Logic Masters Deutschland e.V.

Dynamic Fog: Placing correct digits may clear up fog somewhere in the grid.

Classic 9x9: Normal 9 by 9 Sudoku rules apply. Fill the grid so that each row, column, and 3 by 3 box contains the digits 1–9 exactly once.

Killer Cages: Digits within a cage must not repeat. The total is indicated in the upper-left corner of a cage, the digits within that cage must sum to that total.

White Kropki Dots: Digits separated by a white dot must be consecutive.

Black Kropki Dots: Digits separated by a black dot must have ratio 1:2 (One is double the other).

Setup: At the start, a coin is placed on an initial cell. This cell cannot be inside a cage and cannot be the "Win" cell (the bottom-right cell). All cells under the fog are part of a Killer Cage.

Turn Order: This is a two-player, turn-based game. Player 1 moves first.

Movement: A player may move the coin one cell downward, one cell to the right, or one cell diagonally (lower-right).

Constraints: The coin cannot enter any cell that is part of a Killer Cage. (For example, a coin at R2C2 can be moved to R2C3 or R3C3 but not R3C2; and a coin at R3C5 can be moved to R3C6 and R4C5 but not R4C6).

Winning: The player who moves the coin onto the "Win" cell wins the game.

Optimal Play: Assume both players play optimally. If the initial cell is a winning position for Player 1, the digit in that cell must be odd. If the initial cell is a losing position for Player 1, the digit in that cell must be even.

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