Decrements
(Published on 18. November 2023, 17:09 by arbitrary)
This is my latest puzzle exploring the consecutive sum lines constraint. There are also introductory, easy and intermediate difficulty puzzles available in this series.
Rules:
Normal sudoku rules apply.
Kropki Dots: Digits connected by a dot are consecutive.
V Pairs: Digits connected by a V sum to 5.
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 4, the sum of [R4C1,R5C2] and the value of R4C3 may be different but each differs from the sum of [R2C3, R3C2, R3C3] 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=yp9ufzxx
SudokuPad link: https://tinyurl.com/2p9tvbhf
Rules:
Normal sudoku rules apply.
Kropki Dots: Digits connected by a dot are consecutive.
V Pairs: Digits connected by a V sum to 5.
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 4, the sum of [R4C1,R5C2] and the value of R4C3 may be different but each differs from the sum of [R2C3, R3C2, R3C3] 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/2p9tvbhf
Solution code: Row 1
Solved by Dentones, Catalynz, flipout, mausi19la03, Elliott810
