Getting an Odd count

[00:00:07]Hey, how's it going? Welcome back to the channel. Today's puzzle, it's uh by Tim O'Tap. We haven't done a Tim O'Tap puzzle in quite some time, actually, I realized. Uh this one is called Counting Oddly.

[00:00:17]Now, it was posted today. I think it was posted today, but it's got like a 73-day um time frame, so it was obviously set sometime ago in this uh program. It's just now being published here.

[00:00:31]Uh but anyway, it's not supposed to be super difficult or anything like that. It's supposed to be a nice uh hopefully friendly puzzle.

[00:00:37]It's an interesting rule set here as well that I saw that I wanted to get into. So, that's what we're going to do.

[00:00:42]Now, let's go through our rules, see what's doing. It's got normal Sudoku, so every row, column, and 3x3 box will, of course, add uh or will contain the digits 1 through 9 once each, which will add to 45.

[00:00:53]Don't know why I put that in there, but there you go.

[00:00:56]Uh killer cages, the digits in cages do not repeat and must sum to the value in the top left corner. So, these two add to 12, these two six, these to 15, etc., etc. And the clues in the white circles indicate the total number of odd digits that border orthogonally or diagonally the two cells immediately touching the circle, and not including the two cells themselves. So, this five cell here, or this clue that is a five, is touching these two cells.

[00:01:23]So, every digit that [snorts] touches those two cells orthogonally or diagonally, there will have to be that many number of odd digits. Now, obviously, for this whole region, we already know that's the case. Uh but it will [snorts] also state that these two will not be counted towards those odd digits. So, there could be a little tweak there. I'm not sure if that tells me something right away or not. We'll have to kind of dive in and see if that's the case.

[00:01:51]But anyway, those are all of the rules. So, we're going to jump into it, see if we can figure it out. Link's going to be in that description below. Let's get at it.

[00:01:59]Let's have some fun.

[00:02:00]All right. So, I think we want to start the high high now the the point I was trying to make here, and I think in this case, it is true. But I again, I don't entirely know if it's going to be the case elsewhere.

[00:02:15]But if we think about this entire region has what? Five odds and four evens.

[00:02:20]Well, if this thing sees five odds, and we can't count anything in the two squares that this circle touches, we know that all of the odds would be out here, and these will be evens.

[00:02:33]Now, that does not necessarily abide by all of the other ones, cuz you could still have Excuse me.

[00:02:42]Like these here.

[00:02:44]All of these are touching those two. 1 2 3 4 5 6 7 8 9 10. That's 10 possibilities of odd digits.

[00:02:52]And they're spread out in such a way where we don't have a given a five in any row, column, or region.

[00:03:02]So, it's possible that one of these two or both of them, I guess technically, could still be odd and not count towards the oddness that this is picking up. So, I don't want to just use it as a blank a slate to say all digits within those are odd, cuz it's not necessarily the case. Anyway, 2 4 6 8 here as well, the same concept. Let's try to thinking about what you can be, maybe. Or is there any other I haven't looked, to be honest, at some of these um cages to see if there's anything in here that we could couldn't use that's going to be a a little bonus for us right away. I don't see anything that's just a given.

[00:03:44]Every clue here looks like it has multiple options.

[00:03:49]So, let's start thinking.

[00:03:53]I was going say you, but I don't really think there's too much here cuz you're just going to be an odd digit. This might be one of those even odd type situations.

[00:04:04]Yeah.

[00:04:04]>> [clears throat] >> Cuz let's think about these two fours and two four sixes and eights.

[00:04:09]Well, that's all of the even digits.

[00:04:12]Right? So, we know all of these will be odd.

[00:04:15]So, how do we make a nine cell a not a nine cage with three cells only using odd digits?

[00:04:23]>> [snorts] >> The possibilities are um one Well, think about all the possibilities of a nine cage and three cells. It's 1 2 6, it's 1 3 5, and it's 2 3 4. Well, the only one of those versions that works is the 1 3 5. So, that's what you will be, and then these will have to be sevens and nines.

[00:04:47]And we have this row.

[00:04:50]Now, what [clears throat and snorts] of that can I use is the next question.

[00:04:57]Now, let's start thinking.

[00:05:01]See, this six, I don't know if I like I'm I think the nine's probably the best way to start going on this cuz I don't think we can use any of these other smaller ones just yet.

[00:05:09]What did we say about all of these? We said there was 10 different things here.

[00:05:15]So, we need to get nine of them, which means we can't rule out both options of any of these uh cages.

[00:05:24]So, you can't be a 2 4 cuz it'd only leave 1 2 3 4 5 6 7 eight different cells that are odd.

[00:05:33]So, you will be a 1 5.

[00:05:36]Now, what about the eight? Cuz we have 1 7 that it could certainly be, the 2 6 it can't be, and the 3 5. So, both of these eights cannot be 2 6s, but they could still be 1 7s three fives. Now, obviously, you can't be a five, so you can't be a three.

[00:05:53]So, now we do have one, two, three, four, and five, or six, excuse me, of just odd digits.

[00:06:03]Now, the thing is you could very easily be an even digit cuz we don't have the same restriction here.

[00:06:12]And so, we have just three more we have to place in those four cells some of odd digits somewhere.

[00:06:20]Can we go any further with that, or do we need to think about the four and probably this four?

[00:06:26]Cuz we're going to know there there's certain groupings of these as well.

[00:06:32]Like the 13 is going to be [clears throat] one odd and one even, right?

[00:06:38]>> [snorts] >> The 12 here though could be two evens or two odds.

[00:06:47]The 15 1 6 7 8 is also one odd, one even. So, we've got two odds guaranteed.

[00:06:58]Again, the problem though is we could put two odds here, and then everything else would be even.

[00:07:06]Or this is two evens.

[00:07:09]Now, we just need to fit two more odds into those.

[00:07:13]1 3 5 7 9 9 1 And we said you're one odd and one even.

[00:07:19]I might start marking some of these a little bit to give me the visual cuz I know we have one, two, three, four odds going on in this row at the moment. But again, the 10 doesn't have to be or have an odd in it, period. Either one of those two could be.

[00:07:36]You currently see >> [clears throat] >> two odds.

[00:07:41]This four cell.

[00:07:44]And it needs to see two more in some fashion. We know one of those two could be, but eh What about this 12? Does he tell me anything at the moment?

[00:07:56]Cuz we know you can't be a 7 5, right?

[00:07:59]Is there anything more we can do with him?

[00:08:02]I don't think there really is.

[00:08:06]Cuz you could still be 9 3 or 8 4.

[00:08:12]Again, this 12 we don't really know anything about. The 10 we don't really know anything about.

[00:08:18]Okay. What do I think about the seven? I don't think there would be cuz again all of these are 10 possibilities. We know one of you is odd.

[00:08:27]I guess we should just color this.

[00:08:30]And maybe something will jump out at us.

[00:08:33]>> [clears throat] >> We know you of course will be odd.

[00:08:41]And we need three more odds. What about the 15? What are the processes of that?

[00:08:49]I guess there's multiple ways it could work, isn't there?

[00:08:58]We know there has to at least be one odd.

[00:09:10]So it could be an odd and two evens.

[00:09:14]Or it's three odds.

[00:09:16]But I don't think that tells me enough.

[00:09:22]Cuz we could do either one of those at this point.

[00:09:25]The six of course we know it's going to have to have one of these be an odd.

[00:09:31]Cuz we know that we can only put five in here.

[00:09:35]But this could still be multiple odds if we put an odd in this in this the the cells that are touched by the six.

[00:09:44]Okay. Um Is there more to the seven cuz I we know it touches one already. We know it's going to touch at least two more.

[00:09:55]Because of how the nine's going to work cuz we have to put three more.

[00:10:00]So it could be this one two of those or could be all three of these.

[00:10:05]You I guess you can't be a 1 5, can you?

[00:10:13]>> [clears throat] >> Cuz that would break this column. So you will just be a 2 4 then.

[00:10:18]You will be even.

[00:10:21]That doesn't tell me anything about the 14. It does say that these two are now out.

[00:10:26]So then Oh, that's what it is. That's going to tell us the nine. Okay, I should have stuck to the nine. I just kind of moved on. You are all odd. So 1 2 3 4 5 6 7 8 and 9.

[00:10:35]Okay.

[00:10:37]There's only one more odd in this region.

[00:10:40]1 2 3 4 5 6 7 and 8.

[00:10:46]>> [snorts] >> So there's only one more even in all of these.

[00:10:55]Can we figure out where it goes?

[00:11:00]Don't know that we can.

[00:11:05]Unless we think about the four and maybe that's going to jump-start this cuz we know it already sees three.

[00:11:12]It can only see one more of these.

[00:11:18]Oh, excuse me, those.

[00:11:20]No, not you. Those.

[00:11:22]Get there eventually.

[00:11:24]The Again, the 14 Does the 14 have No, the 14 Well, okay, we can do do work on the 14 then. Now that I'm thinking about this properly. Cuz it obviously can't be two odds, cuz we'd be breaking the four.

[00:11:37]So, it can't be 9 5.

[00:11:40]It could be 8 6. Well, guess what? It's going to be 8 6. So, it has to be those.

[00:11:49]Now, again, [clears throat] we need one Oh, these are all odd, then, cuz we already have all the evens.

[00:11:57]So, that means you are the final odd.

[00:12:00]We're not counting the one that the the four is touching.

[00:12:04]So, we can't put even or odds in either of those two.

[00:12:08]Now, I don't know if you're odd or not, though, cuz you could still be, but you could also be even.

[00:12:13]Let's go back to our seven. 1 2 [clears throat] 3 4 5 6 and 7. These all will be those odds, cuz we just said we only could put one more even.

[00:12:22]1 2 3 4 5. These are all even. Okay, good. Yeah, so the coloring is really helpful here, cuz it's Once we start moving down the line, starting to tell some stuff. You are all odd.

[00:12:35]Excuse me.

[00:12:37]And we know we have you as the sixth partner.

[00:12:44]So, that And we can't put any more, so we know these two have to both be even.

[00:12:49]Cuz we can't put an odd in here, cuz then we won't have enough odds left over in the region.

[00:12:56]So, that means the evens are done in this row.

[00:13:01]And this will be two evens and the one final odd.

[00:13:08]Does that help me?

[00:13:10]Good question. Or do we now start thinking over here a little bit more?

[00:13:20]Um let's see.

[00:13:22]>> [gasps] >> Or now, do we know anything about the 15?

[00:13:28]No, cuz it's still the same thing. It could still be the two evens and odd or all three. Oh, no, it can't be all three odds anymore. So, it has to be the two evens with one odd.

[00:13:41]>> [clears throat] >> Cuz obviously you can't put two odds in an even cuz that would be an even digit.

[00:13:46]We're looking for an odd digit. So, you will be odd.

[00:13:51]Cuz we we're going to finishing the row of evenness cuz we have to do two evens.

[00:13:54]So, all of these will be evens.

[00:13:58]We already know there's one even and two odds up here. Oh, sorry.

[00:14:03]No, I did that wrong.

[00:14:08]Oh, no, I just didn't. Duh, there's two evens and one odd up here.

[00:14:14]You had to be the odd.

[00:14:19]I don't know why I miscounted that.

[00:14:20]Thought that was five for some reason.

[00:14:22]Hello.

[00:14:26]Yes, because we [clears throat] have two evens and one odd up here.

[00:14:31]We have two evens and one odd up here. So, all of our evens are done. So, you will be those odds. And like we said, this is two evens and one odd as well.

[00:14:44]>> [clears throat] >> Okay.

[00:14:45]Now, let's keep moving and see if we can here.

[00:14:50]Do we have anything that's correlated back now?

[00:14:54]Yes, we know all of these are even.

[00:14:57]Again, just had to switch gears and look down here for the moment.

[00:15:01]Cuz we have we had four of the odds here. We know one of those two is.

[00:15:06]So, those are all So, we know 1 2 We got to put two more evens somewhere in this or two more odds, excuse me, in these four positions.

[00:15:17]1 2 You That's going to depend on which one of you is the odd and the even, I guess.

[00:15:27]Two, these could both be odd, but they could both be even.

[00:15:33]And I think Well, actually no, they can't both be even, can they?

[00:15:37]What happens if I make both of these even?

[00:15:40]This region would be done with evens.

[00:15:44]So, you would have to be odd.

[00:15:46]Cuz it'd be two here, one here, one here. You would be the odd.

[00:15:51]But then, this row would also be done with evens, so you would also be odd. We can't make an odd from two odds, so you are not two evens.

[00:16:00]You are an odd even.

[00:16:03]That means you've got one, two, three odds. One of these two will be odd.

[00:16:09]Wait.

[00:16:11]We're done with odds. How did I screw that up? Cuz that won't work.

[00:16:17]I know I said they can't Shoot. My brain's just melted there for a second.

[00:16:23]One, two, three, four. We're showing five odds. These should all be evens.

[00:16:31]One, two.

[00:16:34]These would both have to be odd. I broke something here.

[00:16:37]Cuz that doesn't work.

[00:16:43]Did I mess up one of these two? No.

[00:16:46]Cuz there's no way they can be multiple odds.

[00:16:51]How the heck did I do this?

[00:16:58]Or am I just being I'm being stupid.

[00:17:00]These can both be odd.

[00:17:03]I don't know why I was thinking there was one of each. We can do both odd, we just can't do both even. Okay.

[00:17:11]Brain reset there for a second. Let's put them in.

[00:17:14]>> [clears throat] >> Wow.

[00:17:16]>> [laughter] >> Okay. So, What is that? No, tell me.

[00:17:24]1 2 3 4, we can only put one more even in there.

[00:17:28]Do we have something on you? Cuz you have three of your oddnesses.

[00:17:34]So, we have to only put one more. 1 2 3 4 Oh, I'm just not following my odds and evens. I'm jumping around and not finishing off some of these things.

[00:17:41]You're all even.

[00:17:45]1 2 3, we've got two more. We can only put one of these two, we just said, in for for the column, you will be the odd.

[00:17:53]Cuz we need to put one more of them up here.

[00:17:56]And you will be the other even.

[00:18:00]Now, one of these two will be even. I don't know if I know which one it is, though.

[00:18:06]So, you will be one even, one odd.

[00:18:09]You will be one even, one odd. So, you can't be odd, cuz then you'd be breaking the four. So, you are the even, you are the odd.

[00:18:20]Okay, you're one and and one. You have to be even, which means you are both odd.

[00:18:27]To finish our four off, three and one of those two.

[00:18:31]This four is done. Now, can we go up this way? 1 2 3 4, no. We Oh, yeah, we can. We can use this side and then come back down this line. You have to be the odd, you have to be the even, which we'll come back and say you have to be the odd and even.

[00:18:47]Good. Now, 1 2 3 evens, we've got to find another even somewhere.

[00:18:55]And one three of you, four of you. There it is. So, you will be the odd, you will be the even, you will be the odd, you will be the even.

[00:19:06]And then you will be an odd.

[00:19:10]That's all four of them.

[00:19:12]Why did I miscount that again? I can't count today apparently.

[00:19:17]This was still good. I just can't count.

[00:19:19]I don't know what's going on.

[00:19:20]You will both be odd.

[00:19:23]Wow, you will both be even, which means you are even and so are you.

[00:19:30]Okay, we got our odds and evens now, done. Let's see what we can do to figure out how the heck to get an actual digit cuz we're about 20 minutes in here at this stage now.

[00:19:42]Okay, let's start thinking about the distribution of some of these values.

[00:19:47]>> [clears throat] >> And where do we want to start is the question cuz I mean like the 12.

[00:19:56]It just have to be an 84. That's the only way it works, isn't it? Yeah, cuz can't do 93, could do 84, can't do 75.

[00:20:03]Yeah, so you are an 84, so that is helpful.

[00:20:07]You can't be the eight, so you'll be the four and the eight. Hey, look at that.

[00:20:10]The 20-minute mark we got a digit. Cool.

[00:20:13]Now does that that eight is going to tell us what the 15 is cuz it can't be an 87 anymore, so it will be a nine and a six.

[00:20:20]That's probably going to tell us what this 10 is.

[00:20:30]Um no, I've left myself no room. Again, I've broken this puzzle. How the heck do I do this?

[00:20:37]I can't make this anymore. The only way to make this 10 is 64 or 82 and I've just used both of those up.

[00:20:47]Why did I put you as an 84?

[00:20:50]There is something seriously wrong with my brain.

[00:20:54]You are either 93.

[00:20:57]I'm removing the opposite version for some reason. I don't know why that's occurring to me.

[00:21:01]Can't be 84 or 75.

[00:21:05]Let's try again.

[00:21:07]You could still be the nine or the seven. You could be the eight or the six. Now, you again have to either be the six four or the eight two.

[00:21:19]2 4 6 8 and then you have to be from 2 4 6 or 8 as well, but obviously you can't be a two, so you will be the two eight.

[00:21:25]Okay, goodness gracious.

[00:21:28]I'm struggling.

[00:21:29]>> [clears throat] [laughter] >> I was on the road for 14 hours yesterday, so I'm going to give myself a little bit of slack today. You are a 5 7.

[00:21:38]>> [clears throat] >> You have to be a four, which means you have to be a nine.

[00:21:45]Now, you have to be a six because of the row.

[00:21:51]Let's see, where else can we now go and stop blundering about. You will be two and four, you will be six and eight, and you will be the eight and the six.

[00:22:04]I don't I was going to say, is it painful to watch that sometimes where I'm just making the stupidest things in the world, but then I realize what the heck I'm doing?

[00:22:12]It probably is. What can you be cuz you are even and you add to 12, so you can be those odds or the evens, excuse I just said the wrong thing again. Told you my brain is backwards today.

[00:22:23]Um you have to be the 8 4. I wonder if I was just thinking of you in some fashion over here.

[00:22:29]I don't know. You're not four or eight.

[00:22:32]Uh let's see what else what else what else what else. You can't be a six and you can't be a two because of what's going on here, so you're either four or eight, which means you have to be three or seven.

[00:22:46]2 4 These are a 7 9 pair for the region.

[00:22:52]You have to be an eight, so you'll be a four and an eight.

[00:22:56]You have to be the four and the two, you have to be the two and the six. Okay.

[00:23:02]You're not a two anymore.

[00:23:04]>> [snorts] >> All right, keep moving.

[00:23:08]Keep moving.

[00:23:11]Do we just start putting in even digits?

[00:23:15]I think we do. Two, six, and eight.

[00:23:17]You're obviously not a six.

[00:23:19]You are two, four, or eight.

[00:23:24]Eh, I don't know if I'm liking that too much.

[00:23:27]No pun intended. Do we think about what you are? Let's put these in and then think about this 15. You are just two, four, six, or eight, so there's no Oh, you can't be a six, I guess, but Oh, that does mean just you're a six.

[00:23:40]Cuz we've removed the sixes from all the So, yes, putting things in helps me cuz my brain don't work.

[00:23:46]Okay, let's think about this now.

[00:23:48]What are the options?

[00:23:50]Why were you a one? Why Oh, I missed I misstyping at the same time, too. I meant to hit two, not um, one.

[00:24:02]>> [laughter] >> Oh, this is almost turning into comic relief here for a second.

[00:24:06]So, you are either a two with a five, eight four with a three, >> [clears throat] >> or a two four, which we can't do cuz two four would leave nine.

[00:24:22]So, there is an eight on you, which means you're not. So, you're a four.

[00:24:27]You're not four.

[00:24:29]One of those two is an eight. We just don't know if the eight two or the eight four at this stage.

[00:24:35]Moving on.

[00:24:37]Let's just put all the stuff in. You're not two, you're not six.

[00:24:42]You're not two, you're not six.

[00:24:45]You are either two or four. You can't be eight. Okay, there it is. So, you will be six.

[00:24:51]That means you will be two. You will be four. You will be eight. Now we're starting to get a little bit of foothold here. So you will be the two eight, so you will be the five.

[00:25:03]Woo.

[00:25:05]Um, that should come back here. Yeah, you can't be fours, you can't be eights.

[00:25:11]Hoping one of these guys would cross over and tell me something here, but it doesn't look like it does at the moment-o.

[00:25:19]Four doesn't come back down to there.

[00:25:21]Oh, this is a two eight pair, so this can't be the uh two eight or six, so you are the four. Again, looking in the right places, which means you will be the six.

[00:25:31]You will be the four.

[00:25:34]That don't mean you're the two and the four, you're the eight and the two. You are the eight, you're the two, you're the six, you're the eight and the six.

[00:25:45]You have to be two and eight. Yes, so their even digits are finally and mercifully done.

[00:25:51]Let's move Let's have a sip of coffee, see if we can get the brain working again, then we'll get to the odds.

[00:25:59]There was like a hair on there. That's not always fun.

[00:26:01]>> [clears throat and snorts] [laughter] >> Okay.

[00:26:04]Moving on. What do we got?

[00:26:07]Somehow we're going to have to be able to find where these odds go and how to break them apart. It's going to be one of these cages.

[00:26:15]But we might just have to start putting some things in like we're seeing the fact that we got a seven and nine left over, but I don't know how great that is.

[00:26:22]We have a one five pair here as well we can work with, so let's just put things in.

[00:26:27]You will not be a one. One Oh, that means you're just a five.

[00:26:32]That was easy enough, which means you're not a five, neither are you, so one of those two will be.

[00:26:40]Can't say which one it is just yet though.

[00:26:44]They five then one of those two will be.

[00:26:46]Okay.

[00:26:48]>> [snorts] >> Uh, let's see. Do we get anything on you? We don't really have any odds looking into this area, so it's not a great uh place to look.

[00:26:59]Just trying to see if there's anything that's just a a given here before I start bulk inserting digits.

[00:27:07]Cuz really all we have Oh, nines. There we go. I did have to look at the nines.

[00:27:10]You will be a nine. That's now going to force this one to be that five.

[00:27:14]Which means you're not going to be which means you're not going to be a three.

[00:27:18]You have to be from 1 3 or 7. You can't be seven, so there's a seven up in this eight clue. So, you will be the 1 7. You will be the three.

[00:27:27]You will be the one.

[00:27:30]That'll force you to to be from 3 5 and 7. I don't see a correlation there just yet.

[00:27:40]You could be almost anything. Oh, the 1 5 is going to say you are the 7 1. So, let's put those in. No seven. No one.

[00:27:48]You one.

[00:27:50]Good. You're not ones, so you're not seven.

[00:27:54]That's a 1 5 pair. That's could be somewhat helpful.

[00:27:57]You have to be from what not 1 3 7 and 9. You're not nine.

[00:28:04]You're not nine, so you will be.

[00:28:07]That'll give us our seven finally. So, we can get back over to you and say you are also seven and nine.

[00:28:14]You will be a nine.

[00:28:17]Okay.

[00:28:18]Did that come down this way?

[00:28:22]What do we got with nines? One of those two and one of those two.

[00:28:27]It's not quite there. What about the ones? One of those two.

[00:28:35]One of these two.

[00:28:39]Oh, you. There it is. We It was the ones. I just had to go over here. You're a one, which means you're a one.

[00:28:45]This will be a 3 7 pair at some point, but I don't know what that does for me.

[00:28:52]Still one of those two, one of those two, one of those two. So, nothing more there yet. Let's put the 3-7 in.

[00:29:02]And might just have to go through the line.

[00:29:08]Oh, the three does see the 9-3.

[00:29:11]Put that in.

[00:29:12]That'll come back and give us a three.

[00:29:17]Okay.

[00:29:18]Does it give me more? Give me more? Or tell me more? Tell me more. Excuse me, I said that wrong.

[00:29:24]These are threes. One of those two is a three, so none of those are, so you will be. That means you have to be the 5-1-5.

[00:29:31]This will be the nine, you will be the seven.

[00:29:36]You will be a one.

[00:29:38]You won't.

[00:29:39]What will you be? You'll be seven.

[00:29:43]You will be five and seven, you will be one. You guys will not be sevens.

[00:29:49]You have to be three or five, so we're kind of just into now putting a bunch of digits in, see what comes out of them.

[00:29:56]Which is fine by me. Five goes to here, so you'll be three and five, you'll be seven and three, you'll be seven and three. We could have done that as well, but we got there just as well. Five and three, five.

[00:30:08]Now [snorts] it's just imprinting the last couple of digits. What are you two?

[00:30:12]We need a one, which goes here, and we need a three. You will be seven, you will be nine. There we go. Okay.

[00:30:19]You solved it. Not very well, but you solved it.

[00:30:22]Took 30 minutes. Uh it's like I said, this thing just came out, so 55 solves is typical.

[00:30:28]Um yeah, I've no idea what's going with my brain. I just couldn't count in multiple situations, like when I thought these were five um orange, they weren't.

[00:30:38]Found that out pretty quickly.

[00:30:40]Uh these guys were not both evens because they were both these guys were not [laughter] both evens because they were both odds. Found that out after a second.

[00:30:52]Can't think properly right now. Uh, anyway.

[00:30:56]Hopefully some of the other puzzles I post this week will be better than that.

[00:31:00]But anyway, uh, it was very fun puzzle.

[00:31:02]Don't mind the the brain farts and the normal meanness. This is why you watch this channel, right? To see me be uh, a bit idiotic at times.

[00:31:11]But anyway, uh, fun puzzle. Hope you all enjoyed this one. I really did and we will see you next time. Thanks a lot.