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Uneven wheel

(Published on 11. March 2025, 04:12 by NicoD)

Uneven wheel by Nicolas Duhail.

Rules
Normal sudoku rules apply.
Digits along the red parity line must alternate between odd and even.
Additionally, this line acts as a thermometer: digits along it must increase from one end to the other (the solver must determine the direction).
In this puzzle, two orthogonally adjacent digits cannot have a difference of 7.
Draw a one-cell-wide loop of orthogonally connected cells. The loop may not touch itself, not even diagonally.
Every cell on the loop must contain an odd digit (but an odd digit is not necessarily on the loop).
Every odd digit on row 4 must be on the loop.
You must place exactly six 3s and six 5s on the loop.
You must place exactly six 4s inside the loop.

Play this puzzle on SudokuPad

Solution code: Row 1

Last changed on on 26. March 2025, 16:37

Solved by lzjsy, aidan, Piff, SKORP17, glum_hippo, benisjammin
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Comments

on 26. March 2025, 16:37 by NicoD
Edit: tag removed.

Last changed on 26. March 2025, 16:55

on 26. March 2025, 13:30 by glum_hippo
The Parity Party constraint is not used here. Please remove the tag.
A fairly smooth solve, though the loop rules were quite cumbersome...
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ND: Thanks for the feedback. I do not know what is "parity party" then.
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That's ok! It's a very specific constraint invented by me. Have a look at the puzzles listed here: https://logic-masters.de/Raetselportal/Suche/erweitert.php?tag_id=9315

If you want to tag your puzzle with "Parity (Theme)" you can do that in the editing tools under 'Additional tags'.

Difficulty:3
Rating:N/A
Solved:6 times
Observed:2 times
ID:000MCR

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Solution code:

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