A masterclass in spatial logic that turns a simple grid into a sophisticated game of perspective. It is the perfect intellectual stimulant for those who find standard Sudoku too one-dimensional.
Deep Dive
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Deep Dive
Sudoku Adventure #1170 - "Skyline" by RiffclownHinzugefügt:
Hello, let's continue our Sudoku adventure with Skyline by RiffClown. So, this continues our dynamic fog theme week. So, all the puzzles will have fog.
That means that in this case, this puzzle is fully fogged. So, we have no idea what could be behind our fog until it gets revealed. And as we get correct digits, the setter has determined whether that does or does not reveal any cells they would like. So, the fog will randomly reveal uh not randomly, as the setter determined. The fog will reveal as you get correct digits. And so, the point is still to do logical deductions there and not just try like spam digits in various places. If you're going to do that, just you know, just don't bother solving it cuz there's no fun there. Anyway, uh let's go over the rules. We have normal 6 by 6 Sudoku rules. So, in each row, each column, and each 2 by 3 box, we are placing the digits 1 to 6 exactly once each.
Now, there's going to be some marked diagonals in this grid, at least one, where we're also placing the digits 1 to 6 exactly once each. And our choices are either this diagonal, this diagonal here, this diagonal here, or both. But until the fog reveals whether they're marked or not, we will not know whether that is the case for those diagonals.
In addition to that, we have a single skyscraper outside the grid.
What this does is it's uh it it is the number of skyscrapers you see from that vantage point, where the digit in the cell is the um sorry, is the uh height of that skyscraper. So, six means we need to see all six of these.
Um I'll give an example for non-six because I'm trying very hard not to give away the start of this puzzle, but it's kind of hard not to. But anyway, um let's say let's just give an example.
Let's say this was 3 5 2 4 6 1.
The question is, what would the count be?
And I'm using small digits on purpose cuz if I accidentally get something right, uh we don't want to reveal some fog in the rules explanation. All right.
So, we would see we always see the one right in front of us. So, we're standing here, we're always going to see a building right in our face.
Now, so we see the three. Now, we are going to see the five because it's bigger than all of the buildings before it. The whole point is basically it's counting how many digits there are that are larger than all of the digits previous to it. It's another way to think about that. But yeah, we see the building that's five high. We do not see the two because it's blocked by both the three and the five. We don't see the four cuz it's blocked by the five. We always see the six, no matter what, cuz it's the tallest building. And then we don't see the one because it's hidden by the three, the five, the two, the four, and the six. So, anyway, it don't always be hidden by one of them, but it's hidden by all of them.
So, that counts three greens. This would be a three clue, not a six clue in this case.
And that's it. Those are the rules.
There's a link in the description if you'd like to try the puzzle yourself.
And I'm going to get started right now.
All right. So, this six, I mean, the only way to do it is just to do 1 to 6 in order. 1 2 3 4 5 6. Now, we see that we actually do have both diagonals. So, this diagonal has 1 to 6, this diagonal has 1 to 6.
Right. So, we know this is going to be 4 5 6. That's not a five. This is going to be 1 2 3.
Now, what does this five tell us? It tells us there's a five in one of these two. Now, we probably have to use our diagonal in some way cuz I'm not sure what else there is.
Like this is just a Sudoku X puzzle at this point.
Is that true?
Oh, but we'll get givens revealed as we figure stuff out. That's interesting. I meant this to be corner marked.
Um So, we revealed this five. We get five in one of these two.
That means five's not here. Five's in one of these two.
Okay. So, on this diagonal, we need a five. It's going to be here or here.
Everywhere else sees a five.
So, you'll notice that this cell and this cell, so let me mark that in green.
Five's going to be in one of these two greens.
This cell cannot be a five cuz it would remove a five from this and from this.
Or rather, wherever the five here is, it'll eliminate this one. So, that's not a five. And that actually forces the five to be here.
Okay.
And so, now these two fives look down, putting a five in one of these two. But it can't be on the diagonal. So, it's going to be here.
Um five's in one of these two.
So, what's next?
Does it have to do with five on this diagonal then?
Yeah, five on this diagonal can only go right here.
Okay. And that places that five. And now we get a two given. Very nice.
So, maybe it has to do with two on this diagonal. Yes, two on this diagonal can only go here.
And then what about the other diagonal?
Not here, not here, here, or here.
I guess we do have this two looks up, this two looks in. Two's in one of these two.
And then two looks in. Uh two is placed in this box. And so, now on this diagonal, the only place for two is right here.
So, that's not a two. That places that two.
Six looks up, putting a six in one of these two, and a six somewhere down here.
Um These two are the same digit.
So, this diagonal oh it has a three in it. So, that's one, that's three.
I was going to say what are the remaining digits. We need a four and six.
So, that's a four-six pair.
That's a four-six pair. So, this is the one and three that remain.
And in fact, for this diagonal, we need 1 3 6. That can't be one. That can't be six. So, actually, the six can only go here on the diagonal, giving us the four and the six and this six and this four.
All right.
These two digits are a one and three.
So, that's one, that's three.
That's a three.
That's one cuz the diagonal. We just placed a three on it. That's three.
This is a four. This is a one.
And then here we need 3 4 6. So, this can't be three or six. So, that's four, that's six, that's three.
We get the six here. We're down to the four and the one, and we're done.
All right. Cool puzzle, RiffClown. I think he just wanted to seed the 1 to 6 here, but um you know, there are a lot of ways to do that, but I think it was funny to do it with a skyscraper cuz the skyscraper is the only, you know, outside the grid stuff is visible even if the whole grid is fogged.
All right. Cool. Uh that was a neat idea. And actually, with a given 1 to 6 here, I guess you only need the two here and the five here as givens, and that finishes the whole puzzle.
That's interesting uh find from RiffClown.
All right. Well, let me know how you did, and if you enjoyed this one, leave a like, subscribe, and a kind comment below.
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