Logic Masters Deutschland e.V.

This is the fourth puzzle in the black hole series. It shares the complete ruleset of the first puzzle and adds Schrödinger cells. It continues to explore the black and white hole rules.

Thanks to cornishjohn, Clocksmith, Darth Paradox, joshjohnson, and Scojo, and 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

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

The addition of S-cells increases the complexity. Choose your notation carefully to track special cells.

Rules:

Normal S-cell rules apply. Place the digits 0-9 once each in every row, column, and box. Place one "S-cell" with two digits in each row, column, and box. An S-cell's value is the sum of its digits.

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 (a cell can have an S-cell and a hole). Digits cannot repeat within holes of the same type. Black holes have a value of zero. White holes have a value equal to double their digit(s).

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). A killer cage 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. A little killer will teleport *from* any black hole it visits *to* the white hole with the same digit (and not the other way), where it continues in the pointed direction. The sum includes the value of all holes on the path. A black hole with two digits creates two paths - sum each path separately. A path must visit an equal number of black and white holes (the number may be zero). An infinite little killer may not visit a white hole first.

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

Comments are always welcome. I'd love to hear your thoughts about the puzzle. Have fun!

Streamers have permission to use this puzzle. Recommended betting cell is r2c3.

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