The Anti-Miracle Sudoku

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** Today's Sudoku **
After yesterday's puzzle (see more on that below) which contained almost no information in the grid, today's puzzle looks like the setter has been VERY generous - what's going on?! This is a VERY clever sudoku from Marvin Kannhäuser called Medley - it's the quintessential anti-miracle sudoku! Try the puzzle at the link below:
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Rules:
Normal sudoku rules apply. Digits in cages add up to the small clue in the top left corner of the cage, if given. Digits cannot repeat within a cage. The main diagonal (in blue) must include the digits from 1 to 9 once each. Digits within the white circles must appear at least once in the four cells touching the circle. Digits along an arrow sum to the digit in that arrow’s circle. The two digits on the two-cell-palindrome grey line must be the same. The cell with the grey square must contain an even digit. Cells separated by an X must contain digits that sum to 10. Black dots separate cells containing digits with a ratio of 1:2. White dots separate cells containing consecutive digits.
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Опубликовано:

7 сен 2024

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Комментарии : 192

@marvinkannhauser1892 2 года назад

Thank you very much, Simon, for solving my puzzle on the channel! The break-in as shown in the video is exactely what I intended. Maybe there might be another way of breaking into it for someone way cleverer than me and you, but you encountered my intended way. ;) That was such a joy as always, when one of my puzzles finds its way into one of your videos. Thanks again!

@oklux87 2 года назад

keep it up man great puzzle

@MartinFindon 2 года назад

It’s a very clever puzzle!

@DaShikuXI 2 года назад

The entire time watching the video I was convinced there had to be something with evens and odds in column 9. You get 1 free even and 1 free odd digit in there, with the X clue being either even or odd. I wonder if someone smarter than me could finagle a break-in from that.

@marvinkannhauser1892 2 года назад

@@oklux87 Thank you very much!

@marvinkannhauser1892 2 года назад

@@MartinFindon Thank you!

@kimberlypreston6204 2 года назад

Simon's apologies are always so sweet. No, we are not thinking you are a horrible, horrible man because you made a logical error on a puzzle. It is easier to watch a puzzle then to do one. So, when I notice something Simon doesn't, I am aware that he is 1000x smarter than me. I just am able to concentrate differently on the puzzle.

@widgetb 2 года назад

Thank you for saying this so well! I think this all the time, but hadn't found a way to put it into a comment.

@masheroz 2 года назад

Yes. If I spot a deduction or an error, it's only because Simon got me there first.

@MissVindicat 2 года назад

Exactly! Also: he’s not only solving the puzzles himself, he is also recording himself while doing it. Somehow that takes away rather a lot of brain power.

@bammeloner 2 года назад

I always see it like this: I might see something Simon doesn’t, how obviously it also might be. But without him I wouldn’t even know how to start xD

@joeldenring 2 года назад

I always say this, if we had a group of a few people just writing comments, I guarantee he would solve the puzzle in half the time, maybe even a quarter. It's definitely harder to solve a puzzle live and with explanations than by yourself. Just watch Simon play the pencil puzzles when he does the puzzle then explains. He goes super fast.

@SjorsHoukes 2 года назад

I can’t get enough of Simon telling me that I’m one of his favourite people.

@HunterJE 2 года назад

"We need 1s, 2s, *7s* and 9s in this row, the 1 and 2 have to be on this dot which places the 9 over here. Huh that didn't give us much, what next?" I can think of one thing it could have gotten you...

@hhaavvvvii 2 года назад

Frustratingly, that 7 was one of the last digits to be placed even though it would have led to so many digits being filled in.

@bertbergers9171 2 года назад

53:28 Simon does another one of his brilliancy's :) Finding a way to disambiguate the 78 pairs by not looking at where 7 goes in row 1, but finding the 2 in column 4 :P

@MichaelLamparty 2 года назад

I yelled at my screen for quite a while about this one. That one cell would have disambiguated quite a bit of the board, not just the 7&8s.

@tomatomediumrare 2 года назад

@@MichaelLamparty I did the same :)

@YourFavouriteDraugr 2 года назад

This video fit's the theme of overcomplicating everything due to being exposed to too many puzzles. The countless "what do we do now"s when there is something that fills a third of the board screaming at you in the most basic of sudoku rules.

@kindlin 2 года назад

Even with your explicit explanation, I couldn't figure out the logic you we're using for over a minute of examining the puzzle. 49:28 cleared it up for me.

@topilinkala1594 Год назад

When he was doing the kropki dot on the row one he said: This row needs 1,2,7 and 9. Only 1 and 2 of those are consecutive. Then he puts 1-2 pair down resolves the 9 and forgets that the row needs a 7. Typical memory of Simon.

@PauxloE 2 года назад

So it looks like the miracle direction is "give as few information as possible to keep it solvable", while the anti-miracle one is "give as much information as possible while keeping it hard" (but still solvable).

@rosiefay7283 Год назад

The information given is the same in any 9x9 sudoku: it's the information necessary to identify one 9x9 sudoku fill out of all possible fills. From those sudokus I've seen with the "miracle" label, it seems that these are sudokus where much of the information is in rules which don't need symbols in the grid (e.g. anti-knight, anti-king, anti-consecutive).

@Taschenschieber 2 года назад

The opposite of a "Miracle Sudoku" has 77 given digits, and no unique solution.

@bluji1250 2 года назад

so just an unresolvable X-wing? :D

@Taschenschieber 2 года назад

@@bluji1250 Yeah. I think that is the highest number of digits you can give while still keeping the solution ambiguous.

@sanabas1 2 года назад

The 2nd part of the break-in is a lot easier if you put the yellow and blue back on the arrows and continue thinking about the sets. You need two 9s in yellow, they can't both be in circles or box 1 breaks, so at least one yellow x is a 19 pair. That means blue needs a 1, and must be on an arrow with a 2. That means yellow needs a 2, which must be on an x with an 8. That means blue needs an 8, which must be in box 9, and places a yellow 6 in box 9 also. And that means blue needs a 6, which must be on the arrow in box 8 with a 3. So now you know the contents of all of blue and yellow, and the logic to get there is really elegant.

@marvinkannhauser1892 2 года назад

Well done! You basically explaned what I intended in the first place. But Simon's way is great as well. ;)

@sanabas1 2 года назад

@@marvinkannhauser1892 thanks. Was a lot of fun doing this puzzle, thanks for creating it.

@libromaniatic 2 года назад

54:15 5 minutes after being able to put it as simple as it can be Simon finally puts the 7 and my heart rests easy.

@jonatanpersson82 Год назад

After also mwntioning that the row need 1,2, 7 and 9 😂 then dont place 7b🤦

@ShakalDraconis 2 года назад

Repeating what I said elsewhere, because I think this is worth folks hearing, especially those newer to solving and setting : Here's how I define things, and why what you did was NOT bifurcation, it was exploration: BIFURCATION is putting things in the grid, hoping without knowing they are correct. LOGIC is putting things in the grid, trying to prove they are wrong so you can eliminate them. EXPLORATION is when you're experimenting with numbers and rules, trying to understand the mechanics. A good example of Exploration is German Whispers lines. There are a lot of 'obvious' things about them that are NOT OBVIOUS if you've not had them told and explained to you OR experimented with them yourself, just from reading the rules. The way that the high/low polarity of digits must oscillate, the inability to put an inner digit (4/6) anywhere on a line where the adjacent digits see one another, the inability to put a 5 on the line, all of these seem simple and obvious, but if you're seeing the rule for the first time, it is PERFECTLY VALID to just play with putting numbers in to see what effects they have. You're not solving the PUZZLE, you're learning the MECHANICS, and then using that knowledge LATER on the puzzle itself. The way the X/V negative constraint interacted with the German Whispers horseshoes was a new mechanic that Phistomafel had come up with and was demonstrating, so exploring that mechanic in order to understand it is good and fine. We don't want to discourage solvers away from exploration and experimentation. That's how we all learn. And were it not for setters doing the exact same thing, we'd never get these new and amazing mechanics to play with.

@longwaytotipperary 2 года назад

Very well said!!

@concofps 2 года назад

Yes!

@DaShikuXI 2 года назад

Simon could say something like "I wonder if this cell is 6 or 8" and people would start shouting bifurcation. It's like people think you have to be some sort of robot that knows all the mechanics of a puzzle instantly, even if those mechanics are totally new. God forbid you try out an example.

@BlueCyann 2 года назад

The whole way you solve some of these variants is by keeping your mind free and flexible enough to play with the logic. SET is the best example I can think of -- you don't always have any idea where you're going to wind up once you start. You don't even always find the same path as someone else does, you just keep trying until something makes sense. The rigid rules-based approach to solving classical sudokus does a disservice to many of thevariant ones. It gets to a ridiculous extreme at times, to where I've seen someone crying "bifurcation!" at a 2 or 3-step chain of consequences that was clearly the intended way to solve the puzzle. People need to lighten up just a bit.

@956675 2 года назад

I had not seen that explanation before so it was well worth posting. I also agree 100% with your explanation. It would be bifurcation if you just keep going waiting for the puzzle to break then unwind. But placing your own horseshoes, figuring out what works and what doesn't is, as you say, exploration.

@andrea_ryker 2 года назад

The pure joy I feel every single time Simon says he only shares his secret with his favorite people is unmatched. A perfect way to end a day of school

@SmartHobbies 2 года назад

I love it when Simon finds the break in. He gets so giddy.

@glennmelven3414 2 года назад

After 50 minutes of Simon hammering his brain against a Phistomefel hard puzzle, he apologizes for mistake in his logic. Most peoples circuits would have fried by that time. No need for an apology.

@michaelnamuh4567 2 года назад

This channel has made me fall in love with sudoku, thank you for making such amazing videos!

@timcotton1782 2 года назад

Simon, after using the minimal set clues to establish the possibilities for the palindrome pair, I put the two arrows back into the sets. Since they are then identical digit for digit, it helped deduce the 12 consecutive pair in Box6 and the 19 X-pair in Box3.

@inspiringsand123 2 года назад

Rules: 04:06 Let's Get Cracking: 07:16 Puzzle Solved: 54:33 Simon's time: 47m17s What about this video's Top Tier Simarkisms?! Phistomefel: 4x (01:28, 02:24, 02:32, 02:41) Bobbins: 1x (30:28) You Rotten Thing: 1x (52:39) And how about this video's Simarkisms?! By Sudoku: 7x (12:32, 38:46, 44:48, 51:15, 51:19, 52:14, 52:29) Lovely: 6x (01:02, 34:13, 43:03, 44:24, 54:51, 55:06) Hang On: 6x (06:32, 18:30, 31:08, 41:26, 46:06, 49:55) Sorry: 5x (03:12, 24:54, 32:08, 32:08, 36:49) Beautiful: 5x (02:22, 28:29, 29:05, 33:48, 55:10) Obviously: 5x (07:00, 09:44, 10:55, 16:35, 35:13) Wow: 5x (00:43, 00:44, 13:13, 27:54, 29:03) Good Grief: 4x (16:54, 34:13, 37:53, 48:03) Secret: 3x (09:08, 09:14, 48:21) Extraordinary: 3x (01:28, 01:30, 03:39) Gorgeous: 3x (41:58, 50:15, 50:18) Progress: 3x (18:59, 26:32, 48:40) The Answer is: 2x (14:13, 33:53) Clever: 2x (01:32, 50:02) Brilliant: 2x (54:34, 54:37) Come on Simon: 2x (14:56, 44:56) In Fact: 2x (22:24, 24:50) What on Earth: 1x (17:00) Useless: 1x (53:45) Bother: 1x (44:56) Apologies: 1x (32:10) Fascinating: 1x (02:59) Approachable: 1x (03:30) Mea Culpa: 1x (03:09) Unbelievable: 1x (02:24) We Can Do Better Than That: 1x (16:47) Next Trick: 1x (48:40) Most popular number(>9), digit and colour this video: Twelve (12 mentions) Two (124 mentions) Yellow (28 mentions) Antithesis Battles: High (3) - Low (1) Even (18) - Odd (8) Higher (2) - Lower (1) 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!

@ELI-73 2 года назад

Dear computer, I guess it would be funny to have the presence in the video about a "secret" about "45" pointed out in the first part of your post as a true/false variable which answers the question: "Does Simon reveal THE secret about sudoku?". Thank you for your service, you're a quite clever good bot.

@The_ElegyOfSins 2 года назад

I'm always astonished by Simon's ability to find an overly complex explanation mere minutes after ignoring the blatantly easy one :D And after binging most of your videos in the last weeks (I unfortunate only found your channel recently), the one suggestion I might have for your is: finish your thoughts! It's fascinating (and frustrating alike) watching you find a breakthrough and then get carried away by your excitement of what your discovery *could* also mean, that you leave the easy remnants of that initial thought behind. But that little "critique" beside: I do learn very much in terms of logic and deduction and I enjoy your content very much. So thank you for many hours enjoyed "watching a nerd solve a Sudoku puzzle", as you yourself put it so fittingly ;)

@TheEricthefruitbat 2 года назад

With all these new puzzles and their new rule sets, Simon is like a kid with a new toy. He forgets all about his other toys. This is one reason I think there should be at least one day a week for a classic sudoku video. He (and Mark to a lesser extent) needs to remember basic form. All these great, fancy new videos are fun to watch, but do they bring in new solvers who will be doing newspaper puzzles and need to learn basic techniques? I realize there are the older videos, but the quality is much better today. Part of the joy of sudoku, and what attracted people in the first place, is the utter simplicity of it.

@Raven-Creations 2 года назад

I'm tired of telling Simon to finish what he's started, but he seems to think his initial deduction is the only reward for his logic, and immediately looks elsewhere, rather than seeing what else his deduction made possible. A good sudoku is a class of puzzles called minimal information puzzles. They require you to use the information from one deduction to inform the next. For some reason, Simon just doesn't seem to get this. Whenever he says "what's that given me? Nothing", I cringe, because almost always he's just not looked hard enough. I liken a typical Simon solve to a forest trail, where he follows the first marker to find the second, but instead of following _it_ to find the third, he hacks his way through the undergrowth until he stumbles upon the path again.

@challengemodeengaged4851 Год назад

This explanation of set exclusion made so much sense!!!! I was trying a different puzzle where it wasn't explained and never thought about set exclusion

@therocknrollmillennial535 2 года назад

46:36 for me on this one, but including some help from Simon at the start, so not exactly under Simon's solve time, but getting there! :) Wonderful puzzle, thank you, Mr. Kannhauser, and thank you, Simon, for the solve help! You're helping me pass the time I need to heal from my surgery yesterday. Hope all of you who may read this are well! :)

@marvinkannhauser1892 2 года назад

Thank you for the lovely comment! :)

@d4r4butler74 2 года назад

Hope your recovery is quick!

@timcotton1782 2 года назад

@43:35 where Simon uses deductions in Box1 to settle digits in Box7, then studiously ignores the 6 at R1C2 which resolves the 46 pair in Box7, and the 9 at R9C3 which forces the 9 in R3C2, while he wonders how to fix the 249 quad clue. At the same time, that 46 pair in Box7 demands a 4 in Row9 of Box8, forcing a 4 into the black dot pair in Box9, making it a 24 pair, while Simon wanders off to look at the X-pair in Box3 once again, which cannot quite be sorted. As he likes to chide himself, looking past Sudoku to work the ruleset clues. It is his wonderful self-deprecation which has greatly improved my scanning skills since beginning to watch this channel.

@MattYDdraig 3 месяца назад

20:20 The break-in was incredible and paid off with a rewarding race to the finish once it finally succumbed to probing. Great setting.

@christinechandler8757 2 года назад

I love the way the puzzle elements interact! This one was excellent 🙂

@bobstreet2491 2 года назад

I've enjoyed watching you hone in on and then thoroughly polish the Scrabble-bag analogy, complete with the "holding up two bags" gesture. But I admit that I skip through it now that you've got it right.

@malvoliosf 2 года назад

After 46:53, Simon misses that the 7 is confined in box 3 to c7r3 and c8r3, which resolves the 78 in c4r3 and unwinds most of the puzzle.

@MinecraftTheCreators 2 года назад

Good spot! Although his way was more interesting if more convoluted 😄

@malvoliosf 2 года назад

@@MinecraftTheCreators Yeah, that is why I generally prefer watching Simon to watch Mark: Mark is so good, it’s usually just like peeking at the answer. Simon struggles with the puzzle like I struggle with the puzzle, only better...

@nerdx00 2 года назад

I've been yelling at the screen about the 7 in box 2 for at least 10 minutes. He's so much better than me it's crazy so it's so strange to see something he doesn't.

@thenatundi9009 3 месяца назад

This one was way harder for me than I expected! I was stuck for so long that I (kind of) bifurcated a bit... can't wait to see Simon's solve to see how I was such a big dummy!

@longwaytotipperary 2 года назад

Enjoyed this puzzle! Thank you Marvin & Simon! Saw your additional video to yesterday's Phistomefel puzzle in the Patreon's link - very impressed that you went the exta mile to explain a complicated but beautiful solution!

@G.Aaron.Fisher 2 года назад

I went into this thinking it would be a light day after yesterday's puzzle. Not so! This was devious, but delightful.

@adipy8912 2 года назад

Even I sometimes forget things that I'm very familiar with. That's true for all people. Please stop worry about the whisper line.

@davidholt4327 2 года назад

Very pleased to hear that there was a mistake in the Roman Whispers solve. Usually I follow your logic beautifully but I couldn't for the life of me work out how you had placed that 4! Usually if I spot something before you it's because you're focusing on the esoteric rules while I'm still hung up on basic sudoku or negative constraints.

@Gonzalo_Garcia_ 2 года назад

35:27 for me. I needed a lot of guessing in that first attempt though, so once I finished I restarted it from scratch to find a more logical break-in and I did solve it properly in around 20 minutes without any guessing. Tough puzzle, but I did enjoy it, specially on the second attempt.

@MrFix-mt6my 2 года назад

Screaming at my computer, 9 in box 7 then you finally see it, then I'm screaming 7 in box 2 row 1, but great video, you make it look so easy, well done!

@NoobixCube 2 года назад

I started watching knowing I'd have to leave about 40 minutes into the video, but thinking "surely by then, the logic of the puzzle will be clear and digits will just be falling into place". Oh how wrong I was. I'll have to resume this later.

@NoobixCube 2 года назад

On resuming it, it seems if I'd just managed to stay watching until the 44 minute mark, I nearly would have seen it fall over.

@BlueCyann 2 года назад

That was so much fun to solve. About 65 minutes for me, actually amazed to find my way through it.

@joelstevens5670 2 года назад

That was great! I love how the puzzle was quite intricate and yet there were still several ways of solving it after the initial S.E.T. (I ruled out the 7s option using the 12 cage in box 7, the 8s using the black kropki and then replaced the arrows in my initial sets, which led to some lovely deductions). Thanks Marvin and Simon for the solve.

@klaudiaw1832 2 года назад

You have an extremely soothing voice sir This has become one of my favourite channels to watch and relax to

@piarittersporn 2 года назад

An absolutely fascinating puzzle.

@elainedenning 2 года назад

A couple of minutes before you asked where the 3 lived in row 7, I asked where the 8 lived, which cracked it open a little faster. Great puzzle!

@RedGyl 2 года назад

I needed the video's help until 36:28, then I was able to do the rest because I had already worked out that the 12s can't be both be 57. Those are some amazing break-ins that you can pull off. Thank you!

@isavedtheuniverse 2 года назад

This was the most fun I had playing along because there were so many things that you and I found in different orders Simon. For example, around 39:00 you could follow the logic up that made a 6 in r9c9 possible to conclude that a 4 is impossible, but you got distracted first. It was fun to spot it before you and then try it out and come back to the video when I got stuck again. I'm sure you do it on purpose to make playing along even more fun which is just ever so nice of you.

@julieannmyers8714 2 года назад

Quite fascinating puzzle. Thank you!

@iwersonsch5131 2 года назад

Imagine if Marvin had found a way to also include a Thermo, a given digit, and a German Whispers line

@marvinkannhauser1892 2 года назад

That's not that hard. It's harder for them to be necessary. But I have to say, I didn't start with the premisse of putting as many different clue types in ;)

@btestware 2 года назад

@Marvin Kannhauser, that you for a very engaging and original puzzle; and thank you @Shakal Draconis thank you for telling me that I solved the puzzle by exploration, not bifurcation! I didn't do the set theory as intended by Marvin, but eliminated possibilities one by one, and they were all very interesting. The most interesting case was probably my "break-in". I looked at how the grey shaded square interacted with the funny cage and arrows. 8 is easily eliminated because whatever goes on the shaded square has to appear in at least one of the arrows, and 8 is too big for either. But oddly enough 2 is also eliminated, because although it fits on either arrow, it also interacts along the diagonal and creates a problem in the circle clues up in the top box. So I had the shaded square down to a 46 pair. And then I kept working down the possibilities one by one. For example, once I had the lower 12 cage down to a 75 pair, I checked to see if the other 12 cage could also be a 75; and it turned out again to cause problems in the circle clues in box 1. Took me 2 or 3 days but eventually I broke it open and finished it off.

@marvinkannhauser1892 2 года назад

Wow, thank you for investing so much time in my puzzle! Btw great break-in!

@btestware 2 года назад

@@marvinkannhauser1892 You puzzle creators are a breed apart. Can't imagine how you guys come up with such different and original ideas. But of course, where would you be without Simon and Mark to solve your puzzles? It's a great symbiosis.

@markp7262 2 года назад

36:02 finish. After establishing the possible totals from set, I added the arrows back in to make the numbers all match with the two colors. This allowed me to quickly eliminate certain digits. Neither 5 nor 7 can be placed in blue, so r3c9 cannot be either number. Plus if it were a 9, there is nowhere in yellow that could be a 5 to match the one that would be on the arrow. So r3c9 is a 3 (1-2 arrow), the other arrow is 3-6 to match the 3, giving a 9 in r9c3, making the palindrome 9s and a 1-9 pair in the box 3 "X". The blue 6 on the arrow needs to match, but there is no blue 4, so it's not on the box 7 "X". Therefore r9c9 is a 6. The blue 2 on the arrow now needs to go on the box 7 "X" with the 8, which is matched in r7c7. I didn't even consider the effect that the quads and diagonal would have on box 9, but then Simon is so much better at spotting such relationships than I am. I'm just glad that I found an alternate path.

@livedandletdie 2 года назад

Twas a nice solution path, break in a bit difficult but it just basically solved itself slowly but surely once one broke in.

@SpeedyBozar 2 года назад

The procedure around minute 18 to minute 23 is very simple but how you came up with the idea of that procedure looks like complete wizardry. I mean looking at the puzzle and getting an idea to do that seemingly crazy and useless procedure with two 27 digit groups is like time travelling magic knowing what you have to do in order to get somewhere. Not sure if it is beautiful or scary but I will go with beautiful.

@Magidex 2 года назад

Pretty sure this is the most rules I've ever seen on one of these... Sheesh. Always happy to see someone else bang their head figuring these out, instead of me.

@skr6477 2 года назад

you play around in b9 and controll with the quads at b1, all along a diagonal. how great is this to seem playing a sudoku guitar. named medley fits 👍

@falquicao8331 2 года назад

I can tell from the title we're in for a treat

@l0rddr4co35 2 года назад

an anti treat xDD

@th.nd.r 2 года назад

Beautifully intricate set of deductions and ruleset, wonderful setting and solving!!

@johnh2052 2 года назад

Another option at 29:20: the 682-diagonal option in box 9 can be immediately rejected because it leaves no fill for the black kropki dot in box 9.

@patrickdematosribeiro1845 2 года назад

At around 35:00 the thought whether the black dot in box nine can be a one two pair could actually be continued. Simon said correctly that it would force a three in the arrow cell in box seven. The puzzle then would actually be broken because the arrow tip then would also have to be a one or two, breaking row seven. Therefore, the dot must be a two four pair.

@joethornton5321 2 года назад

Absolutely phenomenal puzzle!

@andremouss2536 2 года назад

Simon is a real addict to snyder notations. In this solve - and others as well - on innumerable occasions he jumped on snyder notations rather than do simple sudoku elimination using the plain digits in sight, and he recovers way later. That's probably because he is too good-natured, preferring positive deductions to negative. What is astonishing is that seems not to slow down his reasoning 🤩

@joelstevens5670 2 года назад

Interesting, I think I just found yesterday’s Phistomefel puzzle break-in (a way of determining the whisper lines with just parity logic) less than an hour before watching this video! I will say that from what I saw, the break-in was incredibly beautiful, so I’m looking forward to watching the bonus video. Thanks to Simon for the additional effort, it should be worth it. :)

@StevoMasson 2 года назад

I love these videos, but I really wish you might consider using the timestamp feature for separating the intro, rules and solve for quick navigation.

@sith4life375 2 года назад

Simon, I've listened to you explain set equivalence theory about 472.86 times and I still don't get it. My conclusion is you're an absolute genius. I've learned how to solve "hard" sudoku and variant puzzles because of your excellent explanations. I really enjoy these videos, thanks for all you do!

@charltonrodda 2 года назад

Very basic explanation: think of box 1 and row 1. Imagine row 1 is filled with the cells 1 to 9, in that order. Box 1 overlaps on numbers 1 to 3, and therefore the remaining cells in box 1 are 4 to 9. However, this logic applies regardless of the specific numbers involved - you can shuffle the numbers around and the bottom 2/3 of box 1 will always contain the same numbers as the remainder of row 1, because each of those can be defined as just "all the numbers from 1 to 9 except the ones in box 1 row 1".

@EricElsewhere 2 года назад

I just couldn't solve it without the blue/yellow tiles magic trick that Simon did. I will have to study that again to register!

@EntirelyPointlessContent 2 года назад

Saw this 5 seconds after it was uploaded by chance, what a treat!

@TheCodeGuy12 2 года назад

24:00 this is what I needed. Just amazing work

@DerMarkus1982 2 года назад

4:43 Simon, you're behaving a bit weird about the 9-cell cage's sum. Almost as if there's some kind of a secret! 😁😉🤣

@krtwood 2 года назад

I had some different logic to figure out the upper arrow was 12->3 that I thought was lovely. If you also color the other 57 in box 7 some logic with the cage forces a 57 pair in column 9 and you could already have ruled out 9 which forces the 3.

@Ratzfaz 2 года назад

if u at 30:34 include the arrows again in the blue/yellow set, and pencilmark the naked arrow. u can reduce it to a 1,2,3 arrow. then the 5 in the arrow has no place in yellow. removes also the 9 in the tip. the 7 and 5 in the tip has no place in blue, and u alone with 3 as sum.

@kevinmartin7760 2 года назад

All the 7/8's would have unwound a lot sooner if he had finished row 1 at the same time as he placed the 1, 2, and 9 there, leaving just one blank cell.

@vincet68 2 года назад

Amazing puzzle!

@Coyotek4 2 года назад

After solving yesterday's puzzle, I felt on top of the world ... and then this puzzle pushed me right off. I spent 50 minutes on it before giving up and watching the video. I did try some SET theory, but I used the wrong SETs (I tried using some combination of rows 4 and 9 and columns 4 and 9; I missed the 'correct' path that involved the cage and the three boxes); after pausing the video at the 19:00 point, I *was* able to finish from there, after an additional 40 minutes of effort. One thing I did that I don't believe Simon did: after deducing the digits on the palindrome, I went back and re-colored the arrow marks so I could compare the two sets of 7 digits; that allowed me to more easily fill in those particular digits. In any case ... Nice puzzle, but too tough for me.

@Poet13xRatedRKO 2 года назад

69:22 for me. After I guessed the 9 in r9c3 I still needed forever but somehow was able to make progress. The break-in of this video by using set is way better.

@rileyaquilano4378 2 года назад

Tricky! But very interesting. Keeping track of everything was quite challenging.

@alienrenders 2 года назад

28:09 is my time. Really liked this one. Lots of rules, but all common stuff we've seen before. Break-in is quite elegant. The use of circles with numbers was a little gracious from the setter, but really nice nonetheless. :) Quite slow for me on this one. Kept getting stuck because of bad scanning. Let's see how Simon finishes this one... Woah!!! 56 minute video? Gotta watch and see what happened to Simon here. edit: Ah, Simon just took a long to find the break-in. Here's what I did. It's a little simpler than what Simon did. No need for two sets. Only need one. Shade all the cells in boxes 6, 8 and 9. Remove the cells from the cage. You now have cells that total 90 because three boxes of 45 and removing one set of 45 gives 90 (3*45 - 45 = 90). Remove the arrow stems and shade in their circles instead. They are equal, so total is still the same. In column 9 and row 9, add the X's (shade them). These are 10 each, so we're at 110. Remove column 9 and row 9 (noting that r9c9 is a negative cell since we removed it twice, so shade it in a different colour). 110 - 90 = 20. So the remaining shaded cells minus r9c9 is 20. 2x+y-z = 20 or 2x+y = z+20 where z is r9c9. The possible values for x,y,z are 782, 862, 986, 964 and 942. Simon did see that 782 is a circle on the diagonal. So we can eliminate that. Eliminating 862 can be done the way Simon did, but we can also see that you need an 8 in column 9 in box 3. It can't go in the circle (only odd digits), so it goes on the X, but the 2 in r9c9 breaks the puzzle. We're left with a 9 on the palindrome. 942 is in a circle on the diagonal. That leaves 964 and 986. 964 breaks because it puts a 12 pair around the black kropki dots. It means the other kropki dot in box 8 can only be 24 or 36. In r8c4, it's either 2 or 6 and neither works because you then can't put either digit in box 7. If you try 24, the total is 6 and you must put a 91 in the X leaving no room for a 2. If you try 36, you can't put a 6 in box 7 because of the 4 in r9c9 stopping you from putting a 46 around the X. Another way to look at it is where does the 6 go in the cage when trying 964? In box 3, the 6 must go in column 8 which means the 6 must go in the cage in box 8. This only leaves one cell in box 7 where the 6 can go and that's in the arrow circle. So the stem must be 24. But where do you put the 2 in box 7? You can't because the X is now a 19. I realize this is somewhat of a long explanation, but it's rather easy to see if you ask where does 6 go in the cage and in box 7. And this was easy for me to see because I saw the X's causing problems for 82 (when trying 862) up above and suspected that 46 would likely have similar issues though I had to follow the logic a little further. So I finished the entire puzzle before Simon even got to the break-in. I don't think I've ever done that before.

@Uncle_Mel 2 года назад

Was this video sped up in editing? Somehow it feels 10%faster after having heard Simon for hundreds of times.

@cookiequeen5430 2 года назад

Maybe he had lots of coffee this time

@kindlin 2 года назад

50:01 Ah... he gets it! 46:16 There's always a two on [the dot] ...thus, 2 in the 278 quad must be r3c3! Ah, that little I-got-it-before-Simon-(and-even-easilier!) hit of serotonin. PS: This post lead to a semi in-depth look into the origins of easilier vs easierly; and I just gotta say, I'm torn, but you can see what I ended up going with.

@b3nduncan1 2 года назад

Great video

@peterkelley6344 2 года назад

One of the few puzzles where I could keep ahead of Simon. X number needs to go there.

@melissamiranti4858 2 года назад

29:04 Also the 682 in the corner there completely ruins the black Kropki dot in the box.

@kathyjohnson2043 2 года назад

I love the title...very fun 😊

@McMxxCiV 2 года назад

At 31:54 the thing nagging at you might have been that they definitely couldn't both be 57, as you would end up with no place to put a 5 in box 1.

@9MRSG 2 года назад

Beautiful puzzle. So unique

@_-_-Sipita-_-_ 2 года назад

1:23:26 for me. THIS IS THE FINAL BOSS OF GUESSING SUDOKUS.

@leefisher6366 2 года назад

Not sure if you would like this one, Simon. There isn't a 5 in the middle, and it isn't a three in the (bottom right hand) corner either.

@AndreAy1975 2 года назад

Solved it with help from the video.

@LandOfForeverSummer 2 года назад

I wouldn’t worry about yesterday’s mistake. It’s by a brilliant constructor.

@icantpronounce 2 года назад

row 1 needs a 1,2,7, and 8 we'll put the 1,2, and 8 in but wait till the last 30 seconds for the 7

@meirkara17 2 года назад

Has anyone found a more intuitive way to break into the puzzle? I think it is easy to establish that the two arrows can't be the same digit (because the only digit they can be the same of is a 3 and it makes impossible to fill the kropki dots in box 5 and 6). But from there I kinda got stuck how to move forward. Amazing that Simon did find the solution. The set used in the solve of the puzzle is apparently the intended way, but I can't shake the feeling that there must be a more intuitive way forward.

@justwantawholename 2 года назад

I'm curious why the palindrome line could not just be an arrow clue

@marvinkannhauser1892 2 года назад

Just because as a palindrome it looks more symmetrical. :D

@Al-uv3dn 2 года назад

I think the setter wanted to use as many miracle sudoku clue types as possible. He had already use arrows.

@wariolandgoldpiramid 2 года назад

@@marvinkannhauser1892 Yeah, I always wondered if a short arrow, or short palindrome would be the better clue. And normally I say "use whatever the grid already has, and don't add a new constraint type if you don't have to". But I think in this case, the variety of rules is warranted, and the symmetry of the plaindorome does look nicer.

@RichardDamon 2 года назад

It could have been, but then it looks a bit less symmetrical. The puzzle shows a lot of symmetry on the diagonal (or at least close to being symmetrical) The Palindrome line just looks more symmetrical than an arrow.

@simovihinen875 2 года назад

Well, it's a miracle it can be solved!

@01evansa 2 года назад

2:00 Your apology for the logic mishap is better and more sincere than any current politician. 👍

@crystalgehrt8861 2 года назад

Fun puzzle!

@orzelgryf 2 года назад

I am dissapointed there is no thermometer in the puzzle :D

@marvinkannhauser1892 2 года назад

Sorry for that :D

@tomatomediumrare 2 года назад

It is funny when you say "kropki dots", because kropki means dots in polish, so it sounds just like dots-dots :)

@pixllo 2 года назад

I needed help to solve this one. Brilliant puzzle as always, but it needed a more functionning brain than mine.

@psvjw 2 года назад

You missed something, Simon. 46:56 you placed a .....

@MisterM2402 2 года назад

Is there any way the rules could be reformatted to be more readable/succinct? Squeezing them all into a small box with no line breaks, small font, and in full detail makes it hard to see at a glance which rules apply. It would be handy if on-screen it's just a short bulleted list like "- Killer | - XV | - Grey line = palindrome | etc." and then have a more detailed explanation in the video + description for new viewers. I just wanted to double-check there was no knight's move constraint and it was a pain to have to read the whole thing again.

@user-rd8bk9pm1z 4 месяца назад

Hello Dear Simon Anthony I Have A Question For You The Question Is In Sudoku What Puzzles Are beed Geometry

@Swisswavey 2 года назад

I think I have to concede that was too difficult for me, 2 hours 20 minutes is too long to say I beat it!

@Gephyro 2 года назад

Skip to 4:03 for the actual solving to start.

@GirGir183 2 года назад

10:54 why does that bottom right cell have to be 2, 4, 6 or 8?

@simonrosepetersen333 2 года назад

love the hairstyle today! also great puzzle

@adrianhead6272 2 года назад

Completed in 20m09s

@voidify3 2 года назад

One thing that's funny to me is they didn't need to introduce the X. the same effect could have been achieved with 10-cages

@gdshoe5822 2 года назад

I think it was deliberate to add as many standard rules as possible without creating an easy puzzle. The palindrome could also have been replaced with a length-1 arrow, but wasn't.