Pfeilchenbeet / Arrow Farm
(Published on 17. November 2020, 20:01 by Phistomefel)
In this puzzle a few round arrow seeds are sown and you first have to determine where they grow. An arrow starts its growth from the round seed and spreads out from there in the form of a path which is one cell wide and neither crosses nor touches itself orthogonally (like the rules for a snake). The digits on the path (without the circle) add up to the number in the circle. Two-digit numbers in a circle are read from left to right and the arrow can start from the ones digit or the tens digit. No additional circle may be drawn and two arrows must not intersect anywhere.
A white cell must be part of exactly one arrow. On a rocky, grey cell no arrow can spread and a yellow sand cell can be part of an arrow or not.
For illustration, here is an example on a 6x6 grid:
Here you find a link to the example. The colors in the example and in the real puzzle are slightly changed for F-Puzzles to facilitate the solving.
The puzzle is available online via F-Puzzles, as well. Have fun solving!
Solution code: 7th and 9th column
Comments
on 8. October 2023, 11:03 by CrazyCrypticC
Very nice puzzle. Thanks.
on 23. November 2020, 17:21 by Phistomefel
Klarstellung. Danke an glum_hippo!
on 23. November 2020, 17:08 by Phistomefel
@glum_hippo: Danke für's Nachhaken - es bedeutet nicht, dass aus den Zahlen im Gitter keine neuen Pfeile gebildet werden könnten, sondern, dass man keine neuen Kreise einzeichnen darf, aus denen Pfeile entspringen.
on 23. November 2020, 16:54 by glum_hippo
Aber was bedeutet es, daß alle Kreise gegeben sind? Daß man im ausgefüllten Gitter in den von Pfeilen _nicht_ besetzten Zellen keinen neuen Pfeil bilden könnte?
on 23. November 2020, 08:22 by PixelPlucker
Wow. This is going straight into my favourites list!
on 19. November 2020, 01:34 by Willy Wonka
I'm so thrilled that the Snake Sums ruleset has inspired this incredible puzzle! I have not been able to solve it today despite spending a long time on it but I look forward to having another crack very soon!
@WillyWonka: Sorry that I did not see your comment earlier. Thanks a lot for your wonderful feedback, your perseverance in solving this puzzle and especially for inspiring it!
on 18. November 2020, 16:07 by Phistomefel
Thank you for the kind words, marcmees! :)
on 18. November 2020, 15:46 by marcmees
very tricky , very nice. Thanks
on 18. November 2020, 09:30 by Phistomefel
Rule clarification - thanks to cdwg2000.
on 18. November 2020, 09:26 by Phistomefel
@Jesper, @Yohann, @ThrowngNinja, @puzzle2021: Thank you for the nice feedback.
@cdwg2000: Thank you for the hints! I will add them to the description.
on 18. November 2020, 08:32 by ThrowngNinja
Probably the first time I didn't completely struggle on one of your puzzles hahaha, still took a lot of time but it was fun the whole way through
on 18. November 2020, 08:13 by cdwg2000
To clarify: 1. There can be snakes or no snakes in the yellow area; 2. For the circle of 2 digits, the snake can start from the single digit (second grid) or from the tens digit (first grid) Start to extend; 3.all snake heads have been given.
on 18. November 2020, 06:07 by Yohann
Tough break-in and challenging until the end. Great setup!
on 18. November 2020, 04:38 by marcinj
No matter how I start I quickly get into a dead end and break the puzzle, so I must be misunderstanding the rules somewhere. I guess I'll just wait for Simon to solve it on CtC :D
EDIT: I think I know what my incorrect assumption was. Giving it another shot!
on 18. November 2020, 01:43 by Jesper
Great puzzle! Very challenging (at least to me).
on 17. November 2020, 22:08 by Phistomefel
Clarification - thanks to harrison!
on 17. November 2020, 22:06 by Phistomefel
@harrison: Thank you for the question - it is good to clarify this. The idea is that an arrow behaves like a snake. So, an arrow that forms a 2x2 square touches itself and is therefore not allowed.
on 17. November 2020, 21:22 by harrison
@Phistomefel--This puzzle looks excellent, can't wait to try it.
May I ask one clarification question?
Can an arrow form a 2x2 grid? For example if you have
4 8
3 1
If the arrow is like a normal Sudoku arrow, it can start at 8 and then go to 4,3,1 without crossing or touching itself. However, if the arrow is treated like a 1-cell-wide Snake, it would touch itself and this wouldn't be allowed.
