The Illegal Sudoku Cage
** TODAY'S PUZZLE **
An absolute cracker today from Cris Moore in the form of his Square Dance - a puzzle which teaches some simple arithmetic and some gorgeous logic. How do these strangely numbered cages work?!
Play the puzzle at the link below:
app.crackingth...
Rules:
Normal sudoku rules apply. Cage totals are shown in the upper left corner of the cage. Inequalities between cells point to the small of the two digits. Nine cells in the grid are “multipliers”. If a multiplier appears in a cage, then it multiplies the sum of the other digits in the cage to produce the cage total. For instance, if a cage contains 3, 4, 5, 6 and 3 is the multiplier, the cage total would be 3*(4+5+6)=45. A multiplier which is not in a cage has no effect. Each row, each column, and each 3x3 box contains one multiplier, and each digit appears as a multiplier once.
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Пікірлер: 194
Did anyone else notice that the cage totals were all perfect squares, going along with the "Square Dance" title? I also realized square totals greater than 81 were possible. 100 can be achieved with a 5 multiplier combining with a 3,8, and 9, or a 4, 7, and 9.144, the highest possible, can actually be reached with several possible multipliers: 6, with a 7, 8, and 9; or 8, with a 5, 6, and 7; or 9, with a 4, 5, and 7.
@glenchidester7791
Жыл бұрын
What about 9 with 6, 7, 8 = 189?
@darreljones8645
Жыл бұрын
@@glenchidester7791 I was specifically thinking of square numbers.
@monkeyunit4533
Жыл бұрын
@@darreljones8645 So how about 360, just use a 3x3 cage :D
@a18181818
Жыл бұрын
@@monkeyunit4533 360 is not a square. Luckily for you, a 3x3 cage would be 36 * 9 = 324, which is in fact a square.
@monkeyunit4533
Жыл бұрын
@@a18181818 oops. I messed up my calculations there.
Don't worry guys, Simon will eventually see the red x-wing in rows 8-9 at 42 minute mark!
@christinalind2034
Жыл бұрын
Plz no spoilers 🤞
@zegmakker5869
Жыл бұрын
@@christinalind2034 nothin wrong with a minor spoiler like that. as millions of comments have said before, if you don't wanna get spoiled watch the vid first before the comments.
@yehwellwhatever
Жыл бұрын
@@zegmakker5869 it’s not always possible to avoid the comment displayed when clicking the video…
@egerlachca
Жыл бұрын
Ugh... 10 more minutes... 🤣
@RichSmith77
Жыл бұрын
Half an hour waiting for him to tidy up those red cells in box 9. As Simon would say, "How many multipliers do we expect to find in the bottom two rows. That's not a facetious question...Two!" 😂
Oh from the thumbnail I thought this was going to be a 3x3 board and I was wondering how could it possibly take 50 minutes to solve! Lol!
@bartubulkaz5150
Жыл бұрын
Me, too
Would love to see you guys play through The Talos Principle! There might be a way to adjust the settings to fix the field of view and mouse speed, should help with the motion sickness. EDIT: some cursory internet research found someone who'd fixed their motion sickness with the game by switching from DX11 to DX9! maybe give that a try.
@WombatSlug
Жыл бұрын
I was able to "fix" my motion sickness on it by turning off the "bounce" of the camera.
I always watch these before bed and I love it! If you ever have the opportunity to post a sudoku in night/dark mode for easy on the eyes I would love it and play it most evenings. :) But I understand you’re a very busy man, and I appreciate everybody’s hard work. Thank you for all you do!
Ooohh I'd fancy the Talos Principle!! Loved that one, played it couple of years ago and would enjoy seeing it on CtC! Indeed very clever logic AND story AND visuals in that one. On the motion sickness: there are different playing options to choose from, and with the over-the-shoulder viewpoint I had no problem with motion sickness while playing
32:21 ... I really love sudokus with the 'one thingamabob in each row, column, and box' rule Nice puzzle!
I hope you can do one more Taiji stream as you missed the best parts of the game! There is a secret room filled with a ton of the most brilliant puzzles in the game, and there is a whole second ending involving Witness-style environmental puzzles that are equally amazing. The game went from a 9/10 to 11/10 for me after I discovered these extras so I hope to see you guys finish it
The Talos Principle is a great game. Probably one of the parents of the current crop of first person puzzle games. I think you could credit Portal with bringing the genre back, of course.
@Qsalis
Жыл бұрын
Portal would also be recommended, but there's much more quick-time dexterity involved in Portal (when compared to pretty much none in the Witness). Gents might need someone to help them get past certain bits of the game.
@NoobixCube
Жыл бұрын
@@Qsalis If The Witness causes Simon motion sickness, I can't imagine what Portal would do. Hell, maybe it'd be easier on him because the motion in the game is so abstractly different from motion you'd ever actually experience that it might completely break that connection in his head. More likely it'd just be significantly more nauseating as the view tumbles over and over as you fall into portals on the ground and get shot into the sky feet-first.
@Qsalis
Жыл бұрын
@@NoobixCube Yeah, there's a lot of motion. Maybe Mark should try tho :D
Hi Simon! I found this channel over Christmas, and since then it has been instrumental in getting me through my university homework and readings 😂. I haven’t gone a single day without doing my work with one of these videos propped up in the corner to help keep me focused - not very successfully I’m afraid, as I often get distracted by a brilliant breakthrough or solve, however it is very enjoyable! It’s past midnight, I’m on my fourth cup of tea, and I’ve almost finished my latest project to the sound of another brilliant sudoku soundly cracked! Thank you for all the (unintentional) help, I’m sure I’ll be watching even more come midterms!!
@GuilhermeCarvalhoComposer
Жыл бұрын
Welcome aboard! I see you're hooked already :) Have you watched Simon's solve of the Miracle Sudoku? Don't schedule any homework for that one, it's just too riveting: kzread.info/dash/bejne/q3-am8OOedvKkpc.html
47:10 for me. Struggled for at least half that time to figure out why the Multiplier in Box 9 wasn't allowed to be an 8, but from there it solved smoothly. Really nice puzzle
The way I determined where the 4 and 8 went was quite different. Since I immediately saw that the mutiplier in box 9 was in row 7, I realized that putting an 8 there would go r7c9. But that would give us a 7 in r7c4, then putting an 8 in r4c4, and that would leave no place to put 8 in box 6. So box 9 had the 4 multiplier.
@RichSmith77
Жыл бұрын
This was my way too. It required ruling 8 out of the 16 cage in box 6, that Simon also did, but not in the most straightforward way. If 8 went in the 16 cage, it had to be accompanied by 134, but those aligned with 134 in the 9 cage in box 5, so all three would have to go into the top row of box 4, where we already know we need a 2. Four digits into three cells won't go. Far simpler than Simon made it appear, I thought. This was probably the route to avoid the hard work on the 16 cage that Simon did, to get its precise constituents far earlier than I did.
At this point I just sit on the channel and refresh at 8:30 and I beat the notification 😁
The Talos Principle is one of my favorite games! It’s right up there with The Witness and Taiji for me!!
Oh how delightful! I solved this one yesterday and thought it was truly wonderful. What a coincidence that it's now featured on the channel today!
Well ... I solved it, but it definitely felt bifurcatey. The main thing I missed was the trick about putting a 4-multiplier in box 7 breaks box 4, which is very simple when you see it, but I just didn't 😥. But a great puzzle despite my own shortcomings! (On the plus side, I wasn't the one to miss a red x-wing that was just sitting there for half an hour, I spotted that one straight away!)
@lordclockworks1570
Жыл бұрын
Yeah me too, I solved it by figuring out you can't put 8 multiplier in box 9's cage, because it causes 4-cell quadruple outside the cage in box 6 to force a 6 multiplier in box 3 be in the same column as 8-multiplier.
@pialba
Жыл бұрын
@@lordclockworks1570 Yep, that's similar how I solved it too (mult 8 on box 9 would be on the right of the inequality sign, which puts 6 in r2c8, which puts 1267 in column 8 which blocks the 64 from being 125×8, and it can't be 134×8 either because then 3 can't be placed in column 7)
The puzzles in The Talos Principle are excellent and its underlying story/philosophy I feel elevates it to a true work of art. Normally, I wouldn't expect that side of the game to translate well to streaming but I think the CTC community would appreciate this complimentary aspect of the game too. Either way, the story side of the game is not mandatory and does not in any way stop you from exclusively enjoying the puzzles. The game reportedly induces motion sickness in some players. There are some 'motion sickness' options worth trying (turn off view bob, increase field of view (FOV), decrease player move speed, turn on 3rd person view). Having said that, the issue of motion sickness is a highly subjective one and it is difficult to predict if Simon will feel comfortable playing this game or not. From my perspective, I enjoy Simon and Mark's commentary the most when they are in the 'puzzle solving zone'. As much as I love The Talos Principle, I think everyone's enjoyment of the stream would be diminished if Simon was feeling uncomfortable while playing.
I realized today I love watching these videos so much Simon I watch you every day. It makes me feel like I’m solving a puzzle with a buddy. I love you guys for this channel its been great for my life. Thank you
Ok Simon.... "How many red cells do you expect in row 8 and row 9 of the grid?"
@meiter
Жыл бұрын
So facetious
I am currently playing the talos principle myself. There are „anti motion-sickness“ adjustments in the setting. I too have trouble with motion sickness, but with these settings it works for me 😊. I really enjoy the game… i highly reccomend it!
A small hint to help clarity. To mark the multiplier in all red cage, I leave the corner mark, even if I've filled all center marks of the cage. e.g. We figured out from the start that the 49 cage had 1247 as center marks. So leaving ^7 corner mark helps reminding us that 7 is multiplier, not sum.
+1 for talos principle! It may trigger motion sickness but it has adjustable field of view which I hear helps a lot. It’s a brilliant game.
When this channel started blowing up there were more different types of puzzles I remember, but I'm having trouble finding them. There should be a playlist for non-sudoku puzzles. One was about land and water I think...
18:04 for me. I love these modifiers, they make puzzles so much more interesting! Great puzzle!!
I really liked this ruleset, and would definitely love to see more puzzles like this! I appreciated the use of square numbers -- it made comprehending how to use the multipliers really clear from the get-go, which is always a key thing for me with a new ruleset! Bravo!
Strongly recommend the talos principle. just... play it knowing you'll be up to some reading and not reading in the talos principle kills all it's purpose
Around 30:00 the way to explain this is that a 1348 cage would create a sort of virtual x-wing on 134 in R5&6, so 134 in B4 would have to go in R4, but there also has to be a 2 there, meaning 4 numbers in 3 cells
@stangerrits6712
Жыл бұрын
Exactly what I thought
@Chris Moore, thank you for a cool puzzle, @Simon, thank you for a nice solve and a lovely video.
Nice puzzle. 45 minutes while concentrating primarily on the football. Thanks for sharing it.
The Talos Principle is an amazing game! I'd also love to see Patrick's Parabox!
41:32 is probably the most relieved I have ever been! FINALLY! x'D But it was a great puzzle. Thank you for sharing it, as always! ;-)
The Case of the Golden Idol was a bit short, though I found it very good. I highly recommend the Return of the Obra Dinn, if you have not played that; I found it much harder and more interesting than The Case of the Golden Idol, and the visual style & feel of the game has stuck with me long after playing it, in the best possible way.
@RichSmith77
Жыл бұрын
They've already done Return of the Obra Dinn. There's a playlist for the videos, kzread.info/head/PLK-l8O0YikOl2AUzt8xVnu8fuoHnSHgFy
The easy way to see the thing at 30:00 is that if you put 134 in the cage with the 2 also needing to go down there somewhere, you have 1234 in rows 5 and 6 in boxes 5 and 6, meaning all of 1234 have to go in row 4 in box 4.
PLEASE play The Talos Principle! It's easily one of my all time favorite games period, not even just in the puzzle genre! It is absolutely fantastic! There are many options that can be adjusted to combat an potential motion sickness, suck as field of view, third person camera, and even movement speed (puzzle timing is adjusted accordingly). It's definitely worth looking into.
I recommend Recursed and Bean and Nothingness as puzzle games.
The key to this puzzle is getting the 4-8 multipliers differentiated. Once you reach that point, it's all super easy. Getting there, though, was a hard bit.
Simon refusing to keep track of his multipliers and follow their logic was painful in this one!
I think I've seen other people suggest this one, but it might be fun for you and Mark to play through We Were Here, because it's a cooperative puzzle game where two people get different puzzles and have to solve them cooperatively in separate rooms, while giving hints to the other player.
the talos principle is a great game. not just logically in its puzzles. but the way it tackles the philosophy of human existence and sentience...id recommend playing it on the 3rd person camera mode
Case of the Golden Idol was awesome but nobody I’ve watched did a full playthrough of it. It’s nearly like Obra Dinn, I loved watching.
Very nice puzzle -- one of the ones I wish I'd tried myself before settling down to my evening's diversions.
I adore Talos Principle. Have a fiddle with settings to help with the motion sickness though, you’ll definitely need to.
Based on the functionality of this puzzle's logic, and the fact that none of it crosses any box boundary, it seems like you can just transpose it one box downward (rows rearranged as 7 8 9 1 2 3 4 5 6) to get two 3s in corners.
After you mentioned Talos principle I had this thought: Have you played Portal?
I liked the use of multipliers in the rules of this great puzzle
Please, please, please do 999! Or more specifically the first game in the Zero Escape trilogy. Its amazing, filled with puzzles, and the final specifically is perfect for yall.
@acantilado
Жыл бұрын
I have another take. 999 (and especially the 2nd game in that trilogy) are so special and the plot twists so epic that it would be a shame to spoil them for the viewers. Simon should instead film a reaction video that doesn’t give away the plot!
@Lunaphire
Жыл бұрын
I also highly recommend the Zero Escape trilogy to anyone! At first by "the final" I thought you were referring to ZTD, which I was under the impression most people were disappointed by so I was surprised. Then I realized you meant the final puzzle of 999, which... yeah, Simon would crush that in probably a minute, lol.
You should really play "Last Call BBS", it's a really nice collection of medium length puzzle games, you could probably get a stream or 2 out of each. Start with Dungeons & Diagrams, then do the others in any order.
Brilliant puzzle and not very difficult. And by the way.... The minor key version of the theme music is particularly beautiful.
The Case of the Golden Idol is easily one of the best puzzle games of the decade, and I'm certain both you and Mark would enjoy it. Extremely wordy though
Broken Sword - I’m convinced Simon will love it!!
The Talos Principle is absolutely incredible. Especially the expansion content Road to Gehenna. It is a fully first person game though, so motion sickness could be a concern. There isn't any fast movement though, just looking and moving around while manipulating the environment. Kind of like The Witness in that respect. E: I'm actually wrong, there is a third person option now! If having a character model for visual reference helps motion sickness then that's a good option.
In a final episode on this channel, Simon should say "We are cracking the cryptic"
It's so easy once you see it! Simon is a wise man!
I think that short games are a perfect fit for the game stream format you've got!
I think you'd really enjoy the game Return of the Obra Dinn. It's a large interactive logic puzzle, where you need to find out how each member of an 19th century ships crew met their untimely end by investigating various vignettes from different points in time and from different perspectives and using what you find to piece together exactly what happened. It has a lot of "ah hah" moments, where you get that great sense of satisfaction from solving a good puzzle.
@sarahlowes1501
Жыл бұрын
Mark and Simon played this game over the course of six streams begining in October 2021. You can find them using the search facility on the video listing for the channel.
Patrick’s Parabox! Very cool puzzle game you may enjoy
Absolutely lovely puzzle, thank you to the setter!
1:54:27 for me but only by assuming the box 7 multiplier. I just couldn’t find a way if disproving the alternative! I was loving it up till that point. Time to watch the video methinks. Edit: OMG - I’m gutted I missed that - so obvious really.!
The whole world: CARNIVAL!!! Simon: pancake day
Great solve! Great puzzle! And PLEASE attempt The Talos Principle - that game is brilliant
That 4 and 7 multiplier logic was on spot.
Did a lot of this one on my own but got stuck at the end. Ending up having to watch to 36:50 to solve the rest of it, really did miss that having a 4 in the box7 64-cage would put two multipliers in the same column, was too focused on the math working rather than where the multipliers went. Solved pretty cleanly after that, since the math only worked one-way with the rest of the cages. Great puzzle :D
This puzzle, if i had to describe it, it's a hidden Quadruples puzzle. It's got 2x2 cages where the solver has to deduce the contents, which then evolve into effectively the same as if they had been quatruples clues from the start.
20:50 He didn't really explain why the 9 can't be at the bottom of column 5. This would put 1/2/3/4/5 in 4 cells in column 4 boxes 5 and 8. You could use a fifth cell in box 2 to contain the fifth of these 4 digits (specifically, the 2) in column 4, but then you would have to cram the remaining four digits 1/3/4/5 in box 2 into R1C6, R3C5, and R3C6
@EdoTimmermans
Жыл бұрын
Simon pointed out that 7, 8 and 9 are in C5 and C6 of box2, but maybe not clear enough. Therefor 7, 8 and 9 must be in C4 in positions 4 to 9. In those positions 7 and 8 can only be in R4C4 and R7C4, so 9 must be in R8C4 or R9C4.
To be fair that's dangerously close to making him do Sudoku.
I imagine it must be quite mentally tiring to solve a puzzle every day (and they are generally increasing in difficulty and variety judging by video lengths!) for 4+ years on the trot and having to record it (and run the channel). Both Simon and Mark have remarkable stamina. This was a great puzzle - the only tricky part was resolving the 4-8 multipliers. I really think it would help Simon if e.g. the green colouring was removed (once the multiplier possibilities in red are defined in each box) AND changing red highlighting to e.g. yellow. Blue digits on red are VERY difficult to see/scan. Of course, not noticing the "X-wing" in Box 7-8 multipliers impact on Box 9 really slowed down the solve.
I'd love to see you try Heaven's Vault, which is a narrative game where you play an archeologist with her robot partner trying to figure out where a researcher went. Puzzle elements are based on translating an ancient language which helps you learn about the underlying mysteries of the universe you're in.
it's more than a little impressive how far Simon got without using the single most obvious clue this puzzle had to offer
Actually, if you consider the boxes and cages, ALL of the threes were in a corner.
Awesome puzzle, very clever. I would love to see you play Golden Idol, I think it is a very clever game and certainly not too wordy for this community. It'll probably take 4 to 6 hours overall, which seems ideal for 2 or 3 streams.
An oldie but a goody game called Braid, it came out about 15 years ago on Xbox 360 and is an absolutely mind blowing game created by the guy who made the witness, it was one of his first games and I’m still awestruck with how good it was all these years later
@Harrery
Жыл бұрын
For context, it’s about a 5-7 hour game from 2008 and had plans of being remastered for modern consoles in 2021 before the pandemic
12:20 "Not that hard YET". I've passed that stage, even placing the digit in the R1C3 multiplier cell, and I'm now stuck. 29:40 With the 8 combination, 134 are forced into row 1 in block 4. There's no place for 2. 30:30 Then ruling out 589, the only combinations are 7621 and 7432. 72 are forced into row 6, 43 in row 5 breaks R5C4, so 61 is in row 5. 40:00 That's a 45 pair in the cage, block 9 row 7.
"I've got 5 on the inequality here. ... I don't think that is useful..." Meanwhile I've been imploring my phone for three minutes straight to please make Simon see that R8C8 and R8C9 can't be red because otherwise you couldn't put a multiplier anywhere in row 7. So therefore, the 4 has to be in R7C8 or R7C9. And with 5 now *also* having to be in one of those two cells, we get a 4-5-pair. On the inequality sign. *Which tells us the order of the 4-5-pair*. 😂 It's really interesting to see how Simon thinks about these puzzles, because it took me an embarrassingly long amount of time to figure out where the 5 in box 9 goes, while I had figured out where the 4 went much earlier. Whereas Simon immediately saw the positioning of the 5, but didn't see that that places both the 5 and the 4 in that box. Goes to show that no two people think alike
Talos Principle please! Perhaps Mark could play it and Simon could commentate (and close his eyes when needed)?
At 41:30 I clapped and sighed relief. Finally he spots it.
Yay, so early :-) looking forward to the solve!
Liked that one, but missed a few things which made my solve protracted than it should have been.
It might trigger your motion sickness, so maybe check it out beforehand, but Fez is a brilliant puzzle game that's all about perspective and I'd love to watch you play it. I sent a key a while back (around baba is you time)
Finished in 21:10 by following along with the video.
I would love for you guys to tackle Deadly Rooms Of Death, a wacky puzzle game originally from 1996. It's got a ton of very difficult and entertaining puzzles, and I haven't seen a lot of love for it on youtube unfortunately.
Ahhhhhhhh *scrubs face with hands* FINALLY he saw it. LOL LOL LOL
You guys should resume Baba is You. Theres high demand for it and its a proven series on your channel
It's incredible that all the cage totals were square numbers and the solve path was still so smooth (or could be, if Simon was a little less blind... :P).
Not so much a puzzle as a mystery game, but I'd love to see the two of you take a crack at Disco Elysium xD
This is a re-suggestion, but Head Over Heels on the C64 (or emulator, which I prefer, because it is possible to save) is one of my mostest favouritest games. Along with Wizball which is not really so much about puzzles of any kind, but entertaining whatsoever.
52:31 plus 17:50 on my phone where I hit a wall = 70:21. It wasn't that bad to start, but I was super stuck for like 20 minutes because I was ignoring the 16 cell in Box 6.
As soon as I saw 81, I knew the rules would involve multiplication
I'm confused by the intro. I thought Simon hated sweet things, especially chocolate cake?
Hi Simon, I know you've tried a little bit of Myst and it bothered your motion sickness, but I was wondering if there was a version or setting that you'd find suitable. It started out as just a point and click game, so there must be some version you'd enjoy. I would love watching you play Myst and Riven, they are great games!
Hi Simon. Would be great to see you return to playing The Last Cube at some point if that is at all a possibility but will also say that the Talos Principle is a great game and may actually be quite to your liking (once you’ve found a way around the motion issue). Thanks again for the Taiji stream, loved it. :)
How can he completely ignore box 9?
01:05:13 - 66% slower than Simon, faster than my usual 100-200% slower range. I lost a bunch of time when after I placed the 4 in box 9 I didn't recognize that it places the 6 in box 9 via multiplier restrictions, easily 10 minutes of staring at the screen wondering why I couldn't place anything before I remembered what the color coding I had done meant.
Hi Simon, just a bit of feedback on coloring choice: using red and green as your colors can make it difficult for colorblind viewers to follow along. Blue and orange or blue and red would be a better choice.
Simon except the red x-wing in row 8 and 9 you did good sudoku wise in this one, but when looking around for some step around 40 minutes in, there is a mess in row 7. r7c2 can't be 8. r7c7 can't be 5, and there is the x wing putting the 4 in box 9 into row 7. I'd say there is enough to find, and i find it very distracting to the value of the solve to see you struggling to choose for the simple stuff first, once you hit a brick wall.
That way to prove the 8 multiplier is so much simpler then the way i did it. I proved that it cant be an 8 in the other cage, because a 8341 would leave no space for a 3 in the cage above and a 8521 would force both multipliers in the same colum due to the inequal sign.
I am hoping that one day you will play the Myst series of games.
At 17:38 he says there is a 3 in the 81 cage. Can someone help me see how that must be? He doesn't explain it.
@MrMisterMaster
Жыл бұрын
The 1-2-6 option in the 81 cage is ruled out because a 1-2 in the 81 cage and a 1-2 in the 9 cage would force a 1-2 in C6 into the 25 cage (not possible), therefore leaving 1-3-5 or 2-3-4 as the only remaining options for the 81 cage (both containing a 3).
@glenchidester7791
Жыл бұрын
@@MrMisterMaster Ah! That makes sense. Thank you!
@MrMisterMaster
Жыл бұрын
@@glenchidester7791 I'm happy I could help!
you don't see the red x-wing in r8/9 and you don't see the 5 in column 7. lol How do you miss BOTH? lol
@awilliams1701
Жыл бұрын
lol now he gets it.
A puzzle game that i adore, but never finished because it's really really hard is "Snake Bird"
21:20 I'm new to sudoku with modifiers :) Am I correct in thinking that there is a naked single 2 in r2c4?
@RichSmith77
Жыл бұрын
I'm not sure that's the correct terminology, but he could certainly place a 2 in that cell. It doesn't see all the other candidate digits - doesn't see 5,6 - so it's not a "naked" single. But regular sudoku on 2s in the top three boxes means it can only go in r2c4 in box 2. So it's a hidden single, rather than a naked single (it being the last place for a 2 in the box).
@OtterCid
Жыл бұрын
@@RichSmith77 oooh thank you so much for explaining the terminology!