Normal sudoku rules apply. Purple lines (“Renban”) contain a non-repeating set of consecutive digits in any order. Digits do not repeat in cages, and sum to the small clue in the top left corner if given. Digits along a thermometer must increase from the bulb to the tip. Digits in cells separated by a black dot have a 1:2 ratio ie one digit will be double the other. Along green lines, adjacent digits must differ by at least 5. Each constraint type may contain no repeated digits anywhere in the puzzle. E.g. ALL renban cells must contain no repeated digits, ALL cells connected by a black dot must contain no repeated digits etc.