Logic Masters Deutschland e.V.

Fill two-thirds of the grid with galaxies, which are non-overlapping regions of orthogonally connected cells.

Galaxies have 180-degree rotational symmetry around their geometric centre (galaxy is congruent/does not change position or orientation upon rotation).

The given dots indicate the geometric centres of all the galaxies and galaxy group they belong to (A,B or C). Each galaxy group has the same number of total cells in their galaxies (18).

The average digit value of a galaxy is equal to the number of cells it contains. For example, a six-cell galaxy would have an average digit value of 6 (for a digit total of 36).

Digits separated by a X sum to 10.

You've also received an alien signal from one of the galaxies! It provides a hint should the galaxy construction seem impossible. If you need it, give the signal to ChatGPT, ask it to +13 to each letter:

"Gur trbzrgevp pragre bs n ertvba vf abg nyjnlf arprffnevyl vafvqr gur ertvba"

Solve on Sudokupad