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or solve online (using our beta test of Penpa-Edit tools; use tab to alternate between a composite mode for line/edge drawing and a shading mode.)

Theme: Infinity!

Author/Opus: This is the 51st puzzle from our contributing puzzlemaster Serkan Yürekli.

Rules: Divide the grid into some regions formed of edge-adjacent squares. Each cell is part of one region, and each region should contain exactly two given numbers. Each region must have an area that is strictly between those numbers (This means, for two number clues A and B with A < B, the area C fulfills A < C < B).

Answer String: Enter the number of cells in each connected group (between bold lines) in the marked rows. If a group is a multi-digit number, enter all digits of that number. For the example above, the entry is “34,121111,4111”.

Time Standards (highlight to view): Grandmaster = 8:00, Master = 15:00, Expert = 30:00

Solution: PDF

Note: Araf is a relatively new puzzle for us on GMPuzzles. Follow this link for other Araf.