Normal sudoku rules apply.
Galaxies: Divide the grid into non-overlapping groups of orthogonally connected cells called galaxies. Each galaxy is 180° rotationally symmetric around its center. Orthogonally adjacent galaxies cannot be congruent (i.e. they cannot have the same shape and size, even if they are rotated or reflected).
Galaxy centers: Each circle is the center of a galaxy. Not all galaxy centers are necessarily given. The number in such a circle indicates the sum of the digits in that galaxy. (When a circle appears in the center of a cell, the corresponding number is given in the top left of the cell instead of in the circle so it can be seen after placing digits.) Digits may repeat within a galaxy.
Example for reference:
Solution code: Row 8
on 22. August 2024, 13:53 by wuc
Awesome. One DoF hurdle that was very hard. Rest hard but smooth. Great fun thx.
on 27. July 2024, 18:20 by trashghost
Astronomically fun!! Galaxy puzzles always leave me star struck, and this one is definitely a solar coaster! Thanks for the beautiful out-of-this-world puzzle! ;)
on 26. July 2024, 19:14 by Volkner
Does every cell have to be in a galaxy?
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Reply: Yes! But not all centers are necessarily given so there may be cells that are not attached to a circle.
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Great puzzle. Finally got back to it. What a wickedly difficult break in.