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

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)!

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.

So basically a h#1 with BlackUltraSchachZwang?

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.

"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.

Old idea? When did you become that old? :)

"Old" as I forget about it

And nice results Hauke! The count for my original position is 23, by the way.

Many white repetitions, as far as I see. What about the original intention to have (as much as possible?) different responses on the checks?

(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

The 170 solutions has 24 different mates:

begin
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

QUOTE

I get 37

Bc2-d3 is repeated thrice, so 'only' 35 unique mating moves.

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

(= 15+8 )