A Special Tribute: 1K for Zeta!
(Published on 12. May 2022, 08:42 by Playmaker6174)
This one is also a special thank you to him for sharing a great amount of original and beautiful puzzles that I've always enjoyed greatly, for the theme of this puzzle I put some colorful variants together and made a harmonic puzzle that utilized each of the variant so it's like one big basket full of tasty and fresh fruits. Difficulty should lie anywhere between 3.5-4 so I hope you enjoy this one here! :)
(there're plenty of rules for this one so read carefully first before doing so)
- Normal Sudoku rules apply: every row, column and 3x3 box contains digits from 1 to 9 each once.
- Digits in the killer cage (box 1) sum to 26.
- Outside clue shows the sum of the digits in the cells along the indicated diagonal is 38.
- Digits along an arrow sum to the digit in the circle cell attached to that arrow.
- A black dot with number shows the remainder between two cells when the greater digit is divided by the smaller one; a white dot with number shows the difference relationship between two cells.
Example for the remainder: 5 and 2 will have 1 in the black dot connected between them since 5 divided 2 is 2 as the result and **1 as the remainder**.
- Each of the colored line serves its own distinct purpose:
+ Green line: adjacent cells must have difference of at least 5.
+ Yellow line: adjacent cells must have difference of at least 4.
+ Red line: acts as renban, i.e. digits form a set of consecutive digits in any order.
+ Blue line: each segment of blue line in the boxes passed through has a sum of digits as N, if the line passes through the same box multiple times then each individual segment counts separately. The sums of two consecutive segments in consecutive boxes must have difference of at most 1.
For example, if R6C3 is 8 then sum (R7C2+R8C2+R8C3) has to be either 7,8,9.
It's also possible that the sum (R7C2+R8C2+R8C3) and R9C3 contain different values.
Puzzle:
Good luck and have fun solving!
Solution code: Negative Diagonal (top left to bottom right diagonally) and Row 9 (left to right), 18 digits long with no space
Comments
on 8. October 2022, 22:43 by Christounet
I've been sitting on this one for quite some time, because I failed to understand a basic fact about the trident looking triple arrow, but I kept it on my list because it looked very esthetic. Really liked the interaction between the clues.
on 14. May 2022, 16:37 by abed hawila
Very clever construction, I liked how all rulesets interacted with each other in a neat way!
---
Thanks Abed! Setting this one was also really fun too, and I'm glad that you enjoyed the colorful interactions :)
on 13. May 2022, 21:11 by Playmaker6174
Thank you very much Vebby, Elliott810 and purpl! I'm glad that this puzzle brought so much joy to all of you, as it went through quite a lot of works during the setting process :)
on 13. May 2022, 18:19 by purpl
I loved the deductions in box 4. Overall the puzzle was lovely and clearly put together with a very careful hand.
on 13. May 2022, 07:12 by Elliott810
Beautiful puzzle! Thanks:)
on 12. May 2022, 08:46 by Vebby
Loved the variety of clues and their interactions. Nice tribute! :)
