Logic Masters Deutschland e.V.

Tourist Quotas

(Published on 3. February 2026, 01:14 by Timpanist)

This puzzle is a combination of Fillomino and Simple Loop. I believe it will be difficult at first, but getting familiar with the rules can help a lot. Thank you for playing!
If you are stuck, I have written a: Complete Guide
  • Fillomino: Divide the grid into regions. Every cell is part of a region, and regions of the same size cannot touch orthogonally. Given numbers must be inside a region of that size.
  • Simple Loop: Construct a single loop that moves orthogonally through the centers of cells and visits every cell in the grid exactly once. It cannot branch or intersect itself.
  • Closed Borders: Each thick edge is a Closed Border. The Simple Loop cannot intersect a Closed Border, and a single Fillomino Region cannot take both of the cells adjacent to a Closed Border.
    Negative Constraint: ALL Closed Borders are given.
  • Tourist Quotas: The Simple Loop crosses each Fillomino region's borders a number of times equal to that Fillomino region's size.
Example Puzzle
(Click images to play)
Penpa+ | SudokuPad

Full Puzzle
(Click the image to play)
Play on Penpa+ | Play on SudokuPad


Thank you again! I am happy to receive feedback!

Solution code: The region sizes of the eight cells along the diagonal, TOP-RIGHT to BOTTOM-LEFT. For example, the example puzzle would be 8688


Solved by TheZwierz, JustinTucker, han233ing, CJK, Grausbert
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Comments

on 26. February 2026, 13:14 by Grausbert
Wundervolles Rätsel!
Ohne große Ahnung ist es schon wirklich schwer, aber die Lösung erklärt super die Gedankengänge. Ich bin wirklich entzückt, danke für das großartige Rätsel!

on 5. February 2026, 22:35 by JustinTucker
Brilliant and elegant

Difficulty:5
Rating:N/A
Solved:5 times
Observed:0 times
ID:000R9Y

Puzzle combination Solving hints Online solving tool Path puzzle Polyominoes

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