The Best Fog Of War Sudoku?!
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- čas přidán 14. 05. 2024
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** TODAY'S PUZZLE **
Last week Simon solved one of the most unusual and interesting puzzles we've seen on the channel: Fillomino 77 by Myxo. Many of you noted that Myxo had made a spectacular Fog Of War sudoku and today we try that as well!
Our verdict: Myxo is one heck of a setter!!!
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Rules:
Normal Sudoku rules apply. Digits connected by a white dot are consecutive. Digits connected by a black dot are in a ratio of 2:1 (ie one digit will be double the other). Not all dots are necessarily given. Coloured lines in the grid are “Renban” lines. Digits on a Renban line form a set of non-repeating, consecutive digits - these digits can appear in any order. All Renban lines in the grid move orthogonally between neighbouring cells, do not branch and do not overlap each other. Each line has a unique colour. The grid is covered with fog. Correctly placed digits will clear the fog around that cell.
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▶ Contents Of This Video ◀
0:00 Theme music & puzzle intro
2:16 Patreon
2:46 Happy Birthdays
5:19 Rules
9:21 Start Of Solve - Let's Get Cracking!
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Everybody: "Oh, there is a 68 pair in box 7, so the 2 is in r9c3"
Simon: "Let's not do sudoku! I have a 4-steps complicated proof that 2 is in r9c3 !"
You should add a time stamp to your comment 43:28...!!!
@@johnpauladamovsky86He only took a minute longer than needed. Not as bad as sometimes.
Let's make this i-wing into a...bent i-wing! (hashtag WeLoveSimon)
@@michaelmatter1222 The "Bent-Triple" is my favorite terminology in all of SUDOKU.
@@bobh6728 yeah, but then the 5 minutes to disambiguate R9C4 having solved R4C4 (starting at 1:04:30 or so)
43:50 When Simon says "here's my logic for that" on a deduction that could be resolved by just cleaning up immediately adjacent pencil marks you know we're in for some lovely (if totally unnecessary) logic XD
Well, he did clean the 2, he just didn't realize it was a 6/8 pair lmao
@@gumilhopipoca4041 Removing the 68 from a 268 center mark with a 68 pair pointing at it is part of "cleaning up pencil marks" in my book
@@HunterJE Ah I see, I personally interpret differently when you say "cleaning", but I understand what you mean.
I'm just glad I wasn't in the middle of taking a drink when he said "I now think this is the 2 on the green line... I might be wrong about this". I feel I might have expelled it quite rapidly. 😂
We have reached peak Simon with the 2 in box 7. Love it!
i love watching this mans brilliant brain at work
Absolutely insane to wind it out lile that 🤯🤯🤯 Simon will always frown upon sudoku-solving in a sudoku, and will also always miss the most basic sudoku logic at the same time. What a paradox 🎉
And the total blankness when it comes to the 2 in box 2? "I am so stuck... could it be sudoku?" - never once looks at box 2 and the 2 that would clear 9 cells of Fog. Now, having said that, would it really help? probably not, because it leapt out at me, but it would be 1 more cell filled that isn't now.
He used his pencil marks to rule the two out of the top two cells and it was the unique didgit of the triple in the column and he went way out of his way to prove it, even while his pencil marks showed it clear as day 🤣🤣
@@d4r4butler74 It took me a while (and your comment) to notice the x-wing on 2s in box 5 and 8. Well spotted!
Around 25:00 is the most Simon way to realize you can’t bend the line any further without going past 9 cells lol
My favorite part about this video is at 43:29 when Simon goes "2 can't be on the pink line" and the comes up with an absolutely (brilliant but) convoluted way of placing it in box 7 instead of using the 68 pair that everyone watching was shouting at the screen about.
The simple way to explain why a 7-cell renban becomes a 9-cell renban if it dips down one row and returns is: it has 2 added cells, one to change row and one to change back. The middle span is the same length as had it stayed on one row.
which is also why the orange renban had to be 8 cells, because otherwise it'd be 10. No need to fiddle about with bishop's moves.
Would it hypothetically be possible to say it dipped three cells down into the next row, if you didn't know about the orange line?
@@258thHiGuyNeither red line nor yellow can do that though, its already 7 horizontal guaranteed and every vertical dip-down needs a backtrack so its +2 per dip-down. But yeah, during my own solve I was convinced the yellow had to double-dip and I needed Simon's help to continue past that. Now it's clear that never could've worked.
2 in box 2 has been available since 42:58. This would have helped a lot in getting the order of the 149 triple in row 9. Since a 4-9 pair would force 4 and 9 to be together on the white dot in box 3. There goes Simon forgetting sudoku again and not getting the 2 in box 2 until 1:04:24
I'm amazed I spotted this! And I have Simon to thank for being able to do so, which feels somewhat ironic, but that's why we love Simon
That one was pretty rough because I saw it pretty much immediately with the 1-2 pair in box 8
Oh wait, I have to wait another 20 minutes before he realises it?
I felt like this puzzle had a narrative arc. Each revealed renban was only 2 cells at the beginning, but it continued to draw you in and tease you along until that absolute BANANAS logic in the bottom right to start the final unravel. Well done Mxyo! I've never agreed more with a video title
I love that your first pencil marks stayed until the last five minutes and the 2 you used in explaining the rules for white dots was actually a 2. It’s the little things
I thought of like 5 different things before Simon noticed them and that made me so happy because that means I’m actually learning something. Your commentary throughout was amazing as it always is, so thank you so much. Also props to Myxo for this puzzle, I think it was the most interesting sudoku puzzles I’ve actually seen.
35:37 for me. I made the correct but unearned assumption that the red line only dipped down for two cells in r3, forgetting about the possibility (until watching the video) that r2c6 might not be on any of the lines.
Such a different experience to watch Simon solve a puzzle once I've already solved it. I'm not entirely sure which I prefer, but both are fun!
It's interesting the little variations in solve path, as well. The overall structure is pretty consistent, but usually somewhere around the third quartile of the solution it branches out significantly and there are a number of possible paths.
I also got a small undeserved break at the start, as I immediately put in the 9 in R1C3, thinking (after doing several combination Renban/region sum puzzles in a row) that the immediately completable blue line at the top was both Renban and a region sum (thus the only digit that could go in the lone cell in Box 1, given the black dot that had to have a 1-2 domino, was 9).
It didn't actually end up helping much if at all, and the overall flow was identical to Simon's solve, but... maybe a digit swap is possible? I dunno, I suppose it's fairly unlikely that someone would make that mistake _without_ having just previously done several Renban/Region sum puzzles...
I realized my mistake pretty quickly, and watched for times when it would've made things easier, and it never really did, so I think it was okay.
I don’t remember which puzzle it was but I remember that feeling… my first independent solve! I’m still learning so I balance attempts and views but I still LOVE an independent solve (I’m building to a quicker time 😊)
Even though I work in academia I still find this community the best place to practice learning how to learn (everywhere else is teaching a particular topic)
Simon not noticing the X-wings on 2s in C4-5, is 1) Classic Simon, and 2) beyond infuriating.
I don't normally try puzzles that take Simon over an hour, but I LOVE fog of war so I gave this one a go and I am so glad I did. So many steps in this that blew my mind. Found my self shouting "are you kidding me!!" in complete awe at several points. Absolutely incredible puzzle. Hats off to Myxo.
I saw the length and didn't think I could even attempt, but I am so glad that I did. I got 91 minutes. This my be my favorite puzzle I have ever done on this channel. The logic flowed so well. Absolutely Incredible!
I was a bit confused by the Reban rules, until Simon explained the top line. Then I realised the dot numbers had to drop a line, and then repeat in the 3rd line along with the other 2, and I was away.
I got the 9 in r4c9, then got stuck. I felt much better when Simon got to the same point and then said "I think I'm about to get stuck here".😅
It's surprising how you can get stuck on your own version, then resort to the video and whilst Simon is explaining a move you already did , you suddenly see your next move somewhere else.
I like the fog of war puzzles, as the fog always gives you a clue as to where to go next, unlike open puzzles where it could be anywhere in the grid. 70 minutes. Very happy.
"It's surprising how..."
Indeed! This happens to me all the time. I think it's hearing Simon make calm, logical deduction after logical deduction. It somehow resets me into a more logical frame of mind, and allows me to make deductions that were previously eluding me.
2 hours and 13 minutes, definitely my hardest solve ever. What an amazing puzzle!
It took me exactly 133 minutes! our solve times were identical, HAHAHAHA!
and an extra 12 seconds as-well if by some chance those were also the same
took me 01:41:45. i made like 2 mistakes right right at the beginning that i had to go all the way back to fix. but im still happy with my time! if i had attempted this last year i wouldntve been able to solve it at all
This is the best FOW sudoku I have ever solved. What I found the most special about this sudoku is the consistent difficulty level through the whole solve path. That’s probably why this is the first time I was able to solve a +1 hour solve video. Thanks for this !!
havent even started watching the video yet. Giving the puzzle a go cos it looked so intriguing... i'm 5 minutes in and just wanted to say - this beginning is GENIUS
Update: I finished and watched the video straight afterwards, to see Simon embark on the same fantastic journey I had just completed. Myxo, this puzzle was so up my street I can't even tell you. It was pure unadulterated FUN from start to finish. It really was like exploring a little abstract neighbourhood of beautiful logic. The fog was used to perfection in so many places - rather than fog just being a mechanism for revealing things in a particular order, I love it when you really have to imagine how things connect up behind the fog in order to solve it.
Favourite parts were the same as Simon's; the RIDICULOUS break-in at the beginning... needing to imagine how each pair of digits on the black dots gets bumped onto the next row down on the line, and how this then means R3C1 and R4C2 can't contain the same digit. Realising the orange line can't be length 9. Realising the green line HAS to be length 9. And the last few cells of fog in the bottom right holding interesting secrets until the very end.
Definitely in my top 3 FOW puzzles I have seen. Don't just take a bow - take a hull, a stern.. in fact take the whole ship 👏
@@martysears Exactly the same reactions for me! I HAD to see Simon go through all the "ah ha!" genius steps I had experienced myself. That was such a good fog of war puzzle.
I loved the rule about the coloured Renbans, and figuring out how to both make it work, and decipher which line gave us the first digits. I was a bit less enthused later on in the puzzle, making sense of all my pairs, triples, quads, etc. But it resolved nicely in the end :)
This puzzle was, unlike some fog of war puzzles, not at all simplistic or simplified by the constraint of the fog. The reasoning, though perhaps limited to where in the puzzle you could see things, was quite amazing and wide-reaching, I thought. Thanks so much, Simon - I always enjoy you enjoying yourself while doing a puzzle, and this was especially true tonight.
Simon the translation of the puzzles name is: neighborhood in the fog or clouded neighborhood (depending on how you want to understand the word clouded) allthough the adjectiv "benebelt" is usually used for "clouded" minds not actual mist.
Um actually... the most accurate translation (I found) would be: muzzy neighborhood.
Foggy is usually "neblig" with a mostly literal meaning
"Benebelt" is an adverbial form used as an adjective with the (often figurative) meaning of "covered" or "affected" by fog/mist. (Not to be confused with "eingenebelt" which is another adverbial form but has a kind of more specific and clearly physical meaning of "surrounded" (e.g. a ship) or "penetrated" (e.g. a bush) and alike with fog/mist as the result of an action/event.
Yes, German is fun indeed...)
This said, clouded neighborhood is a decent translation.
It can also mean "drunk". Or "woozy" if that state of mind isn't caused by alcohol. Maybe that was the intention, but while not wrong it also sounds a bit strange in this context. "Vernebelt" is another option for this, but that has connotations of someone actively causing fog or smoke.
Very very very very very enjoyable puzzle. Took me just under 58 minutes. Now to watch Simon solve it...
Myxo is definitely one of the Jay Dyers or Phistomefels of the world.
Simon names not one but TWO heptominos in this video! The polyomino naming enthusiast in me is throwing a little party.
I finished this one a little ahead of Simon. The main difference is I was fortunate and saw the 2s aligning in columns 4 and 5 right away, and that gave me a fog-clearing 2 in box 2.
I thought when Simon saw the aligned 4s in columns 8 and 9, he might look for similar. Hopes dashed.
Pronunciation note: "Benebelte" should be accented on the second syllable, like "beh-NAY-b'l-teh". The root word is "Nebel", which means fog.
I cannot tell you the joy of solving this puzzle! The logic was immaculate and really tested my abilities, but I got through it with no help and no resets! Fog of war is my favorite rule set and this is truly the best I've played.
Thanks CTC for featuring this puzzle. The logic felt so good to walk through it really felt like I could see the solver walking me through the puzzle step by step once I started the ball rolling.
Simon's method for finding the 2 in box 7 is exactly why we love Simon!
69 minutes for me (nice)
Although this is 4/5 difficulty, FOW puzzles are definitely easier since the next step is easier to find. The logic still isn't easy though. Awesome puzzle
Yay, Luc! His mum is a fabulous flutist also, and his siblings all musicians and music teachers; it's a family business!
Can i just say, i cant go a day without watching simon do battle with some of the most exquisite puzzles.
When i started watching the channel in 2019, i had no idea how much joy a simple 9x9 grid could give so much adventure and discovery.
Hats off to all involved in this community of solvers and setters. ❤
33:59, really enjoyed how the fog added a line shape deduction game to the puzzle. Every element seemed to add something useful, and it was fun how it would bounce you back and forth all around the grid but not frenetically. Great puzzle!
44:00 that has to be the most convoluted way to get that 2, love it😂
Super daunted by the length of the video, but I managed to finish it (after many distractions) in 71:50! What a phenomenal puzzle, really got to flex a lot of the techniques I’ve picked up watching the channel
Don't be daunted by long Simon videos. These days (for me anyway), its just an invitation to beat his time. He dodders around so much, ignores all the low hanging fruit, and is determined to search out the most complicated 5 steps of logic to deduce a naked single that was staring him in the face for 15 minutes. If its a Mark video over an hour?... that's another story.😨😨
It's not often I find a puzzle that feels perfect for me. It took 68 minutes, no cheating. Would buy again. A+++
Awesome
Not like Simon 7:26 who cheats xD
1:59:31 for me. I have no where near the mastery of logic than many of you here possess, and I can not be happier with the time i finished this puzzle in.
The logic as to how the Blue, red, and yellow lines were constructed, really helped me crack the opening. Unfortunately, there's a few times where, looking back after seeing Simon's solve, I feel like i got lucky with bad assumptions. I got the 9 in R9,C1 without considering that the gray line could have been 4,5,6,7,8,9.
One thing I'll say about "Fog of War", it really makes you focus on one or two logical elements, and how they interact.
Magnificent puzzle Myxo, I am very pleased I took the time to solve it.
This whole puzzle is sublime! From start to finish - the logic is so incredibly satisfying. Thanks for posting.
Wow..just wow from you Myxo!!! Astonishing solve from you Simon!! This channel is just amazing each day.
59:49 for me. Oh that one was a BLAST! Especially the idea with the gray line I enjoyed very much! 😊
I got stuck for so long cause i did not see the gray line. They should have chosen a different color there
You know the puzzle is a real doozy when Simon neglects to greet Maverick!
I watched the old prison break puzzle yesterday and the two Myxo recent solves and you guys can logically deduce on a different realm of reality, it's amazing. Making a puzzle seems insane - it's crazy to see a master at their craft.
I can definitely see why many people regard this as one of the best fog of war puzzles out there. Pretty difficult but it never quite feels like the fog is just annoying, rather it's there to make you think. I really liked the element of having to determine the shapes of the lines, and I never really felt stuck, which is always a plus for me. I did it in just over 70 minutes, but I could have been faster if I had spotted that the 9 had to go on the purple line (which I somehow didn't realise for probably a good 10 minutes until I thought about maybe actually doing some sudoku, as you can see Simon's influence is pretty strong haha). Absolute genius setting work by Myxo, I really enjoyed this one!
45:42 for me. That is a seriously good puzzle - it's now on my short list of favorites.
Every time I think we've reached peak Simon, I'm proven wrong. The latest entry in this series is the logic for placing 2 on the green line at 43:44. *chef's kiss*
We love you Simon, don't ever change. 😀
Simon: "Ah! I now think _this_ is the 2 on the green line."
I honestly laughed aloud.
What fantastic fun this one was. Fog is wonderful for keeping the solve linear and giving direction to keep you from getting lost for long periods of time.
That green line in box 7 was legendary.
Another tour de force of settler and solver!! 👏🏻👏🏻👏🏻Simon and Myxo!!!
Big thanks to Simon for clearing up markup after it's been used, puzzle is cleaner that way. And a great puzzle took me 101 minutes :)
I love puzzles like this where the first digit is hard earned but totally possible to logic out
That was gorgeous - 32:58 for me. So many lovely bits of logic in it, but part of me loved the simplicity of the final renban line that got revealed, and the way that it sorted everything out even more than some of the more intricate bits.
I’ll admit that it went full on Mark when I got stuck. Surprisingly helpful in a fog sudoku.
I'm gonna try this, but if it took Simon over an hour, I'm surely doomed.
Go for it! It took me an hour and a half, but it was worth it.
I got as far as the red and yellow renban lines had to dip but got stuck. Didn’t see the 2 in r4c2, genius but above my ability for now.
@@oneeyedman4431That's the only deduction that was tricky for me. It's definitely of a different caliber than most other deductions in this puzzle, so don't feel bad.
I found this one quite doable. The logic at the very beginning is a little challenging, but once you get that, it rolls along nicely. You hit other hard patches, but they're not crazy difficult. Lots of fun.
55 on the dot for me. Feels like I'm beating Simon's (slowed down by commentary) times more and more.
Great puzzle. Went from "this must be impossible, right?" to being done pretty quickly with some neat lightbulb moments.
This puzzle was a blast to solve!
My first solve of an hour long Simon video. I love these fog puzzles.
Shoutout to that 2 that had to be placed in r2c6 in box 2! Finding it clears 9 full squares of fog which finally truly confirms the shape of the blue and red lines, AND it reveals the white dot in box 3 which is crucial to finishing off the puzzle!
It not only FEELS rewarding to find, bur ACTUALLY directly rewards you with how much, and what, it reveals. The 1 in box 4 has a similar rewarding feel to it, although I personally failed to spot the easy naked single, lol. The 2 in box 2 could have been spotted by Simon earlier if he had noticed the X-wing on 2s in boxes 5 and 8, but finding it at the point when he really needed it only makes it more of a reward.
My own final time was 39:31, which I'm very happy with!
44:09 😭 there was literally a 68 pair staring at you, and Simon just goes on to prove it in a complex way
Took me about 90 minutes to solve which made me proud, this is definitely not an easy puzzle. But then again, Simon proved his ability to make me feel stupid :)
19:30 "ah, we're being told that is a 2" blew my mind. I worked out in decent time, what the lines roughly look like, and then in like half an hour from there found that 2. Simon spots it instantly, that is insane.
Thanks Myxo and Simon, certainly one of the best FOW puzzles out there!
What a break-in. Even though I went very exactly step by step through the process to figure out the first digit I still wanted to gasp when it was right.
Haven't even tried the rest yet, I just had to come in and comment about that.
Edit: Finished in about 50 minutes. That was amazing. Such a big smile on my face so many times. Not really overly hard, but constantly surprising.
normally an 60min+ video from mark is beyond me. but this is FOW, so I'll give a a try. I flubbed the initial lines, but still lead to the 1 in box four, and I got back on track. 49:44 was my time. pretty happy pleased. came back here to see how mark did the bottom three rows. Loved the 2 in box 7!
This really shows how different minds work. I had no problem seeing the shape of the lines as soon as the clues appeared, but of course totally stumped on almost everything else. 😅
This was insanely fun to solve, my favorite sudoku varient by far is the fog.
This was a great puzzle! Although it took me an hour too, I’d still recommend it to beginners looking for a challenge. There aren’t any outrageously hard techniques required to get through each step, once you know where to look.
I loved the initial logic required to decipher the lines and get the first digits clearing the fog. It took me a bit longer to plod through the rest, but I did it with help from wild pencil marks and sudoku - Simon’s favourite things! 😂
The break in was won of my favorites ever.
Very proud of myself, solved with a time of 53:04. Noticed pretty early on that there was only one place for 2 in column 6 after 12 pair was placed in box 8 and noticing that 2 could only be in r5c4 and r5c5 in box 5. Made the solve much easier since placing the 2 in box 2 cleared fog and placed the 45 pair in box 3.
Fantastic puzzle! Those long-distance fog clearages were downright thrilling when I found them.
52:10 for me. I quite enjoyed this one. Fog of war puzzles are just so fun and this one had some interesting logic.
Great solve as always. And of course Simon finds the most round about way of getting digits. The 2 in row 9 was a classic!
This is the comment I wanted to see. My brain was exploding watching Simon disregard Sudoku lol
I definitely needed a little pointing from Simon to get through this, but I can agree that it's the most elegant and clever fog puzzle I've done for sure
44 minutes, now definitely time to get some sleep. I like these new variants of fog puzzles where you have to consider the paths of various lines.
Very nice! 52:52 for me.
45 minutes of awesomeness! Absolutely loved it.
Solved all on my own in about an hour! Magnificent puzzle, I adore fog of war puzzles, no need to worry about where to look next. It's always great at showing you exactly where the next clue is. Grand recommendation from me :D
Hands down one of my favorite puzzles of all time!
lovely puzzle , the logic flowed in a way that was really satisfactory
Adored testing this back when it was posted to the Discord! Very fun one.
This was my first 4 star solve! Took me 100 minutes exactly, and was so much fun the whole way through! What a beautiful puzzle.
What an amazing puzzle! Had so many "wow" moments. Such a genius construction!
At 49:20, Simon says of the black line "if this is a 4 9, we can still fit the necessary digits ..." But you can't: 8 is already excluded by sudoku, removing the 9!
That took me a couple minutes to notice.
All is dark and grey.
Then a digit clears the fog.
Slowly, light seeps through.
A Haiku by Fnaire Otter
12:06 as soon as he put this pair we know row 3 column 2 is a 4 (since 2 and 4 are the only possible numbers since only they can get halved and doubled while staying in sudoku numbers and that square has 2 black dots), which would've made row 3 column 1 an 8 since the 2 is already taken in that box, and row 4 column 2 a 2, but instead he proceeds to talk about lines for the next 8 minutes just to gain a tiny part of that same knowledge
Loved it! Solved it without getting stuck and needing hints for a change!
Loved it. Such a fun puzzle, especially with the 149 on renban lines twice. And then a couple of surprising digits you can find. My favourite was the 2 in box two. That felt out of nowhere right in the middle of some fog. Very well thought out puzzle. Mad respect.
Wow, one of the best puzzles I've ever done! Super proud of finishing it at all. Ended up with 62:13
More fog puzzles please!!!
I couldn't see the line in r9c8. I was smashing my head against the wall (figurative) trying to make further progress. Finally caved to see how you progressed - solved it in about 30 seconds once you pointed out the line.
It always blows my mind how you have these brilliant ways to solve these but then sometimes get stuck by missing simple things.
One of the best you've done!
Can the pink link be 9 long by adding the 12 on the black dot? Also you could add the 67 to the grey line
Yay! Another myxo puzzle!
Such a cool puzzle, it's awesome how the first line to see (blue) is literally the last one to be solved!
I love it when Simon says, "C'mon brain..."
43:48 Simon's logic for placing the 2 after all the digits are pencil marked in the box anyway!
At the very beginning you can deduce that the red line touched the 6th cel on row 3, and by extension the yellow line hits the 5th, 6th, and 7th cells on row 4.
Because the lines cannot be diagonal you must add 2 length every time.
Because of the black dots and the continuous numbering you know they need to be on a different row.
To see that the yellow and red lines have to be 9 cells: they must include at least one cell in each column 3-9, which is 7 cells. In some column they have to turn down to another row, and in some column they have to turn up again, and in each of those two columns they must include at least one more cell.
What a fantastic puzzle. Fun all the way through.
This was such a fun puzzle! Once I got to around where you had things at 59:00, I realized there was an x-wing with the 2s between boxes 5 and 8 that allowed the placement of the '2' in box 2.
By now, whenever I see a Fog of War puzzle, I'm in! This one made me a bit hesitant due to the video length being above 1h, but I jumped in anyway. I found the break in without a problem, but then I got stuck when I forgot about doing Sudoku. I didn't even think about looking for a naked single, so I completely missed that and needed Simon to tell me that. After that, though, I was able to logic out the rest of the puzzle, only needing a "reset" of sorts when I broke box 9, so I needed to figure out how far to rewind by checking the video. All in all, this was a very enjoyable puzzle!
Fogs are always a fun and nice puzzle. Took me 35 mins, but a really fun puzzle once you realise what the top lines look like.
This might actually be the best fog of war, figuring out how those lines worked was wonderful
This was an interesting puzzle because for the first time I was ahead of Simon for all of it until somewhere in the middle. This line logic was very intuitive for me, but when more of it got revealed Simon's excellent Sudoku eye is unbeatable, even though he got semi stuck on the obvious 7 to collapse it at the end.
Stunning puzzle, thank you. A little over 90 minutes for me.