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MatPlus.Net  Forum General Maximizing Promotion Combinations In The Directmate |
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| | | (1) Posted by James Malcom [Saturday, Jan 14, 2023 14:26] | Maximizing Promotion Combinations In The Directmate
An idea I had some time ago; in a direcmate, if the best option for both sides is promoting to a certain piece, to what extent can you maximize it for each possible combination?
Here is my research, and may they be improved. More economical forms are also welcome. All diagrams are my compositions.
Q+q: 4+7, http://superproblem.ru/archive/probl/N/Malcom-19x-2020-1.gif
Q+r: 1+1, #5
 (= 7+6 )
Q+b: 1+3, http://superproblem.ru/archive/probl/N/Popov-7x-08.gif
Q+n: 1+7, http://superproblem.ru/archive/probl/N/Popov-11x-2014.gif
R+q: 1+5, #14
 (= 10+11 )
R+b: 1+1, #4
 (= 7+9 )
R+n: 1+3, #5
 (= 10+9 )
B+q: 1+1, #13
 (= 11+12 )
B+r: 1+1, #4
 (= 10+12 )
B+b: 1+2, #5
http://superproblem.ru/archive/probl/N/Johandl-05-1963.gif
B+n: 1+3, #4
 (= 9+9 )
N+q: 2+7, #19
 (= 11+14 )
N+r: 1+1, #4
 (= 9+9 )
N+b: 2+1, #7
 (= 9+11 )
N+n: 3+5: http://superproblem.ru/archive/probl/N/Malcom-10x-2020.gif
2+6: http://superproblem.ru/archive/probl/N/Malcom-10x-2022.gif
| | | (2) Posted by Hauke Reddmann [Saturday, Jan 14, 2023 18:04] |
Diagram "B+r: 1+1, #4" - looks strange,
is 1.Kxf1 bxa1R 2.h8B intended?
Also, R+n should be 1+3?
| | | (3) Posted by James Malcom [Saturday, Jan 14, 2023 21:55] |
Thanks for spotting that, Hauke, R+n count corrected.
And "1.Kxf1 bxa1R 2.h8B" is indeed the solution for B+r.
| | | (4) Posted by Joose Norri [Saturday, Jan 14, 2023 22:45] |
Well. The eightfold white promotions by Cheron and others are correct as moremovers also, if you allow dualistic sidevariations.
| | | (5) Posted by Hauke Reddmann [Sunday, Jan 15, 2023 00:08] |
Bloody five hours for 2N+r - I'm getting old :-)
Feel free to improve, I couldn't get the capture balance to
work without a pair of like bishops:
 (= 12+8 )
1.e7? bxc1Q! 2.e8S Qf4, thus a Holst Vorplan:
1.f8S! bxa1R (otherwise Nd7) 2.Ng6 hxg6 3.e7 4.e8S
Surely the main matrix can be recycled.
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