Logic Masters Deutschland e.V.

This is the third installment in my "Territories" puzzle series. I really appreciate the support that the first two puzzles received, and I highly recommend checking them out either before or after solving this one if you enjoy this style.

I would love to see one of these puzzles featured on the CTC YouTube channel, so if you genuinely enjoy this puzzle, I would greatly appreciate it if you recommended this or another puzzle in the series to the channel.

Hope you enjoy!

Play the sudoku here:

Sudoku Pad

Rules:

Sudoku rules apply: Fill the grid with digits 1–9, so that each digit appears exactly once in every row and column.

Create regions consisting of orthogonally connected cells. Each region contains exactly one circle and every circle belongs to a region. The number inside the circle indicates the size of its region. No digit may repeat within a region, and the sum of all digits within a region must be a square number (1, 4, 9, 16, etc.). Not all cells are required to belong to a region.

Cages outlined by dotted lines do not belong to regions and must also sum to a square number.

Dots and Symbols Between Cells:
White dot: The two digits are consecutive.
Black dot: The two digits have a 1:2 ratio, i.e., one digit is double the other.
Blue dot: The two cells belong to different regions. Note that both cells must still belong to a region.
Not all possible dots or symbols are provided.

The arrow outside the grid gives the sum of the digits along the diagonal in the arrow’s direction.

Example Completed Puzzle with this Ruleset:

View my other puzzles in this series:

1. Consecutive Territories (5/5 Difficulty):
   Solve on Logic Masters
2. Non-Consecutive Territories (5/5 Difficulty):
   Solve on Logic Masters

Any feedback is welcome!