acase wrote: ↑Fri Aug 05, 2022 4:25 am
This one is difficult for engines and it is very clever.
All engines play the same first key move, but after that how does white draw?
I'll reveal the solution (unless someone else finds it) and the source later.
[fen]r5b1/7P/p6p/2B5/rp1R4/4N1P1/pk6/3K4 w - - 1 1[/fen]
Beauty study!
Attached is an analysis of Fire 8.NN.MC.3 (MacBook Pro M1, Hiarcs Chess Explorer Pro GUI).
The engine does not see the draw but only after 13 seconds it proposed an interesting continuation:
Fire 8.NN.MC.3, 139,9M nodes (2,4M nps), 1GB hash, 4 threads
0:00: -7.63/1 1.g4
0:00: -6.06/1 1.Bxb4
0:00: -3.13/1 1.hxg8=Q
0:00: -5.32/2 1.hxg8=Q Rxg8
0:00: -5.10/2 1.h8=Q Bb3+
0:00: -2.55/2 1.Rd2+ Kb1
0:00: -3.11/3 1.Rd2+ Kb1 2.h8=Q
0:00: -3.20/4 1.Rd2+ Kb1
0:00: -3.29/4 1.Rd2+ Kb1
0:00: -3.09/4 1.Rd2+
0:00: -2.96/4 1.Rd2+
0:00: -2.54/4 1.Rd2+
0:00: -1.70/4 1.Rd2+
0:00: -3.26/4 1.Rd2+ Kb1
0:00: -3.43/4 1.Rd2+ Kb1
0:00: -3.59/4 1.Rd2+ Kb1 2.Bd4 Bb3+
0:00: -3.68/5 1.Rd2+ Kb1
0:00: -3.49/5 1.Rd2+
0:00: -3.41/5 1.Rd2+
0:00: -3.13/5 1.Rd2+
0:00: -2.91/5 1.Rd2+
0:00: -2.65/5 1.Rd2+
0:00: -2.37/5 1.Rd2+
0:00: -2.00/5 1.Rd2+
0:00: -1.59/5 1.Rd2+
0:00: -1.58/5 1.Rd2+ Kb1 2.Rb2+ Kxb2 3.Bd4+
0:00: -1.42/6 1.Rd2+
0:00: -1.27/6 1.Rd2+
0:00: -1.18/6 1.Rd2+
0:00: -1.05/6 1.Rd2+
0:00: -1.40/6 1.Rd2+ Kb1
0:00: -1.56/6 1.Rd2+ Kb1
0:00: -1.87/6 1.Rd2+ Kb1
0:00: -2.19/6 1.Rd2+ Kb1
0:00: -1.30/6 1.Rd2+
0:00: -2.26/6 1.Rd2+ Kb1
0:00: -1.79/6 1.Rd2+ Kb1 2.Rb2+ Kxb2 3.h8=Q+ Kb3
0:00: -1.84/7 1.Rd2+ Kb1
0:00: -1.90/7 1.Rd2+ Kb1
0:00: -1.98/7 1.Rd2+ Kb1
0:00: -2.10/7 1.Rd2+ Kb1
0:00: -2.23/7 1.Rd2+ Kb1
0:00: -2.50/7 1.Rd2+ Kb1
0:00: -2.77/7 1.Rd2+ Kb1
0:00: -3.07/7 1.Rd2+ Kb1
0:00: -3.50/7 1.Rd2+ Kb1
0:00: -4.01/7 1.Rd2+ Kb1
0:00: -3.51/7 1.Rd2+
0:00: -4.12/7 1.Rd2+ Kb1
0:00: -3.07/7 1.Rd2+
0:00: -4.30/7 1.Rd2+ Kb1
0:00: -5.97/7 1.Rd2+ Kb1
0:00: -4.42/7 1.Rd2+
0:00: -6.32/7 1.Rd2+ Kb1
0:00: -6.20/7 1.Bxb4 Be6 2.Ke1 Kb3 3.h8=Q a1=Q+ 4.Ke2 Qb2+ 5.Ke1 Ra1+
0:00: -6.13/8 1.Bxb4
0:00: -6.08/8 1.Bxb4
0:00: -5.96/8 1.Bxb4
0:00: -5.81/8 1.Bxb4
0:00: -5.65/8 1.Bxb4
0:00: -5.45/8 1.Bxb4
0:00: -5.21/8 1.Bxb4
0:00: -5.60/8 1.Bxb4 Be6
0:00: -4.06/8 1.hxg8=Q
0:00: -3.58/8 1.hxg8=Q
0:00: -4.57/8 1.hxg8=Q Rxg8
0:00: -3.72/8 1.hxg8=Q
0:00: -3.38/8 1.hxg8=Q Rxg8 2.Rd2+ Kb1 3.Nc4 Rg4 4.Ne5 Rxg3 5.Nd3
0:00: -3.49/9 1.hxg8=Q Rxg8
0:00: -3.56/9 1.hxg8=Q Rxg8
0:00: -3.66/9 1.hxg8=Q Rxg8
0:00: -3.89/9 1.hxg8=Q Rxg8
0:00: -4.11/9 1.hxg8=Q Rxg8
0:00: -4.36/9 1.hxg8=Q Rxg8
0:00: -4.46/9 1.hxg8=Q Rxg8
0:00: -4.80/9 1.hxg8=Q Rxg8
0:00: -4.44/9 1.hxg8=Q
0:00: -4.91/9 1.hxg8=Q Rxg8
0:00: -5.57/9 1.hxg8=Q Rxg8
0:00: -4.00/9 1.Rd2+
0:00: -4.97/9 1.Rd2+ Kb1
0:00: -4.06/9 1.Rd2+
0:00: -2.68/9 1.Rd2+
0:00: -3.15/9 1.Rd2+ Kb1 2.Rb2+ Kxb2 3.h8=Q+ Kb1 4.Nc2 a1=Q 5.Qxh6 Rd8+ 6.Bd6 Kb2+ 7.Nxa1
0:00: -3.20/10 1.Rd2+ Kb1
0:00: -3.32/10 1.Rd2+ Kb1
0:00: -3.51/10 1.Rd2+ Kb1
0:00: -3.63/10 1.Rd2+ Kb1
0:00: -3.83/10 1.Rd2+ Kb1
0:00: -4.08/10 1.Rd2+ Kb1
0:00: -4.35/10 1.Rd2+ Kb1
0:00: -4.69/10 1.Rd2+ Kb1
0:00: -5.14/10 1.Rd2+ Kb1
0:00: -5.61/10 1.Rd2+ Kb1
0:00: -5.05/10 1.Rd2+
0:00: -4.14/10 1.Rd2+
0:00: -2.99/10 1.Rd2+
0:00: -2.99/10 1.Rd2+ Kb1 2.Rb2+ Kxb2 3.h8=Q+ Kb1 4.Qa1+ Kxa1 5.Kc1 b3 6.Nc2+ bxc2 7.Be7 Rd8
0:00: -3.17/11 1.Rd2+ Kb1
0:00: -2.99/11 1.Rd2+
0:00: -2.89/11 1.Rd2+
0:00: -2.70/11 1.Rd2+
0:00: -2.56/11 1.Rd2+
0:00: -2.74/11 1.Rd2+ Kb1
0:00: -2.53/11 1.Rd2+
0:00: -2.19/11 1.Rd2+
0:00: -2.71/11 1.Rd2+ Kb1
0:00: -2.12/11 1.Rd2+
0:00: -2.71/11 1.Rd2+ Kb1
0:00: -2.07/11 1.Rd2+
0:00: -1.01/11 1.Rd2+
0:00: -1.94/11 1.Rd2+ Kb1
0:00: -3.63/11 1.Rd2+ Kb1
0:00: -4.34/11 1.Rd2+ Kb1 2.Rb2+ Kxb2 3.h8=Q+ Kb1 4.Qa1+ Kxa1 5.Kc1 b3 6.Nc2+ bxc2 7.Be7
0:00: -4.25/12 1.Rd2+
0:00: -4.18/12 1.Rd2+
0:00: -4.08/12 1.Rd2+
0:00: -3.97/12 1.Rd2+
0:00: -3.76/12 1.Rd2+
0:00: -3.53/12 1.Rd2+
0:00: -3.26/12 1.Rd2+
0:00: -2.92/12 1.Rd2+
0:00: -3.26/12 1.Rd2+ Kb1
0:00: -3.77/12 1.Rd2+ Kb1
0:00: -4.59/12 1.Rd2+ Kb1
0:00: -5.42/12 1.Rd2+ Kb1
0:00: -6.48/12 1.Rd2+ Kb1
0:00: -5.16/12 1.Rd2+
0:00: -3.48/12 1.Rd2+
0:00: -5.08/12 1.Rd2+ Kb1
0:00: -6.22/12 1.Rd2+ Kb1 2.Rb2+ Kxb2 3.h8=Q+ Kb1 4.Qf6 a1=Q 5.Bd4 Bb3+ 6.Ke1 Qa2 7.Qe7 Bc2 8.Kf2 Bd3+ 9.Kg1 Qe2 10.Qb7 Qe1+ 11.Kh2 Qc1 12.Qxa8 Ra2+ 13.Kh3 Bf1+ 14.Nxf1
0:00: -6.27/13 1.Rd2+ Kb1
0:00: -6.32/13 1.Rd2+ Kb1
0:00: -5.96/13 1.Rd2+
0:00: -6.33/13 1.Rd2+ Kb1
0:00: -6.46/13 1.Rd2+ Kb1
0:00: -6.65/13 1.Rd2+ Kb1
0:00: -6.89/13 1.Rd2+ Kb1
0:00: -6.61/13 1.Rd2+
0:00: -6.94/13 1.Rd2+ Kb1
0:00: -6.48/13 1.Rd2+
0:00: -5.82/13 1.Rd2+
0:00: -6.42/13 1.Rd2+ Kb1
0:00: -7.47/13 1.Rd2+ Kb1
0:00: -6.57/13 1.Rd2+
0:00: -7.69/13 1.Rd2+ Kb1
0:00: -6.13/13 1.Rd2+
0:01: -8.04/13 1.Rd2+ Kb1
0:01: -5.74/13 1.Rd2+
0:01: -8.09/13 1.Rd2+ Kb1 2.Rb2+ Kxb2 3.h8=Q+ Kb1 4.Qf6 a1=Q 5.Bd4 Bb3+ 6.Ke1 Qa2 7.Kf1 Qd2 8.Kg1 Ka2 9.Nf1 Qc2 10.Qe5 Qd1 11.Qe4 Qc2 12.Qxa8
0:01: -8.00/14 1.Rd2+
0:01: -8.09/14 1.Rd2+ Kb1
0:01: -8.00/14 1.Rd2+
0:01: -7.81/14 1.Rd2+
0:01: -7.59/14 1.Rd2+
0:01: -7.31/14 1.Rd2+
0:01: -7.07/14 1.Rd2+
0:01: -6.69/14 1.Rd2+
0:01: -6.00/14 1.Rd2+
0:01: -6.69/14 1.Rd2+ Kb1
0:01: -7.36/14 1.Rd2+ Kb1
0:01: -8.19/14 1.Rd2+ Kb1
0:01: -7.41/14 1.Rd2+
0:01: -6.08/14 1.Rd2+
0:01: -5.36/14 1.Rd2+ Kb1 2.Rb2+ Kxb2 3.h8=Q+ Kb1 4.Qf6 a1=Q 5.Bd4 Bb3+ 6.Ke1 Qa2 7.Qf5+ Bc2 8.Qf1 Rd8 9.Kf2+ Bd1+ 10.Kg1 Rxd4 11.Nxd1 Qd2 12.Nc3+ Kc2 13.Nxa4 b3
0:01: -5.42/15 1.Rd2+ Kb1
0:01: -5.48/15 1.Rd2+ Kb1
0:01: -5.65/15 1.Rd2+ Kb1
0:01: -5.76/15 1.Rd2+ Kb1
0:01: -5.92/15 1.Rd2+ Kb1
0:01: -6.11/15 1.Rd2+ Kb1
0:01: -6.43/15 1.Rd2+ Kb1
0:01: -6.81/15 1.Rd2+ Kb1
0:01: -7.22/15 1.Rd2+ Kb1
0:01: -7.73/15 1.Rd2+ Kb1
0:01: -8.39/15 1.Rd2+ Kb1
0:01: -7.69/15 1.Rd2+
0:01: -8.53/15 1.Rd2+ Kb1
0:01: -7.53/15 1.Rd2+
0:01: -5.82/15 1.Rd2+
0:01: -6.32/15 1.Rd2+ Kb1 2.Rb2+ Kxb2 3.h8=Q+ Kb1 4.Qf6 a1=Q 5.Bd4 Bb3+ 6.Ke1 Qa2 7.Qf5+ Bc2 8.Qf1 Rd8 9.Kf2+ Bd1+ 10.Kg1 Rxd4 11.Nxd1 Qc2 12.Nc3+ Kb2 13.Nxa4+ Qxa4 14.Qf2+ Kc1 15.Qxd4
0:01: -6.37/16 1.Rd2+ Kb1
0:01: -6.41/16 1.Rd2+ Kb1
0:01: -6.49/16 1.Rd2+ Kb1
0:01: -6.59/16 1.Rd2+ Kb1
0:01: -6.72/16 1.Rd2+ Kb1
0:01: -6.91/16 1.Rd2+ Kb1
0:01: -7.15/16 1.Rd2+ Kb1
0:01: -7.47/16 1.Rd2+ Kb1
0:01: -7.87/16 1.Rd2+ Kb1
0:01: -8.39/16 1.Rd2+ Kb1
0:02: -8.63/16 1.Rd2+ Kb1 2.Bd4 a1=Q 3.Bxa1 Rxa1 4.hxg8=Q Rxg8 5.Nc4 Ra2 6.Rd3 Rb2 7.Rd4 a5 8.Re4 Rd8+ 9.Ke1 Rd3 10.Nxb2 Kxb2 11.Re2+ Kc1
0:02: -8.68/17 1.Rd2+ Kb1
0:02: -8.63/17 1.Rd2+
0:02: -8.62/17 1.Rd2+ Kb1 2.Bd4 a1=Q 3.Bxa1 Rxa1 4.hxg8=Q Rxg8 5.Nc4 Ra2 6.Rd3 Rb2 7.Nxb2 Kxb2 8.Rd2+ Kb1 9.Rd5 Rxg3 10.Kd2
0:02: -8.57/18 1.Rd2+
0:02: -8.52/18 1.Rd2+
0:02: -8.45/18 1.Rd2+
0:02: -8.35/18 1.Rd2+
0:03: -8.21/18 1.Rd2+
0:03: -8.03/18 1.Rd2+
0:03: -8.17/18 1.Rd2+ Kb1
0:03: -7.98/18 1.Rd2+
0:03: -8.23/18 1.Rd2+ Kb1
0:05: -8.75/18 1.Rd2+ Kb1
0:05: -8.44/18 1.Rd2+ Kb1 2.Bd4 a1=Q 3.Bxa1 Rxa1 4.hxg8=R Rxg8 5.Nc4 Ra2 6.Rd3 Rc8 7.Rb3+ Ka1 8.Rxb4 a5 9.Nxa5 Rxa5 10.Rb6 Rd5+ 11.Ke2 Rh5 12.Kf3 Rc4 13.Ra6+ Kb1 14.Rb6+ Kc2 15.Rc6 Rxc6 16.Kg4 Rg5+ 17.Kf3 Rc4 18.Kf2
0:05: -8.49/19 1.Rd2+ Kb1
0:05: -8.53/19 1.Rd2+ Kb1
0:06: -8.60/19 1.Rd2+ Kb1
0:06: -8.54/19 1.Rd2+
0:06: -8.41/19 1.Rd2+
0:06: -8.51/19 1.Rd2+ Kb1
0:06: -8.75/19 1.Rd2+ Kb1
0:08: -8.56/19 1.Rd2+
0:08: -8.40/19 1.Rd2+ Kb1 2.Bd4 a1=Q 3.Bxa1 Rxa1 4.hxg8=R Rxg8 5.Nc4 Ra2 6.Rd3 Rc8 7.Rb3+ Ka1 8.Rxb4 a5 9.Nxa5 Rxa5 10.Kd2 Rc6 11.Ke3 Rc3+ 12.Kf4 Ka2 13.Kg4 Ka3 14.Rb6 Rc4+ 15.Kf3 Rh5 16.Ra6+ Kb4 17.Kg2
0:08: -8.35/20 1.Rd2+
0:09: -8.40/20 1.Rd2+ Kb1
0:09: -8.47/20 1.Rd2+ Kb1
0:09: -8.41/20 1.Rd2+
0:09: -8.27/20 1.Rd2+
0:09: -8.38/20 1.Rd2+ Kb1
0:09: -8.23/20 1.Rd2+
0:10: -8.42/20 1.Rd2+ Kb1
0:10: -8.17/20 1.Rd2+
0:11: -8.50/20 1.Rd2+ Kb1
0:11: -8.07/20 1.Rd2+
0:11: -8.07/20 1.Rd2+ Kb1 2.Rb2+ Kxb2 3.h8=Q+ Kb1 4.Qa1+ Kxa1 5.Kc1 b3 6.Nc2+ bxc2 7.Be7 Rd4 8.Bf6 Rd8 9.g4 Bc4 10.g5 hxg5 11.Bg7 Rd5 12.Bf6 a5 13.Bg7 Bb5 14.Bf6 Bd3 15.Bg7 Rd8 16.Bf6 Bc4 17.Be5
0:12: -8.12/21 1.Rd2+ Kb1
0:12: -8.16/21 1.Rd2+ Kb1
0:13: -8.23/21 1.Rd2+ Kb1
0:13: -8.33/21 1.Rd2+ Kb1
0:13: -8.35/21 1.Rd2+ Kb1 2.Rb2+ Kxb2 3.h8=Q+ Kb1 4.Qa1+ Kxa1 5.Kc1 b3 6.Nc2+ bxc2 7.Be7 Rd4 8.Bf6 Rd8 9.Bg7 Bc4 10.Be5 Bd3 11.Bf6 Rd6 12.Bg7 Bb5 13.Bh8 Bc4 14.Be5 Be2 15.Bh8 Rd8 16.Bg7 Rd7 17.Be5
0:13: -8.35/22 1.Rd2+ Kb1 2.Rb2+ Kxb2 3.h8=Q+ Kb1 4.Qa1+ Kxa1 5.Kc1 b3 6.Nc2+ bxc2 7.Be7 Rd4 8.Bf6 Rd8 9.Bg7 Bc4 10.Be5 Bd3 11.Bf6 Rd6 12.Bg7 Bb5 13.Bh8 Bc4 14.Be5 Bb3 15.Bg7 Rd5 16.Bh8 Bc4 17.Bf6 Be2 18.Bg7 Rd6 19.Be5
0:14: -8.35/23 1.Rd2+ Kb1 2.Rb2+ Kxb2 3.h8=Q+ Kb1 4.Qa1+ Kxa1 5.Kc1 b3 6.Nc2+ bxc2 7.Be7 Rd4 8.Bf6 Rd8 9.Bg7 Bc4 10.Be5 Bd3 11.Bf6 Rd6 12.Bg7 Rd5 13.Bh8 Bc4 14.Bf6 Be2 15.Bg7 Rd8 16.Be5 Rd7 17.Bh8 Rd6 18.Be5 Rd8 19.Bg7 Rd5 20.Bh8 Bd3 21.Bf6
0:15: -8.35/24 1.Rd2+ Kb1 2.Rb2+ Kxb2 3.h8=Q+ Kb1 4.Qa1+ Kxa1 5.Kc1 b3 6.Nc2+ bxc2 7.Be7 Rd4 8.Bf6 Rd8 9.Bg7 Bc4 10.Be5 Bd3 11.Bf6 Rd6 12.Bg7 Rd5 13.Bh8 Bc4 14.Bf6 Rd6 15.Bg7 Bb3 16.Be5 Be6 17.Bg7 Bg4 18.Bh8 Bf5 19.Bg7 Rd8 20.Bf6 Be6 21.Be5 Bb3 22.Bf6
0:21: -8.35/25 1.Rd2+ Kb1 2.Rb2+ Kxb2 3.h8=Q+ Kb1 4.Qa1+ Kxa1 5.Kc1 b3 6.Nc2+ bxc2 7.Be7 Rd4 8.Bf6 Rd8 9.Bg7 Bc4 10.Be5 Bd3 11.Bf6 Rd6 12.Bg7 Rd5 13.Bh8 Bb5 14.Bf6 Be2 15.Bg7 Bc4 16.Bf6 Rd6 17.Bg7 Bb3 18.Be5 Be6 19.Bg7 Bc4 20.Be5 Rd8 21.Bg7
0:27: -8.35/26 1.Rd2+ Kb1 2.Rb2+ Kxb2 3.h8=Q+ Kb1 4.Qa1+ Kxa1 5.Kc1 b3 6.Nc2+ bxc2 7.Be7 Rd4 8.Bf6 Rd8 9.Bg7 Bc4 10.Be5 Bd3 11.Bf6 Rd6 12.Bg7 Rd5 13.Bh8 Be2 14.Bg7 Bd1 15.Bf6 Bg4 16.Bg7 Be2 17.Bf6 Bc4 18.Bh8 Rd6 19.Be5 Bb3 20.Bg7 Rd5 21.Bh8
0:30: -8.35/27 1.Rd2+ Kb1 2.Rb2+ Kxb2 3.h8=Q+ Kb1 4.Qa1+ Kxa1 5.Kc1 b3 6.Nc2+ bxc2 7.Be7 Rd4 8.Bf6 Rd8 9.Bg7 Bc4 10.Be5 Bd3 11.Bf6 Rd6 12.Bg7 Rd5 13.Bh8 Be2 14.Bf6 Bc4 15.Bh8 Bd3 16.Bg7 Rd6 17.Be5 Be2 18.Bh8 Bb5 19.Bg7 Rd7 20.Be5 Rd8 21.Bf6 Bd3 22.Be5
0:45: -8.35/28 1.Rd2+ Kb1 2.Rb2+ Kxb2 3.h8=Q+ Kb1 4.Qa1+ Kxa1 5.Kc1 b3 6.Nc2+ bxc2 7.Be7 Rd4 8.Bf6 Rd8 9.Bg7 Bc4 10.Be5 Bd3 11.Bf6 Rd6 12.Bg7 Rd5 13.Bh8 Be2 14.Bf6 Bc4 15.Bh8 Bd3 16.Bg7 Rd6 17.Be5 Be2 18.Bh8 Bc4 19.Bg7 Rd7 20.Be5 Rd8 21.Bg7 Bb3 22.Be5 Rd5 23.Bh8