I am very proud of this puzzle and the solve path I managed to construct. I hope you have as much fun solving as I had constructing!
Rules:
Normal Sudoku rules apply. Place the digits 1-9 once each in every row, column, and box.
Draw a one cell wide loop that can travel both orthogonally or diagonally between adjacent cells. The loop cannot visit any cell more than once and the loop cannot self-intersect in any way. All pairs of values along the loop form unordered pairs (e.g. 1 then 7 is equivalent to 7 then 1). The loop must contain all possible unordered pairs and the loop cannot contain any repeated pairs unless permitted by one of the following rules. For example, if a segment of the loop read 123421 then it would contain the unordered pairs 12, 23, 34, and 24, plus an additional repeated 12 pair.
Part of the loop is given by the grey line.
The loop must pass over all blue circles and black dots (going between the two cells that the dot adjoins). Pairs that pass over blue circles or black dots must be repeated pairs.
The loop cannot contain cells that are part of any cage.
Digits may not repeat within a cage. Digits in a cage sum to the total in the top-left corner (if given).
Digits along a pink line form a set of non-repeating consecutive digits in any order.
The cells with blue circles also form a set of non-repeating consecutive digits.
One digit on a black dot is double the other.
Good luck and have a fun solve!
Solution code: Rows 3 and 4
on 19. November 2025, 04:07 by FIT7Y
When I first released this puzzle I ended up dissatisfied with how it ended. So I decided to rework a few clues, and I am now very pleased with the revised clues and the solve path they provide.
on 4. November 2025, 07:37 by FIT7Y
I realized I could remove a rule because it was a natural extension of the implications from the other rules and therefore didn't need to be explicitly stated.
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