A new instruction!
And another instruction:
Yet another instruction...
The Next Puzzle
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'...
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 ...
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
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 ***
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:
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 ...
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 ...
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:
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).
Following directly from that,
Now that the top left is resolved,
Now we move to the top right:
Finally, we've reached the bottom!
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 ...
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),...
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...
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 ...