This puzzle is my humble contribution to Flinty's amazing Dutch flat mates series. If you haven't had the pleasure of experiencing them yet, I highly encourage you to do so— you'll find the entire series linked below.
Note that I've made a slight adjustment in the Dutch flat mates rule (with Flinty's approval) to better align with the Ying Yang rules.
Rules:
Normal Sudoku rules apply. Place the digits 1-9 once in each row, column, and 3X3 box.
Yin and Yang:
Shade some cells such that all shaded cells are orthogonally connected and all unshaded cells are orthogonally connected. No 2x2 area may be fully shaded or fully unshaded.
Digits in a cage cannot repeat. Digits in shaded cells inside a Cage sum to the clue in the top left corner of the cage.
5s live in Dutch Neighborhoods.
All 5's in the grid must have a shaded '1' or an unshaded '9' orthogonally adjacent to them. It may have both, but it doesn't need both.
Previous puzzles in the Dutch Flat Mates series:
Solution code: Row 5 digits from left to right.
on 11. September 2024, 21:32 by sahi1l
I got pretty far before I remembered the Dutch neighborhood constraint! :)
on 15. August 2024, 21:54 by xtrm0
Nice puzzle,
Note: **the dutch neighbors rule is different from all the other puzzles in the series**
on 8. May 2024, 23:18 by wuc
What a beautiful puzzle. Thx.
on 9. April 2024, 13:24 by ChinStrap
Very great extension to yin yang!
on 29. March 2024, 16:51 by fajoogaloo
I really enjoyed the Dutch Neighborhood constraint! This is my first time coming across this ruleset. The way it unwound the 5's was beautiful :)
on 29. March 2024, 10:30 by CaptRob
Lovely puzzle, thanks a lot!
on 27. March 2024, 18:50 by DanishDynamite
Lovely! Took me a while to find the break-in cage.
on 27. March 2024, 18:16 by goodcity
I really liked the twist on the dutch Flat Mates variant which felt like a perfect match for Yin and Yang. Thank you for setting !
on 27. March 2024, 12:50 by Flinty
Thank you so much for the awesome addition to the series.
on 27. March 2024, 12:15 by rameshsrivats
Wonderful puzzle. Thanks.