Inequalities
(Published on 31. October 2023, 11:53 by Ennead)
Normal sudoku rules apply.
In each row and column the 'sandwich sum' is the total of the digits between 1 and 9. In a column/row without an external clue this total is 0. '>' indicates a total greater than 0. '<' indicates a total less than 0.
One cell in every row, column and box is a negator cell and makes its digit negative. Every negator cell must be used in at least one sandwich sum total.
A '>' or '<' between two cells indicates that the value of one cell is greater than the other (eg 5 > 4).
Solution code: The digits in negator cells read top-bottom followed by column 1 top-bottom. (18 digits no spaces)
Comments
on 13. January 2024, 00:41 by SamuPiano
Another remarkable puzzle! This one definitely deserves a rating. :)
on 1. November 2023, 03:02 by jinkela114514
Does the negators have to contain a complete set of digits 1~9?
- Hello! Thanks for trying the puzzle. No, that is not required by the rules so digits can repeat.
on 31. October 2023, 14:58 by yttrio
An amazing puzzle with a couple of distinct phases to the solve! It definitely took some time to understand how the non-positive sandwich sums needed to work, but it was really quite incredible that everything could ultimately be determined just with inequality signs!
