perplexus.info :: Games : Disarray - Anarchy At the White Court

Disarray - Anarchy At the White Court (Posted on 2007-10-19)

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.

Submitted by brianjn

Rating: 5.0000 (1 votes)

Solution: (Hide)

Case 1 Case 2 * Kt * B * R * * * * R * * * * * Kt B * * * * * * Q * * * * Q * K * * * * K * * *
Q to either R1 or Kt1. Q to Kt1.

In total I have 37 situations for these pieces to be placed. Of these, two have vacant Q files one of which has a vacant KB file.

* * * R * * B * * * * Kt * * * * * * * Q * K * * *

I note that Dej Mar, in the first comment, has offered the above as solutions to two components of my poser. [Substitute 'N' for 'Kt', difference in recording convention.
While I found 37 for Bonus 1, Dej Mar has claimed higher.
I wondered about a computer solution but slightly discounted it. Charlie however proved me wrong. Between him and Dej Mar they have resolve that there are 48 arrangements for this situation.
I had developed a strategy which focused upon firstly placing the Bishop in a valid position and then the Queen. Placing the Rook further limited options. The Knight was last.
While the strategy is fine, ensuring that you don't miss an option is hard to guard against. Similarly deluded/distracted (?) I also fell short it my sequel.
Well done Dej Mar and Charlie, I enjoyed your exchange. I commend it to those seeking a fuller solution.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Can you add?	brianjn	2007-11-02 05:28:01
re(3): Solution -- another correction to my program	Charlie	2007-10-22 16:50:17
re(2): Solution	Dej Mar	2007-10-22 13:39:19
re: Solution	Charlie	2007-10-22 09:29:00
re: Solution -- my program fixed	Charlie	2007-10-22 00:17:33
Ideas Exchange	brianjn	2007-10-21 22:49:15
re(2): Solution	Dej Mar	2007-10-21 14:53:16
re: Solution	Charlie	2007-10-21 13:11:37
re(5): Disarray at Court continues	Dej Mar	2007-10-20 09:31:23
re(4): Disarray at Court continues	brianjn	2007-10-20 05:43:43
re(3): Disarray at Court continues	Dej Mar	2007-10-20 04:50:03
re(2): Disarray at Court continues	brianjn	2007-10-20 02:13:39
re: Disarray at Court continues	Dej Mar	2007-10-20 01:02:26
Disarray at Court continues	brianjn	2007-10-20 00:46:44
re: I found (re: Solution) ...	Dej Mar	2007-10-19 23:00:36
re: Solution (other part)	Charlie	2007-10-19 17:40:17
I found (re: Solution) ...	Charlie	2007-10-19 17:31:02
Solution	Dej Mar	2007-10-19 15:30:35

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