Logic Masters Deutschland e.V.

Gone Fishing

This puzzle is based on the mod3 line ruleset. If you have not yet done so, I recommend getting familiar with the ruleset through the simpler Mod3 Maze puzzle (available through the link for my other sudokus below).

Rules:

1. Standard: Normal sudoku rules apply.

2. Standard killer: Digits in cages must sum to the small clue in the top left corner of the cage.

3. Kropki without negative constraint: Cells separated by a white dot are consecutive. Cells separated by a black dot have a ratio of 1:2. All possible dots are not given.

4. Little killer: Clues outside the grid give the sum of the digits along the indicated diagonal, which may include repeated digits if permitted by other rules. Instead of the sum, the mod3 remainder of the sum may also be given; in this case, the remainder of the sum divided by 3 must be the indicated value. (For example: 29 is not divisible by 3, but 27 is. The remainder is 29-27=2).

5. NEW: Mod3 dots: Cells connected by a green dot must have the same mod3 value (for example: 3-6, or 1-7). Cells connected by a red dot must have different mod3 values (for example: 3-7). All possible dots are not given.

6. NEW: Mod3 line: Lines in the grid are mod3 lines.

Each mod3 line has a repeating 3-cell pattern of mod3 residuals of the cells along the line. This means that every third cell along the line is from the same mod3 group:

Group 1 (yellow): 1, 4 and 7, all having a mod3 of 1.

Group 2 (red): 2, 5 and 8, all having a mod3 of 2.

Group 0 (green): 3, 6 and 9, all having a mod3 of 0.

The sequence in which the groups repeat along the lines may differ between lines.

For clarity: Any digit on the line cannot have another digit from the same mod3 group within 2 cells to either direction on the line.

The following are valid examples of mod3 lines:

The following is an example of an invalid mod3 line. The fourth digit along the line (6) should be from the same mod3 group as the first digit (4), but it is not. Valid numbers for the fourth cell would be 1 or 7, or even 4 if the line is arranged in such a way that it would not violate the rules of sudoku.

There are no other restrictions on the lines. Digits may repeat along the mod3 line if allowed by other rules.

Solve Online (F-puzzles) :

I hope you enjoy the puzzle. Feel free to leave comments.

Try also my other Sudoku puzzles