Zero Sum
(Published on 13. May 2026, 17:55 by Invintic)
RULES:
Fill the grid with the digits 0-9 such that each of the digits 1-9 appear at most once in any row, column or box. The digit 0 may appear any number of times in the grid. The digits in every row, in every column, and every box must sum to the same number, which must equal the number of zeroes in the grid.
Region borders divide the blue line into segments with equal sums. Cells separated by an X sum to ten. Arrows between cells point to the smaller digit.
Solve:
Sudokupad
Solution code: The number of zeroes in each column, left to right, then row 2, no spaces.
Comments
on 15. May 2026, 19:19 by Invintic
Changed the rules as suggested, thanks Playmaker6174! :)
on 15. May 2026, 18:02 by Playmaker6174
One of the most beautiful puzzles I’ve solved in recent memory.
Once I ultimately remembered that the “secret” sum applies to all houses (row/column/box), the solve only started to click with me gradually, and that one aha breakthrough in the middle was rather surprising for me x)
(btw the ‘different segments’ rule was a bit confusing for me, I suggest either omitting it or adjusting it into something like ‘segments in the same box are treated separately for the sum’)
on 15. May 2026, 00:27 by Invintic
Updated rules to be clearer.
on 14. May 2026, 01:01 by Dcs
Very cool ruleset!
