What is an Entropic Line? We Explain ...
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- čas přidán 31. 05. 2024
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Normal sudoku rules apply. Digits on a purple Renban Line are a set of consecutive digits in some order. Every set of three adjacent digits along a peach Entropic Line contains one low digit (123), one middle digit (456), and one high digit (789).
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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. We're also "cryptic crossword" aficionados. Mark is the twelve-time winner of The Times crossword championship and twice Senior World Champion in Sudoku, and Simon is the former record holder for most consecutive correct solutions to The Listener crossword. We hope we can help your puzzle solving while also introducing you to some of the world's best puzzles.
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▶ Contents ◀
0:00 Theme Music & News around the channel
1:48 Rules of today’s puzzle
3:15 Start Of Solve - Let's Get Cracking! - Zábava
The simple answer to "Simon's theory of beautifully constructed symmetric sudokus" at the end of the video is that a great number of highly symmetric sudoku are based on 10s-complement (X / 10-X) symmetry. This puzzle for example, for each cell in the puzzle, you can add it together with the 180-degree rotational counterpart and get 10. c3r2 (2) plus c7r8 (8) equals 10. In any puzzle where the entire grid is 10s-complement symmetric, the central cell must always be a 5. Because it is rotationally symmetric with itself, and thus has to be added to itself to equal 10. 2X=10, X=5.
If the central cell is anything other than 5, then some other cell will be missing a "partner" and the symmetry is broken. You can absolutely make highly symmetric puzzles based on other mappings besides 10s-complement, but given the range of valid sudoku digits and maths behind many of the basic constraints, it's easy to see why it's a popular choice for setters.
What a delightful surprise and beautiful solve! Thank you so much for the feature and for the kind words. "Glyph" is one of FullDeck's favorite words to play in Scrabble. :)
Glyph is a nice word in general, it sounds so much better than symbol or scribble or image.. I saw the glyphs on the wall sounds better than I saw an image on the wall...
However of all words that pertains to images or symbols, the Swedish word Hällristning is just a word that have a lovely sound to it. It is the Swedish word for Petroglyph. Although literally a word meaning Stone Carving.
Oh and the puzzle was quite lovely, an enjoyable amount of scanning, not too hard, and rather good looking. Have a lovely evening to you both.
I can't wait to try this puzzle. Thanks for sharing it with the world (and for all you do for Sudoku and CtC in general!).
I have loved this puzzle! 52:24, not fast, but I've enjoyed every turn, congrats!!!
@@josugp thank you so much for the kind words! So glad you enjoyed it!
Fabulous puzzle!
Just over 50 minutes, but I’m fairly new to actually solving these variants. It does seem like a moderately approachable one. Each step kind of flows from one bit to the next, after the daunting “where on earth do I look” sections.
I did far too much coloring to visualize the highs, middles, and lows-none of it helped until I had some firm digits. The thing I noticed that could have helped Mark earlier: we know the columns in Boxes 4 and 6 where 1 and 9 can be due to sudoku, and this greatly simplifies the box 3 and 7 renbans. Of course, it took me longer than the video to work out some of the renban logic, but that’s a lot of the joy of these videos for folks like me who solve slower than our hosts: we get to yell at the screen because we saw something a better solver missed.
Got in 15 minutes!
The logic in puzzle looks to be much more beautiful the the Mark’s approach. Searching for extreme digits in 3&7 boxes makes very beautiful things, and all the point revealed by Mark at the beginning are becoming much more obvious and easily reached.
17:53 that was really really cool, i love how it came together
Super fun! I solved in 36 minutes, by far the fastest I’ve ever solved a puzzle from this channel.
I think the reason why 5 often appears in the middle of rotationally-symmetric puzzles is because it's the only cell that doesn't have a partner and 5 is the only digit that pairs with itself to form 10. All the others have a partner.
13:04 I really liked the way the two line sets interacted to create a few pieces of interesting logic.
I confess that, despite the video length, and having time this evening, I chose to watch you solve this delightful puzzle, Mark, rather than doing it myself first. It puts me in mind of the Lines Sudoku app and also the current Interactions set by Riffclown (the February Patreon reward) that I am working through with much pleasure. Thanks for this video and for the streams and for all you do to bring so much from CtC to us every single day!
00:14:52 for me. Not only a fun solve, but a great looking puzzle as well! Kind Comment.
16:42 for me, this was a fun one! The entropic lines and the renban lines worked together really well to make some cool and interesting logic!
This was quite approachable. I'm by no means any advanced solver and I managed to solve in 41 minutes. I'm glad I gave it a try. It was quite enjoyable.
12:51 - absolutely loved it!
18:36 for me. I've taken some time off from puzzles, but will start doing them more regularly.
Rules: 01:52
Let's Get Cracking: 03:18
Mark's time: 21m02s
Puzzle Solved: 24:20
What about this video's Top Tier Simarkisms?!
Three In the Corner: 2x (11:41)
And how about this video's Simarkisms?!
Ah: 6x (06:27, 08:33, 09:00, 10:00, 17:27, 21:58)
Sorry: 5x (02:07, 08:03, 11:30, 16:01, 18:24)
Symmetry: 5x (02:59, 03:05, 04:21, 07:13, 23:54)
By Sudoku: 3x (23:22, 23:30, 23:36)
Obviously: 2x (05:45, 06:31)
Pencil Mark/mark: 2x (15:36, 18:52)
Clever: 1x (16:13)
Lovely: 1x (24:51)
Beautiful: 1x (07:13)
Brilliant: 1x (00:44)
Come on Mark: 1x (03:57)
In Fact: 1x (03:02)
Intriguing: 1x (03:05)
Wow: 1x (09:25)
Nature: 1x (24:00)
Most popular number(>9), digit and colour this video:
Sixty Eight, Seventy Eight, Ninety Eight (2 mentions)
One (68 mentions)
Purple (2 mentions)
Antithesis Battles:
Low (30) - High (22)
Even (2) - Odd (1)
Row (6) - Column (3)
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!
This puzzle is completely symmetrical, so when you enter a digit, you can logically deduce the digit on the other side of the grid. Also, by uniqueness, you can know that the center is a 5.
I spotted that but was too dumb to work out the logic to figure out the first fixed digit so I could copy its antithesis. Purists would probably consider it cheating anyway.
A fun puzzle showing off a lot of the fun logic tricks you can do by mixing these two constraints. My time today was 10:30, solver number 727.
Lovely. 13:30 for me. Great path through as usual. Love watching Full Deck and Missing when they do guest solves on Bremsters channel.
some really interesting logic here
also amazing how mark just zips through it
I agree - Mark was astounding! I hope I managed to learn something from it about doing entropic line puzzles!
I actually beat Mark on one. I ended up finding a slightly different way to fully exploit boxes 1 and 9 that really helped open things up. This is one of the rare puzzles I think I want to do again
Beautiful and quite relaxing puzzle.
This was a wonderfully fun puzzle, solved it in 10:48 (conflict checker off), great flow all the way through! Major props to FullDeck and Missing a Few Cards for it!
Thank you so much for your kind words!
Finished in 11:31. Not sure if it's completely approachable if you haven't dealt with entropic or renban lines before, but pretty straightforward, if you're familiar with those rules.
Fun puzzle!
Since mark solved this w the givens, would love to see if Simon
Would attempt this without them....and once finished mark can give him a given.
-----
Wow without the givens that is one powerful antisymmetric rotational-symmetric design completely letter/colour solvable design...
Only need one given to resolve the digitmapping.
Very impressed by setters for this design.
The key is what R2/8 implies to B3/R2 and B7/R8....it reduces what might seem like many branches to 1(or 2). And the remaining is just sudokuing...
But if u can prove the rotational symmetry u can cheat to finish the solve. Granted u can also break the 9x9 into 2 cookie halves.and fit it back together.
What a nice - not too hard - puzzle. Great fun to solve with a good combination of these 2 line types. Ideal with a coffee as a "logic breakfast"
Nice! 28:04 for me. Had no ideas for first 10-12 minutes. Then realized "159" on entropic lines in boxes 1 and 9. The rest was straight forward and simmetrical.
32:23 I have struggled trying to notice the pattern for 15 minutes, but after that, everything fell into place
After a false start I came back fresh and did it in under 12:00. Quite delightful!
34:37@#6512. It was tough getting it started, but after getting a few digits in the rest fell into place fairly smoothly. It helps a lot to color _all_ of the known entropic entries on the grid, so you can see at a glance where the remaining ones have to go.
I was very slow in solving (42:20), but it was a great puzzle, so I'll claim that I was savoring.
6:16 kinda caught early the rotation. And the high mid low worked nicely in resolving the regions.
Finished in 17:45 - not bad for an entropic!
This one was nice and relatively easy to solve
22:00 for me. Nice puzzle!
Excellent fun puzzle of quality from these two top setters
Thank you so much for your kind words!
Lovely puzzle.
17:13, surprised by that time as I made a mistake at the end and had to undo some work. I was surprised how much logic I still had to do at the end, it didn't just fall apart at the end.
This was a fun one and pretty smooth for me, thanks. Mark's solve seemed more complicated than mine but needless to say he was still quicker.
10:59 finish. I colored by entropy, which helped me to see things a bit, but may have slowed me down. A very nice little puzzle!
Beautiful!
19:21 for me. What I find ASTONOSHING, is that the symmetry of lines puts the 81 digits in the grid into 40 pairs of digits (with the 5 in the middle), wherethe digits in the pair are 180 degrees symmetrical to each other, and each pair adds to 10. Crazy how logic forms sometimes. I wanted to use that logic halfway through the puzzle but I couldn’t be certain it held for every single 180 degree paid
Needed your help to start, in box 1, amazing logic. After that I tried and did it 😊
Thanks for another solve!
8:35 for me. Nice puzzle!!
Really rather simple puzzle. 15:24 for me to solve.
This worked out nice..
This was a nice puzzle. I ended up picking three different colours for low, mid and high and started furiously colouring everything. It worked brilliantly to solve the puzzle but it did take a long time to fiddle around with all those damn colours. :D
There must be keyboard shortcuts. One day, I'll figure them out. 🙂I don't stand a chance of solving or scanning as fast as either Mark or Simon.
It'd be nice to at least type as fast.
@@Mephistahpheles there are keyboard shortcuts and I use them very often! Shift + number is corner pencil mark, Ctrl + number is centre pencil mark, Shift + Ctrl + number is colour... But the way the numbers are mapped to colours is just not logical to me. These shift and control modifiers also work with delete so Shift + Delete removes all corner marks no matter what input mode you're in, a very useful keyboard shortcut.
Glyphord the big red Sudoku
😆
😆
11:56 for me. Blazed through it but I had a good time.
40s slower than Mark. That one really suited me.
3:06 Intriguing
14:43
maybe this is the first time i get it quick enough to be satisfied
I got 27 minutes. This was very nice logic and solve.
Took me 16 minutes, after the intial 159/678/234 I looked at 8 & 9 in box 3. Noticed that none of 789 is in column 7 row 123 (9 in box 3 column 9, 678 in column 7 box 9). This placed 89 in box 3 (and by extension once I noticed it 12 in box 7). Suprised Mark had that 9 pencil marked in r1c7 for so long.
6:21 for me.
What fun!
Nice puzzle. Took it a bit slow plus had to backtrack due to a mistake. 28:29 for me.
i think this puzzle was the perfect level of difficulty for me
I got it in 11:45 and got another one faster than Mark
Only a few thousand more, and I'll have caught up!
Did it in 22:27
I think there is an more elegant path, once you have found the 159 in box 9. I think you are then supposed to ask: what is the middle digit on the entropic line in box 6? it must be 4, given that the renban has a 5. what is the high digit? it must be 7. then the renban becomes 56 and all things are revealed...
Please can Sven fix the bug that causes my solve to reset to Start instead of Resume when I interrupt play to see Mark/Simon’s solution.
There are several good direct ways to connect with Sven that are probably better than leaving a comment on a CtC video. When you have the browser version open, or in Sven's Sudokupad version, I believe, you can click on the three little lines in the upper left corner of the screen and you will be presented with a menu of options, some of which have to do with troubleshooting or getting in touch with Sven. Try that - and I agree, it would be very annoying to have the puzzle reset to start!
Thank you Emily. Have emailed Sven as you suggest.
The easier question at the 9:00 mark is where does 9 go in column 9.
20:17 for me.
broke it at 19:42 and finish at 32:41,my bad
nice puzzle
Can someone tell me if something changed about the dimensions of the Sven's program? The grid appears too large for me now, the keypad looks too small. Is it a matter of configuration? If it is, how can I change it back?
On what platform?
There seems to be an option for large text, but it doesn't do anything on my phone, so I don't know what it does.
You could try to contact Sven directly, or I think his webpage gives recent changes. You can find out a lot of info about Sven's software by clicking on the three little lines in the upper left of your screen when you have the application open (or the web page).
Got it.
I think you missed basic renban line logic right at the start. The 6 digit lines in boxes 2 and 8 both had to have a 4 and a 6 on them. In both cases one of these numbers was placed in boxes 3 and 7 due to the given digits. This immediately gave you a part of the entropy on the long lines. If I hadn't made a stupid error later I would have halved your time which would have been unbelievable.
8:50 for me. not a great time. could be done faster.
14m 17s
20:39 for me @#2073
If he saw 4/5 pair in column 1 and 5/6 in column 9 it was easyer😅
27 minutes
Got it without the video!