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Subject: 6x6 statistics and DTC-minimaxing endgame lines

Author: GuyHaworth

Date: 01:19:44 03/10/04

Go up one level in this thread



Marc Bourzutschky just sent me complete stats for 440 endgames, that is - all
3-6-man endgames apart from 5-1.

On my 1GHz laptop, 3-5 man was 3 hours and P-less 3-3/4-2 took a few overnight
runs only.  MB reports that the full DTC run was much quicker than the DTM run
(so you may infer that he's done that too!). I have proceeded more slowly
through the 6-man P-endgames because I'm down to 9GB disc: the uncompressed
EGT_files can be 0.8GB, .nbb+.nbw.


I ran the .tbs files past a program Rafael Andrist sent me, which was able to
look at most of them: it doesn't pronounce on 3-3p endgames yet.

I may be using this program 'out of scope' as it is expecting a .tbs for a
Nalimov compatible 8x8 game but I don't see problems so far.

So far, KRNNKQ has the maxDTC = 169 for 1-0 wins (-v- 28 for 1-0 wins and 41 for
0-1 wins on 8x8). Other games have deeper maxDTC on 6x6 than on 8x8.

KBBNKR maxDTC is notably 112 (v 68 for 8x8).

I'm beginning to think that Ns are less wieldy on 6x6.  I initially thought
they'd be more useful as they cover a larger % of the squares but this looks
wrong now.


In 4-man, KRKB is deepest, going up from 18 (8x8) to 42. In 5-man, KBBKQ 0-1 is
deepest at DTC = 70 (v 71 for 8x8). 4-2p:  KRNPKQ is deepest at 100 (v DT_M_ of
123 for 8x8: no DTC available).

I have not generated KRNPKQ myself but here are maxDTC lines re KRKB, KBBKQ,
KBBNKR and KRNNKQ:


 . . . . . .  KRKB lost in 42 - remember it's only a 6x6 board :-)
 . . . . . .
 . . . . . .
 R . . . . b
 K . . . . .
 . . k . . .  b... to move

1... Bd5+ 2. Ka1! Kc2 3. Ra6 Bc4 4. Ra5 Kc3 5. Kb1 Kb4 6. Re5 Kc3 7. Kc1 Kd4
8. Rf5 Kd3 9. Rf6 Ba2 10. Rf3+ Ke2 11. Ra3 Be6 12. Kc2 Bf5+ 13. Kc3 Ke3 14.
Ra6 Ke4 15. Kd2 Kd4 16. Ra4+ Kd5 17. Ke3 Bb1 18. Rb4 Ba2 19. Kd3 Kc5 20. Rb2
Be6 21. Ke4 Kc4 22. Rc2+ Kb3 23. Rc6 Bc4 24. Kd4 Be2 25. Rf6 Bd1 26. Rf2 Bc2
27. Rf3+ Kb4 28. Rf6 Ba4 29. Rb6+ Bb5 30. Kd5 Ka4 31. Kc5 Be2 32. Rb2 Bd3 33.
Kd4 Ka3 34. Kc3 Be4 35. Rb3+ Ka2 36. Rb5 Ka1 37. Kb3 Bf3 38. Re5 Bd1+ 39. Kc3
Ka2 40. Rf5 Ba4 41. Ra5 Ka3 42. Ra6 Ka2 43. Rxa4+ {continues} Kb1 44. Ra5 Kc1
45. Ra1#

Only Moves: 1


Position[1]
 . . . . . q  KBBKQ lost in 70
 . . B . . .
 . . . . B .
 . . . . . .
 . . K . . .
 . . . . . k  w... to move

1. Bd3+ Ke1 2. Bb4+ Kf2! 3. Bc5+ Kf3 4. Kb3 Qa1 5. Kb4 Qb2+! 6. Kc4 Qd2 7. Kd4
Qf2+ 8. Kc4 Qb2 9. Bd4 Qc1+ 10. Kb5 Qd2 11. Kc4 Kf4 12. Bc3 Qa2+ 13. Kb4 Ke3
14. Bf5 Qe2 15. Bb1 Qd1! 16. Ba2 Qc2 17. Bc4 Ke4 18. Bf6 Qb1+ 19. Ka3 Qe1 20.
Bb2 Kf4 21. Ka4 Qd1+ 22. Kb4 Qb1 23. Kb3 Kf3 24. Kc3 Ke3 25. Bb5 Kf2 26. Bd3
Qa2 27. Bb5 Ke1 28. Kc2 Qd5 29. Bd3 Kf2 30. Kc3 Qc5+ 31. Kd2 Qb4+ 32. Kc2 Qa4+
33. Kd2 Qb3 34. Bd4+ Kf3 35. Bc3 Qa4 36. Bb2 Kf2 37. Kc3 Ke1 38. Bc4 Qc6 39.
Kb3 Kd1 40. Bd4 Qd6 41. Bc3 Qb6+ 42. Bb4 Kc1 43. Kc3 Qe3+ 44. Bd3 Qe5+ 45. Kc4
Kb2 46. Bd2 Qf6 47. Be4 Qa6+ 48. Kd4 Qd6+ 49. Ke3 Qe5 50. Kd3 Kb3 51. Bf3 Qf5+
52. Be4 Qb5+ 53. Kd4 Qb6+ 54. Kd3 Qd6+ 55. Ke2 Kc4 56. Bc2 Qe6+ 57. Kd1 Qf6
58. Ke2 Qb2 59. Kd1 Kd4 60. Be1 Ke3 61. Bd2+ Kf3 62. Bd3 Kf2 63. Bc2 Qd4 64.
Bb1 Qc4 65. Be1+ Ke3 66. Bd2+ Kf3 67. Bf5 Qb5 68. Bc2 Qf1+ 69. Be1 Qe2+ 70.
Kc1 Qxe1+ {continues} 71. Kb2 Qd2 72. Kb1 Ke3 73. Ka1 Qb4 74. Bb3 Qa3+ 75. Ba2
Kd2 76. Kb1
Qc1#

Only Moves: 3


Position[1]
 . . . . N .  KBBNKR lost in 112
 . . . . . .
 . . . . . .
 B . . . . .
 . . . . . K
 B . k r . .  b... to move

1... Kc2 2. B3b2! Kd3 3. Nc5+! Kc4 4. Ne4! Kd3 5. Nd6 Rb1 6. Nb5 Rd1 7. Na3
Rd2+ {zz} 8. Ke1! Rc2 {zz} 9. Kd1! Rd2+ 10. Kc1 Rf2 11. Kb1! Rf4 12. Bc3! Rc4
13. Be1! Ra4 14. Nb5 Ra6 15. Bb2! Rb6 16. Na3! Rc6 17. Be5 Rb6+ 18. Kc1 Ra6
19. Nb1! Rb6 20. Bb2 Rb3 21. Bec3 Rb6 22. Kd1 Rb5 23. Nd2 Rc5 24. Bd4 Rf5 25.
Bbc3 Rf4 26. Be5! Rc4 27. Ba1 Rb4 28. Bf6 Rb5 29. Bfc3 Rc5 30. Nb1 Rb5 31.
Bab2 Rb3 32. Be5 Rb6 33. Na3 Rc6 34. Bed4 Rc4 35. Bf2 Rb4 36. Bc1! Re4 37. Be1
Rc4 38. Bcd2 Rc6 39. Ba5 Rc4 40. Bab4 Rc6 41. Nb1 Rc2 42. Bbd2 Rc4 43. Bc3 Ra4
44. Kc1 Ra2 45. Bb2 Ra6 46. Bb4 Kc4 47. B2a3 Kb3 48. Bd6 Ra4 49. Nd2+! Kc3 50.
Kd1 Kd3 51. Bdb4 Ra6 52. Nf3 Re6 53. Bd2 Re2 54. Bb2 Re4 55. Bdc3 Re2 56. Nd4
Rf2 57. Nc6 Rf5 58. Nb4+ Kc4 59. Nc2 Rf2 60. Bd2 Kb3 61. Be5 Kc4 62. Ke1 Rf3
63. Ke2 Rb3 64. Bc1 Kd5 65. Bcb2 Kc4 66. Ne1 Kd5 67. Bed4 Ke4 68. Nc2 Rb5 69.
Na3 Rb4 70. Bdc3 Ra4 71. Nb1 Rc4 72. Ba3 Kd5 73. Kd3 Rf4 74. Bc1 Ra4 75. B3b2
Ra5 76. Nc3+ Kc6 77. Ne2 Rd5+ 78. Bd4 Kb5 79. Bf4 Ka6 80. Kc4 Ra5 81. Bc5 Ra2
82. Nd4! Rd2 83. Ne6 Re2 84. Bfe3 Rb2 85. Kc3 Rb1 86. Nd4 Ka5 87. Kc4 Ka4 88.
Ne2 Rb3 89. Bd2 Rb4+ 90. Kd3 Rb3+ 91. Kc2 Rf3 92. Bdb4 Rb3 93. Bc3 Rb5 94.
B3d4 Ka5 95. Nf4 Ka6 96. Nd3 Ra5 97. Bc3 Ra4 98. B5b4 Ra2+ 99. Bb2 Ra4 100.
Kb3 Kb5 101. B2c3 Ra6 102. Nf4 Rc6 103. Ne2 Kb6 104. Bd4+ Kb5 105. Be5 Ra6
106. Nd4+ Kb6 107. Kb2 Ra4 108. Bed6 Ka6 109. Nc2 Kb6 110. Kb3 Ra6 111. Bdc5+
Kc6 112. Kc4 Ra5 113. Nd4#

Only Moves: 15   Mzugs: 2



 . . N . K .  KRNNKQ lost in 169
 . . . . N .
 . . . . . .
 . . . . . .
 . q . . . .
 . . k . R .  b...

1... Kd2 2. Nf3+! Kc2 3. Nfd4+ Kd2 4. Re2+ Kc3 5. Re3+ Kc4 6. Nb3! Qf2 7.
Ne5+! Kb5 8. Rd3 Ka4 9. Nd4! Qa2+ 10. Kf6! Qf2+ 11. Nef3 Qf1 12. Re3! Qc1 13.
Re4! Kb4 14. Ne5! Qb1 15. Rf4! Qd1 16. Ne6+ Ka3 17. Rf2 Qb1 18. Rf3+ Qb3 19.
Rf1 Ka2 20. Nd4! Qe3 21. Rd1! Qe4 22. Rd2+ Kb1 23. Ke6 Kc1 24. Nf3 Qa4 25.
Rd6! Qa3 26. Rc6+ Kd1 27. Nd4 Qa4 28. Rd6! Qa2+ 29. Kf5 Qb1+ 30. Kf4 Qb4 31.
Rd5! Kd2 32. Kf3 Qa3+ 33. Ke4 Qe3+ 34. Kf5 Kc3 35. Nb5+ Kb4 36. Nd6 Qf2+ 37.
Ke6 Qc2 38. Ndc4 Qa2 39. Rd3 Kc5 40. Rd6 Qc2 41. Rd5+ Kb4 42. Ra5 Qb3 43. Ra6
Kc5 44. Rc6+ Kd4 45. Rd6+ Kc3 46. Rd3+ Kb4 47. Rd4 Qc3 48. Rf4 Kc5 49. Nb2
Qb3+ 50. Kf5 Kd6 51. Nbd3 Kd5 52. Nb4+ Kd6 53. Rd4+ Kc5 54. Re4 Kd6 55. Nbd3
Kd5 56. Rf4 Qc2 57. Rb4 Qc3 58. Ra4 Qb3 59. Nf4+ Kc5 60. Ned3+ Kb5 61. Ra1 Qc2
62. Rf1 Qc4 63. Rb1+ Ka5 64. Ra1+ Qa4 65. Rc1 Qd4 66. Ne5 Ka4 67. Nfd3 Ka3 68.
Rc2 Kb3 69. Re2 Qd6 70. Nf2 Qa6 71. Re1 Kc3 72. Ne4+ Kc2 73. Kf4 Qb5 74. Nf3
Qb2 75. Nfd2 Kd3 76. Kf3 Qb4 77. Ra1 Kc2 78. Kf4 Qd4 79. Ra2+ Kd3 80. Ra3+ Ke2
81. Nf3 Qb4 82. Re3+ Kd1 83. Rd3+ Kc2 84. Rd5 Qc4 85. Rd2+ Kb1 86. Rd6 Qb4 87.
Nd2+ Kb2 88. Rd5 Kc1 89. Ke5 Kc2 90. Nf3 Qb2+ 91. Kf4 Qc1+ 92. Nfd2 Qa1 93.
Rc5+ Kd1 94. Nb3 Qb2 95. Rd5+ Kc2 96. Nd4+ Kd3 97. Nb5+ Kc4 98. Nbc3 Qc1+ 99.
Ke5 Qa1 100. Rd4+ Kb3 101. Rd3 Qb2 102. Rd6 Kc2 103. Ra6 Kd3 104. Ra4 Qb6 105.
Nd5 Qb2+ 106. Kd6 Kc2 107. Kc6 Qb3 108. Rd4 Qa3 109. Nc5 Qc1 110. Rb4 Kd1 111.
Kd6 Kc2 112. Rc4+ Kb1 113. Nc3+ Kb2 114. N5e4 Ka1 115. Ke5 Qa3 116. Rd4 Qa5+
117. Kf4 Qb4 118. Rd2 Qb3 119. Rd6 Qa3 120. Rd5 Qb3 121. Rf5 Kb2 122. Ke3 Qb6+
123. Kd3 Qa6+ 124. Kd2 Qc4 125. Ke3 Kc1 126. Ne2+ Kb2 127. Rf6 Qb3+ 128. N4c3
Qc4 129. Kd2 Qb4 130. Kd3 Qb3 131. Rc6 Qc2+ 132. Ke3 Qb3 133. Kf4 Qb4+ 134.
Ke5 Qb3 135. Rf6 Qb4 136. Nd5 Qd2 137. Rb6+ Ka1 138. Nd4! Qe1+ 139. Kd6 Qd1
140. Rb4 Qb1 141. Rc4 Qd3 142. Ra4+ Kb2 143. Ke5 Qd1 144. Rb4+ Ka1 145. Ne3
Qb1 146. Nec2+ Ka2 147. Rc4 Kb2 148. Ke4 Qd1 149. Ke3 Qc1+ 150. Ke2 Qb1 151.
Rc6 Qc1 152. Rc5 Qb1 153. Re5 Ka2 154. Kd3 Qb6 155. Rf5 Qb1 156. Ra5+ Kb2 157.
Rb5+ Ka2 158. Rf5 Kb2 159. Rf2 Qc1 160. Ne3+ Ka3 161. Ndc2+ Kb2 162. Rf6 Ka2
163. Nc4 Qd1+ 164. Kc3 Kb1 165. Rf2 Qc1 166. Re2 Qd1 167. Nd2+ Ka2 168. Re5
Qc1 169. Ra5+ Qa3+ 170. Rxa3#

Only Moves: 15


All results from Marc Bourzutschky's program.

guy










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