Deconstruction: Region Sums
(Published on 24. April 2022, 22:14 by Jay Dyer)
I've finally made a sequel to my Deconstruction puzzle. This one is definitely more challenging than the original.
Rules
Contained within the grid are nine non-overlapping 3x3 square regions, which must be located. Each region contains the digits 1 to 9 once each such that no digit repeats in any row or column. Cells outside regions do not contain digits.
Along each line, digits on the line sum to the same total in each region the line passes through (the total may be different on different lines). Lines may pass through cells outside regions. If a line passes through a region more than once, each pass is summed separately. Lines must have at least two summed sections, but need not pass through multiple regions.
Solution code: Column 2 and row 4 (22 digits, use X for blank cells)
Comments
on 8. June 2024, 19:19 by Piatato
Lovely!
on 8. June 2024, 17:43 by benzonitrile
Beautiful from start to finish. Loved this one. :) <3
on 10. November 2023, 19:39 by Agent
Excellent puzzle! Well-constructed and a very satisfying solve.
on 9. March 2023, 22:57 by dtoto
Incredible!!
on 22. January 2023, 21:35 by KNT
Wonderful puzzle. Better a year late than never!
on 7. June 2022, 23:49 by Christounet
Phew ! What a beautiful construction ! Had to start over once because I made a wrong assumption about one of the regions, but it made me appreciate even more the beauty of the logic. Thanks for this !
on 11. May 2022, 23:12 by Bootenks
What a challenging puzzle. I loved it from the bottom of my heart. Awesome creation!
on 28. April 2022, 23:27 by hepcecob
This was an awesome puzzle, can't wait for more!
on 27. April 2022, 10:43 by abed hawila
Sublime!
on 26. April 2022, 23:52 by MagnusJosefsson
Great puzzle! Interesting and quite different logic, consistent solution path, and very neat presentation!
on 25. April 2022, 23:42 by crispy16
An absolutely sublime puzzle!
on 25. April 2022, 16:37 by kolot
Wonderful puzzle! Challenging from start to finish. I loved it.
on 25. April 2022, 14:52 by DVFrank
Absolutely wonderful puzzle! Such a clean construction full of interesting deductions right until the end! Loved it! :^)
on 25. April 2022, 05:55 by thefallenrat
A DECONS PUZZLE WITH REGION SUM LINES AS THE ONLY RULESET!!!???? INNNNSSSSAAAAANNNEEEEEEEEE!!!!
