The quiet shift of Simon switching from "never speak to me at parties" to "if I told you this at a party, you'd have to agree it was interesting" has been making me smile.
@@kathyjohnson2043probably most of us feel the same way. It makes me sad when he says people don’t think he’s interesting at parties. It’s most likely the others who aren’t interesting!
Simon is a genius (There, I've said it). To be able to find the solution path, visualise the combinations in his mind, and explain it verbally in a 'live' setting as he discovers it, is nothing short of amazing. A true showcase of his talents.
Totally true, but too lazy to notate on screen the combinations he can see in his mind. I am sure this would attract more viewers. He could show an *Excel* or *Notepad* window in the top-right part of the screen if he temporarily removed the rules from there. I believe the rules are overimposed in post-production, and the aide memoire can be added this way as well, or just compiled during the video recording. Anyway, it is definitely impressive that he was able to do that so skillfully without an *aide memoire.* I used a separate grid for that purpose, although I do not think it was strictly necessary in this case. Also, I liked a lot the use of *A-B-C* and *X-Y-Z* to explain some key initial deductions, without interfering with the existing colour code.
@@michaellautermilch9185 Yes. On the contrary, in my personal experience *just enough* smart and concise notation adds to it, making it crystal clear and requiring less words to describe it. My *aide memoire* was not strictly necessary but beautiful, especially when I gradually uderstood that the *8-cell* groups added up to *12* and *14,* due to the interaction between *column 6* and *box 5.* Also, the ABC and XYZ notation used by Simon was not strictly necessary. I did not use it. I did it in my head, but Simon's notation made it clearer and more beautiful to me.
That was an immaculate solve of a truly great puzzle. Simon, you don't always appreciate how good you are to see all those things first time on camera. Favourite moments "I'm being slow" at 30:15ish - not slow on my metric: and 46:25ff "what would make my day, if this becomes straightforward" when there are unresolved cages and you ought know that means there is one last trick up Jay's sleeve - which was duly spotted and negotiated more smoothly than I did it.
Simon, you are also a genius. I was thinking about how one would go about this puzzle, and never would in a million years have figured out what you figured out about the number of totals that used all 9 digits in cages vs the number of totals that used only 8 of the 9 ... and all that flowed from that was just beautiful. What a puzzle - so glad to see another one by Jay Dyer on the channel! and what a solve - thank you.
This puzzle is so far above my skill level that it's almost painful. You know it's tough when I can't follow your logic. Cracking solve of a very clever puzzle.
To be fair, Simon did make it more complicated than it needed to be by going hyper theoretical. But if you're not that agile with weird or new logic, or new to Sudoku, it's perfectly understandable. It's funny how he can not only grasp but explain excessively convoluted stuff very clearly and simply, but obscure concepts half as hard he often obfuscates even more 😂. The ruleset is the big clue that should tell you where you need to focus: There are 34 cells in cages, and 4 sets of cages with distinct numbers. You need at least 2 of those sets to have all the 9 digits, because you could not fill it all otherwise. But that sums to 45 so the sum of those two sets divides 45, those sums can only be 9 and 15. Then you have 16 more cells to fill. If there were another 1 to 9 set, it would sum to something that can divide 45 but we've exhausted our options, so both other sets use 8 digits. So far we know the 9-sum set uses 5 cages (45/9), the 15-sum set uses 3 cages (45/15). The other sets use 6 cages altogether. Given the cages and their sizes, the 9-sum set can only be a single 9, and 4 couples, which gets you to the 25:18. (This set is colored dark green). Then you can infer that blue is the 15-sum set. (It's already using 7 cells and you need to add at least two). Then the r7-9c6 cage has to be either yellow or purple, but if it is yellow, yellow already uses 7 digits and needs one more cage, but yellow only uses 8 digits, it doesn't work so it's purple. The neat trick is to then notice that those 3 purple digits fit in a very specific place in box 5, and the 2 of the 3 digits in box 5's purple cage fit in one cage in box 3. That cage can't be green (touching), purple (already used those digits), blue (it would add to 15 but purple is now 3 cages so it can't add to more than 44/3=14.666) so it's yellow. It also means that yellow adds up to less than purple, and this forces a 9 to be somewhere in purple. Also, both yellow and purple are now 3 cages sets, so their sum is constrained. R3c6-7 can't be purple (its digit is the extra digit from box 5 purple cage), blue (touching) or yellow (touching) so it's green. R2C7-8 can't be green (touching), yellow (touching), nor blue (it would add to 15 without a 9 so 7+8, but then r3c7 could not be 7 or 8. While yellow and purple add to between 12 and 14, and the difference being the digit in r3c6 (so 1 or 2). Yet that cage is green but could not add to 9 anymore. So it's purple. It gets more straigtforward from that point on. I don't know if this helped, but I could not leave you missing out on how magic this puzzle was, I usually love the puzzles here but this is one of the few times I've felt in awe. Especially since it needed some thought but with some logic you could get there one step at a time. What an incredible setup by Jay Dyer.
@@pixllo thank you for your explanation. I had to read it a few times but this in conjunction with the video definitely helps get me closer. It's still beyond my reasoning to do this logic myself at the moment, but this puzzle in particular gives me a real appreciation for a relatively simple rule set.
I totally agree that this was utterly beautiful. Once the initial analysis revealed that there had to be two sets using all nine digits and two sets using eight, it just walks you through the solve, with each step magically appearing. I can imagine Jay's mum saying "stop showing off Jay, nobody likes a show-off". To have the initial idea is inspired, but to execute it in a way that solves so smoothly takes a special kind of genius.
Three times I was stuck in the puzzle, three times I listened a little more of the video, and all three times Simon pointed at a cage and said, that he knew its color (but he did NOT say which color), and I stopped the video at once. I was now able to deduct the right color myself, and that made my day 😊. I love to hear the deduction from Simon, because it is almost every time much simpler than my own solution (when I HAVE a solution 😂). Thanks for giving hints without telling everything, such that we may continue ourselves, and thanks for giving clear arguments for your deductions! And it is incredible that you can sense where to look next, and ask the right questions 😊.
Thank you Simon for finding absolutely the right words to describe this puzzle and Jay's geniusness. Absolutely brilliant puzzle, wonderful idea, and somehow she managed to make the solve path so clean that in hindsight, it almost looks obvious and easy, while it clearly takes some deep fundamental thinking before you can properly start the puzzle. I think those puzzles are the best which require those fundamental insight about the ruleset to get you going. I ended my recommendation mail for this puzzle with "It would be a crime if this puzzle would not get featured". and I'm glad it did with a very nice and good solve. Absolutely deserving feature for Jay with one of the best puzzles ever out there.
This was a stunning puzzle. Very clear logic with a clean grid. That it solves so well is just amazing. You are very right that describing how great this puzzle is is difficult. Loved it, thanks for showcasing it.
31:00 A quicker way to figure out how the two 8 digit sets are divided is to ask how to fit 8 digits into only 2 cages when there are no cages with more than 4 digits. And the answer to that is to put them in two 4 digit cages. But since the only two 4 digit cages in the puzzle are touching, that is also not possible, and therefore there two sets have to have 3 cages each to fit all their digits.
I love that Simon uses his color/math roundabout logic to determine the green 2, when if he just used the blue 1 he placed he could have easily placed the yellow 1 and then the 2 by sudoku. And then the 1-4 in box 5 to give him the green 1-8. SIMON USE YOUR SUDOKU!
@@lxstcheckll9348 there's another Jay Dyer on UA-cam who specializes in geopolitics and Orthodox Christian apologetics. This is seemingly not that lol.
I am always amazed at how you piece these together from almost nothing. To be honest this channel inspired me to do sudoku puzzles for fun while I’m on the subway going to work. Thank you good sir
This video deserves *millions* of viewers‼ This is just a *cosmic* class sudoku. It deserves a standing ovation *1000 x 👋* at the next meeting of the *Organization of the United Universes.* Solving it was an unforgettable, sublime, jaw-dropping and mind-blowing experience‼ Simon's solve was phenomenal as well 👋👋👋👋👋👋👋
Throughout the 5 years or so of me watching the puzzles on this channel, I'd never found a puzzle which I didn't understand the logic of. And then there's this one, which took me numerous rewatches to even understand what Simon was talking about initially. It's just mind-bending how brains like these exist. Indeed, Jay is a genius, and of course, Simon, you too, are no less than a genius.
I finished in 103 minutes. This one was so satisfying to figure out. Coloring the various cages and counting the number of cells led me to 34, so a variation of only two values from the max led me to putting 9 in the singular cell. Then, from there the hardest part of me trying to do mental math before spotting the geometry of puzzle leading to it collapsing almost immediately, leaving me with a euphoria of sorts. Great Puzzle!
After all the brilliance in the puzzles we have seen recently, and I am always thinking there is no way we can go beyond that in term of brilliance, here comes this puzzle. I was so fascinated at every step: the logic was so cold, hard but not too complex. This has to go in the volume 3 of the greatest hits. And I would hope many people try their hands on it as well. As Simon would say, take a bow Jay Dyer, as usual. I have no idea how we will get something even more brilliant than that, but I am sure future me in 3 months will look back at that comment and chuckle. The community of setters you have gathered around you CTC is constantly revolutionizing the sudoku world, there is no quiet day.
This was my first attempt at doing one of these before watching, and I eventually did it in 02:16:56. Nothing to boast about but I'm proud that I managed it at all for such a beautifully complex puzzle, especially figuring out the sizes of all the unknown cages rather quickly.
What a fabulous puzzle, took me a lot longer but I did it, even though I had almost a third of the grid covered in aide memoire. I like watching Simon do it afterwards to see where to improve and hearing him giggle is a bonus. Somebody that enjoys clever logic so much they giggle would be very welcome at any party I attend and there would of course be chocolate cake.
As an early solver of this puzzle, I can confirm that Simon really nailed the entire solve path, where he essentially captured every important insight of this puzzle perfectly, and that's not even accounting to how elegant this puzzle is both in terms of setting and solving. Certainly one of my favorite Jay Dyer puzzles up to date :)
As someone who never saw this puzzle before watching Simon's solve, I can confirm that Simon really nailed the entire solve path, where he essentially captures every important insight of this puzzle perfectly, and that's not even accounting to how elegant this puzzle is both in terms of setting and solving.
Solved it in 90:06. Had to break out the pen and paper for this one. Absolutely fantastic puzzle. The logic using the 3-wide cages in boxes 8 and 5 and their effects on box 1 was superb.
The sheer amount of joy i felt when reading the title highlights the fact that your videos are a highlight of my day And Simon you probably could make a bonus video for the birthdays when you come back from a break, you would be less late on a lot of them and catch up in one session😉
It took me 3 hours because it took forever to realize I had written 1239 into a cage that should have been 1236, leading to a state where the sudoku doesnt resolve. I had to go all the way back and then the sudoku did resolve and it wasnt too bad. But really the break-in into this puzzle was brilliant. Just looking at the way the cages are setup gives a natural place to look for the next step every time, which made it a joy to solve.
Jay this was fantastic… unique and simple to understand ruleset, executed perfectly to deliver a totally unique and original puzzle with fun logical twists and turns throughout. This reminds me of the sort of puzzles that first got me addicted to this channel and hobby
This is really impressive. Honestly, I just can't imagine how someone comes up with an idea like that. This is really fascinating! Thanks for Jay for the puzzle and Simon for solving it!
Incredible puzzle. Just coming up with this kind of break in is beyond bananas. Making it somewhat easy to grasp is even more incredible. Hats off to Jay Dyer!!! I scored an honorable 33:47, pretty happy with myself.
Can someone explain to me how Simon reached the conclusion at 26:59 that the three rightmost cells in box 2 had to be digits ABC? Why could those digits not have gone into the three uncaged spaces in that box? Or into green or blue, for that matter? I missed that logical step.
By asking where the digits ABC of box 5 go in column 6. The purple ABCs in box 5 cannot be the same as the purples in box 8, so they can't go there. They obviously can't go in box 5, so it has to be box 2, column 6
You probably mean she is *👉still👈* a genius. She proved that several times before. I call her the *Goddess of modifiers* because her sudoku hunt on Patreon, themed on modifiers, was the most beautiful I have ever solved. Now the problem is that this grid and ruleset seem so minimalistic that you need to be a genius as well to solve the puzzle. 😩 But JD's puzzles are too beautiful for me to give up.
I found the first digit❗ (1-cell cage = 9) Stratospherically beautiful and innovative logic, as usual. Take a respectful bow, *Goddess of minimalism* 👏👏👏👏👏👏👏
@@HighlyVolkish Not sure about this video, but Simon has referred to Jay as "she" in past videos, including when introducing in her debut video on CtC ("Is This The Greatest Quadruple in Sudoku History?").
24:36 Interesting thing I noticed - while you can't place any of them specifically, you can roughly place all the remaining 9-sum regions; one must be one of the two cages at least partially in box 3, one must be one of the two cages at least partially in box 7, and one must be one of the two cages entirely in column 8 (edit: Simon sees this later, albeit when there are only two unplaced 9-sum cages left)
Loved this. Got there in the end eventually in just over 2h. Coming back to watch, I realise that my path is similar (certainly needed to spot the 34 cells = 36-2 idea). But thereafter, I wrote out lots of combinations by hand of groups of 8 with a missing digit and ruled them out very slowly (sometimes by a clashing digit). Simon here made much more use of spotting which cage sizes are adjacent and effectively ruling out large chunks of my combinations very quickly. I'm always happy to solve in 2h what takes Simon 1h though!
89:32 for me. Such a wonderful puzzle, really loved every second of it. At first, i also thought there is no way this was possible, but the math behind it is just too good
Absolutely I decide to try a puzzle exclusively based on the length. I started no more than 30 min, I've now done a 50 min one. Getting there! VIdeos keep getting longer too though.
30:20 Such a clever puzzle with such a simple basis behind it. Even having worked out the general setup of the cages, there were some nice tricks needed to lay them out with the correct fills. Beautiful work.
Hi Simon! You asked about video length as it relates to solvability; I generally find that I can (usually) solve a puzzle if the corresponding video is
I do the opposite. I never try solving puzzles in videos shorter than 30 minutes. Yeah, like the hard ones. I can't always solve them. but when I do, it's so rewarding!
I'm still at one digit and slowly categorizing additional cages, but if what I've found so far was all intended, that's unbelievably intricate setting. The grid and ruleset themselves are quite elegant to begin with. After finishing, it turns out I was most of the way there through the hard stuff when I wrote this. Fantastic puzzle.
Thanks Simon for unravelling this genuis level puzzle by Jay Dyer. As someone had commented on patreon on Jay's doubler puzzle set - alienlike intelligence.
Philippians 2:9-11 Therefore God has highly exalted him and bestowed on him the name that is above every name, so that at the name of Jesus every knee should bow, in heaven and on earth and under the earth, and every tongue confess that Jesus Christ is Lord, to the glory of God the Father.
I think genius is an over-used word, but this is certainly a breathtakingly clever puzzle. The standard on CTC is obviously very high but now and then you get something which seems to exist on another level and for me this was just such a puzzle. When I made some of the deductions I wondered why it had taken me so long as with hindsight they seemed quite obvious. Hats off to Jay.
The Murat Can Tonta puzzle (and corresponding video) was how I discovered Cracking the Cryptic back in February, 2020! Tickled to see it making a cameo in this video. I can't believe it's been 4 years!
from 42:50 to 46:11 I was screaming at r6c5 being cleared with the 1 he just put seconds ago in box 4! fascinating the way Simon hates using sudoku with how many sudoku puzzles he does xD (of course the rest of the solve was delectable so I don't mean this in any toxic manner)
Very funny way to find the 14 in Box 5 for Simon the genius ;) This puzzle was incredible and way above my own capabilities. Thx for the solve and well done to Jay
65:29, but I needed a hint about the relationship between the digits in boxes 2 and 5 (i.e. the ABC pencilmark) to work out the cage colours. That was hard.
Proving again that I'm okay at weird logic but bad at sudoku. First digit in 0:42, all cages shaded and pencilmarked at 17:01, puzzle complete in 66:51.
For those who find "3 in the corner" highly offensive, you can stop watching at about 46 minutes and still have enjoyed all the key deductions of the puzzle.
I think the most unique thing about this channel. 52:15 he highlights 2 69's and giggles. But what he was really giggling at was being able to put 3 in the corner.
Philippians 2:9-11 Therefore God has highly exalted him and bestowed on him the name that is above every name, so that at the name of Jesus every knee should bow, in heaven and on earth and under the earth, and every tongue confess that Jesus Christ is Lord, to the glory of God the Father.
Dang! One little thing that I couldn't see and I have to consider this a fail on my part. You win again, Simon. I knew it had something to do with the purple cages in boxes 5&8 but after 2 hours of staring I had to admit defeat.
This looks such a cool puzzle. I got the first digit, but I had to give up after 30min, want to see how Simon does this. I fear I'm gonna regret this, this puzzle feels like such a cool experience but I can't do the mental arithmetic required :(
You do all the deduction more piecemeal than I could, I had to write out the values of cages and deduce the potential combinations of cage sizes that fit them. Doing that I deduced that only 14 was able to have a 2,3,3 combo of cage sizes, and the only values left were 13,12 for the 2,2,4 combo of cage sizes, which broke it open for me. All in all I was probably just scribbling for half an hour. The combos are surprisingly limited though, and I knew the kinds of sets I was looking for inside the cages at that point, which quickly started forcing them. I also did the ABC to determine the [redacted], which opened a lot up, after that the deductions of the individual 2 cages were nice but hard for me to see at times.
Earlier, from around 25:15, he worked out blue was the other colour that used all 9 digits, and therefore was the colour that summed to 15. Yellow couldn't also sum to 15. It had to be one of the two colours with 8 digits only.
You could have figured out that colors with 8 cells each needed to have 3 cages each much earlier. If it was 2 and 4 instead, then that implies one of the colors has two cages of size 4 (since there are no cages larger than 4 cells). But the only two cages with 4 cells are touching each other and can't be the same color.
Sometimes it just takes going to sleep. I struggled and struggled with this for far longer than I care to admit. I did see all the logic in the end, and it was beautiful. The key piece I was missing was the way to rule one of the options out of the three-cell cage at the bottom. I sadly did end up just picking one and it was the right one, so I went back and had a look, but after another two hours and the start of a headache, I went to sleep. When I woke up, it only took ten more minutes to spot the problem. Spoiler warning: At this point in the puzzle I had one set of cages isolated to include a three-cell and a four-cell. If I made the other three-cell go along with the other four-cell, then there would be at least 7 different digits in each adding to a minimum of 28. This divided by two gives 14 for the sum, but if they took a two-cell region, then they would have all nine digits in three cages giving a total sum of 45 divided by 3 to get a sum of 15. That means that the possibility of both taking a two-cell region isn't possible as that would give both the same sum. One must take and one must not take with one being 14 and one being 15. This creates a problem, though, as that means the two missing digits from the four sets of 1 to 9 are missing from one of these two sets and the three-cell cage in the middle would have to take three two-cell cages (3+2+2+2=9 digits) to not be missing any, but that makes the total 45. Here's a little secret, 45 isn't evenly divisible by 4...which rules out this whole scenario of there being two sets with a four-cell and a three-cell cage. From there the one I had picked the night before was the only option and the rest of my logic being sound, I finished the puzzle, and thus rest my case, my brain, and now to enjoy seeing CtC solve this in spectacular and unimpeded fashion. I humbly bow to their incredible abilities. Thanks again for another wonderful puzzle, and as I'm sure it will be, just as amazing solution video.
So glad my logic was basically the same, even though it took me more than five times as long. Thank goodness it was the weekend. I liked how you were able to throw math around in your head so easily to figure out that it required two sets of 8 digits. I had to work the long way around to rule it out (explained mostly in my first comment, just missing a few earlier deductions that you use in the video). Even doing the sums as quick as you do, lol. I still have to use a killer cage sum cheat sheet/program, although the more I do it, I am getting certain intuitions that are more quickly proven. Can I just say, it is a wonderful thing seeing these videos and being able to solve these puzzles. To you and many others, it may seem like simple fun, but doing these regularly really does improve basic math skills. Thanks for all the entertainment and learning!
I have been watching for a couple months now and this is the first time i am totally lost in the beginning. I get the basic gist, but i can't follow along as you talk it through, which i usually can.
My cut-off for attempting the puzzle is about 20-30 minutes, although I do sometimes try to spot the break-in on longer videos. I'm slowly improving at variant sudoku but I don't yet have a hope of solving anything that produces an hour-long video on this channel 🤣
Conjunction Junction was part of a series of animations that taught various concepts. So I assume the title is a play on that. And you have to use disjointing to solve?
The quiet shift of Simon switching from "never speak to me at parties" to "if I told you this at a party, you'd have to agree it was interesting" has been making me smile.
Me too! 😊
Simon is a menace at parties
it's a much stronger, more creative, and more positive bit. i'm very glad about the change!
I've said before, I would love to talk to him at a party
@@kathyjohnson2043probably most of us feel the same way. It makes me sad when he says people don’t think he’s interesting at parties. It’s most likely the others who aren’t interesting!
Simon is a genius (There, I've said it). To be able to find the solution path, visualise the combinations in his mind, and explain it verbally in a 'live' setting as he discovers it, is nothing short of amazing. A true showcase of his talents.
I'd liike to reinforce this.
Simon tends to lowball his abilities but this is yet another really inpressive showcase of his puzzle-solving prowess.
Totally true, but too lazy to notate on screen the combinations he can see in his mind. I am sure this would attract more viewers. He could show an *Excel* or *Notepad* window in the top-right part of the screen if he temporarily removed the rules from there. I believe the rules are overimposed in post-production, and the aide memoire can be added this way as well, or just compiled during the video recording.
Anyway, it is definitely impressive that he was able to do that so skillfully without an *aide memoire.* I used a separate grid for that purpose, although I do not think it was strictly necessary in this case.
Also, I liked a lot the use of *A-B-C* and *X-Y-Z* to explain some key initial deductions, without interfering with the existing colour code.
@@Paolo_De_LevaToo much writing things down detracts from the beautiful and pure logic.
@@michaellautermilch9185 Yes. On the contrary, in my personal experience *just enough* smart and concise notation adds to it, making it crystal clear and requiring less words to describe it. My *aide memoire* was not strictly necessary but beautiful, especially when I gradually uderstood that the *8-cell* groups added up to *12* and *14,* due to the interaction between *column 6* and *box 5.*
Also, the ABC and XYZ notation used by Simon was not strictly necessary. I did not use it. I did it in my head, but Simon's notation made it clearer and more beautiful to me.
That was an immaculate solve of a truly great puzzle. Simon, you don't always appreciate how good you are to see all those things first time on camera. Favourite moments "I'm being slow" at 30:15ish - not slow on my metric: and 46:25ff "what would make my day, if this becomes straightforward" when there are unresolved cages and you ought know that means there is one last trick up Jay's sleeve - which was duly spotted and negotiated more smoothly than I did it.
Disjunction Function, what's your Junction? Separating cages, and digits, and totals.
I was hoping someone else would notice the schoolhouse rock reference 😄.
I was hoping someone else would notice the schoolhouse rock reference 😄.
Simon, you are also a genius. I was thinking about how one would go about this puzzle, and never would in a million years have figured out what you figured out about the number of totals that used all 9 digits in cages vs the number of totals that used only 8 of the 9 ... and all that flowed from that was just beautiful. What a puzzle - so glad to see another one by Jay Dyer on the channel! and what a solve - thank you.
Just found this channel. Thanks UA-cam. Absolutely amazing.
Welcome!
Welcome!
I found out about 5 weeks ago and I’ve been watching nearly daily ever since.
Only a few years to catch up, enjoy!
Welcome to the rabbit hole!
This puzzle is so far above my skill level that it's almost painful. You know it's tough when I can't follow your logic. Cracking solve of a very clever puzzle.
To be fair, Simon did make it more complicated than it needed to be by going hyper theoretical. But if you're not that agile with weird or new logic, or new to Sudoku, it's perfectly understandable.
It's funny how he can not only grasp but explain excessively convoluted stuff very clearly and simply, but obscure concepts half as hard he often obfuscates even more 😂.
The ruleset is the big clue that should tell you where you need to focus:
There are 34 cells in cages, and 4 sets of cages with distinct numbers.
You need at least 2 of those sets to have all the 9 digits, because you could not fill it all otherwise. But that sums to 45 so the sum of those two sets divides 45, those sums can only be 9 and 15.
Then you have 16 more cells to fill. If there were another 1 to 9 set, it would sum to something that can divide 45 but we've exhausted our options, so both other sets use 8 digits.
So far we know the 9-sum set uses 5 cages (45/9), the 15-sum set uses 3 cages (45/15). The other sets use 6 cages altogether.
Given the cages and their sizes, the 9-sum set can only be a single 9, and 4 couples, which gets you to the 25:18. (This set is colored dark green).
Then you can infer that blue is the 15-sum set. (It's already using 7 cells and you need to add at least two).
Then the r7-9c6 cage has to be either yellow or purple, but if it is yellow, yellow already uses 7 digits and needs one more cage, but yellow only uses 8 digits, it doesn't work so it's purple.
The neat trick is to then notice that those 3 purple digits fit in a very specific place in box 5, and the 2 of the 3 digits in box 5's purple cage fit in one cage in box 3. That cage can't be green (touching), purple (already used those digits), blue (it would add to 15 but purple is now 3 cages so it can't add to more than 44/3=14.666) so it's yellow.
It also means that yellow adds up to less than purple, and this forces a 9 to be somewhere in purple. Also, both yellow and purple are now 3 cages sets, so their sum is constrained.
R3c6-7 can't be purple (its digit is the extra digit from box 5 purple cage), blue (touching) or yellow (touching) so it's green.
R2C7-8 can't be green (touching), yellow (touching), nor blue (it would add to 15 without a 9 so 7+8, but then r3c7 could not be 7 or 8. While yellow and purple add to between 12 and 14, and the difference being the digit in r3c6 (so 1 or 2). Yet that cage is green but could not add to 9 anymore. So it's purple.
It gets more straigtforward from that point on.
I don't know if this helped, but I could not leave you missing out on how magic this puzzle was, I usually love the puzzles here but this is one of the few times I've felt in awe. Especially since it needed some thought but with some logic you could get there one step at a time. What an incredible setup by Jay Dyer.
@@pixllo thank you for your explanation. I had to read it a few times but this in conjunction with the video definitely helps get me closer. It's still beyond my reasoning to do this logic myself at the moment, but this puzzle in particular gives me a real appreciation for a relatively simple rule set.
You're not alone,but more exp -- more lvl and skillz
"It's green! I don't know what that means"! Amazing.
Thought this was about Jay Dyer the Orthodox Christian apologist…carry on
It might be?
@@ryanbeamish same 😅🤣
Same here. Jay dyer the orthodox apologist is indeed a genius
Uhh orthobros… I think we’re on the wrong side of the multiverse
I thought the same thing
ahhahahahahaha
UNMUTE
@@mullenenterprises 🤣🤣
Jay Dyer: Across the Dyer-Verse
How very creative, and might I say inclusive, of God to create a female sudoku genius Jay Dyer
I totally agree that this was utterly beautiful. Once the initial analysis revealed that there had to be two sets using all nine digits and two sets using eight, it just walks you through the solve, with each step magically appearing. I can imagine Jay's mum saying "stop showing off Jay, nobody likes a show-off". To have the initial idea is inspired, but to execute it in a way that solves so smoothly takes a special kind of genius.
Three times I was stuck in the puzzle, three times I listened a little more of the video, and all three times Simon pointed at a cage and said, that he knew its color (but he did NOT say which color), and I stopped the video at once. I was now able to deduct the right color myself, and that made my day 😊.
I love to hear the deduction from Simon, because it is almost every time much simpler than my own solution (when I HAVE a solution 😂). Thanks for giving hints without telling everything, such that we may continue ourselves, and thanks for giving clear arguments for your deductions! And it is incredible that you can sense where to look next, and ask the right questions 😊.
Thank you Simon for finding absolutely the right words to describe this puzzle and Jay's geniusness. Absolutely brilliant puzzle, wonderful idea, and somehow she managed to make the solve path so clean that in hindsight, it almost looks obvious and easy, while it clearly takes some deep fundamental thinking before you can properly start the puzzle. I think those puzzles are the best which require those fundamental insight about the ruleset to get you going.
I ended my recommendation mail for this puzzle with "It would be a crime if this puzzle would not get featured". and I'm glad it did with a very nice and good solve. Absolutely deserving feature for Jay with one of the best puzzles ever out there.
She, but yes, her puzzles are always good.
@@Tahgtahv woops. my bad. Thanks for pointing out. I edited the comment
This was a stunning puzzle. Very clear logic with a clean grid. That it solves so well is just amazing. You are very right that describing how great this puzzle is is difficult. Loved it, thanks for showcasing it.
Thanks!
Thanks
Thank you very much!
31:00 A quicker way to figure out how the two 8 digit sets are divided is to ask how to fit 8 digits into only 2 cages when there are no cages with more than 4 digits. And the answer to that is to put them in two 4 digit cages. But since the only two 4 digit cages in the puzzle are touching, that is also not possible, and therefore there two sets have to have 3 cages each to fit all their digits.
This is how I deduced it as well, but I'm not sure that and the many other steps along with it were faster in practice.
I love that Simon uses his color/math roundabout logic to determine the green 2, when if he just used the blue 1 he placed he could have easily placed the yellow 1 and then the 2 by sudoku. And then the 1-4 in box 5 to give him the green 1-8. SIMON USE YOUR SUDOKU!
Not the Jay Dyer I was thinking of apparently...
Who
I think it’s the same Jay Dyer
@@lxstcheckll9348 there's another Jay Dyer on UA-cam who specializes in geopolitics and Orthodox Christian apologetics. This is seemingly not that lol.
@@Desertfox-o2x Ik
There should be a whole university focused on studying these artwork puzzles. Jay Dyer is a conduit for the eternal source of Wisdom.
I am always amazed at how you piece these together from almost nothing. To be honest this channel inspired me to do sudoku puzzles for fun while I’m on the subway going to work. Thank you good sir
This video deserves *millions* of viewers‼
This is just a *cosmic* class sudoku. It deserves a standing ovation *1000 x 👋* at the next meeting of the *Organization of the United Universes.* Solving it was an unforgettable, sublime, jaw-dropping and mind-blowing experience‼
Simon's solve was phenomenal as well 👋👋👋👋👋👋👋
(this is a just a short summary of what I wrote in other comments below)
Thank you so much for the shout out! ❤
Throughout the 5 years or so of me watching the puzzles on this channel, I'd never found a puzzle which I didn't understand the logic of. And then there's this one, which took me numerous rewatches to even understand what Simon was talking about initially. It's just mind-bending how brains like these exist.
Indeed, Jay is a genius, and of course, Simon, you too, are no less than a genius.
I finished in 103 minutes. This one was so satisfying to figure out. Coloring the various cages and counting the number of cells led me to 34, so a variation of only two values from the max led me to putting 9 in the singular cell. Then, from there the hardest part of me trying to do mental math before spotting the geometry of puzzle leading to it collapsing almost immediately, leaving me with a euphoria of sorts. Great Puzzle!
31:57 for me. a nice piece of logic. loved it. no sudoku theory needed. just pure logic.
One of my all-time favourite puzzles featured on this channel!
After all the brilliance in the puzzles we have seen recently, and I am always thinking there is no way we can go beyond that in term of brilliance, here comes this puzzle. I was so fascinated at every step: the logic was so cold, hard but not too complex. This has to go in the volume 3 of the greatest hits. And I would hope many people try their hands on it as well. As Simon would say, take a bow Jay Dyer, as usual. I have no idea how we will get something even more brilliant than that, but I am sure future me in 3 months will look back at that comment and chuckle. The community of setters you have gathered around you CTC is constantly revolutionizing the sudoku world, there is no quiet day.
This was my first attempt at doing one of these before watching, and I eventually did it in 02:16:56. Nothing to boast about but I'm proud that I managed it at all for such a beautifully complex puzzle, especially figuring out the sizes of all the unknown cages rather quickly.
What a fabulous puzzle, took me a lot longer but I did it, even though I had almost a third of the grid covered in aide memoire. I like watching Simon do it afterwards to see where to improve and hearing him giggle is a bonus. Somebody that enjoys clever logic so much they giggle would be very welcome at any party I attend and there would of course be chocolate cake.
26:12 for me. How does anyone come up with a puzzle like this? Absolutely fantastic one, she is a genius indeed.
As an early solver of this puzzle, I can confirm that Simon really nailed the entire solve path, where he essentially captured every important insight of this puzzle perfectly, and that's not even accounting to how elegant this puzzle is both in terms of setting and solving. Certainly one of my favorite Jay Dyer puzzles up to date :)
I mean the way he got the 4 in the centre box made me tear my hair out a bit, but you're not wrong at a macro level
As someone who never saw this puzzle before watching Simon's solve, I can confirm that Simon really nailed the entire solve path, where he essentially captures every important insight of this puzzle perfectly, and that's not even accounting to how elegant this puzzle is both in terms of setting and solving.
One for the books for sure
Solved it in 90:06. Had to break out the pen and paper for this one. Absolutely fantastic puzzle. The logic using the 3-wide cages in boxes 8 and 5 and their effects on box 1 was superb.
The sheer amount of joy i felt when reading the title highlights the fact that your videos are a highlight of my day
And Simon you probably could make a bonus video for the birthdays when you come back from a break, you would be less late on a lot of them and catch up in one session😉
It took me 3 hours because it took forever to realize I had written 1239 into a cage that should have been 1236, leading to a state where the sudoku doesnt resolve. I had to go all the way back and then the sudoku did resolve and it wasnt too bad. But really the break-in into this puzzle was brilliant. Just looking at the way the cages are setup gives a natural place to look for the next step every time, which made it a joy to solve.
Jay this was fantastic… unique and simple to understand ruleset, executed perfectly to deliver a totally unique and original puzzle with fun logical twists and turns throughout. This reminds me of the sort of puzzles that first got me addicted to this channel and hobby
All of this brilliance, and still manages to fit two 3's in the corner. No words can explain this absolute level of genius.
This is really impressive. Honestly, I just can't imagine how someone comes up with an idea like that. This is really fascinating! Thanks for Jay for the puzzle and Simon for solving it!
2 fantastic examples of genius- Jay Dyer is a genius for setting this puzzle up, and Simon is a genius for solving it.
Incredible. Just pure genius from setter and solver
Incredible puzzle. Just coming up with this kind of break in is beyond bananas. Making it somewhat easy to grasp is even more incredible. Hats off to Jay Dyer!!!
I scored an honorable 33:47, pretty happy with myself.
Can someone explain to me how Simon reached the conclusion at 26:59 that the three rightmost cells in box 2 had to be digits ABC? Why could those digits not have gone into the three uncaged spaces in that box? Or into green or blue, for that matter? I missed that logical step.
By asking where the digits ABC of box 5 go in column 6. The purple ABCs in box 5 cannot be the same as the purples in box 8, so they can't go there. They obviously can't go in box 5, so it has to be box 2, column 6
@@therzijpThank you so much!!
You probably mean she is *👉still👈* a genius. She proved that several times before. I call her the *Goddess of modifiers* because her sudoku hunt on Patreon, themed on modifiers, was the most beautiful I have ever solved.
Now the problem is that this grid and ruleset seem so minimalistic that you need to be a genius as well to solve the puzzle. 😩
But JD's puzzles are too beautiful for me to give up.
(she)
@@EricMill Sorry, corrected
@@EricMill How do you know? I can't find any pics of this person anywhere
I found the first digit❗ (1-cell cage = 9)
Stratospherically beautiful and innovative logic, as usual.
Take a respectful bow, *Goddess of minimalism*
👏👏👏👏👏👏👏
@@HighlyVolkish Not sure about this video, but Simon has referred to Jay as "she" in past videos, including when introducing in her debut video on CtC ("Is This The Greatest Quadruple in Sudoku History?").
Stunning puzzle. It took me about 90min, but I thoroughly enjoyed every one of these.
24:36 Interesting thing I noticed - while you can't place any of them specifically, you can roughly place all the remaining 9-sum regions; one must be one of the two cages at least partially in box 3, one must be one of the two cages at least partially in box 7, and one must be one of the two cages entirely in column 8
(edit: Simon sees this later, albeit when there are only two unplaced 9-sum cages left)
I'm just mindblown solving that one... so many great ideas!
Loved this. Got there in the end eventually in just over 2h. Coming back to watch, I realise that my path is similar (certainly needed to spot the 34 cells = 36-2 idea). But thereafter, I wrote out lots of combinations by hand of groups of 8 with a missing digit and ruled them out very slowly (sometimes by a clashing digit). Simon here made much more use of spotting which cage sizes are adjacent and effectively ruling out large chunks of my combinations very quickly. I'm always happy to solve in 2h what takes Simon 1h though!
I love watching you solve these things, Simon. You make it seem like it's obvious after you point out the trick.
I loved this puzzle. Got stuck a bit partway in, but the resolution was so worth it. So many clever ideas in there.
It's amazing to see designers make double corner 3's with a super clever puzzle that I could never solve - amazing!
Thanks for the warning, I'll stop watching now
89:32 for me. Such a wonderful puzzle, really loved every second of it. At first, i also thought there is no way this was possible, but the math behind it is just too good
Absolutely I decide to try a puzzle exclusively based on the length. I started no more than 30 min, I've now done a 50 min one. Getting there! VIdeos keep getting longer too though.
30:20
Such a clever puzzle with such a simple basis behind it. Even having worked out the general setup of the cages, there were some nice tricks needed to lay them out with the correct fills. Beautiful work.
Hi Simon! You asked about video length as it relates to solvability; I generally find that I can (usually) solve a puzzle if the corresponding video is
I do the opposite. I never try solving puzzles in videos shorter than 30 minutes. Yeah, like the hard ones. I can't always solve them. but when I do, it's so rewarding!
Can someone please explain 27:55? I couldn't follow why the ABC appears in box 2.
I'm still at one digit and slowly categorizing additional cages, but if what I've found so far was all intended, that's unbelievably intricate setting. The grid and ruleset themselves are quite elegant to begin with.
After finishing, it turns out I was most of the way there through the hard stuff when I wrote this. Fantastic puzzle.
Amazing puzzle, and for me, one of the hardest I've managed to solve. I'm quite impressed Simon dispensed with it in well under an hour.
Thanks Simon for unravelling this genuis level puzzle by Jay Dyer. As someone had commented on patreon on Jay's doubler puzzle set - alienlike intelligence.
47:33 without this channel I wouldn't be able to solve this
Me singing "that's three in the corner" for a while waiting for Simon to notice and feeling a tad bit clever because I saw something Simon couldn't
Philippians 2:9-11 Therefore God has highly exalted him and bestowed on him the name that is above every name, so that at the name of Jesus every knee should bow, in heaven and on earth and under the earth, and every tongue confess that Jesus Christ is Lord, to the glory of God the Father.
This puzzle was great. I especially liked that I had a fairly different solve path than Simon and it still felt like a genius set it.
55:05 - What a brilliant puzzle!
I think genius is an over-used word, but this is certainly a breathtakingly clever puzzle. The standard on CTC is obviously very high but now and then you get something which seems to exist on another level and for me this was just such a puzzle. When I made some of the deductions I wondered why it had taken me so long as with hindsight they seemed quite obvious. Hats off to Jay.
Me, before solving the puzzle: The title is clearly hyperbole.
Me, after solving the puzzle: THE TITLE IS AN UNDERSTATEMENT!
I had “conjunction junction” stuck in my head for the whole video.
Without Simons hints at the beginning I probably wouldn't have been able to solve it before Christmas. Great puzzle.
That was a work of art
Was going to say the same
I’m still not over him using purple and grey for water and land
The Murat Can Tonta puzzle (and corresponding video) was how I discovered Cracking the Cryptic back in February, 2020! Tickled to see it making a cameo in this video. I can't believe it's been 4 years!
from 42:50 to 46:11 I was screaming at r6c5 being cleared with the 1 he just put seconds ago in box 4! fascinating the way Simon hates using sudoku with how many sudoku puzzles he does xD (of course the rest of the solve was delectable so I don't mean this in any toxic manner)
Very funny way to find the 14 in Box 5 for Simon the genius ;) This puzzle was incredible and way above my own capabilities. Thx for the solve and well done to Jay
65:29, but I needed a hint about the relationship between the digits in boxes 2 and 5 (i.e. the ABC pencilmark) to work out the cage colours. That was hard.
I used almost the same color scheme as Simon when I solved this, and for the same cages, too.
Proving again that I'm okay at weird logic but bad at sudoku. First digit in 0:42, all cages shaded and pencilmarked at 17:01, puzzle complete in 66:51.
For those who find "3 in the corner" highly offensive, you can stop watching at about 46 minutes and still have enjoyed all the key deductions of the puzzle.
Why offensive
Stunning and Brave. He's an orthodox Xtian. What does this tell you?
I don't think it him
I think the most unique thing about this channel. 52:15 he highlights 2 69's and giggles. But what he was really giggling at was being able to put 3 in the corner.
Philippians 2:9-11 Therefore God has highly exalted him and bestowed on him the name that is above every name, so that at the name of Jesus every knee should bow, in heaven and on earth and under the earth, and every tongue confess that Jesus Christ is Lord, to the glory of God the Father.
Even when I am able to complete the puzzle, it still blows my mind how Simon does everything in his head where I have an Excel page full of numbers.
As a visual thinker, I still found it hard to understand the explainer! Maybe I should have seen the excel ;)
When the boxes got filled, it became clear.
Took me a little under two hours, but I had a very fun time of it!
Dang! One little thing that I couldn't see and I have to consider this a fail on my part. You win again, Simon. I knew it had something to do with the purple cages in boxes 5&8 but after 2 hours of staring I had to admit defeat.
The title is reminiscent of "Conjunction Junction" of Grammar Rock fame.
I thought the same thing.
Mustn't forget I'm just a bill.
^schoolhouse rock
Hookin' up renbans and whispers and cages...
This looks such a cool puzzle. I got the first digit, but I had to give up after 30min, want to see how Simon does this. I fear I'm gonna regret this, this puzzle feels like such a cool experience but I can't do the mental arithmetic required :(
yay another video to watch in bed while im playing on my Sudoku app
Shoutout to Maverick - the only person to be mentioned on every single video that I've seen - I really hope it's different people with a PPL.
Indeed genius puzzle!
Unbelievable!
(Disjunction is the logical OR operator, like the cages have 4 different possible sums)
I got the 9 in, and then got stuck. Good job, Simon.
26:14 for me. strange logic, but i loved it.
You do all the deduction more piecemeal than I could, I had to write out the values of cages and deduce the potential combinations of cage sizes that fit them.
Doing that I deduced that only 14 was able to have a 2,3,3 combo of cage sizes, and the only values left were 13,12 for the 2,2,4 combo of cage sizes, which broke it open for me. All in all I was probably just scribbling for half an hour.
The combos are surprisingly limited though, and I knew the kinds of sets I was looking for inside the cages at that point, which quickly started forcing them.
I also did the ABC to determine the [redacted], which opened a lot up, after that the deductions of the individual 2 cages were nice but hard for me to see at times.
Why can't yellow have 4+3+2 cage sum up to 15 each? 26:50
Earlier, from around 25:15, he worked out blue was the other colour that used all 9 digits, and therefore was the colour that summed to 15. Yellow couldn't also sum to 15. It had to be one of the two colours with 8 digits only.
I'd love to see this guy solve a normal sudoku with no extra rules. 30 second video.
You could have figured out that colors with 8 cells each needed to have 3 cages each much earlier. If it was 2 and 4 instead, then that implies one of the colors has two cages of size 4 (since there are no cages larger than 4 cells). But the only two cages with 4 cells are touching each other and can't be the same color.
37:59 beautiful deduction
16:18 prediction: So if 9 cells are used to contribute sums, then they have to be spread into 3 cages that get a total of 15.
Sometimes it just takes going to sleep. I struggled and struggled with this for far longer than I care to admit. I did see all the logic in the end, and it was beautiful. The key piece I was missing was the way to rule one of the options out of the three-cell cage at the bottom. I sadly did end up just picking one and it was the right one, so I went back and had a look, but after another two hours and the start of a headache, I went to sleep. When I woke up, it only took ten more minutes to spot the problem. Spoiler warning: At this point in the puzzle I had one set of cages isolated to include a three-cell and a four-cell. If I made the other three-cell go along with the other four-cell, then there would be at least 7 different digits in each adding to a minimum of 28. This divided by two gives 14 for the sum, but if they took a two-cell region, then they would have all nine digits in three cages giving a total sum of 45 divided by 3 to get a sum of 15. That means that the possibility of both taking a two-cell region isn't possible as that would give both the same sum. One must take and one must not take with one being 14 and one being 15. This creates a problem, though, as that means the two missing digits from the four sets of 1 to 9 are missing from one of these two sets and the three-cell cage in the middle would have to take three two-cell cages (3+2+2+2=9 digits) to not be missing any, but that makes the total 45. Here's a little secret, 45 isn't evenly divisible by 4...which rules out this whole scenario of there being two sets with a four-cell and a three-cell cage. From there the one I had picked the night before was the only option and the rest of my logic being sound, I finished the puzzle, and thus rest my case, my brain, and now to enjoy seeing CtC solve this in spectacular and unimpeded fashion. I humbly bow to their incredible abilities. Thanks again for another wonderful puzzle, and as I'm sure it will be, just as amazing solution video.
So glad my logic was basically the same, even though it took me more than five times as long. Thank goodness it was the weekend. I liked how you were able to throw math around in your head so easily to figure out that it required two sets of 8 digits. I had to work the long way around to rule it out (explained mostly in my first comment, just missing a few earlier deductions that you use in the video). Even doing the sums as quick as you do, lol. I still have to use a killer cage sum cheat sheet/program, although the more I do it, I am getting certain intuitions that are more quickly proven.
Can I just say, it is a wonderful thing seeing these videos and being able to solve these puzzles. To you and many others, it may seem like simple fun, but doing these regularly really does improve basic math skills.
Thanks for all the entertainment and learning!
proud of myself for finishing this one!
I have been watching for a couple months now and this is the first time i am totally lost in the beginning. I get the basic gist, but i can't follow along as you talk it through, which i usually can.
54:49 for me. And no need to tell us, we all know Jay's a genius.
My cut-off for attempting the puzzle is about 20-30 minutes, although I do sometimes try to spot the break-in on longer videos. I'm slowly improving at variant sudoku but I don't yet have a hope of solving anything that produces an hour-long video on this channel 🤣
That's how many of us started - be warned ...
Conjunction Junction was part of a series of animations that taught various concepts. So I assume the title is a play on that. And you have to use disjointing to solve?