Battle With The Archers 33: Between Friends and Enemies (part 3)
(Published on 21. June 2022, 08:52 by Playmaker6174)
In this part, I want to look at another interesting line with similar mechanics to arrow variant; the main inspiration of the line comes from zetamath and tallcat. This is actually a weird one since I managed to come up with an idea for the opening, but then I realized a huge difficulty spike of that part as well so I scrapped the entire opening idea and analyzed a new one, eventually I came up with this final result which is quite significantly easier. I apologized for the long delay since this one was supposed to be uploaded on the last weekend but I had quite lots of works in real life and also only realized the huge mistake on the first version.
Difficulty should be anywhere in the range 3-4 depends on how fast you understand the structure, I hope you enjoy!
Rules:
- Normal Sudoku rules apply: every row, column and 3x3 box contains digits from 1 to 9 each once.
- Digits along an arrow must sum to the digit in the circle cell attached to that arrow. Digits along an arrow can repeat if allowed by other rules.
- "Double Arrow": Digit[s] along a line that has two circles as its ends must have the same total as the total of two digits in those circles. Digits along a line can repeat if allowed by other rules, and the same note applies to digits in two circles.
For example, if two circles connected by a two cells line contain 3 and 7 then the line may contain digits like 4 and 6...
To clarify more, the circle R9C7 has two arrows with tips at R7C7 and R9C9, both of which are also circle ends of a "double arrow" line.
Puzzle:
Good luck and have fun solving!
Solution code: Row 7 (left to right) and column 6 (top to bottom), 18 digits long with no space
Comments
on 7. July 2024, 21:27 by GeorgeTheToad2
35 down 5 to go. I knew where to start but boy oh boy box 4 was very difficult to pin down. Spent ages but finally got it which is so rewarding. Thank you for this amazing series I hope I get time to finish it.
on 9. August 2022, 13:54 by Piatato
Very nice puzzle! Interesting interactions throughout.
on 10. July 2022, 03:57 by Xendari
I had lots of fun discovering the deductions in this puzzle. Thank you very much for setting & sharing :)
on 25. June 2022, 16:59 by Playmaker6174
Thank you all for the lovely feedback! Really happy to see how this one finally turned out after all those sweating days :)
on 22. June 2022, 22:42 by Jesper
Very nice one, Playmaker, thanks!
on 22. June 2022, 16:54 by Niverio
It's a breath of fresh air when we get a playmaker puzzle which isn't brutal in arithmetic :D
on 21. June 2022, 12:05 by Vebby
Very nice! Thanks Playmaker :)
on 21. June 2022, 10:34 by lerroyy
Very nice puzzle! Didn't have the best start, but after it was a smooth and fun solve.
