Logic Masters Deutschland e.V.

Recently, Scojo and Hatgurl organized a setting challenge where setters created a pair of puzzles - one in their own style, and one "secret imposter" puzzle in the style of another participant. The setter-imposter pairs were chosen at random by the organizers, ensuring that each setter was impersonated by someone else. This is the puzzle I set in my own style, using the standard black hole ruleset.

Completing this puzzle involves: shading some cells, doing killer cage and little killer sum logic with double-value and zero-value cells, and doing modified sandwich sum logic.

Rules:

• Sudoku: Place the digits 1-9 once each in every row, column, and box.
• Black Holes (Nullifiers): Place nine black holes, one in each row, column, and box. Digits may not repeat on black holes. For the purposes of the clues in this grid, black holes have a value of zero.
• White Holes (Doublers): Place nine white holes, one in each row, column, and box. Digits may not repeat on white holes. For the purposes of the clues in this grid, white holes double the value of a cell.
• White holes and black holes never share the same cell.
• Killer Cages: Digits in cages cannot repeat (though values can). Values within a cage sum to the clue in the top left. A killer cage must contain an equal number of black and white holes, but that number may be zero.
• Teleporting Little Killers: Clues outside the grid with arrows are teleporting little killers. They give the sum of digits along a diagonally-traveling path starting in the cell pointed at by an arrow. This path only ends when it reaches an edge of the grid. When the path enters a black hole cell it teleports to the white hole cell with the same digit maintaining the direction of travel of the original path and including the value of both holes in its sum. The path must visit the same number of black and white holes, but that number may be zero.
• Hole Sandwiches: Clues outside the grid without arrows give the sum of the digits between black and white holes in the indicated row or column, not including the values of the black and white holes in the sum.
• A ? in a clue represents any digit 1-9.
• A Letter clue represents any integer sum, including double digit numbers. Clues with the same letter have the same value. Different letters represent different values.

Streamers have permission to use this puzzle.

Play in SudokuPad