Parity Loop Quest #11
(Published yesterday, 13:37 by Vythic)
Normal sudoku rules apply.
Parity Pivot Loop: Form a one-cell-wide loop that moves through the grid orthogonally. The loop does not touch itself, not even diagonally. A loop cell is an odd digit if the loop moves straight through it, and is an even digit if the loop does a 90 degree turn at its location.
Loop Region Sum Lines: Every three consecutive cells along a blue line contain exactly one loop cell and two non-loop cells. Box borders split blue lines into segments of equal sum.
Loop Renban Lines: There is exactly one loop cell on each pink line. A pink line contains a consecutive set of digits in any order.
Loop Dots: Cells separated by a black or white dot are either both loop cells, or neither are loop cells. Digits separated by a black dot have a 1:2 ratio. Digits separated by a white dot are consecutive.
Loop Cages: The sum of digits in a cage is equal to how many odd loop cells are in the grid.
Example of a valid loop shape (the white cells inside the loop cannot be cut off from each other, and a 2x2 block of cells cannot all be loop cells):
(Puzzles throughout this series use the same loop rules, and visually identical elements have the same meaning).
Solution code: Row 9
Comments
today, 01:50 by philolologue
This was brilliant. For some reason the loop solved itself intuitively in the first minute or two, and then it was a breathless 48 min solve from there, never too difficult, just straight fun all the way through! Would def rate it no more than 3 stars for difficulty tho, give it a try! And thank you/kudos, Vythic!
yesterday, 22:01 by wuc
Tough Addition to the series. To me 4*. Great fun every minute thx.
yesterday, 20:24 by amirs
I've been enjoying this series a lot, thanks! I like how the lines and dots force the loop and usually the sudoku part in the end goes rather smoothly. This time I was able to draw most of the loop quickly but had to work hard for each digit until it eventually collapsed.
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Vythic: TY very much!
