Linearum Summatio
(Published on 6. June 2026, 22:55 by Dr Logic)
Preamble
-
This puzzle was inspired by a recent puzzle by Lithium-Ion where each constraint summed to the same total. Go and check out their puzzles if you have not already!
Let me know what you thought of it in the comments!
A colourblind friendly grid has also been provided with each line labelled ('GW' for German Whispers, 'RSL' for region sum lines, 'R' for the red zipper+RSL lines.)
Happy solving!
Dr Logic
Rules:
- Normal sudoku rules apply.
- Red lines are both 'zipper' and 'region sum lines', they obey both of the following:
- Zipper: Digits equidistant from the marked centre of a zipper line must sum to the digit placed at the centre (if there is no marked centre, the sum is to be determined).
- Region Sum Line: Box borders divide red and blue lines into regions that all sum to the same number. This sum is not necessarily the same for different lines.
- German Whispers lines: Alternating digits along green German Whispers lines differ by at least 5.
- Digits in a killer cage sum to the value in the top left (if given).
- Cells separated by a white dot are consecutive.
- No negative constraint on dots.
- The digits on each instance of each constraint (except from the white dot!) must sum to the same number, this number is to be deduced by the solver.
If you liked this puzzle I am sure you would LOVE another puzzle by me! Click below to play!
Solution code: Row 5 followed by the sum that all constraints obey.
Solved by Dr Sudoku , StefanSch, SKORP17, idanz, Berkals, jalebc, Myfyr MJ, Nylimb
Comments
on 7. June 2026, 23:28 by Myfyr MJ
Very nice but tricky. - 3 stars difficulty is about right.
