Sum Neighbors
(Published on 1. August 2025, 00:32 by FullDeck-Missing)
Standard sudoku rules apply: The digits 1 through 9 appear in every row, column, and box.
Runsums: Clues outside the grid give the sum of all digits that are consecutive with at least one of the adjacent digits in the corresponding row or column. For example, a row with digits 167853249 would have outside clue 26 = (6+7+8) + (3+2).
We categorized this puzzle as Heartburn, largely because it's a new (to us) constraint. Once you get your bearings for the constraint, it might be Strong Indigestion. For more information about our difficulty categories, please visit our website, Missing Deck Puzzles, where we publish a new puzzle each day.
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Solution code: Row 9, left to right, 9 digits no spaces.
Comments
on 1. August 2025, 16:35 by Exigus
Very interesting rule. Not too hard once you break down the possible sums. Thanks!
on 1. August 2025, 12:53 by FullDeck-Missing
Added information and links to prior uses of the constraint (thank you, Richard!)
on 1. August 2025, 12:44 by Snaques
I didn't realize that I mis-clicked and thought I was solving a 1* puzzle. Was rather relieved to realize that was not the case, because it really took some time.
That being said, I'm glad I did misclick because the ruleset was new to me and that made for a very interesting solve. Fun and rewarding puzzle.
on 1. August 2025, 06:40 by Playmaker6174
Lovely and fun puzzle! I do agree this one is relatively easier than the previous existed twos, but this still needs certain amount of attention to fulfill the clues and not make mistakes in the middle :)
on 1. August 2025, 05:20 by Richard
Nice one! I think it's a little bit easier than the other two that appeared in the past. :)
on 1. August 2025, 03:56 by Richard
Hi,
You were right! This type appeared under the name 'Consecutive Sums' twice.
SudokuExplorer invented the type in 2021:
https://logic-masters.de/Raetselportal/Raetsel/zeigen.php?id=00080N
and I included it in SVS in 2022:
https://logic-masters.de/Raetselportal/Raetsel/zeigen.php?id=000BB2
As far as I know, these are the only two puzzles with this interesting constraint.
>> THANK YOU!!!
