While still at home the Black King,
in rather similar circumstances as his White oppressor, finds disarray at Court [K, Q, QB, QKt, QR] on his Queen’s side.
Again, he is the only occupant of the first rank and all 5 pieces are spread within the domain [K1 – QR5] with none being a direct threat to another.
Find a situation where the occupants again enjoy a lesser domain, and the Queen again can force ‘mate’ without herself being under any threat; after a successful "coup d'etat" who cares if another is also under threat?
Bonus:
I offer 28 scenarios where the Court enjoys 'serenity', but how many fit the "more reduced" domain category?.
In the anarchial courtyard of the Black King, there is only one scenario that the Queen can "mate!" the King in one move. This scenario is NOT one of the "reduced domains".
(Bonus)
1. There are 48 different arrangements of the Black Court where none personally attacks each other, with a total of five "reduced domains".
.Q... .Q... .Q... .Q... ..Q.. ...Q. ...Q.
....N ....N ..... ...R. ..... .R... .R...
B.... ....B B...N B...N .R... N...B ....B
..R.. ..R.. ...R. ..... ...BN ..... ....N
K.... K.... K.... K.... K.... K.... K....
...Q. ...Q. ...Q. ...Q. ...Q. ...Q. ....N
N.... NB... N.... NB... N.... NB... .Q...
B.... ..... ....B ....R B.... ..... ....B
..R.. ..R.. ..R.. ..... ....R ....R ..R..
K.... K.... K.... K.... K.... K..!. K....
...R. ..R.. N.... N.B.. .NB.. ..R.. B...N
.Q... ....Q ....Q ....Q ....Q ..... ...R.
....B N.... B.... ..... ..... .Q... .Q...
....N ...B. ...R. ...R. ...R. ...BN .....
K.... K.... K.... K.... K.... K.... K....
..B.N ....R ...R. BN... B.... .N... BN...
..... NB... NB... ..R.. N.... .B... .....
.Q... ...Q. ....Q ....Q ....Q ....Q ....Q
...R. ..... ..... ..... ..R.. ..R.. ..R..
K.... K.... K.... K.... K.... K.... K....
..... N.... ....N B...N N.... ....N BN...
NB... .R... .R... ...R. ...R. ...R. .....
....Q ....B ....B ..... B.... B.... ....R
..R.. ..Q.. ..Q.. ..Q.. ..Q.. ..Q.. ..Q..
K.... K.... K.... K.... K.... K.... K....
.N... .R... ....R .NB.. ..B.N ...R. ...R.
.B... N.... N.... ....R ..... N.... NB...
....R B.... B.... ..... .R... B.... .....
..Q.. ...Q. ...Q. ...Q. ...Q. ....Q ....Q
K.... K.... K.... K.... K.... K.... K....
N.... B.N.. B.... B.... B..N. ..BN.
...R. ...R. ...R. N.... ..... .....
B.... ..... N.... .R... .R... .R...
....Q ....Q ....Q ....Q ....Q ....Q
K.... K.... K.... K.... K.... K....
Edited on October 25, 2007, 12:31 pm
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Posted by Dej Mar
on 2007-10-25 11:16:34 |
Solution
