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, ... Piatato, cdwg2000, OGRussHood, Bankey, AvonD, lerroyy, roavin, soroush, Bobbobert, Ryzen, karen_birgitta, Dentones, tome_coelho, ZornsLemon, Bjd, teuthida, gynu, dennischen, Sewerin, Felis_Timon
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!