Puzzle solving requires systematic logical deduction where regions must satisfy area difference constraints, meaning adjacent regions must have specific numerical relationships (e.g., a region of size 5 must connect to regions of size 3 or 7, since 5-2=3 and 5+2=7). The key strategy involves identifying constraints, eliminating impossible configurations, and using mathematical relationships to progressively determine valid region placements. This methodical approach transforms complex puzzles into solvable problems by breaking them down into logical steps.
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Some Of the Best Puzzle Solutions I've Seen So Far in GlimmithAñadido:
Hello everybody. Welcome back to the Artisan of Glyth. 743 is our solve count. And I believe we are ready to go to new regions or something cuz we've done gold here and gold here and gold here. So we had loopy. There cannot be a point where exactly three borders meet. So this is anti-bricky.
I think we can kind of consider this which is interesting.
There was nothing there and there's difference indicates the difference between the areas of regions.
So this is a one.
This has to be a two. This has to be a three.
This is a two. And then that one goes on the end.
All right, we'll start here cuz at the very least, I hope I can count.
So, this has to be a four, which means this has to be a five, and that has to be a three. Okay, counting. It's working so far.
All right. You match you exactly.
Um, can this do this?
Two. Three.
Two. It could do that. I'm not saying that it does, but No, it can't. Okay. Yeah, cuz of course it can't. We're learning. It's fine. Um, so this is a two. 1 2 3 1 2 3 4.
No, this can exist. I just had the math wrong.
So, you have to be at least a two. So, this can't exist cuz then we've got two different things on different sides.
Right. Reset me cuz that's probably not how that's resolving, but I just wanted to check that as a possibility.
Um, this is going to be one bigger than this, which means that's going to be a two.
But that can't exist. How can that be true?
Well, that could be that and a two cuz then this is one. This is two. This is the same. This is also two.
Then that's two.
And this would have to be a three.
It' have to go that way.
No, it still has to be a four.
One 1 2 3 1 1 2 3 4 Okay, this was uh a little tricky over here.
Right, let's get the pen out.
Now, this is a five, which means this has to be part of a four or a six.
And this has to be part of that five, which that can't be because that line can't cross over. This has to be part of a three or a seven.
This can't come to here, I believe, because that would make this have to be part of a uh a different three or a seven, but that's blocked in by that.
So that means this line must exist.
And that's how the five is going to occur.
That means this 4 six is going to be 1 2 3 4. Can't be six. So it's going to be a four. That makes you a one with a four growing out of you.
Two difference from a four. uh two difference from a four is going to be a two or a six.
Um this is one difference from a five. So this is going to be a six.
So that makes this a six. Are you tired of me talking the numbers over and over again? That's going to have to do that.
And four, five, six, three, and one.
All right. There might be a lot of talking to get there, but we are getting there.
This four is going to be matched by a two or a six.
It can't be the six because the six can't exist there.
So this is this is a two and it looks like that.
Then this has to be part of a five.
I wish instead of difference It was called plus or minus because the language of plus or minus instead of difference just works in my brain because it's three. It's two plus or minus three. Well, we can't do minus three. So, it's just five. And then this is going to be a five, which means this four is probably this, but it could be that.
But this five has to come out. This five has to come out.
Um 5 plus or minus 2 is three. Yes, there's that. Just some light sight reading there.
Okay, these are all at least part of the four.
That makes this 4 plus or minus one is a 35.
and makes this a 35.
And if we look at this two, then one of them is a three and one of them is a five. We just have to try and figure out which one that might be.
Well, if this was the three, this could be a two or a four.
Where's the logic going to be?
Well, if this was the if this was the four, then this would also be a three or a five. And we can't count three, five across a one.
So I believe that makes that the four.
So that's a one which makes that a two.
Two then grows this to a three cuz 2 + 1 is three.
That makes this the five.
And we go 5 3 1.
Oh, that looks like a lot of fun.
Well, obviously no, the the thing that I was about to say is definitely not the thing at all.
I was looking at this four and going, "Okay, well, it can't be a five like this cuz of the rule, so that must be a four." But that's not how that goes at all.
Um, it's counting upwards in sizes and this is different by four, plus or minus four.
But the largest a piece can be would be this, which is four, cuz it can't do that.
So, none of that can work unless we're going to have to start with something like this.
That's five.
That's three.
Then that would have to be six or zero.
How do we do this? What am I missing?
This is a mirror image of this.
We can't do four and two.
We can do three and two with one like that.
Then two and two is four.
Four and three is one. 1 and four would be five.
But we can use small numbers in the middle which I kind of hadn't internalized.
So what is the any way that we can make four work here?
Cuz like five - 4 is 1 and 5 - 3 is 2.
2 + 2 is 4.
4 - 1 is three. That's the same. 3 - 1 is two.
And we have to put a little block on the end. Okay.
It's interesting if we Oh, we've un opened up the uh the realm. That's why there's one down here. We just look at some of these puzzles. There's like the one odd one not in there.
That's has lots of singles.
That had one odd one.
Not in there. That had an odd single one. That had an odd single one. I don't know if that's just a quirk or just a coincidence.
We need eight more to restore the window.
All right. Well, let's do this. has to be part of a two.
1 plus 1 is 2. 1 + 1 is 2. 1 + 2 is three.
So that's going to have to go like that.
Um then this is 1 + 2 is 3 and 2 + 2 is 4.
3 - 1 is 2. 3 + 2 is 5. 5 - 2 is not.
Wait, 3 - 2 could be 1.
2 - 1 is 1. 2 + 2 is four. And that's the odd one.
Okay.
There's these two on their loans some up here.
Sure.
Shape bank.
Okay.
Well, which side of these lines do we have to start on?
Well, okay. What we know is Whatever we have, if this is a 1, 1 + 2 is going to be three. Our only three is going to be this or this.
If this is two, 2 + 2 is four, which is this.
And that would also be valid. Um, 1 + 3 is 4.
2 + 3 is five. We can't make five.
So 1 plus 3 is four. Lock those in.
That then gives us kind of a matter of limited geography on the rest of our solve.
If this is one, this is three.
If this is two, this is four. And it doesn't fit. So lock those in.
Then this can be two and four. One and one and one. Nice.
Oh boy. It's only a three. Just looks really big.
But we have a shape bank of 2, three, and four.
So we should be able to shape bank this out reasonably easily. This zero has to be that because we can't fit any other shapes on both sides of that line.
A two plus or minus one is a three and only a three, which would have to be this, which means that also has to be this.
Um, that could be that or that.
And I can't tell which right now.
Let's come down here.
This is a two.
3 plus or minus two is one or five, which we don't have. So, that goes to there. 2 + 2 is four.
So, we have to get four into here.
That obviously fits nicely.
But this or this would also be possible.
Except this can't do that.
This would then go one, which doesn't exist. Okay.
So, we'll stick that in like that.
Then, that's going to be a two and probably a two cuz it can't be a four cuz the zero can't span a four.
Um to fill out this gap would have to be two here and then we need a four but four and one makes three. Uh four and one can make three. That is allowed.
Then one on either side of these has to be a two and a three or a three and a four. There's a two.
Two and four and three and two and two.
Lovely.
I've said all of the numbers so many times it feels like they aren't words anymore. A one and a two and a two and a four and a two and a one and a one and a two.
Four. Five. 3 4 7.
So somewhere if this is a seven, we have to have a one and an eight in one of the two configurations. Either that or this.
8 - 3 is five, which doesn't fit there. So, I think it's going to be this.
8 - 5 is 3.
8 - 4 is four.
Can this work?
4 plus or - 3 is 1 or 7. 1 + 4 is five. There you go.
Okay, getting it.
It goes on for ages, doesn't it? There's one hiding back there. It's available.
I'm not doing that right now.
We'll get there slowly as we work our way across the map.
Okay. Regions of range 24. All regions must have different shapes and difference.
All regions must have different shapes, which means we're basically just working with two.
Uh, let's do we're working with two 3 4.
Is there another four without flipping or rotating that? I'm forgetting.
Oh.
4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 24 + 4 makes 28. Okay.
Interesting. Now, what do we know about this? We're going to have something going on here and then a plus one of it here or a minus one and a plus one or one of it there. But then we also have to have two copies of it. If we're going to have two copies of something, then what goes inside this box has to be a four.
Because if it were a three, we can't have two different threes and have mismatch be accounted for. So that tells us how we start by sticking a four in there.
Then this is 4 plus or minus one is three, which is going to have to be that. And four plus or minus 1 is three, which would have to be this, which means that's a four.
So we can go uh we've used this three and this three, this four and this four.
Now we just have to get a two and the remaining other pieces in here.
Um, that can't do that and leave one.
Can't be that cuz that's the same.
So I think this might have to be the two because there's no other piece we have that can fill this gap.
which was that there, that there, and the long piece. Lovely.
What a lovely puzzle.
Okay, there's less going on over here.
Gosh, are six open to us already?
How about no range? 3 to five, difference of two.
This is 12.
How can we make 12 with a number and two numbers of two different than that?
Five and three and three makes 11.
Four and six and six is too much.
How do we do how do I math this math?
range of three or five.
We do three here, five there, and then this can be a four.
It was the sharing that I wasn't considering in my initial assessment.
range of threes and fours, but so many shared corners is intriguing.
Like whatever this is, we get our notes here. If we think about polarity, if this is an A, this has to be a B. This has to be a B.
This has to be an A.
The A, however big it might be, has to go A a A at least because we're working with threes to fours.
Um, that means this B is going to have to come up to at least here.
And that B is going to have to cross over to be an A. And up here, this is going to have to be an A. And then that's going to have to be a B.
Um, this B is going to have to come out to here and at least there if it's going to be at least three.
Uh, if this is a a that's going to have to go to a to get out to be at least three, which means this is a b, which means this can't be an A cuz it would be on its own.
So, this has to be a B. But if it's threes or fours, it's going to have to be at least a second version of it. So, 1 2 3 4 5 six would be two threes. Or it might be bigger than this.
Um, this is BB. That's going to have to be a B at least to make that at least three big. And then I'm starting to think that this might be that's going to be three, which means that's four. That's three. That's four.
Then that's three.
We got there just from the polarity of the all the ones that we had.
I don't know if it's just because either we're working with the easier end of the puzzles or my brain is jelling with the concept very well or if these are just some particularly good puzzles. But I feel like this area has been some of the best puzzles in the game so far for like how you go about solving them and some of the best puzzle solving I've done in how I go about executing the solutions with the knowledge that I have.
Right. Two to five is quite a range, but we have three 3.
So if this is X, X has to be at least a range of two, which means this has to be at least a range of three cuz this can't be on its own.
So this is at least three.
Um 3 - 2 is one, which can't exist.
So it would be 3 + 2 could be five.
But if this were four, then 4 - 2 could be three.
Or 5 - 2 could be four, which ultimately is not terribly helpful.
Um, but whatever this is, this has to equal X.
Now, this pattern of three X's in a confined space has to exist over here as well because we can't have something cut off and leave a one.
So we know this must be at least three and 3 + 3 is six which can't be. So this must be at least four and four minus 3 can't exist.
So this has to be a five.
Let me just check that in my head again.
We know that these must exist together.
This is three. 3 and 3 is six. Can't exist.
That makes that have to be true.
Four and three is seven or one, which doesn't exist.
That can't go to there. That can't go to there. So, that's going to come out.
That's X. Oh.
So, that must exist like this. Which means if that's five and we've locked that in, this must be four. Four, four, and four because they can't share a border wall.
Uh, this could be five or three.
This could be five or three.
Three and three can't make six.
So this has to be I was going to say 5 - 3 making two, but I can't have a two to two making a I can hold on.
This was four.
4 - 2 is 2. Get rid of these cuz they're confusing me.
Um, 2 + 3 is 5.
4 and 0 is four. 5 and 3 is two.
Nice.
And that is our difference window created almost exactly on the half hour mark. So, I'm going to quit while I'm ahead here before my brain goes into complete meltdown. But I really enjoyed these. These were really well together, well put together puzzles, and I look forward to seeing how they integrate with more mechanics next time. For now, thank you very much for watching. Hit that like button, subscribe for more, and I'll see you in the next one.
Cheers.
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