Wraparound
(Published on 29. June 2025, 23:31 by mathpesto)
Rules:
Normal sudoku rules apply.
Modular Index Lines: The digit D in position P along a line indicates that digit P appears in position D, with position 1 being the diamond. HOWEVER, for a line of length L, digits which are congruent mod L are interchangeable.
For example, a valid solution along a standard four-cell index line could be 1-4-3-2, but on a modular index line it could also be 9-4-7-6 because 9 is congruent to 1 mod 4, 7 is congruent to 3 mod 4, and 6 is congruent to 2 mod 4.
For reference, each set of digits in brackets are considered interchangeable for each mod L.
- L = 3: {1,4,7}, {2,5,8}, {3,6,9}
- L = 4: {1,5,9}, {2,6}, {3,7}, {4,8}
- L = 5: {1,6}, {2,7}, {3,8}, {4,9}, {5}
- L = 6: {1,7}, {2,8}, {3,9}, {4}, {5}, {6}
- L = 7: {1,8}, {2,9}, {3}, {4}, {5}, {6}, {7}
- L = 8: {1,9}, {2}, {3}, {4}, {5}, {6}, {7}, {8}
Solve online:
Solution code: Digits in Row 8
Comments
on 1. July 2025, 01:21 by DubiousMobius
So happy to see this constraint getting some use! Great geometry for the break in, and then a very smooth and lovely finish. Thanks!
on 30. June 2025, 20:57 by ChinStrap
Enjoyed this one a lot!
on 30. June 2025, 20:15 by Qodec
Juicy puzzle with some fantastic deductions, loved that!
