Parity Party 4
(Published on 1. January 2026, 16:45 by galium_odoratum)
Loop: Construct a single continuous loop using only even digits. The loop cannot cross or touch itself, not even diagonally. The loop cannot be orthogonally touched by an even digit (diagonally is allowed).
Grey squares: A cell with a grey square contain an even digit. All grey-square cells are part of the loop. The digit in a grey-square cell indicates the number of even digits visible orthogonally, including the cell itself, whereas odd digits block visibility.
Diamonds: A digit in a cell with a diamond indicates a global knight's move constraint, which applies only to this particluar digit.
X/V: Cells joined by a V sum to 5. Cell joined by an X sum to 10.
Cages: Digits in a cage sum to the number shown in its top-left corner.
Dynamic fog: Some cells are initially covered by fog. Placing certain digits will clear fog elsewhere in the grid. No guessing is required.
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 3
Comments
on 7. February 2026, 13:08 by galium_odoratum
updated puzzle series links
on 29. January 2026, 16:13 by Titus Adduxas
I think that was my favourite so far. The break in was quite challenging and you definitely need to be careful with your colouring but I loved the disambiguating diamonds at the end.
on 13. January 2026, 22:21 by Tws
Cool!
on 13. January 2026, 18:51 by Tws
Cool!
on 12. January 2026, 02:05 by vtable
I missed that the knight constraints for diamonds are to be global first and got stuck until I reread the rules very carefully. Afterwards it was a very satisfying solve, thanks!
on 5. January 2026, 04:39 by ItchySwan
What an awesome puzzle! The logic was very fun and clever.
on 2. January 2026, 18:59 by sparkymanu
Very nice and approchable puzzle, thank you so much for sharing ! Very fun flow
on 1. January 2026, 17:54 by Adrian71
Such a lovely puzzle! I thoroughly enjoyed this one, the break-in was interesting and challenging, and later on some nice logic too. Thanks for sharing!
on 1. January 2026, 16:57 by annaeinachin
One of my favorite puzzles so far. Very fun, nice logic!
Thank you for setting :)
