Magic Cats in a Battle
(Published on 7. January 2024, 18:20 by Rodr1gues_gamer)
Rules:
Place the digits 0-9 once in each row, column and box. To enable this, there are 9 Schrödinger cells that contain two digits each. Their value is the sum of the two digits. Additionally, there are 9 negator cells. Their value is the negative of their digit.
Schrödinger cells and negator cells behave like stars in a starbattle puzzle, i.e., there is one of each in each row, column and 3x3 box. Stars cannot touch each other(even diagonally). Each cage contains exactly one star.
Each 3x3 box has a different number from 1 to 9 assigned to it. The 3x3 grid of boxes represents a magic square, i.e, each row, column and diagonal of the grid sum to the same total.
In a box, the assigned number is equal to the mean of the numbers in the box's cage(for example, if box 4 had the number 2 assigned to it, then (r4c3 + r5c3 + r6c3) / 3 would equal 2).
Additionally, the assigned number is the sum of the digits in a line(for example, if box 1 had the number 5 assigned to it, then r2c3 + r3c3 would equal 5).
SudokuPad link
This is the first puzzle I've ever made, hope you like it! Any feedback is much appreciated!
Solution code: The digits in the Schrödinger cells(18 digits), from top to bottom.
Comments
on 15. February 2024, 21:50 by Rodr1gues_gamer
The two types of cells are the same set of stars. So, no, they cannot touch each other diagonally.
on 14. February 2024, 23:50 by RubberMittens
I have to ask since I've tried solving this multiple times and keep coming across the same contradiction, so I suspect I may be misunderstanding the rules. It's clear that Negator cells cannot touch other Negator cells, but can they touch Schrodinger cells (basically there's two types of stars)?
on 8. January 2024, 15:33 by Rodr1gues_gamer
Changed tags
on 7. January 2024, 19:04 by Rodr1gues_gamer
Rules changed accordingly
on 7. January 2024, 18:52 by josh_johnson
The rules state "Additionally, the assigned number is the sum of the digits in a line". I think that this is intended to be the sum of the 'values' rather than the sum of the 'digits'.
I think that it is also intended to say "the assigned number is equal to the mean of the **values** in the box's cage"
If this is the intent, you may want to reword the rules a bit here to be precise on the terminology of digit vs value.
