This puzzle is part of a small series of puzzle where I explore the kropki variant. The two warm up puzzles help you familiarize yourself with concepts you will need to solve the hardest and final puzzle in the series.
Rules: All normal sudoku rules apply. Additionaly, two cells separated by a grey circle must either have a ratio of 2 or a difference of 1 or both.
This puzzle is also available on f-puzzles
Solution code: Row 8 and Column 8
on 9. March 2021, 15:22 by SudokuExplorer
@Luigi: There is no negative constraint (not all dots are given).
on 8. March 2021, 15:56 by emmettcito
clarification of rules
on 8. March 2021, 15:53 by Mark Sweep
Nice one. One minor thing: because of the emphasis on the 'OR' in the rules, I initially thought it couldn't be both (which means a 1 would never be next to a dot). Luckily, this puzzle breaks quickly using that, but it might be worth clarifying for the harder puzzle.