Logic Masters Deutschland e.V.

Hi everyone. Here is my new puzzle. I hope you like it.

Rules:

1. Normal sudoku rules apply: Each row, column and 3x3 box contains each digit from 1 to 9 exactly once.

2. Polyline: The amber line is divided by 3x3 box borders into segments each of which must have one of four constraints: German Whisper, Entropic, Modular and Arrow.

• Each segment has exactly one constraint and must not satisfy any of the other three.
• Along the amber line, adjacent segments must not have the same constraint.

3. Kropki:

• Digits joined by a white dot must be consecutive.
• Digits joined by a black dot must be in a 1:2 ratio (i.e. one is double the other).
• Not all dots are necessarily given.

4. Pro-Knight: For each digit from 1 to 9, there must be at least one instance where two cells containing that digit are a knight's move apart (as in chess).

5. The constraints along the lines are as follows:

• German Whispers: Adjacent digits must differ by at least 5.
• Entropic: Every set of three sequential digits contains one digit from each entropic set, i.e. one from {1,2,3}, one from {4,5,6}, and one from {7,8,9}. Digits on two-cell entropic lines cannot be from the same entropic set.
• Modular:Every set of three sequential digits must contain a complete set of residues modulo 3, i.e., one digit from {1,4,7}, one from {2,5,8}, and one from {3,6,9}. Digits on two-cell modular lines cannot be from the same residue set.
• Arrow: The segment contains a digit equal to the sum of all the other digits in the segment. It must be possible to circle the sum digit and draw an arrow from it that passes through the addend digits in sequence along the segment. For example, if the segment in box 7 is an arrow, its sum cannot be in r8c3, since the addend digits are not adjacent. If the sum is in any other cell in that segment, it would make the segment a valid arrow.

Solve on SudokuPad

Have fun solving!

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Here you can find the other puzzles in the series:

Polyline 1

Polyline 2

Polyline 3

Polyline 4

More polylines:

• gdc and ChinStrap's PolyLine Loop
• Scojo's Polychess Line
• Sotehr's N-tropy
• phil_the (hat)'s Racetrack