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Subject: Re: Neat Mate in 12 Problem ...

Author: John Merlino

Date: 15:38:28 04/11/02

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On April 11, 2002 at 16:56:50, Dieter Buerssner wrote:

>On April 11, 2002 at 15:35:06, Art Basham wrote:
>
>>White plays 1. Nd8 and mates in 12...!
>>
>>[D]6n1/1N4p1/6Pp/1B1NpP2/P2kP3/1p3PpK/2P4P/rb2b3 w - -
>
>I (and my engine) like this more, than other "Mate in ..." positions posted
>recently. Often the positions were like: The engine can see, that this is an
>easy win. Here, it seems not that trivial to win. So, I believe, this is more
>suited to test "playing" programs.
>
>Yace, K6-2 475, 20M hash (run in the background with perhaps 60% of the CPU)
>
>   1122228  11.205   0.00  9.  1. Nd8 Kc5 2. Nb7+ Kd4 {-350}
>   1281204  13.096   0.40 10++ 1. Nd8 Kc5 2. Ne6+ Kd6 3. c4 Bf2 4. c5+ Bxc5 5.
>                               Nd8 Bxe4 6. fxe4 Rxa4 7. Bxa4 Bd4 {260}
>   1747861  17.979   0.67 10t  1. Nd8 Kc5 2. Ne6+ Kd6 3. c4 Bxe4 4. fxe4 Rc1
>                               5. Nd8 Kc5 6. hxg3 b2 7. Ne6+ Kd6 8. c5+ Rxc5
>                               9. Nxc5 Kxc5 10. Bd3 {80}
>   2485208  25.704   0.67 10.  1. Nd8 Kc5 2. Ne6+ Kd6 3. c4 Bxe4 4. fxe4 Rc1
>                               5. Nd8 Kc5 6. hxg3 b2 7. Ne6+ Kd6 8. c5+ Rxc5
>                               9. Nxc5 Kxc5 10. Bd3 {80}
>   3619387  38.411   1.02 11t  1. Nd8 Kc5 2. Ne6+ Kd6 3. Nb6 Ke7 4. c4 Bxe4 5.
>                               fxe4 Rd1 6. Nd5+ Rxd5 7. cxd5 gxh2 8. Kxh2 b2
>                               9. Bd3 Kf6 {80}
>   5813363  1:05.0   1.02 11.  1. Nd8 Kc5 2. Ne6+ Kd6 3. Nb6 Ke7 4. c4 Bxe4 5.
>                               fxe4 Rd1 6. Nd5+ Rxd5 7. cxd5 gxh2 8. Kxh2 b2
>                               9. Bd3 Kf6 {80}
>   9096128  1:38.7   1.11 12t  1. Nd8 Kc5 2. Ne6+ Kd6 3. Nb6 Ke7 4. c4 Bxe4 5.
>                               fxe4 Rd1 6. Nd5+ Rxd5 7. cxd5 gxh2 8. Kxh2 b2
>                               9. Bd3 Kf6 10. Bb1 {80}
>  15251052  2:50.7   1.11 12.  1. Nd8 Kc5 2. Ne6+ Kd6 3. Nb6 Ke7 4. c4 Bxe4 5.
>                               fxe4 Rd1 6. Nd5+ Rxd5 7. cxd5 gxh2 8. Kxh2 b2
>                               9. Bd3 Kf6 10. Bb1 {80}
>  16037776  3:01.8   1.51 13++ 1. Nd8 Kc5 2. Ne6+ Kd6 3. Nb6 Ke7 4. hxg3 Rxa4
>                               5. Nc8+ Kf6 6. Bxa4 bxc2 7. Bxc2 Ne7 8. Nxe7
>                               Bxc2 9. Nc6 Bd2
>  16827342  3:11.1  Mat12 13++ 1. Nd8 Kc5 2. Ne6+ Kd6 3. Nb6 Ke7 4. Nc8+ Kf6
>                               5. Nf8 Kg5 6. hxg3 Bxg3 7. Ne6+ Kf6 8. Nb6 Ke7
>                               9. Nd5+ Kd6H 10. Nd8H {HT} {-350}
>  25092067  4:07.0  Mat12 13t  1. Nd8 Kc5 2. Ne6+ Kd6 3. Nb6 Ke7 4. Nc8+ Kf6
>                               5. Nf8 Kg5 6. hxg3 Bxg3 7. Ne6+ Kf6 8. Nb6 Ke7
>                               9. Nd5+ Kd6 10. Nd8 Kc5 11. Nb7+ Kd4 12. c3#
>                               {-350}
>
>Soon John Merlino will come and show a few seconds for CM :-)
>
>Regards,
>Dieter

Hate to disappoint you guys, but CM doesn't see it! It just can't find 4.Nc8+.
This is on a PIII-600, default personality, 32MB hash:

Time	Depth	Score	Positions	Moves
0:00	1/3	0.00	610		1.Nd8 Kc5 2.Nb7+ Kd4
0:00	1/4	0.00	1970		1.Nd8 Kc5 2.Nb7+ Kd4
0:00	2/5	0.00	5749		1.Nd8 Kc5 2.Nb7+ Kd4
0:00	2/6	0.00	12436		1.Nd8 Kc5 2.Nb7+ Kd4
0:00	3/7	0.00	31205		1.Nd8 Kc5 2.Nb7+ Kd4
0:02	4/8	0.13	138861		1.Nd8 Kc5 2.Ne6+ Kd6 3.c4 Bxe4
					4.fxe4 Rc1 5.c5+ Rxc5 6.Nxg7 Rc2
					7.Ne8+ Kc5 8.hxg3
0:10	5/9	0.08	656683		1.Nd8 Kc5 2.Ne6+ Kd6 3.Nb6 Ke7
					4.c4 Bxe4 5.fxe4 Bf2 6.c5 Bxc5
					7.Nxc5 gxh2 8.Kxh2
0:43	6/10	0.62	3188245		1.Nd8 Kc5 2.Ne6+ Kd6 3.Nb6 Ke7
					4.hxg3 h5 5.cxb3 Bc2 6.Nd5+ Kd6
					7.Nxg7 Bxb3 8.Ne8+ Kc5
2:45	7/11	0.76	12740455	1.Nd8 Kc5 2.Ne6+ Kd6 3.Nb6 Ke7
					4.c4 Bxe4 5.fxe4 Rd1 6.Nd5+ Rxd5
					7.cxd5 Nf6 8.Nxg7 gxh2 9.Kxh2 Nxe4
					10.Ne6
10:26	8/12	1.95	50514968	1.Nd8 Kc5 2.Ne6+ Kd6 3.Nb6 Ke7
					4.hxg3 Bb4 5.cxb3 Ra3 6.Nd5+ Kd6
					7.Nxg7 Be1 8.b4 Bxb4 9.Nxb4 Rxf3

Even after making the first three moves, it still takes CM almost one minute to
find the mate:

Time	Depth	Score	Positions	Moves
0:00	1/3	0.00	1066		4.Nd5+ Kd6
0:00	1/4	0.00	2585		4.Nd5+ Kd6
0:00	2/5	0.00	4838		4.Nd5+ Kd6
0:00	2/5	0.54	22718		4.hxg3 h5 5.cxb3 h4 6.Nd5+ Kd6
					7.Nxg7 hxg3 8.Ne8+ Kc5
0:00	2/6	0.95	43144		4.hxg3 h5 5.Nd5+ Kd6 6.Nd8 Kc5
					7.cxb3 Ra3 8.b4+ Bxb4 9.Ne6+ Kd6
					10.Nxb4 Rxf3 11.Nxg7 Bxe4 12.Nxh5
0:01	3/7	0.68	133184		4.hxg3 h5 5.cxb3 Ra3 6.Nd5+ Kd6
					7.Nxg7 Rxb3 8.Ne8+ Kc5
0:08	4/8	1.87	641956		4.hxg3 Bb4 5.cxb3 Ba3 6.Nd5+ Kd6
					7.Nd8 Kc5 8.b4+ Bxb4 9.Ne6+ Kd6
					10.Nxb4
0:25	5/9	1.95	2132798		4.hxg3 Bb4 5.cxb3 Ba3 6.Nd5+ Kd6
					7.Nd8 Kc5 8.b4+ Bxb4 9.Ne6+ Kd6
					10.Nxb4 Ra3 11.Nxg7 Rxf3
0:58	5/9	Mate09	4884624		4.Nc8+ Kf6 5.Nf8 Kg5 6.hxg3 Bxg3
					7.Ne6+ Kf6 8.Nb6 Ke7 9.Nd5+ Kd6
					10.Nd8 Kc5 11.Nb7+ Kd4 12.c3#

jm



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