Logic Masters Deutschland e.V.

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PUZZLE:

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RULES:

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Normal Sudoku rules apply.

• Dutch Whisper (orange): Digits along each Dutch Whisper line must differ in value by at least four [4].
• German Whisper (green): Digits along each German Whisper line must differ in value by at least five [5].
• Killer: The value of digits within a cage must sum to the number in the top-left corner (if given) and digits must not repeat within a cage.
• Kropki (consecutive): White dots separate two cells containing digits of consecutive value (not all dots are given).
• Kropki (ratio): Black dots separate two cells where one is double the value of the other [ratio of 1:2] (not all dots are given).
• Thermometer: Digits along a thermometer must increase in value from the bulb to the tip.

Note: Kropki (ratio) and Kropki (consecutive) are considered two different constraints.

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MODIFIER:

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• Decay: For all of the above rule-set, a digit may only repeat in a clue of the same type if it is then reduced in value by some multiple of 2 (e.g. an 8 used within a Killer cage may only be used in additional cages if it is valued at "4", "2" or "1"; if used a third time, it must again contain a different value from previous). Each type of constraint maintains its own set of Decay values and no digit may represent a fractional value. It is up to the solver to determine the value of each digit (if relevant).

Note: If a cell connects to the same logical constraint, its value is considered affixed for that constraint and counts as one single appearance of that value for that constraint (e.g. if R2C3 is a 5, it is considered one appearance of the value 5, despite being connected to two different white kropki dots).

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INTRODUCTION:

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This puzzle was made as an introduction to a previous puzzle, entitled "Half-Life²". People seemed to have steered clear of the puzzle because of its apparent complexity, so I made this puzzle to help familiarize people with the ins-and-outs of the logic - it's manageable and rewarding once you get into it. This may actually rob a bit of the challenge from that first puzzle but if you'd like to tackle it afterwards, I'm sure you'll find it a much smoother solve.

An example puzzle will follow to better illustrate the rules (in the example, lines along a line must differ by a value of at least 2).

Have fun!

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Solve in f-puzzles!
Solve in SudokuPad!

Note: It is recommended you turn off the conflict checker during your solve (having a solution inputted provided unintentional spoilers during testing).

Solve in SudokuPad (with solution) ...beware of spoilers!