The "Miracle Square" Sudoku
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3 жыл бұрын▶ NEW PUZZLE/SUDOKU HUNT INCOMING ◀
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/ crackingthecryptic
*********************************************************************
Today's puzzle features a pretty incredible discovery by constructor Peter Veenis. Can you figure out how a Miracle Square works?! You can play it at the link below.
app.crackingthecryptic.com/su...
Rules:
Normal Sudoku rules apply. Digits in two cells separated by an X sum to 10. Digits in two cells separated by a V sum to 5. For any pair of orthogonally adjacent cells where both cells are coloured yellow: The digits cannot add to 5 or 10; the digits cannot be consecutive (ie cannot have a difference of 1); and the digits cannot have a ratio of 1:2 (so one digit cannot be double the other).
NB There is no negative constraint re the Xs and Vs. ie dominoes without an X, for example, can sum to 10 (or any other number).
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• Cracking the Cryptic -...
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▶SOFTWARE◀
Play the puzzle in the video by clicking the link under the video (above). We are building a website which will allow you to enter your own sudoku puzzles into the software and this is coming soon!
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▶ABOUT US◀
Hi! We're Simon Anthony and Mark Goodliffe, two of the UK's most enthusiastic puzzle solvers. We have both represented the UK at the World Sudoku Championships and the World Puzzle Championships.
Thank you for watching!
Simon and Mark
@PjotrV 3 жыл бұрын
Thanks for featuring Simon! :) Answer to your question: with hours of exploration I discovered this suddenly :)
@livedandletdie 3 жыл бұрын
Absolutely marvelous, it's always a wonder to learn new interesting things about the interactions of differing rulesets and this was most intriguing.
@bertbergers9171 3 жыл бұрын
cool puzzle! thx
@RoderickEtheria 3 жыл бұрын
Much better ruleset, Peter. No confusion at all this time.
@dolf370 3 жыл бұрын
Great puzzle, though I gave up after a while. But did get a bit on the way with the Miracle square, i got that 2 was a possible center, got that 4 could not go in the center, but missed that it only had two possible neighbors,, so had to be in a corner.
@thoughtbyte 3 жыл бұрын
The 2 and 3 in column 9 do not have a V between them. I thought there was a negative constraint, was that a wrong assumption or am I missing something?
@elrichthain 3 жыл бұрын
Fermat’s margin proof, “excluding isomorphs”: somebody’s flexing their math(s) knowledge, and I’m loving it!
@justarandomdood 3 жыл бұрын
Probably comes up in situations similar to phistomefel's ring, right?
Жыл бұрын
I'm a little odd here. I "invented" a game exactly identical sudoku in my teens, 40 years ago. Having no idea that it already existed. I left it and have studied latin squares and other topics in mathematics. 3 years ago I came back to sudoku again.
@sirjohnx 3 жыл бұрын
34 minutes of Simon trying to remember what he had discovered in the beginning
@allgreatfictions 3 жыл бұрын
I already have a tendency to fall asleep during your videos because I find your voice really calming. I'm gonna be selfish and request that you put up some kind of like half hour video with more of that intro. That was beautiful.
@sonalita_ 3 жыл бұрын
I agree, I very often put on one of his megasolves (1 hour +) just to drift off to sleep too. Of course I watch them properly too but his voice is so soothing.
@charlesmarlowstanfield 3 жыл бұрын
It's "I Remember" by Damien Rice.
@sanketlathkar7303 3 жыл бұрын
Oh my god!! I thought i was the only one to do that!!! And now it's more like a habit... i just can't sleep until i put on Simon's sudoku solve!!
@eexistentiamm6322 2 жыл бұрын
Simon's voice is my lullaby lately.. 😆
@TheGoZkid 3 жыл бұрын
Simon: “These two squares are 56” Me: which you do know the order of! Simon: ”which I don’t know the order of” Me: oh...
@cypher686 3 жыл бұрын
Simon has this habit when he is getting excited to miss the obvious
@jerryjones8470 3 жыл бұрын
@@cypher686 oh
@topilinkala1594 Жыл бұрын
@@cypher686 In the earlier videos Simon preached diligence. Always when getting a number check what it means and never put pencil marks without cheking where they go. Then everybody and their uncle started to comment when he did not follow his own rules. Now he's stopped on preaching on diligence and let's the numbers fall down when they do. Nowadays he's griping what to do when there are obvious number somewhere he's missed before and that is quite funny.
@lydiastott9038 3 жыл бұрын
The fact that that 57 pair in the middle box was resolved for ages before you saw it, and then you took a complicated way to get the answer rather than just looking up 😂 loved the video as always
@Mattiasthesecond 3 жыл бұрын
and moments later he filled the 69 pair, but didnt care that it saw a 9 in box 5
@sonalita_ 3 жыл бұрын
@@Mattiasthesecond Simon is notoriously bad at simple scanning - you see this in almost every puzzle - and he's even commented on it a few times. He's a giant brain looking for complex logic instead of simply scanning up/down/left/right whenever a digit is placed or candidates are finalized. We love him and admire his skills all the same.
@mcg6762 3 жыл бұрын
@@sonalita_ I suspect sometimes that he is doing it unconsciously on purpose because it is SO gratifying for him to solve something using intricate logic.
@f.b.jeffers0n 3 жыл бұрын
Rules: 4:21 Let's get cracking: 5:59
@57daysproductions 3 жыл бұрын
thank you!!
@Lyarrah 3 жыл бұрын
you're a hero
@ericjones3692 3 жыл бұрын
When you almost have enough time to finish the puzzle before the puzzle even starts.
@mirthevanhoorn 3 жыл бұрын
OOh that intro! You really outdid yourself Simon. So soothing. EDIT: Also with the podcast you really struck gold! Please please please keep it up.
@MariaVlasiou 3 жыл бұрын
He was serenading us for sign off!
@sama477 3 жыл бұрын
Any content in which you and Mark appear together and interact is welcome.
@dirk5697 3 жыл бұрын
I'm always amazed how you sometimes miss the simple sudoku/number scanning, but then come up with another (often more complex) way of resolving it 😊. Nice puzzle!
@jfirth816 3 жыл бұрын
I've only just started, but I cannot imagine anything will be more delightful that the throwaway Fermat joke at the start. Keep up the great work!
@Sujisan4 3 жыл бұрын
Can we get more of Simon playing the guitar for the intro?
@annek3296 3 жыл бұрын
And singing for the outro!
@totalal4601 3 жыл бұрын
An offshoot channel for Simon plays?
@stevieinselby 3 жыл бұрын
Simon, Simon, Simon ... please, just use a pencil and paper (or Notepad) rather than trying to remember permutations in your head! 25:50, the reason you can't remember how it worked is because you don't have enough information to make it work. The miracle square can be flipped and flopped, rotated and reflected. What you've got in the grid has symmetric candidates, and without resolving one cell in r1 or r3 you've still got two options for it.
@ryangallagher7183 3 жыл бұрын
I 100% agree. This would have been a lot more interesting to watch if he had just written a note about the pattern of the magic square that can be rotated or flipped right when he discovered it (and put a version of it up in the video like he said he would). Still a great video as always.
@Jaxom35x 3 жыл бұрын
"These two are a 5-6 which I don't know the order of...." bottom right box (9) holds a 6. Proving once again Simon doesn't look at the bottom right of a sudoku puzzle. The one off comment I read a while ago just keeps proving right. Awesome to stay on point Simon, thank you. It is so much fun to watch you and Mark solve these puzzles.
@aislinnvoll9497 3 жыл бұрын
I'm not very mathematically aligned, or good at sudokus, but I love filling in sudokus along with your videos because it's extremely calming but also challenging in a fun way!
@BlueDragon407 3 жыл бұрын
16:34 was my time, after spending about a half hour figuring out the only possible arrangement of the numbers in the yellow boxes. Great discovery!
@tylerowens 3 жыл бұрын
Beautiful puzzle. One of my fastest solves and perhaps one of my best. Half the time was spent discovering the secret of the miracle square, and after that the puzzle nearly solves itself.
@amoswittenbergsmusings 3 жыл бұрын
Glorious addition to the canon! The untold mysteries of 9x9 continue to give and give. I thoroughly enjoyed that solve, clocked at 23:11. Once I found the unique miracle square up to rotations and reflections, the logic sort of dictated itself, the sign of a real master setter. It isn't always the degree of difficulty that makes a sudoku memorable. This discovery of the miracle square is not going to show up in puzzles like the celebrated Phistomephel Theorem does, but it is not easily forgotten. What a gem! Now I am going to watch Simon.
@PjotrV 3 жыл бұрын
Thanks a lot :)
@ravirubenstein4444 3 жыл бұрын
Wait, so the grandfather was a fan of CTC and helped you guys create this puzzle hunt in his will to lead to the pilot episode of the podcast so he could get his grandchildren into sudoku?
@eezacc 3 жыл бұрын
I need more answers
@Soliloquy084 3 жыл бұрын
No it was all lies, Marge and her grandfather don't exist.
@egilaat 3 жыл бұрын
Funny how I've always thought Simon have the same laughter as Damien Rice. Loved the intro!
@Coyotek4 3 жыл бұрын
15:34 ... and for a change, I don't discount my good luck. I realized quickly enough that, up to isomorphism (i.e., accounting for rotations and reflections), there was probably only one possible Miracle Square configuration. I figured out the configuration while playing around in the center box ... and as luck would have it, the orientation I used ended up being the actual one needed for the solution (a 1-in-8 shot). [Naturally, I did get there logically; I did *not* just guess that was the correct orientation.] Fun puzzle ... now there's room for all sorts of 'Miracle Square' puzzles, just like we currently have 'Magic Square' puzzles. (Now for a puzzle where you're told that two Boxes are 'Magic' and 'Miracle' (one each), and the solver has to figure out where each is.) Until then ... wonderful discovery!
@PjotrV 3 жыл бұрын
There is already a heavy debate on the discord with the fear of flooding Miracle Squares, let's hope that when it is applied (same as with Magic Squares) it is used appropriately :)
@hrenes 3 жыл бұрын
watched Peter's miracle quest and then watched this, second time full length. Amazing!
@briannelson605 3 жыл бұрын
Love the intro!
@pshgitl 3 жыл бұрын
You should listen to the outro then!
@Marius5 3 жыл бұрын
I love the singing at the end. Also really enjoyed the podcast. Please keep doing both!
@Richard-en9lm 3 жыл бұрын
I was solving this and found myself going full ‘Simon’. “Oh that is beautiful!” “Brilliant! Just brilliant.” “That is astonishing.” Then I saw it took me twice as long to get it and then I realised he spent 5 minutes talking at the start of the video. I’ll keep practicing! 😂
@schrottdrossel9902 3 жыл бұрын
I joined the ctc discord and discovered this sudoku a few days ago. Nice to see you solving it :)
@mcg6762 3 жыл бұрын
Box 5 can be resolved much earlier if you notice that the 174 triple rules out both 1 and 4 from cells in adjacent boxes. Already at 20:00 you can see that 174 must go on the left side in box 5.
@mordirit8727 2 жыл бұрын
Helped me _a lot_ to do a little bit of goodlifting: put 1348 on the edges and 5679 on the "cross" of the boxes... Makes it _so_ much easier to keep track of how the miracle squares unravel
@sanctionbuster 3 жыл бұрын
72:06. Took an age to battle with it and was pleased when it surrendered itself to me. Now to find out how easy it should have been...
@markmajkowski9545 3 жыл бұрын
21:42 when you get the 79 you can force the 4’s into the top two corners in the center box, because the 79 are in the top 3 of the cross and the 4 goes between them. Then you disambiguate the final rotation.
@kgeiger61 3 жыл бұрын
Nice puzzle, nice logic, and, Simon, nice singing at the end!
@colinheffernan2200 3 жыл бұрын
My first solve of a puzzle in a video with over a 30 minute runtime! Definitely gives me confidence that one day I’ll be able to solve a puzzle that reaches the hour mark on this channel
@wowohmyify 3 жыл бұрын
Had a great time working on this, even though it took several days! I also got super excited when I discovered there is only one way to construct a miracle square (ignoring rotation/reflection).
@thedavecwright 3 жыл бұрын
Couldn't do the puzzle, but I wasn't far from it... Still needed to watch Simon work it out. But what a clever puzzle, really pleasing to watch it unfold.
@JonnyKaufmanTenor 3 жыл бұрын
Wow, that was a fun puzzle! I love that Sudoku constantly lends itself to new discoveries
@matthewender3473 3 жыл бұрын
As a sort of maths person, I rather enjoyed working out the implications of 'miracle square'. :)
@ardemus 3 жыл бұрын
:) I don't solve many puzzles on CTC these days, but "this inheritance puzzle is actually a marketing stunt" was pretty approachable. It would have been charming if it was true, but I have so much good will for you two that I find it charming anyway.
@HANSSTIP 3 жыл бұрын
I posted a puzzle with a similar idea some time ago on LMG but I have to admit Peter's version is better and more elegant.
@HANSSTIP 3 жыл бұрын
My version was called Schrödinger Dots.
@GotG113 3 жыл бұрын
I really enjoyed this puzzle. And the beautiful song from Simon at the end. Also, I was pleasantly surprised by the podcast this morning. I hope to hear/see more of those!
@MichaelGreen831 3 жыл бұрын
Two Simons and two Marks in a single day. I'm feeling quite blessed.
@jodyflint6843 3 жыл бұрын
But Mark’s puzzle has been taken down? 😢
@bethelliot7140 3 жыл бұрын
@@jodyflint6843 it is back up again now though I think
@jodyflint6843 3 жыл бұрын
@@bethelliot7140 thank you 🙏 Edit: I still don’t see it, just the new crossword video. 😢 I’m sure there was an hour plus sudoku solve, that I didn’t have time to look at last night?
@bethelliot7140 3 жыл бұрын
@@jodyflint6843 oh, it's been hidden but I had it in watch later here: kzfaq.info/get/bejne/sLxoksSFvt6zeqs.html The last half hour the sudoku grid is kind of frozen but you can still hear Mark talking
@jodyflint6843 3 жыл бұрын
@@bethelliot7140 thank you. 🥰
@sebrofniloc 3 жыл бұрын
Fascinating! Needed the initial break-in from Simon, but then filled my miracle squares in quite a different order. Nice puzzle.
@40492Uncle 3 жыл бұрын
The filling is great but the intro and outro serenade by Simon is superb.
@bertbergers9171 3 жыл бұрын
good job Simon, thank you, and loving the musical in- and outtro's.
@Akie51 3 жыл бұрын
Yay finally one that i've beaten by myself. I was amazed by the miracle square's uniqueness
@marirella8388 3 жыл бұрын
I really hope you keep the podcast going, it was delightful :)
@NijiRanger 3 жыл бұрын
Whoa! what an amazing discovery! And a beautifully built puzzle around it. Hope to see this used in more ways too! The sudoku scene is so exciting these days.
@squallerrleon 3 жыл бұрын
30:43, If you exclude a lot of mental prep for trying to figure out the boxes. Also needed one hint(at 26:28) to solve.
@Nyarlah 3 жыл бұрын
Amazing puzzle ! And I'm so glad I figured out the square by myself ! That was a 1h22m solve with about 40 minutes on the square itself. How do people find those incredible ideas out ? It's crazy that this square could exist, let alone be unique !
@SorcerorNobody 3 жыл бұрын
Very fun puzzle with some slick logic! With how specific the definition of the miracle square is, it may be unlikely to come up again, but it's so cool that I've made a note of it anyway (next to magic square) in my little Sudoku ruleset cheat sheet.
@prahas777 3 жыл бұрын
55 min. Needed lots of help. What a fun puzzle! And great solve!
@Cellottia 3 жыл бұрын
Yes, loved the miracle square, lots of info in it too 👍
@Poet13xRatedRKO 3 жыл бұрын
I solved it in 59:16. My advice for this puzzle: take a sheet of paper and write down some information about the yellow cells.
@Rubiks37 3 жыл бұрын
The podcast was great, I’d love to hear more.
@chrissolnordal9421 3 жыл бұрын
This was yet another lovely puzzle. Simon, you could have resolved some of the boxes 4 and 5 quite early on. Once you had BOTH a 7 and 9 in row 6 of box 4, and knowing that 4 must go next to BOTH 7 and 9 (this was your first step in the solve), that forces the 4 in box 5 up into row 4. This resolves the 1-4 pair in box 4 and I think leads on to some more deductions around the middle of the puzzle. But who am I kidding? This one took me a couple of hours, and for you, it was about 20 minutes!
@Ulija100 3 жыл бұрын
Very nice. I started exploring the miracle square and got that there's a unique arrangement (apart from rotations/reflections).. indeed a miracle, love it! Solve was sub 10 mins for me with that square in hand (and I'm usually much slower than Simon and Mark), but really fun new thinking from the constraint of having to tile that square in.
@mikepictor 3 жыл бұрын
It's all about that square. I was surprised by what turns out to be the central restriction. Once I had figured out the pattern, I kept a screenshot to one side, and so long you remember it can flip or rotate, the rest of the puzzle isn't actually all that hard.
@logiciananimal 3 жыл бұрын
I've wondered that previously - both our hosts seem reluctant to take notes while solving (not completely so, though, which if anything makes it seem odder) ...
@nishanthn4927 3 жыл бұрын
Wow beautiful logic!! Happy I figured it out...
@sharynjones5861 3 жыл бұрын
This was a lovely solve! First time in a week I’ve been able to do one in less than an hour haha
@fulltimeslackerii8229 3 жыл бұрын
31:09. For the center yellow box, there’s a 9 to the left that disambiguates the 69 pair and a 7 up top that disambiguates the 57 pair but he does the harder trick with 8’s. I love it
@martinwj 3 жыл бұрын
Much enjoyed the podcast - lots of laughter in this house anyway.
@FelipeMesquita 3 жыл бұрын
So proud I could finish it! Took me 2 tries, 90 minutes total, but anyways, that was great!
@danielmaciel6082 3 жыл бұрын
"We're not at all sure that the world needs a Cracking the Cryptic podcast" ah Simon, but it does. It really does.
@marcschlotzhauer535 3 жыл бұрын
Nice work! Had me got tripped several times... :)
@nixhixx 3 жыл бұрын
Loved watching this one.
@aleksandartasevski1576 3 жыл бұрын
Thanks a lot for making this video! Started alone this one hours after it got published on logic master Germany but couldn't solve it. Well done. :)
@pillaysteven 3 жыл бұрын
Gotta love a bit of Damien Rice & Lisa Hannigan!
@GreatUSTreasureHunt 3 жыл бұрын
15:20 "...and now it gets tricky, doesn't it?" Ah, yes, *now* it gets tricky.
@jimmahT 3 жыл бұрын
This was great and so was the podcast!
@hummakavula3750 3 жыл бұрын
This is the first puzzle I think I solved in a completely different order than Simon. Very fun puzzle!
@BillMiller55 3 жыл бұрын
I'm getting better at this. I was screaming at Simon about the order of the miracle square, lol.
@PjotrV 3 жыл бұрын
Always nice to scream at the screen :D
@msx80 3 жыл бұрын
this is the first one i solved completely alone without clues, since i started watching this channel a couple weeks ago :) love the X and V restrictions :)
@eratosthenesieve 3 жыл бұрын
Love the miracle square, loved Marge, love the podcast, love your guitar playing, love your singing.
@BillLamoreaux 3 жыл бұрын
Loved the podcast!
@caseycotreau7050 3 жыл бұрын
Great puzzle and I really enjoyed the podcast
@elainedenning 3 жыл бұрын
Gorgeous intro and outro. Perhaps one day you'll be nice enough to give us an entire middle bit, too
@dmdeemer 3 жыл бұрын
28:53 for me, and I still have time to go home for dinner (EDT). I'm quite happy with that.
@steveunderwood3683 3 жыл бұрын
That one is pretty straightforward, but quite interesting to do.
@theashen 3 жыл бұрын
Pretty proud of myself for solving this
@nickjayyoung7662 3 жыл бұрын
I would like to see the "inheritance puzzle hunt"! I enjoyed the podcast pilot episode, but I enjoy the channel as a whole even more.
@Stephen-Fox 3 жыл бұрын
For the record - I do actually have a mild preference to podcasts showing up on youtube at the moment so I'd appreciate it if you could continue posting them to youtube, even as a second channel, along with the more conventional podcast locations. Very fun video and a fascinating puzzle.
@MyriamTT 3 жыл бұрын
Nice and easy. Thank you!
@WhammeWhamme 3 жыл бұрын
This is the first time I've successfully solved one of these Cryptics without listening to Simon! So happy! I mean I took an hour and quarter to do it, and I ended up screenshotting the square where I worked out a Miracle Square to serve as a reference, but I did it! (the timer was running while I pondered miracle squares). Now to watch Simon do it faster! :)
@hilldaniel 3 жыл бұрын
Yes, please could someone do a video on the puzzle hunt for Marge's inheritance? I am baffled by the whole thing.
@zachariasis 3 жыл бұрын
I would love to see a puzzle with both miracle and magic squares, if it’s possible. Not enough credit goes to the people who can set these type of puzzles
@michaellessnau6647 3 жыл бұрын
As a "note of good work" for the developer. The new selection looks really good, and works great with this yellow background.
@williamgreer7601 3 жыл бұрын
29:05 for me, took me a while to get a grasp on the magic square but once i got the VX's helped nicely to disambiguate the orientation (I ended up with 2 counter clockwise and one clockwise from the squares possible direction)
@boydegg 3 жыл бұрын
I got there in the end with help from Simon. Love the idea of a miracle square.
@glennmelven3414 3 жыл бұрын
Finished the bottom box first after the top box gave me the breakin. Filled in the top box last.
@pirming193 3 жыл бұрын
Awesome discovery! Looking forward to all the new puzzles with the miracle square.
@PjotrV 3 жыл бұрын
If you join the discord, there are already some more puzzles with the miracle square :)
@pirming193 3 жыл бұрын
I am already there under the username fosapifi :))
@jasono8783 3 жыл бұрын
A 20:56 for this one! Lovely puzzle, definitely needed to watch the beginning of the video to figure out what the final pattern of the square would be, but once I had that, I went through the rest of the puzzle with (relative) ease!
@veronikakeras8508 3 жыл бұрын
Love the outro! More guitar and singing please!
@jaundice27 3 жыл бұрын
yes! video about the hunt please
@davidkomai 3 жыл бұрын
I feel so slow that it took me a couple hours to do this puzzle, but at the same time I am really happy to be able to have one more solve under my belt. I feel like I am slowly but surely improving.
@praematura Жыл бұрын
Going back through older CtC videos I missed during a brief period last year I got out of watching on a daily basis (so sorry, Simon and Mark!), and just had to try this one... 31:23 was my time, and that includes around 19 minutes of figuring out what the yellow boxes could contain. This was a very cool puzzle!
@thithildeprouv8310 3 жыл бұрын
My time is 50:53, but I didn't think of the miracle squares before ;) I enjoyed it so much! I think it's my favorite ever (with the first miracle sudoku)
@HelloNotMe9999 3 жыл бұрын
30:53 "And those two are 5 and 6, which somehow I also don't know the order of..." he says when there's already a 6 in column 7... (r8c6) To be fair, it did only take a minute or two to figure that out.
@teruokun-us 3 жыл бұрын
Got it in 16:52! And it was a truly enjoyable solve :-)
@blcmd 3 жыл бұрын
In trying to wrap my head around the miracle squares, I just randomly plucked a 2 in the center and found a solution. With that in mind, I figured there must be many ways to form the square, as 2 was one of the more restrictive digits. Surely placing something like a 5 in the center would be even easier. Little did I realize...
@airhorn1216 3 жыл бұрын
Nice puzzle! I actually managed to solve it in under 29 minutes - when you figure out the only possible arrangement of digits in yellow squares (not counting its rotations & reflections), it gets quite easy :)
@marrykurie48 3 жыл бұрын
"Use the fours, Lu... er, Simon!"
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