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- čas přidán 9. 06. 2024
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Normal sudoku rules apply. Box borders divide blue lines into segments with equal sums. Digits on a gold line do not repeat and are not consecutive with any other digits on the line.
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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
2:00 Rules of today’s puzzle
2:48 Start Of Solve - Let's Get Cracking! - Zábava
It's always a treat to see one of my puzzles featured on the channel! Please allow me to reassure you that your brain is not porridge! Nabner logic is quite unusual and this puzzle forces you to become very familiar with it. I had to play around with Nabner lines for a long time before I felt I had learned enough to design this puzzle. And even if you felt like you were slowly "boing"-"boing"-ing your way through the puzzle, you did find all the major intended deductions! When we consider the extreme sums on a region sum line, we typically place all consecutive extreme digits on it - but in this puzzle that often would leave only the other extreme digits (which are also all consecutive) for a nearby Nabner line, breaking the Nabner rule. So this puzzle was all about finding the most extreme sums for region sum lines that still leave valid digits behind for the Nabner lines. You correctly noted that once certain digits were taken away, the remaining digits in a box could form consecutive pairs, and some Nabner lines could only take one digit from each remaining pair of consecutive digits. Taking the 7s off lines at 25:50 and 30:55 were key moments, as was the logic at 32:29 to place the 2 on the Nabner line, which is probably the hardest deduction in the puzzle. I was also very pleased that you found the logic at 41:49 using the 2-cell Nabner line. That was absolutely an intentional step in the solve path, even though that 2-cell Nabner line isn't strictly necessary for a unique solution. But it was such a nice way to resolve the sum of the long region sum line that I left it in hoping some people would find it.
Even the design of this puzzle was exceptionally hard to complete (you may have noticed the plethora of unresolved pairs and triples near the end)! I believe the Nabner line in box 5 is the ONLY possible orthogonal Nabner line of length 4 or less that can be placed entirely in box 5 that results in a unique solution to the puzzle and I nearly had to scrap the ending of this puzzle before I found it. Since neither region sum lines nor Nabner lines enforce any sort of restriction on the permutation of the digits on them within a box, I had to force the final placement of each digit through geometry alone - hence the need for such a densely clued grid! Only 11 cells in the entire grid are not on a line, and 5 of those are in the middle box which isn't useful until the very end of the puzzle!
Thank you again for the wonderful showcase, Mark. I always feel a bit of imposter syndrome whenever one of my puzzles pops up on the channel. I look up to many of the setters featured here and I sometimes wonder how anyone could possibly make such beautiful and intricate designs. But I continue to iterate and polish every puzzle that I publish and push myself as a setter to try ideas that previously terrified me, and moments like this make me think that just maybe I am doing something right. 🥲 Hope you have a good one!
This was a great puzzle, and although I don't consider myself an amazing solver I was able to work through the logic and solve in just over an hour. I LOVED the aspect of working all the way around the grid, and the necessity of doing that helped encourage me to keep deducing :)
If you're an imposter, then keep imposting! This was fantastic and a pleasure.
Fascinating puzzle and fascinating comment.
It was fun to _"boing-boing my way through"_ this beautiful beast.
I will read your comment again because it provides a lot of food for thought.
Thank you for constructing this challenging beauty and for sharing your deep insight about nabners and setting with nabners.
Thanks for a wonderful and amazing puzzle! A nice hour and a half jog around the board with you holding my hand the whole way. I used to feel that 4 cell or less nabner lines were almost useless, but you showcase them brilliantly here! It forced me to see the nice logic that losing one of the extreme digits suddenly make them more powerful, and even then, having them force a reduction on sum lines due to having to parry off digits into groupings, i.e. one from each group for the two lines, sum and nabner...another sublime piece of logic. I love it!
Allagem is such a genius of a setter. It feels like their puzzles get neglected sometimes but they’re always phenomenal, really great to see them get more recognition.
I definitely didn't get on as quickly as Mark or some others in the comments section, but I feel very accomplished having finished such a difficult and beautiful puzzle! I've seen a number of puzzles like this over the years that work their way around the grid, but I think this is my first solving such a one. Thanks for featuring!
44:17
Some really clever bits in this one. The nabners always seem to leave so many possibilities, yet also are so restrictive.
It helps to note then when you get a nabner where you're limited to one from each remaining available pair (e.g. 1-2, 3-4, 5-6, 7-8, on a 4-cell nabner with 9 accounted for elsewhere) that placing any even means all higher pairs are even, and placing any odd means all lower pairs are odd. This can make it quicker to sift through some possibilities and start ruling out (or in) some digits.
that was an ordeal. Not complicated but I had to use extreme pencilmarking and a cheat sheet as well. Nicely done by Mark.
Tough but fair, this one resisted until quite a long way in. Lots of tricky but interesting deductions to be made.
I finished in 71 minutes. I started off real strong on this puzzle, finding the break-in and expanding out to reveal more clues. Unfortunately, I made a slight error when doing the nabner in box 9 and disregarded 6 as a possibility. I had to skim the video to see where I went wrong and was disappointed in myself that I missed that. I should really slow down and double check. Otherwise, this was an incredibly fun puzzle to solve. Great Puzzle!
Finished in 35:50. Fairly straightforward nabner and same sum line puzzle.
Fun puzzle!
Clever puzzle, the interactions between the two types of lines, and finding the constrained ones, was challenging and satisfying
Feel pleased with finishing in 56:41. Anytime I'm close to Mark's speedy solves is an achievement.
Overall the way the Nabner lines and region sum lines interacted was interesting, unique, and not immediately obvious. It took careful thinking to solve and even then I made a couple minor mistakes that were immediately recognized.
Phenomenal puzzle. Love the interactions between these types of lines
Very hard puzzle for me took me over an hour but i absolutely loved how the puzzle solved from box to box around the grid, very fun.
Mark was in genius mode on this solve. Really impressive stuff.
I did it till the middle, until I got stuck, then I watched your solve and was able to finished. Thanks! 🎉
23:43 for me. Very nice puzzle!!
Wonderful and very enjoyable puzzle.
Took me simply AGES! But what a puzzle! 😁😁
I thoroughly enjoyed this puzzle
Oof, I kept second-guessing myself on this one, but fortunately my decisions were ultimately correct! Completed in 38:02 (conflict checker off), many thanks to Allagem for an amazing puzzle!
*Nabners* are interesting and this puzzle does _"glorious, glorious stuff"_ with them 😏👍👍👍👍👍
I am not very familiar with them, and I am looking forward to learning more about them by solving some more nabner-based variants.
Today I learned two generalizations about nabner lines:
🔹 For any nabner line that joins *N* cells, if only *2N* consecutive candidates are available, the line must contain 1 digit from each _"consecutive pair."_ For instance, if *N=3* and the available candidates are *1-6,* the _"consecutive pairs"_ are *1-2, 3-4,* and *5-6.*
🔹 More obviously, if only *2N-1* consecutive candidates are available and they are from *a* to *b,* the line must contain
*a, a+2, a+4, ..., b*
30 minutes for me. I think some of my favourite deductions came near the end, if only because I wasn't sure how it could wrap up elegantly, and yet it did.
I did not smell, see, nor taste any porridge at all! Thanks for this solve and video, Mark, I thought your path and reasoning (and grasp of the counter-intuitive nabner logic) was genius.
Really delightful. 66:15.
31:37 today. I really liked this one.
46:52 for me.
Mark, terrific job as always.
Normally one feels good having got through the logical path to the solution but this puzzle frustrated me quite a bit and made me wonder if it was time well spent. I did realize the setter was super intelligent to have come up with it.
i gave up solving for myself at the 25:00 mark, i’m not built for this much math
Phew. That was a struggle. 1:15:11 for me.
There is a saying that Genius is 1% inspiration, and 99% perspiration. That feels about right with this puzzle.
Mark, your brain is super groovy. Don't let anyone convince you otherwise.
Took me a while, but I made it :D Really liked it! 02:03:35
39:21 for me.
35:31 for me
Why Mark didn't study the blue line in boxes 1 and 4 first? Clearly 12345 and 12347 doesn't work...
64 Minutes. Hard one for me
Most useless line: 9 cell renban line completely in one box.
01:27:08
80 minutes.
This was a bit of a slogger.
Starting in box1 working down line by line.
At the start every digit was hard fought.