When in Rome
(Published on 29. July 2024, 15:11 by apete)
Normal Sudoku rules apply.
The grid is covered in fog. Correctly entered digits remove fog in surrounding cells.
Digits separated by a white dot are consecutive.
Digits separated by a black dot are in a 2:1 ratio.
There is a line that only travels orthogonally and forms a single, non-crossing loop.
All cells not visited by the line are currently visible.
Box borders divide the line into segments. Each segment obeys the rule of the box it is in:
1: Ten Line
2: Renban
3: German Whisper
4: Same Difference
5: Between
6: Modular
7: Nabner
8: Region Sum
9: Entropic
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 each segment have the same difference for all pairs.
Between: Any 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. (Note: all segments have this 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 When in Rome here:
SudokuPad
This puzzle has a companion:
Where does it all end?
When in Rome
Solution code: row 8
Solved by jalebc, SKORP17, kublai, efnenu, brimmy, lsmooth, Alce, GorgeousNicko, Nylimb, dlandrum17, rameshsrivats, gdc, jkuo7, Thibaa, Propargyl, salientropy, Julianl, CrippledLamp, sarabtx, sze, SudokuFan, Yawnus, Myreque, maniacaljackal, harwiltz, nmmc123, TheZahninator, cat, halakani, Counterfeitly, tuckerbucket, Sagewastaken, sayuri17, Aeneryss, Montinox, joelth, PrinnyDidi
Comments
on 30. July 2024, 06:26 by rameshsrivats
Absolutely brilliant and beautiful
Last changed on 30. July 2024, 01:29on 30. July 2024, 01:29 by dlandrum17
The same difference rule threw me off for a bit because it made it seem like the same difference would be the same on both line segments in that box
on 30. July 2024, 00:22 by GorgeousNicko
I have completed nearly 1,000 puzzles on this site - and I rank this as the most enjoyable I can recall. I would have spent less time solving this if I hadn't 'known' entropic was really modular, and vice versa!