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
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Comments

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

Difficulty:5
Rating:N/A
Solved:3 times
Observed:0 times
ID:000R9Y

Puzzle combination Solving hints Online solving tool Path puzzle Polyominoes

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