The Proof Of Induction

** TODAY'S PUZZLE **
Simon dares to attempt a new Phistomefel puzzle, Induction, even in his Covid-addled state. This is a very beautiful and strange sudoku which makes a mockery of intuition!!
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Rules:
Normal sudoku rules apply. Adjacent digits along a green line must have a difference of at least 5. Orthogonally adjacent cells may not contain consecutive digits.
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[@elfuego51]

Pretty cool that Simon records these from an air traffic control tower.

[@IncinX]

This video was outrageous for airplanes. There were at least 40.

[@troydunn8463]

​@IncinX, I am starting to think Simon is the Air Controller. He took a Sudoku/Tea break, and the planes didn't have anyone to guide them in. ")

[@arekfu1980]

Electrical induction is when current in a circuit induces current in another circuit, without any electrical contact. Kind of what happens with the horseshoes!

[@welcomeblack]

Or inducing charges from a distance

[@bobblebardsley]

I love how many different explanations there are for the title of this one, seems like everyone has a different opinion on what it means. My first thought was mathematical induction but I'm increasingly convinced it's electromagnetic induction, like the adjacent coils in a step-down transformer. The way the rules combine so that the horseshoe in one box influences the polarity of the horseshoe in the adjacent box, and how that propagates around the grid, feels in step with the principle. (As an interesting aside, the first electromagnets in the 1820s-30s used horseshoe-shaped iron cores, so this would be historically accurate too!)

[@inspiringsand123]

Rules: 04:29 Let's Get Cracking: 06:10 Simon's time: 1h2m46s Puzzle Solved: 1:08:56 What about this video's Top Tier Simarkisms?! Phistomefel: 6x (04:26, 06:33, 22:30, 56:32, 58:06, 58:08) Maverick: 3x (13:18, 28:33, 28:39) The Secret: 3x (07:14, 07:14, 07:25) Three In the Corner: 2x (1:02:13, 1:04:31) Bobbins: 1x (19:04) And how about this video's Simarkisms?! Ah: 11x (13:27, 18:59, 28:42, 32:20, 51:48, 58:02, 58:04, 59:11, 1:05:03, 1:05:26, 1:05:42) Wow: 9x (09:09, 09:22, 22:24, 22:27, 31:22, 33:53, 46:34, 48:15, 56:24) In Fact: 8x (20:21, 21:58, 33:26, 36:43, 40:46, 43:15, 45:16, 1:02:06) By Sudoku: 7x (23:18, 23:20, 44:29, 49:48, 1:05:48, 1:07:41, 1:08:38) Obviously: 7x (05:34, 05:41, 05:53, 08:18, 16:54, 28:31, 54:18) Beautiful: 6x (25:48, 43:24, 43:24, 44:14, 1:09:09, 1:09:52) Sorry: 5x (01:28, 19:04, 28:29, 42:18, 1:10:02) The Answer is: 4x (18:28, 19:41, 23:53, 37:06) Clever: 4x (22:24, 35:09, 1:08:56, 1:09:00) Hang On: 4x (25:12, 37:54, 52:43, 1:00:10) Pencil Mark/mark: 4x (11:43, 31:11, 46:19, 1:00:10) Good Grief: 3x (33:28, 46:08, 1:04:09) Goodness: 2x (52:58, 1:08:56) Lovely: 2x (02:08, 45:16) Deadly Pattern: 2x (1:07:06, 1:07:09) Corollary: 2x (10:21, 15:01) Alexa: 2x (06:14, 06:18) Progress: 2x (27:16, 27:45) Have a Think: 2x (08:51, 36:51) Nature: 2x (19:28, 19:47) Cake!: 2x (02:23, 02:54) What on Earth: 1x (48:17) Useless: 1x (1:04:50) Naughty: 1x (1:04:25) I Have no Clue: 1x (28:17) Brilliant: 1x (03:36) Break the Puzzle: 1x (19:54) Incredible: 1x (02:48) Ridiculous: 1x (16:37) Play Gooseberry: 1x (1:05:05) Gooseberry: 1x (1:04:25) Shouting: 1x (02:50) Approachable: 1x (03:53) Surely: 1x (21:38) Think Harder: 1x (36:51) Doesn't get a Song: 1x (43:28) Whoopsie: 1x (47:46) We Can Do Better Than That: 1x (46:45) Plonk: 1x (42:39) Paroxysm: 1x (56:27) Most popular digit and colour this video: One (130 mentions) Purple (15 mentions) Antithesis Battles: Low (29) - High (28) Even (6) - Odd (3) Row (17) - Column (14) FAQ: Q1: You missed something! A1: That could very well be the case! Human speech can be hard to understand for computers like me! Point out the ones that I missed and maybe I'll learn! Q2: Can you do this for another channel? A2: I've been thinking about that and wrote some code to make that possible. Let me know which channel you think would be a good fit!

[@fulltimeslackerii8229]

these bot comments are getting bloated with things that aren’t simarkismsx

[@CISMarinho]

Definitely the bot missed the “three in the corner”

[@thundermill7109]

@@CISMarinho it does list threes in the corner near the top.

[@Antiknight]

I solved this puzzle a week ago and wondered when would Simon solve it because it's an amazing puzzle from Phistomefel as usual. I'm excited to see how Simon tackled this since it has a lot of tricky deductions :)

[@ellathompson3090]

i think you mean tricky inductions :)

[@Francisco-bu9ew]

I like to congratulate you Simon for this solves despite the covid, since it not only has a physical but huge mental impact, and you being able to focus on hard sudokus while being sick is really admirable. You have become a great inspiration since I started watching the channel, thank you for that!

[@tywad8697]

Well a proof by induction in Maths is very much about consecutive digits or an arithmetic sequence of digits, so it’s not *impossible* that this is what Phistomefel was referring to. In physics if I recall correctly induction refers to electromagnetic fields so if anyone can see a link there that would interesting. EDIT: After thinking about it, Simon essentially had to sequentially prove that the horse shoes had non aligning polarities with the polarities already having some type of proof on them, which is a mathematical proof by induction. But the non aligning polarities in themselves could be a reference to changing polarities between magnets. All in all, a very clever name by a very clever setter.

[@mmmtastyalidzie2435]

i only have gcse level physics under my belt so this may not be the greatest explanation, but EM induction occurs when the magnetic field lines rapidly swap direction/field lines are rapidly cut. since i cant see how the latter works here, i believe it could be referring to how the polarity of the numbers on the green lines rapidly goes back and forth due to the constraint?

[@killamoosdraree730]

The title of the puzzle is indeed I think the primary clue for how to break in. Because we always refer to polarities in German whisper lines, this gives them a magnetic reference. The necessity for the changing of polarities between the "magnets" in the boxes can be intuited by the term induction which in physics implies varying magnetic fields.

[@thomasbui6175]

I believe it is the maths version because he uses the orientation of one horseshoe to determine the next one at a time. kinda like knocking a domino in math induction proofs. But I guess, the horseshoes also kinda look like an induction stove

[@BookofAeons]

A positive electric field placed next to a conductor will induce a negative electric field in the surface of that conductor, and vice versa. I believe it's a reference to the polarity swapping between the nearby horseshoes.

[@GregJonson]

I'm a simple man. I see a Phistomefel puzzle, I cry for hours.

[@Censeo]

All white dots are given =D

[@alfredeinstein115]

I watch this channel since spring 2020 and today is the day, I managed to solve a Phistomephel puzzle! Thank you Simon and Mark for all this

[@Akatsuki69387]

Have you managed to solve any of his puzzles since then?

[@th.nd.r]

That was beautiful, well done again both Phistomefel and Simon. Every step was beautiful, and I’m grateful Simon went to task uncovering every step to make sure the solve was as satisfying as possible.

[@dezamraz]

What a coincidence that this puzzle is called the proof of induction and you did a video on it today, and I have an exam tomorrow (in 12 hours) for my philosophy of science and rationality of science finals, where the problem of induction is one of the main subjects! My brain is trembling 😵 Anyways, I really love your videos and I look forward to them every day! Hope you get well soon

[@mmmtastyalidzie2435]

good luck!

[@britlion]

Hope it goes well.

[@smylesg]

7:00 Sounds like Maverick is about to fly into your attic window.

[@thefallenarm589]

Another way of telling the second rule could have been :" White dots separate two consecutive digits. All white dots are given." I find it more elegant.

[@rosiefay7283]

But you have to say where those consecutive numbers are. You could say "A white dot marks every pair of adjacent cells containing consecutive numbers". The word *every* means that the extra sentence "All white dots are given" is not needed.

[@emilywilliams3237]

Phistomefel puzzle drops an hour before we are having company for dinner ... so I have to wait until nearly bedtime! This was very interesting. I actually had the hubris to download it and fiddle around with the logic surrounding the horseshoe shaped lines. I got that they could not be all high going straight down column 8, and got a little bit of a glimmer of an idea about how the non-consecutive part might work, and even took a stab at box 7 - but then I decided that I wanted to watch a brilliant man solve it, so I turned the video back on. Simon, very elegant. I know that some people (including yourself) feel that you were doing too much brute force and not enough logic in box 7, but for me, it seemed more like a continuation of your understanding how the interaction of the rules worked, not simply following a long chain that had its root in bifurcation. At least, I will assert that if you had not followed the two possibilities, I would not have fully understood why one possibility broke the puzzle and the other one was the correct one. I also very much like the plural of "apex," which is indeed "apices" - analogous to the plural of "Index" which is "indices." Wonderful word formation, isn't it. Thanks so much for a lovely evening watching a brilliant puzzle be solved. I loved it.

[@eridanuskelpi3908]

Dear Emily, I really enjoyed reading your comment. Somehow your English is serenely articulated and your phrasing puts a smile on my face. I hope you have an equally as great time as I do with CtC😊👋

[@eridanuskelpi3908]

Maybe I'm just too regularly confronted with bad German Business-English, which is deprived of any linguistic finesse and usually quite wrong 🤭🤐

[@emilywilliams3237]

@@eridanuskelpi3908 Wow! thank you so much for the compliment!

[@longwaytotipperary]

Watching Simon enthusiastically matching wits with Phistomefel makes everything right with the world!!

[@crystalgehrt8861]

The title provided a good clue, and I felt like an investigator solving a mystery! Phistomefel is a genius, as always.

[@rizka7945]

Those four diamonds form a pattern which resembles a kitchen stove. It could be the reason why it's called Induction as modern stoves tend to work by induction.

[@killamoosdraree730]

This puzzle was very amusing for me. I love the title which I found to be extremely intuitive towards the solve due to what induction means in both Mathematics and Physics. Also, if you were able to solve this puzzle, it's like being inducted into some sort of Sudoku "Hall of Fame". It induces a feeling of pride having been able to solve it myself. Thank you so much!

[@onijester56]

Also, there's Inductive Reasoning...where you take a specific case (say, one horseshoe) and apply your analysis of it broadly (say, to the other horseshoes). Which applies for determining the relative polarities of the horseshoes as well as the prohibition of "N, N+2" pairs of the same polarity on the horseshoe.

[@piarittersporn]

A really great puzzle. After a restart I did it in 84 minutes and enjoyed it very very much. When I first started, I wasn't fully aware of the meaning of the given 2 and 9.

[@ericpraline1302]

Lovely stuff as ever from Phistomefel, and not as hard as I was expecting. I guess some puzzles play to one's strengths, such as they are!

[@edwardhughes-daeth9024]

Glad to see KZbin app bug fixed! Ready to settle in for an exciting and I am sure enthralling Phistomefel puzzle 🎉

[@parkerbond9400]

I don't think I would have been able to determine the polarity by myself, but once Simon figured out the polarity of all the lines it was a very beautiful and fun to solve puzzle.

[@jukmifggugghposer]

And to think I just rewatched that original Miracle Sudoku video. Looking forward to seeing this solve, knowing Phistomefel it'll be great

[@ukdavepianoman]

Another remarkable construction by Phistomefel. What is so amazing about Phistomefel's puzzles is this sense of discovery, discovering some mathematical truth using one or two very easy rulesets. The finished article is like a work of art.

[@robincoppock4679]

usually i can follow along with your logic pretty easily as you explain it, but this one went entirely over my head. suppose i'll need to keep watching the channel and learning

[@PY11235]

I loved this puzzle, such a satisfying solve, and really clever logic to fit all the different parts together

[@cyclopsboi]

That was a good logic train, I feel like there is a good bit of interaction that is forced by central square restrictions and the non consecutive constraint

[@darklord2355]

I loved your integrity with restraining from the chaining reduction with 4 5 and 7s Awesome solve

[@spudd86]

@32:00 you can eliminate things from r2c8, it can at this point never be 6 since either the two high digits on the horseshoe are 78 and so it can't be next to the 7 or one of the digits on the horseshoe is 6 and again the centre can't be 6. Similar logic around 1 and 2 allows you to also eliminate 1 from r2c8 so it's down to 4 or 5.

[@Coyotek4]

56:44 ... my sanity has been retained, for at least another Phistomefel sudoku. Simply incredible!

[@danielwcrompton]

I got 2 digits in 10 minutes, then I realized I broke the puzzle as I hadn't understood the horseshoe yet 😂 Great puzzle!

[@williamnathanael412]

I can guess the two digits you got: 2 and 9.

[@fulltimeslackerii8229]

@@williamnathanael412 LOOL

[@johabee]

@41:21 An easier deduction: the 7 cannot be in R9C2, because that would make R8C1 and R8C2 1 and 3, which makes it impossible to place 2 in the box.

[@TheFreeBro]

Simon you have to play “the looker” it is a parody of the witness and I think you two would love it. It would be hilarious to watch you two

[@joebesko5592]

Wow, that was amazing! Thanks for the solve *and* the Air Show! The only thing missing was some guitar playing by Simon!

[@jessevennard2640]

I see I’m not the only one who always has to puzzles.

[@Deadator]

At a point one learns to instantly click on a video with the devil in the thumbnail, knowing you're getting a real banger

[@gregind01]

Simon it's great to see that you are feeling well enough to even attempt a Phistomefel puzzle, AND your brain is functioning well enough to be able to solve it!

[@LittleBallOfPurr]

Hey Alexa! Nice to hear from you, hope you're well!

[@kathyjohnson2043]

Loved the logic of this puzzle but I could not have begun it on my own.

[@Anne_Mahoney]

Made popcorn, broke out the fancy Himalayan pink salt, and settled in -- nice puzzle, nice solve.

[@penningmeestercgkdelft9159]

A stunning puzzle again, though this one feels a bit Unphistomefellian to me... Very well done, Simon :-) By the way: at 56:30 you could have perfectly filled in the 4 in r2c8... that would not have been bifurcation at all, it was just a bent quintuple ;-)

[@aquaticIntrovert]

I felt that way as well. I feel like he usually likes his to flow more elegantly, but this one seemed like it needed a whole lot more of just brute force pencil-making every option to notice when cells were more restricted than they seemed at first glance. It's an interesting idea for an interaction of rules but I almost wonder if Phistomefel is 100% happy with how this one turned out after it came together.

[@thomasbui6175]

I realize that we would go through phases that really follow one kinda of variant for a while. Like recently, Simon has been doing a lot of German Whispers in Sudoku.

[@chipsounder4633]

Brilliant

[@pm1248]

"Alexa - solve the puzzle!."

[@isavedtheuniverse]

Simon: come on brain. Brain you're useless. Me: lol, simon's gone mad Me: Simon's talking to his brain Me: wait, who is talking to what? Me: Simon's talking to his...other brain? ARGH!! Simon has 2 brains, thats why he always figures these out faster than me.

[@Foxyjosh]

Tell alexa to divide something by zero. LOL

[@ChrisWCorp]

Happy Birthday Maverick!

[@LiquorStoreJon]

Popping Popcorn, getting settled in, and Let's Get Cracking!

[@georgelane6350]

wow, that was a tricky puzzle. I knew where to look but really struggled on how to actually look at that spot!

[@Coldsuu]

A fairly easy trick that I learned through the miracle sudoku app and doing tons of non-consecutive puzzles is to do with cell options, and it let me see how to break box 7 much earlier, if you ever narrow a cell down to consecutive digits, it restricts all of the cells around it, if you get down to 3 consecutive options, every adjacent cell cannot be the middle digit, once I got 8 forced up in the corner and saw the 123 next to it I knew 2 would have to go in the top right cell and break the box, that's how I saw it anyway. Another quick trick is that if you ever get a cell down to 2 consecutive digits, none of the adjacent cells can be either of those digits, because it would repeat or be consecutive.

[@DrDsHere]

Each discovery induces a new discovery in another box.

[@In.New.York.I.Milly.Rock.]

It's a bit weird how jolly it makes me to see the devil sitting in his chair on a nice afternoon.

[@HunterJE]

32:52 If pink are low and therefore 13, you know the order - the 3 can't be in r9c3 because the two cells flanking it are adjacent and so cannot be 89.

[@HunterJE]

Also on the other hypo you can fill the boxes selected around 36:40 -- the one with the 8 has to be 123 while the one with the 7 has to be 12, which means neither can have a 2 without adjacency problems, forcing a 1-3 fill (which would save a small step later in proving that version impossible) :edit: Ah he sees this when he re-works that bit to check himself

[@shellmichael9665]

Simon is phistomefel. I’m calling it now

[@jameshowell7178]

I think Alexa activated on "plAY, LETS get cracking" but it's pretty funny when something you say every video causes a disturbance in the video too

[@shalaz1981]

I’m so glad this wasn’t yesterday’s puzzle. I’d have hated to have YT mess up a Phistomefel puzzle. 🍿🍿🍿

[@gonzodpc]

Feel better, Simon!

[@maralenenok]

Heh, tough crowd today. I had covid earlier this month and all I did was watch the Obi-Wan show. This entire puzzle was way over my head but it was cool to watch the solve!

[@britlion]

Loved the puzzle! And brilliant work by you Simon. I couldn't solve it, and I don't have covid. You are a genius, and we love seeing you gently follow the string of connections. BUT WOW HOW MANY PLANES??? #badmaverick Do you think something like krisp or another ai noise remover would de-maverick your audio?

[@nickburton5871]

At 49 minutes (and earlier) r5 c6 can't be a 6 or (in my best Simon voice) "Where does the 5 go in row 5?" That has implications for other numbers in box 6. I couldn't have found the break-in, but I'm encouraged to be finding other wheezes. All down to your tuition, Simon!

[@nickburton5871]

Ah! Which Simon saw at 52 minutes!

[@veeztur]

It is very likely to be connected to the physics/eletromagnetic meaning because I see a lot of similarities! Electromagnetic induction is a phenomenon in which electromotoric force is being made which creates a current. Now about similarities: 1. The current that is being created is AC, which oscilates between negative and positive value 2. Electromotoric force is being made due to magnetic field changing, so it oscilates as well 3. The shape that you called horseshoe, i think night be a coil as well and that would make sense because coil is essential thing in induction along with magnetic field

[@Jablicek]

Simon, huge thanks for the shoutout to Wisekik for his birthday this week

[@ImaginaryMdA]

This was wild, the adjacency constraint was so difficult to work with.

[@fulltimeslackerii8229]

i think what would have helped simon with this solve is realizing that certain combinations of cells always eliminate an orthogonal neighbor, for example: at 30:08 there are a few deduction. the 12 blue cell in box 3 eliminates a 1 from the center of the box. in box 3 as well, you have a 678 and a 78. so if there’s no 6, you have a 78 pair which eliminates 6 from the center cell, or you have 6 with a 78 and that still eliminates 6.

[@coralfeatherstone7019]

I loved the fact that you dumped the chain logic and went looking for a cleaner more elegant solve path. I hope you get over your Covid and feel better soon.

[@rosiefay7283]

Simon, I admire your stamina and patience, having to deal with Covid, a devilishly hard Phistomefel puzzle, and Maverick flying his fighter jet past your window.

[@andrewcook8093]

I observed that within each polarity of digits in a horseshoe there’s a sort of parity principal. So the high and low digits can never be one apart so they must have opposite parity to one another. A bit like two electrons in the same orbital must have opposite spin. I’m not sure if that has anything to do with electrical induction though. And although it helped my in the puzzle I still couldn’t solve it without Simon telling me where to look next several times.

[@bradmccallum1]

I kept screaming "row 8, column 7" for the longest time lol

[@oak3001]

I got a real craving for Battenburg cake during the beginning of this video...

[@jeffreyvannieuwkoop6809]

I would love a slyscabber puzzle again.

[@Hubcat_]

Fun fact: the chances of getting a 3 in at least one corner in a random sudoku (that follows normal sudoku rules/doesn't favor any numbers over others in the corners) is 41.326%. I would explain my math but I'm on mobile atm and don't want to type it all out on the phone screen, I basically just got the total number of possible corner digit combinations under sudoku rules and the number of possible corner digit combinations without 3 under sudoku rules then just subtracted and divided to get the ratio (has 3 in the corner):(possible combos)

[@HamsterSauce]

I wish I could just have a lunch with Phistomefel.

[@logiciananimal]

I thought that the title of this one was from the fact that Sudoku is purely deductive, the traditional opposite of induction. (I think that "induction" us actually a grab bag of argument forms, following Peirce and Lipton's work on abduction.)

[@martinepstein9826]

I can't speak to the physics version of the title but the math version makes sense to me. Determining the make up of horseshoe-1 lets you determine the make up horseshoe-2, which lets you determine horseshoe-3, which...

[@keithmosley8843]

I do like to tidy up as I go so once I had worked out 3, 4, 8 and 9 in box 4, I knew that the 7s cannot surround the 8, the 5 cannot be in centre because of the 4, and the 5s cannot surround the 4, similarly the 2s cannot surround the 3. And either 1 or 6 must be in one of the corners

[@bobblebardsley]

It's a good job I have a battenberg in the kitchen, once the colouring-in starts...

[@Gonzalo_Garcia_]

51:53 for me. I have somehow solved it, but I’ve used bifurcation a couple of times and I feel like I missed several important pieces of logic. Time to watch the video to see what the actual solvepath is! Edit: Well, apparently I did find every piece of logic. I’m surprised Simon doesn’t consider the logic on box 7 to be bifurcation, but if that was the intended path then I didn’t miss anything.

[@rizka7945]

It's possible to avoid bifurcation. You just need a series of concise deductions. Lots of stuff in that corner is restricted when you look closely. Simon doesn't bifurcate nearly as often as Mark does, but this time he did. It's a shame and injustice towards the puzzle.

[@terracottapie]

@@rizka7945 What are the concise deductions?

[@daniellucas5522]

@@terracottapie Just pencilmarking in box 7 for the most part. Realising the bottom two digits on the X shaped whisper line have to be 1289 helps, that restricts the top two down to 3467, as does pencilmarking the 2 and 5 locations in box 4 and using them. IIRC the 2 is the digit that causes the most trouble, but you end up colouring the box the same way as the X whisper line.

[@towellight9400]

@@daniellucas5522 Yea I was watching and couldn't see how what he was doing wasn't bifurcation. Had to check comments and found yours claiming it was bifurcation backing up my thoughts.

[@jurjenvanderhoek316]

22:00 Why don't you just double-click a yellow cell to select all yellows? Same with purple. You should know that by now 🙂

[@henk-ottolimburg7947]

Induction in math is like a stepping stone theorem, crossing a river from one stone to the next. Or as a row of tumbling domino stones. Here: one proof leading to another, that to another etc.

[@IncinX]

I don’t normally comment but it seemed like Simon couldn’t go 2 minutes without an airplane going by!

[@Mitrasmit]

I love Phistomephel, but this box 7 solution is just bifurcation (and Simon knew it). I hope there was a non-bifurcatory solution as well.

[@legobil_]

I don’t think it was very bifurcatory to be honest. He logically figured out two possible states for the whisper-line that went through box 7 and 8 (the two high digits and the two low digits), and from those two states, the rest of the digits were forced from the rules. Imo, bifurcation would mean more guess work and to call “placing big digits” a form of bifurcation is to do both the puzzle and solver a disservice as that way was the easiest way to visualize it.

[@catapon]

I take a weird pride in correctly guessing what colours he is going to use lol

[@AndreAy1975]

Solved it with help from the video.

[@williamnathanael412]

Challenge: give a simpler non-bifurcatey explanation to disambiguating box 7.

The numbers that can be in the middle of the "horse-shoes"are the numbers that can be the last digits in a square number. Which 2, 3, 7 and 8 can not be.

[@neilkightley3451]

28:28 I'm pretty sure Maverick is flying a helicopter today!

[@jurjenvanderhoek316]

45:05 Indeed r2c1 can't be 6, and it also cannot be 9. Just simple Sudoku, because 6 and 9 are already in column 1. The same holds for 8 in r2c3.

[@paulconway670]

Still watching the video.. but I have to stop to chuckle ... at 22:00 that "useless 2" in the middle suddenly becomes the thing that the whole puzzle turns on... It's like when you're watching a horror film... Simon saying "this digit is useless" is the same as the metal spike sticking up out of the ground which the camera just happens to show.. you just know that's how the monster get nailed...!

[@abdoroma6928]

43:00 The f***ing 9 is screaming😂

[@OlafDoschke]

Well, you still missed a beautiful shortcut through the three 45 cells after you arrived to the situation at 59:28. Think about possible places of 5 in box 6. As 5 is an important and restricted digit, and as two of the three 45 cells (r2c8 and r4c4) had to be the same digit, what if they both were 5? Then 5 would have no place in box 6, as there is a 5 in box 4 in row 6 and the other two 5s would rule out all other non horseshoe-cells in row 4 and column 8. So there was a simple deduction r2c8 and r4c4 both needed to be 4 to not rule out 5 from box 6. Then r2c4 becomes 5 and this helps solve the rest quite fast. At 1:02:15 you shunted the 8 into box 9, row 9, so it couldn't be on the whisper any more already at that point. Both of these only cost you a few minutes in an anyway longer solve which I think I would have needed way longer, so no accusation, just a friendly hint on where you could also have had your attention.

[@icyphilippe]

i really like the fact that the numbers of same polarity on a horse shoe HAVE to be sonsecutive otherwise the puzzle breaks

[@poohssmartbrother1146]

I wanna know what calamity befell the local Air Traffic Control. I mean a couple Mavericks is one thing, But So many Planes. Lot of which were Jets.

[@thongvu9047]

29 cell see a 9, but let's ignore that and use another way to solve the puzzle is so Simon xD

[@sillvvasensei]

Is Maverick flying a 747 today?

[@TAHeap]

48:00-58:00 Slightly gob-smacked at the persistent determination to crunch *c4* with non-adjacency, when exactly the same technique allows you to work across *box 8* where you have just almost pinned down the 9, there are extra numbers to work with, plus an unused clue...

[@redsyss2081]

Hey guys, it would be really nice if you made bookmarks on your videos it only takes a minute and people really do apreciate it

[@JimmyLundberg]

49:28 can this (r8c6) be a 2? No, because it would put a 4 onto this green line which would force a 9 onto the other end, but this (r7c8) 9 sees both of the cells. I can't believe he seemingly wilfully completely discarded the last line for so long. T_T

I couldn't see it instantly but I supposed there were no 5 in the middle of the "horse-shoes". It turned out to be right.

[@mipsuperk]

56:38 I've never been so annoyed with a CTC video. A perfectly good deduction squandered.

[@ZackJRich]

What do you mean?