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This is a Yajisan-Kazusan puzzle.

Rules of Yajisan-Kazusan:

Several numbered arrows are given in the grid. Shade some cells so that:

  • no two shaded cells are adjacent
  • unshaded cells form a single, orthogonally connected group
  • all unshaded clues count the number of shaded cells in the direction their arrows point. (Shaded clues may be true or false; they provide no information.)

Example (from GMPuzzles):

enter image description here

...However, this puzzle has diagonal arrows. And not only that, diagonal arrows positioned within the cells. Arrows that point to a vertex will only point to a single diagonal line of cells; arrows that point to an edge will alternate back and forth between two diagonal lines of cells.

For instance, the [0↗] clue in row 3 points to only two cells: the fourth cell in row 2, and the fifth cell in row 1. But the [1↘] clue in row 2 points to five cells: the third and second from the right of row 3, the last two of row 4, and the [4↙] clue in row 5.

enter image description here

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  • $\begingroup$ Does adjacency now mean diagonally adjacent only? $\endgroup$ – JMP Jul 29 at 16:35
  • $\begingroup$ @JonMarkPerry No, adjacency still means orthogonally adjacent only. Diagonally adjacent shaded cells are allowed; orthogonally adjacent cells are not allowed. $\endgroup$ – Deusovi Jul 29 at 16:38
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Provided I haven't made any mistakes, here is the solution

enter image description here

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  • $\begingroup$ Yep, that's correct! $\endgroup$ – Deusovi Jul 29 at 23:36

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