Each row, column, and 3x3 region has to contain the digits from 1 to 9 once each.
The number in each cage is the sum of the differences between the digit in that cell and the digits in each orthoganally connected cell. Ie a cage with the number 6 could contain a 4 surrounded by 2,3,5,6 as 4-2 + 4-3 + 5-4 + 6-4 = 2+1+1+2 = 6, the same cage could also contain a 6 surrounded by 4,5,7,8 etc.
Each cell with a cage will form a domino with an orthogonally connected cell, the digits placed in these two cells will always add up to the same sum. No domino can contain more than one cage or share a cell with another domino.
Global modulo 3: in each 2x2 box there must be at least one digit from each of the sets 147, 258, 369
Solution code: Row 9 left to right
on 17. November 2025, 23:35 by Rabarberkalle
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