"One Of The Most Fun Puzzles I've Ever Solved"

Подписаться 604 тыс.

Просмотров 92 тыс.

50% 1

BIG NEWS: We have just reached 5,000 patrons on Patreon. A huge thank you to everyone who is supporting us. As a result we have released the Sudoku Murder Mystery Hunt FREE. Just follow the link below and get cracking the crime!!!
/ crackingthecryptic
Today's sudoku has proved enormously popular on Logic Masters Germany (where the quote from the video title can be found) and the Discord server. It's called Broken Renbarrow and it's by G. Have a go at it at the link below:
app.crackingthecryptic.com/su...
Rules:
Normal sudoku rules apply. The digit on one end of each line is the sum of the 'other digits' on the same line. Those 'other digits' are a consecutive non-repeating set in any order.
There is a practice puzzle with the same rules (except the circles on each arrow are given) here:
app.crackingthecryptic.com/su...
▶ MORE PATREON MADNESS ◀
We've just released Heatwave, a set of incredible thermo sudokus by the astrophysicist grkles! (Don't worry you don't need to be a rocket scientist to solve them!) You can join us on Patreon here:
/ crackingthecryptic
▶ SUDOKU PAD - Our New App ◀
You can now input your own classic sudoku puzzles into our software using our new App! The app also comes with 12 handmade puzzles from us and it should be released any moment at these links:
iOS:
apps.apple.com/us/app/svens-s...
Android:
play.google.com/store/apps/de...
**************************************************************
▶ OUR NEW ARROW SUDOKU APP IS OUT ON ALL PLATFORMS!
Here are the links:
Steam:
store.steampowered.com/app/16...
App Store:
apps.apple.com/us/app/arrow-s...
Google Play:
play.google.com/store/apps/de...
▶ OUR NEW KILLER SUDOKU APP IS OUT ON ALL PLATFORMS◀
apps.apple.com/us/app/killer-...
store.steampowered.com/app/14...
play.google.com/store/apps/de...
▶ SIMON REACTION BOARD (!) ◀
With thanks to Andrea for creating this :)
simonreacts.avris.it/
▶ OUR MIRACLE SUDOKU APP IS OUT ◀
Steam: store.steampowered.com/app/13...
App Store: apps.apple.com/us/app/id15273...
Android: play.google.com/store/apps/de...
▶ CTC FAN DISCORD SERVER◀
/ discord
NEW: Guide To Our Discord Server:
tinyurl.com/CTCDiscordGuide
▶ OUR BACK CATALOGUE - ALL CATEGORISED WITH LINKS!◀
tinyurl.com/CTCCatalogue
▶ OUR NEW THERMO SUDOKU APP IS OUT!◀
AppStore: apps.apple.com/us/app/thermo-...
Android: play.google.com/store/apps/de...
Steam: store.steampowered.com/app/13...
▶ NEW CRACKING THE CRYPTIC MERCHANDISE◀
teespring.com/en-GB/stores/cr...
▶ OUR CHESS SUDOKU APP IS NOW OUT!◀
AppStore: apps.apple.com/us/app/chess-s...
Steam: store.steampowered.com/app/12...
Android: play.google.com/store/apps/de...
▶TRY OUR CLASSIC SUDOKU APP◀
AppStore: apps.apple.com/us/app/classic...
Steam: store.steampowered.com/app/11...
Android: play.google.com/store/apps/de...
▶TRY OUR SANDWICH SUDOKU APP◀
AppStore: apps.apple.com/us/app/sandwic...
Steam: store.steampowered.com/app/11...
Android: play.google.com/store/apps/de...
▶SEND US PUZZLES TO SOLVE/CONTACT US◀
crackingthecryptic@gmail.com
▶FOLLOW US◀
Twitter: #crypticcracking
@crypticcracking
Instagram (for how to solve daily clues from The Times): crackingthe...
▶SOFTWARE◀
Play the puzzle in the video by clicking the link under the video (above). We are building a website which will allow you to enter your own sudoku puzzles into the software and this is coming soon!
▶Logo Design◀
Melvyn Mainini
▶ABOUT US◀
Hi! We're Simon Anthony and Mark Goodliffe, two of the UK's most enthusiastic puzzle solvers. We have both represented the UK at the World Sudoku Championships and the World Puzzle Championships.
Thank you for watching!
Simon and Mark

Опубликовано:

3 авг 2021

Ссылка:

Скачать:

Готовим ссылку...

Добавить в:

Мой плейлист

Посмотреть позже

Комментарии : 305

@SmartHobbies 3 года назад

23:51 The moment when Simon gets on a roll and has that giddy grin while his voice gets higher - Priceless

@wade_23 3 года назад

Can I say how much I enjoy you sharing some of your favorite things Simon? Like when you shared the “math” problems yesterday and now with the poem. It’s nice seeing your eyes light up with excitement about things like that

@AlphaAxle 3 года назад

The Witness is one of my all time favorite puzzle games and I have dreamed of you playing it on the channel for a long time. Never thought the day would actually come! Extremely excited to watch :)

@MazerTime 3 года назад

Thank you so much for the commebt i almost skipped over it Witness hype!

@olanmills64 3 года назад

The Witness is fantastic

@rafaelruggi 2 года назад

As I watched the sixth episode, I'm still the highest hype...

@Matilda_the_Hun 3 года назад

28:36!!! What an incredible puzzle, every step was so perfect, all those pairs coming out of the blue, and genuine discovery working out the rules. This is why I do puzzles!

@ruokothyan7658 3 года назад

honestly i am so happy that we get an sudoku video additional to the live stream, it was really nice the stream was a bit earlier because the video uploads a few minutes before 10 pm

@thoughtbyte 3 года назад

Today's stream was awesome! Looking forward to The Witness. (and a shout out to BaBa is You, another great puzzle game I think you and your viewers would like).

@carljohanr 3 года назад

I think you might like Understand too

@oloxyg5882 3 года назад

On which platform does he stream, and with which name please ?

@thoughtbyte 3 года назад

@@oloxyg5882 he streamed on RU-vid under this cracking the cryptic channel.

@susanne5803 3 года назад

I love Bart Bonte games. Edit: They are minimalistic brain twisters with a visually very elegant unique design.

@kaksspl 3 года назад

@@thoughtbyte Really? I didn't see it at all and I can't find it either. Is it archived?

@jamesandrewes9640 3 года назад

17:24, the 234 triple in the column gives you the 9 straight away...

@smylesg 3 года назад

We need to invent a mouse that administers an electric shock if he moves the cursor a certain distance away from a newly added pencil mark without checking its consequences.

@six_5000 3 года назад

It never ceases to amaze me how often I end up staring at a puzzle for several hours and get nowhere, yet five minutes into Simon solve I can see at least a dozen things I should’ve done

@sarcthesheep8348 3 года назад

I can say with pride that in the tag along, I've actually managed to find multiple digits ahead of you! I'm getting better at backseat sudoku solving.

@altcommand 3 года назад

Simon focuses on the larger logic that solves the puzzle, so he misses minor things that the rest of us notice as we sit here watching and looking at basic Sudoku logic. I'm personally not proud of noticing these things. It's more of a sign that Simon is leagues better than you or I.

@karlwaugh30 3 года назад

This was amazing and interesting. One of the first ones I've finished in less than the video length (yes I know there's rambling but I count that as a handicap time). I didn't use parity, or at least not concously, just the "possibilities" pencil marked for potential end points until I had enough info to disambiguate the ends and/or values. Great puzzle.

@th.nd.r 3 года назад

I find it so interesting that you saw the 123 triple in row 3 but not the 234 triple in column three. I love how you see things to be honest. Often the most brilliant minds fail to see what the average mind does but sees other things none of us can. Great solve :)

@leojs5673 3 года назад

A crossword stream AND a sudoku video? Thanks for spoiling us Simon! Also, these new apps sound awesome, cant wait to play both!

@shachamarazi3720 3 года назад

Why is the yellow cursor back we want the blue one!😂😂

@queryalways 3 года назад

Does anyone else have musical pieces playing through their heads when Simon solves these puzzles? There is such a rhythm to it, I don't always hear the tempo correctly, but the movement, the way he solves it, the clacking of the keys - it's all there for me. I also sing randomly to myself when I solve, so maybe it's a me thing? Either way - to me watching Simon, it's like watching a music video. Thank you for these moments of joy in my day :)

@wossaaaat 3 года назад

Thanks for doing the stream Simon! I couldn't do any of it, but enjoyed it nonetheless. Hopefully this puzzle will be more my speed.

@inspiringsand123 3 года назад

Let's get cracking: 07:43 And how about this video's Simarkisms?! Sorry: 1

@derekfordyce9 3 года назад

How are you so fast at this?

@zackbryans4982 3 года назад

The Witness is a FANTASTIC puzzle game, I would love to see that!

@Tombsar 3 года назад

Fantastic puzzle! I wasn't 100% sure I had understood the rules at first, but it all worked out very nicely.

@Swisswavey 3 года назад

That was fun. I loved the way that little gems of realisations come to you slowly as you become more familiar with the rule-set.

@CockroachED 3 года назад

The Witness is such a pleasure of a puzzle solving experience, looking forward to watching you play it Simon.

@katiebullock5766 10 месяцев назад

This is the first sudoku I've tried that I've seen Simon do and I SOLVED IT! So proud of myself - loved the video Simon. Love from Australia x

@Scinasari 3 года назад

This channel got me into sudoku :) Simon's excitement is infectious and I love watching someone having an awesome time doing what they love! Thanks for this channel!!

@samanthan4140 3 года назад

So excited for you to play The Witness! My absolute favorite game and I hope that you’ll enjoy it as much as the community does. Can’t wait to watch!

@geli95us 3 года назад

Fun fact: every single 9 in this puzzle could be part of a 4 cell renbarrow, (I.E. they touch a 4 3 2 string of digits in some way) It's left as an exercise for the reader to calculate the probability of that happening on a random sudoku :)

@iamjeramy 3 года назад

Interesting observation! Also interesting, you can't do it without repeats. The 2 in box 2 is isolated. :)

@angblue222 3 года назад

Love the poem!!! Thank you for sharing!

@blcmd 3 года назад

23:38 That matches the time from “Let’s get cracking” to the end of the video, making it the closest I’ve ever come to Simon’s solve time (but since he finished 57 seconds before the end of the video, I didn’t quite make it). Definitely a great puzzle. I wonder how this variant would work if a 2-digit “pill” was allowed at the end of a line to represent the sum. My head hurts just thinking about that possibility.

@alistairsanger3111 3 года назад

When I joined your channel during lockdown I wouldn't have had any idea how to even start this puzzle. Today I had an enjoyable stroll through a lovely puzzle. Thanks so much for unlocking all these sudoku variants for me. Thanks to G also for the puzzle :)

@bristolrovers27 3 года назад

GAS App, brilliant news Your live crossword solve was great fun

@deszeldra 3 года назад

I enjoyed this one so much. So original yet so approachable! Especially with the practice one. And it's so much fun to watch Simon enjoying puzzles so much too.

@torstenaan 3 года назад

I loved the poem

@toiryelhsa 3 года назад

It's the first sudoku I tried in ages and my first ever without any digits at all. I have to say it was a good start into the more tricky puzzles. My scanning was rubbish, I confused myself with the software (it is great, I am just inept) and advanced pencil marks, and I made a mistake at one point requiring taking several steps back...but it was a great puzzle overall. Thank you, CtC, for the wonderful channel and daily dose of sudoku entertainment:)

@werefrogofassyria6609 3 года назад

The Werefrog started by placing 6 and 8 around the grid, since they were so restricted.

@brianontiveros-kersch2412 3 года назад

Me on opening: I wonder how long before I yell at the screen about the obvious digit. Me after 3 minutes: oh

@maxentius681 3 года назад

Great puzzle, loved the interaction with 6's and 8's, immediately noticed that and caused the break-in to the puzzle.

@crystaldazz 3 года назад

Just wanted you to know that your videos always put a smile on my face. I may not understand how you do what you do, but you do it well, and it's incredibly entertaining and educational to watch. Thanks. :)

@RageDG391 3 года назад

Besides The Witness, which is arguably one of the best puzzle games ever made, I would also recommend indy puzzle games for streaming since they usually has much shorter playthrough time. One of my favorite from last year is called Filament, which combines puzzle-solving and story-telling in a delicate way. The playthrough time is about 30-40 hr for over 300 puzzles.

@nickroethel3326 3 года назад

I recently came back from a Korea deployment. As I'm sure everyone knows we wake up super early. So with the time difference I'd finished exercises. Go back to my room. And during breakfast time there would be a new puzzle to try. Or at least a new video to watch. Back in the states the video doesn't come out until almost after work. So I spend the whole day just impatient wanting to give the next puzzle a go. Makes me look forward to getting off work more

@ApesAmongUs 3 года назад

I lost count of the number of times I said "where does the 8 go in row 5?"

@gordonglenn2089 3 года назад

Live Stream Cryptic Crossword was a blast, thanks so much. Looking forward to more.

@VeritasUnae 2 года назад

Got out the test puzzle in about 13 minutes but messed up my timer on the bigger solve. After Simon's tip about 6s and 8s the puzzle just completely opened up and I loved every minute of the solve. Congrats G and Simon!

@dudesinhappy 3 года назад

I love puzzles but I'm not very good at them I mostly watch for beauty of the puzzles. I usually try them before I watch but cant figure it out and just end up watching the video, this is the first puzzle I've been able to finish and I feel super proud. So thank you!!!

@doris1826 3 года назад

Simon: "How many 4's have I got? Answer: all of them. Ta-dah!!" So Simon-esque!

@gordonglenn2089 3 года назад

That was great fun. Thanks for the warm-up puzzle, that definitely helped to establish some of the ground rules for the game. I got as far as thinking that the sum of any short renbarrow had to be an odd number, but did not follow it all the way to make the 6-8 rule.

@Rubrickety 3 года назад

I haven't started trying to solve this yet, but the puzzle title made me laugh out loud. What with palindrometers and renbarrows, I think portmanteau puzzles are the wave of the future.

@iceblade732 3 года назад

what a masterpiece! Had a lot of fun solving it, and there was some beautiful logic in there! Kudos to the setter

@jessicaschultz732 2 года назад

I really appreciate your enthusiasm and joy while solving these puzzles, it’s infectious!

@NabsterHax 3 года назад

Really enjoyed this one too. The middle column really clued me into how limited the lines were right away which helped me solve the whole thing without getting stuck.

@slarzyer 3 года назад

i was watching a few older vids(because i just recently found this channel) and saw you were inquiring about vid length...and personally i like the longer vids because the logic you use to solve those are more difficult and seeing that happen more often helps to impede those strats into my brain better

@slarzyer 3 года назад

but it dont need to be infinity long to do this i suppose ...but the longer it takes the more extreme the strat becomes i guess

@xyzmanizator 3 года назад

Well, it took me a couple seconds short of an hour to solve this despite getting to the state at 13:00 in just a minute after I've started. Once I've realized that 8 can never go on any of the lines, it has given me a momentum I've needed.

@longwaytotipperary 3 года назад

Love the poem! Looking up Brian Bilston!

@t71024 3 года назад

Speaking of poetry, Desmond had a broken Renbarrow at the marketplace.

@BozoTheBear 3 года назад

LOVED this! Thanks, G!

@Adrian_Grey 3 года назад

This is a really clever mash-up of variants, and one that's not too difficult. Loved it!

@TurquoizeGoldscraper 3 года назад

24:39 for me - I guessed at one point (9 in box 6) and it worked out, there was some logic I missed. After checking Simon's answer, I didn't find that R6C7 is forced to be either 78, I had 789 penciled there.

@ajfizzlesticks5423 3 года назад

Loved the stream today, Simon! It was very fun and I can’t wait for the next one!

@susanne5803 3 года назад

The stream was so nice! Thank you very much! Edit: Great news with the app ideas!

@salomefredericks6652 3 года назад

What a genius construction that the 78-pair gets the solver to think about the 8s in the puzzle to get them to the next step.

@janquecaspower8133 3 года назад

Oh my, I'm really looking forward for the streams!

@EntirelyPointlessContent 2 года назад

Really happy to have finished this one in 45 minutes. Bit of a perplexing task to come to terms with the pencil markings but everything comes together eventually. I liked the unfolding pairs that broke everything apart.

@notthatseanbean 3 года назад

That's wonderful to hear about the GAS app! I love doing those with my wife every day during lunch. Thanks Sam, Phil, and Clover! for all your work.

@kerinbot 3 года назад

If you want to find the easiest way to do a livestream look up a free program called streamyards which runs from a browser and feeds directly to RU-vid. You might find it fun and easy to use if you are having any problems with other programs like Mobius (?) or what ever program it was that you were talking about. Definitely easier on RU-vid than twitch.... In any case, wanted to say I love your videos and sometimes watch them as I'm going to bed just because I find them so relaxing and fun to wind down with. Hope you keep making them for a long time!

@MisterM2402 3 года назад

The practice puzzle actually took me longer than the main puzzle! Both tricky but doable (for me), though I wish I could have seen the logic more readily instead of cycling through each arrow option and copious pencil marking.

@mikesmith4365 3 года назад

20:06 "The power of seven-ness" is an ability I never knew I needed to hear until now.

@studgerbil9081 Год назад

My rule of thumb is to take the video length and divide by 2 and that gives Simon's actual solve time, and a good idea of the difficulty.

@marcelhaas 3 года назад

Brian Bilston is an absolute hero!

@michelleangel6948 3 года назад

Great sudoku! Really enjoyed it

@eddieharwood7788 Год назад

I was slowly struggling to get most of columns 7, 8 and 9 done and then decided to watch Simon. As soon as elucidated the fact that neithe a 6 nor an 8 could appear in a 3 cell line I went back to my solve and it just flowed out at a speed that I am unaccostomed to.

@cecelialehmann6112 3 года назад

I really liked this one. I'm not a huge fan of renbans in general but I liked this combo. I needed to the video to get started a bit but then was able to solve it. I went back and watched the video and it's interesting that I took a different route at some point.....still solved it but it's cool how there are more than one route to get to the same end.

@tomtheultimatepro 3 года назад

9:54 for me, didn't expect an approachable Sudoku from Simon's Video :D

@flyingkeyframes 2 года назад

i loved this, really hope more are made

@theoneandonlyflexo 3 года назад

Please please make the witness streams available to be watched after the fact! Its one of my favorite games and watching you work through it will be amazing!

@JuanMataCFC 3 года назад

loved the puzzle, despite taking nearly 40mins to solve it! i think we're gonna see many more of these "circle-less arrows" puzzles in the future, the concept looks very cool.

@sanctionbuster 3 года назад

57:48, which includes a couple of rewinds! Fun nonetheless though.

@erp1011 3 года назад

I rarely have a go at the puzzles but I managed this one in 75mins. Was great fun and loved seeing Simon breeze through it after. Since this is my limit of difficulty at the moment I would def welcome a GAS app!

@JohnFiala 3 года назад

Wow, this was really fun. I was a bit daunted by the lack of directions on the lines, but with your help I got over that and was able to race ahead, and then watch you do it as well.

@ashtonavocado 2 года назад

finished this one in just under 40 minutes! the first sudoku with no given digits i've been able to solve so yeehaw

@Raven-Creations 3 года назад

I loved that, it was so much fun, and fully deserves it's plaudits. I particularly liked the purity of this, just one rule (apart from normal sudoku). I think this variant has legs. This ruleset does mean that lines can't be longer than four, which eliminates some of the subtleties of arrows, and the consecutive rule is quite a tight restriction, so it may not be possible to make a really hard puzzle with it, although having said that, I'm sure some of the usual suspects (you know who you are) will have a go. Before I'd fully got my head around the rules, I started out by centre-marking the ends of the 4-cell lines with 69, and the ends of the rest with 3579. The middles I pencil-marked 1234 and 12345 respectively. This helped me see where there were pinch points. As I converted these pencil-marks to conventional marks, I shaded them E.g. the vertical 4-cell line had 69 on the ends, but it wasn't a 69 pair. Once I worked out it couldn't be a 9 arrow, I converted it to a 1236/123/123/1236 quad and shaded it. This worked quite nicely. I could use shaded cells to eliminate options from the ends, and also from the middles without having to Goodliffe the grid. If neither end could be 3, I could remove 1 from the centre cell, and if I removed 1 and 2 from the centre, I could remove 3 from both ends.

@balazsnick2868 3 года назад

The warm up puzzle helped a lot, getting a good feel for the rules, especially on what can be in bulbs. I made the "mistake" to look at the comments before starting so I got a hint on a break-in (not an actual digit, but just what numbers to focus on) so when I started pencilmarking I immediately noticed what is "missing". Not sure if I had found it without the hint. Still took me a good 40 minutes, but it was a smooth work - with the feeling that it unwinds well. Like the new rules very much.

@timothykrell 3 года назад

Streaming the Witness would be amazing! The witness is hands down my favorite game of all time, and it would be amazing to see you experience it for the first time!

@logiciananimal 3 года назад

(re: Venn) Apparently Euler is also responsible for similar diagrams. I've been told there's a general rule in the history of mathematics - everything is misattributed. :)

@Anne_Mahoney 3 года назад

I remember learning in grad school about how Killing developed Lie Algebras and Lie worked on Killing Forms -- they more or less named them after each other iirc.

@auroreinara7322 2 года назад

First puzzle featured on the channel I managed to solve! 37 minutes. Was a pleasure too!

@bryanhickernell7189 2 года назад

I feel like Simon is to smart for his own good sometimes in these Sudokus… figures some trick to break into the Sudoku that I never would have guessed. But literally can’t see the naked single 2 in the middle because he’s thinking he’s gotta do another hoop jump to get to it. Simon you are smart as heck and I couldn’t do half the things you do with Sudokus and your always a joy to watch especially when you do things like that

@HunterJE 3 года назад

Yay, I've been thinking XV + kropki would be a great combo for an app for a while!

@Zoutepepselmetkomkommer 3 года назад

52 minutes, not getting stuck. I'm really happy with that

@adamberthold5941 3 года назад

Really approve of the idea to stream The Witness!! Have been thinking of suggesting it in the comments several times! Going to be good fun!!

@baksban74 3 года назад

38:21 I missed so much pencilmarking on the lines i had to work out what they might be after autocorrect feature said "u wrong mate". I don't remember how i got to the conslusion the top left line must be 9, but it too was resolved, although i left 5 in place of 3, which was the final stretch to solve. Thanks for the practise puzzle.

@osirusbrisbane2305 3 года назад

This was, as promised, a lot of fun to solve!

@Lord_Volkner 3 года назад

That was a very enjoyable puzzle. Thanks for sharing it with us.

@Plauer97 3 года назад

More streams, Simon)! We are looking forward to spending more time and playing witness with you)

@francescopetracca374 3 года назад

16:23 practice 21:44 Broken Renbarrow Yes, it's approachable, but without the practice one it would be harder. Liked it a lot, btw 😁

@Coyotek4 3 года назад

15:24 ... OK, I'll concede that this was approachable (and very enjoyable). Nice puzzle!

@CauchyIntegralFormula 3 года назад

35'34". It took me a while to realize some of the implications of the line rule, but once it clicked it went pretty fast. I like this new clue type!

@DarrenNakamura 3 года назад

Stared at the puzzle for 12 minutes before I found anything to do with it. Finished it in 54:31. Fun!

@jaredgunkle1562 3 года назад

im so excited to see you tackle the witness

@amoswittenbergsmusings 3 года назад

An enduring mystery on the channel is Simon's mind. Today he said "I am so bad at sudoku" and suddenly it hit me. The number 57 is known in mathematical lore as a Grothendieck prime - after Alexander Grothendieck, one of the all time greats of mathematics from whose trough we are all still feeding. He overhauled algebraic geometry, a subject intimately connected with the prime numbers. In a lecture he needed a two digit prime to illustrate a point and took 57. His mind thought about primes differently from the rest of humanity. This is Simon. For him, a sudoku has erogenous zones that beg to be tickled, a mysterious appearance that wants its secrets to be revealed, an apparition from another realm where the universe sings. The rest of us see a grid with numbers. I plodded to do today's offering and, yes, I got there in the end and I even got the parity stuff early on. I am, after all, a bit of a mathematician. Yet, I had to force myself to not be distracted by sudoku before I sussed out all the subtleties. For Simon, this is just like breathing. That his scanning sucks is a very small price to pay. Grothendieck was not less of a mathematical genius for not recognising a prime number

@Gonzalo_Garcia_ 3 года назад

13:43 for me. And 6:54 for the practice one. Really nice idea!

@dannstarrjp 2 года назад

Honestly, one of the most fun puzzles I’ve solved too. I’m kinda new to sudoku but this one despite not being easy I was able to figure out and solve relatively quickly (less than 1h) which I’m really happy about.

@specialkalberta 3 года назад

Ok, this would've only taken me a few hundred years to figure out without Simon's help so I'm getting better. On almost all other advanced sudokus it was a few million years. Maybe it would've been less than a few hundred - although I figured out the secret about the digit 8, the secret about the digit 6 didn't occur to me somehow. Unfortunately I also had to try multiple times to solve it as I was obviously making some faulty deductions along the way.