X-sums Killer Sudoku
(Published on 4. October 2020, 04:28 by udukos)
Normal sudoku rules apply. An area surrounded by a dashed line is called a cage. Digits may not repeat within a cage. Some cages have a number in the upper left corner which indicates the sum of the numbers within the cage.
The numbers outside the grid in grey cells are X-Sum 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.
If there is a grey cell within a cage, it can contain a one or two-digit number which may include zero (10, 20, 30 and 40 are valid numbers for these cells). However, since digits can't be repeated within a cage, numbers like 11, 22, 33 and 44 for grey cells are not allowed.
Penpa link
Good luck. Have fun.
Solution code: Column 4 Column 5
Comments
on 21. December 2022, 17:19 by h5663454
*I've burned out...into white ashes...*
Yes... There is no doubt that this is another very scary puzzle. It literally eats up my whole day...
on 19. September 2022, 21:54 by ONeill
Difficult but amazing. Thank you!
on 12. September 2022, 04:48 by KNT
That was... extremely hard. I have absolutely no idea if I found your logical or intended path, I was case checking everything many times over because I was so unsure of all my deductions. I seriously felt like I made it through this one by the skin of my teeth
Brutal in the best possible way. Love
on 25. September 2021, 00:06 by Vebby
Awesome puzzle! Great construction. Love this rule-set, it facilitates such fun logic. Thanks udukos! :)
on 15. June 2021, 17:51 by Mody
Was für eine Konstruktion!
Brillante Logik, aber für mich sehr schwer.
What a construction!
Brilliant logic, but very difficult for me.
-- Thanks a lot, Mody! :)
on 14. June 2021, 15:21 by Mody
Thanks
on 14. June 2021, 14:30 by Mody
Wenn sich Ziffern in Käfigen nicht wiederholen dürfen, bedeutet es dann auch, dass beispielsweise die 83 links unten nicht 8, 36, 39 sein darf?
If numbers in cages are not allowed to repeat, does it also mean that, for example, the 83 at the bottom left cannot be 8, 36, 39?
@Mody - Yes, 83 can't be 8, 36, 39 because that would repeat the digit 3 in that cage.
on 12. November 2020, 22:24 by MagnusJosefsson
Awesome puzzle! Nice logical steps, but long and challenging throughout. Enjoyable to solve but also a relief to finish with the correct solution.
on 11. October 2020, 18:00 by harrison
@udukos
I really enjoyed this. There were many steps that all involved very tricky logic, but there was always a logical next path to try. Brilliant construction.
@harrison Thank you very much! :)
on 6. October 2020, 22:36 by udukos
@marcmees Thank you! I am glad to hear that you enjoyed it.
on 6. October 2020, 21:35 by marcmees
very hard but immensely satisfying.
Thanks
