1352 237
- BTM lost in 2: 2956 458 2956 458
- BTM lost in 3: 7480 1201 7480 1201
- BTM lost in 4: 14144 2193 14144 2193
- BTM lost in 5: 25484 3779 25484 3779
- BTM lost in 6: 39908 6130 39908 6130
- BTM lost in 7: 54052 8452 54052 8452
- BTM lost in 8: 43800 6974 43800 6974
- BTM lost in 9: 11300 1812 11300 1812
- BTM lost in 10: 56 9 56 9
- BTM draw : 23048 3661 23048 3661
- BTM broken : 38200 5992 26040 4092
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- Totals:
-
- 262144 BTM all positions
- 40960 BTM all positions, reduced
- 249984 BTM no captures or promotions
- 39060 BTM no captures or promotions, reduced
- 223944 BTM unbroken, all positions
- 34968 BTM unbroken, all positions, reduced
- 223944 BTM unbroken, no captures or promotions
- 34968 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
- 200896 BTM losing, all positions
- 31307 BTM losing, all positions, reduced
- 200896 BTM losing, no captures or promotions
- 31307 BTM losing, no captures or promotions, reduced
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- Probabilties KQK BTM (unbroken, unreduced, no capt/prom):
-
- P(KQK, BTM, mate): 0.00000000000000
- P(KQK, BTM, lose): 0.89708141321045
- P(KQK, BTM, draw): 0.10291858678955
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- Average KQK BTM NCP distance to mate: no NCP mates exist
- Average KQK BTM NCP distance to lose: 6.39222284166932
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- Example positions and optimax move limits:
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- Example KQK BTM draw: wKd1 wQb1 bKa1
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- Maximum KQK BTM NCP distance to mate: no examples exist
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- Maximum KQK BTM NCP distance to lose: 10
- Example KQK BTM lose in 10: wKh8 wQg7 bKc2
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- Example optimax KQK BTM (mate) game: no examples exist
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- Example optimax KQK BTM (lose) game: wKh8 wQg7 bKc2
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- 1. ... Kd3 2. Kg8 {Kh7 Qa1 Qa7 Qb2 Qb7 Qc7 Qd7+ Qe5 Qe7 Qf6 Qf7 Qf8 Qg1 Qg2
- Qg3+ Qg4 Qg5 Qg6+ Qg8 Qh6 Qh7+} Kc4 3. Kf7 {Qa1 Qb2 Qd7 Qe5 Qg1 Qg3 Qg4+ Qg5
- Qh6} Kd3 4. Ke6 {Kf6 Qa1 Qb2 Qe5 Qg1 Qg3+ Qg4 Qg5 Qh6} Kc4 5. Ke5 {Qa1 Qa7 Qd7
- Qe5 Qg1 Qg4+ Qg5 Qh6} Kc3 {Kc5 Kd3} 6. Kd5+ {Ke4+} Kb3 {Kc2 Kd2 Kd3} 7. Kd4
- {Qa1 Qc7 Qd4 Qf6 Qg3+} Kb2 {Kc2} 8. Kc4+ {Kd3+ Qf7 Qg6 Qg8 Qh7} Ka2 {Kb1 Kc1
- Kc2} 9. Kc3 {Qb7 Qe5 Qg2+} Ka1 {Kb1} 10. Kb3+ {Kc2+ Qb7 Qg2} Kb1 11. Qb2#
- {Qg1#}
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