Where does it all end?
(Published on 9. November 2023, 14:35 by apete)
The grid is covered in fog. Correctly entered digits remove fog in surrounding cells.
Cells with a grey square contain an even digit.
Each line has a distinct color.
Lines do not branch or cross and only move orthogonally.
All lines have a length of 3 or more.
The box location of each line's ends determine its type(s):
1: Ten Line
2: Renban
3: German Whisper
4: Same Difference
5: Between
6: Modular
7: Nabner
8: Region Sum
9: Entropic
e.g. yellow has one end at r3c5 and the other at r7c5. It is both Renban (box 2) and Region Sum (box 8).
Ten Line: The line can be broken into segments such that each sums to 10.
Renban: The line contains a set of non-repeating consecutive digits, in any order.
German Whisper: Adjacent digits along this line must differ by at least 5.
Same Difference: Adjacent digits along this line have the same difference for all pairs.
Between: All other digits along the line have values that fall strictly between those of the ends.
Modular: Every group of 3 consecutive cells along the line contains a full set of remainders modulo 3: one from (1,4,7), one from (2,5,8), and one from (3,6,9).
Nabner: None of the digits on the line repeat, nor are consecutive with any other digit along the line.
Region Sum: Box borders break the line into segments with the same sum.
Entropic: Every group of 3 consecutive cells along the line must contain a low (1,2,3), mid (4,5,6), and high (7,8,9) digit.
Try Where does it all end? here:
SudokuPad
old link
Look here for other lines in the fog puzzles:
Lines in the Fog
Different Lines in the Fog
More Lines in the Fog
Solution code: Row 5
Comments
on 15. May 2024, 23:02 by apete
Renamed puzzle. Rephrased rules. Shortened solution code length. Added link to new version. (Added link to old version for previous solve counter info.)
on 8. January 2024, 23:28 by Virux
For some reason I thought this was a 1 star puzzle going in. 1 hour later after finishing I thought, again "What a hard 1 star puzzle". Only then realised it was 3 stars... Lovely setting. thank you!
on 10. November 2023, 12:42 by Franjo
Quite easy break-in, but then quite hard to find the next steps - for me. But all the way very entertaining! Thank you so much for sharing this masterpiece.
on 10. November 2023, 00:37 by Myxo
Awesome puzzle! Very intricate, but completely logical solve path. Deserves a much higher rating (in both beauty and difficulty) :)
on 10. November 2023, 00:36 by wisty
Great puzzle! Many steps are very interesting, albeit quite tricky :)
on 9. November 2023, 22:14 by Kawkaz
What an amazing puzzle!
There were so many times where I felt I can't progress, but there was always a way to move on, just beautiful
on 9. November 2023, 13:37 by apete
When I first released More Lines in the Fog, there was a flaw in the first step. I hastily made a change, to allow the puzzle to be valid, but it removed some of the beauty.
I have reworked things and this is the definitive version.
