Logic Masters Deutschland e.V.

This is the first puzzle in the Black Hole series. I'd love to hear your thoughts about the puzzle.

Thanks to Mark V and Darth Paradox for testing and feedback.

Black Hole Series

1. Tachyons and Black Holes (Ransk Solve)
2. Quasar Accretion Disc (Ransk Solve)
3. Corotating Photon Sphere (Ransk Solve)
4. Information Paradox
5. Manifold Paths
6. The Colour out of Space

Intro to Black Hole Series

1. Intro to Black Holes, Part I
2. Intro to Black Holes, Part II
3. Intro to Black Holes, Part III

The ruleset for Black Hole puzzles is lengthy and contains several interconnected constraints. Consider doing the puzzles in the Intro to Black Holes series to become familiar with the black hole logic for individual constraints first.

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

Rules:

Normal sudoku rules apply.

Place nine "black holes" and nine "white holes" in the grid, such that there is one hole of each type in every row, column, and box. Black and white holes cannot occupy the same cell. Digits cannot repeat within holes of the same type. Black holes have a value of zero and white holes have a value equal to double their digit.

Standard killer cages. Values in a cage sum to the clue in the top left corner of the cage. Digits cannot repeat in a cage (though values can). Killer cages must contain an equal number of black and white holes (the number may be zero).

Teleporting little killers. Clues outside the grid with arrows are the sum of the values along the pointed diagonals. Little killers will teleport *from* any black hole they visit *to* the white hole with the same digit (and never in the other order), where they continue in their pointed direction. The sum includes all visited holes. Little killers must visit an equal number of black and white holes (the number may be zero).

Hole sandwich clues. Clues outside the grid without arrows are the sum of the digits between the black and white holes in the row or column.

Comments are always welcome. Have fun!

Streamers have permission to use this puzzle. Recommended betting cell is r5c5.

Play in SudokuPad

Playable Example:

The following images show a playable example and its solution. In the completed grid I have shaded the black holes with purple and the white holes with yellow. I have also drawn the path of little killers that teleport with colored lines.

Play Example in SudokuPad