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MatPlus.Net Forum General Construction Workout: The most checkmates in response to a help check
 
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(1) Posted by Rewan Demontay (Real Name: James Malcom) [Tuesday, Jun 8, 2021 06:04]

Construction Workout: The most checkmates in response to a help check


While digging through my documents (again) I found an old idea I know was for here at some point.

Consider this position with Black to move.
(= 14+6 )

Black has a multitude of help checks that yield a #1. Overall, White has 23 different responses.

Improve that number (Hauke)!
 
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(2) Posted by Hauke Reddmann [Wednesday, Jun 9, 2021 12:50]

Do not provoke me :P
All 1 to the right, then Bb7->a8, Qc6->b7,
meaning the wQc5 is no longer pinned, meaning two more mates.
Time needed: 1 microsecond

Still, I think you should narrow down the side conditions a bit.
As is, White to move has some #1. I would prefer it if the #1 could
follow ONLY on the help checks, but so there. Likewise, Black has
some checks without a mate. Anyway. Different tasks.
 
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(3) Posted by Joost de Heer [Wednesday, Jun 9, 2021 13:10]

So basically a h#1 with BlackUltraSchachZwang?
 
 
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(4) Posted by Hauke Reddmann [Wednesday, Jun 9, 2021 13:29]

Exactly this I just entered in Popeye/Olive since I was
unable to count the solutions :-) (How can I turn on
numbering the solutions? Anyway, I think counting down
a list I even can do as a mathematician :-), I get 37,
Rewan, eat my shorts, this also was done in five minutes
plus 10 more to fine-tune and dig up how to spell
Ultraschachzwang in Popeye (it's Ultraschachzwang) :P

(= 15+6 )


Retro should be trivial: axb,cxd,exf,gxh, promote at will.

Note that discovered checks might be even more effective!
At the moment, only Rc1/Bc2 gives a few.
 
   
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(5) Posted by Hauke Reddmann [Wednesday, Jun 9, 2021 13:48]

"Might". 73 :-)

(= 12+12 )


EDIT: I didn't check if Sd3/Rd1 instead of Pd3 is retro-OK. 84 or so.

SON OF EDIT: Seems so. Here is a bit more fine tuning. 106 (? :-) solutions.
Can still be improved, I bet.

(= 13+13 )


Retro: Black captures 4x, then all pawns are free to promote.

GRANDSON OF EDIT: 170
(= 15+11 )

Retro: Black bxa,White hxg, the central pawn block can be promoted by sacrificing bBBSS.
 
 
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(6) Posted by seetharaman kalyan [Wednesday, Jun 9, 2021 14:57]

Old idea? When did you become that old? :)
 
 
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(7) Posted by Rewan Demontay (Real Name: James Malcom) [Wednesday, Jun 9, 2021 15:31]

"Old" as I forget about it

And nice results Hauke! The count for my original position is 23, by the way.
 
   
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(8) Posted by Frank Richter [Wednesday, Jun 9, 2021 15:52]

Many white repetitions, as far as I see. What about the original intention to have (as much as possible?) different responses on the checks?
 
   
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(9) Posted by Hauke Reddmann [Wednesday, Jun 9, 2021 16:06]

@Frank: That's still another task - I'm sitting here pushing the
record to hell and back, while in Hamburg the sun shines, which
happens about once in a decade. Shame on you :-)
 
   
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(10) Posted by Joost de Heer [Thursday, Jun 10, 2021 08:12]

The 170 solutions has 24 different mates:

begin
prot task.out
fors 3q1q1B/B2q1qS1/3q3r/2Sq3q/r2k1B1R/1BSB2Qq/1B1R1S2/4K1B
stip h#1
cond blackultraschach
opt noboa
end

awk '/#/ { print $3 }' < task.out | sort | uniq -c

1 Bd3*e2
1 Bd3*e4
1 Bd3*f1
1 Bd3-b1
18 Bd3-e2
18 Bd3-e4
3 Bf4*e5
19 Bf4-e3
15 Bf4-e5
1 Sc3*d1
1 Sc3*e2
1 Sc3*e4
1 Sc3-b1
1 Sc3-d1
19 Sc3-e2
18 Sc3-e4
6 Sc5*e6
9 Sc5-e6
1 Sf2*d1
1 Sf2*e4
1 Sf2-d1
18 Sf2-e4
6 Sg7*e6
9 Sg7-e6
 
 
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(11) Posted by Joost de Heer [Thursday, Jun 10, 2021 08:19]

 QUOTE 

I get 37

Bc2-d3 is repeated thrice, so 'only' 35 unique mating moves.
 
   
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(12) Posted by Hauke Reddmann [Thursday, Jun 10, 2021 10:43]

The let's up it to 44, all unique. (Retro unproblematic.)

(= 15+8 )

 
 
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MatPlus.Net Forum General Construction Workout: The most checkmates in response to a help check