The Butterfly - (Region Sum/Renban Lines)
(Published on 12. September 2022, 20:51 by Ennead)
(Flying Insects Series - 3/3)
Normal sudoku rules apply.
Purple lines must contain a set of non-repeating consecutive digits in any order.
Additionally, every line has a region-sum total N. In each of the 9-cell regions that
a line passes through, the digits on that line in that region equal N. N is not the
same for every line.
Grey circles indicate odd digits.
Solution code: Row 7 followed by column 9. (18 digits, no spaces)
Comments
on 9. November 2022, 03:32 by yttrio
A tricky but satisfying puzzle with some nice math and parity-based logic.
on 16. September 2022, 20:28 by Allagem
One of the harder puzzles on this site that I've managed to solve so far! Very satisfying to finish :)
I had one bifurcation when determining the contents of the upper renban "wing" in box 3. Would love to know if there was a better way to resolve that.
- Thanks for persisting! I'm glad you enjoyed it. The part you bifurcated was about the relationship between the 2 upper wings and the clues in their boxes. At a certain point in my solve path there was a way to determine those digits using several facts about the upper wings and the adjacent clues in combination. Almost all of the testers for this puzzle got stuck at the same point!
on 13. September 2022, 15:47 by bansalsaab
Very nice puzzle. Thanks for construction.
- Thanks! This one is my favourite of the three flying insects. Glad you enjoyed it.
