Frak
(Published on 20. February 2022, 21:09 by zetamath)
This puzzle was created in honor of my good friend rangsk, on the occasion of him reaching 1000 subscribers on his sudoku themed YouTube channel. Congratulations my friend!
Standard chaos construction rules apply. That is to say, place the digits 1-9 in every row and column. Additionally, divide the grid into 9 orthogonally connected regions which each contain the digits 1-9 once each.
Blue lines are region sum lines. For each line, digits on the line have an equal sum N within each region it passes through. If a line passes through the same region more than once, each individual segment of such a line within that region sums to N separately. Every line must enter at least two regions.
A digit in a circle indicates the number of digits on that particular segment of the line within that region. Not all circles are necessarily given.
Have fun, leave a comment if you enjoy the puzzle!
Solution code: The contents of the region sum line that begins at r3c3, starting in that cell.
Comments
on 2. March 2022, 18:45 by OGRussHood
Solved it in 49 minutes. Another world class puzzle. See you at the livestream!
on 28. February 2022, 08:29 by laregioncentrale
Fantastic! Very terrifying too, after about halfway through I thought there was no way the puzzle could possibly finish. So proud and so glad to have eked out a solution.
on 27. February 2022, 12:11 by hepcecob
I'm actually surprised people are saying this puzzle is THAT hard. Very nice puzzle, with very nice logic.
on 26. February 2022, 20:37 by Jesper
Excellent!
on 26. February 2022, 20:30 by steelwool
Gorgeous design, but I would say once I understood the way the break-in was going to work it was fairly OK. Extremely enjoyable.
on 22. February 2022, 11:37 by henrypijames
The break-in was brutal, the rest beautiful.
Another great candidate for a feature film by Simon.
on 22. February 2022, 09:26 by kmoter
very nice, thanks
on 21. February 2022, 21:35 by zetamath
I had accidentally posted an image of an old iteration of the puzzle (but the link has always been correct). I updated the image so that it matches the intended puzzle!
on 21. February 2022, 11:27 by MagnusJosefsson
Amazing puzzle with some really nice and unusual logic. Even though it was quite difficult I enjoyed every minute of it!
on 21. February 2022, 00:10 by Myxo
Brilliant puzzle!
on 20. February 2022, 21:42 by Qodec
Brilliant, instant classic!
on 20. February 2022, 21:19 by Playmaker6174
The solving progress of this one was truly a gladiator fight with consistent challenges all over the place, but every deduction was just top-notch quality and I felt relieved after finishing the puzzle. A masterwork as expected from zetamath! ;)
on 20. February 2022, 21:17 by Vebby
Exceptionally good! Beautiful logic from start to finish. Thanks zetamath! :)
Link to solve on Penpa+ with answer check (numbers + green edges): https://tinyurl.com/yalsu29z
