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(61) Posted by Dan Meinking [Tuesday, Jul 27, 2010 08:10]; edited by Dan Meinking [10-07-27] |
Refresher: "CapZug" is short for "Capture Zugzwang" or, in a problem context, "self-capture by zugzwang". The aim of CapZug has been met when:
- the side on-move has only capture move(s) available
- the side on-move is NOT in check
In other words, the side on-move is FORCED to make a capture due to zugzwang. The notation isn't carved in stone, but I'm using "~x" (any capture) for now.
I wanted to post my first significant example of CapZug here, in the hopes it might inspire others to try. Only the last 5 moves (10 plies) have been verified, so PLEASE TEST!
DM original
(= 3+6 )
h~x8 (3+6) C- [help-CapZug in 8]
Solution and comments hidden below:
1.d1B Kxc1 2.Bb3 axb3 3.f1B b4 4.Ba6 b5 5.h1B bxa6 6.Bb7 axb7 7.a2 b8R 8.a1B Rb2~x
The Bc1 is needed to force 1...Kxc1; otherwise 1...Ka1 ... 7.a2 b8R~x (short-cook).
I'd like to write a short article in the next month or so. If you'd like to contribute a CapZug original, please email me at: dmeinking AT roadrunner etc. etc. |
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(62) Posted by Bojan Basic [Tuesday, Jul 27, 2010 09:04]; edited by Bojan Basic [10-07-27] |
Dear Dan,
Sorry, but your problem is cooked. Here is a cook I found:
1. d1S Kc2 2. Sc3 Kxc3 3. h1B Kc4 4. Bd5+ Sxd5 5. f1B+ Kc5 6. Bb5 Kxb5 7. Bf4 Kc6 8. Bb8 Sc7. |
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(63) Posted by Dan Meinking [Tuesday, Jul 27, 2010 16:08] |
Good sleuthing, Bojan! Ironic that the 'necessary' Bc1 ends up causing trouble. :-)
The matrix is delicate, but I believe it can be fixed. Will have another look this evening. Anyone else out there is welcome to have go at it. :-) |
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(64) Posted by Dan Meinking [Tuesday, Jul 27, 2010 22:00]; edited by Dan Meinking [10-07-27] |
Though not ideal, I believe this fixes the problem:
(= 4+7 )
h~x8 (4+7) C- [help CapZug in 8]
I branch-tested 1.Bb2 Kc2 2.Be5 fxe5 3.d1R e6 4.Rd7 exd7 as h~x4, no solution. If wPf4 is captured, or if Pf4xe5 or Pf4xg5 is played, the (freed) bPf5 will be tough to "zug".
In the meantime, I'll keep looking for something better. |
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(65) Posted by Bojan Basic [Tuesday, Jul 27, 2010 22:40] |
Sorry, but cooked again.
1. d1B Kxc1 2. Bc2 Kxc2 3. f1B Kc3 4. Bc4 Kxc4 5. h1R Kc5 6. Rh2 Kc6 7. Rh8 Sa6 8. Ra8 Sb8. |
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(66) Posted by Dan Meinking [Wednesday, Jul 28, 2010 04:21]; edited by Dan Meinking [10-07-28] |
@Bojan,
Your 2 cooks make for an cute series mini:
(= 2+2 )
ser-~x3 2 solutions (2+2)
1.g1B 2.Bh2 3.Bb8 Sc7~x and 1.g1R 2.Rg8 3.Ra8 Sb8~x
Ideal CapZugs :-)
OK, let's try the other side of the board:
(= 4+7 )
h~x8 (4+7) C-
Now of course: 7.a2 b8Q 8.a1B Qb2~x.
EDIT: This cooks: 1.d1B Kxc1 2.Bc2 Kxc2 3.f1Q Sh7 4.Qd3+ Kxd3 5.h1Q Kd4 6.Qd5+ Kxd5 7.Kg7 Ke6 8.Kh8 Kf7~x |
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(67) Posted by Bojan Basic [Wednesday, Jul 28, 2010 05:50] |
QUOTE @Bojan,
Your 2 cooks make for an cute series mini:
That was cute, indeed. :)
As for your last version, a "combination" of the previous cooks leads to a cook even in less numbers than permitted.
1. Bb2 Se6 2. f1R+ Kc2 3. Rf7 Kxd2 4.h1B Ke3 5. Be4 Kxe4 6. Rh7 Kf5 7. Bh8 Sg7. |
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(68) Posted by Dan Meinking [Wednesday, Jul 28, 2010 07:09] |
Your latest cook convinces me that wP minimal is needed:
(= 2+9 )
h~x8 (2+9) C- [help CapZug in 8]
1.f1B Kxb1 2.Bd3 cxd3 3.g1B dxc4 4.Bb6 c5 5.h1B cxb6 6.Ba8 b7 7.h2 bxa8Q 8.h1B Qg2~x
C+ for the last 4 moves. Ph6 stops: 5.Kg3 cxb6 6.Kg2 b7 7.Kh1 b8Q 8.h4 Qg3~x |
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(69) Posted by Bojan Basic [Wednesday, Jul 28, 2010 07:43]; edited by Bojan Basic [10-07-28] |
1. f1B(Q) Kb2 2. Bd3 cxd3 3. g1B dxc4 4. Bb6 c5 5. Be4 cxb6 6. Ba8 b7 7. h1B bxa8Q 8. h2 Qg2
Possible fix: +wPa2, +bPa3. In that case, even Bb1 becomes unnecessary (unless there is a cook again, though I don’t see it so far). |
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(70) Posted by Dan Meinking [Wednesday, Jul 28, 2010 20:50]; edited by Dan Meinking [10-07-29] |
@Bojan: Good catch! I think you're right: wPa2/bPa3 and -bBb1 should work.
DM (& BB?) original
(= 3+9 )
h~x8 (3+9) C- [help CapZug in 8]
1.f1B Kb1 2.Bd3 cxd3 3.g1B dxc4 4.Bb6 c5 5.h1B cxb6 6.Ba8 b7 7.h2 bxa8Q 8.h1B Qg2~x
Will continue looking for improvements... |
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(71) Posted by Dan Meinking [Thursday, Jul 29, 2010 07:00]; edited by Dan Meinking [10-07-29] |
@Bojan: This has a wS (again), but I think there's enough free-falling pawns to stop cooks (eg. Kh1/Sg1/Pg2):
(= 3+8 )
h~x8 (3+8) C- [help CapZug in 8]
1.f1B Sg4 2.Bd3 cxd3 3.g1B dxc4 4.Bb6 c5 5.h1B cxb6 6.Ba8 b7 7.h2 bxa8Q 8.h1B Qg2~x |
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(72) Posted by Sarah Hornecker [Thursday, Jul 29, 2010 07:23]; edited by Sarah Hornecker [10-07-29] |
1.g1B Se4 2.Kf3 Sd6 3.Kg2 Sxf5 4.Kh1 Se3 5.g4 Sf1 6.g3 Kb2 7.g2 Kc3. Short solution.
I see this without a computer.
Or 7...Ka3 8.c3 Ka2 or similar if you don't want short solutions allowed. |
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(73) Posted by Dan Meinking [Thursday, Jul 29, 2010 11:55] |
@Siegfried: Well done! I should've seen that one. :-) |
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(74) Posted by Sarah Hornecker [Thursday, Jul 29, 2010 12:58]; edited by Sarah Hornecker [10-07-29] |
Does Pf2->e2 help with 1.e1S and 2.Sd3?
EDIT: Ok, it would destroy the task of four bishop promotions but better than nothing... |
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(75) Posted by Dan Meinking [Friday, Jul 30, 2010 02:11]; edited by Dan Meinking [10-07-30] |
"Does Pf2->e2 help with 1.e1S and 2.Sd3?"
It may yet come to that, Siegfried. :-) Perhaps there's a germ of an AUW there? I'd like to keep the 4B promotions. The only problem is, the more recent matrices are getting dangerously close to:
DM, StrateGems 2008, Comm.
"to the Palisades Poker Club"
(= 3+8 )
h=8 (3+8) C+
1.c1B b4! 2.Bf4 e3 3.b1B exf4 4.Bg6 f5 5.a1B fxg6 6.Bh8 g7 7.h1B gxh8Q 8.Ba8 Qxa8=
I dubbed this "Quad Jacks with a Queen kicker". :-)
The original h~x8 design (3+6) at least "felt" different, whereas the newer tries not so much. |
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(76) Posted by Dan Meinking [Sunday, Aug 1, 2010 15:50]; edited by Dan Meinking [10-08-01] |
Here's another shot at the 4B CapZug idea:
(= 3+7 )
h~x8 (3+7) C- [help CapZug in 8]
1.e1B Bg8! (Bc2?) 2.Bc3 bxc3 3.g1B cxb4 4.Bc5 bxc5 5.h1B cxb6 6.Ba8 b7 7.h2 bxa8Q 8.h1B Qg2~x
I believe -wBb3/+wSh7 for 1.e1B Sf8! also works. A nice setting, if it holds.
EDIT:
Even better...
(= 3+6 )
h~x8 (3+6) C- [help CapZug in 8]
1.f1B Sf8! 2.Bd3 cxd3 etc.
I don't see any 1st-rank zugs, nor any (others) in the h8 vicinity. |
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(77) Posted by seetharaman kalyan [Sunday, Aug 1, 2010 21:20]; edited by seetharaman kalyan [10-08-01] |
why not WP f7 instead of WSh7?
Even better I would prefer a setting with BK at g3 and a WR at a4 and the WK shifted to d1.
Soln. 1.f1B Ke1! etc... 7.h2 b:a8B! 8.h1B Bg2!, if it can be sound. |
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(78) Posted by Dan Meinking [Monday, Aug 2, 2010 00:40] |
@Seetharaman -- Good question! I considered wPf7, but 1...f8R will cause cooks. The R simply cleans up the remaining pawns and (with bK back on h8) plays Rg7~x. Even with "only" a wS on board, the bK must be set far away from the southeast Pawn cluster due to "traps" like: Kh1/Sg1, Kh1+Rg1/Sf1, Kg1+Bh1+Ph2/Sf1, etc. |
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(79) Posted by Dan Meinking [Monday, Aug 2, 2010 04:19]; edited by Dan Meinking [10-08-02] |
This seems interesting -- PLEASE TEST!!
DM original
(= 5+7 )
pser-h~x8 (5+7) C- [parry-series help CapZug in 8]
Intent hidden below:
1.Kc8 2.Bf3 3.Bd1+! Rxd1! 4.e2 5.exd1B+ Kb1 6.Bf3 7.Ba8 8.Kb7 c8R~x Double Phoenix.
The bRa2/bPa3 were added to stop (eg.) 1.b1R 2.Bc3 3.Rb2+ Kxc3 4.Rc2+ Kb4 5.Rb2+ Ka5 6.Rb5+ Bxb5 7.e2 c8R~x. I don't see how 1.e2 2.exf1Q 3.Qe2+ Kb1 4.Qd1+ Rxd1 can help as a6 is now unguarded.
Anyone know how to test this in Popeye? I tried using "black 8pser ..." and "black 8phser ...", but Popeye says "input-error: command not known".
EDIT: Cooks in 7: 1.Kc8 2.Be4+ Bd3 3.Bf3 4.Bd1+ Kb1 5. Bf3 6.Ba8 7.Kb7 c8R~x. I suppose +bPf2/bPg3/bSh1/wPg2 would fix that, but there's probably a better way. |
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(80) Posted by Dan Meinking [Tuesday, Aug 3, 2010 05:02] |
This might have a better chance:
DM original
(= 5+7 )
pser-h~x8 (5+7) C- [parry-series help CapZug in 8]
Solution hidden below:
1.Ke8 2.Bh3 3.Bf1+! Rxf1! 4.g2 5.gxf1B+ Kb3 6.Bh3 7.Bc8 8.Kd7 e8R~x Double Phoenix. |
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