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I got stuck on this level (Honeycomb/Large/Hard/#12) and I always end up having issues with the part that I circled with red because it either wouldn't add up or there would be a space that's not connected, and I've tried different solutions as well. How I could solve that part or what's wrong with my solution so far? I don't really need a solution for the whole puzzle just for around the circled part.

It's an android app by Ejelta

enter image description here

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First, let's label some edges:
enter image description here

  • One of A and B must be an edge to continue the known loop (and the other is space). So F must be edge to have enough edges around the 4.
  • One of B and C must be an edge to complete the 4, so E must be an edge to continue the loop.
  • That gives us four known edges around the leftmost 4 (E, two for F, and one of A,B), so D must be a space.
  • And that means that both G and A must be edges to have enough around the upper 4.
  • So B is a space, and C is an edge.

    That gets us to here:
    enter image description here

  • Zooming out and continuing with basic logic gets us to:
    enter image description here
    And as that has completed all the edges in the circled area without any contradictions so I'll stop there.

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    • $\begingroup$ Nicely done. The 'basic knowledge deductions' can be formalized as topology with restrictions implied by knowing that in the end there is only a single connected string. $\endgroup$
      – quarague
      Oct 19, 2023 at 7:33

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