Oil-Water Loop
(Published on 10. August 2024, 02:23 by yttrio)
Rules:
Normal Sudoku rules apply.
Digits separated by a white dot are consecutive. Digits separated by a black dot have a ratio of 2:1. Not all possible dots are necessarily given.
Draw a one-cell-wide loop of orthogonally connected cells. The loop may not touch itself, not even diagonally.
-- The loop must enter at least one cell of every given dot.
-- Oil-Water: Even digits on the loop are "oil", and odd digits on the loop are "water". Every horizontal loop segment is either all oil or all water. Oil floats on water, so for every vertical loop segment, even digits will always be in rows above odd digits. Note that if there are multiple loop segments in a row, that row may contain both even and odd loop digits.
6x6 Example:
The image below shows a sample 6x6 puzzle and solution with the same rule set.
Play the example 6x6 in SudokuPad.
Solution code: Digits on the loop in row 4 (left to right) followed by digits on the loop in row 7 (left to right)
Comments
on 14. August 2024, 05:09 by cybers
Great fun, loved a couple of the dots in particular :)
on 13. August 2024, 09:58 by puzzlepandit
Enjoyed this one.
on 11. August 2024, 07:35 by waffles_the_dog
This had a nice solve path, surprisingly easy for yttrio :D
on 10. August 2024, 03:51 by sorryimLate
Interesting loop variant. 2* Thanks!
