Post by m3psi in Subgrid comments

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Wohoo! Finally got it. Fantastic game!

Note: 6-3 is the last level, there's nothing after it. Spoilers, hint and solution, below.

SPOILERS:

HINT: The key is 5-2. You want to get two "passthrough" paths in a right angle to each other, each that goes from one end to the opposite end, with the third path being at an "inner" right angle to the cross made by those two other paths. This, together with the straightforward "corners" solution to 5-1, will give you a lot of flexibility in making paths on the level 6 stages, but also making paths that are easy to keep track of. 5-3 has at least two solutions I found; but, if 5-2 is done appropriately, then neither of those 5-3 solutions are needed for 6-3.

SOLUTION:

Orasund1 year ago(+1)

Nice. Only ever finished the game twice sofar, so I know that feeling ;)

But if you want more challenges: this isn't the only solution. In fact, each puzzle in level 6 has 6 possible solutions (even more if you count the various solutions that you can make in level 5). Also, Level 4-2 has a second (non obvious) solution that makes Level 5 and 6 especially hard.

m3psi1 year ago

I did find that solution for 4-2 when going as far back as possible to get to 6-3, but after trying to use that solution just for 5-1, I thought, "wow, this is useless, let me go back and use the normal solution." But it is actually possible to solve everything in 5 and 6 with that??

I was happy to just get the straightforward solution for 6-3, without having to keep all the contingent paths in my head… but I guess that's what makes the challenge!

Can you confirm, what the first stage with multiple solutions is? Does everything before 4-2 only have one solution? (4-2 is the first stage where I found more than one)

Orasund1 year ago

Level 3-1 is technically the first stage with multiple solutions, but it does not affect the next level. Level 4-2 is the first stage which really changes things.

m3psi1 year ago

oh yes I did see that trivial alternative for 3-1, I meant nontrivial multiple solutions, but you got that :). Thank you for confirming!

Out of curiosity, do you have a backend system for verifying solvability and solutions? If so, is it brute force, or something more elegant, even heuristics that cut down on the size of the possible solution space?

Orasund1 year ago

I do not have an automated solution. I do however have a couple of theories that checkout:
I know that in order to get a solution with crossed lines, you need at lest one tile with crossed lines.
I also know that a set of tiles can solve any puzzle if every line can reach every position (assuming the size of the puzzle is big enough). That's also why I slowly increase the puzzle size as the puzzles get more complicated.

itch.io

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