## Magical Queendom Chess Sudoku

(Eingestellt am 6. Juli 2020, 00:52 Uhr von SudokuExplorer)

This is potentially a new variant chess sudoku. Below the sudoku and Penpa-edit link, I have added a simplified description of the rules without the characters (if the story confuses you).

In the magical queendom, the centres of each 3x3 region form a magic square (rows, columns and main diagonals have the same sum).
In each 3x3 region is a Queen represented by a 5 (no two 5s can be a chess queen's move apart).
There are vikings that want to attack the queen, represented by 1s and 9s.

As a result, the queen is always guarded by knights (who are part of regiments 2,3,4,6,7 or 8). That is, each edge adjacent cell to a queen is a knight. No two knights from the same regiment are a knight's move apart. That is, all the numbers 2,3,4,6,7 and 8 have the anti-knight constraint. We consider a queen to be uniformly-guarded, if each of its guards/knights are from different regiments.

Two queens a knight's move apart can pass a message to each other via their guards. Each queen can communicate with at least one other queen (pro-knight constraint). Not all queens need to be uniformly-guarded, but every queen that can communicate with the centralmost queen (possibly via other queens) is uniformly-guarded.

Below we are given one viking and one knight (which may or may not be guarding a queen; to be determined during the solve). This is my first new variant, I hope you enjoy it!
Ps. Private message what you can say about the vikings (at the end of the puzzle).

Try the puzzle on penpa

Simplified Rules:
The grey centres of each 3x3 region form a magic square (rows, columns and main diagonals have the same sum).
5 has the anti-queen constraint, that is, no two 5s can be a chess queen's move apart. (Queen in the story)
5 also has the pro-knight constraint, that is, every 5 is a knight's move away from at least one other 5. We say that they are communicating with each other.
There is no 1 or 9 orthogonally next to a 5. (Vikings in the story)
The numbers 2,3,4,6,7 and 8 have the anti-knight constraint. (Knights in the story). For example, two cells a knight's move away cannot both be 2s, nor can they both be 8s.

A 5 is uniformly-guarded if each of its orthogonally adjacent cells are different.
All 5s that communicate with the centralmost 5 (possibly via other 5s) are uniformly-guarded. That is, there may be a 5 which is a knight's move away from both of them.
Every other 5 may or may not be uniformly-guarded (to be determined during the solve).

Lösungscode: Enter 8th row (left to right) and last column (top to bottom) (Eg 123456789123456789)

Zuletzt geändert Heute, 00:49 Uhr

Gelöst von panthchesh, Rotstein, NikolaZ, henrypijames, Saugust2, marcinj, Ninja94, Kweston, zorant, ThrowngNinja, Grave, geronimo92
Komplette Liste

### Kommentare

Gestern, 21:44 Uhr von SudokuExplorer
I have added more concise rules below the sudoku, so if anyone else does attempt it, then hopefully the rules will be less confusing. Also, I have replaced the term "well-guarded" by "uniformly-guarded", in line with the queendom mystery puzzle. Thanks for all the feedback.

am 9. Juli 2020, 17:32 Uhr von SudokuExplorer
I have lowered the difficulty based on feedback.

am 6. Juli 2020, 12:37 Uhr von SudokuExplorer
Edited to clarify that all the numbers 2,3,4,6,7 and 8 have the chess anti-knight constraint

am 6. Juli 2020, 12:29 Uhr von SudokuExplorer
All the numbers 2,3,4,6,7 and 8 have the anti-knight constraint, regardless of whether it is next to a queen (5)

Zuletzt geändert am 6. Juli 2020, 12:12 Uhr

am 6. Juli 2020, 12:10 Uhr von henrypijames
Clarification on rules: Are all 234678 knights, or only those who are guarding a queen? For example, if a 2 is *not* next to a 5, can it be a knight's move away from another 2?

Zuletzt geändert am 6. Juli 2020, 02:06 Uhr

am 6. Juli 2020, 02:04 Uhr von panthchesh
It's helpful to color each character a different color! :)

am 6. Juli 2020, 01:57 Uhr von henrypijames
Wow, this might be the most complicated, yet thematically coherent set of rules I've seen around here - and that is saying something! I'm not sure I've understood it all, but I'm pretty sure it will be extremely hard keeping all the rules in my head at the same time, let alone applying them simultaneously.

 Schwierigkeit: Bewertung: N/A Gelöst: 12 mal Beobachtet: 0 mal ID: 0003T9

Lösungscode: