Contrail
(Published on 11. November 2023, 20:16 by arbitrary)
Normal sudoku rules apply.
Kropki Dots: Digits separated by dots are consecutive.
Consecutive Sum Lines: Within each 3x3 box, the sum of digits along a contiguous line segment is consecutive with the sum along the line segment in any box it directly connects to. If a line re-enters a box, each contiguous segment is a separate sum which may be different in value if permitted by other rules. For example, in box 8, the sum of [R7C4,R8C4] and the sum of [R7C5,R8C5] may be different but each sum differs from R6C5 by exactly 1.
i.e. Lines behave like region sum lines but the sum increases or decreases by 1 whenever the line crosses into a box.
Below is a simple 4x4 example to illustrate the rule set.
F-Puzzles link: https://f-puzzles.com/?id=yvgpa8bs
SudokuPad link: https://tinyurl.com/2n66ynpn
Kropki Dots: Digits separated by dots are consecutive.
Consecutive Sum Lines: Within each 3x3 box, the sum of digits along a contiguous line segment is consecutive with the sum along the line segment in any box it directly connects to. If a line re-enters a box, each contiguous segment is a separate sum which may be different in value if permitted by other rules. For example, in box 8, the sum of [R7C4,R8C4] and the sum of [R7C5,R8C5] may be different but each sum differs from R6C5 by exactly 1.
i.e. Lines behave like region sum lines but the sum increases or decreases by 1 whenever the line crosses into a box.
Below is a simple 4x4 example to illustrate the rule set.
SudokuPad link: https://tinyurl.com/2n66ynpn
Solution code: Row 1
Solved by lmdemasi, Meech, TheJakeEX, brimmy, SKORP17, Iluvsodah, Felis_Timon, by81996672, bergelfe, hige, EnotiAndy, escutcheon, Montinox, Montikulum, starelev5, Vodakhan , samuel1997, bpcobra96, Crul, ... Lovejoy , Rollo, creedthoughts, Notlob, Odinvi00, adam001, Tigger579, ManuH, Benji, Puzzle Weasel, robokong, Lodinn, MyWay90, Uhu, Just me, Tug, PippoForte, Nebu, Zedarflight , Elliott810
Comments
on 30. November 2023, 15:18 by Rollo
Ganz toll :-)
on 14. November 2023, 11:34 by Montikulum
Very "rhythmic" puzzle, beautifully set!
on 12. November 2023, 21:15 by Montinox
Enjoyed this immensely!
Last changed on 11. November 2023, 22:05
on 11. November 2023, 21:20 by Meech
Nice puzzle took a little getting used not done Consecutive sum lines before but was nice, got a little stuck in the middle
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Thank you, Meech. Glad you enjoyed it.
I'm not sure if this is a new constraint. I don't recall seeing it before, but it is an obvious extension of regions sum lines. Regardless, I think it has potential for some interesting puzzles.
-Arbitrary
