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22

The symbols '| — S S' could be a visual representation of the word: Since:


19

Take the descriptions of the bottles, So, to follow that new instruction: A list of all of the other messages in the puzzle, useful or not: The bottles: Following the first instruction from the bottles: Following the second instruction from the bottles: The symbols: The beverage descriptions:


15

The next flag in the sequence is: Why? For starters, note that the other flags belong to: Next: These derived numbers are: For the next term in the sequence, we are therefore looking for:


12

(I'm continuing the work of others here, especially that of Paul.) I think the treasure is ... How to find it: The final instruction:


11

How about this:


10

I believe the answer is Because


10

The six hint are highlighted in this image: First hint: Second hint: Third hint: Fourth hint - solved by @Jens Fifth hint: - solved by @Jens Sixth hint: The final solution and the logic grid is the following:


9

Because


9

Is it here? (in the blue box) The picture below is used to explain my reasoning: From the letter: The best you can do in the swamps of sorrows is that you place the eastern trading post to your north . . . This quote suggests It can then be seen that In a similar manner, In conclusion, Oh, and for the third hint:


6

The completed map: Method:


6

I've solved the fifth hint, but it's a bit long for a comment: One viable solution to the logic grid occurs if we guess that EDIT The last comment above is wrong. There is only one solution. I leave it to you, @Annosz. :)


6

I think the missing tile should be: Reason: Reason Update:


4

The colors can be decoded


4

Solution: Why?


4

Partial answer and red herring to follow on Omega Krypton's work: If you the resulting message is And here's an image (I washed out the original image a bit, there's a lot of color going on.


4

Disclaimer Not sure if this answer should be here, asking in meta. Please comment before downvoting. Thank you for your cooperation Some false paths and breakthroughs: Azul can be either or


4

For the last one: For the second one: The link provided by @Duck in the comments gives the answer to the first problem, so all three problems should now be answered.


3

PARTIAL ANSWER First off, this is a great puzzle. I really liked spending time on it. I think it's best to start this problem by finding all possibilities. I also abbreviated each business name. Next up is all conditionals. Give me a bit to continue this. I want to make sure everything I've written is correct.


3

Each node has 4 edges, so is visited twice. We start and end on node A, but it must be visited some time in between as well. Let's split this up into cases depending on how many other nodes are visited before we come back to A the first time. This gives a total of: More explicitly, the routes are:


2



2

I think they are:


2

Failed attempt.


1

From @Retro's work Rule 9 gives From Retro Therefore


1

I've come up with a rule per row which describes all the patterns first except one.


1

@Conifers has correctly determined the missing tile with some rules a bit different from my intended ones but still got it uniquely determined so I'm giving him a checkmark. This is the intended answer, :D Observe that, for each tile: The properties are: For the first tile: Notice that: And we can have the following as the answer for it (above spoiler): ...


1

I think the answer is


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