Logic Masters Deutschland e.V.

Warning! This is probably the hardest puzzle I've ever made.

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

Thanks to many people for inspiration, testing, and feedback.This puzzle wouldn't exist without their input.

Completing this puzzle involves: shading some cells, and doing region sum, German whisper, and renban logic with double-value, zero-value, and multi-digit cells.

The combination of S-cell and modifiers greatly increases complexity. Choose your notation carefully to track special cells.

Rules:

• Schrödinger Sudoku: Place the digits 0-9 once each in every row, column, and 3x3 box. One cell in each row, column, and box contains two digits. All other cells contain a single digit.
• Black : Place nine black holes, one in each row, column, and box. Digits may not repeat on black holes. Place nine white holes with the same rules. Place black and white holes in separate cells.
• For line clues, each cell has a value equal to the sum of its digits, modified as follows: black holes have zero value and white holes have double value.
• Region Sum Line: Cell values on a thin blue region sum line have the same total for each region the line enters. Different lines may have different totals.
• German Whisper: Adjacent cell values on a green German whisper line must differ by at least five.
• Renban: Cell values on a scintillating purple renban line form a set of consecutive non-repeating values in any order.
• Any line in the grid must have the same number of black and white holes (including zero holes).

Streamers have permission to use this puzzle.

Play in SudokuPad