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Exploded Sum Compass Sudoku

(Published on 31. January 2022, 21:00 by stephane.bura)

Every row, column and compass region must contain the digits from 1 to 9.
You must draw the nine contiguous compass regions.

If there is at least one arrow pointing to a cell, that cell contains the sum of the numbers of cells belonging to the regions where the arrows come from, in the respective directions of the arrows.
If several arrows come from the same region, the number of cells must be the same for these arrows and it’s only counted once.

If there are several arrows in a cell, one or more can contribute for a value of 0.

For instance, from the example:

  • Red 8: there are 8 red cells above the up arrow.
  • Red 3: there are 2 green cells to the left of the arrow on the right and 1 red cell below the arrow at the top. 2 + 1 = 3.
  • Orange 2: 1 from green + 1 from orange + 0 from grey.
  • Blue 2: both arrows come from the same region (orange), so they should be the same (2 above and 2 to the right) and they are only counted once.
  • Blue 8: two arrows from blue of value 6 counted once + one arrow from orange of value 2.

All the possible arrows and combinations of arrows are given.

This means, for instance, that if there were no up arrows in the green cells marked with an X in the example, these cells couldn’t contain a 5 since there are 5 green cells above this row.

Enjoy!

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Solution code: Column 4, column 6

Last changed on on 1. February 2022, 20:24
Solved by polar, Jesper, MagnusJosefsson, marcmees, Piatato
Full list

Comments

Last changed on 6. March 2022, 13:35

on 6. March 2022, 13:29 by Piatato
There are very few things that feel better than finishing one of your fierce Compass Sudokus. I have loved every puzzle in this series, and this was yet another stunning masterpiece!

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Thanks Piatato :)

Last changed on 3. February 2022, 01:41

on 3. February 2022, 01:31 by henrypijames
That really looks like the next level of mental DoS. I shudder to think how many mistakes I'm gonna make solving this one ...

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:D
I believe in you.

on 1. February 2022, 20:24 by stephane.bura
Added Chaos Construction tag.

Last changed on 1. February 2022, 19:32

on 1. February 2022, 17:49 by marcmees
wow. nice return of the greatest compass chaos setter. Thanks for the fun.

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*blush*

Last changed on 1. February 2022, 13:27

on 1. February 2022, 13:13 by MagnusJosefsson
Great puzzle! Carries on the delightful logic of the previous entries in the series but adds some cool new twists.

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Thanks Magnus :)

Last changed on 1. February 2022, 11:44

on 1. February 2022, 11:41 by Jesper
Wonderful! Really happy to see this series continuing :)

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I was goaded by Zetamath's solves (on YouTube) of two of my previous puzzles in this series.
I'm glad I can always count on the faithful to try my crazy puzzles. Thanks :)

Last changed on 31. January 2022, 23:26

on 31. January 2022, 23:14 by polar
Delighted to see a puzzle from this series and it didn't disappoint! I enjoyed every minute of it - thanks :)

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Thanks polar!
I am myself delighted that you liked it :)

Difficulty:5
Rating:N/A
Solved:5 times
Observed:7 times
ID:0008ZU
Puzzle variant
Sudoku, Chaos Construction (Variant), Compass (Variant)

Enter solution

Solution code:

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