This Sudoku variant is a twist on Kropki Pairs Sudoku using a ratio of 1:3 instead of 1:2 and a difference of 5 instead of 1. It was popularised by Tyrgannus and this puzzle was written during a period when I was struggling to have ideas for puzzles and decided to create a few puzzles using other authors' "signature" variants. Solves in this variant have a very similar feel to Kropki Pairs, but the slightly different nature of the adjacency graphs mean that there is some prototypical logic that often characterises Gamma and Epsilon solves, and I've done my best to showcase that here.
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Rules
Place a number from 1 to 9 into each empty cell so that every row, column, and bold-outlined region contains every number exactly once.
If two cells are separated by a black circle then they must contain numbers that are in a 1:3 ratio. If two cells are separated by a white circle then they must contain numbers with a difference of 5.
Difficulty: 6/10
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