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This puzzle is part of the Monthly Topic Challenge #13: Variety Slitherlinks.

This is a Slitherlink-Yajilin hybrid. Shade some cells in the grid and draw one non-crossing, non-branching line connecting centres of cells horizontally and vertically, so that the final configuration satisfies the rules of both puzzle types.

Rules of Slitherlink:

  • Blue numbers are Slitherlink clues. Each clue indicates how many of the four possible line segments surrounding the number are used for the loop.

Rules of Yajilin:

  • Black numbers with grey background are Yajilin clues. The clue indicates how many shaded cells are in the direction of the arrow.
  • Two shaded cells cannot share an edge, but they can touch at a corner. Shaded cells can touch clue cells.
  • The loop must visit every empty cell in the grid (i.e. every cell that's not shaded and not a clue).

Solve on Penpa+

Empty Slither-Yajilink grid

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  • $\begingroup$ Thank you for the puzzle, that was quite fun! I don't know what the convention is here, in terms of what counts as an 'answer', since the solution is already posted. $\endgroup$
    – Glenn Willen
    Commented Aug 30, 2023 at 6:16
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    $\begingroup$ @GlennWillen Glad to hear it! We don't generally add a new answer unless it has something significant to add to the existing ones. $\endgroup$
    – Jafe
    Commented Aug 30, 2023 at 8:58

1 Answer 1

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The solution is here. Nice puzzle!

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Intermediate steps:

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