Parity Party 2
(Published on 13. December 2025, 18:09 by galium_odoratum)
Normal Sudoku rules apply.
Arrows: Values in cells with arrows indicate the total number of cells with the same parity in the given direction. All possible vertical and horizontal arrows are given (but NOT all diagonal ones)!
Note: Opposite parity cells do not block vision and if one cell has multiple arrows attrached to it, each arrow is counted independently!
Global parity: Each 2x2 area contains digits of both parities (odd and even).
Thermometers: Digits along a thermometer strictly increase from the bulb end.
Play on SudokuPad
Try out the others of this series:
Parity Fun 1
Parity Fun 2
Parity Fun 3
Parity Fun 4
Parity Fun 5
Parity Fun 6
Parity Fun 7
Parity Fun 8
Parity Fun 9
Parity Fun 10
Parity Fun 11
Parity Fun 12
Parity Fun 13
Parity Fun 14
Parity Fun 15
Parity Fun 16
Parity Fun 17
Parity Fun 18
Parity Fun 19
Parity Fun 20
Solution code: Row 8
Comments
on 18. April 2026, 17:15 by horseradish1
Wow. Just wow. There's a beautiful bit of logic to the break in, which I'm happy I recognised quite quickly (the restriction on which digits can go in the arrow cells), and then at the end, I'll admit I had to come and look at the comments here to get a hint of how to solve the final 8 cells.
That moment when I realised what I was missing was absolutely beautiful. What a fantastic puzzle.
on 7. February 2026, 13:06 by galium_odoratum
updated puzzle series links
on 29. January 2026, 14:50 by Titus Adduxas
Having just done the 1st puzzle in the series I thought I’d give this one a go and very nice it was too! A wonderful negative constraint to complete the puzzle too. Off to number 3!????
on 19. January 2026, 14:46 by Snookerfan
Very nice! Surprisingly easy except for the beautiful sudoku step near the end. I did not use global parity at all and the negative constraint only once. Thanks
on 19. January 2026, 14:29 by xie2yue
A fun puzzle! The rules "All possible are given" is amazing!
on 30. December 2025, 22:45 by Yahhavp
A very fun puzzle! Had to step away from the puzzle for a while and felt firsthand the need for the emphasis on the negative constraints. Generally a fairly easy solve the moment we got the trick that no digit higher than 3 may ever satisfy the arrow constraint
on 30. December 2025, 16:52 by KelleyCook
Solved the cool parity/arrow logic and colored the whole grid. But then came the unexpected zinger at the end.
on 23. December 2025, 01:01 by annaeinachin
very nice logic, but quite challenging for beginners to solve the very last bit
on 16. December 2025, 19:01 by Dermerlin
I forgot the global parity as well.
Very nice puzzle with or without global parity
on 13. December 2025, 19:12 by GorgeousNicko
Ah yes, the negative arrow constraint.
