The Most Astonishing 4th Digit

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  • เผยแพร่เมื่อ 17 ม.ค. 2025

ความคิดเห็น • 117

  • @Phurba13
    @Phurba13 หลายเดือนก่อน +32

    I'm glad to see this puzzle featured. Great solve by Simon. I hope he is well or gets well soon!

    • @Paolo_De_Leva
      @Paolo_De_Leva หลายเดือนก่อน +3

      I am glad this puzzle was finally published, because it fully deserves to be.
      Magnificently magnificent. You are one of the best and I am honoured to have the opportunity to enjoy your art
      👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏

    • @hamishwatt2475
      @hamishwatt2475 หลายเดือนก่อน +3

      So is the dot in box 9 an egg or a poo?

    • @Phurba13
      @Phurba13 หลายเดือนก่อน

      @@hamishwatt2475 I leave it to the solvers to decide.

    • @JohnRichardsII
      @JohnRichardsII หลายเดือนก่อน +2

      @@hamishwatt2475 🤣Now I can't unsee it. 🕊💩

  • @Kairamek
    @Kairamek หลายเดือนก่อน +47

    I love it when Simon says "It's filling itself in," like he didn't just spend 30 minutes working through logic.

  • @MisterM2402
    @MisterM2402 หลายเดือนก่อน +50

    18:28
    Simon: "And that gives us our first digit in the puzzle."
    9: "Am I a joke to you?"

    • @shaunelliott8583
      @shaunelliott8583 หลายเดือนก่อน +7

      Simon: "Well you are a bit trivial"

  • @MarkBennet10001
    @MarkBennet10001 หลายเดือนก่อน +4

    This is a simply beautiful puzzle - one very clear concept, two hard-working dots which are surprisingly effective, and a smooth finish. Very pleased to see it featured.

  • @xy00
    @xy00 2 หลายเดือนก่อน +63

    A hidden gem of CTC. I've no idea why this wasn't uploaded, but I'd like to take this opportunity to thank you, Simon and Mark, for all you've done for me and everyone who enjoys the channel. Cheers!
    (this may now be the only video where ALL the comments are kind.)

    • @chris5619
      @chris5619 หลายเดือนก่อน +3

      What is this sorcery?!

    • @RecreationallyCynical
      @RecreationallyCynical หลายเดือนก่อน +5

      @@chris5619 This is a prerecorded video, first uploaded a month ago, but somehow xy00 managed to sneak in and comment before Simon could mark the video unlisted/private

    • @DIYTAO
      @DIYTAO หลายเดือนก่อน +8

      When Simon greets with "Welcome to today's edition of cracking the cryptic," it means that this is prerecorded buffer episode. For some reason he has not been able to make his regular puzzle today.

    • @xy00
      @xy00 หลายเดือนก่อน +9

      This was just in a CTC playlist I was watching, so they must have accidentally added the unlisted video to a playlist. Didn't realize it was a buffer episode, my mistake.

  • @spreekstem
    @spreekstem หลายเดือนก่อน +19

    Get well soon, Simon! ❤
    [ETA:] What a lovely puzzle. Thank you, Phurba!

    • @Paolo_De_Leva
      @Paolo_De_Leva หลายเดือนก่อน +2

      I am glad this puzzle was finally published, because it fully deserves to be.
      Magnificently magnificent.

  • @tom.e
    @tom.e หลายเดือนก่อน +7

    Funny how this puzzle heavily uses the pigeonhole principle, brilliant naming

  • @chocolateboy300
    @chocolateboy300 หลายเดือนก่อน +5

    I finished in 98 minutes. That was indeed an absolutely stunning fourth digit. I did feel like Simon for a moment when I spotted. I even explained it to the imaginary audience. While that part was awesome, I think my favorite part was the geometry around the other dot and how no digit from the 1-6 set could go on the bottom cell of the dot. It always created a 123 triple in the wrong place that ruled out the other region sum in box 1. That was so cool to see. Another minor deduction that was cool was seeing that 1 couldn't go in r5c4 due to r4c4 being an 8 and forcing a 1 into r4c9. This forces the region sums in box 4 and 6 to share a 2, which now must go in r4c6, partnering with 7. This now breaks as 7 and 8 both see r4c8, which could only be a 7 or 8. It didn't do much, but it was cool that it happened. I very much enjoyed the way this one worked. Also, pretty picture. Great Puzzle!

  • @SvenBroos
    @SvenBroos หลายเดือนก่อน +14

    Sending love Simon! ❤

  • @al129
    @al129 หลายเดือนก่อน +129

    Another from Simon's back up videos... I hope all is well.

    • @sarahlowes1501
      @sarahlowes1501 หลายเดือนก่อน +12

      Simon said he was fighting the beginning
      of a cold., Maybe he has a sore throat atm. Although we are now mid December and that means catch up with friends for drinks and meals before Christmas but even a slightly hungover Simon has done videos in the past unless there would have been a timing issue to film and edit a new video to get it up on time.

    • @xandermouser2216
      @xandermouser2216 หลายเดือนก่อน +5

      He did say he was going to be in new York around this time

  • @kosumi68
    @kosumi68 หลายเดือนก่อน

    Delightful setting, and a strong solve! Very elegant rules. The 67 pair made sure the puzzle resisted after the break-in, which was magnificent. Hats off!

  • @karabatut
    @karabatut หลายเดือนก่อน +16

    Watching these videos without an academic pressure just isn't the same 😪

  • @Stratelier
    @Stratelier 29 วันที่ผ่านมา +1

    Wow, what a break-in for this puzzle.
    1 - Due to box 5 we can conclude that the region sum (and r4c7) = 9.
    2 - There are only three ways to sum 3 digits to 9: 1+3+5, 1+2+6, and 2+3+4.
    3 - It can be proven that every pair of rows/columns with 3 such regions cannot repeat any specific combination of digits. Thus, each cage must contain _two_ of (1,2,3) -- crucially forcing digits outside those cages to be 4 or higher. Which immediately restricts all four corner squares to a range of (1,2,3) and gives us our first digit other than 9.

  • @Gonzalo_Garcia_
    @Gonzalo_Garcia_ หลายเดือนก่อน +1

    24:44 for me. What a break-in and what a puzzle! Loved it!!

  • @MsNosis
    @MsNosis หลายเดือนก่อน +37

    am I the only one who thinks the two white dots look like the dove's eye and .. ehum.. dove droppings? it would make sense, because even peace doves need to go to the toilet too :D

    • @allendracabal0819
      @allendracabal0819 หลายเดือนก่อน

      They don't need to GO to the toilet. For them, the toilet is always directly below.

  • @ericpraline1302
    @ericpraline1302 หลายเดือนก่อน

    Some very elegant logic, thanks. I feel I laboured over it somewhat after finding that fourth digit, which was rather splendid.

  • @Kirbyfan87827
    @Kirbyfan87827 หลายเดือนก่อน +4

    I actually deduced the three-cell region sum segments were all different via sudoku- if, for instance, the line segments in boxes 1 and 4 had the same three digits, those three digits would go in column 1 in box 7, and that plus box 7's own region sum line would leave three cells that must sum to 27, and that's the case for any two three-cell segments in the same rows or columns. The thing about four cells in a column having three separate digits among them is a lot simpler, of course, and I completely missed that, but I'm kinda proud of the way I was able to figure it out. Of course, I had no idea where to go from there and had to follow along with the video solution to finish in 17:13.

  • @davidhughes7174
    @davidhughes7174 หลายเดือนก่อน

    Thank you Simon, an enjoyable solve from a lovely puzzle.

  • @iuriikononenko9238
    @iuriikononenko9238 หลายเดือนก่อน

    The way Simon went crazy with pencilmarking is just great!

  • @Anne_Mahoney
    @Anne_Mahoney หลายเดือนก่อน

    That's two puzzles from the vault in a row: hang in there, Simon! Take care of yourself -- get well soon. 😻🙏

  • @livedandletdie
    @livedandletdie หลายเดือนก่อน

    I truly love this puzzle, Region Sum lines are truly astonishing and wonderful to solve. Only 22 minutes.

  • @penningmeestercgkdelft9159
    @penningmeestercgkdelft9159 หลายเดือนก่อน

    What a wonderful debut, the grid looks quite empty but great! I really enjoyed the break-in and I seemed to have discovered the same logic as Simon did for a long time, but eventually I completely broke the puzzle. :-( A nice solving experience again nonetheless. An watching the solve and see Simon enjoy his discoveries is a good consolation.

  • @charlier.k4934
    @charlier.k4934 หลายเดือนก่อน

    You smashed it in a fraction of the time i did!
    After id got those initial three 9s in, I had to come back to the video and get a tad bit of help because i got stuck for an hour.

  • @leefisher6366
    @leefisher6366 หลายเดือนก่อน +1

    0:34 - And the other dot, representing something doves (which are pigeons) do a lot of.

  • @ruminator2943
    @ruminator2943 หลายเดือนก่อน

    Loved this one! Quite fun.

  • @Paolo_De_Leva
    @Paolo_De_Leva หลายเดือนก่อน +1

    _"I think ... I just have to propagate this box [box 9] somehow"_ (Simon @21:50)
    Yes, before analyzing the white dot in *box 2* you should have deduced that either
    *r3c7 = 4,*
    or
    *r6c7 = 4,*
    with *2* and *3* in its blue segment in *column 8.*
    Hence, by sudoku
    *r3c7 = either 3 or 4*
    (and the same is true for r6c7, of course)
    This would have made the following deduction (@26:56) a little bit easier to grasp and to explain to viewers.
    👉 In other words, it would have made the 4th digit *less astonishing* 🤣

    • @Paolo_De_Leva
      @Paolo_De_Leva หลายเดือนก่อน

      Anyway, the deduction was astonishing and the explanation was crystal clear❗
      👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏

  • @situzone
    @situzone หลายเดือนก่อน +14

    @wirtualtv coop sometime? Would love to see Simon play Trackmania and Wirtual solve a sudoku (maybe while sliding on mayonayse)

    • @MasterHigure
      @MasterHigure หลายเดือนก่อน +2

      I was wondering about that too. The chapter title seems like just a copy-paste error if you ask me, but we could hope there is more to it than that.

    • @Giveyouthesquid
      @Giveyouthesquid หลายเดือนก่อน +1

      @@MasterHigure wirtual talked about liking the channel, so probably isn't a mistake

    • @MasterHigure
      @MasterHigure หลายเดือนก่อน +1

      @@Giveyouthesquid That's encouraging. And I've seen Wirtual have fun with chess, so sudoku isn't entirely wrong for him, even though it's a bit off-brand. But seeing Simon race around in an F1 car would be strange.

    • @snowfloofcathug
      @snowfloofcathug 19 วันที่ผ่านมา

      @@MasterHigureWirtual has also done collabs with Will Anderson about Scrabble too

  • @A_CC_K
    @A_CC_K หลายเดือนก่อน

    Another brilliant solve from Simon.

  • @tms1624
    @tms1624 หลายเดือนก่อน

    I am humbled by the master once again.

  • @Rubrickety
    @Rubrickety หลายเดือนก่อน

    I'm so sad I was unable to find that gorgeous break-in. I caught a whiff of it, but couldn't quite make the right generalization. Brilliant puzzle.

  • @stuartmcconnachie
    @stuartmcconnachie หลายเดือนก่อน +8

    The dot in box 2 is the dove’s eye. So what’s the white dot in box 9….? 😮

    • @Roblilley999
      @Roblilley999 หลายเดือนก่อน +1

      Bird poo

    • @xChikyx
      @xChikyx หลายเดือนก่อน

      poop

  • @thegolddog5583
    @thegolddog5583 หลายเดือนก่อน +1

    another way to realize that the totals are 9 is to note that for each of boxes 3,6, and 9 there are 3 cells adding up to a total that is less than 10. All these cells are in columns 7 and 8 so only 2 1's can be in these 3 cell totals so for the third 3 cells - it does not contain a 1. 2+3+4 = 9

    • @gabelucente3566
      @gabelucente3566 หลายเดือนก่อน

      For me, the simplest logic was that box 6 tells us that the segment is a single digit value, but in box 5, every cell but one is on a line, which means that every digit but one is smaller than the segment value. Naturally, the digit that isn’t smaller is 9. In other words, if the centre digit isn’t 9, you’d have to add another digit to it to get a single digit value, which isn’t possible.

  • @piarittersporn
    @piarittersporn หลายเดือนก่อน

    Brilliant puzzle.

  • @SCCH286
    @SCCH286 15 วันที่ผ่านมา

    Wow, very nice puzzle

  • @rampantunease6517
    @rampantunease6517 หลายเดือนก่อน

    What a beautiful puzzle

  • @xerodeus2337
    @xerodeus2337 หลายเดือนก่อน +4

    awww I hope Simon is okay... It would be great if someone could let us know

  • @fynnsternis6432
    @fynnsternis6432 หลายเดือนก่อน

    Seeing simons scanning skills at work in those last few minutes was remarkable :) Mr. Simon "Speedy Gonzales" Cryptic at work (i'm sure thats his last name thats always in the beginning credits 😌)

  • @leefisher6366
    @leefisher6366 หลายเดือนก่อน

    18:50 - It's the guano dot!

  • @D4N1CU5
    @D4N1CU5 หลายเดือนก่อน

    Maybe it's because I've spent a fair bit of time on daily killer sudoku with its little calculator tool that allows you to exclude different ways of summing to the same number but the way I think about the beginning is:
    You've got a single digit region so your regions must all sum to 9 or less
    You've got 3 digit regions so the lowest number with a 3 digit sum is 6. Your options are now 6, 7, 8 or 9.
    There are 4 two digit regions in the middle box so your number has to be made 4 different ways using 2 digits.
    The only single digit with 4 different ways of making it from two digits is 9.

  • @nemuchan
    @nemuchan หลายเดือนก่อน +4

    2:54
    It's the time it took Simon to ruin a perfectly fine hairdo :)

  • @leefisher6366
    @leefisher6366 หลายเดือนก่อน +1

    19:40 - The proof that this isn't recently recorded. Simon, let us know what is happening, and if you're alright, please.

  • @MarkWiseTechno
    @MarkWiseTechno หลายเดือนก่อน

    This puzzle took me almost 3 hours. But so satisfying when I got it.

  • @n8style
    @n8style หลายเดือนก่อน

    Shooting Stars that's a blast from the past!

  • @robofox97
    @robofox97 หลายเดือนก่อน +1

    While I love watching Wirtual (great song btw), I'm confused as to his mention in the first chapter, because there seems to be no mention of him in the video.

  • @LednacekZ
    @LednacekZ หลายเดือนก่อน +1

    54:01 for me. i just gave up on the logic and filled it as i felt it should be filled and it worked.

  • @Drachenbauer
    @Drachenbauer หลายเดือนก่อน

    37:05
    i wonder, why hi didn´t directly place the 8 under the 1 in the middle 3x3 square.

  • @MyriamTT
    @MyriamTT หลายเดือนก่อน

    Beautiful !

  • @AWanderingSwordsman
    @AWanderingSwordsman หลายเดือนก่อน

    This was hard. Had to check the video a few times to figure out where to look.

  • @nicoschmidt7618
    @nicoschmidt7618 หลายเดือนก่อน

    Coloring 1/2 took at least 15 minutes off your solve, something I failed to do. You did miss a bit of fun logic, but I am always blown away by the simple, yet extremely difficult to spot, things you do to make solves so much faster and easier.

  • @srwapo
    @srwapo หลายเดือนก่อน

    44:54*, needed help from the video, once to see I had to think about the digits not 1,2,3 around the grid and the second time for using the white dot in box 2 (which I doubt I would have ever gotten on my own without bifurcation).

  • @leefisher6366
    @leefisher6366 หลายเดือนก่อน

    21:35 - OK, was that Maverick, or some eldritch horror?

  • @drchaffee
    @drchaffee 25 วันที่ผ่านมา

    Let us agree that the dot in the lower right is an egg.

  • @shellmichael9665
    @shellmichael9665 หลายเดือนก่อน

    I only knew this was from his backup stash when he got the 3 in the corner and it wasn’t a Christmas three.

  • @compiling
    @compiling หลายเดือนก่อน

    50:47. I found it extremely difficult to work out what was going on with the kropki dot in box 2 and had to bifurcate to get past that step.

  • @titusadduxas
    @titusadduxas หลายเดือนก่อน

    I got the 3 quickly enough but just couldn’t spot the implications of the other Kropki. In the end I had to watch Simon show me what to do there after which it was fairly plain sailing. It did take me over 2hours though!

  • @JeffRaze
    @JeffRaze หลายเดือนก่อน +2

    I normally stay away from uniqueness arguments, but that kropki dot in box 2 being the only difference between the possible locations of 7s and 8s was far too alluring.

    • @MarkBennet10001
      @MarkBennet10001 หลายเดือนก่อน

      Indeed, that generated an expectation when I solved it that suggested where to look

  • @gregind01
    @gregind01 หลายเดือนก่อน

    If the top left kropki dot represents the doves eye, then what does the bottom right kropki dot represent??? 😉😆

  • @StonyRoberts-r9f
    @StonyRoberts-r9f 16 วันที่ผ่านมา

    Similar logic but it was the other dot that got my attention first and what it could and could not be paired with given the 3 combinations adding to 9.

  • @JohnRandomness105
    @JohnRandomness105 หลายเดือนก่อน +1

    If one dot is the dove's eye, what is the other. A dropping?

  • @sagov9
    @sagov9 หลายเดือนก่อน

    I did get the break in quite fast, but then somehow I got incredibly stuck, not seeing the R4C4 had to be the orange for the longest time.

  • @Amafaw
    @Amafaw หลายเดือนก่อน +1

    What's the name of the game plz, is it exist in play store?

  • @bait6652
    @bait6652 หลายเดือนก่อน

    Simons logic is always typically better and this is one of them, getting the right triplet in B2 was nice without stepping. But I like to play was domino/triminio logic
    For me the 8 9sum triplets , one can prove each 3set triple on (doublr-R or C) are distinct
    And then prove the D- triplet pairs are distinct.
    Now curious is without the white dots are their more solutions??? Given the heavy constrained on low digits.

  • @keltdavies8792
    @keltdavies8792 หลายเดือนก่อน

    Got stuck, so I watched the video. Missed the hidden xwing.

  • @iceberg54321
    @iceberg54321 หลายเดือนก่อน

    Crossing into (or exiting) a 3x3 box divide the blue line into segments. Each segment's digits or digit have the same total. (Fixed)

  • @henk-ottolimburg7947
    @henk-ottolimburg7947 หลายเดือนก่อน

    Easier break in, esp. if you expect the sum to be 9:
    Where is 9 in the central box? It can't be on a line.

    • @RichSmith77
      @RichSmith77 หลายเดือนก่อน +2

      It only can't be on a line in the central box because r4c7 cannot be 10 or 11. (Making it more or less the same break-in as Simon's, no?)

  • @ab-ig4ku
    @ab-ig4ku หลายเดือนก่อน

    Is it the white bird crap that was crucial?

  • @thecaneater
    @thecaneater หลายเดือนก่อน

    He was so close to getting the 6/7 in box 2 early on. Then just abandoned it.

  • @jimi02468
    @jimi02468 หลายเดือนก่อน

    Like the old Twitter logo

  • @danielsbaran
    @danielsbaran หลายเดือนก่อน

    if you started from a diff triple, you could have identified from the start the 3 different types of 9 and where they positioned themselves......

  • @wanderlustwarrior
    @wanderlustwarrior หลายเดือนก่อน

    43:42 for me. I went much faster after I wrote down some information.

  • @Ardalambdion
    @Ardalambdion หลายเดือนก่อน

    I spotted the genius in R4C7!

    • @Ardalambdion
      @Ardalambdion หลายเดือนก่อน

      I also spotted the genius in R9C9!

  • @onijester56
    @onijester56 หลายเดือนก่อน

    I didn't see the December snow for the Xmas Three...that means this video is kinda old compared to when it was recorded. Therefore, I hope Simon is doing ok!

  • @zobososhizion6478
    @zobososhizion6478 หลายเดือนก่อน

    00:50:39

  • @David_K_Booth
    @David_K_Booth หลายเดือนก่อน

    I know I'm showing my age, but that dove reminded me of the Plastikman logo.

  • @George4943
    @George4943 หลายเดือนก่อน

    Bird dropping first.

  • @sinajakelic
    @sinajakelic หลายเดือนก่อน +1

    the other white dot is poop

  • @robertcousins2274
    @robertcousins2274 หลายเดือนก่อน

    36:08 for me

  • @TurquoizeGoldscraper
    @TurquoizeGoldscraper หลายเดือนก่อน

    49:08 for me.

  • @daphfried10
    @daphfried10 หลายเดือนก่อน

    Asking for a birthday shoutout this week. December 17th is the birthday of long-time follower Daphne from North Carolina.

  • @Coyotek4
    @Coyotek4 18 วันที่ผ่านมา

    Too tough for me ... this was a total failure on my part. From the logic leading to the titular "4th digit" to the logic behind finding r3c4 to the logic disambiguating the 1s and 2s, I missed all of that.
    *sigh*

  • @Roblilley999
    @Roblilley999 หลายเดือนก่อน

    100 day old video :)

  • @HollowMythology-eu7hz
    @HollowMythology-eu7hz หลายเดือนก่อน +3

    Hi xy00, it's been uploaded

  • @WeAreIndividuals
    @WeAreIndividuals 26 วันที่ผ่านมา

    So the break in for this puzzle was bird poop. Nice.

  • @Jukka70
    @Jukka70 หลายเดือนก่อน +2

    ooh Simon you're in trouble, lol, you sang the wrong song, it's Oh Christmas 3, lol, but ingenious breakin

    • @strawberrymilk3695
      @strawberrymilk3695 หลายเดือนก่อน +5

      It’s a prerecorded video

    • @Jukka70
      @Jukka70 หลายเดือนก่อน

      @nb2vcxz ah, didn't realize that, you're right :)

  • @averygaron994
    @averygaron994 หลายเดือนก่อน

    Yellow/orange was an absolutely atrocious color scheme. Those are way too similar

  • @bigjoemaggie5267
    @bigjoemaggie5267 หลายเดือนก่อน

    What's going on? That was supposed to be a Christmas "3"?

    • @RecreationallyCynical
      @RecreationallyCynical หลายเดือนก่อน +1

      This is a prerecorded video from before Christmas 3 was added

  • @peaoui165
    @peaoui165 หลายเดือนก่อน

    The rules aren't right in the puzzle. The first 2 sentences read: "Normal Sudoku rules apply. Place the digits 1 through 9 in each empty cell." Surely this implies that each cell in the grid should contain all the single digits (omitting 0) and is contradicted by the 3rd sentence: "Digits must not repeat within the same row, column, or box."

  • @dyneeoh
    @dyneeoh หลายเดือนก่อน

    Any reason why the intro chapter had a shout out to @WirtualTV? One of my favorite TH-camrs, would be crazy if they collabed or knew each other or something

  • @xhitman9923
    @xhitman9923 หลายเดือนก่อน

    Why does the chapter intro say @wirtualTV in it? I love Wirtual, but what does he have to do with this lol

  • @Amafaw
    @Amafaw หลายเดือนก่อน

    What's the name of the game plz, is it exist in play store?