Logic Masters Deutschland e.V.

Hi everyone. Here is the 4th part of the series inspired by the album "Everywhere at the End of Time" by The Caretaker. I hope you like it.

Rules:

1. Normal sudoku rules apply. In every row, column and outlined 3x3-box, each of the digits from 1 to 9 has to be drawn in exactly once.
2. German Whispers: Along a green line, adjacent digits differ by at least 5.
3. Region Sum Lines: 3x3 box borders divide a blue line into segments with the same sum. There are only 2 blue lines in this puzzle and they may have different sums.
4. Nabner Lines: Along a yellow line, no two digits may be consecutive or equal.
5. 2-String Lines: Along a black line, the sum of the digits from one end to a 2 on the line must not be a multiple of 3 or 5. For example, valid fills for a black line are:

• 371, because it does not contain any 2s.
• 236, because the sum to the 2 from the left is 2, and from the right is 11, which are not multiples of either 3 or 5.
• 6292. For the first 2 the sums are 8 and 13, and for the second 2 the sums are 19 and 2.

The following would NOT be valid fills:

• 235. Although from the left it adds up to 2, the sum from the right is 10, which is a multiple of 5.
• 942. The sum from the left is 15, which is a multiple of both 3 and 5.
• 24125. Although for the first 2 the sums are valid: 2 and 14, for the second 2 the sums are 9 and 7, and 9 fails because it is a multiple of 3.

6. Black dots: Digits joined by a black dot are in a 1:2 ratio.
7. Blue Dots: Digits joined by a blue dot are in a 1:3 ratio.
8. Green Dots: The 6 digits on the green line add up to a total of x. A pair of digits joined by a green dot must add up to a factor of x.
9. Square: The cell with the gray square contains an even digit.

Solve on SudokuPad

Have fun solving!