Parity Loop
(Published on 6. February 2025, 15:32 by brainteaserartisan)
Following the positive response to my first loop-drawing puzzle, I decided to continue in this direction and set another one—this time featuring a parity loop.
Comments are welcome, but please be kind.
Enjoy!
Rules:
- Normal sudoku rules apply.
- Digits in cages cannot repeat and must sum to the clue in the corner, if given.
- Digits separated by an X must sum to 10, and digits separated by the V must sum to 5.
- Digits separated by a white dot must be consecutive, and digits separated by a black dot must be in a 1:2 ratio (one digit is double the other).
- Not all Xs, Vs, or dots are necessarily given.
- Digits along an arrow must sum to the digit in that arrow's circle.
- Draw a one-cell-wide loop of orthogonally connected cells that must pass through every cell in every cage without visiting any cage more than once. The loop cannot touch itself orthogonally but may touch itself diagonally.
- The loop acts as a parity line, meaning adjacent digits must alternate between odd and even.
Comments are welcome, but please be kind.
Solution code: Column 8 (9 digits, top to bottom)
Solved by teff, 9Rookienumbers, maglia, Piff, Joyofrandomness, galium_odoratum, unlogical, YoshiKyon, pookster, LehanLehan, efnenu, DanishDynamite, Smartacus, Killer-Ly , NeroChaos, ad1643, dielilla, Raistlen, ... rcg, olliwright, Slumped_5, RobotChicken, AdamGaffney96, Spider, flipping, emmalee256, Snaques, OJPS, jjtheplum, Tompzini, strangelyinsane, agvard, Luke7614, etoler, Gosciola19, pepe74287, Balshoj
Comments
on 8. February 2025, 23:01 by wuc
Cool. Keep going. Great fun thx.
on 8. February 2025, 00:13 by chis_r
Nice puzzle!
on 6. February 2025, 20:16 by Virux
Amazing!
on 6. February 2025, 17:20 by galium_odoratum
This was fun! Sometimes it can be tedious when there are too many clues on the grid, but for this one the logic flowed nicely and no scanning was needed.
