Logic Masters Deutschland e.V.

Descent into Bifurgatory

• Normal 9x9 sudoku rules apply.
• Hell cells: There are 9 hell cells in the grid, containing the numbers 1-9 once each. Each row, column and box contains exactly one hell cell. The hellgates in R2C1 and R8C9 are hell cells.
• Descent into bifurgatory: Draw an orthogonally moving line starting at one of the purple hellgates, and ending at the other. It must visit every box exactly once, and pass through all hell cells in descending order. It may not cross over orange lava pits, branch, or cross itself. The path functions both as a zipper line, and a region sum line. I.e.: Digits an equal distance from the center of the path sum to the value in the center of the path. Box borders divide the path into segments with equal sums.
• Pet the dogs: All dogs in box 5 must be passed by the path, and no other cells in box 5 may be entered. One head changes the value of its cell to its favorite number. Which head and what favorite number is to be determined by the solver.
• Black kropki dots: One value on a black kropki dot is double the other.
• White kropki dots: The values on a white kropki dot differ by 1.

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Enjoy!