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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'...


19

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


17

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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Firstly, we can make the following deductions:


17

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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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 ...


13

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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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.


12

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:


12

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.


11

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


11

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 ...


11

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),...


10

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 ...


10

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


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The solution is: Step 1: Step 2: Step 3: Step 4: Remarks on setting the initial values: Here I explain the thought processes that actually led me to settle on this combination of starting numbers. However, please also read @Retudin's answer as I think they've done a nice job of explaining this part diagrammatically...


9

As someone who has created many puzzles based on combining two different puzzle types, here is one key piece of advice that you may not be hoping to hear... Not all puzzle types can be paired up well in this way. Here are a few issues with attempting to combine slitherlink and nonogram: As you already point out, many nonograms require numbers greater than ...


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With one teensy correction to the final slitherlink (EDIT: Now corrected!), @kristinalustig has already solved this puzzle. However, I thought it would be beneficial to provide something a little more step-by-step to supplement her excellent answer, so that anybody following along and getting stuck would have a resource to guide them through... Notation: ...


7

Solution Technique: Some detailed explanations/examples re the sheep and wolves (as requested by Stiv):


7

@Stiv's answer is excellent, but here's another idea: maybe have solvers work the nonogram first, and then finish with the slitherlink. Here's an example (notional to illustrate concept, please don't judge quality...I generated the slitherlink online): Solving the nonogram first, you will shade a certain number of cells: What remains are the clues to a ...


6

OK too late.. (except that I handled the meta uniqueness)


6

You could give yourself a little bit more wiggleroom if you create the slitherlink on a hexagonal grid. This preserves the neat rows of numbers that can be plugged straight into the next puzzle, while increasing the maximum "run" of any active cells in the nonogram from 3 to 5. Hexagonal slitherlinks are a reasonably common existing form of the ...


4

While @happystar has given the correct solution, I thought it might be helpful to provide one which explains the logic behind the puzzle, since this puzzle type is decidedly more complicated than your standard slitherlink... The most key thing to note throughout is that for sheep to be contained inside the loop there must be an odd number of wall segments ...


4

At the bottom right corner


4

What an interesting and rewarding puzzle. There is indeed a mistake in the puzzle, but one that is easily rectified. It was a bit tedious doing this on paper, I wish there was an app to integrate something like this together. Anyway, the first step is obviously to start solving the sudoku. I will not post every single step, just the key ones that will allow ...


3

Step 1: Step 2: Step 3: Step 4: Step 5: Step 6: Step 7: Step 8: Step 9: Step 10: Step 11: Step 12: Step 13: Step 14/solution:


3

Here is the solution with the "true" slitherlink clues and happy stars representing shaded cells in the nonogram puzzle. To start the puzzle observe that After that, the rest of the solve is relatively straightforward.


2

Okay, I believe I have a solution. Resolving the sudoku and suko puzzles produces this grid: To understand how to solve a suko puzzle, here is an example using the one level with the top row of the sudoku. The aim is to use the numbers 1-9 once each to fill the 9 spaces so that the sum of each sub-square of 4 digits equals the number they surround, while ...


2

Krazydad's puzzles are computer-generated, so there isn't necessarily a "nice" human-doable path through them. (In my experience, there hasn't been a puzzle without a reasonable path through it, but I've only done a couple dozen of them at most.) There is a nice way to make progress here, though: take a look at the 1 closest to the bottom right ...


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