Logic Masters Deutschland e.V.

Normal sudoku rules apply. Place the digits 1–9, once each, into every row, column, and 3×3 box.

The following constraints have been placed, once each, into the puzzle:

• Arrow: Digits along an arrow sum to the number in the attached circle.
• Black Kropki dot: Digits in cells joined by a black dot are in a 1:2 ratio (i.e., one digit will be double the other).
• Killer: Digits in a black cage may not repeat and sum to the total given.
• Look-and-say: For red cages, read the clue aloud, which describes the nature of the cage. E.g., "1522" says "There are 1 five and 2 twos in the cage."
• Renban: Digits along a magenta line form a set of consecutive digits in any order.
• Nabner: Digits on an olive line cannot repeat, nor can they be consecutive with any other digit on the line.
• Between line: Digits along a line with circles on the ends of the line are strictly between the digits in the circles.
• Lockout line: Digits along a line with diamonds on the end of the line are not between or equal to the digits in the diamonds. Also, the difference between the values of the diamonds must be 4 or greater.
• Modular line: Every set of 3 digits along a teal modular line must contain a digit each from {1,4,7}, {2,5,8}, and {3,6,9}.
• Dutch whisper: Neighboring/adjacent digits along an orange line must have a difference of at least 4.
• German whisper: Neighboring/adjacent digits along a green line have a difference of at least 5.
• Multiple line: Neighboring/adjacent digits along a red line must have one digit as a multiple of the other.
• Thermometer: Digits along a thermometer increase from bulb to tip.
• Zipper: Digits an equal distance from the center of a lavender zipper line must sum to the digit in the center.

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