Paritriplicates
(Published on 3. December 2022, 03:22 by Dave Sandwich)
Paritriplicates
Example:
Rules:
- Normal sudoku rules apply.
- Equal Sum Lines (NOT regional): The sum of digits along a red line must be the same for all red lines; the sums are unaffected by regions.
"Paritriplicates":
- A Paritriplicate is a set of three consecutive diagonally adjacent cells that contain the same digit. All three cells in a set are in a straight line, either positively or negatively diagonal. There must be as many Paritriplicate sets in the grid as possible (i.e., if three diagonally adjacent cells in a straight line can contain the same number, then it must be a Paritriplicate.)
- The even/odd parity of all positive diagonal Paritriplicates must be the opposite parity of all negative diagonal Paritriplicates (and vice versa). The parity must be determined by the solver.
Outside clues:
- A number outside of the grid represents the sum of all the odd (if it is orange) or even (if it is blue) Paritriplicate cells seen in the corresponding row or column.
- Additionally, the color of a number outside of the grid indicates the parity of the first Paritriplicate seen in the row or column from the direction of the clue (where orange = odd, and blue = even).
CTC app link: Click
Here
Enjoy!
Solution code: Row 1 left to right followed by row 9 left to right (18 digits, no spaces)
Last changed on on 17. February 2025, 20:59
Solved by Dentones, Entropywins, sth
Comments
on 17. February 2025, 20:59 by Dave Sandwich
This should only be “hard”, and not “very hard”
on 6. December 2022, 01:56 by Dave Sandwich
changed labels
Last changed on 5. December 2022, 03:30on 4. December 2022, 23:15 by sth
The paritriplicates have surprisingly many interesting implications that are used to solve the puzzle. Very enjoyable!
Reply: Thank you! I'm glad you enjoyed it!