Parity Clockwork
(Eingestellt am 20. Januar 2022, 20:24 Uhr von Playmaker6174)
The following is a puzzle that utilizes the power of parity, I made this one quite a long time ago and now I decide to share it here, I hope you enjoy!
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:
F-puzzle link
Sudokulab (alt. link)
Penpa plus (alt. link)
CTC app (alt. link)
Good luck and have fun solving!
Lösungscode: Row 7 (left to right) and column 2 (downwards), 18 digits long with no space
Zuletzt geändert am 20. Januar 2022, 20:25 Uhr
Gelöst von SKORP17, tallcat, OutOfMyMindBRB, ScatterBrain, mathpesto, Elliott810, Vebby, abed hawila, wilsig, krangune, tinounou, Jesper, ManuH, zlotnleo, Niverio, 0123coolkid, askel083, KNT, BHUNTER47, cegie, ... roavin, soroush, Bobbobert, Ryzen, karen_birgitta, Dentones, tome_coelho, ZornsLemon, Bjd, teuthida, gynu, dennischen, Sewerin, Felis_Timon, valle1124, karlmortenlunna, apwelho, PsychedelicCreature
Kommentare
am 31. Mai 2022, 21:52 Uhr von 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!)
am 16. Februar 2022, 03:47 Uhr von Piatato
What a fantastic solvepath, with such great tricks throughout! :-D
am 24. Januar 2022, 07:58 Uhr von Playmaker6174
Thank you Abed and Jesper! I'm glad that you enjoyed the interesting works in this one :)
am 21. Januar 2022, 17:10 Uhr von Jesper
Very nice, the killer cages and the parity logic are combined really well :)
Zuletzt geändert am 21. Januar 2022, 11:37 Uhram 21. Januar 2022, 11:37 Uhr von abed hawila
Lovely puzzle, the lines interact perfectly with both killer cages and kropki dots. Very clever construction!