Martha’s systematic approach turns a chaotic set of constraints into a masterclass in logical elegance. It is a deeply satisfying display of high-level cognitive precision.
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Deep Dive
what an incredible palindrome sudoku from billybeth!Added:
[music] [music] Hey friends, welcome to my sudoku kitchen aka my kitchen where I solve sudoku's. Friends, I must begin this segment with an apology, a deep apology, especially to Billy Beth. Um because if y'all might recall, I had planned to do this on Friday and the video just did not come out. [laughter] Sorry. Whoops.
Sorry. Yeah, there was a whole problem with the with the filming and the stuff and the things. And the worst part cuz that's happened before and we're used to that [laughter] a little bit on the channel. Um, but what didn't happen is that I did not post an apology in advance. So that's so my apology for not letting you all know in advance about what happened. Um, but here we are on this Monday, a dreary Monday on my end, friends, but I'm just going to pretend and say it's a beautiful Monday. [laughter] On this beautiful Monday, we're back with another amazing Billy Beth puzzle.
Now, this is a twostar. This is part of the harder ones that we were supposed to do on Friday. And so, I'm still going to do it. Listen, I cleared out my schedule. It's going to happen. And here we are. We're going to do it. I have here also their recommendation. So, by uh um happy coincidence, they said for either puzzle, cuz remember last week we did crap, what's the name of that one?
[ __ ] I don't even remember. We did it on Wednesday. Oh my gosh. [laughter] Shoot. I'm sorry. Names just names just escaped me. But um we did the last puzzle on Monday on Wednesday when I had uh I had a black tea. By some happy coincidence, they said, "Well, either black tea or uh leak soup.
Leak soup. Friends, listen. If it can be in a mug and I can drink it comfortably without having to like poke about and [ __ ] I call that I call that a beverage." So, here we are with leak soup. leak. I I specifically asked leak and potato soup. They said yes, leak and potato soup. So, thank you, Billy Beth, for for these puzzles that they recommended to me. So, that was the whole thing. Remember last week I said that? Yeah. Okay. Sorry. This has been a bit of a messy intro, but the point is we're continuing the Billy Best stuff. We have the recommended beverage, which is literally leak soup, which I find delightful. And we're going to continue with today's puzzle, which is welcome to the palendrome three. So before we start with the rules, I wanted to say on Thursday I did mention this um um and I was going to say it again on Friday um which is that I have issued a bit of a challenge if anyone wants to um set oh set a puzzle um to celebrate the 400 um subscribers that we're almost at on this channel. Woohoo. So, we've done that a bit in the past where we have where we take where we do celebratory videos um and celebratory puzzles for the hundreds and not Yeah, we'll see.
But I issued this challenge. Um and if you guys deem it a fun thing to do and do it, I thank you very much. If not, all good. Hugs around. Um so, that's that. We're almost at 400. Hi, everybody who's new. Hi. Hello. Um exciting. Um and that's it. That's all I wanted to say. And then let's get on to this Monday. This Monday Monday Friday puzzle. It's Friday puzzle. That's not a Monday. [laughter] Sorry. Okay. Are we ready? Let's get on to the rules of welcome to the palenjo 3 by Billy Bass.
So normal stoka rules are applying.
Thank god. That means we have to place the digits one through nine once each in every column. Every row.
Ah sweet [laughter] sorry. Every row and every 3x3 box. And numbers may not repeat in cages. So these are cages.
These are cages.
This is also another cage. And did sands without without this one. Yeah. Um those are cages. Digits numbers may not repeat within cages. So normally where this for example and this one could be different numbers. In this case um could be the same digit. In this case they cannot be the same digit. Um the gray line is a palendrome which reads the same from either end. What does that mean? It means if this was a nine, that's that's a color. If this was a nine, this is another nine. If this was an eight, then on this side it's eight. We will while we're film while we're while we're filming recording our synonyms, while we're solving, we will have to count how big this palendrome is. We shall see.
But I'm not Yeah, the point is that they read the same from like out in from this way in, we go this way. It's the same numbers.
um sells a chess knight's move apart cannot contain the same digit. So we have a knight's move which is fabulous.
Um what's a knight's move? So whatever digit this is um it cannot be the same as this one, this one, this one. This one, this one, this one, this one and this one. Right? so uh endearingly called tuk tuk boom in this challenge in this channel because it goes um it goes touk to toukboom tokum [laughter] I don't know it stuck I did it one day and then it stuck with me I don't know I don't know what to tell y'all so that's a nice move one of the nine boxes oh my god oh my god the magic square I haven't done a magic square yet on this channel friends I haven't done a palendrome Actually, shoot. Man, Billy Beth are getting or they're going to get me today. [laughter] Today I'm going to be I'm going to be gone by Billy Beth.
[gasps] One of the nine boxes. So, one of these nine boxes. Maybe this one. Maybe this one. And they are a magic square.
One of them is a magic square. Were all the threedigit rows. So, one, two, three, one, two, three, one, two, three.
Um columns. 1 2 3 1 2 3 1 2 3 and diagonals one and two have the same total.
I've I've done a magic square in my early years of solving. I have not done one recently, so I don't remember any of the logic that goes behind it, but we shall see if we do it. Let's let's [ __ ] see. Oh my god. [laughter] Let's [gasps] see. Um, so then we have cell separated by black dot ratio 1 to2.
um uh which means that one is double the other. So if this was a one, this could be a two. If this was a two, this could also be a four. Um we have many options.
And then the white dots, cells separated by a white dot are consecutive. Not all dots are given. Um so that means that whatever this is, it has to be consecutive with this one. So if a one is consecutive with a two only, but a two is consecutive with a one and a three, one is larger than the other, right? As in not the number one. Um, [clears throat] one of these has to be bigger than the other one by one. We'll see. [gasps] Yeah, it doesn't. There's no order to it. And after that very confusing introduction, y'all, I'm not going to lie. I've been feeling really weird lately, but it's fine. [laughter] After that long introduction with the numbers, we can finally get to solving.
Now, let's see how this goes. I It's a coloring puzzle, so we're going to have fun. I mean, obviously, it's going to be a coloring puzzle because there are no digits, but we shall see how it goes.
Let's have a sip before we start on this channel. We like to pair our sudoku with beverages because we like to enjoy every ounce of joy that life and sudoku bring us, and beverages help us do that. So, let's take a sip.
It's extremely comforting to have a soup in your mug. [laughter] It's extremely comforting. I'm quite thankful for this recommendation.
All right. Are you ready? Let's do some chill solving, y'all. It's going to take We're going to take our time here. Let's do it. Are you ready? 3 2 1. Let's [ __ ] go. [snorts] So, [sighs] what I see in front of me, friends, is a puzzle that requires coloring. I see in front of me a puzzle with potential.
[laughter] I see in front of me I see in front of me a good time. Let's see how it goes.
Um, let me just check my mic cuz that's what happened last time. time. Let's see.
Um, so whatever this is, this is and we cannot be repeating in cages etc. How let's count the palum friends. So, 1 2 3 4 5 6 7 8 9 12 13 14 16 17 18 19 20 21 22 23 24 256 27 28 29 30 31 32 33 34 35 36 37 38 38 / 2 is 15 + 4 which is 19.
which means there's 19 on one side of the palrobe and 19 on the other. So let's make a little line to to to to indicate where that is. So 1 2 3 [sighs] 8 9 10 11 12 13 14 15 16 17 18 19. So the line is in between these two digits.
So let's draw that little line like this. There we go. [snorts] And then that separates the palindrome into this is one and then this is a mirror of the other. Right? So it goes this way. Let's investigate friends where different digits can and can't go.
Right? So let's look at this one. These two right are the same. So let's color them [snorts] like this. Let's do that. And then let's investigate where they are. And so, okay, let's real quick, we know something about these cages. We know that these cages are nine cells long because they're 3x3's, right?
If they're 3x3's and they're nine cages long. Oh, it's raining. See, I told y'all it's dreary. Oh my god, it is quite a dreary day. I'm going to put my feet up. I'm going to put my feet up.
[laughter] Oh man. Oh, maybe I'll do a face mask later. Oh my god. [laughter] Okay. Sorry. I needed some comfort today. Um, we know that digits don't repeat in this in this cage. That's my point. We have the digits 1 through nine here. And they don't repeat the same with this one and this one and this one.
This one I'm assuming is also 9. 2 3 4 5 6 7 8 9. Yeah. So this is nine digits.
[snorts] Meaning we have the digits 1 through nine in here. We have to have each of them and they don't repeat, right? So this is the maximum size of any cage because you know in cages digits don't repeat. So, we have in this in this case, we have the one in this cage done.
We have also the one in this box done because there's one here. This cage is also done. But we do need So, like for example, now it's only here in this box, but that doesn't do much.
Oh, but we do have knights. Let's see.
In this in this cage, where is orange?
Which digit is orange? It's not this one. It's not this one a lot. one. It's not this one. It's not this one. And it's not this one by knights. Okay.
Nice, nice, nice. Ah, it's not on this palendrome. Now, that's [snorts] very interesting. So, there is no orange.
That's interesting. There is no orange in these.
Now, there's an orange over here. Let's I'm going to put a little flash there cuz we don't know which one it is.
[snorts] Now there's an orange over here.
This is possibly orange. And that is one two three four five six from this one.
So it's 1 2 3 4 five six. This is possibly orange.
Is that helpful in any way?
But none of these are possibly orange, right?
Because because none of these are orange and these aren't don't really matter, but these are not orange, right?
So now orange is one of these.
Ah, not you. Excuse me.
Do you get what? Do you guys get what I'm saying? Because this can't be.
Listen, I don't even know. I don't know if I know what I'm saying. I just These can't be orange. And these are 1 2 3 4 and then we have fifth from the end.
Six, seven, eight, nine, 10. The none of these can be orange. One, two, three, four, five. Ah, wait. One, two, three, wait. One, two, three, four, five, six, seven, eight, nine, 10.
Uh, but this one, which is this one, can't be orange. And this one can't be orange, which is that one. That can't be orange. This one can't be orange, which is this one. This one can't be orange.
And these can't be orange. We have arrived at logic.
But that's the best we've got.
Oh, my bad. And I think we can now, well, stick with the colors cuz I think we're going to do now this digit. Let's see what that turns out to be. [snorts] Blue. Let's make it blue. Those are the same, right? And now, now we have in this cage, it's done. In this cage, it's done. We need a blue in this cage.
So, it's not here. It's not here. Here we have a knight's move.
Now it's one of these. If it was in here, this could these could easily be um more blues. If it's here.
Yeah.
Oh man, why is this not going well?
[laughter] Shoot.
I expected this to take a while.
It's not here. It could repeat here. No, it can't because that would be this one.
Okay, let's ask ourselves, can blue be on the palum? I mean, it's not a very great question.
It's not a wonderful question, but blue can't be here. That makes sense. It could be here.
Oh, no. That's a great question. So, where's blue here? It's not there. It's not there. So, now we have blue can be in any of these. Let's put those flashes.
Um, it can't be. So, because it can't be in the cage and we have sudoku and we have a knight smooth. So, can it be one, two, three, four, five from the end?
One, two, three, four, five from the end. Yeah. Yeah. In fact, [laughter] in fact, we said, in fact, we we said it could be, but it can't be this one. And remember, we had said it could be one of these. Ah, that was an even better question to ask. So, let me just No. Um, so this it could be this one.
Remember, and then we ask ourselves if it could be one of these. It can't be this one. So, it can't be this one, right? Because it's seeing this one by Sudoku. So, it's not here. It's not the next one, which is these. And then it could be one of these. It can't be this.
Look at that.
Look at that.
Interesting. So, this is not it.
So, it's either here or here.
If it's here, it's here. If it's here, it can't be here.
That seems like solid logic to me. Let's try that again. One, two, three, four, five. One, two, three, four, five. So, if it's here, it's here. If it's not here in this box, then it has to be here, right? And then if it's here, then there's still nowhere else for it to be in this cage except for right here. Cuz remember the options we had were here, here or here. We removed this one and now this is just not possible.
Anywhere it is in this box, it has to be here by Sudoku by Sudoku and palendrome. Okay, so it is that one meaning it is that one. It's not here. Ah, I keep doing that. I don't know what is it that I'm doing that I keep doing that.
Okay.
Okay. So we have here here here and here in this box not possible. So we have one of these is is blue which is ah ooh in this cage. Now this is blue in this box. Now this is blue. Isn't that the case?
So now there's a blue up here.
No night's move. [laughter] My grammar also seems to just be thrown out the window sometimes when when I'm having pain days, man. H And then ah but the here we have and it's not here by knights. So this is um a blue friends. I consider this a job well done. Wait, now we need a blue in this cage.
No, it's fine. And even if this was And then if this was the blue, we have all of these that could be blue.
Oh well, but we did some good. We did some good logic. Huzzah to the Huzzah to the logic. [laughter] Now we can do another color.
Let's do yellow.
yellow. And now you're here.
We're done in this cage. We're done in this cage.
We would like now to be done in this box. That's a good question. So, not here. So, now we have one of these is yellow, right? There's no knight's move.
No, no move. Nice moves are these. So not nice move but we have 1 2 3 4 5 6 7 8 and nine from the end. So 1 2 3 4 5 6 and so we have 7 8 and nine from the end. Um friends I already see that this is not possible. [laughter] So the only one we can do is this one which is 1 2 3 4 5 six seven from the end.
Seven from the end. So these are a nogo and we're doing a lot actually now friends look at all this which has been done these are um my bad my bad friends these are possibly yellows in this cage we're done not sure about this cage interesting we need something in this cage and we have sudoku sudoku sudoku Knights. So this is the only one that can be yellow.
Fascinating.
Very nice.
That is very interesting. And now friends, in this box we cannot have we cannot have here and we can't have either of these because if we had either of these then they would see I mean well this one sees this one by knights. Just real fun real quick. But also if it was here it would see this by nights. If it was if it was here it would see this by nights. So it's not there. Oh also sudoku. [laughter] Okay. Also sudoku. But now these have yellow flashes. Yellow flashes.
Here not. Here not by Sudoku. We're doing great. So now one of these, which is interesting cuz now we can do more of this uh flashing. So let's do one from the from the from the other yellow.
Let's go inwards.
One, two, three, four.
One, two, three, four. Can this be yellow?
[snorts] Yes, [laughter] it can be yellow. If this was yellow, if this was yellow, this is yellow. If this is yellow, this is not yellow. And this one of and and this can also not be yellow. So, this is the only yellow.
Okay. Well, we have a staring competition between these yellows, between these yellows. There's a lot of staring competitions going on. I feel like I should have these a bit better defined.
Shouldn't I? I think so. If this is yellow, this is yellow, and this is yellow, and this is yellow. Beautiful.
If this is yellow, we know nothing.
[laughter] We know we know absolutely nothing.
Are there any knights moves? I'm forgetting.
Um I don't see any.
No. Anyways, anyways, we we we keep going because I think this is going kind of well. Uh let's do green. In fact, I quite like a green. No, let's do red. I can barely see that green. And I'm not even we're [laughter] Yeah. Okay. So, we have one, two, three, four. Then we have one, two, three, four. Ah, so we're reaching the end of this uh digits which are in this in this cross. This is actually quite useful this um this cage. I'm quite thankful for this cage. Ah, it's very nice. It's very nice that we have this because now red can only be in one of these. It can't be here. Ah, no. No twos. If it was here because it can't be there because of the same cage. So now we have red is somewhere here.
That's very nice.
Yes. Quite nice. So now this isn't this isn't this isn't this isn't. And now here only with red. What the heck?
[laughter] Here only. Now with red because of this one. Uh this one.
Yeah. By knights. Yeah, bro. Okay.
[laughter] So this is not Yeah, bros.
This is not red, bros. Um and so now the second one is possible red. No, not possible. Red.
Many reasons. Not possible. Red. No red again. I'm sorry. I don't know how I keep doing this. No. Okay. So, you are red, which is great because now we have no more reds in here. And now these need to be reds.
That's very good. I'm very happy with that. We need a red in this box, but not in the cages. So, not here. Not here.
Not here by Sudoku. Not here by Sudoku.
Not here by knights. Not here by knights. This is the only red. This is the only red, friends. Which is fantastic. Uh red. Because now this is the only yellow.
Ah we [laughter] have stuff going on.
Ah. So now we just have the normal. Ah, no. No. Knight's move. Knight's move.
That's not it. So this is it. This is it. This is not it. Tag not it.
[laughter] Tag not it. Uh, we did this and we pushed an orange out which is fine. That was a non-consequential orange. I'm so sorry [laughter] to be ranking my oranges in this way. I apologize. We're done with the yellow.
Holy [ __ ] We're almost done with the red.
Ah. Oh, very nice. Because this there cannot be red here. And we have these by sudoku. Oh yeah. So this is a red.
Are we almost done with the reds? We need a red in this in this cage. It's not here. It's not here. It must be here. Boom. By nights. Did you see that?
Nights. So this is it almost. This isn't red because we have only these two places left for red.
This isn't red because it's in the same cage. So this is red. This is not red.
This is everything. Not everything. Not anything but red. [laughter] That's what I meant.
H interesting. So now we have a a an a virtual X-wing. Not virtual, a [ __ ] X-wing. [laughter] This is a goddamn X-wing on um on uh on oranges. Meaning here we need orange.
Here orange. Orange there. Orange. If they're not there.
Okay. [laughter] If they're not there. Okay.
Great.
This has been fun. And what else? And I'm going to take a sip cuz I'm needing food.
I'm training myself, by the way, to now need a beverage around this time. It's really interesting. It gets Pavlovian at some points.
Oh, we did orange. Okay, sorry.
Elevator. That was total elevator music.
We did red. What I want now, friends, is to continue in this uh in this in this thingamajig in this cross. So, we did all these colors and we're doing great.
In fact, we finished the reds. We finished the yellows. Fantastic. Almost done with No, we're not almost done.
That was hopeful thinking.
Barely done with the um oranges.
Kind of there with the blues. Let's do another color. But I want something that's going to be in this. Is that too much to ask?
How about these? I want something that's going to be in this cross. So these Let's make these blue. Uh green. Great.
Green. Um one, two, three.
One, two, three.
Now what?
Uh, not here. Not here.
That's it. Okay. Well, green is going to be some maybe somewhere there. Well, we need a green and there needs to be a green somewhere here. So, we're looking at um after red. After red, it's immediately and then second. Immediately and then second. Not possible. Immediately. So, this isn't green.
This is possibly green. Okay, sorry about that. And where were we? We were looking at this two. It wasn't one after red. It could be two after red. And it could be one, two, three, four, five, six. So it could be right after yellow. One, two, three, four, five, six.
Huh?
Okay. [laughter] So, we need there to be one in either of these places, which is fine. If it's here, it's here. Makes sense. If it's here, it's here. And then where the crap is it going to be otherwise? It can't be here.
One of these places.
That seems like too many options. If you ask me now, I think that works. I think that [ __ ] works, which is terrible.
[laughter] It's terrible that that works. Even so, even more so because of because we need one in here, but we need one in here.
But there's more space.
Okay. All right, Martha, stop panicking.
Stop panicking. So after this, we This can't be one. So this can't be one.
And this could be, but this can't be.
And then we have yellow.
And then we have this can't be.
And then this can't be. Did I get that right? So this can't be green. And then none of these could be green.
Yeah. Actually, wait [laughter] a wait a second. Wait a damn second. [snorts] Wait a damn second. You can't be green.
You can't be green.
None of these could be green. This can't be green.
So this this can't be green. And then this this can't be green.
So those aren't green. So this has to be green.
Okay, I'll take that. So this isn't green. So now if this is green, I'm so confused. [laughter] Give me a sec. Give me a goddamn second.
After red, you have 1, two, three, four, five, six. Okay. After red, one, two, three, four, five, six. This is the one.
Now we have this is a orange green pair.
Not a fruit pair, but a but a sudoku pair. So that's like that. Okay.
[laughter] This is so much going. So now this is indeed over here needing to be a green.
And if you ask me, that's that's too many colors. [sighs] If you ask me, that's far too many colors.
But it's three colors in four digits in four cells. So it's not too many colors.
It is not.
H what? What just happened? Oh, [laughter] I was like, [gasps] huh?
Okay. But now we need there to be a green here. Okay, we we notate then ah we need there to be a green somewhere here. So not green. Not green and not green. This is green. So this is this one. It's not that one we have here. Ah. Ah.
Ah. Okay. [laughter] Nice. This is good. Everything's going according to plan. I think I think. I think. I do think. Good. Ah.
Orange. Orange. Not orange. Orange.
Not orange. Ah, here we have it. Here we have it, friends. Here is what I was looking for. But just give me a second.
Let me stare at this a little bit longer. Okay. So, this now is another green orange pair. And it's not blue. So this is not blue. This is the blue which is great. So now we have blue got to be here not there. So blue not flash blue flash because not completely. We know for sure they're blue. No more blues here. That's fine. We have the blue. We need a blue in this box. That's okay. In this cage that's fine.
Hey, this is going great.
This is going very nicely.
Um, now what?
Love is a splender thing.
Bueno, I think. Um, yeah. Okay, we did good stuff. Where's my beverage soup? I think we're good. What do you guys think? Let's continue with these um digits that are in this cross cage.
Why? Oh, I know why. Because [laughter] sorry. I'm like I know. I know. But I that was a vibe I had and then I was correct with this vibe. Great. So, we have pink. Pink doesn't repeat here. Not here either. This is pink. This is pink.
Huzzah. Huzzah. The pink. Now pink is somewhere here. Pink not here by night's move. [laughter] [gasps] Oh man. Okay. So five uh pink then pink is here by Sudoku. That's very nice. It's great that once you have something going on, you don't have to work as hard. [laughter] Pink flash.
Pink flash.
And then pink flash. Interesting.
Very interesting.
So after Wait, this is on a This is on a Oh, no. This is correct. Ah, this is on a palrum and it's after Oh, well, there you go. Oh, well, there you go. It's after the It's orange, blue, yellow, red, pink, orange, blue, yellow, red, pink. So, this is the pink. This is not the pink. How are we with the pinks?
We've checked this palm working. We've checked these two palendromes working.
So everything's going according to plan.
Now we have this is either and this is either. A fun fact for is that we need the pink in this cage. So I think that's going to we Yeah, there's nowhere else where this pink can be. Is there?
It's not here. It's not here. It's not here by Sudoku. Yes. So this is pink.
This is not pink. Which makes this not pink. This not pink. And now these are invaritably pink.
We did it. This is great. We're doing so [laughter] well.
Cheers. Yay. Cheers. Now, let's do this color.
Now, I have to explore other other Sudoku worlds.
And let's do a dark green.
Yeah, let's do a dark green. [ __ ] it. A dark green and this one are the same.
So, dark green and dark green. Dark green.
[laughter] Um, anything else? There has to be a dark green on a palrum somewhere here, which is very interesting because then that means that um um we need it to be after blue in between blue and yellow here.
Okay. Well, in theory, okay, let's just do like this because that's kind of what's going on.
So, we have one, two, three, four, five, six. Nine. One, two, three, four, five, six.
Nine. Oh, this is That actually works too well. [laughter] Too dang well. God damn. So, this none of these are um green. Oh, I have to remove this flash.
Oh, that's weird.
there.
What the [ __ ] is going on? What is going on? [laughter] Okay, thank you. I don't know what happened. Okay, I have to remove this because what we have is only these two spaces left and this is this tells us something because of knight's move. It can't be here and doku. So, this is this is dark green.
So, now dark green is somewhere here.
And what the crap is that going to tell us? Nothing.
Oh, wait. No, Martha, you literally just said where it is. Okay. On the palad.
Okay. So, orange. 1 2 3 4 5 6 7 8 from the end. One from the middle. 1 2 3 4 5 6 7 8. There we go. So, this is green.
Ah, it's knight's move. It's knight's move. We good. Oh [ __ ] No, don't move it. H. This is not it.
So, uh Oh, very interesting. So now this is I have to go all the way back to the other colors before moving this flash. There we go. Um so this is a green dark green blue orange triple.
And in fact this is not um dark green because of this by night's move.
Ah, we need ah ah we need a dark green in this um in this ball in this cage and it can't be here or here. So it has to be in one of these two places which means it's not here.
There's so much going on.
I think this is three colors in three in three cages. No, in three cells.
Yeah, that's a triple. That's a triple, friends. So, we're going to remove the flash because that's pretty much it.
Uh, I just removed the colors. It's not what I wanted. Mhm. [singing] So we need ah [laughter] wait. So now green dark green is somewhere here which is fine.
Wait we know exactly where it is here.
So we should know where it is here. I forgot about that. I didn't see that. So from the end we have one two three four five six.
One two three four five six. Okay. So it's not here.
It is here. So now it is here.
This has a flash.
And now now we know a little bit more about the world. That's great. So what we're going to do now is do a la almost last color.
Let's do a let's do a dark blue, friends. I hope it's clear enough the dark and the Yeah, it's like an indigoish. You guys, I hope you all see that.
And now that's this one.
Ah, this is very nice actually because we need it to be in this in this thing.
So it's here.
Huh?
Huh? Okay. So that means it's one, two, three, four, five, six, seven from the middle. One, four, five, six, seven from the middle. And then this is it. And then this is it because we need it in this box.
And in this cage is already done as well. Wow, this is actually quite quick.
One of these is One of these is um I'm going to remove the flash.
Now we have a light blue and dark blue.
Uh look at this light blue and dark blue pair. It's so pretty. I love blue. You all know that about me. Uh but this is blue by um by Sudoku because this is not this is not blue. So this is dark blue.
Meaning this is dark blue. This isn't dark blue. This is not dark blue. So this is dark blue. How do I There we go. And we're done with dark blue.
Oh my gosh.
Oh my gosh. [laughter] So, we're left with these little white. What is going on here? What is going on here?
[gasps] It's possible I might have made a mistake because I did not fully notate. No, I don't think I No, just cuz I don't know where to.
Yeah, these are all going to work out. I think they should work out. Now we have to make sure the palendrome business works out. Otherwise, we're [ __ ] Yeah, we still need an orange and a green in there. So, it should be fine.
Yeah, it should be fine. But these all should be working out. What I'm going to do is I'm going to make these like a just a gray. And I'm so sorry for that.
I'm so sorry for that. But let's see if these work. So we have 1 2 3 4 5 6 7 8 that works. Then we have um one two three four five six from the middle.
Six from the middle. That works. Ah that works. These work. Ah it works.
Okay [laughter] great. So, France, there's some business going on with the oranges and the greens. We got to fix that muckery up right now. What's going on?
Okay, this needs to be orange. We need an orange in here. Ah, this is blue. Ah, there we go. No, there it is. It This can't be blue anymore. So, this is the orange. This is no longer orange. Making this this one. This now has to be blue.
There we go. There we go. There we go.
So, this is blue. This is no longer blue. And then we fix these oranges. So, this is not orange, which makes it green. So, now this is a um in theory it's the orange. Ah, look at that.
You are annoying me. What is your problem? So, this is um must be green. We're done with the dark greens. Beautiful. Why are we not done with you? What is going on with you?
It [snorts] has to be What is this?
What is this?
What? This is and this isn't.
They see each other. I mean, I know they're different. D What's going on?
H how are we to know which one's which?
[laughter] How are we to know which one's which?
Did I mess something up?
Give me a second while I just stare at this.
Oh no.
Oh no.
Should I start panicking?
>> [laughter] >> Can Can I start panicking now? I would like to panic.
This king's knight knight's move.
Where are the knights moves? Can the knights moves please um fix this? Please fix this knight's move.
Oh my gosh. I I I I I would like to start panicking. Can I start panicking? Oh my god. [laughter] It's a deadly pattern.
It's a deadly pattern.
What did I do? I hope it's not incorrect.
Oh man.
And now, how the heck am I supposed to Wait a second. Wait a [laughter] there is a larger issue at hand which is that I have a bunch of colors on the grid and everything's great except I need to put numbers. [laughter] [ __ ] How am I supposed to put numbers in this business?
Supposedly. Supposedly.
Oh, it's the magic [ __ ] It's the magic [ __ ] square.
It's the magic [ __ ] square.
I am shivering in me timbers, y'all. I am I am shaking in my boots. How the crap am I supposed to Oh my god.
So guys, what do you want to bet this is the magic square?
Or this is or this is?
How are we supposed to Okay. Okay.
Breathe. Breathe. Breathe. Breathe.
Okay. I'm going to write stuff down. I'm gonna write stuff down. So, blue, dark green, pink, and orange create.
[gasps and sighs] Oh my god, that's genius.
That's [ __ ] genius. That's [ __ ] genius. That's so This is so cool. Oh my god, this is so cool. I couldn't have I really wouldn't have. This is so elegant and so beautiful.
I can't with this puzzle. It's amazing.
[laughter] [ __ ] Okay. Okay. Shush.
Shush. Everybody is It's Oh my god. You and you not only are you consecutive, but you're a one two pair, which means this is a one and a two friends. And if it's a one and a two, it means this is one, this is two, this is three, this is four. It has to be like this before we uh do it. I must I must visualize.
It has to be like that. It has to be like that. And it can't be the other way around. Like this can't be one and this can be two because then what's one consecutive with? Nothing.
This is incredible.
I am really Oh, you can't see my head. I really This is amazing. So, these are all ones. Oh my god, Martha. These are all ones. These are all twos. These are all threes. [laughter] These are all [ __ ] fours.
>> Oh my god. I was like, "What the hell?"
No, these specifically are fours. The others are dead to me. No [laughter] [cough] kidding. Not yet.
[gasps and laughter] Not yet. Wow.
So supposedly now friends, we're supposed to just do incredible. They must all add up to the same thing.
I know that there is some trick about magic squares for them to add up. Okay.
Well, you know what, friends? Let's do that logic live. Let's [ __ ] let's [ __ ] let's [ __ ] take a look at it.
For everything to add up, it has to add up to like this really nice number, right? It's probably like Yeah, because we know so we know that there's a secret in uh in [laughter] Sudoku in cracking the cryptic which is that um uh all the digits from 1 to 9 add up to 45. Math 1 plus 2 plus 2 plus 4 into 9 those add up to 45.
So 45. Okay. So 45 divided by 3 is 15.
And it's one of those digits. It's one of those things. It's like 15 or it's five or three. It has to be divisible.
The digit that we add up to has to be divisible by has to be a a divisor of 45.
I just don't see three 15.
That's possible.
Yeah. Actually, if it's 15 15 and then it's 15 15 15 that makes sense.
And then 45 / 2. No, no, no, no, no.
That doesn't that's not necessary. It's uh because of this would be 15, then this have to also have to be 15.
This is really interesting because this is Can we just pause and appreciate the position that we're put in right now because what what's happening is that now we're really looking at we're being highlighted what digits do we need and where do they have to be to make to make a magic square. So like we do not want ones, twos, and threes to be like in the same in the same column, right? This is not going to two even this or or how about um Oh, this is perfect. This we can't have this in a magic square because this adds up to six and the other digits are all larger than six. [laughter] Mostly most of the other digits that we have available are all larger than six.
So it's not these aren't going to add up to six. That's incredible. So what we're looking for is a magic square where the ones twos and threes are like separated, right? So for example, this can't be this can't be this can't add up to 15, right? So this isn't the magic square.
One of these is the magic square.
Maybe this one.
It's not this one. So, we don't bother about adding up to to the one. We have to figure out what's the perfect Oh, this is so fun. It's like we have to find the perfect environment for a magic square. This is so cool. Three and four can be together, right? Oh, you know what I'm going to do? I'm going to do like a little grid on my whiteboard.
Uh um a 3x3 grid. And then I'm going to like remove the things that I know aren't magic square. So, this isn't one, right? This isn't one. Um, so that's an X. That's an X. This isn't one. Um, nine does not 15 make. Um, this is not it, right? I mean, what are we going to put in here? 12. No. So, it's not the It's not box five. It's not box four. Famously, we were just talking about that.
Um, it's not uh box three. Interesting.
I don't think he can be here either.
Well, okay. So, this could be a nine.
And then H interesting. Oh, it's not box one. Yeah.
So, it's not box one. So, it's between box two and box five.
Six. Sorry.
So this could be a nine if this was the if this was the thing.
This would as in this would have to be a nine. And so if this is a nine, this is a one, then this would have to be because we're adding up to 15, right? I think that's a normal thing. That makes sense that we do 45 divided by 3. So um then we have 6 + 9 is 15. 9 + 1, this would be a five. Ah, don't put it in.
This would be a five. Then we have five.
Three. Then this must be a seven. Then we have seven + 2 which is nine. Then this have to be a six. And then we have three four which is seven. This have to be the eight. And that also works here.
So that's what that would look like if that was a magic square. And that works.
That actually works.
here. It's not as easy to do because we don't have the four.
The four could be here or here.
If the four was here, then it's here and here.
I'm going to do that little white. I'm going to do a white flash there, friends, because or a black uh flash because um I just know that these are these and then these are these. I just want to make sure I I have those separated.
[sighs] Anyways, um so here it's a lot less um Yeah, shoot. How are we supposed to know which one is which if we don't? The thing is we need to make clear which one's the four and which one's the other digit five I guess.
Okay.
Point is there's a Okay. Well, okay. No.
So something we can do is that there is that there is a four here, right? So then this would have to be two four and that adds up to and then we would need the nine, right? So this is this would be a house. This is a four and nine pair.
Great.
That doesn't do as much as I thought.
That [laughter] doesn't do as much as I thought.
Okay. something we can't ah ah this wouldn't be the four this is so interesting this is such an interesting puzzle this is such a beautiful puzzle okay if this was the four this is a one that adds up to 10 this have to this adds up to five this have to be 10 that's not possible so this isn't the four this is the four this is the this is the nine this is the four um Okay, please don't work though because I would like [laughter] But if it's not here, then how are we going to fix the this uh thing?
You know what I mean? But I can't just say it is that one because here this worked well. Why couldn't this be it?
You know, so now this is the eight.
8 + 1 is 9. And that needs a six.
6 + 2 that needs a seven.
Um 9 and 1. That's 10. So this is a five. Does that add up?
Yeah, it does. How the [ __ ] are we supposed to know?
Oh my god.
What is going on? How are we supposed to know? Numbers don't repeat in cages.
Gray line is palendrome. Chess knights move. Great. One of them is a magic squares. The diagonals. The diagonals.
The diagonals.
This works. This works. You piece of [ __ ] This doesn't work. There we are.
There we are. I did it, friends. I did a magic square. Yes. [laughter] This feels amazing. Billy Beth, God, thank you. This is amazing. I don't want to overwhelm the mic, but I just [laughter] Oh my god. So, this doesn't work. That doesn't work. This must be the way it is. Meaning, this is Oh, this is incred.
This is incredible. This [snorts] is an incredible I can't believe it. You know when you read a book and you're like, "God, I wish I could do that book again." Like, I wish I could read that book again, not knowing what was going to happen. I wish I could do this puzzle again, not knowing what was going to happen. So, this is now So, these are now green and not nine. So here well actually they are nine. Oh yeah. Um these are not and so now we have now now everything's right with the world. So now this is the four which we knew right? So now this has to be oh I can't believe it. This has to be the nine. This has to be the five. This has to be the seven. This has to be the six.
This has to be the eight. [laughter] That was amazing. [ __ ] That was incredible.
[ __ ] I just h really amazing. I can't even I feel amazing. This is great puzzle.
You should do it. Billy Beth, thank you so much for sending it to me. Thank you for making it. I mean, this is really great. This is really great. God, I'm going to have a great day now.
[laughter] I hope you do, too. Thanks so much for joining me. Thanks, Billy Beth. And um have a great day. Warm regards.
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