X-Sums killer sudoku #2
(Published on 10. October 2022, 21:08 by udukos)
Normal sudoku rules apply.
An area surrounded by a dashed line is called a cage. Digits may not repeat within a cage. The numbers outside the grid are X-Sums clues. They indicate the sum of the first X cells in the row/column from that direction, where X is the first number in that row/column.
A double-digit X-Sums clue inside of a cage prevents both of its digits from appearing anywhere else in the cage (this does mean 11, 22, 33, and 44 are disallowed as X-Sums clues, as those would repeat digits in a cage). A double-digit X-Sums clue may include zero (10, 20, 30, and 40 are valid X-Sums clues).
Links to the puzzle for solving online: Penpa plus or CTC
Have fun! :)
Solution code: Row 5 Column 5
Comments
on 5. October 2023, 19:57 by Bankey
What an absolutely gorgeous puzzle. 5* seem to be too less for it. What looked impossible for the first one hour of staring on two previous abandoned attempts, started to slowly look a wee bit possible on the third, and yet it kept resisting until you reach the next aha moment. Pure joy. Thanks, @ udukos:). It is a miracle that this can even exist.
on 7. August 2023, 00:14 by Agent
Fantastic puzzle! A rare case where every single clue seems perfect.
on 30. November 2022, 14:53 by OGRussHood
Another mad puzzle that tickles my fancy.
on 31. October 2022, 14:59 by cdwg2000
Very nice!
on 24. October 2022, 15:04 by Piatato
Amazing puzzle, just incredibly well crafted. Thanks!
on 18. October 2022, 20:42 by purpl
What can I say that hasn't already been said? Absolutely spectacular puzzle!
on 18. October 2022, 17:35 by KNT
How the hell...
Instantly added to the favorites list. Wow wow wow. A miraculous construction with one of the most amazing solving paths I've experienced in a while. Thank you so much udukos, and I'm so glad I could inspire you to make this.
on 15. October 2022, 10:29 by Fool on Hill
Wonderful puzzle - clean logic and some really nice deductions.
Note in case it helps anyone: Xenonetix in "A Mathematical Phenomenon" introduced me to a pencil-marking scheme for outside double digit numbers on the CtC app, which I found very useful here - corner marks for 10s digits and centre marks for units.
on 14. October 2022, 09:51 by peacherwu2
Why would something like this could exist?
on 13. October 2022, 07:00 by udukos
Thanks a lot for all the wonderful comments! :)
on 11. October 2022, 21:08 by marcmees
INcredible construction. lots of math till at one point it became smooth sailing. thanks.
on 11. October 2022, 16:30 by bansalsaab
Wow. What a construction. Nice logical flow.
on 11. October 2022, 10:09 by Phistomefel
I find it incredible that such a puzzle without cage totals even exists, let alone the beautiful solving path. Thanks a lot for this treat, udukos!
on 11. October 2022, 08:36 by polar
Loved it! Thank you :)
on 11. October 2022, 02:35 by ONeill
Such an incredible puzzle! It's quite unbelievable that no cage totals are given and it solves so smoothly. Great job :)
on 11. October 2022, 00:17 by Vebby
Absolutely incredible! Brimming with brilliant deductions. Thanks for this treat, udukos! :D
on 10. October 2022, 23:55 by MagnusJosefsson
Brilliant, just like your original puzzle! This one is very cohesive and consistent with a lot of great deductions all the way through. Very impressive!
on 10. October 2022, 22:44 by Jesper
Great puzzle, very challenging!
