Quantum Entanglement: How Complicated Can It Be?

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** TODAY'S PUZZLE **
A stunning new idea from Scojo today (recommended to us by Marty Sears amongst others!) It's called Quantum Entanglement and and certainly the disentanglement is a fascinating challenge. There is even a bit of poetry at the end of the video for those who enjoy such things.
Play the puzzle at the link below:
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Colourblind-friendly version:
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Rules:
Normal sudoku rules apply. Every cage in the grid is paired with exactly one other cage of the same colour. Digits may not repeat within a pair of cages, and when combined, sum to a concatenation of the two numbers in the top left corners of the cages. For example, if a 1 cage was paired with a 3 cage, the digits in both cages would sum to either 13 or 31. 0 is allowed to be the leading digit for sums in this puzzle. Digits separated by a white dot must be consecutive. Not all possible dots are necessarily shown.
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ALSO on Amazon: Search for “SudokuPad”
▶ Contents Of This Video ◀
0:00 Intro music and puzzle introduction
1:12 New IcyFruit requests
2:29 New Patreon competition
4:14 Happy Birthdays
7:38 Rules
9:48 Start of Solve: Let's Get Cracking
1:28:11 Ulysses by Tennyson
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#sudoku #puzzle #ulysses

[@Scojo486]

You found some really cool logic I hadn't considered when I set this! In particular, discovering how roping was not allowed to occur in columns 789 gave you some information that I hadn't intended for you to have quite so early, which was interesting to see. One thing it allowed you to do was mark the 8s in columns 123, which totally bypassed my intended logic for determining that a 28 cage was impossible. My idea was that once roping existed in columns 123, the 2 and the 8 cages are from the same set of three digits, and that would force a repeated digit in the 4 cell cage combo. I won't harp on the unfortunate removal of a certain 8 pencilmark, but I was really glad to see that you rewound the puzzle to do everything again without relying on the faulty logic, rather than just swapping the 4 and the 8 and moving on. You might have seen that mistake earlier if you had asked where r3c9 went in box 9, which would have revealed it as A right away, but it worked out in the end. Thank you so much for not just turning off the camera and giving up when the mistake became clear; it means a lot to me that this puzzle was featured. I had a really rough November/December, and got into a bit of a setting slump for a few weeks. This was the first puzzle I felt proud of after that slump ended, and I'm glad to see that you enjoyed it!

[@anneselwyn6465]

Congratulations on a truly brilliant puzzle.

[@frankwilliamhansen9550]

Glad your slump ended 🥰 I love your puzzles 🤩

[@Ashenshugura]

You know you bring up an interesting point. Not publishing a incomplete solve. I feel that CtC would benefit more from also showing the incomplete solves because it would add more incentive to watch till the end. Otherwise I just know the puzzles are solved on this channel.

[@markusflorianthomas]

I actually really enjoyed the discovery of and resulting recovery the mistake, allowing for a deeper immersion instead of the usual frustration I might have felt at such a point. The puzzle is simply amazing!

[@emdiar6588]

This was an absolute delight.

[@triplebog]

One of my favorite things to do while playing along with these videos is to pause Simon after he discovers something big. Then make a bunch of progress until I'm stumped again, then hit play and roll my eyes at how slow he is at solving the puzzle and how brilliant I am.

[@LorisLaboratory]

You're a treasure, Simon. 🥰 Thank you so much! 😍😄

[@CrackingTheCryptic]

Blimey Lori, it's your birthday and I get a present!! Thank you so much :)

[@davidrattner9]

Happy birthday Lori!! Hope you having a fabulous day. Wonderful to have you part of this community!!

[@A_CC_K]

Happy birthday!

[@olivierloignon6237]

Please do not apologize for being ilogical this was honestly a wonderful evaluation of how to fix your puzzle when you've found an error. I've had so many puzzles I've given up on because I've lead myself to an error, but this gives me the motivation to push through the next one. Cheers and chocolate cake for you!

[@AnnaVahtera]

To make this easier, the second you get the "purple cage" together, you can ask where r3c9 goes in box 9 and conclude the placement of A in box 3.

[@DerRest]

I like how Simon proofs his deductions by running them completey anew, when as far as i can tell he only did 1 mistake, which is ruling the eight out of a spot, where he should've ruled it in instead. Other people would've guesses around, after finding there was a mistake. Simon theoretically restarted the puzzle, kudos.

[@chocolateboy300]

I finished in 399:05 minutes. This was quite a gauntlet for me. I had a tough time doing all the calculations in my head for the comparison to 405, so I made a spreadsheet that looked at the possibilities I narrowed down. A weird thing happened, though. The differences between the different possibilities were always 9. I don't know how that happened or why it is important to this puzzle, but it was neat to see. Narrowing it down this way was really fun to do in spreadsheet. I am absolutely sure that is not the intended way, but I had fun doing. I got hard stuck doing different calculations in my head for the ones I narrowed down. It wasn't until 320 minutes in, that I happened to glance at the rules and see that each pair of cages couldn't have repeating digits. That was a mind blowing revelation, in multiple ways, good and bad. That finally allowed me to take advantage of all my knowledge I had collected. The puzzle was finally relenting and I got my first digit with an 8 in r5c7. I was so happy when that happened. It took me a bit more, but I finally finished. It's amazing when the rules are fully understood, the puzzle becomes solvable. This was such a fantastic idea and execution of a puzzle. So many geometry tricks existed in this puzzle. I think that's why I didn't feel frustrated with this one, despite what my time says. I think my favorite of those was the hidden 19 that formed on the non-blue cells in columns 4, 5, and 6. I very much enjoyed my time with this puzzle and that is saying a lot based on my massive time. Great Puzzle!

[@brianmcadam443]

Every actual digit in the cage totals can be separately placed in either the ones digit or the tens digit. If you simplify that down to a 1 or a 10, you can see that the difference between the two options is 9. As you scale up to higher digits, you just get multiples of 9. 2 vs 20 is 18, 3 vs 30 is 27. No matter how many separate digits you add to the pile and swap back and forth, each digit individually contributes a potential difference of 9. And a giant pile of multiples of 9, all added together, is still going to be divisible by 9. If you're trying to jiggle everything around to get closer to a specific total, you're eventually get really close to most of all of those 9s cancelling out, until you're left with just one of them the wrong way around, and the difference is 9 exactly.

[@martysears]

Brilliant construction; such a cool and novel idea, executed with the sort of mastery you'd expect from a Scojo puzzle. Really happy this got the feature it deserved! Very impressive solve too

[@FrancisFjordCupola]

Took some time to correct that mistake, but good job. When you rewinded, you rewinded to exactly the spot where I wondered if it was a right thing to do and I thought it wasn't. Still, I didn't even attempt to figure this puzzle out myself. Well done, Simon!

[@muzio_gambit]

This puzzle is simply remarkable! I am truly amazed to see how quickly Simon spotted the key insight leading to the solution. As for the mistake... well, we all make a blunder at some point. I can already imagine plenty of comments addressing how the 8 should have instantly been ruled out of R3C9, as it would force an 8 in column 8 in box 9, and there would end up being two 8's in the entangled "2" and "9" green cages. Please remember that it is always easier to spot everything in hindsight than in a real-time puzzle-solving setting!

[@mrrobotman5299]

I'm always in awe of his ability to backtrack to exactly where it all went wrong. If I got into that situation I'd have to start over completely. Or give up and just watch.

[@inspiringsand123]

Rules: 07:49 Let's Get Cracking: 09:54 What about this video's Top Tier Simarkisms?! The Secret: 7x (04:31, 04:44, 10:04, 10:27, 15:06, 1:15:01, 1:15:16) Bobbins: 2x (1:05:10, 1:18:28) The Raven: 1x (04:51) And how about this video's Simarkisms?! Sorry: 16x (02:09, 10:12, 11:43, 13:59, 16:43, 20:35, 29:06, 30:33, 43:39, 52:57, 53:29, 1:03:46, 1:06:53, 1:11:31, 1:13:20, 1:16:34) Hang On: 14x (20:30, 30:23, 31:38, 32:19, 34:33, 36:49, 37:56, 43:32, 48:46, 52:18, 1:06:47, 1:08:59, 1:11:28) Ah: 13x (15:10, 17:09, 17:12, 30:44, 52:31, 58:00, 1:00:25, 1:01:53, 1:08:59, 1:14:40, 1:17:53, 1:17:53, 1:20:42) By Sudoku: 11x (24:23, 36:09, 48:52, 58:57, 1:02:06, 1:03:16, 1:05:56, 1:08:02, 1:11:10, 1:24:24, 1:25:12) Clever: 5x (18:50, 18:50, 41:12, 42:27, 1:27:52) Beautiful: 5x (03:24, 03:26, 23:12, 40:17, 41:08) In Fact: 5x (13:20, 22:31, 31:52, 45:14, 1:20:38) Cake!: 5x (05:19, 05:37, 06:37, 06:43, 07:33) Goodness: 4x (44:36, 1:06:56, 1:26:57, 1:26:57) Wow: 4x (22:20, 23:12, 1:26:13, 1:26:13) Good Grief: 3x (31:31, 1:04:46, 1:26:24) Obviously: 3x (09:08, 10:17, 37:26) Whoopsie: 3x (41:25, 41:25, 41:25) Nonsense: 2x (1:18:51, 1:20:10) Brilliant: 2x (1:27:24, 1:27:27) Hypothecate: 2x (27:31, 45:32) What Does This Mean?: 2x (13:39, 35:24) Triangular Number: 2x (14:30, 27:04) Weird: 2x (20:21, 1:01:00) Missing Something: 1x (34:30) Stuck: 1x (01:58) Lovely: 1x (06:11) Incredible: 1x (07:29) Extraordinary: 1x (1:26:29) Going Mad: 1x (48:30) Gorgeous: 1x (39:53) Surely: 1x (10:55) Plonk: 1x (57:17) Fabulous: 1x (03:21) Have a Think: 1x (51:16) Nature: 1x (42:04) Most popular number(>9), digit and colour this video: Twenty (24 mentions) One (128 mentions) Purple (16 mentions) Antithesis Battles: Even (14) - Odd (2) Highest (2) - Lowest (0) White (6) - Black (1) Column (27) - Row (7) 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!

[@Paolo_De_Leva]

_"I put a lot of store in Marty's judgement"_ (Simon @0:41) Great. Me too.

[@Queue28]

8 hours over the course of two days, with children screaming for most of the time, and 100% worth it! Excited to watch the solve now to see how many times I missed blatantly obvious logic along the way. Absolutely brilliant and my new favorite puzzle over the last year!

[@Coyotek4]

1:00:29 ... I can honestly say that, among sudokus I've successfully completely this year, this one is (so far) the best one yet. Absolutely astounding puzzle!

[@LaughingMan171]

I think this is the longest Simon solve I've managed to find on my own. Loved it

[@Impending.D]

I loved the poem at the end. That was a surprising treasure.

[@kobs_0]

Intriguing puzzle, definitely can't pass on a Marty recommendation! - I got some box pairs quite quickly at a first glance, but based on the long video length I imagine there's lots to do here - so I will have to tackle this one tomorrow most likely. Thanks Scojo!

[@kobs_0]

This was stunning! I loved the logic in columns 1/2/3 disallowing certain combinations or sums to exist due to repeated digits. Normally with puzzles like this I get a bit lost with the direction of logic so I'm interested to see what I could've done differently by watching this solve. Took me 1h19 in total, which I'm not overly proud of, but this is a first that I see a genuinely complicated looking puzzle and just try to figure it out myself and actually find a solution!

[@Legerine]

A huge detour in the middle there, to get right back to the same place pretty much, all because of a misplaced 8.... but it was a fun ride.

[@CarlintVeld]

What a treat this video! Next level mechanics to close off by a beautiful poem!

[@abcadef6171]

Easier way to see that you can't pair the red 2 and 8 cages: by the roping already found, their 4 cells are drawn from the same 3 digits.

[@xatkaa3257]

How could Simon exclude 8 from R3C8 at 33:00? I don't see that. He was sure there must be an 8 in box9 C8, but why?

[@enchanter1520]

It's a mistake. He fixes it 20 minutes later in the video.

[@zoet.]

He confused his numbering with the "box logic", basically. The numbering he applied to the 29 pair made up of the cages in boxes 3 and 9 is one he usually only uses within boxes (what he calls box logic). So even though he marks the 7 possible digits in the 9 cage in box 9, when he sees the 8 in box 6 looking down on the cage he assumes that the 8 has to go in box 9, when it can actually still go in either cell in the length-2 cage in box 3.

[@xatkaa3257]

@@enchanter1520Thank you! I was a bit impatient. But at least I am not crazy, not for sure:D

[@gordonglenn2089]

"Oh, no!" was my reaction when he took out that 8.

[@EODTex]

edit: nevermind, went back through, video skipped ahead, must have hovered my hand over my touch pad perfectly without noticing

[@danielszanto2955]

Listening to Quantum engima by Epica while solving this was definitely the most appropriate puzzle music I've had for a long time. Not that I could finish before the music ended :)

[@kellbyb]

Simon's offhand comment at 1:12:15 about finding the 8 in column 7 actually made the later parts enormously easier for me, it's neat to see how just happening to look in one particular direction instead of another at a given point in these puzzles can make so much of a difference in difficulty.

[@paula-zzz]

Wowww, another movie length video! Thank you Simon :)

[@Gonzalo_Garcia_]

33:04 for me. What an absolutely fantastic puzzle! Probably the best one I've solved this year so far. Loved it!

[@roccov3614]

Although difficult, this solve was oddly satisfying because of all the coloring I had to do. I love a good coloring puzzle.

[@chipsounder4633]

7:22 face as close to the screen.. nomnomnom 😂😂😂

[@bobbie0976]

I started focusing on the red cages and got quite a few digits fairly quickly and ended up just under an hour. Also didn’t need the roping to match the green cages, but that was a very clever trick indeed!

[@Anne_Mahoney]

Thank you for "Ulysses," a poem that's special to me.

[@Eliwynnk]

Damn, that was a beautiful reading at the end there. Need some more Simon reading poetry asmr.

[@GoldenredDragon]

I wanted to try this one, cuz it looked amazing. Well... I never left the pit stop and watched the solve. It was extremely difficult, I am impressed! Thank you for the solve!

[@SusanJoss]

So proud of you Scojo

[@Scojo486]

❤

[@bluerizlagirl]

A new IcyFruit puzzle? Bring it on!

[@tychoderkommentator2989]

I loved your reading of The Raven as well

[@wokkawicca]

255 minutes...this one was brutal yet wonderful. I avoided Simon's error but committed several others and missed many logical shortcuts.

[@mstmar]

i had a simpler ending that didn't need so many cases. at 1:21:00, the yellow cages need a 5, and it must be in col 4. that means that the purple 2 cage in col 4 doesnt have a 5, 6 nor 8. and grouped with the purple 3 in box 4 can only add to at most 22=9+7+4+2, so they aren't paired. the 3 can only be paired with the 0 below it (the other pairings are quite easy to disprove). that takes out the possibility for the purple 4 to pair with the 0 and so has to combine with the 2.

[@easternbrown]

Great solve and great video. One thing that's possible is to add up the cage totals that are known, and consider how many more units and tens digits are necessry so that they all sum to 405 (given that the cages cover the whole grid). This maybe helps to resolve which cage are which with a little more clarity. Or just thinking about the cages in cols 4-6 could also do the trick, possibly.

[@lelandashmore9522]

That was one of the most difficult puzzles that I solved on my own. I almost had to check the video.

[@too_ql]

LC (sudoku genius in training) - that was so wholesome, have a great life newborn!!!

[@gameboi4107]

Your channel is awesome

[@prokopii18]

55:07 - when Simon starts all over due to the mistake.

[@sanfransam8954]

You knew that this was a serious solve but i didn't hear him once say "box thingy" or "column thingy" 😄😄😄

[@zirco77]

What a genius idea, and brilliant setup! A bit hard, and that's how I like them! And for the first time since the app extended its color palette, I used most of it (from all three "pages"), one shade for each pair 😅 That made it quite colorful.

[@vjay4297]

I loved the pencil marks.. it felt *good*..

[@emilywilliams3237]

Very interesting concept and puzzle - thanks for solving this, Simon, and to Scojo for setting it. I never am sorry, truly, when you or Mark has to backtrack a bit, because I learn almost as much from your correcting a mistake as from the majority of correct deductions. (And thank you for reading Ulysses - I am sure I read that in school, but I had entirely forgotten how wonderful it is. So atmospheric and such a great example of Tennyson. "That which we are, we are...")

[@piarittersporn]

That was hard work but a great adventure.

[@peterhowitt3861]

The error was at 33.00 when you deduced that the 8 could not be in R3C7 by assuming it had to be in C7 in R7,8,or 9. Easily done with such a mental ruleset. I made many numpty assumptions that I had to unravel. All part of it.

[@myrec8883]

This is so nice puzzle. I loved to solve this.

[@ericpraline1302]

What a splendid puzzle, thanks, a very enjoyable entanglement indeed. Some of the "geometry" was fittingly strange. Annoying that I missed the rather obvious roping logic in c789 which meant my solve path was rather different to Simon's.

[@kfossa344]

Absolutely brilliant! Simply astonishing! So beautifully well done Simon, bravo! - Harry Potter

[@A_CC_K]

Maybe watching the poetry section first before the sudoku solve. Loving that you are doing more poetry on the channel.

[@Isht-x6i]

I am glad i read the comnents. I was just racking my brain why 8 was not supposed to be in r3c8.

[@bobsburgers8885]

It took me 6 hours but I solved it. Great puzzle!

[@MarushiaDark316]

Simon's initial mistake was using the 8 from column 7 to say there must be an 8 in purple in Box 9, which was wrong since it could have still been in Box 2. I think he might have gotten confused and though roping applied when he proved it clearly didn't apply.

[@kotzkica]

94:41 Amazingly constructed

[@therealAQ]

can't wait for the Taiga solve!!!

[@philb9941]

The title should have been, "How can this be solved with only 0 given digits?"

[@ga-eul21]

So excited I actually solved this !! (It took me three hours tho but I’m not a professional)

[@argyrisdiamantopoulos2217]

by removing 8 due to blue is way more simple solution than doing all the additions and different cases at 1:20. Great puzzle though, great channel

[@przemekmajewski1]

Damn, that was hard. Even without the mistake. Took me 1.5 hrs.

[@PathOfShrines]

Amazing puzzle! 2:07:01 for me, and worth it the whole way.

[@Mandragorn]

Consider this cryptic cracked!

[@xerodeus2337]

I for sure thought this was a Marty Sears puzzle based on the thumbnail :D

[@Scojo486]

The highest compliment

[@Ardalambdion]

This puzzle makes me miss Broken Secrets by TotallyNormalCat.

[@adamanhavengarde]

I wished you colored pairings more. you can use the same shading since a combination of outline and shading can differentiate them.

[@KyleDB150]

There's something wrong with the error-checking. Entering only Simons first number (which remained correct) makes it say its wrong! Or does it include the cages rule? So is it only marked correct when the pair of cages add up to what's needed?

[@RichSmith77]

It seems to be working for me. If I put an 8 in r5c7 and hit the check button, it says "Looking good so far"

[@mattlafy]

I think your trouble stemmed from pushing too hard on the A pencil mark rather than the given clues. You were proving things that came much later for me. Solving by avoiding the expected path can be interesting, but it's usually more difficult.

[@Chrismacgillivray]

That was hard. I didn’t even come close to getting this one.

[@OlafDoschke]

The endgame was easier when you viewed it as the 37 cage together with the 8 in r6c7 being a 1-9 set and column 5 being a 1-9 set, the rest of the cells, also were a 1-9 set of which 5 and 6 were already placed. Togehter with the 1+2 in box 4 you had 45+3-11=37 to settle and that means all units digits of the remaining cage pairs need to sum to 7, so it could have been 1+2+4, but where do you put in the 0s as tens digits? So it was 0+3+4 and so the tens digits were 1,2,0. so 10+20+3+4=37. Which means you have a 03=3 in box 4 and 20+14 or 24+10 cage pairs, of which only 24 and 10 work. That gives 7+1+2 in column 6 and the rest falls in place almost automatically.

[@sams5963]

Some basic Sudoku on sevens might help him out

[@ronjohnson6916]

Heh. Stared at the grid. Understood what needed to be done -- the rules were clear. I just couldn't really start.

[@minamagdy4126]

At the hour mark, Simon ruled out 5 from r6c3 on the premise that the 1 red half-cage in r6c2 joined with the 8 half-cage in the same box. However, if that half-cage joined with the 9 half-cage in its same row, couldn't r6c3 be a 5 if r6c2 is a 6?

[@RichSmith77]

At 58:00 he repeats his earlier deduction that the 2 ("twenty") cage cage cannot pair with the 8 cage (in red), because it would need an 8 in it, and the 8 pencil-marked in box 1 rules this out. So he knows the 2 cage pairs with the 9 cage (29), leaving the 8 cage to pair with the 1 cage (18).

[@ConradShaw1]

Wow.

[@Barteks2x]

Unfortunately I don't think I'm made for solving sudoku :( I would have made like 5 logic errors by the time you detected your error and I have no idea how to prevent myself from just making incorrect deductions. I love watching the videos but just can't solve even basic sudoku without making a mistake that I just can't correct because I just don't remember enough about my previous deductions.

[@Cthulhus_Mum]

I don’t think of myself as colour blind, but I can’t tell the blue from the green in this particular layout… is it difficult for everyone else, too?

[@natebob85]

It's not even close; they are as distinct as pink would be from red, or yellow would be from orange. It's possible you have some form of colorblindness (because who really would know that a certain color is "wrong" when they've seen it a certain way their whole lives) ... or just as likely your monitor settings skew them to make them look similar. I hope this is helpful either way.

[@user-sv7bx6gn8n9]

1:18:23 for me. Hard but fun!

[@stephenbrownca]

I can't play this puzzle. There's something wrong with the page, that the buttons/cells aren't where they're displaying on screen. Tried in desktop mode and opened in a browser. Tried using my fingers and my stylus. Unfortunate, because I always like to try to solve it before watching your solve.

[@WristyGymnast]

colour trolling again: "this blue box... ...lets colour it green..." 🤣

[@joppippoj]

174 minutes and it's wrong. oh well, a tuesday afternoon well spend.

[@FilipposAlexandros]

Is there a mistake in the puzzle? The red 9 cage in R6C3,4 matches with the red 1 cage in R6C2 (7+8+4=19), as well as matching with the red 2 cage in R1,2C1 (7+8+5+9 = 29). The puzzle states there is exactly one pair for every cage. Is that correct or did I miss something?

[@coalternate]

the red 1 in R6C2 matches with the red 8 in R4,5C3 (4+5+9=18). the red 2 in R1,2C1 matches with the red 9 in R6C3,4 (5+9+7+8=29)

[@RichSmith77]

If you pair the 1 and 9 cages in red, you're left pairing the 2 and 8 cages in red also. While they do sum to 28, so it seems like they might work, they get to 28 by repeating digits (5+9+5+9). To avoid repeating digits in blended/paired cages, you have to pair the 2 with the 9 and the 1 with the 8, in red.

[@crab0traps0now]

Think about how braids work. Braiding is surely the word you are looking for.

[@emilywilliams3237]

But 'roping' has become the accepted term.

[@10prozenthimmel]

I‘m among the 213 🎉

[@n8style]

Does anyone have the link to that IcyFruit puzzle? I'm in a sadomasochistic mood lol

[@Tsunami14]

My condolences to our colorblind audience.

[@huxflax]

It's clearly stated that there is a colourblind version

[@myrec8883]

@@huxflax Colorblind version has only few solves.

[@huxflax]

@@myrec8883 what do you mean?

[@Deditzy.]

He left me going forward, and left me going back! 🤣🤣🤣🤣🤣 No idea where he was going, and no idea why where he went wrong was wrong!! 🥲🥲🥲🥲🥲