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Heyawake Nurimaze Nonogram Slitherlink A new instruction! And another instruction: Yet another instruction... The Next Puzzle And finally... Somehow I don't think this puzzle genre will become popular enough to need a name besides "that one huge mashup". But, since I have the opportunity (and have been prompted to use it a few times, here'...


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The solved grid looks like this: The instructions assume a familiarity with solving normal Sliterlink puzzles. A dot next to a number means the clue is correct, a plus means the correct clue is higher, a minus means the correct clue is lower. We start in the bottom left corner because a 0 and 3 can not be next to each other on the edge of the grid. This ...


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Gareth McCaughan got the answer first and got his answer accepted (upvote him too!), but I will be the one to supply the deductions: Chapter I. The Basic Deductions Chapter II. Expansion from the Top Right Chapter III. Invigoration of the Bottom Right Chapter IV. Continued Extension Chapter V (Finale). Encounter with the Twos and Completion of the Loop


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This took me several hours. I did have other things to do today, but ah well, this was much more fun. Thanks for the wonderful puzzles. :) And the three puzzles: *** Detailed Solution *** Nonogram: Nurikabe: Kakurasu: Nonogram: Nurikabe: Kakurasu: Slitherlink clues: Final nonogram: Final Nurikabe: Final Kakurasu:


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Here are some tips for working on 3's in Slitherlink: And with some basic deductions (all lines must be connected in a single loop), here is the solution:


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Firstly, we can make the following deductions:


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The misunderstanding: The solution:


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I looked at other people's answers for the first four grids, and got the solutions from those. However, here's what I think the fifth grid is (minor spoilers for the other four grids): It has a unique solution:


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We can actually get pretty far using simple deductions, and for this reason I will not be detailing them. (I missed a few other deductions once again-- I only noticed them near the end of solving.) This was a bit easier than the earlier slitherlink posed by OP, so I was slightly more uncertain about what parts and pictures of my solving process should be ...


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The solution is (drumroll please...) Explanation: We start by Next, And here's the coup de grâce:


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Gladys is at The gray numbers Completed grid: Additionally, the answer is confirmed by


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Solved Slitherlink: Now, getting the question from the solved grid: We get the question, which is: Thematically, the answer is that:


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As in many grid-deduction puzzles (and for that matter well-posed logical deduction puzzles of all kinds), you can usually deduce the solution by pure logic from the given initial conditions. The fact that you can deduce it shows that it's unique, otherwise you'd find more than one possibility. If such a puzzle doesn't have a unique solution, then it's ...


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I've found four slitherlink solutions, but I'm not certain how to construct the fifth...


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I believe this is the intended solution. (Black lines are part of the loop, while red lines were deduced not to be.) Here's how I did it (I got lucky because of the assumptions I did):


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First of all: For the second step: And for the third: Now that that's done, the puzzle can be solved with relatively straightforward Slitherlink logic. The solution is below.


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With just Nurikabe logic, we can get this far: Now it's time to switch to the Slitherlink: Switching back to the Nurikabe, And this gives us more information for the Slitherlink: And now we have enough to finish off both halves of the puzzle:


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The completed grid: (The little grey marks were just for bookkeeping.) I'm afraid I didn't keep a detailed record of the solution path.


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I think I have got the Answer to all 5:-


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The minimum number of twos that need to be removed is: Explanation: Here are two examples that will work with the constraints given: As for the rules as to where the twos will be removed from:


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In this answer, I use "RxCy" for the cell in the x-th row (from the top) and the y-th column (from the left). First: Second: Following directly from that, And then: Now that the top left is resolved, Now we move to the top right: Finally, we've reached the bottom! And finally: The solution:


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Pipped to the post by @Deusovi while writing up (who'd have thought it?!) but my solution agreed with his entirely. Instead of merely replicating what he has already written, this answer focuses on my step-by-step logic for the slitherlink solution (at his suggestion). If you upvote this answer, go see his answer below as well and upvote it! Assigning the ...


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Okay, so I solved the whole puzzle :) I will use this specific puzzle to showcase several interesting deductions. Each picture will show one deduction I consider non-trivial, and in between pictures I will make trivial deductions. In this post, "trivial" deductions are: if a cell has all its borders spoken for (e.g. a 1 that has one border shaded),...


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Completed slitherlink Their favourite person Slightly convoluted reasoning


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Solution:


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I will be using the Penpa editor: here's a link to the puzzle, if you want to solve along. (For nice input, go to "composite" and choose "loop".) To start, some basic Masyu deductions: Some of the Slitherlink clues help make progress in a few different places: 1 clues help us out: Finishing off some corners: And now, that last white ...


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Step 1: Step 2: Step 3: Step 4: Step 5:


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The solved grid looks like this: Path to solution Bonus question:


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