Normal sudoku rules apply. Each grey dot represents one of the following 4 constraints: a White Dot connects two consecutive digits; a Black Dot connects two digits with a ratio of 1:2; a V connects two digits that sum to 5; an X connects two digits that sum to 10. If a cell is connected to different cells via multiple grey dots, each such grey dot must have a different property in terms of which constraint it represents. Every single grey dot represents exactly one constraint (eg 2 and 3 cannot be connected via a grey dot, since the grey dot would be a valid white dot and a valid V clue). Not all possible dots are given.