A Dynamic Line
(Published on 17. December 2023, 23:39 by arbitrary)
This is my latest puzzle exploring the consecutive sum lines constraint. If anyone enjoys this solve, they may wish to try other puzzles using this ruleset:
Rules:
Below is a simple 4x4 example to illustrate the rule set.
F-Puzzles link: https://f-puzzles.com/?id=yrgcy45x
SudokuPad link: https://tinyurl.com/4yxcrpuk
Rules:
- Normal sudoku rules apply.
- Kropki Dots: Digits connected by a dot 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 6, the sum of [R4C8, R5C7, R6C8] and the value of R6C7 may be different but each differs from the value of R5C6 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/4yxcrpuk
Solution code: Row 9
Last changed on on 18. December 2023, 15:23
Solved by OutOfMyMindBRB, lmdemasi, MonsieurTRISTE, StefanSch, yttrio, Kallor, Benji, Elliott810
Comments
on 18. December 2023, 16:03 by StefanSch
Nice!
on 18. December 2023, 15:23 by arbitrary
Reduced suggested difficulty
Last changed on 18. December 2023, 15:26
on 18. December 2023, 05:58 by lmdemasi
Lovely puzzle. I found it much more approachable than 4* in terms of difficulty.
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I'm glad you enjoyed it, lmdemasi. I probably overestimated how much unfamiliarity with the constraint might contribute to difficulty.
-Arbitrary
