Normal sudoku rules apply. Each thick grey line can be divided into one or more non-overlapping segments. Each segment contains digits that sum to 10. Eg 513173 is a valid fill for a length 6 line, because it can be broken into 5131 and 73, each of which sum to 10. Digits on a purple line form a set of non-repeating, consecutive digits. These digits can appear in any order. Digits along a thin grey line connecting two circles must have values between the digits in the circles. Eg if the two circles at a line’s ends contain 3 and 8 then digits on the line itself must be selected from [4567]. Digits separated by a black dot have a 1:2 ratio, meaning one digit is exactly double the other. Not all dots are necessarily given.