Logic Masters Deutschland e.V.

Fortress Fillomino - Periodic Sums (9x9)

(Published on 5. June 2026, 16:45 by ThePedallingPianist)





click image to play this week's Fortress Fillomino

FORTRESS FILLOMINO:
• Divide the grid into orthogonally connected regions and fill each cell with a digit showing the number of cells in the region to which it belongs;
• N.B. In this puzzle, all regions must be single-digit (max. 9) in size;
• Each region must be either strictly larger than all of its orthogonal neighbours or strictly smaller than all of its orthogonal neighbours.

PERIODIC SUMS:
• A clue outside the grid shows the sum of N and every Nth digit thereafter in the indicated row or column, where N is the digit in the first seen cell;
• For example, a row of 345678912 would show a clue of 18 (3+6+9) on the left and 26 (2+9+7+5+3) on the right.

Solution code: Row 1 (top), left to right

Last changed on on 5. June 2026, 20:28

Solved by KNT, JustinTucker, Jesper, Morisenseiisgod, SKORP17, tuturitu, Calesch, jkuo7, apothycus, damo_89, fkib, aqjhs, yttrio, kehan628, misko, Counterfeitly, dogfarts, Mr_tn, marcmees, kasperd, achim-t, Lyouke, Flinty, Alc4riN, DragonEgg, widjo, TalkingFredish, hurrdurr, karlmortenlunna, bernhard, Nell Gwyn, Sotehr
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Comments

on 13. June 2026, 21:53 by kasperd
Fortress Fillomino is such a nice genre. We need more of those.

on 5. June 2026, 20:28 by ThePedallingPianist
Aligned rules between SudokuPad and LMD (all regions are max. 9 in size) - thank you @eladv for noticing!

Last changed on 5. June 2026, 20:28

on 5. June 2026, 19:51 by eladv
@ThePedallingPianist: this sentence appears in the rules on sudokupad but not on LMD:

"N.B. In this puzzle, all regions must be single-digit (max. 9) in size"

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TPP: Thank you for catching this!

on 5. June 2026, 17:38 by KNT
deceptively tricky! Probably my favorite of these, thanks.

Difficulty:3
Rating:96 %
Solved:32 times
Observed:0 times
ID:000STJ

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Solution code:

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