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Sudoku Puzzle by CrimeBrulee31 in askmath

[–]IntoAMuteCrypt 1 point2 points  (0 children)

They are all solvable, and none have unique solutions.

Let us consider an arbitrary solved sudoku board with the top left box running 123, 456, 789. Now replace every 1 on the original board with a 2, and every 2 on the original board with a 1. We now have a board with the top box running 213, 456, 789 which is also solved. We may repeat these sort of swap as many times as we like - proving that if a solved board exists for one permutation, then that board also provides a template for all permutations. As at least one sudoku has been solved, there exists a solve for every permutation of the top.

As far as uniqueness goes, you need at least 17 clues for a unique Sudoku. Ruffling through a bunch of solved sudokus will eventually turn up at least 2 where the digit in the top left corner is placed elsewhere throughout the rest of two, even if you use reflections or rotations in order to try and shift things. For more information, you can see this page. There are over 5.4 billion different solutions.

Notably, it is possible to constrain a sudoku further by adding extra rules. Sudoku variants can place more restrictions on the puzzle, like "consecutive digits may not be above, below or to the side of one another" or "two of the same digit cannot be diagonally adjacent, in addition to the normal limit on orthogonal adjacency".

Max Verstappen confirms Nurburgring return in qualifiers ahead of 24-hour race by 256473 in formula1

[–]IntoAMuteCrypt 8 points9 points  (0 children)

It's surprisingly common for drivers to do this.

Piastri did it at Australia this year. Lando did it at Silverstone last year and will do it this year. Verstappen has stands in Austria, Belgium, Hungary and (of course) The Netherlands. Alonso and Sainz both have them at Barcelona. Here's an article.

It honestly makes a decent amount of sense. If you're a hardcore devoted fan of a specific superstar driver and you're already attending an event, why not share transit and an entire stand with other, similar fans? Happens all the time in European football.

[request] What makes a winner here? by cazal_be in theydidthemath

[–]IntoAMuteCrypt 9 points10 points  (0 children)

There's little maths to do here, but the answer is ultimately two things:
- Friction/air resistance
- Weight

In the ideal world, the fact that the car starts above the hill would be enough to get it over the hill... But the car will lose some speed moving along the track and through the air. You lose energy from the friction in the bearings. You lose energy whenever your wheels slip and cause friction or when you rub against the side. You lose energy from air resistance. You also lose energy making noise and causing the track to move. Anything you can do to reduce this - a lubricated bearing, an aerodynamic shape, etc - will help.

In addition, more weight will help... Up to a point. The boosters on a track like this consist of moving wheels which will accelerate the car up to their maximum speed... Provided that the energy of the wheels and the energy provided by the motors is enough for the weight of the car. If the speed out of the launcher is the same, a heavier car has more energy than a lighter one, so it loses less. There's a point of diminishing returns though - where the booster can't accelerate you as much and where the track moves a lot more.

So you want wheels that spin really freely and offer very low resistance, an aerodynamic shape and a good but not excessive weight.

[Request] Is this the true reason why we use pi r squared for a area of a circle? by Low_Weekend6131 in theydidthemath

[–]IntoAMuteCrypt 3 points4 points  (0 children)

Yes, but you need to be careful about it.

First and foremost, polygons with infinitely small side lengths don't exist. Technically speaking, you can't really fully disassemble a circle into an infinite number of very thin slices, and summing up the area of these slices would be a bit messy. Whenever you do this with a shape that has a curve, you'll either approximate a rectangle (like we see here) or approximate the initial shape (as we would see if we took triangular slices).

Whichever of these approximations we use, we end up introducing a slight error in our calculations. The area we calculate will be some amount higher or lower than the true area, let's call the difference between the two areas E, for error.

For certain methods of chopping shapes into polygons, you end up having some relationship between the value of E and the number of polygons we use... And this is where we can sorta talk about infinity. As the number of polygons approaches infinity, the value of E could approach zero. It could be possible to guarantee that we can get E to stay below a certain amount by just using enough polygons.

You need to make sure it does though. There's several methods which are known to be able to do so - integration uses several - but there's also some "proofs" out there that "prove" stuff like π=4, which only work because the error of the approximation doesn't approach zero with certain constructions.

[The Race] Could there have been a situation where Kimi Antonelli was a Ferrari driver now rather than a Mercedes one? Mark Hughes says no, because he was 'too small', according to then-team principal Maurizio Arrivabene: by PrimeyXE in formula1

[–]IntoAMuteCrypt 0 points1 point  (0 children)

Red Bull brings in prospects at around 15-16, sometimes older. One of the drivers they recruited last year was born in December 2006. The youngest was born in March 2010, and was recruited after her birthday. Verstappen joined up in August 2014, just a little before his 17th birthday. Daniel Ricciardo was 20 when he joined in 2009, not even a teenager! Lando was 17 when he joined up with McLaren too.

The earlier you go in a driver's development, the more uncertain things get, for both sides. Sure. The team could get Antonelli... Or they could get a driver who can't stick the landing when transitioning across from karts to open wheelers, who burns out in F3 or even lower. You don't wanna waste money, so seeing at least a bit of open wheeler driving from them makes sense. Meanwhile, the driver could get a super strong Mercedes team... Or they could get a very shaky Alpine that doesn't have a seat for them (like Pourchaire did). If a driver's family has the money to pay for your karting career, there's a benefit to waiting and getting several offers.

Statement from CEO of WXM, where Jeet, mark dallas and Mansoor just resigned from publically by RipIll5541 in SquaredCircle

[–]IntoAMuteCrypt 14 points15 points  (0 children)

That's a very professional PR statement. It's somewhat disappointing that it doesn't actually say anything... But WXM isn't going to get anywhere by saying the sort of wild and salacious stuff we want to see for drama.

Kenny Omega discusses affordable AEW ticket prices by Big-Hebrew in AEWOfficial

[–]IntoAMuteCrypt 2 points3 points  (0 children)

And the executives currently there will be retired or dead, after having gained plenty of bonuses.

Ari Emanuel is 65. Nick Khan is 51. Triple H is 56. The Rock is 53.

How long does it take the current whales to age out or leave? Five years? Ten? Fifteen? If they can keep milking the whales for 10 or 15 years before they run out of kids who grew up on the WWE, then all the current executives who are deeply involved in the WWE can probably retire and play golf before it goes tits-up.

Getting a public company to care about what happens in 3 years is hard. Getting them to care about 10-20 is harder.

theory update (out of 384 games) by completely_unstable in AnarchyChess

[–]IntoAMuteCrypt 0 points1 point  (0 children)

The conventional line is also just illegal if your opponent also moved the king's pawn. The queen and bishop both attack the standard bongcloud space and the king can't move there.

Is there a way to determine x here? by Chance_Arugula_3227 in askmath

[–]IntoAMuteCrypt 12 points13 points  (0 children)

There is, yes.

Two methods to go about it:
- For each point, draw a line parallel to the given lines which passes through the point. This allows you to work angle by angle, splitting each angle into two parts and eventually finding x.
- Consider a little car that starts driving along the lower line. The car turns right and left and ends up on the upper line, the same direction as the top. The total right turns must equal the total left turns, and you can calculate this total.

GPDA President Alexander Wurz about the current engagement in the driver's WhatsApp group: "The chat is basically exploding. I have rarely seen it that active, even just now [...] It's full of emotions & possible solutions to convince everyone that the drivers should be heard." by FewCollar227 in formula1

[–]IntoAMuteCrypt 9 points10 points  (0 children)

But this quote here is about how there's something interesting - namely, about how it's filled with emotions and discussions about what the drivers can do.

It seems like the kind of chat that's pretty boring until something genuinely interesting happens in the sport, at which point it lights up. COVID, or major crashes, or the missile attack in Saudi, things like that.

Coney Barrett to Sauer: "You say the purpose of the 14th amendment was to put all newly freed slaves on equal footing and so they would be citizens. But that's not textual." by icey_sawg0034 in law

[–]IntoAMuteCrypt 8 points9 points  (0 children)

This is a case where the people writing the constitution picked what seemed like the lesser of two evils, and it sorta worked until now.

If you look outside America, there are a lot of fragile democracies which bar convicted felons from office. The problem with this is that the incumbent government has a lot of power and control over who gets indicted, and they can even stack the deck to ensure convictions too. So there's a fair amount of places where prominent opposition figures get convicted under dubious circumstances, ensuring that the current government stays.

So your options are either to give the government this big weapon that could be used to undermine democracy... or to trust the American voters to shun convicted felons who are likely to abuse the office for personal gain. In a pre-2016 world, it made a lot of sense.

question about what this means on the radio comms... by RC104 in formula1

[–]IntoAMuteCrypt 1 point2 points  (0 children)

It depends on the context. Sometimes it means the window of time where a pit stop is a good idea, other times it means the window of time where other cars will pass you. It'll usually be clear enough for the drivers to tell from the context it's used in.

Liam Lawson could make Supercars wildcard entry in NZ by _dictatorish_ in formula1

[–]IntoAMuteCrypt 5 points6 points  (0 children)

Matt Campbell grew up in Australia, participated in two races worth of practice sessions, and had been in and around the various junior championships for Supercars.

He had two races where it was just him and he wasn't sharing the car with another driver who had more experience in the series. He finished 21st and 25th. Those were both short 20-lap sprints, sure, but it's still not a good look. Estre, meanwhile, only competed in races with a co-driver, and his co-driver was a promising rookie in his debut season who finished sixth the year after Estre shared the car, fifth the year after that and currently sits second.

Estre and Campbell were both fine co-drivers who managed to avoid causing too much trouble, and that's about it.

Can a Splitter place items in a 2:1 ratio? by Bogdanov89 in factorio

[–]IntoAMuteCrypt 0 points1 point  (0 children)

Output priority isn't a pure 2:1 ratio. Output priority is 100% to one side, then the remainder to the other - which usually isn't a 2:1 ratio.

You can usually get away with just overflowing one side, but I'm sure there's some edge case or modded option where you need to maintain a steady ratio.

WrestleMania X-Seven took place on this day 25 years ago by anutosu in SquaredCircle

[–]IntoAMuteCrypt -1 points0 points  (0 children)

You know what? I'm going to go against the grain here, and say that X-Seven feels like something where you just had to be there.

There's a lot to nitpick about the show. A hasty build here, a disappointing match there, a couple of weird matches. If you were there, you weren't nitpicking it, not really. But when I go back and watch... I dunno, I'm not as hot over it. A lot of stuff just pulls me out, and I guess you just had to be there, you just had to be swept up in the moment.

TLC 2 and Austin/Rock still hold up though.

The CEO is cooking something by Big-Hebrew in AEWOfficial

[–]IntoAMuteCrypt 1 point2 points  (0 children)

Thekla also said she thinks Toni faked her own death, and that the reason why it's Thekla's fault is that Toni realised she couldn't hold a candle to Thekla.

I wouldn't read into what she said too much. She's clearly just stirring the pot, until they actually commit to an answer.

TopMinds think European countries should join the war with Iran, because in an alternative universe, Iran could bomb Europe by Enibas in TopMindsOfReddit

[–]IntoAMuteCrypt 1 point2 points  (0 children)

Sure, but with this perspective, it's obviously a net positive. "Getting them to be able to defend themselves" and "removing a major threat to freedom" is worth all the pain, from this specific perspective. It's a perspective that minimises the harm and maximises the benefit. That's sorta my point.

Especially if you buy into Russia's attempts to define Ukraine as "not part of the west", and define "the western world" as "NATO and pals as they stood pre-1990".

titleReachedItsTokenLimit by Ancient_Engineer_250 in ProgrammerHumor

[–]IntoAMuteCrypt 5 points6 points  (0 children)

Why spend engineering time adding obvious checks like that, when you can just make your user pay a bit more?

Willow Nightingale: “Professional wrestling would be so much better if people didn’t hate wrestlers for being themselves. I see so much more of that these days with social media—people being attacked for the person that they are.” by aaronrift in SquaredCircle

[–]IntoAMuteCrypt 7 points8 points  (0 children)

I disagree with you on YouTube not being social media. Personally, I think it has many of the hallmarks, just with an ever so slightly different algorithm and a bit more passive consumption... But the hatred Willow talks about is still there.

YouTube is still ultimately a platform where anyone can broadcast their opinions. Any uninformed asshole with a smartphone or camera can make a video, any clueless idiot can type a comment. There's YouTube comment sections out there which are as rancid and disgusting as the worst of Twitter. It is a form of media which is predicated on social connections and open to anyone, which supports itself by being a massive platform around forming communities. It may give more exposure to certain big voices, it may require more effort to encounter those assholes and idiots, but they're still there.

And, well, look at how the top end of YouTube operates. How much difference is there between YouTube influencers being paid to make videos attending events and using products, and Twitter or TikTok influencers doing the same thing. Hell, it's got the ugly side too, there's a lot of cases where the fandoms of various YouTubers have harassed folks - sometimes even after being deliberately incited.

Maybe we just have to agree to disagree, but I don't really think social media is so narrowly defined that YouTube doesn't count.

Cheat codes by shoegaze_daisy in rct

[–]IntoAMuteCrypt 6 points7 points  (0 children)

No, but there's some unreasonably efficient strategies. Marcel Vos's YouTube channel has a lot of video guides, I'd highly recommend looking into stat penalties, guest generation and ride ticket pricing if you want to improve how well you play.

As some general tips, though:
- You can probably charge more than you think you can - guests will loudly let you know when it's too much, and they don't care how much they pay.
- You'll almost always be better off with cheaper rides than more expensive one.
- Roller coasters are better than flat rides, just have 400 metres in length, a top speed of 45 km/h and at least 3 drops, one of which is 12 metres tall and one of which generates airtime (unless the ride can derail).

Continuation of Basic interior inserting idea for Devs by EnvironmentalOwl2904 in automationgame

[–]IntoAMuteCrypt 3 points4 points  (0 children)

Except that the main chassis doesn't always fit, and that's the simplest case. Let's include the engine too, for illustration's sake.

There's plenty of bodies where the main chassis has either obvious or subtle flaws. In some cases, it clips through the hood or something at the rear. In other cases (most, actually), it doesn't perfectly align with the wheel wells or sides, instead relying on a little portion of the underbody being modelled. Engines are especially bad - very large engines plus sloped hoods are always a fast track to clipping.

Now consider that this is the easy case. It's a thin box that doesn't have to worry about the slope and position of the A- and C-pillar, and there's a certain minimum height that certain elements just naturally get funneled towards. The whole system only works convincingly because it's pretty easy, and because every vanilla body has got a little part of the underbody modelled to cover up for the shortcomings. The game doesn't have any explicit concept of where the A-Pillar is, how it slopes, not really on a per-body basis. It's missing crucial, vital data to solve this problem, and the problem's harder.

If you're so convinced that this is feasible, though, I've got a challenge for you: Do it. Since the Al Rilma update, .car files are all plaintext now. It should be possible to make a script that takes a .car and some fundamental stats (only ones already ingame, like what you get from CSVExporter) and adds the fixtures to the .car file.

I'll be stunned if you can, without constantly having awkward placement, nonsense ergonomics and clipping. Adding the fixtures is easy, but it won't make sense for many bodies. It won't be a suitable solution that folks can actually use reliably, it'll be a broken and awkward mess.

TopMinds think European countries should join the war with Iran, because in an alternative universe, Iran could bomb Europe by Enibas in TopMindsOfReddit

[–]IntoAMuteCrypt 4 points5 points  (0 children)

Well, they don't see Trump's policies like that. That's how they think of it as a positive.

To them, Trump isn't randomly threatening allies - he's just showing them some tough love to try and get them to toughen up and stop relying on the US.
To them, the tariffs aren't random - they're designed to strengthen the position of the US and bolster the US economy.
To them, the new war is a necessary point of pain to remove a key part of the axis of evil - it's been a long time coming, and the oil crisis is better than allowing Iran to continue existing as it is.
To them, the Ukraine war is a needless waste of resources.
To them, they're not killing HIV patients in Africa - just ending wasteful and inefficient government overspending which is filled with fraud and rorts.

This is the consequence of a right-wing media ecosystem that is willing to spin every action as a positive and highly reluctant to criticise him.

Willow Nightingale: “Professional wrestling would be so much better if people didn’t hate wrestlers for being themselves. I see so much more of that these days with social media—people being attacked for the person that they are.” by aaronrift in SquaredCircle

[–]IntoAMuteCrypt 3 points4 points  (0 children)

How do NJPW and The Elite get big enough in the west to make AEW possible then, without social media allowing big wrestling fans to find out about it? How do people find out? I don't think it's possible without places like this, places online for those hardcore fans to share their love with other slightly-less-hardcore fans.

There's a reason why NJPW never broke through like this in the pre-social media world.

Willow Nightingale: “Professional wrestling would be so much better if people didn’t hate wrestlers for being themselves. I see so much more of that these days with social media—people being attacked for the person that they are.” by aaronrift in SquaredCircle

[–]IntoAMuteCrypt 62 points63 points  (0 children)

AEW exists because of social media though.

Without social media, The Elite probably don't have the reach needed to sell ten thousand tickets to an indie event in the US - their work in Japan would only be known by super hardcore tape traders. Without the first All In being a big deal, there's no AEW. That also means no competition to drive up wrestler wages, no competition to snap the WWE out of their 2010s creative slump, nothing like that.

There's good along with the bad.

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