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Subject: Re: Mate in about 10, actually mate in 9!

Author: Heiner Marxen

Date: 08:34:04 05/15/04

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On May 13, 2004 at 17:31:56, John Merlino wrote:

>On May 13, 2004 at 04:08:55, Martin Baumung wrote:
>
>>On May 12, 2004 at 16:11:59, John Merlino wrote:
>>
>>>CM_SKR on an AMD 2500 announces mate in 11 in 0:02, and upgrades to mate in 10
>>>after 0:11.
>>>
>>>Time	Depth	Score	Positions	Moves
>>>0:00	1/3	4.68	1747		1.Qc7 O-O 2.Rxe7 Rdd8 3.Qxb7 Qxb7
>>>					4.Rxb7
>>>0:00	1/4	4.65	8191		1.Qc7 O-O 2.Rxe7 Rdd8 3.Qxb7 Qc4
>>>0:00	1/5	5.07	19885		1.Qc7 O-O 2.Rxe7 Rdd8 3.f6 Bh6
>>>					4.Qg3+ Kh7 5.Rxb7
>>>0:00	1/5	6.74	36065		1.Rxe7+ Kxe7 2.f6+ Bxf6 3.Qc7+
>>>					Ke8 4.Re3+ Kf8 5.Qxd6+ Kg8 6.Qxf6
>>>0:00	1/6	9.86	95561		1.Rxe7+ Kxe7 2.Qc7+ Kf8 3.f6 Bxf6
>>>					4.Qxd6+ Be7 5.Qb8+ Kg7 6.Qe5+ Kh6
>>>					7.Qxh8+ Kg6 8.Qg8+ Kh6 9.Rxf7
>>>0:01	1/7	12.42	549113		1.Rxe7+ Kf8 2.Qc7 Kg8 3.Rxf7 Rh7
>>>					4.Qe7 Qe2 5.Rxg7+ Rxg7 6.Qxe2
>>>0:02	1/8	Mate11	1020395		1.Rxe7+ Kf8 2.Qc7 Kg8 3.Rxf7 Bxd4+
>>>					4.cxd4 Qf1+ 5.Rxf1 Rh7 6.Rf8+ Kxf8
>>>					7.Ne6+ Rxe6 8.fxe6+ Kg8 9.Qc8+
>>>					Kg7 10.Qf8+ Kg6 11.Qf6#
>>>0:05	1/9	Mate11	2076026		1.Rxe7+ Kf8 2.Qc7 Qe2 3.Ne6+ Kg8
>>>					4.Re8+ Kh7 5.Ng5+ Kh6 6.Nxf7+ Kh7
>>>					7.Ng5+ Kh6 8.Qxd6+ Qe6 9.Qxe6+
>>>					Kxg5 10.Qg6+ Kh4 11.Qg3#
>>>0:11	1/10	Mate10	4346857		1.Rxe7+ Kf8 2.Qc7 Qe2 3.Ne6+ Kg8
>>>					4.Rxf7 Bxd4+ 5.cxd4 Qd1+ 6.Rf1
>>>					Qxd4+ 7.Kh1 Rd7 8.Rxd7 Qg1+ 9.Rxg1
>>>					Rh7 10.Qb8#
>>>0:25	1/11	Mate10	10426374	1.Rxe7+ Kf8 2.Qc7 Qe2 3.Ne6+ Kg8
>>>					4.Rxf7 Bxd4+ 5.cxd4 Qd1+ 6.Rf1
>>>					Qxd4+ 7.Kh1 Rd7 8.Rxd7 Qg1+ 9.Rxg1
>>>					Rh7 10.Qb8#
>>>
>>>jm
>>
>>Hi John,
>>
>>actually black's move 1. ..Kf8 is not optimal. Thereafter white can mate black
>>within a total of 9 moves only.
>>
>>1.Re1xe7+ Ke8-f8 2.Qa5-c7 Bg7xd4+ 3.c3xd4 Qb5-e2 4.Nc5-e6+ Qe2xe6 5.f5xe6 Kf8-g7
>>6.Rf3-g3+ Kg7-h6 7.Re7xf7 h5-h4 8.Rf7-f6+ Kh6-h5 9.Qc7-f7#
>>
>>1. ..Kxe7 is the only move to reach a mate in 10.
>>
>>Cheers,
>>
>>Martin
>
>Correct, although it takes CM_SKR on an AMD 2500 quite some time to see this.
>After forcing 1.Rxe7+, The King needs 3:40 to see that Kf8 loses one move faster
>than Kxe7. Not a big deal, just interesting....
>
>jm

According to Chest this actually is a mate in 9:

PV: Qc7 Bf6 Rxe7+ Bxe7 Re3 Qf1+ Kxf1 Re6 Qc8+ Bd8 Rxe6+ fxe6 Qd7+ Kf8 Nxe6+ Kg8
Qg7#

I didn't ask for a solution tree, but the "refutation table" shows:
refu 43: Qc7     Bf6     [   7-]
solu          1: Bxd4+   [   6+]
solu          2: Qf1+    [   6+]
solu          3: Bh6     [   1+]
solu          4: Re6     [   1+]
solu          5: Rg6     [   1+]
solu          6: Qc4     [   1+]
solu          7: Qxc5    [   1+]
solu          8: h4      [   1+]
solu          9: Rg8     [   1+]
solu         10: Rf8     [   1+]
solu         11: Rh7     [   1+]
solu         12: Rhh6    [   1+]
solu         13: Rf6     [   1+]
solu         14: Rdh6    [   1+]
solu         15: f6      [   1+]
solu         16: e6      [   6+]
solu         17: e5      [   6+]
solu         18: b6      [   1+]
solu         19: Bf6     [   8+]
solu         20: Bf8     [   4+]
solu         21: Kf8     [   2+]
solu         22: Be5     [   6+]
solu         23: Rd7     [   2+]
solu         24: Rd8     [   1+]
solu         25: Qb6     [   1+]
solu         26: Qe2     [   6+]
solu         27: Qd3     [   1+]
solu         28: Qa6     [   1+]
solu         29: Qa5     [   1+]
solu         30: Qxb4    [   1+]
solu         31: Qa4     [   1+]
So, Bf6 appears to be the best answer, all other moves result in shorter mates.

Since it starts with a quiet move, it is hard to find, of course.
[Chest needed 1 hour with 100MB hash on an Athlon 1500+]

Cheers,
Heiner



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