Turmoil reigns at the Court of the White King; all pieces oppose one another.
The King and his entourage (The queen, king, and the 3 pieces to his right) can be spread inside the 5 x 5 domain from [Q1 - KR5] with only the King on the first rank, where he is at home.
During this state of upheaval no piece threatens another.
Within a smaller domain than the given 5x5 space, place the pieces such that the Queen can force "mate" in just one move while remaining free from aggression herself, though possibly threatening others. (I note two different arrangements)
Note:
1. Other than the "domestic aggression" all chess rules still apply.
2. No dimension of the smaller domain is greater than 5.
Bonus:
1. How many cases of the White Court's disarray can you find? I have slightly over 30.
2. Offer one where Q and KB files are vacant.
(In reply to
Solution by Dej Mar)
I have corrected my program, removing placement of other pieces in the same rank (row) as the king, and now I get only 48 arrangements:
bn... b.n.. .nb.. .nb.. ..bn. ..bn.! ..b.n ..b.n
..r.. ...r. r.... ....r r.... q.... r.... q....
....q ..... ..... ..... ..... ..... ..... .....
..... ....q ...q. ...q. ....q ....r ...q. ...r.
.k... .k... .k... .k... .k... .k.Q. .k... .k...
..b.. .n..b! .n..b ..n.b! ...nb! ....b ....b! ....b
q.... r.... ..r.. ..... ..r.. q.... ..r.. q....
...r. ..... ..... r.... qQ... ....n qQ... ...r.
....n ...q. ...q. ...q. ..... ...r. ....n ....n
.k... .k.Q. .k... .k.Q. .k... .k... .k... .k...
...r. ...r. ....q ...q. ...q.! ...r.* ...n.! ...n.
nb... nb... nb... nb... nb... .b... ...b. ...b.
....q ..... ...r. ....r ..... .n... r.... q....
..... ....q ..... ..... ....r ....q ....q ....r
.k... .k... .k... .k... .k.Q. .k... .k.Q. .k...
r....! .....! qQ...! n.... n....! ...r. ....r ....q!
.n.b. .n.b. ...b. ...r. ...q. n.... n.... n....
..... r.... ...n. b.... b.... b.... b.... b....
....q ....q ....r ....q ....r ....q ...q. ...r.
.k.QQ .k.QQ .k... .k... .k.Q. .k... .k... .k..Q
...q.! ...r. ....q ...r. .....! .Q...! q.... ...r.
n.... ..... ..r.. ..... r.... q.... ..r.. q....
b.... bn... bn... .nb.. .nbQ. .Qbn. ...nb ....b
....r ....q ..... ....q ....q ....r ..... ....n
.k.Q. .k... .k... .k... .k.Q. .k.Q. .k... .k...
...q.! q.... ...n. ...n. ....r ..r.. ..q.. .....
r.... ..r.. ..r.. ....r ...n. q.... r.... ..r..
.Q..b ....b q.... q.... q.... ..... ..... q....
....n ....n ...b. ...b. ...b. ...bn ...bn ...bn
.k... .k... .k... .k... .k... .k... .k... .k... 48
I note, for example, that the second arrangement in your third row (the last one with the queen in the top-right corner) has the bishop attacking the rook.
The above tableau has an exclamation mark(!) next to what my program identified as places where the queen has a checkmate possibility, as the program has not yet been corrected to identify interposition by king's defending forces. I had assumed these forces would not put themselves into jeopardy to save the king.
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Posted by Charlie
on 2007-10-21 13:11:37 |
re: Solution
