Takeya Saikachi presents us with a new loop genre in which you need to discover the rules by solving the example first.

PDF

or solve online (using our beta test of Penpa-Edit tools in default linex mode where left-click+drag draws line and right click marks X’s)

Theme: Triplets

Author/Opus: This is the 40th puzzle from our contributing puzzlemaster Takeya Saikachi.

Rules: To solve the main puzzle, you must first discover the genre’s rules by solving the example puzzle.

Example: solve online

Difficulty: 3.5 stars

Time Standards (highlight to view): Grandmaster = 4:35, Master = 7:15, Expert = 14:30

Hints: 1. This is a loop puzzle style that involves visiting all cells, forming a single closed loop. But what do the number clues do?
2. When thinking the right way, each number clue will have two uses.
3. Looking at individual clues may not be enough.
4. Pair all the clues together (as passed through by the loop) and consider any special properties you find.
5. This puzzle draws inspiration from a region division puzzle with a four-letter name (rot13 = NENS) that also pairs clues together.

Solution: PDF and solving animation.

Note: Follow this link for other Loop/Path puzzles.

Note 2: Comments on the blog are great! For a more interactive discussion, please also consider using our week-0-discussion thread on the GMPuzzles Discord. If you are not yet part of this Discord community, use this link.