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Problem 793: Igor Agapov - Threemover
igor.agapov(31.12.2016) Nice threemover miniature with AUW on the same square by Igor Agapov.
793. Igor Agapov (Russia)
#3 (3+2)
a) Rd7-d8b) Rd7-e7
c) Pb5-c6d) -Pb5

a) 1.a8Q threat 2.Qb8+ Kc6 3.Rd6#
b) 1.a8R Kc6 2.Rd8 Kb6 3.Rd6#

c) 1.a8S+ Ka6 2.Kc5 Ka5 3.Ra7#
d) 1.a8B Ka6 2.Kc5 Ka5 3.Ra7#

White AUW on the same square.
Task for 5-piece-problem in #3.
Compare toyacpdb/351680(Author).


0 #1 Seetharaman Kalyan 2016-12-31 11:27
Huge task! Pity zeroposition is necessary.
0 #2 Seetharaman Kalyan 2016-12-31 20:20
S.N.Ravishankar points out that in position (a) after 1.a8Q 2.Kc7 there is dual 2.Kc5,Ka5 & also the threat 2.Qb8+. But I think can be ignored in a task of this magnititude.
+1 #3 Diyan Kostadinov 2017-01-01 06:30
Well, I think that the zeroposition and duals can be avoided if we combine both problems - by Titarenko and Agapov. In that way we have a good economy - 2 solutions with 4 pieces and two with 5 (included wS) with a perfect play:

white: Kc4, Ra7, Pb7
black: Kc6
b)Ra7-e8, c)+Sb5, d)+Se4

a) 1.b8R! (2.Kd4 Kd6 3.Rb6#)
1...Kd6 2.Re8 Kc6 3.Re6#
b) 1.b8Q! Kd7 2.Qc8+ Kd6 3.Re6#
c) 1.b8S+! Kb6 2.Sd7+ Kc6 3.Rc7#
d) 1.b8B! Kb6 2.Sc5 Kc6 3.Ra6#

But also is possible all solutions to be with only 4 pieces - AUW on the same square with only 4 pieces and black Minimal - a task for economy:

white: Kb4, Re7, Pa7
black: Kb6
b)Re7-d8 c)Re7-c7

a) 1.a8B Ka6 2.Kc5 Ka5 3.Ra7#
1.a8R Kc6 2.Rd8 Kb6 3.Rd6#
b) 1.a8Q Kc7 2.Qb8+ Kc6 3.Rd6#
c) 1.a8S+ Ka6 2.Kc4(5) Ka5 3.Ra7#
+1 #4 Diyan Kostadinov 2017-01-03 16:54
I am not sure which of the two versions is better - the first is with perfect twins and play, but the second is record for economy...
Or both can be published as different problems?
+1 #5 Igor Agapov 2017-01-03 18:43

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