The Four Eiffel Towers
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- Опубликовано: 20 июн 2024
- ** TODAY'S PUZZLE **
Happy Birthday Jojo81! We're attempting your puzzle, Irregular Whirlpool, today and it's absolutely incredible. Only 11 people have managed to solve it in the last year...
Play the puzzle at the link below:
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Rules:
Place the digits 1-9 once each into every row, column and 9-cell bold-outlined region. Digits along an arrow must sum to the digit in that arrow's circle. Digits in cages sum to the small clue in the top left corner of the cage.
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▶ Contents Of This Video ◀
0:00 Theme music and puzzle introduction
2:51 Birthday
3:30 DiMono's New Sudoku Hunt On Patreon
4:32 Rules Of The Puzzle
6:40 Start Of Solve - Let's Get Cracking!
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▶ 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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Развлечения
😮😮 utterly unexpected thank you so much for solving!
Happy Birthday!
Happy birthday!
Intriguing puzzle. Hope you are having a wonderful birthday
Now I've watched the video, you found and explained the break in beautifully.
The naked single is there as a reward for everyone who completes the SET correctly I'm so glad you saw it.
I wanted the puzzle to not completely fall apart after the break in, but that each new piece on information takes you around the grid to learn something new until it falls apart.
According to a test solver this is possible without using the SET, but I honestly don't know how!
@@jojoj81Gaming Wonderful puzzle!
Set Theory in an Irregular Sudoku. No wonder it has so little solves. What an elegant break-in. Simon again amazes us with being able to find the break-in to a puzzle that looks impenetrable.
Remarkable indeed. Unfortunately this comment got so many thumbs up, that it is a spoiler for mobile users, who do get displayed the most liked comment under a video
simon is an intuitive genius and sees things like this will remarkable speed
@@florianzellmer8735 I read it but never heard of it
@@dwebb2805 Yes, but do not ask him to do simple sudoku
@@florianzellmer8735 it can be solved without the use of set theory. it was spoiled for me so I specifically set out to solve it without set theory and it can be done.
I figured out the set theory to get the 789s without watching Simon walking me through it!!! I never figure out set theory things on my own. I'm so happy I managed to work it out myself!
As someone who isnt highly educated but loves watching puzzles being solved. Hearing the set theory explained was super helpful. (:
I guessed it was set but needed Simon to show me where - after that it all went so smoothly. Loved it.
I'm so proud of myself that I managed to do this completely on my own 🎉
I don't normally watch the videos but I might actually have to this time to see if Simon found a more elegant way than me to get started
This is criminally undersolved. After getting absolutely mindblasted with how you figured out the orange cells. I refused to solve with you. I cannot in good conscience take credit for a solve I can't even understand. What a beautiful puzzle and a brilliant mind behind it's setter.
Simon's gotten so good at solving that lately, he can do them in no time at all. :U
Rules: 06:19
Let's Get Cracking: 06:43
Simon's time: 42m31s
Puzzle Solved: 49:14
What about this video's Top Tier Simarkisms?!
The Secret: 7x (03:13, 03:21, 38:20, 38:28, 38:34, 38:40, 38:40)
Three In the Corner: 3x (37:38, 38:04, 38:07)
Bobbins: 2x (24:46, 45:50)
Scooby-Doo: 1x (20:20)
Phistomefel: 1x (10:54)
And how about this video's Simarkisms?!
Scrabble Tiles: 18x (15:24, 15:29, 15:31, 15:37, 15:59, 16:14, 17:23, 17:29, 17:35, 17:44, 17:44, 19:50, 19:55, 20:13, 20:24, 20:30, 22:27)
Lovely: 9x (03:19, 26:28, 34:17, 36:33, 39:40, 42:34, 42:36, 42:36, 49:23)
Ah: 9x (14:11, 14:18, 14:29, 29:12, 31:28, 33:05, 41:54, 42:30, 45:50)
Sorry: 5x (22:05, 25:57, 31:47, 44:22, 44:42)
Naked Single: 3x (23:11, 44:38, 47:03)
By Sudoku: 3x (09:25, 27:08, 45:21)
Hang On: 3x (15:26, 32:15, 44:22)
In Fact: 3x (36:33, 41:39, 43:29)
Obviously: 3x (15:09, 16:57, 17:53)
Good Grief: 2x (32:43, 33:37)
What on Earth: 2x (21:44, 26:10)
Goodness: 2x (11:18, 29:17)
Naughty: 2x (37:07, 41:32)
Beautiful: 2x (02:07, 49:38)
Brilliant: 2x (03:26, 39:04)
Gorgeous: 2x (22:03, 50:20)
Shouting: 2x (03:09, 04:20)
Surely: 2x (43:08, 43:23)
Whirlpool: 2x (00:32, 04:36)
Plonk: 2x (15:59, 42:41)
What Does This Mean?: 2x (07:15, 28:33)
Pencil Mark/mark: 2x (10:37, 31:50)
The Answer is: 1x (20:17)
Nonsense: 1x (13:53)
Break the Puzzle: 1x (42:47)
Our old Friend Sudoku: 1x (24:37)
Proof: 1x (11:18)
Unbelievable: 1x (42:11)
Whoopsie: 1x (44:16)
Wow: 1x (08:04)
That's Huge: 1x (29:41)
Cake!: 1x (03:27)
Symmetry: 1x (02:25)
Most popular number(>9), digit and colour this video:
Twelve (11 mentions)
One (113 mentions)
Orange (19 mentions)
Antithesis Battles:
Even (6) - Odd (0)
Higher (2) - Lower (0)
Row (25) - Column (23)
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!
Thanks for the break in, helped me out. Even though i could see something going on there, i couldn't quite get the set correct. I think i missed that orange is counted twice 🤦🏽♂️
Its always interesting seeing you solve the puzzles, very different line of reasoning to mine.
I had different logic for the 40min mark where you place 5 in the circle.
The circle could only be 5 or 7, but placing a 7 in the circle, would rule out 7 out of both orange cells making them both 9's.
That held me up too.
Simon... I know time is a human construct and all that, but I am fairly sure 3 In The Corner is older than 1 year by now . Almost positive actually. And yes, it is part of the Community now, one of the Cornerstones, an Inside Joke.
This was amazing. When I found the set, my jaw dropped!
In my country, Scrabble tiles have letters on them 🤔 😅
In Simons scabble you get letters for putting correct numbers.
When I see there's a 50 minute video for a puzzle that almost no one has managed to solve, it's a pretty safe bet it's going to be a SET break-in. 😀 I just wish knowing that actually enabled me to figure out the right sets when I try my own solve.
That was a properly brilliant puzzle. Set on irregular sudoku is I think a first for me.
I always ❤the scrabble tile/bags explanation!!
❤️ that you 🩷 his bringing out the bags as much as me. 😀
@@davidrattner9 ❤️that you share my ❤️for the scrabble bags too 🤗
Took me four hours but I managed it on my own! Quite impressed with myself given LMG only had 11 solves
Such a magnificent puzzle. And now I feel disappointed that I let Simon entertain me with his solve instead of trying this puzzle myself. Love SET puzzles, haven’t seen them for a long time on the channel.
I rarely can spot set, and somehow it just clicked from the start. Beautiful puzzle, jojo!
This was very fun to watch - and a great example of the use of set theory. I love the SET explanations, and do not tire of them or the appearance of the scrabble bags. I also appreciate the 3-in-the-corner cultural aspect of this channel, though I do not know the song (and it does strike me, from what I have gathered, that the idea of someone "losing my religion" and a party also seems a bit incongruous - given the choice I would definitely choose the party - perhaps I should try to become more familiar with the song). Thanks for the video, Simon, and sharing your delight in these wonderful sudokus - this puzzle definitely deserves a lot more attention!
I heard the song on the radio the other day and it took me completely by surprise 😂
The song is very famous from R E M . Indeed try and get more familiar with it if possible.
Simon , his bags , your support and writing, just many things to look forward to each day. 🙂
@@MissKapanadze same here - a few months ago
@Emily Williams yes Simon’s excitement while solving puzzles keeps me watching even when I’m not that into a particular puzzle. His voice, his self deprecating humor, his kindness, his positivity - so much to ❤️ !
@@longwaytotipperary I agree entirely.
Happy birthday Jojo81! Excellent puzzle
38:35 for me, what a lovely intricate puzzle.
Good stuff, I like your videos and this was a great puzzle! I struggle at these so much, but its fun to try. This one took me three attempts and 6 hours, and I needed Simon's sets to get me started. I restarted twice when I "Broke" the puzzle because I didn't understand that the arrow around the central digit could contain repeating numbers. I also ended up coloring the disjoint set, and using colors to track their positions, which led to a different solve path to Simon's, but the initial break in was very similar (well, I used his first step, haha).
Wonderful puzzle ! Thank you !!!
More amazing solving from you Simon!! Thankful every day for this community and channel!!
Beautiful break-in. I thought about Phistomefel (being intriged by it since introduced to me) immediately, but could not the "right" sets of digits 1-9 to play with. Chapeau, Simon. Great solve. But evenly chapeau, Jojo! Great puzzle
Happy birthday Jojo, what a fantastic break-in. I would never have spotted that use of SET theory, even if I looked at it all week. Enjoyed the little background story of the 3 in the corner tradition... does anyone know which was the first video where Simon did the song? I would enjoy going and watching a little piece of history...
25:39 for me, the puzzle screamed set theory from the beginning and it was a really pleasant solve!
25:08 for me. What a beautiful puzzle!! Loved it!
Solved it without the use of set theory. I did see some suspicious patterns, but never figured out how to make use of it. An hour+ well spent. Brilliant puzzle.
Same here! Completely different logic than Simon used
Same - started with there having to be a 3 on the arrow in c2, and no 4, which narrows down the options for r5c1 - and on somehow from there.
I appreciate when you go through the set theory thoughts. I do not tend to think that way and find this marvelous when that works.
Happy Birthday Jojo!
Lovely puzzle and great to watch Simon solve it.
Sometimes when I spot some logic I think that I can try and solve some of these puzzles. But after seeing this sorcery with nunber, I know to not be hasty.
Struggled for an hour making small deductions here and there. Went to watch the video for the solve and saw a comment that said “set theory”. Super face-palm. Went back and solved it fairly quick after that. Loved working out set theory in an irregular sudoku!
Excellent solve. Excellent puzzle. Really enjoyed watching that.
Loved the Scrabble bag explanation. Thank you your a great teacher.
The king of coloring, refusing to color the irregular cages and drop all the useless colors (other than green), blows my mind - it would have made it even easier for him
SET is always so beautiful... 🤯
50:56, I needed help to see that I had to look at the cages and Rows/Columns 2 and 8. Was able to solve it from there.
What an extraordinary puzzle. It was more than adventurous and it took me several restarts to finally get to the solution... and now I need to recover. 🤣
Took me 53 minutes. The break-in was quite challenging for me. Once I was past that it was a. Very smooth solve.
A truly wonderful puzzle from start to finish
@42:23 "Well, that's infuriating." Nostalgic for me, the number of the house I grew up in is 2368. But I understand your perspective.
Had to watch past SET theory to actually get started, but then solved all on my own :D
I always seem to really struggle with puzzles that require set, I just don't have the spacial reasoning for it
Great explanation of set theory, I am just left wondering: How on earth do you play scrabble with tiles with numbers on them? Maybe you can lay 3.1428 across from 2.718 etc etc... That would be an interesting and VERY nerdy game...
Nice Solve.
Brilliant puzzle. Six hours for me without using SET.
somewhere between 14 minutes in to 22 minutes in is an explanation of set theory, where a set of cells on the grid are explained to be equal to another set of tiles. If you pick up right around 22:30 you should see the result of it.
40:39, although I started the puzzle after the initial set theory hint.
I didn't see how to use set theory in this puzzle, so the solve for me was brutal. I managed to do it, but it took a lot to get anywhere. I mostly focused on row 5, with how the arrows that overlap with row 5 and the 10 cage all interact with each other.
Good morning everyone!!
22:13 for me. Extremely happy with that time.
As I continue to go through my backlog of failed solves, I shake my head at this one; I simply missed the necessary SET theory, and after applying it (after peeking at the video), the sudoku virtually solves itself.
Too tough for me ... I likely gave up too soon on this one.
67:51 got it. Lovely puzzle
67:11 for me. Futzed around for a while before I saw the break-in. :-D
This was nice, but I happened to see a comment referring to SET and I doubt I would have solved it without that. I did at least find the sets myself though.
Clever puzzle with a very nice break-in. 7 minutes to explain some simple set theory should take 1-2 minutes.
That's it guys
i do like a set puzzle, but i find the scrabble bags confuse
The early C9 5 logic was really clever for me.
Didn’t see use the Set theory, but I can confirm that this can be solved logically anyway…it just took a lot more steps!
@@billevans7488 For me, that would be a large undertaking :)
my solve was completely different than simons. First i started with the 10 cage. then asked where the 4 goes in the top left "fish" region., it can only be in 2 squares (not on the arrow since 1 isnt available). then where does 3 go in col 2? it has to be on the arrow. We'll keep that in our heads for later.
now the big insight that changed my solve, is if you highlight the 3 long (3 cells) arrows, they dont look great together, but using the left and right green cells, we know that they are somewhere on the arrows, but not in the middle row. this means that 6 of the arrow cells essentially in row 5, so they add to at least 21. throw in the other 3 cells on the arrows and you get at least a 1+1+2 (they're all in rows 4 or 6, so at least 2 are different). this means that the 3 long arrows add to at least 25 which is at least a 9+9+7.
put that together with the fact the col 2 arrow has a 3 but no 4, it has to be a 9 and be a 135. this gives us the left green cell as a 5.
Next we ask where 4 and 5 go in the bottom left "fish" region. they can't be in col 2 (they're above), and they can't both be in the 12 cage (it would need a 3) so one of them is in r8c3. which at first doesn't look too useful, but it stops the arrow in row 8 from being a 4+5=9, so without the 2,3 in the row, it would break the total of the arrow if we exclude the 1. so there's a 1 on the arrow, stopping there from being one in the bottom cell of the center 3 cell arrow. the left square also isn't a 1, since it's on the left 3 cell arrow, and it can't be in the right cell since it would force r5c2 to be a 3, the arrow in col 8 to be 234=9, but the right green cell to not be any of those values.
since none of the center arrow can be a 1, none of them can be a 6+ (since 6+2+2 =10) , but we need a 6+ in row 5 ( there are 6 cells that have to be different on the arrows/green squares), the right arrow has to be a 126= 9 and now we're cooking with gas.
we can ask where 9 and 4 goes in row 5. has to go in col 5, and on the arrow forcing it to be a 2+2+4=8 arrow with the 2s not going on the right.
we can ask where 126 from the right arrow goes in the top right region, and forcing the cage to be a 167, a 2 in r2c7. this gives us a few triples in col 8. all of these numbers let us make quick progress to the end of the puzzle.
i didn't get the 789s that simon started with until i was done most of the clues and finishing up the puzzle.
@@billevans7488 I think you missed the center 3 cell arrow. the 6 cells that are the different are not the 6 in c2 and c8, they are the 4 arrow cells in row 5 (r5c2468) plus 2 more arrow cells in either r4c2, r6c2, r4c8 and r6c8 (we just don't know which 2 of those 4). as it's hard to see, i'll try and explain it better.
as simon explained at 8:43, r5c1 has to appear in the left Eiffel tower. it's not in the same row or col as r5c1, so it has to be in either r4c2 or r6c2, both of which are on the c2 arrow. lets use simon's coloring scheme and color r5c1 orange and r4c2 and r6c2 as orange with a flash to remember them. similarly, r5c9 has to be in either r4c8 or r6c8, both are on the c8 arrow. we will color these blue and blues with flashes.
any 6 cells in the same row have to be different (by sudoku). in particular r5c124689 are all different. 4 of those are arrow cells, and the other 2 are our orange and blue cells, which are themselves arrow cells (we just don't know their exact location). we might not know which 6 cells they are (but we know pretty close) but we know that those 6 cells add to at least 21 (1+2+3+4+5+6) as a minimum.
@@billevans7488 true, 9+8+8 is also an option, as is 9+9+8 and 9+9+9 (since 25 was the minimum we could put in the arrows, not the exact value). 9+9+7 is trying to find what the minimum digit you can put in the 3 circles. in this case, if you try to put a 6 or lower in there you can't make it to 25, since 9+9+6 is only 24. until you know that the minimum digit is a 7, 6=123 also satisfies "contains a 3 but no 4", and can't make progress, but knowing 7 is the minimum digit in those circles lets you cross off 1-6. it can't be 7 since it needs to contain a 4. it can't be 8 since it either needs both 3 and 4 or neither of them. that means it's a 9.
Yeah I did this too. Took me a while. Replying to some of the comments: the options for the arrows are 997, 988, and 989. Interesting that 999 isn't an option because there would be nowhere left to place the 9 in row 5. Also, that 4,5 and 6 have to appear on the arrows, and none of them can be on the same arrow. So one arrow has a 4 on it, one has a 5, and one has a 6. (So 126 is one of the arrows.)
But the set theory was gorgeous. Never saw it coming, but I still had a lot of fun with this awesome puzzle.
@@billevans7488 if r5c6 is a 1, it forces the right arrow to be a 234=9 arrow. by earlier logic, we said that r5c9 is one of the 2 cells on the c8 arrow, so it has to be a 2, 3 or 4. from the givens, it can only be a 3. but now you have a 1 (in r5c6) a 3 (in r5c9) and a 5 (in r5c1) all looking at r5c2 which can no longer be filled (since it's on a 135 arrow) .
it's a little bit of looking ahead for that one. i knew that if it wasn't 1 that i could really limit the center arrow so i took a peek at what would happen, and it broke. so we know it's not a 1.
35:45 for me. Beautiful puzzle!
I pencil mark all the possible numbers and that led instantly to knowing r5c1 couldn't be a 4 either (so just 256). Since the top arrow can't be a 4 because it would need a 1. Then the left arrow 6789 couldn't have a 7 either.
Please, make a card pointing to exclusive educational videos about set theory and phistomofel ring, it's easier for beginners to understand and the ones that already know, don't have to watch the explanation many times, over and over again.
Solved it with help from the video.
I found the same break-in, but my solve path was quite a fair bit different from Simon's.
3 in the corner has reached memehood!
I noticed that you get a reward for putting a 3 in a corner whether it's correct or not. So you can have four 3's in four corners!
I mean, your solution will be wrong, but you still get the celebration, so who cares?
And here was i proud of my 4 can only go in c2r1/r3, balancing the digits that can go in the tops of the towers... that went nowhere
I waited for nearly an hour
For whirlpools, and maybe a shower.
I wore my swim pants
And yet now I'm in France
With four copies of the Eiffel Tower!
Okay, I lied. Otters don't wear pants.
I wonder would it be possible now that you're using chapters to put bookmarks at the start/end of any proofs used during the solve (set theory, phistomofel ring, etc). Or would that be too spoilery for the solution path if people could see the "set theory" proof in the chapters at the start? It would be nice to be able to skip ahead more easily but still keep the proof in as usual for new solvers.
That would actually be helpful, knowing what TYPE of breakin to use without seeing the details.
This solved really nice after that "789" thing.
Simon mentioned not appreciating something here (before @25:59).
It was the 4s being in that domino in col2 in that region up top-left,
And the 3 having to be on that arrow (that he saw).
[And with that 6 placed in that region ]
That leaves a 4789 quadruple down col2 (with 135 on the arrow - the "6" taking the 123 combo out).
So, with that 4789 quad and the 135, that leaves a 2,6 pair in the box7 region (that "2,6" out of that cage fixes it).
Many things happened along the way (I forget).
That "789" thing was cool, though.
[Seeing those 4s, and that 3 on the arrow, along with that "6" , was needed to be seen/appreciated though]
Simon, you need to do Sudoku sometimes (like those 4s being vertical in the domino here - making that 4789 quad) though.
Sudoku is the end-all be-all, and should not be ignored.
Good job, though.
[Still took me 50 or 60 minutes from here -- yeah, I'm slow and careful lol ]
Good job 👍😂😎☕️☕️
Those "4s" in that vertical domino here (@26:01) was available since *the beginning* in other words.
[[EDIT: after that "235" cage - that "beginning"]]
That was not appreciated.
Cheers
[Oh, don't ignore sudoku]
Cheers, again. 👍😂☕️☕️[
So now the question is: Could the puzzle be modified by different starting digits to achieve a 3 in the corner?
For the challenge, I solved it without using SET theory. You can break in using C2, then R8, then reduce the options on the arrow at R8C6 to get your first digit.
@@billevans7488 I posted a puzzle called "Sink Your Teeth" to Logic Masters Germany which requires the same non-SET theory solve path.
Good night from Norway
Gn from Denmark:)
The hardest puzzle I've ever been able to actually solve! 54:26 for me.
So weird, I started to prove that c1r5 and c9r5 are a 5/6 pair, and did not even needed the set theory, but took me twice longer of course.
Took me 176:00, and the idea from Simon to use some (multi-)set theory here (i.e. coloring the rockets at 12:59).
I used sets to show that the eight cells orthoganally adjacent to a corner cell have the same digits as the eight cells that are diagonally adjecent to a cell in the centre of an edge.
I felt very pleased with myself, but it didnt help me solve the puzzle!
31:18 as soon as he locks 8 in there, it means his "A" has to be 8, as where else could it go in the top "rocket" region?
I love having tea with Simon.
40:50 Classic Simon :D just put in 5, cursor on pencilmarked cell. Total ignore.
Scanning is already rough for Simon. Irregular sudoku just breaks him. But still, the logic and the break ins are amazing.
You will not believe how many times I made mistakes because I forgot the green digits weren't part of the other cages
My birthday wasn't mentioned 😢
Hardwell - three triangles (losing my religion)
🤯🤯🤯
45mis in we discover there's no three in the corner.
[Close the video in protest]
Does anybody also have issues with the puzzle not saving it process after you close the app?
I rarely solve a puzzle at once, usually the way I did the tougher ones was to spend some time on it and come back when I’m stuck. But recently it happened to me a few times that when I open it again (via RUclips app) I see a blank grid and all the process is gone. It happened to me twice today with this puzzle and both times I had good progress made and at this point I’m just gonna give up - I don’t want it to happen again and I might not have time to solve the entire thing at once. Very disappointing because I really wanted to give it a shot 😢
Love how you take a simple concept and then use the most confusing long-winded way of trying to describe it with Scrabble tiles.
ummm.....you forgot the corners were double counted. lol
@45:08 "and that's going to be important for the following reason..."
Me: It's r4c5?
@45:16 "Here's a different question. Where's 3 in the top row?"
Me: It's not sudoku. Why would you do sudoku in a sudoku puzzle?
Spoiler break!
Anyone here wants Simon or Mark to prove that an 8 digit anti knight puzzle is possible?