Parity Clockwork
(Published on 20. January 2022, 20:24 by Playmaker6174)
Rules:
- Normal Sudoku rules apply: every row, column and 3x3 box contains digits from 1 to 9 each once.
- Digits within a cage don't repeat and must sum to the small number written in the top left corner of that cage.
- Digits along a gray line must have the same parity, i.e. all odd digits or all even digits, and they form a set of non-repeating consecutive digits in terms of their respective parity in any order. In this case, parity of each line has to be deduced.
- A black dot implies the 1:2 ratio relationship between two cells, a white dot implies the consecutive relationship between two cells. Not all dots are given.
Puzzle:
Good luck and have fun solving!
Solution code: Row 7 (left to right) and column 2 (downwards), 18 digits long with no space
Comments
on 31. May 2022, 21:52 by Bankey
Had abandoned this half-done months ago. Tried afresh today, and finally the aha!! Very clever setting, and very enjoyable to solve. Thanks, @ Playmaker6174 :) (that Kaprekar Constant is a fantastic discovery!)
on 16. February 2022, 03:47 by Piatato
What a fantastic solvepath, with such great tricks throughout! :-D
on 24. January 2022, 07:58 by Playmaker6174
Thank you Abed and Jesper! I'm glad that you enjoyed the interesting works in this one :)
on 21. January 2022, 17:10 by Jesper
Very nice, the killer cages and the parity logic are combined really well :)
on 21. January 2022, 11:37 by abed hawila
Lovely puzzle, the lines interact perfectly with both killer cages and kropki dots. Very clever construction!
