Slitherlink Region Sum Hexuro
(Published on 22. July 2024, 07:10 by Nell Gwyn)
- Normal (hexagonal) Kakuro rules apply: Place a digit from 1 to 9 in each empty cell such that digits do not repeat in a straight line with no gray cells separating them. A number in a gray cell gives the sum of the digits that clue sees in its indicated direction (other gray cells block the view).
- Slitherlink: Draw a single non-branching closed loop around the borders of some cells. The loop can only go on dotted lines (meaning, it cannot go between two gray cells, nor between a gray cell and the outer edge of the grid).
- A digit in a circle is a Slitherlink clue, which counts how many of that cell's six borders are part of the Loop.
- Blue lines are Region Sum lines (different lines are different shades of blue, this is purely cosmetic). For each Region Sum line, the Slitherlink Loop divides that line into segments, and each segment on the line must have the same sum (different lines may have different sums). Digits may repeat on a line segment, if allowed by other rules.
- Each Region Sum line must cross the Loop at least once.
Penpa link
Solution code: Second row, left to right, with an asterisk ("*") for the gray clue cell, and hyphens ("-") for vertical lines in the Slitherlink Loop on vertical borders of cells (e.g. "12-*-123-4-567-")
Solved by tuturitu, Christounet, jkuo7, Mr_tn, ThePedallingPianist, Palfly Kampling, gdc, Statistica, ONeill, AKernel, Chefofdeath
Comments
on 2. September 2024, 17:55 by Chefofdeath
Wonderful use of the negative constraint and the interactions between the RSL’s and slitherlink were all very clever and interesting throughout! Thank you for the puzzle :)
on 31. July 2024, 10:13 by ONeill
Cool :) the negative constraint works wonders
on 31. July 2024, 08:04 by Statistica
Nach einem Drittel hatte ich einen längeren Hänger, aber ansonsten lief es gut logisch durch. Klasse!
on 22. July 2024, 11:47 by Christounet
Nice !! Slitherlink clues with hexagonal cells is a neat idea. Enjoyed it. Thanks :)