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Subject: Re: Very easy mate to solve ...

Author: Heiner Marxen

Date: 17:12:25 05/05/01

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On May 05, 2001 at 18:41:22, Paul wrote:

>On May 05, 2001 at 17:47:38, Heiner Marxen wrote:
>
>>On May 05, 2001 at 12:41:18, Paul wrote:
>>
>>>On May 05, 2001 at 11:55:58, leonid wrote:
>>>
>>>>Hello!
>>>>
>>>>If you would like to solve very easy mate, you can do this by solving one
>>>>position from two, or both.
>>>>
>>>>[D]qk1r4/bpp1R1p1/pB1pnp2/N1Nb3p/2P1P3/QRnP2PB/5PK1/1r6 w - -
>>>
>>>Hi Leonid,
>>>
>>>this one is instantly solved by Pretz as a mate in 9:
>>>
>>>00:00 WM9 07 Nc6+ Bxc6 Nxa6+ bxa6 Bxc7+ Kc8 Qxa6+ Qb7 Bxe6+ Rd7 Bxd7+ Kxc7 Bxc6+
>>>Kc8 Qxb7+ Kd8 Re8#
>>
>>As always, Pretz is faster than Chest.  As often, Pretz in fact finds the
>>shortest possible mate.  I'm impressed, really!
>
>You are too kind, monsieur! But I have to say that in the last weeks Chest has
>been faster than Pretz a number of times ... Sie sind zu Bescheiden, Herr Heiner
>... Chest ist absolut unglaublich :)

Many thanks for your kind words!  Bescheidenheit ist eine Zier  :-)

>And I don't know why, but I like solving mates, combinations, puzzles, Rubik's
>cubes (rediscovered one in my closet last week, it's a miracle thingy, really),
>etc ... brains are strange entities, aren't they! Well ... mine is anyway ... ;)

Yes, I also like puzzles of that kind where logic helps.  I just solved
some levels of sokoban.  To those who don't share this hobby it often appears
to be quite strange... it does not serve any obvious purpose... well,
I just like to _solve_ puzzles, and enjoy the creative thinking involved.


>>1.Nc6+ is the only key for mate in 9.  Without duals this is a complete
>>solution tree:
>>
>> Nc6+ Bxc6 Nxa6+ bxa6 Bxc7+ Kc8 Qxa6+ Qb7 Bxe6+ Rd7 Bxd7+ Kxc7 Bxc6+ Kc8 Bxb7+
>>=*= Qxd6#
>>                                                                     Kd8 Re8+
>>Kc7 Qxb7#
>>                                                                     Kb8 Qxb7#
>>                                                          Bxd7 Qxb7#
>>                                                Bd7 Qxb7#
>>                                      Bb7 Bxe6+ Rd7 Bxd7+ Kxc7 Be6+  =*= Qxd6#
>>                 Kc8  Rxc7#
>>      bxc6 Bxc7+ Kc8  Qxa6+ Qb7 Qxb7#
>>      Kc8  Rxc7#
>>
>>Took 48.1 minutes on K7/600 with 350 MB, so it wasn't exactly "easy" for Chest.
>>
>>>>[D]3k4/b2r4/4q3/2q3n1/1nnNbqnN/1Q1qpNBQ/r1BPQPp1/qNQRKR1N b - -
>>>
>>>And this one took a while longer as usual with your creations :), mate in 8:
>>>
>>>01:22 BM8 07 exf2+ Nxf2 Qaxd4 Bxd3 Qxf2+ Bxf2 Qxf2+ Rxf2 Bxf2+ Qxf2 Bxd3+ Qe3
>>>g1=Q+ Nxg1 Qf2#
>>>
>>>Greetings,
>>>Paul
>>
>>Oh yes, this one is harder.  Up to now I know that there is no mate in 6
>>(471 secs), and the effective branching factor appears to be above 20.
>>Therefore I estimate well over 2 days for the mate in 8 to complete.
>>I think I will let him do it.  OTOH, within these two days Leonid will
>>come up with at least two more of these  ;-)  Such is life.
>
>Wow ... this is unexpected! Tells you how much I know about matesolving.

Hey, wait a second... while I write this answer, Chest comes up with a mate
in 7!  Sorry Paul, that is unexpected for me, too.  Here we go:
There are two key moves:  exf2+ and  Qaxd4 (the first two moves of your PV).
My PVs (with some more variants) look like:

exf2+ Bxf2  Qaxd4 Be3   Nxc2+  Qbxc2 Qxe2+  Kxe2  Qfxe3+ dxe3 Qxe3+  Qxe3 Qxe3#
      Nxf2  Qaxd4 Bxd3  Bxd3   Ne5   Qfxf2+ Bxf2  Qxf2+  Qxf2 Qxf2+  Rxf2 Bxf2#
      Rxf2  Qaxd4 Bxd3  gxh1Q+ Qhf1  Qxf2+  Bxf2  Qxf2+  Qxf2 Bxd3+  Ne5  Bxf2#
      Qxf2  Qcxd4 Qhxg2 Qxf2+  Qxf2  Bxf3+  Qe3   Qfxe3+ dxe3 Qe2#
Qaxd4 Bxd3  exf2+ Bxf2  Qxf2+  Nxf2  Bxd3   Nd4   Qxe2+  Nxe2 Qfxf2+ Rxf2 Qxf2#
      Qbxd3 exf2+ Bxf2  Qxf2+  Nxf2  Bxd3   Nd4   Qxe2+  Nxe2 Qfxf2+ Rxf2 Qxf2#
      dxe3  Nxf3+ Nxf3  Qxe2+  Kxe2  Qxf3+  Ke1   Qdxe3+ fxe3 Qxf1#
                                                         -*-  Qcxe3+ Qxe3 Nxc2#

Took 2.3 hours on K7/600 with 350MB hash.


> And no,
>this was one of Leonid's last problems, he's collected enough statistical data
>over the last months, I think he's nearly finished. ;)

Haha, you are joking ;-)
OTOH, he must have quite an interesting collection by now.  At some time,
he should offer us the complete collection:  "Easy and very easy mates"  ;-)

And then he starts his new collection "Not so easy mates" ... <shudder>.

>>Groetjes,
>>Heiner
>
>Haha ... perfect ... it's a catchy phrase, isn't it?

Yes, exactly!  I always wondered upon a good reply to it, and this time I
got you!

> And if you also pronounced
>it, you're throat must be cleared now! ;) Always wondered how Dutch sounds to
>"foreigners", but alas, I'll never know :(

I'm from northern Germany, and do understand most of "Platt", which is not
_that_ different... well there are some similarities.  Some years ago I
spent 3 days in Utrecht, visiting another puzzle fan (Andreas Gammel),
so I have heard some Dutch myself.  I dare to imagine the pronunciation
of "Groetjes" (Chhhröitjes)... does that come close?

>Venlig Hilsen,
>:Paul

Now you got me.. my Dutch/German is just not handy :-(  I'll look it up.

Herzliche Grüße aus Berlin,
Heiner



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