Logic Masters Deutschland e.V.

Difficulty: Because of the number of constraints combined with ambiguity and unique constraint I gave this a 4/5. Purely based on single deductions it should be easier.

• Normal Sudoku rules: Place the digits 1-9 in each row, column and box, without repeats.
• Dynamic Fog: The grid is partially covered in fog. Placing correct digits will clear that cell and possibly reveal more clues. Guessing is not required and discouraged.
• Unique Constraints: Each of the following constraints may not have repeated digits on its clues. Bulbs and circles are considered part of the clue. E.g. if there is a 5 on a Renban line, any Renban line may not contain another 5. It does not restrict the placement of digits on other constraints, e.g. a Nabner Line or a Thermometer may still contain a 5.
• Ratio dots: On a black dot one digit is double the other.
• Thermometers: Digits on a Thermometer strictly increase from bulb to tip.
• Index Lines: The digit in the Nth cell along a line (starting from the circle) indicates the position along the line where the digit N appears. E.g. a 3 in the circle puts a 1 in the 3rd position.
• Between Lines: Digits on a line are strictly between the digits in the attached circles by value.
• Double Arrows: Digits on a line sum to the same total as the digits in the attached circles.
• Renban: Digits on a line form a set of consecutive, non-repeating digits, in any order.
• Nabner: No two digits on a line may be consecutive. Digits may not repeat on a line.
• Parity Lines: Any adjacent pair of digits on the line contains an odd and an even digit.
• German Whispers: Adjacent digits on a line have a difference of at least 5.
• Ambiguity: Line constraints form ambiguous pairs. It's your task to find the true nature of each line. Each line has one of the following labels:
  • TI: Thermometer/Index Line
  • BD: Between Line/Double Arrow
  • RN: Renban/Nabner
  • PW: Parity Line/German Whisper
  There is no negative constraint on ambigous pairs, so e.g. an index line may contain strictly increasing digits, circles of a between line may add to the same total as the digits on the line, and German Whispers may contain adjacent digits with different parity. Important is only that you can clearly label each line for the Unique Constraint.

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