A Sudoku With Only 4 Totals?!

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** TODAY'S PUZZLE **
It would be hard to overstate Mark and Simon's love for this puzzle by Jay Dyer called Tetrakiller, it's that good. Do give it a try at the link below:
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Rules:
Normal sudoku rules apply. In each cage, the digits sum to one of four distinct values. No two cages with the same total share an edge. Digits may not repeat within a cage.
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[@jaydyer3999]

Thanks for another wonderful video! I'm glad you enjoyed the puzzle so much, it was a fun one to set as well.

[@benjaminroffey6782]

I've been trying a lot of these puzzles recently, this was the first one I successfully solved. Thanks for setting it.

[@michaelmele3954]

Jay, allow me to eulogize about your brain

[@SheilaMertens]

Wow, absolutely beautiful! Thank you very much for creating it. Managed to solve it in, eh... just under 3 hours, but never mind that, it was every second worth the fun! LG Sheila

[@jdyerjdyer]

Thanks for the very fun puzzle. It made me mentally juggle more than I'm used to, even after using colors, letters, corner, and center marks, but I did solve it. I was surprised that while some of the logic was similar, Simon did quite a bit out of the order I did. I focused on column 6 a lot more than he did, and I focused on box 5 and 8 before locking down box 7. I didn't even touch box 3 numbers (other than R1C7) until the very end and he did that one in the middle. Goes to show that every time you think a puzzle is fairly linear, great minds do not indeed think alike. lol (Either that or I don't have a great mind, but I'd like to think it is at least above average as tested.)

[@btestware]

@@jdyerjdyer Fairly linear? To me, the odd thing about these great Sudoku puzzles is the extent to which there is so often only a single path (witth minor variations) leading to solution. I grew up solving math puzzles, and one of the great attractions to me was the way in which there could be multiple solutions of a completely different nature...the same puzzle could be solved with linear algebra, complex analysis, or number theory. Sudoku is very much the opposite; and yet none the less charming for all that. Having said that, I will agree that the present puzzle has a fairly large number of alternate logical breakdowns at various points, all tied in to the larger framework of the constraint on column 6. Really enjoyed the puzzle. You're not a relation of Jay Dyer the creator are you?

[@tremkl]

Simon: “If we make that green…” *makes it purple*

[@2beinteresting]

And we're chuckling along

[@longwaytotipperary]

😂

[@davidrattner9]

Agreed...noticed it right away..got to love Simon :-)

[@longwaytotipperary]

@@davidrattner9 😄

[@bobh6728]

Fits right in with making “U”s “E”’s

[@SmartHobbies]

I love that Maverick flew by right when he got the first digit!

[@LiquorStoreJon]

And then returned at the end, in the form of tweety birds!

[@Jodawo]

Quite a difficult puzzle with some very genius setting and logic. I think Simon did a great job not only solving the puzzle but being able to keep us along for the ride. His way of explaining logic enables most of us to be able to follow along even though doing the puzzle personally would be much too difficult. This puzzle is definitely a bookworthy edition if this channel does put out another book.

[@nickburton5871]

I wanted to have a go, clicked below, read the rule set, noticed how long it had taken Simon, closed the grid, settled back to watch the video. Lovely puzzle, but too tough for me at the moment. But I'm learning!

[@y_prime]

solved in 22:25 - taking the three large cages in column 6 together vs. the other cages of the same colors which use box 5 yields an interesting constraint

[@inspiringsand123]

Rules: 04:23 Let's Get Cracking: 05:00 Simon's time: 57m30s Puzzle Solved: 1:02:30 What about this video's Top Tier Simarkisms?! The Secret: 6x (51:13, 51:16, 51:34, 51:38, 51:48, 51:48) Bobbins: 2x (35:50, 42:43) Goodliffing: 1x (21:36) ​Scooby-Doo: 1x (05:04) Maverick: 1x (27:41) You Rotten Thing: 1x (32:55) And how about this video's Simarkisms?! Ah: 16x (07:16, 10:25, 10:27, 14:13, 16:03, 18:29, 21:46, 27:36, 28:28, 35:28, 35:50, 38:19, 44:23, 46:24, 54:27, 58:39) Pencil Mark/mark: 9x (21:36, 22:28, 24:55, 25:32, 25:38, 39:11, 42:47, 46:44, 48:48) Hang On: 8x (18:12, 18:17, 22:02, 23:04, 44:23, 44:26, 51:20, 58:10) Sorry: 6x (11:58, 13:34, 14:55, 18:19, 29:51, 1:01:23) Nature: 6x (38:29, 38:36, 38:40, 39:59, 42:17, 47:37) By Sudoku: 5x (13:59, 25:09, 25:24, 59:43, 1:00:12) In Fact: 5x (06:01, 26:11, 49:16, 53:28, 56:15) Good Grief: 4x (27:59, 50:00, 50:31, 53:11) Lovely: 4x (27:36, 43:21, 58:39, 1:00:07) Wow: 4x (48:09, 49:53, 1:00:03, 1:00:03) The Answer is: 3x (09:59, 20:06, 32:37) Beautiful: 3x (09:01, 40:47, 46:04) Surely: 3x (23:18, 34:15, 48:03) Goodness: 2x (1:02:01, 1:02:26) Bother: 2x (54:40, 57:34) Nonsense: 2x (07:36, 29:51) Clever: 2x (02:21, 51:28) Stuck: 2x (46:52, 48:09) Brilliant: 2x (00:58, 1:02:26) Stunning: 2x (1:02:54, 1:02:54) What on Earth: 1x (39:47) Diddly Squat: 1x (15:27) What a Puzzle: 1x (1:02:23) Out of Nowhere: 1x (49:55) Naughty: 1x (12:05) Break the Puzzle: 1x (13:48) Fascinating: 1x (28:02) Going Mad: 1x (1:01:18) Take a Bow: 1x (1:03:04) Come on Simon: 1x (22:26) Shouting: 1x (03:28) Chromatic: 1x (14:45) What Does This Mean?: 1x (40:24) The Power of Maths: 1x (45:29) On the Cusp: 1x (55:31) Thingy Thing: 1x (54:47) Most popular number(>9), digit and colour this video: Twenty Two (22 mentions) Six (89 mentions) Yellow (70 mentions) Antithesis Battles: High (10) - Low (10) Even (5) - Odd (0) Higher (2) - Lower (0) Highest (4) - Lowest (1) Column (20) - Row (5) FAQ: Q1: You missed something! A1: That could very well be the case! Human speech can be hard to understand for computers like me! Point out the ones that I missed and maybe I'll learn! Q2: Can you do this for another channel? A2: I've been thinking about that and wrote some code to make that possible. Let me know which channel you think would be a good fit!

[@ribbonduckling1314]

Twenty two: 22 mentions. Now that's the consistency I'm looking for.

[@eliskazitnikova1521]

Simon never fails to amaze me. I have not watched the full video yet but I’m convinced that Simon’s a genius

[@BozoTheBear]

One thing Simon missed for a long time: he worked out there had to be 1234 in the column-6 parts of the 3-cell purple and yellow cages. Those pointed down at the 6-cell green cage, which also needed 1234, and that tells you exactly which cells the 1234 go in (not the order though). That immediately gives a 1234-quad in Box 8, etc.

[@jdyerjdyer]

That's how I solved it. Realized there was a virtual 56 cell and a virtual 789 cell in column 6 box 8 in the two green cells (which I also whittled down to 56 and 78, because 5+9+1+2+3+4=24, too large).

[@jdyerjdyer]

This puzzle had me mentally juggling more than I'm usually comfortable with, but I did solve it. Just had to double check logic quite a few times to make sure I wasn't forgetting or misremembering things. (I also used the letters several times.)

[@Coyotek4]

31:01 ... and I love how this resembles a LITS puzzle after coloring. I had great joy in solving this! Wonderful puzzle!

[@whorlwind]

Anyone else find the amount of time spent dancing around almost concluding the right information about the cages in box 9 while missing it completely suspenseful? Lol

[@goleyeath]

The variants just keep coming! This was really fun to solve. It took some time, but I never felt I got completely stuck at any stage. Fantastic puzzle!

[@gracerutledge]

Whenever I start to slightly understand what he is saying, I feel so smart even though I get lost seconds later. You are amazing dude. biggest brain. You impress me so much

[@wenyuchen5665]

This beautiful setting reminds me of the four-color map theorem --- you can color the map with at most four colors so that no two adjacent regions have the same color, which is exactly the rule set. :)

[@stevesebzda570]

Lol I remember that. Thanks for reminding me lol. 😂😎☕

[@stevesebzda570]

[This'll bring back memories] Teacher's nice instructions beforehand: "Use the side of the colored pencil to shade more evenly." "I don't want to see ANY LINES out there.." Lol [I did it good lol ] [Beginning of 7th grade -- in a school annex off of the main building for extra room before that school was enlarged] I was only there a few months. [Memories -- Gym also] Thanks for reminding me lol. 😂😎☕☕[

[@tsbit]

I never thought I'd ever hear Simon say "thingy thing" lol Amazing puzzle btw. Great solve

[@ryandb5421]

Amazing puzzle today as always! Also, I wonder if Maverick knows that he is a reoccurring character on youtube's most popular sudoku channel...

[@prahas777]

I seem to recall someone saying Mav watches the channel! :-)

[@markp7262]

50:46 finish. Another brilliant offering from our favorite sudoku channel, with a ruleset that flows nicely around the puzzle to start, then pulls every bit of logic out of you to complete. Excellent as always, and thank you!

[@dylanlenn7836]

you know you watch too much CTC when you're bothered by the way he got 6 in box 9

[@grkles7640]

ooh! i loved this one, i'm very happy to see it featured.

[@KevFrost]

This must be an interesting shade of green that I'm struggling to see properly ;)

[@LittleBallOfPurr]

I love the thought of Maverick flying past, banner tailing from the back of his plane... "I knew you could do it, Simon!"

[@mccoyn6144]

And then, the birds were cheering him down the home stretch.

[@piarittersporn]

A very exciting puzzle, which I enjoyed almost two hours.... plus Simons solution afterwards.

[@MattYDdraig]

39:29 Phenomenal build. Incredible how beautifully it comes together.

[@Gonzalo_Garcia_]

33:38 for me. Fantastic puzzle!! Interesting ruleset, lovely solvepath and some coloring involved, this puzzle has everything I enjoy.

[@lewsouth1539]

Great puzzle, and it only took me 96:10 to solve! I haven't watched the video, but I've heard this rumor that Simon can't tell purple from green now.

[@przemekmajewski1]

Great puzzle! Love the inclusion of the "4 coloring theorem". Additionally, small success here, done that faster than Simon (a rare treat)

[@arataya8706]

I loved the birds in the background. It’s fun to hear some animals on the other side of the world. Also, an hour long CtC puzzle is always a good way to spend my time. Your channel is not a waste of time Simon.

[@codewarrior0]

I found out about your channel during a discussion about cryptography and logic puzzles. I had never taken any interest in the game before, or even heard of variant Sudoku. After watching and learning for a few hours, I started playing... and now whenever I am playing Sudoku, my inner monologue takes on a British accent.

[@AquaMusica305]

This has to be one of my favorite type of puzzles tbh either this or the German whispers/maze wall puzzle

[@flobiish]

You were asking if long or short was preferable the other day (and I know I'm behind on my video watching; I'll catch up after my time with my kid). Short, long, big, small, lots of rules, few rules, easy, hard..."but best of all, best of all, it's interesting! It's super interesting." @1:02:34. The other things before the quote matter less to me, and I feel like this is a majority statement, than the quote itself.

[@chesshead]

Brilliant puzzle and solving. Kudos.

[@vidiot5533]

54:45 "Look at column thingy-thing" that got a laugh out of me. Of all the nonsense regarding colors like "Red is yellow" or "Purple is not green", I dont know why thingy-thing being 7 got me.

[@BentKat]

Loved this puzzle! A bit tough to keep up with as a colourblind, but amazing to watch nonetheless!

[@GotG113]

The birds in the background are lovely.

[@ChrisMoewesBystrom]

The wordle challenge made me think that you 2 need to get a third and apply for "Only Connect"!!! I'd love to see you solve the puzzle wall.

[@BigAsciiHappyStar]

lol I know that game show but only because my work car-pooling friend was obsessed with it last year :D And before you ask, do not expect to see me as a contestant any time soon!

[@crystalgehrt8861]

I decided to solve this one after watching Simon, and I still needed some help, but I learned a lot from the exercise. Neat concept.

[@th.nd.r]

This was so ridiculously pretty!! Beautiful setting and solving as always, Jay and Simon! Re: birds - I like the nature noises :)

[@matthewkaseman7457]

Beautiful puzzle and beautiful solve

[@G4M1L]

I'm quite happy to have been able to solve this without having any peek into the video first. (Took me about 3 hours, but I did it.) WIth the benefit of one who has already gone through the logic of the puzzle, i observed that Simon at around 35:00 was *so* close to getting the values of purple and yellow down to 8 and 9, but then lost track and only ruled out 5 from r4c45. Why do I think this? He had already just noticed that 8 could not go into r78c6, it clearly could not be in r2-6c6, so it had to form a pair with the 9 already in r19c6, and these were the values of yellow and purple... Still he got there eventually in a somewhat more convoluted way as usual (,which is very forgivable in a puzzle of that complexity).

[@lumdythelump]

Awesome to watch as always. Rough work day and great to watch you at lunch to calm myself down.

[@shawnmichajluk2044]

Can you do a Japanese Sums puzzle so we can see how it works for the Patreon puzzles this month?

[@MaartenKuif]

As much as I like hearing Maverick fly by during a solve, I prefer the birds singing outside your window on this video.

[@G.Aaron.Fisher]

For a puzzle with such clever logic, I'm surprised at how flexible the solve paths were. I was able to use box 2 to do a lot of the work that Simon sweated column 6 for.

[@Jesthers]

Done in 72:25, again with much help with the video. Watched to 52:47, which was more than I needed cos I realised that I could solve the 2-cell killer cage in box 1 since r2c2 could not have a 1 in it, making the cell a 3 (so my hint time is more accurate to whenever the 1 in r6c2 was placed due to Simon's use of the Secret). I had the 8 in r7c8 placed already, which helped fill out much of the right side of the puzzle, but I can't remember why or how I got that well before Simon. Overall, this was a very fun puzzle that I enjoyed solving :D

[@emilywilliams3237]

Such a great video and puzzle! I took a look at the puzzle before watching, to think through for myself what the questions were likely to be. I find that even if I have no hope of solving the puzzle on my own, I often can be quite close to right on how to approach it if I just give it a good think. I have enjoyed the other puzzles that we have had on this channel with these rule sets that present a limited number of unknowns (such as the cage totals in this puzzle). And as Simon says, this was a very beautiful logical path throughout - difficult (evidently - I cannot say that from first-hand experience, believe me), yet not brutal, and fun and interesting. Thanks, Jay Dyer, for this puzzle and letting all of us watch Simon enjoy it. Also, I always marvel when I look at the progress of the video how quickly the end game of most puzzles goes. This was no exception to that observation - with about 3.5 minutes left in the video, there were still 35 digits at least to put into the grid. Suddenly they all cascaded into place, which is a satisfying thing to watch (especially as Simon's voice gets filled with that satisfied sound that he gets). Two other points: the bird song was really lovely - thank you for sharing your springtime with those of us who are already in summertime weather and therefore (in the South of the US at least) do not have our windows open but are running our AC! And finally, the bonus video of the cryptic crossword is not at all Schadenfreude-producing. It is brilliant with just one little letter wrong in the end. Thanks so much, Simon, for this video!

[@jimdavis2683]

Apologize if this repeats another comment, but I didn't see it in a quick scan. Looking at the puzzle state at 35:43, I thought the simplest way to move forward was: Where do the digits r4c4 and r4c5 go in column 6? Can't go in box 5, can't go in r1c6 or r9c6 because those are the purple and yellow single digits. Most auspiciously, can't go together in r7c6 and r8c6 because by comparison to the box they are in, the remaining 4 digits in the big green box would have to add to 9! Ergo one of the digits in r4c4 and r4c5 most go in r2c6 or r3c6, and the only possibility is a 6.

[@alexanderkolinchenko]

My god I've managed to do 1h+ ctc puzzle for the first time. Simon, Mark, thank you so much for your brilliant work.

[@Ecl1psed276]

How does he input the A's and B's? I can't do it with the CTC player online

[@willemm9356]

Click the cog icon to pop up the config window, and then set Enable Letter Tool: On

[@prahas777]

Settings (the gear icon), enable letter tool

[@KombatGod]

Right now my sound card stopped working so I have to watch youtube with subtitles and one of the things I can enjoy even without sound is Cracking the Cryptic videos for sure. Anyway a funny thing is how whenever Simon hums the subtitles say "[music]" (such as 22:48)

[@paulus-jankieviet2185]

Once Simon said something like “itꞌs going to be very much like a killer sudoku" I waited for the secret in box 7.... sigh of relief at 51:12 “is it the secret?!" Somehow the secret comes up a lot in killer sudokus.

[@josephrion3514]

13:41. Yellow digit is in r2c5. And the purple digit is in r1c6. 16:51 Yellow could be in the purple cage or visa versa with a 126/9 situation so it could be c5r3 for yellow digit.

[@RichSmith77]

How do you know yellow is in r2c5 at 13:41? At this stage, I don't see how you know it's not in r1c5 (if cage green) or r3c5. (I know the logic that limits r3c5 to 1 or 2 is available, but Simon hasn't done this step at this point.) Oh, wait. Did you just correct yourself with the 16:51 comment? They appear contradictory. 🙂

[@AndreAy1975]

Solved it with much help from the video.

[@BozoTheBear]

Great puzzle! Pretty happy to get it in just under 70 mins. When the video is 1 hour plus, I'm usually way longer (or can't do it). Think I'll watch the solve as well, though, as I'm sure Simon did it in a more clever way.

[@Raven-Creations]

Here's the trick I spotted, which opened it all up. It relies on the tension between the green domino in box 5 and the green domino in C6. You have a 9 in a 3-cell 22/23 cage, so the balance is 13/14, and must include the digit from 78 that is not in purple or yellow ) lets call this X. The green domino at the bottom of C6 consists of the digit from 56 that is not in the 5-cell run above, and X. However in C6, the domino must be less than the one in box 5, or we'd have four cells which have to sum to 9 or less. The largest digit that can go in green in box 5 is 6, therefore the C6 cells must include 5, and the box 5 cells must include 6. This gives a 126 in purple in box 2, making purple 9. Yellow in C6 is 134 and 8 at the bottom, leaving 57 in green, and the 7 joins the 6 in box 5, making green 22. B must be 1, and the balance in the large cage is 234. The effect is the same as your break-in, but I think the logic is a tad cleaner, and gets there quicker. How could you leave 3 as an option in R7C9? It's an 8 or 9 cage, with only 23 in the other cell.

[@Swisswavey]

I really enjoyed that. I had a bit of a brain-fart half way through that cost me ages but finished off in 68 minutes. Really enjoyable, thank you so much for sharing it.

[@javsjavs8659]

This one took me 2 hours and 8 minutes lol Great video as always

[@LednacekZ]

50:51 for me. quite an interesting one. had to switch between colouring and sudoku quite often. I liked it.

[@distortedilluminations1328]

"Look at Column Thingy-Thing, that's quite important" is now my favorite Simon quote.

[@prahas777]

What a super puzzle. I especially liked the resolve of box 7. :-)

[@bkaozzz]

There was an easier way to figure out purple. You knew you had to have 1 2 3 4 in purple and yellow on column 6, and you had to have 1 2 3 4 in green in Box 8. The only placas for 1234 in green were in Box 9 and column 5. That would get you a 1234 quadruple on column 5 and a 5 on blue in box 5, which would get you the 1234 in the yellow box, making purple a 9.

[@tabris1135]

wouldn't ir be way easier at the 15 minute mark? figuring out that purple is 6 seems pretty easy. purple cannot be 7 8 or 9 there, as that would break the yellow single cell, due to the purple cell-total being included in the 3-cell yellow cage. Edit: nvm, the cage is not necessarily yellow. my bad

[@mremumerm]

the other way is once Simon figures out the 6789 quadruple in Box 5, we know that Green+Purple+Yellow= 39. In box 8, knowing R7C4 = R8C7 this sets R8C4 equal to 6, which by Sudoku puts a 6 in Purple in Box 2, so Purple must be 126=9

[@JohnRandomness105]

8:45 Notice the single-cell cage to the left, and figure out that your purple-yellow cell must be yellow. (The other must be purple.) Also, the two green regions give a narrow region for the possible green sums. 14:20 I'm calling the purple digit B. I placed B in the top of that row. 15:30 Blue is "at least ten" -- and at most 17, because there's a blue two-cell cage. (Sorry, if I'd listened another few seconds...) 29:25 No, 5 isn't necessary. 123467 adds to 23. (I'm calling E the yellow or purple version of 78. F is the other version.) 36:40 F is my name for the 7 or 8 that goes in the green in row 4. From your pencil marks, green sums to F + 15. So put 12345 and F in the other big green, and it works. You fix a 6 in the box, and disambiguate a number of things by forcing 6s elsewhere.

[@jessevennard2640]

With only 4 colors, this puzzle was certainly Goodliffeable, which I found was easier to keep track and disambiguate

[@handulldtd]

This is a great example of the four color theorem! Every time Simon colors an irregular region puzzle I think about the four color theorem

[@methatis3013]

108:49 with a little bit of help from Simon. This is a really tough one

[@MatthewBouyack]

Starting at 45:00 I was saying, "Just wait, he's about to tell us about 'The Secret'"! Was very pleased when he did at 51:30!

[@MatthewBouyack]

Also, I love hearing the birds in the background!

[@LixLorn]

"This is almost goodliffe levels of pencil marks, I hope you'll forgive me." Forgive, always and without hesitation. We are, however, going to affectionately tease you about it.

[@ericpraline1302]

Feel better about my solve after watching the video as don't think I missed anything startlingly obvious. I constrained the value of blue by noticing that it couldn't contain 1 and 2.

[@DefensorsPacis]

53:49 You can immediately place the 6 in the Pink/Yellow box in C9R7-8; a 3 would imply its partner is either a 5 or 6, both of which were already taken in R8. Regardless, wonderful content as ever!

[@doylerudolph7965]

That one was the one thing I noticed that Simon didn't - I try not to bash my head into the wall on this channel because he often sees things I don't, but that was the key he was looking for!

[@mr_waffles_the_dog]

57 minute mark, Simon's scanning strikes once more :D (I shouldn't complain I've caught myself missing things for 10+ minutes before)

[@furcheismyjam]

Got the color of the 3 cell cage in row 1 before Simon did, that's my win for the day!

[@ricmndy1]

After you got started, you could have marked every cage of 4 or more as Blue/Green as they could never have been yellow and purple since they were a single digit

[@simsplayer9952]

Yellow and Purple must be a 89 combo. Since 7 is the only dight that can fit in green (6 cell green). So green is 957 = 21.

[@Sam_weiqi]

really fun puzzle

[@CS-wx3ob]

Could've used "the secret" in the bottom-right box much earlier.

[@jeffreyturvey5881]

More easier puzzles please!

[@adipy8912]

1:03:09 Have you already forgotten what you talked about yesterday?

[@longwaytotipperary]

That was magnificent! 👍

[@DonaldSjervenE]

Fun puzzle. I think I beat you to precisely one deduction. Late in the solve you had box 9 pencil marked with a 236 in the last cell. Doesn't the secret limit that cell to one of two CONSECUTIVE numbers? So it's not a 6 ... That means ...

[@shteevuk]

Cracking the Cryptic is responsible for around 45% of the box office for the new Top Gun movie

[@SamThe42nd]

Ahh yes, my favorite colour 💜Green!💜 XD

[@kamotskykir]

Hey can someone explain why the B number has to appear in green 6 cell cage (around 25:30)? From what I understand, r8c7 can very well be a different digit from B

[@lightstar86]

The green cell cage can be expressed as 6 cells or 3 cells, so its total has to be from 21 to 24. Whichever total it is, the 6-cell green cage must contain 1 and 2 so it must contain B. B has to appear in c5r3 and in c6r2-6. That means the only place B can appear in the 6-cell green cage is r8c7

[@readams]

Very rare I'd even try a puzzle with a 1hr video but managed it in 87 minutes!

[@theredstoneengineer6934]

Killer is my favorite variant, if I ever set a puzzle it will be a killer.

[@666KoXz666]

awesome!

[@paulhelm971]

Strange how Simon disproves an 8 in column 6 in the 6 cell green cage 35:04 but does not ask where the 8 goes in that column. ie either the yellow cell or the {A} cell (magenta) It would have narrowed down the options for yellow and magenta and give him the green pair in box 5.

[@RichSmith77]

At this point, hasn't he only disproved 8 in column 6 in the 6 cell green cage under the hypothesis of there being a 5 in green in box 5? (From @34:30) All he's heading for at this point is to disprove this hypothesis.

[@paulhelm971]

@@RichSmith77 You are correct, I spent the whole night on this problem and made a mistake in my logic. Thank you for seeing this as was on the verge of falling asleep myself.

[@paulhelm971]

@@RichSmith77 Although I also missed this. at 54:13 how can r7c9 be a possible 3?

[@RichSmith77]

@@paulhelm971 Yes, I noticed that too, while watching. He sees 4 isn't possible in r7c9 and removes that, then runs through the possible options to get to 8 or 9, to get the candidates for the cell below, and both options he mentions starts with a 6 in r7c9, but he somehow didn't realise. 😂

[@xxhollyxx97]

I love these vids

[@DMSColMustard]

@10:46, someone help me out. Why can it not be purple?

[@DMSColMustard]

Nevermind, sorry. Tired brain

[@Ardalambdion]

Is Simon a bit tipsy today? I think the crossword puzzle hit him really hard.

[@Ardalambdion]

Bobbins at 35:45

[@basselyounes9750]

It took me alot of time to spot that 8 and 9 cages in box 2 and 5 were forced

[@timjensen4320]

"Look at column thingy thing. That's quite important!"

[@peterkelley6344]

"Thingy Thing" used to be an Adam Savage phrase; Simon seems to have adopted it.

[@awilliams1701]

if we make that green......LMAO whoops

[@_-_-Sipita-_-_]

33:52 for me.

[@castlespire]

Does purple mean pink in the UK or am I color blind? 🤔

[@PhilBoswell]

At about 55:03 what's the logic behind restricting 2 in that cage?

[@k8giggles]

There is a 2345 quadruple in c7 and the 2 isn’t possible in b9; therefore the 2 must be in c7 of that cage.

[@PhilBoswell]

@@k8giggles thanks!

[@BookofAeons]

I did try this one, but I needed Simon's help with the 6 logic in column 6.

[@Skamba]

35:00 smells like bifurcation - is there a nicer way of finding this?

[@Skamba]

Also the realization at 39:40 "If we try it like this, we get a contradiction"

[@TAHeap]

Simon: there *is* really a *lot* cleaner and simpler logic to get you from about 18:00 to about 42:00 ! Those numbers in *r1c6* & *r9c6* really _should _ be doing you a lot of favours... We know the *green* total is between 21 and 24 and that the numbers in the purple and yellow 3-cages are between 1 & 6. So, what can go in *r7c6* + *r8c6* ? Well, you already know that you have a *yellow* cage in *c6* (at r9c6) and also the (total) value of *purple* at *r1c6* ; you also have the whole of both a both purple and a yellow 3-cage in *c6* with the sole exception of one single cell (r3c5, the one you have labelled B) whose value must be at least 1. Therefore ( *by the secret!* ), the sum of *r7c6* + *r8c6* is 45 - ( *yellow* + *purple* + *yellow* + *purple* - B ), i.e. it is at the very least 46 - 2( *yellow* + *purple* ) Now, the total for *green* is at least 10 more than this (because green has four other cells) so we have a lower bound for *green* that depends on *yellow* + *purple* and decreases as they increase: • if *yellow* + *purple* is 15 or less then the *green* total would be 26+ and so too big to fit in three cells • if *yellow* + *purple* is 16 (9+7) the the *green* total would be at least 24 - but then your central green 3-cage would need to be 9,8,7 so no go! So now we know that *yellow* + *purple* must be *17* (the maximum possible) giving a *green* total of *22* , that *B* must indeed be *1* , and everything else is quite tightly constrained. 😁 This logic is really a lot simpler when you look at it in the grid than when it is typed out: essentially you have two times the totals *yellow* and *purple* in *c6* (minus one single cell) and *green* must total to at least 10 more than whatever is left over...

[@JuanjoTriolo.11]

Today we discovered that, in fact, green is purple.

[@kevinerose]

I'd hang around longer but I have a date with Maverick.

[@stephenmccarthy1795]

Shaking head @36.