Faster Forced Mate

[peter]

after 75.Qd5 there is 75...Kf2 and now we must make sure we can
deliver checkmate within 35 moves, and maybe tablebase analysis would be required to confirm the #110.

We have added another problem because of 75.Qd5
New puzzle, if there's a Mate in #35 for below:
[d]8/8/5p2/3Q1p2/p6p/p6K/p4k2/5r2 w - - 4 76

I will analyze this one if a checkmate is possible in #35 or less.
If the mate is less than #35 then your 75.Qd5! move is correct for white, and 75...Rf2 is a stronger defence for black.

after 75...Kf2 there is a 15 moves shorter way to mate than after Rf2.

75.Qd5 Kf2 (?!):

8/8/5p2/3Q1p2/p6p/p6K/p4k2/5r2 w - - 0 1

Analysis by Komodo 11.01 64-bit:

76.Qd2+ Kf3 77.Qg2+ Ke3 78.Qxf1 f4 79.Kxh4 f5 80.Qc1+ Ke2 81.Qc4+ Ke3 82.Qxa2 Ke4 83.Qxa3 Kd4 84.Qxa4+ Ke5 85.Kg5 f3 86.Qf4+ Kd5 87.Qxf3+ Kd4 88.Kxf5 Kc4 89.Qc6+ Kd4 90.Kf4 Kd3 91.Qc5 Kd2 92.Ke4 Ke1 93.Qc2 Kf1 94.Kf3 Kg1 95.Qg2#
+- (#20) Depth: 32 00:00:09 269MN

Already after 82.Qxa2 a 7some position of #13 is reached btw

[peter]

4 moves less with 82.Qd5 instead of Qe2 similar to the detour at 75:

8/8/5p2/3Q1p2/p6p/7K/p7/5rk1 b - - 0 1

Analysis by Komodo 11.01 64-bit:

82...Rf2 83.Qd4 a3 84.Qd1+ Rf1 85.Qd5 Rf2 86.Qd4 a1Q 87.Qxa1+ Rf1 88.Qd4+ Rf2 89.Qd1+ Rf1 90.Qe2 Rf2 91.Qe1+ Rf1 92.Qe3+ Rf2 93.Qd4 a2 94.Qd1+ Rf1 95.Qe2 Rf2 96.Qe1+ Rf1 97.Qe3+ Rf2 98.Qd4 a1Q 99.Qxa1+ Rf1 100.Qa7+ Rf2 101.Qd4 f4 102.Qd1+ Rf1 103.Qe2 Rf2 104.Qg4+ Kh1 105.Qd1+ Rf1 106.Qxf1#
+- (#24) Tiefe: 36 00:01:00 1740MN

[pgn]
[Event "1996 1.price"]
[Site "Talkchess"]
[Date "2017.06.29"]
[Round "?"]
[White "Radomirovic, Miodrag"]
[Black "Jugoslav.Amateur, Championship"]
[Result "1-0"]
[WhiteElo "2400"]
[BlackElo "2400"]
[Annotator "Martan,Peter"]
[SetUp "1"]
[FEN "n7/pPp5/p4p2/5p2/p6p/p6K/3rb3/n6k w - - 0 1"]
[PlyCount "211"]
[EventDate "2017.??.??"]

1. bxa8=Q+ Bf3 2. Qxf3+ Kg1 3. Qe3+ Rf2 4. Qe1+ Rf1 5. Qe2 Rf2 6. Qd1+ Rf1 7.
Qd4+ Rf2 8. Qxa1+ Rf1 9. Qd4+ Rf2 10. Qd1+ Rf1 11. Qe2 Rf2 12. Qe1+ Rf1 13.
Qe3+ Rf2 14. Qd4 a2 15. Qd1+ Rf1 16. Qe2 Rf2 17. Qe1+ Rf1 18. Qe3+ Rf2 19. Qd4
a3 20. Qd1+ Rf1 21. Qe2 Rf2 22. Qe1+ Rf1 23. Qe3+ Rf2 24. Qd4 a5 25. Qd1+ Rf1
26. Qe2 Rf2 27. Qe1+ Rf1 28. Qe3+ Rf2 29. Qd4 a4 30. Qd1+ Rf1 31. Qe2 Rf2 32.
Qe1+ Rf1 33. Qe3+ Rf2 34. Qd4 a6 35. Qd1+ Rf1 36. Qe2 Rf2 37. Qe1+ Rf1 38. Qe3+
Rf2 39. Qd4 a5 40. Qd1+ Rf1 41. Qe2 Rf2 42. Qe1+ Rf1 43. Qe3+ Rf2 44. Qd4 c6
45. Qd1+ Rf1 46. Qe2 Rf2 47. Qe1+ Rf1 48. Qe3+ Rf2 49. Qd4 c5 50. Qd1+ Rf1 51.
Qe2 Rf2 52. Qe1+ Rf1 53. Qe3+ Rf2 54. Qc1+ Rf1 55. Qxc5+ Rf2 56. Qd4 a1=Q 57.
Qxa1+ Rf1 58. Qd4+ Rf2 59. Qd1+ Rf1 60. Qe2 Rf2 61. Qe1+ Rf1 62. Qe3+ Rf2 63.
Qd4 a2 64. Qd1+ Rf1 65. Qe2 Rf2 66. Qe1+ Rf1 67. Qe3+ Rf2 68. Qd4 a3 69. Qd1+
Rf1 70. Qe2 Rf2 71. Qe1+ Rf1 72. Qe3+ Rf2 73. Qd4 a4 74. Qd1+ Rf1 75. Qd5 (75.
Qe2 $6 Rf2 76. Qe1+ Rf1 77. Qe3+ Rf2 78. Qd4 a1=R 79. Qxa1+ Rf1 80. Qc3 (80.
Qd4+ $6 Rf2 81. Qd1+ Rf1 82. Qe2 Rf2 83. Qe1+ Rf1 84. Qe3+ Rf2 85. Qd4 a2 86.
Qd1+ Rf1 87. Qe2 Rf2 88. Qe1+ Rf1 89. Qe3+ Rf2 90. Qd4 a3 91. Qd1+ Rf1 92. Qe2
Rf2 93. Qe1+ Rf1 94. Qe3+ Rf2 95. Qd4 a1=Q 96. Qxa1+ Rf1 97. Qd4+ Rf2 98. Qd1+
Rf1 99. Qe2 Rf2 100. Qe1+ Rf1 101. Qe3+ Rf2 102. Qd4 a2 103. Qd1+ Rf1 104. Qe2
Rf2 105. Qe1+ Rf1 106. Qe3+ Rf2 107. Qd4 a1=R 108. Qxa1+ Rf1 109. Qd4+ Rf2 110.
Qd1+ Rf1 111. Qe2 Rf2 112. Qe1+ Rf1 113. Qe3+ Rf2 114. Qd4 f4 115. Qd1+ Rf1
116. Qe2 Rf2 117. Qg4+ Kh1 118. Qd1+ Rf1 119. Qxf1#) 80... Rf4 81. Qe3+ Rf2 82.
Qd4 a2 83. Qd1+ Rf1 84. Qe2 Rf2 85. Qe1+ Rf1 86. Qe3+ Rf2 87. Qd4 a3 88. Qd1+
Rf1 89. Qe2 Rf2 90. Qe1+ Rf1 91. Qe3+ Rf2 92. Qd4 a1=Q 93. Qxa1+ Rf1 94. Qd4+
Rf2 95. Qd1+ Rf1 96. Qe2 Rf2 97. Qe1+ Rf1 98. Qe3+ Rf2 99. Qd4 a2 100. Qd1+ Rf1
101. Qe2 Rf2 102. Qe1+ Rf1 103. Qe3+ Rf2 104. Qd4 a1=Q 105. Qxa1+ Rf1 106. Qa7+
Rf2 107. Qd4 f4 108. Qd1+ Rf1 109. Qe2 Rf2 110. Qg4+ Kh1 111. Qd1+ Rf1 112.
Qxf1#) 75... Rf2 (75... Kf2 $2 76. Qd2+ Kf3 77. Qg2+ Ke3 78. Qxf1 f4 79. Kxh4
f5 80. Qc1+ Ke2 81. Qc4+ Ke3 82. Qxa2 Kd3 83. Qxa3+ Ke4 84. Qxa4+ Ke5 85. Qc4
f3 86. Kg3 f2 87. Kxf2 Kf6 88. Ke3 Ke5 89. Qc5+ Kf6 90. Kf4 Ke6 91. Qc6+ Ke7
92. Kxf5 Kf8 93. Qd7 Kg8 94. Kf6 Kf8 95. Qc8#) 76. Qd4 a1=Q 77. Qxa1+ Rf1 78.
Qc3 Rf4 79. Qe3+ Rf2 80. Qd4 a2 81. Qd1+ Rf1 82. Qd5 (82. Qe2 $6 Rf2 83. Qe1+
Rf1 84. Qe3+ Rf2 85. Qd4 a3 86. Qd1+ Rf1 87. Qe2 Rf2 88. Qe1+ Rf1 89. Qe3+ Rf2
90. Qd4 a1=Q 91. Qxa1+ Rf1 92. Qd4+ Rf2 93. Qd1+ Rf1 94. Qe2 Rf2 95. Qe1+ Rf1
96. Qe3+ Rf2 97. Qd4 a2 98. Qd1+ Rf1 99. Qe2 Rf2 100. Qe1+ Rf1 101. Qe3+ Rf2
102. Qd4 a1=Q 103. Qxa1+ Rf1 104. Qa7+ Rf2 105. Qd4 f4 106. Qd1+ Rf1 107. Qe2
Rf2 108. Qg4+ Kh1 109. Qd1+ Rf1 110. Qxf1#) 82... Rf2 83. Qd4 a3 (83... a1=B $5
84. Qxa1+ Rf1 85. Qc3 Rf4 86. Qe3+ Rf2 87. Qd4 a3 88. Qd1+ Rf1 89. Qe2 Rf2 90.
Qe1+ Rf1 91. Qe3+ Rf2 92. Qd4 a2 93. Qd1+ Rf1 94. Qe2 Rf2 95. Qe1+ Rf1 96. Qe3+
Rf2 97. Qd4 a1=R 98. Qxa1+ Rf1 99. Qa7+ Rf2 100. Qd4 f4 101. Qd1+ Rf1 102. Qe2
Rf2 103. Qg4+ Kh1 104. Qd1+ Rf1 105. Qxf1#) 84. Qd1+ Rf1 85. Qd5 Rf2 86. Qd4
a1=Q 87. Qxa1+ Rf1 88. Qd4+ Rf2 89. Qd1+ Rf1 90. Qe2 Rf2 91. Qe1+ Rf1 92. Qe3+
Rf2 93. Qd4 a2 94. Qd1+ Rf1 95. Qe2 Rf2 96. Qe1+ Rf1 97. Qe3+ Rf2 98. Qd4 a1=Q
99. Qxa1+ Rf1 100. Qa7+ Rf2 101. Qd4 f4 102. Qd1+ Rf1 103. Qe2 Rf2 104. Qg4+
Kh1 105. Qd1+ Rf1 106. Qxf1# 1-0
[/pgn]

[Vinvin]

4 moves less with 82.Qd5 instead of Qe2 similar to the detour at 75:

8/8/5p2/3Q1p2/p6p/7K/p7/5rk1 b - - 0 1

Analysis by Komodo 11.01 64-bit:

82...Rf2 83.Qd4 a3 84.Qd1+ Rf1 85.Qd5 Rf2 86.Qd4 a1Q 87.Qxa1+ Rf1 88.Qd4+ Rf2 89.Qd1+ Rf1 90.Qe2 Rf2 91.Qe1+ Rf1 92.Qe3+ Rf2 93.Qd4 a2 94.Qd1+ Rf1 95.Qe2 Rf2 96.Qe1+ Rf1 97.Qe3+ Rf2 98.Qd4 a1Q 99.Qxa1+ Rf1 100.Qa7+ Rf2 101.Qd4 f4 102.Qd1+ Rf1 103.Qe2 Rf2 104.Qg4+ Kh1 105.Qd1+ Rf1 106.Qxf1#
+- (#24) Tiefe: 36 00:01:00 1740MN

SF-MF even finds 1 move shorter with 88.Qc3 :

Code: Select all

Stockfish_170621_matefinder:
...
 55/63	00:11	 307 256k	25 677k	+M23	82. ... Rf2 83.Qd4 a1R 84.Qxa1+ Rf1 85.Qc3 Rf4 86.Qc5+ Rf2 87.Qd4 a3 88.Qd1+ Rf1 89.Qe2 Rf2 90.Qe1+ Rf1 91.Qe3+ Rf2 92.Qd4 a2 93.Qd1+ Rf1 94.Qe2 Rf2 95.Qe1+ Rf1 96.Qe3+ Rf2 97.Qd4 a1R 98.Qxa1+ Rf1 99.Qa7+ Rf2 100.Qd4 f4 101.Qd1+ Rf1 102.Qe2 Rf2 103.Qg4+ Kh1 104.Qd1+ Rf1 105.Qxf1+

[MikeGL]

after 75.Qd5 there is 75...Kf2 and now we must make sure we can
deliver checkmate within 35 moves, and maybe tablebase analysis would be required to confirm the #110.

We have added another problem because of 75.Qd5
New puzzle, if there's a Mate in #35 for below:
[d]8/8/5p2/3Q1p2/p6p/p6K/p4k2/5r2 w - - 4 76

I will analyze this one if a checkmate is possible in #35 or less.
If the mate is less than #35 then your 75.Qd5! move is correct for white, and 75...Rf2 is a stronger defence for black.

after 75...Kf2 there is a 15 moves shorter way to mate than after Rf2.

75.Qd5 Kf2 (?!):

8/8/5p2/3Q1p2/p6p/p6K/p4k2/5r2 w - - 0 1

Analysis by Komodo 11.01 64-bit:

76.Qd2+ Kf3 77.Qg2+ Ke3 78.Qxf1 f4 79.Kxh4 f5 80.Qc1+ Ke2 81.Qc4+ Ke3 82.Qxa2 Ke4 83.Qxa3 Kd4 84.Qxa4+ Ke5 85.Kg5 f3 86.Qf4+ Kd5 87.Qxf3+ Kd4 88.Kxf5 Kc4 89.Qc6+ Kd4 90.Kf4 Kd3 91.Qc5 Kd2 92.Ke4 Ke1 93.Qc2 Kf1 94.Kf3 Kg1 95.Qg2#
+- (#20) Depth: 32 00:00:09 269MN

Already after 82.Qxa2 a 7some position of #13 is reached btw

True. Your 75.Qd5 is correct and solves it in #110.
75...Kf2 is weaker then, and your 75...Rf2 is a stronger defence.

regards

[peter]

8/8/5p2/3Q1p2/p6p/7K/p7/5rk1 b - - 0 1

Analysis by Komodo 11.01 64-bit:

82...Rf2 83.Qd4 a3 84.Qd1+ Rf1 85.Qd5 Rf2 86.Qd4 a1Q 87.Qxa1+ Rf1 88.Qd4+ Rf2 89.Qd1+ Rf1 90.Qe2 Rf2 91.Qe1+ Rf1 92.Qe3+ Rf2 93.Qd4 a2 94.Qd1+ Rf1 95.Qe2 Rf2 96.Qe1+ Rf1 97.Qe3+ Rf2 98.Qd4 a1Q 99.Qxa1+ Rf1 100.Qa7+ Rf2 101.Qd4 f4 102.Qd1+ Rf1 103.Qe2 Rf2 104.Qg4+ Kh1 105.Qd1+ Rf1 106.Qxf1#
+- (#24) Tiefe: 36 00:01:00 1740MN

SF-MF even finds 1 move shorter with 88.Qc3 :

Code: Select all

Stockfish_170621_matefinder:
...
 55/63	00:11	 307 256k	25 677k	+M23	82. ... Rf2 83.Qd4 a1R 84.Qxa1+ Rf1 85.Qc3 Rf4 86.Qc5+ Rf2 87.Qd4 a3 88.Qd1+ Rf1 89.Qe2 Rf2 90.Qe1+ Rf1 91.Qe3+ Rf2 92.Qd4 a2 93.Qd1+ Rf1 94.Qe2 Rf2 95.Qe1+ Rf1 96.Qe3+ Rf2 97.Qd4 a1R 98.Qxa1+ Rf1 99.Qa7+ Rf2 100.Qd4 f4 101.Qd1+ Rf1 102.Qe2 Rf2 103.Qg4+ Kh1 104.Qd1+ Rf1 105.Qxf1+

You can find that in my .pgn already too, Vincent, 83...a1R(B, Q, whatever) seems to give away this one move compared to 83...a3

[MikeGL]

4 moves less with 82.Qd5 instead of Qe2 similar to the detour at 75:

8/8/5p2/3Q1p2/p6p/7K/p7/5rk1 b - - 0 1

Analysis by Komodo 11.01 64-bit:

82...Rf2 83.Qd4 a3 84.Qd1+ Rf1 85.Qd5 Rf2 86.Qd4 a1Q 87.Qxa1+ Rf1 88.Qd4+ Rf2 89.Qd1+ Rf1 90.Qe2 Rf2 91.Qe1+ Rf1 92.Qe3+ Rf2 93.Qd4 a2 94.Qd1+ Rf1 95.Qe2 Rf2 96.Qe1+ Rf1 97.Qe3+ Rf2 98.Qd4 a1Q 99.Qxa1+ Rf1 100.Qa7+ Rf2 101.Qd4 f4 102.Qd1+ Rf1 103.Qe2 Rf2 104.Qg4+ Kh1 105.Qd1+ Rf1 106.Qxf1#
+- (#24) Tiefe: 36 00:01:00 1740MN

SF-MF even finds 1 move shorter with 88.Qc3 :

Code: Select all

Stockfish_170621_matefinder:
...
 55/63	00:11	 307 256k	25 677k	+M23	82. ... Rf2 83.Qd4 a1R 84.Qxa1+ Rf1 85.Qc3 Rf4 86.Qc5+ Rf2 87.Qd4 a3 88.Qd1+ Rf1 89.Qe2 Rf2 90.Qe1+ Rf1 91.Qe3+ Rf2 92.Qd4 a2 93.Qd1+ Rf1 94.Qe2 Rf2 95.Qe1+ Rf1 96.Qe3+ Rf2 97.Qd4 a1R 98.Qxa1+ Rf1 99.Qa7+ Rf2 100.Qd4 f4 101.Qd1+ Rf1 102.Qe2 Rf2 103.Qg4+ Kh1 104.Qd1+ Rf1 105.Qxf1+

Strange, that makes it even shorter. I noticed the first pawn which should be pushed by black is c7-c6 defending d5 square and let the c6 pawn stay there as much as possible to avoid the quicker mate because of the shortcut Qd1+ Δ Qd5 Δ Qd4. Defence is stronger if there's c6 pawn and we don't push that c6 to keep an eye on d5 square, which could then prolong the checkmate.

regards

[MikeGL]

Tried to put up the best defences for black just to make it #110 but it always ends up getting mated at 104.

The following solution doesn't move the c6 pawn to defend d5 square.

[pgn][Event "1996 1.price"]
[Site "Talkchess"]
[Date "2017.06.29"]
[Round "?"]
[White "Radomirovic, Miodrag"]
[Black "Jugoslav.Amateur, Championship"]
[Result "1-0"]
[BlackElo "2400"]
[TimeControl "0+2"]
[SetUp "1"]
[FEN "n7/pPp5/p4p2/5p2/p6p/p6K/3rb3/n6k w - - 0 1"]
[Termination "normal"]
[PlyCount "207"]
[WhiteType "human"]
[BlackType "human"]

1. bxa8=Q+ Bf3 2. Qxf3+ Kg1 3. Qe3+ Rf2 4. Qe1+ Rf1 5. Qe2 Rf2 6. Qd1+ Rf1
7. Qd4+ Rf2 8. Qxa1+ Rf1 9. Qd4+ Rf2 10. Qd1+ Rf1 11. Qd5 Rf2 12. Qd4 c6
13. Qd1+ Rf1 14. Qe2 Rf2 15. Qe1+ Rf1 16. Qe3+ Rf2 17. Qd4 a2 18. Qd1+ Rf1
19. Qe2 Rf2 20. Qe1+ Rf1 21. Qe3+ Rf2 22. Qd4 a3 23. Qd1+ Rf1 24. Qe2 Rf2
25. Qe1+ Rf1 26. Qe3+ Rf2 27. Qd4 a5 28. Qd1+ Rf1 29. Qe2 Rf2 30. Qe1+ Rf1
31. Qe3+ Rf2 32. Qd4 a4 33. Qd1+ Rf1 34. Qe2 Rf2 35. Qe1+ Rf1 36. Qe3+ Rf2
37. Qd4 a6 38. Qd1+ Rf1 39. Qe2 Rf2 40. Qe1+ Rf1 41. Qe3+ Rf2 42. Qd4 a5
43. Qd1+ Rf1 44. Qe2 Rf2 45. Qe1+ Rf1 46. Qe3+ Rf2 47. Qd4 a1=Q 48. Qxa1+
Rf1 49. Qc3 Rf4 50. Qe3+ Rf2 51. Qd4 a2 52. Qd1+ Rf1 53. Qe2 Rf2 54. Qe1+
Rf1 55. Qe3+ Rf2 56. Qd4 a3 57. Qd1+ Rf1 58. Qe2 Rf2 59. Qe1+ Rf1 60. Qe3+
Rf2 61. Qd4 a4 62. Qd1+ Rf1 63. Qe2 Rf2 64. Qe1+ Rf1 65. Qe3+ Rf2 66. Qd4
a1=Q 67. Qxa1+ Rf1 68. Qc3 Rf4 69. Qe3+ Rf2 70. Qd4 a2 71. Qd1+ Rf1 72. Qe2
Rf2 73. Qe1+ Rf1 74. Qe3+ Rf2 75. Qd4 a3 76. Qd1+ Rf1 77. Qe2 Rf2 78. Qe1+
Rf1 79. Qe3+ Rf2 80. Qd4 a1=Q 81. Qxa1+ Rf1 82. Qc3 Rf4 83. Qe3+ Rf2 84.
Qd4 a2 85. Qd1+ Rf1 86. Qe2 Rf2 87. Qe1+ Rf1 88. Qe3+ Rf2 89. Qd4 a1=Q 90.
Qxa1+ Rf1 91. Qa7+ Rf2 92. Qd4 c5 93. Qd1+ Rf1 94. Qe2 Rf2 95. Qe1+ Rf1 96.
Qe3+ Rf2 97. Qc1+ Rf1 98. Qxc5+ Rf2 99. Qd4 f4 100. Qd1+ Rf1 101. Qe2 Rf2
102. Qg4+ Kh1 103. Qd1+ Rf1 104. Qxf1# 1-0
[/pgn]

Maybe label of the puzzle is wrong, it could be just #104 and not #101.

[peter]

You're right about black c- pawn, yet i don't even make it below 112 now again and I can't find out where the difference is, cause with those many possible transpositions I can't paste your line without losing it in mine and it's the same the other way round.
To be really honest, I'm just fed up with this one now

As well as with the principal of cyclic Zugzwang all in all, seems it fools not only the engines but the authors themselves as well

[MikeGL]

Agreed, fed up with this specific position too.
Either:
i. The label is wrong
ii. We don't play the correct defense moves for black

By analyzing it and looking at the pattern of Q movements, after Qxa1 for all pawn promotions just play Qc3 for a quicker lose or gain of a tempo, else if there's no capture at a1 just yet then continue with Qd1+ > Qe2 > Qe1+ > Qe3+ > Qd4 maneouver to lose or gain tempo.

That's the basic pattern for this puzzle, but there are 3 patterns especially if no c6 defending d5 square the pattern is Qd1+ > Qd5 > Qd4.

I honestly believe the label of #110 is wrong.

regards

[peter]

Ok, a really really very very last one.

It seems to me, Mike, your line yet at the very end at 80... has a two-moves-gift still.
With 80...c5 there instead of ...a1x, I don't see a shorter way than #106.
Just for just I did let all shortcuts and detours to be considered in my .pgn, and of course for your personal enjoyment, Mike!
Now it's your turn again

[pgn]
[Event "1996 1.price"]
[Site "Talkchess"]
[Date "2017.06.29"]
[Round "?"]
[White "Radomirovic, Miodrag"]
[Black "Jugoslav.Amateur, Championship"]
[Result "1-0"]
[WhiteElo "2400"]
[BlackElo "2400"]
[Annotator "Martan,Peter"]
[SetUp "1"]
[FEN "n7/pPp5/p4p2/5p2/p6p/p6K/3rb3/n6k w - - 0 1"]
[PlyCount "211"]
[EventDate "2017.??.??"]

1. bxa8=Q+ Bf3 2. Qxf3+ Kg1 3. Qe3+ Rf2 4. Qe1+ Rf1 5. Qe2 Rf2 6. Qd1+ Rf1 7.
Qd4+ Rf2 8. Qxa1+ Rf1 9. Qd4+ Rf2 10. Qd1+ Rf1 11. Qd5 (11. Qe2 $6 Rf2 12. Qe1+
Rf1 13. Qe3+ Rf2 14. Qd4 a2 15. Qd1+ Rf1 16. Qe2 Rf2 17. Qe1+ Rf1 18. Qe3+ Rf2
19. Qd4 a3 20. Qd1+ Rf1 21. Qe2 Rf2 22. Qe1+ Rf1 23. Qe3+ Rf2 24. Qd4 a5 25.
Qd1+ Rf1 26. Qe2 Rf2 27. Qe1+ Rf1 28. Qe3+ Rf2 29. Qd4 a4 30. Qd1+ Rf1 31. Qe2
Rf2 32. Qe1+ Rf1 33. Qe3+ Rf2 34. Qd4 a6 35. Qd1+ Rf1 36. Qe2 Rf2 37. Qe1+ Rf1
38. Qe3+ Rf2 39. Qd4 a5 40. Qd1+ Rf1 41. Qe2 Rf2 42. Qe1+ Rf1 43. Qe3+ Rf2 44.
Qd4 c6 (44... a1=Q $5 45. Qxa1+ Rf1 46. Qd4+ (46. Qxa3 Kf2 47. Qc5+ Ke1 48.
Qxa5+ Ke2 49. Qb5+ Ke1 50. Qxa4 Rf3+ 51. Kxh4 c6 {R}) 46... Rf2 47. Qd1+ Rf1
48. Qd5 Rf2 49. Qd4 a2 50. Qd1+ Rf1 51. Qd5 Rf2 52. Qd4 a3 53. Qd1+ Rf1 54. Qd5
Rf2 55. Qd4 a4 56. Qd1+ Rf1 57. Qd5 Rf2 58. Qd4 a1=Q 59. Qxa1+ Rf1 60. Qd4+ Rf2
61. Qd1+ Rf1 62. Qd5 Rf2 63. Qd4 a2 64. Qd1+ Rf1 65. Qd5 Rf2 66. Qd4 a3 67.
Qd1+ Rf1 68. Qd5 Rf2 69. Qd4 a1=Q 70. Qxa1+ Rf1 71. Qd4+ Rf2 72. Qd1+ Rf1 73.
Qd5 Rf2 74. Qd4 a2 75. Qd1+ Rf1 76. Qd5 Rf2 77. Qd4 c6 (77... a1=Q $5 78. Qxa1+
Rf1 79. Qa7+ Rf2 80. Qd4 c6 81. Qa1+ Rf1 82. Qa7+ Rf2 83. Qd4 c5 84. Qd1+ Rf1
85. Qe2 Rf2 86. Qe1+ Rf1 87. Qe3+ Rf2 88. Qc1+ Rf1 89. Qxc5+ Rf2 90. Qd4 f4 91.
Qd1+ Rf1 92. Qe2 Rf2 93. Qg4+ Kh1 94. Qd1+ Rf1 95. Qxf1#) 78. Qd1+ Rf1 79. Qe2
Rf2 80. Qe1+ Rf1 81. Qe3+ Rf2 82. Qd4 a1=R 83. Qxa1+ Rf1 84. Qa7+ Rf2 85. Qd4
c5 86. Qd1+ Rf1 87. Qe2 Rf2 88. Qe1+ Rf1 89. Qe3+ Rf2 90. Qc1+ Rf1 91. Qxc5+
Rf2 92. Qd4 f4 93. Qd1+ Rf1 94. Qe2 Rf2 95. Qg4+ Kh1 96. Qd1+ Rf1 97. Qxf1#)
45. Qd1+ Rf1 46. Qe2 Rf2 47. Qe1+ Rf1 48. Qe3+ Rf2 49. Qd4 a1=Q (49... c5 $6
50. Qd1+ Rf1 51. Qe2 Rf2 52. Qe1+ Rf1 53. Qe3+ Rf2 54. Qc1+ Rf1 55. Qxc5+ Rf2
56. Qd4 a1=Q 57. Qxa1+ Rf1 58. Qd4+ Rf2 59. Qd1+ Rf1 60. Qd5 (60. Qe2 $6 Rf2
61. Qe1+ Rf1 62. Qe3+ Rf2 63. Qd4 a2 64. Qd1+ Rf1 65. Qe2 Rf2 66. Qe1+ Rf1 67.
Qe3+ Rf2 68. Qd4 a3 69. Qd1+ Rf1 70. Qe2 Rf2 71. Qe1+ Rf1 72. Qe3+ Rf2 73. Qd4
a4 74. Qd1+ Rf1 75. Qd5 (75. Qe2 $6 Rf2 76. Qe1+ Rf1 77. Qe3+ Rf2 78. Qd4 a1=R
79. Qxa1+ Rf1 80. Qc3 (80. Qd4+ $6 Rf2 81. Qd1+ Rf1 82. Qe2 Rf2 83. Qe1+ Rf1
84. Qe3+ Rf2 85. Qd4 a2 86. Qd1+ Rf1 87. Qe2 Rf2 88. Qe1+ Rf1 89. Qe3+ Rf2 90.
Qd4 a3 91. Qd1+ Rf1 92. Qe2 Rf2 93. Qe1+ Rf1 94. Qe3+ Rf2 95. Qd4 a1=Q 96.
Qxa1+ Rf1 97. Qd4+ Rf2 98. Qd1+ Rf1 99. Qe2 Rf2 100. Qe1+ Rf1 101. Qe3+ Rf2
102. Qd4 a2 103. Qd1+ Rf1 104. Qe2 Rf2 105. Qe1+ Rf1 106. Qe3+ Rf2 107. Qd4
a1=R 108. Qxa1+ Rf1 109. Qd4+ Rf2 110. Qd1+ Rf1 111. Qe2 Rf2 112. Qe1+ Rf1 113.
Qe3+ Rf2 114. Qd4 f4 115. Qd1+ Rf1 116. Qe2 Rf2 117. Qg4+ Kh1 118. Qd1+ Rf1
119. Qxf1#) 80... Rf4 81. Qe3+ Rf2 82. Qd4 a2 83. Qd1+ Rf1 84. Qe2 Rf2 85. Qe1+
Rf1 86. Qe3+ Rf2 87. Qd4 a3 88. Qd1+ Rf1 89. Qe2 Rf2 90. Qe1+ Rf1 91. Qe3+ Rf2
92. Qd4 a1=Q 93. Qxa1+ Rf1 94. Qd4+ Rf2 95. Qd1+ Rf1 96. Qe2 Rf2 97. Qe1+ Rf1
98. Qe3+ Rf2 99. Qd4 a2 100. Qd1+ Rf1 101. Qe2 Rf2 102. Qe1+ Rf1 103. Qe3+ Rf2
104. Qd4 a1=Q 105. Qxa1+ Rf1 106. Qa7+ Rf2 107. Qd4 f4 108. Qd1+ Rf1 109. Qe2
Rf2 110. Qg4+ Kh1 111. Qd1+ Rf1 112. Qxf1#) 75... Rf2 (75... Kf2 $2 76. Qd2+
Kf3 77. Qg2+ Ke3 78. Qxf1 f4 79. Kxh4 f5 80. Qc1+ Ke2 81. Qc4+ Ke3 82. Qxa2 Kd3
83. Qxa3+ Ke4 84. Qxa4+ Ke5 85. Qc4 f3 86. Kg3 f2 87. Kxf2 Kf6 88. Ke3 Ke5 89.
Qc5+ Kf6 90. Kf4 Ke6 91. Qc6+ Ke7 92. Kxf5 Kf8 93. Qd7 Kg8 94. Kf6 Kf8 95. Qc8#
) 76. Qd4 a1=Q 77. Qxa1+ Rf1 78. Qc3 Rf4 79. Qe3+ Rf2 80. Qd4 a2 81. Qd1+ Rf1
82. Qd5 (82. Qe2 $6 Rf2 83. Qe1+ Rf1 84. Qe3+ Rf2 85. Qd4 a3 86. Qd1+ Rf1 87.
Qe2 Rf2 88. Qe1+ Rf1 89. Qe3+ Rf2 90. Qd4 a1=Q 91. Qxa1+ Rf1 92. Qd4+ Rf2 93.
Qd1+ Rf1 94. Qe2 Rf2 95. Qe1+ Rf1 96. Qe3+ Rf2 97. Qd4 a2 98. Qd1+ Rf1 99. Qe2
Rf2 100. Qe1+ Rf1 101. Qe3+ Rf2 102. Qd4 a1=Q 103. Qxa1+ Rf1 104. Qa7+ Rf2 105.
Qd4 f4 106. Qd1+ Rf1 107. Qe2 Rf2 108. Qg4+ Kh1 109. Qd1+ Rf1 110. Qxf1#) 82...
Rf2 83. Qd4 a3 (83... a1=B 84. Qxa1+ Rf1 85. Qc3 Rf4 86. Qe3+ Rf2 87. Qd4 a3
88. Qd1+ Rf1 89. Qe2 Rf2 90. Qe1+ Rf1 91. Qe3+ Rf2 92. Qd4 a2 93. Qd1+ Rf1 94.
Qe2 Rf2 95. Qe1+ Rf1 96. Qe3+ Rf2 97. Qd4 a1=R 98. Qxa1+ Rf1 99. Qa7+ Rf2 100.
Qd4 f4 101. Qd1+ Rf1 102. Qe2 Rf2 103. Qg4+ Kh1 104. Qd1+ Rf1 105. Qxf1#) 84.
Qd1+ Rf1 85. Qd5 Rf2 86. Qd4 a1=Q 87. Qxa1+ Rf1 88. Qc3 (88. Qd4+ $5 Rf2 89.
Qd1+ Rf1 90. Qe2 Rf2 91. Qe1+ Rf1 92. Qe3+ Rf2 93. Qd4 a2 94. Qd1+ Rf1 95. Qe2
Rf2 96. Qe1+ Rf1 97. Qe3+ Rf2 98. Qd4 a1=Q 99. Qxa1+ Rf1 100. Qa7+ Rf2 101. Qd4
f4 102. Qd1+ Rf1 103. Qe2 Rf2 104. Qg4+ Kh1 105. Qd1+ Rf1 106. Qxf1#) 88... Kf2
89. Qd2+ Kf3 90. Qg2+ Ke3 91. Qxf1 f4 92. Qa1 Ke4 93. Qxa3 Ke5 94. Qe7+ Kd4 95.
Qxf6+ Kd5 96. Kxh4 f3 97. Qxf3+ Kc5 98. Kg5 Kb5 99. Kf5 Kc4 100. Ke5 Kc5 101.
Qd5+ Kb6 102. Kd6 Ka7 103. Kc6 Kb8 104. Qb3+ Ka7 105. Qb7#) 60... Rf2 61. Qd4
a2 62. Qd1+ Rf1 63. Qd5 Rf2 64. Qd4 a3 65. Qd1+ Rf1 66. Qd5 Rf2 67. Qd4 a1=R
68. Qxa1+ Rf1 69. Qc3 Rf4 70. Qc5+ Rf2 71. Qd4 a2 72. Qd1+ Rf1 73. Qd5 Rf2 74.
Qd4 a1=Q 75. Qxa1+ Rf1 76. Qc3 Rf4 77. Qe3+ Rf2 78. Qd4 a4 79. Qd1+ Rf1 80. Qd5
Rf2 81. Qd4 a3 82. Qd1+ Rf1 83. Qe2 Rf2 84. Qe1+ Rf1 85. Qe3+ Rf2 86. Qd4 a2
87. Qd1+ Rf1 88. Qe2 Rf2 89. Qe1+ Rf1 90. Qe3+ Rf2 91. Qd4 a1=R 92. Qxa1+ Rf1
93. Qa7+ Rf2 94. Qd4 f4 95. Qd1+ Rf1 96. Qe2 Rf2 97. Qg4+ Kh1 98. Qd1+ Rf1 99.
Qxf1#) 50. Qxa1+ Rf1 51. Qd4+ Rf2 52. Qd1+ Rf1 53. Qe2 Rf2 54. Qe1+ Rf1 55.
Qe3+ Rf2 56. Qd4 a2 57. Qd1+ Rf1 58. Qe2 Rf2 59. Qe1+ Rf1 60. Qe3+ Rf2 61. Qd4
a1=Q 62. Qxa1+ Rf1 63. Qd4+ Rf2 64. Qd1+ Rf1 65. Qe2 Rf2 66. Qe1+ Rf1 67. Qe3+
Rf2 68. Qd4 a3 69. Qd1+ Rf1 70. Qe2 Rf2 71. Qe1+ Rf1 72. Qe3+ Rf2 73. Qd4 a2
74. Qd1+ Rf1 75. Qe2 Rf2 76. Qe1+ Rf1 77. Qe3+ Rf2 78. Qd4 a4 79. Qd1+ Rf1 80.
Qe2 Rf2 81. Qe1+ Rf1 82. Qe3+ Rf2 83. Qd4 a3 84. Qd1+ Rf1 85. Qe2 Rf2 86. Qe1+
Rf1 87. Qe3+ Rf2 88. Qd4 a1=Q 89. Qxa1+ Rf1 90. Qc3 Rf4 91. Qe3+ Rf2 92. Qd4 a2
93. Qd1+ Rf1 94. Qe2 Rf2 95. Qe1+ Rf1 96. Qe3+ Rf2 97. Qd4 c5 98. Qd1+ Rf1 99.
Qe2 Rf2 100. Qe1+ Rf1 101. Qe3+ Rf2 102. Qc1+ Rf1 103. Qxc5+ Rf2 104. Qd4 a1=N
105. Qxa1+ Rf1 106. Qa7+ Rf2 107. Qd4 f4 108. Qd1+ Rf1 109. Qe2 Rf2 110. Qg4+
Kh1 111. Qd1+ Rf1 112. Qxf1#) 11... Rf2 12. Qd4 c6 (12... a2 $6 13. Qd1+ Rf1
14. Qd5 Rf2 15. Qd4 a3 16. Qd1+ Rf1 17. Qd5 Rf2 18. Qd4 a5 19. Qd1+ Rf1 20. Qd5
Rf2 21. Qd4 a4 22. Qd1+ Rf1 23. Qd5 Rf2 24. Qd4 a6 25. Qd1+ Rf1 26. Qd5 Rf2 27.
Qd4 a5 28. Qd1+ Rf1 29. Qd5 Rf2 30. Qd4 a1=Q 31. Qxa1+ Rf1 32. Qd4+ Rf2 33.
Qd1+ Rf1 34. Qd5 Rf2 35. Qd4 a2 36. Qd1+ Rf1 37. Qd5 Rf2 38. Qd4 a3 39. Qd1+
Rf1 40. Qd5 Rf2 41. Qd4 a4 42. Qd1+ Rf1 43. Qd5 Rf2 44. Qd4 c6 45. Qd1+ Rf1 46.
Qe2 Rf2 47. Qe1+ Rf1 48. Qe3+ Rf2 49. Qd4 a1=B 50. Qxa1+ Rf1 51. Qc3 Rf4 52.
Qc5+ Rf2 53. Qd4 a2 54. Qd1+ Rf1 55. Qe2 Rf2 56. Qe1+ Rf1 57. Qe3+ Rf2 58. Qd4
a3 59. Qd1+ Rf1 60. Qe2 Rf2 61. Qe1+ Rf1 62. Qe3+ Rf2 63. Qd4 c5 64. Qd1+ Rf1
65. Qe2 Rf2 66. Qe1+ Rf1 67. Qe3+ Rf2 68. Qc1+ Rf1 69. Qxc5+ Rf2 70. Qd4 a1=R
71. Qxa1+ Rf1 72. Qd4+ Rf2 73. Qd1+ Rf1 74. Qd5 Kf2 75. Qd2+ Kf3 76. Qg2+ Ke3
77. Qxf1 Kd2 78. Qa1 Ke3 79. Qxa3+ Ke4 80. Kxh4 f4 81. Qb4+ Ke3 82. Kg4 f3 83.
Qf4+ Kd3 84. Kxf3 f5 85. Qxf5+ Kc4 86. Ke3 Kb3 87. Kd4 Kb2 88. Qd5 Ka3 89. Kc3
Ka4 90. Qe5 Ka3 91. Qa5#) 13. Qd1+ Rf1 14. Qe2 Rf2 15. Qe1+ Rf1 16. Qe3+ Rf2
17. Qd4 a2 18. Qd1+ Rf1 19. Qe2 Rf2 20. Qe1+ Rf1 21. Qe3+ Rf2 22. Qd4 a3 23.
Qd1+ Rf1 24. Qe2 Rf2 25. Qe1+ Rf1 26. Qe3+ Rf2 27. Qd4 a5 28. Qd1+ Rf1 29. Qe2
Rf2 30. Qe1+ Rf1 31. Qe3+ Rf2 32. Qd4 a4 33. Qd1+ Rf1 34. Qe2 Rf2 35. Qe1+ Rf1
36. Qe3+ Rf2 37. Qd4 a6 38. Qd1+ Rf1 39. Qe2 Rf2 40. Qe1+ Rf1 41. Qe3+ Rf2 42.
Qd4 a5 43. Qd1+ Rf1 44. Qe2 Rf2 45. Qe1+ Rf1 46. Qe3+ Rf2 47. Qd4 a1=Q 48.
Qxa1+ Rf1 49. Qc3 Rf4 50. Qe3+ Rf2 51. Qd4 a2 52. Qd1+ Rf1 53. Qe2 Rf2 54. Qe1+
Rf1 55. Qe3+ Rf2 56. Qd4 a3 57. Qd1+ Rf1 58. Qe2 Rf2 59. Qe1+ Rf1 60. Qe3+ Rf2
61. Qd4 a4 62. Qd1+ Rf1 63. Qe2 Rf2 64. Qe1+ Rf1 65. Qe3+ Rf2 66. Qd4 a1=Q 67.
Qxa1+ Rf1 68. Qc3 Rf4 69. Qe3+ Rf2 70. Qd4 a2 71. Qd1+ Rf1 72. Qe2 Rf2 73. Qe1+
Rf1 74. Qe3+ Rf2 75. Qd4 a3 76. Qd1+ Rf1 77. Qe2 Rf2 78. Qe1+ Rf1 79. Qe3+ Rf2
80. Qd4 c5 (80... a1=Q $5 81. Qxa1+ Rf1 82. Qc3 Rf4 83. Qe3+ Rf2 84. Qd4 a2 85.
Qd1+ Rf1 86. Qe2 Rf2 87. Qe1+ Rf1 88. Qe3+ Rf2 89. Qd4 a1=N 90. Qxa1+ Rf1 91.
Qa7+ Rf2 92. Qd4 c5 93. Qd1+ Rf1 94. Qe2 Rf2 95. Qe1+ Rf1 96. Qe3+ Rf2 97. Qc1+
Rf1 98. Qxc5+ Rf2 99. Qd4 f4 100. Qd1+ Rf1 101. Qe2 Rf2 102. Qg4+ Kh1 103. Qd1+
Rf1 104. Qxf1#) 81. Qd1+ Rf1 82. Qe2 Rf2 83. Qe1+ Rf1 84. Qe3+ Rf2 85. Qc1+ Rf1
86. Qxc5+ Rf2 87. Qd4 a1=R 88. Qxa1+ Rf1 89. Qc3 Kf2 90. Qd2+ Kf3 91. Qg2+ Ke3
92. Qxf1 Kd2 93. Qa1 Ke3 94. Qxa3+ Ke4 95. Qb4+ Kd3 96. Kxh4 Ke3 97. Kg3 f4+
98. Qxf4+ Kd3 99. Kf2 Kc2 100. Qxf6 Kb3 101. Qd4 Ka2 102. Ke2 Ka3 103. Qb6 Ka4
104. Kd3 Ka3 105. Kc3 Ka4 106. Qb4# 1-0
[/pgn]