The Foggy Sudoku Nebula
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- čas přidán 28. 05. 2024
- ** TODAY'S PUZZLE **
A chastening sudoku today from gdc in the form of Nabner In The Nebula, an extremely clever and unusual fog of war puzzle. This one gives Simon no end of trouble and yet, as so often with a top-class sudoku, when you find the right way of thinking about it you can't understand what was difficult.
Also linked below is @KurtHugoSchneider 's new 6x6 sudoku called x. Apparently you need to know some sudoku theory in order to solve it quickly!! Simon's solve will be posted on Patreon over the weekend.
Play the puzzles at the links below:
Nabner In The Nebula by gdc
app.crackingthecryptic.com/su...
Rules:
Normal sudoku rules apply. The grid is covered in fog. Placing correct digits reveals clues in the surrounding 3 by 3 area. All golden lines are "nabner" lines ie they cannot contain repeated digits and no two digits along a line may be consecutive. Eg if 5 is on a line, 4,5 and 6 cannot appear anywhere else on the line. Clues outside the grid give the sum of the first X digits along that row or column (the 'X-sum'), where X is the first digit seen from the direction of the clue. In addition to any nabner lines revealed as the fog lifts, every X-sum forms a hidden nabner line at least X cells long starting from the cell closest to the clue.
Kurt's 6x6:
app.crackingthecryptic.com/su...
Rules:
Normal sudoku rules apply. Along a long diagonal (marked in blue) digits may not repeat. Clues outside the grid give the sum of the digits along the indicated diagonal. The cage clue gives the sum of its cage. x is a number that must be determined.
** NEW SUDOKU HUNT JUST OUT **
Join us on Patreon (for as little as $2) for a brand new sudoku hunt (called Lines & Shapes) - it was released on 1 Septmber. Closing date 20th September :)
/ crackingthecryptic
** NEW GAS PACK: VOLUME 2 IS OUT **
The new GAS (Genuinely Approachable Sudoku) pack is out on all platforms here:
play.google.com/store/apps/de...
store.steampowered.com/app/23...
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60 original puzzles by Clover, Bill Murphy and Philip Newman!! Earn party hats and dinosaurs with these brand new puzzles!
▶ SUDOKU PAD - Use Our Software For Your Puzzles ◀
You can input classic sudoku puzzles into our software and help support Sven, the programmer responsible for the wonderful user interface we all use to play these puzzles everyday. The app also comes with 12 handmade puzzles from us:
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ALSO on Amazon: Search for “SudokuPad”
▶ Contents Of This Video ◀
0:00 Theme music & introduction
1:25 New Kurt Hugo Schneider 6x6 to try!
2:07 Join Our Sudoku Club On Patreon
2:40 Happy Birthdays
5:27 Rules
8:32 Start of Solve - Let's Get Cracking!
▶ Contact Us ◀
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email: crackingthecryptic@gmail.com
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Simon Anthony & Mark Goodliffe
Box 102
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SW7 4UB
(Please note to use our real names rather than 'Cracking The Cryptic'.)
▶ SUDOKU PAD - Use Our Software For Your Puzzles ◀
You can input classic sudoku puzzles into our software and help support Sven, the programmer responsible for the wonderful user interface we all use to play these puzzles everyday. The app also comes with 12 handmade puzzles from us:
iOS:
apps.apple.com/us/app/svens-s...
Steam: store.steampowered.com/app/17...
Android:
play.google.com/store/apps/de...
ALSO on Amazon: Search for “SudokuPad”
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We also post the Wordle In A Minute videos on TikTok. - Zábava
Simon when you're stuck on a FOW puzzle, I would LOVE to hear you say "I haven't the foggiest".
Simon's inability to do sudoku while doing incredibly difficult sudoku puzzles is always a source of frustration and entertainment alike ❤
For anyone worried about the difficulty because of the video length, it's not too bad. Simon missed a simple Sudoku after placing a digit at 42:19 and spent a lot of time finding a more difficult path through
He also missed the one at r3c7 early on but may not have slowed him much
It didn't seem simple to me
I found it harder than usual.. I got stuck at the same spot he did... but it took me twice as long to figure it out 😂
Not sure why, but Simon's comment about the birthday messages getting crazier had me imagining there is a clandestine network communicating through the CTC birthday wishes
Suggestion! Simon and Mark do a video together solving Sudoku puzzles that they had failed on previously. Wouldn't be a "first look" video - but their teamups are fun to watch too!
Good suggestion. I miss their streams.
I support the idea... but I bet there aren't that many puzzles they can't do (one would be enough though)... failing because of a mistake is one thing, but not finding a solution, I can't believe is possible for these 2...
31:12 for me. I feel like Simon's refusal to pencil-mark or write anything down might be why he's struggling more with these.
Who else would pay to see Mark & Simon do an escape room?
What do you mean "pay?"
Literally?
EDIT: or figuratively?
Figuratively, yes.
EDIT again: but I'm "literally paying" with my attention, time ( and also Commenting) as are many others.
Figuratively, yes though.
I would.
Will we get to watch Simon try to figure out a puzzle for a long time while not seeing the key right in front of him?
I mean, Mark and Simon played Escape Simulator on stream that one time - and it wasn't a huge success 😂
Good thing I actually watched the start of the video before solving it because I genuinely didn't understand what the hidden nabner line rule meant
I’m impressed that Simon keeps his good nature and humor no matter how daunting the puzzle may be! Happy birthday to the very handsome Elvis!! I think Starbucks has “pup cups” as a special treat for dogs.
25:04 for me. It felt fairly smooth. As often with a fog-of-war puzzle there weren’t too many places to look for where the next step must be.
Simon and Mark,
I've been going through a lot of pain in my life recently. Your videos have been a surprising oasis in my days. Thank you.
I hope you have better days ahead
Thank you Simon, Ian, and Dasher. I had mint viennetta and swiss roll. Also very excited it is a fog of war - I do love them (and am patiently waiting for a FoW app). Was also thrilled to get Mark on the crossword today as well, not that I don't appreciate Simon's solving, though still shocked Mark didn't know about a surfeit of lampreys and the monarch they defeated.
46:06 Great puzzle! Nabner lines are really incredibly powerful, and to combine them with X-sums for the break-in was a brilliant idea 😊
At 31:20, Simon examines whether the central cell can be an 8. He _almost_ sees the simple way it *cannot.* (Later he finds a slightly more complicated way to look at it. Typical Simon. :) It forces a 46-pair into the middle nabner in row 4, which forces a 79-pair into the right nabner. Simon sees this but doesn't go that one more step which would have made everything unravel: this forces an 8 onto the left nabner in row 4, and the left nabner is not allowed to have an 8 because of the 79-cell in box 1. So, the central cell is a 6.
Yes that's how I envisioned it when I set this puzzle. 6 on the central nabner leads to a contradiction by a rather short chain. I also felt like he was just one step away from saving himself a considerable amount on the clock. But it's very understandable that this took him longer and I got pretty accomplished solvers reporting long solve times on this during the feedback phase.
He has proved it , and forgot , this happens more 😞
Rules: 05:43
Let's Get Cracking: 08:38
What about this video's Top Tier Simarkisms?!
Maverick: 3x (05:34, 05:35, 46:23)
Bobbins: 1x (20:42)
Three In the Corner: 1x (1:03:39)
And how about this video's Simarkisms?!
Hang On: 14x (04:45, 06:18, 07:05, 14:07, 29:25, 30:00, 35:14, 35:34, 42:28, 50:09, 51:44, 52:25, 56:53, 56:53)
Obviously: 12x (01:13, 01:35, 02:10, 06:36, 07:18, 09:48, 11:20, 16:47, 17:18, 18:54, 20:12, 37:23)
Ah: 10x (08:09, 16:26, 24:14, 29:36, 37:37, 52:28, 58:04, 1:01:30, 1:01:58, 1:04:09)
Clever: 8x (38:29, 38:31, 38:38, 38:40, 41:01, 41:01, 1:04:37, 1:04:37)
Sorry: 6x (03:00, 11:59, 36:13, 36:39, 38:33, 57:00)
Brilliant: 5x (14:53, 29:39, 29:39, 50:59, 1:04:58)
In Fact: 5x (10:28, 10:51, 12:51, 16:19, 59:28)
Wow: 5x (21:26, 37:42, 55:21, 59:59, 1:01:01)
What on Earth: 4x (21:46, 42:41, 1:01:01, 1:04:49)
By Sudoku: 4x (14:41, 56:14, 58:34, 1:04:00)
Goodness: 3x (14:20, 32:46, 47:51)
Beautiful: 3x (29:20, 44:37, 44:37)
Shouting: 3x (05:09, 36:37, 1:05:43)
Intriguing: 3x (00:39, 01:17, 36:06)
Pencil Mark/mark: 3x (18:37, 48:20, 58:22)
Cake!: 3x (03:25, 05:03, 05:23)
Naked Single: 2x (59:28, 1:02:42)
Gorgeous: 2x (16:29, 16:29)
Disconcerting: 2x (45:12, 58:42)
Come on Simon: 2x (25:29, 34:25)
Surely: 2x (16:06, 40:39)
Disappointing: 2x (52:31, 52:33)
Baffling: 2x (46:56, 47:00)
What a Puzzle: 1x (1:04:12)
Bother: 1x (27:45)
The Answer is: 1x (38:15)
Nonsense: 1x (57:00)
Bingo: 1x (43:13)
In the Spotlight: 1x (1:03:42)
Stuck: 1x (33:00)
Horrible Feeling: 1x (18:33)
Off to the Races: 1x (15:15)
Break the Puzzle: 1x (43:19)
Extraordinary: 1x (21:37)
First Digit: 1x (07:01)
Take a Bow: 1x (1:05:51)
Bizarre: 1x (21:43)
Whoopsie: 1x (57:11)
We Can Do Better Than That: 1x (53:28)
Progress: 1x (23:25)
Almost Interesting: 1x (19:41)
What Does This Mean?: 1x (48:26)
Most popular number(>9), digit and colour this video:
Nineteen (7 mentions)
Four (114 mentions)
White (4 mentions)
Antithesis Battles:
High (20) - Low (11)
Even (6) - Odd (4)
Lower (9) - Higher (2)
Lowest (4) - Highest (0)
White (4) - Black (0)
Row (18) - Column (12)
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!
It was my birthday but no one emailed on my behalf. I'm 19 now and love your sudoku videos. They bring me so much joy and I watch them before bed every night! You guys are absolutely amazing!!!!
Happy birthday! And next year you could email for yourself if you want -- people do that occasionally. In any event, I'm sure we all wish you lots of chocolate cake with the ritual amount of icing. 😺
You had a possible 79 in the middle position of box 3 for quite a while. Meanwhile there was a 9 in the center of box 2 waiting to disambiguate it! I'm amazed you managed to do all the following work without that simple deduction.
You finally placed the 9 in box 6 that you used to place the 7 in box 3! Amazing!
It never ceases to amuse me that Simon gets all the really complex logic I struggle to see but he takes forever to spot the simple stuff or finds the 'hard way' to an easy conclusion 😄 typical example is R2C8 was a 7 i-wing for about 15 minutes before he spotted it but only by finding the actual place for 9 in C8 rather than the i-wing. If he had found it earlier a lot of the other logic would have been simplified...
GDC, what a fantastic puzzle - the break-in was stunning. Really lovely nabner logic throughout too, which I'm sure Zetamath will love if he's watching. Simon, you should DEFINITELY do an escape room, you'll love it. I'm a big fan myself, having done over 100 in the last 10 years. If you want a list of my top recommendations, I'd be happy to share them with you over email. There's some really good ones in London and Surrey :)
I don't know why but I really like it when one of the first deductions about possible digits (the 4 in box2) ends up being the last to be resolved
wow, I don't really have the foggiest idea how I would start this one!
35:12 for me - really clever setup. The 19 nabners were such a great entry into the solve, with the other nabners showing just enough of themselves to deduce next steps quite nicely. Another fun fog puzzle! 😄
Oh wow, this one looks daunting! Should be a fun solve to watch!
This puzzle was SO fun!! The logic was amazing! Can't believe I solved it in 49 minutes!
Why does the linked puzzle have grey lines instead of golden?
Loved it! Thanks for the wonderful feature. :)
The trick in box 6 was really nice though I did it the other way around, once you put those low digits in you can immediately see that if you were to put a 1 in r6c9 you would force 24 onto the nabner and break r6c7.
Some of these little tricks can only be described as cute, which feels weird to say but true I reckon.
70 mins here but I really enjoyed it, thanks for the puzzle gdc, and thanks Simon for the video!
kudos to the setter, this was another great one
108:53 here. Didn't need any hints though, which I was proud of. Haven't checked out the channel in months, but I knew I had to do a Fog of War puzzle for my first time back, I love that sudoku variety.
30:00 finish. Yell, yell, scream, scream, complain, complain... but in a nice way! 😁😁😁
Excellent puzzle, with some fun logic!
39:17 for me! Fantastic puzzle with clever logic!
39 min, glad I figured how the break in goes early, and I REALLY enjoyed how a lot of the nsbner lines resolve themselves. I particularly liked how r4 works out as well as box 8
Lovely logic from start to finish!
That was a divine setting!!!!!
Love the fog puzzles! This one in particular I think I did a good job solving, took me 50min and beating Simon’s time in a puzzle he considers hard is a rare thing for me
For some reason when I did the puzzle the nabneR lines were grey. I had to read the rules multiple times before deciding that I had to assume they were the gold lines. Either way, this was a very hard puzzle for me and realt stretched my logic muscles. Felt great to get it done in 1:43:03.
Incredible puzzle again, in honesty i had no idea most of it 😂 great solve
Hey Simon, great video as always, thank you so much for the great coverage of great Sudokus :) Unfortunately I feel like the rules should have been better defined for this video. In 15:25 and following you rightfully simply assumed that the nabner lines need to connect instead of being two different nabner lines who happen to end in the same cell. For other rulesets like thermos it happens quite often and is something you have to eliminate as a possibility first. In this puzzle it does make a substantial difference as you could have put consecutive digits in R2C6 & R2C8. Apart from that, beautiful solve!
I certainly deliberated over the possibility of two lines meeting in the cell for too long before I decided that there's no other way to move forward
Very well done!! It took me a long time to figure out that cell in box five couldn’t be an 8. Excellent explanation to make sure everyone would understand.
I love the fog of war puzzles! I'm slow. I finished in just under 3 hrs. But it was so satisfying to finish!
Lovely puzzle. I love the foggies.
Wow. Despite a careless error filling in the final digits and taking 5+ minutes to see what I did, I still beat Simon's time for the first time ever. I thought it just kept saying "look over here - this is where to go". No cheating - I took under the hour.
27:46! Really loved how easy it was to follow each step for this puzzle!
This was still fun the second time around. I was one of the testers on Discord channel who completed this puzzle about a week ago. I immediately knew that it was just a matter of time before it appears on the channel. Great job, gde!
gdc here. Thanks a lot for that kind comment and for testing!
Got stuck towards the end finding the low digits at the bottom of column 8, but got it eventually in 47:45. Felt good about the flow and proud that my break in was relatively smooth and straight forward.
Great puzzle, I had fun on the break in, then in working out row 4.
I got stuck on the 2 on the nabner line in box 6 as well and had to play the video to see how Simon solved it. Great puzzle
64:16, I think this is the first time ever that I actually beat Simon's time, I am so proud of myself 😊
I solved it a few days ago. I was actually quite proud. It wasn't easy. Great puzzle and really fun logic.
Wow! After I had finished, I held down the undo button to see everything I had done disappear, and then held down the redo button to see it all re-appear. To my surprise, the software congratulated me on doing the puzzle in 1 minute 32 seconds!
56 minutes for me, while having the Mets game on in the background; got hung up a bit in the middle boxes for not asking the right questions, but I like how the entry is only three X-sums, but still fairly logical and not esoteric as in having to go around the grid thrice to find out that the yellow/purple/7 triple can't be the same as A.
Very nice puzzle. Was a bit surprised to find I had solved it within a couple of minutes of Simon's time, because usually I'm a lot slower.
28:45 for me (conflict checker off), this was a nice challenge but a lot of fun! Also the first (9x9) puzzle I've solved which uses nabner lines. 🙂 Really enjoyed this, props to gdc!
@16:00 Maverick flys past again, but you didn't call it out. I was listening while playing minecraft and I was actually checking the skys in minecraft for an airplane! LOL
68 minutes on this one for me, thank you for a lovely puzzle GDC! I am of to bed now, and will watch Simon solving this tomorrow.
gdc here. Thanks! Simon did a great solve of this. I'm sure this video is much more interesting to watch after solving because it i easier to appreciate that some steps took him a bit longer and also have those "great minds think alike" realizations.
15:55 for me. Great puzzle!!
Wow, finished in 53:50 and beat both Mark and Simon in the same day??? I need to go and lie down for a while, something's not right ...
1:06:19 - That was very nice; just about the right difficulty for me.
48:18 I’ll have to wait and see how long the preliminary goings on are, but it seems like my time might be close to Simon’s. This was a very fun puzzle. I’m looking forward to the line app, but what y’all really need is a fog app.
Don't let the video time fool you. This one is actually more approachable than the video time suggests. Not easy or anything, but you don't need to spot anything really hard to progress. Or maybe rather it's that you don't have many places to look for things, so taking time to think more deeply about each one will pay off.
gdc here. I'm certainly not the best person to judge the difficulty of my own puzzle, but the difficulty rating on LMD and discord is 3 stars, so the puzzle is certainly doable. There is one pretty hard step in row 4 (simon discovers it at 36:50) but everything else should be doable by regular viewers of this channel.
@@MrGrog90thanks for a great puzzle! (I got stuck sooner than Mark)
The deductive skill shown while purposefully avoiding doing the basic sudoku that is glaringly obvious is enough to boggle the best of viewers
Happy birthday Elvis, also from Denver CO
This went pretty smoothly for me at about 50minutes. Lots of fun.
It took 90 minutes for me to solve this but I LOVED the process. The break-in was exceptional and every bit of the way was enjoyable even for someone not that practiced with variant sudokus, especially the harder ones
gdc here. I'm always happy to hear that newer solvers can also tackle my harder puzzles. I think nabner lines are an excellent way to (partially) even out the playing field between beginners and more experienced solvers because everyone perceives them as wired and unpredictable :)
34:21 for my time, ironically a Renban line!
At 52:58, another way to see it is that since there always has to be one of either 2 or 4 on the line, if you make that digit 4 in the corner, placing a 2 on the line as you now must would make 1 and 3 impossible on the line, cause they can't be consecutive. I thought that was cute. A bit later, at 55:45, r6c3 can only be 4679 by sudoku, but not 46 by nabner, thus also placing the two in r8c5.
amazing, The Werefrog spent forever on the start, and kept mixing renban and nabner lines. Getting that initial 3 and 4 bundle to clear some fog, however, just set it up and The Werefrog was able to go at it for 44 minutes to solve. However, that first digit combo was so hard.
50:49 It's a great day when I complete in less time than the video 😁
Great puzzle and solve! In the beggining I stumbled a little bit, questioning if there could be nabner lines crossing each other. So I wasn't sure if I could assume the lines on box 5 were connected. Not sure if I was overthinking it, or if the rules were not completely clear.
gdc here. the way I see it is that if all lines are the same color and there is no mention like "lines always continue straight when they meet", this implies that lines crossing on the center of cells is not possible, but they may branch (in case the restriction imposed would just get stronger). When I looked at similar puzzles to decide on the rules-wording I also saw the topic of crossing lines omitted most of the time. But I realize that I could've been more explicit here although the fact that hidden nabner lines do cross non-hidden nabner lines makes a completely consistent wording rather convoluted and maybe even less clear for the average solver. I'll certainly take note of that for my future puzzles because this point also came up in another comment.
85:53 for me. Proud that I could solve this puzzle on my own :)
Interesting to see that setters are starting to find ways to make FoW quite challenging. I found row 4 pretty tricky although it did ease off afterwards.
17:30 if it can only be 7 or 9 you can't have an 8 on the line, the other digit is a 1. Nice!
21:53, yes you have, i hope you spot, maybe the revealed fog will help.
22:19 it's always the small things that elude you guys, so great at getting started, and big picture stuff, so much better, so very much better than myself.
Frankly this video is pretty rough 20-40 minutes in, figuring out the break in to the middle of the puzzle, bravo, simon, bravo.
Did this on the discord a few days ago and got stuck on row 4 too! Funny how easy it looks once you actually see it haha.
the break-in:
1) recognize that "nabner" is backwards "renban"
2) run the renban subroutines backwards
Do Simon and Mark ever post videos of them each doing the same puzzle? It would be interesting to see their solving times and styles head-to-head!
there was one that they accidentally both did, a few months apart. Polar Attraction by Piatato. Simon solved it, not realising Mark had already done it several months previously. Great puzzle, and interesting comparing how they both went about it
Not often, but there was one at one point in the past few weeks I think. (by accident.)
There was the time they both solved Tattouine Sunset by Philip Newman -- a brutal puzzle (and just a classic, too, no variants!) -- and the second video is called something like "how not to cheat," so there was the tiniest bit of drama in there, too. 😼
39.13 for me. First time I've ever bettered Simon's time in two years. The break in was fairly easy I thought, but nice. Love the new nabner lines.
The original nabner puzzle is from 2021 but it recently gained popularity again after the setter "zetamath" made some efforts to popularize the ruleset among other setters. You should check out the original, it is awesome and simon's solve of it is incredible.
57:01, I ended up setting stuck for like 15 minutes, looked at the video, and saw that I typed in 398 instead of 397 for the 19 clue, wrong for two different reasons. It was nuts how little unfogging cells helped, still had to do a lot of thinking despite seeing where to look next. I found the break in kind of a bit of work, but interesting how it worked out in the end.
Sometimes you say things like: "I'm letting the world down" and it makes me really sad. You're incredibly smart and an inspiration. This was a really hard puzzle and you solved it faster than I did. Maybe someone else solved it faster but I bet they weren't making a video at the same time. I hope you can try to be nicer to yourself next time you are stuck.
My dogs also have a response to the theme music, they come up for snuggle time.
That was fun to solve ❤
Today’s puzzles have been wonderful for my battered ego. Beat Simon’s time on this one and Mark’s time on his “terrible solve” video! It’s a miracle…
This looks like a puzzle where mark would have had an easier time. Just because Simon refuses to pencil Mark sometimes which in this puzzle leads to him missing a bunch of clues hidden in the pencilmarks.
19:20 "We can't put 8 on this line." Or on the line that I keep clicking on to compare this 7 and 9 pair with this other 7 and 9, and noticing this would give me a 1 from my pencil marks... :D
Elvis can have a doggie ice cream from Goodtimes. I’m from Denver too, and that’s what I give my little boy on special occasions.
I found the part "at least" x cells long in the ruleset quite confusing and had to check the video just to make sure I drew the right conclusion.
43:49 for me. Nice puzzle!
Those steps were hard to spot. Simon was taxed enough that he forgot that he's *supposed* to use the alternate "proving it's position" for a moment. It was nice to hear the original though. I get changing it though, as a rise in irreligiosity is a controversial topic (especially in the US). But that's not what the song is about and I blame complainers for not knowing that.
42:13 for me, very nice puzzle. Break in was very quick and as usual, I got slightly stuck after that until I realised something about r3c2.
gdc here. Yes, this is another way to break through the wall in row 4. Another way is to ask if 6 (which must appear somewhere in the middle nabner) can go into R4C5 or R4C6.
I do sometimes wonder if the baffling lost is actually deliberate - how long did it take to actually work out the values in R5C6; and to fill in the resolved R2C8!
It always amazes me how much Simon "refuses" to do simple sudoku, especially when he gets stuck.
solved in 25:36 - struggled a bit with row 4. nice fog of war
26:40 for me, ending nicely with a 3 in the corner
Indeed a very GAS puzzle. Solved it within a - for me - pretty reasonable time :-) Basically, the fog makes is easier to decide where to look for a next deduction.
I would be interested to hear the theory necessary to solve the 6x6 puzzle
Set theory, I think
Spoilers:
Two diagonals plus columns 3+4 vs boxes 1+2+5+6, rule out the common cells to see the middle 2x2 cells corresponds to two sets of outer diagonals
They can only be from 4 digits
Add ABCD and check what numbers can go in which spaces in the middle 2x2 block
Huh - I found this flowed for me. Less than 15 minutes. I did catch the break-in almost immediately, but being that faster than Simon almost certainly means I missed some logic and got lucky!
Simon missed a lot of sudoku which slowed his solve down significantly. This is probably an aprox 20 minute puzzle for a good solver, it seems very feasible to do it in 15 without missing logic.
What a fun puzzle!!
41:23 for me! :-D
43:06, nice breaks at every turn!!
Nabner is so funny to me xD
I spend a while looking at this thinking that the hidden nabner lines could go in any direction, not necessarily along the same digits as the X sum.... at the start of the video I think Simon says something that rules this out and makes me think that the x-Sum cells have to be the nabner line?
... 201 minutes in the end!
Yes, "every X-sum forms a hidden nabner line" means the "X-sum cells" i.e. the cells that are summed are also nabnered. That's why it is possible to restrict the makeup of the sums to only two options.
9 in row 2 column 5 staring forlornly at the 79 in row 2 column 8.