Chaos Construction: Region Sums
(Eingestellt am 7. April 2022, 20:42 Uhr von KNT)
Normal Chaos Construction rules apply. Place one of each digit 1-9 in every row, column, and region, but the regions must be determined by the solver. That is, divide the grid into 9 orthogonally connected groups of 9 cells.
The light blue lines are region sum lines. For each line, digits on the line have an equal sum N for each region it passes through. If a line passes through the same region more than once, each individual segment of the line within that region sums to N separately. Every line must enter at least two regions. The value of N is not necessarily the same for every line, and where lines meet, they cross. No lines branch.
A digit N in a circled cell indicates the number of digits on that particular segment of the region sum line within that region. Not all circles are necessarily given.
A black diamond indicates that the 4 cells surrounding it form a Renban group. That is, the digits in the 4 cells surrounding the diamond form a consecutive group of 4 distinct numbers, in any order. Not all black diamonds are necessarily given. (Note: F-puzzles screenshot seems to hide one of the diamonds underneath the intersection of the two region sum lines in rows 8 and 9- the CTC link should make it more clear, though).
CTC app link
I particularly had fun setting this puzzle, I hope you enjoy it!
Lösungscode: Row 3 followed by Column 7
Kommentare
am 5. Mai 2023, 13:58 Uhr von ibag
And once more very nice!
am 12. November 2022, 20:39 Uhr von StephenR
Thanks KNT, I certainly did enjoy it. I wonder if you had as much fun setting it as I did solving it. We shall probably never know ...
am 9. September 2022, 08:32 Uhr von Christounet
Very nice use of the region sum lines gere ! The geometry at the bottom is just amazing, and I loved how the big line helped to define regions so precisely in the mid solve.
am 16. August 2022, 19:38 Uhr von Piatato
Great construction! For me the first half was very smooth, and then I spent forever on the ending, which I found very intricate, although in the end rewarding.
am 2. Mai 2022, 18:22 Uhr von Niverio
Such an intricate solve path!
am 8. April 2022, 16:23 Uhr von MagnusJosefsson
Very nice and fun puzzle!
am 8. April 2022, 13:02 Uhr von marcmees
very nice puzzle. thanks.
Logical path was very clear, at least for the first half of the solve :-)
am 8. April 2022, 11:51 Uhr von Tilberg
Juggling and struggling! Thank you.
am 8. April 2022, 04:53 Uhr von thefallenrat
Another great puzzle as always! Though to be honest this one is harder than all of your other CC puzzles with the break-in kinda tedious for me (at least)
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I'm glad you're enjoying these! You think it was tedious though? Maybe it's possible to "grind" through the start with trial and error, but I think there's a very elegant way to do every part of this puzzle. Do you mind mentioning more details in a hidden comment? I can explain my thought process there.
am 8. April 2022, 04:35 Uhr von Elliptical
That was a fun puzzle. I loved the break in.
am 8. April 2022, 00:27 Uhr von Ore
The first part was quite difficult for me. But very nice puzzle. Thanks!
am 7. April 2022, 23:08 Uhr von Jesper
Fun puzzle, thanks!
am 7. April 2022, 22:31 Uhr von KNT
Clarified rules.
am 7. April 2022, 22:29 Uhr von Elliptical
Is there a diamond hidden behind the two crossing lines at the center bottom of the grid? There seems to be a diamond there.
Also, I'm assuming the crossing lines are two different lines. Is that correct? Or is it a single branching line?
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The CTC link should make it clear, but yes there is a diamond behind the intersection of the cross. And I will update the rules to say where lines intersect, they cross. There are no branching lines. Sorry for the confusion.
