Logic Masters Deutschland e.V.

Recently, Scojo organized a setting challenge where setters created puzzles with outside clues which normally look straight across a row or column look diagonally instead (with a bonus for orthogonal little killers). This is the puzzle I set using the standard black hole ruleset, but with the outside clue types rotated thusly.

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.
• Orthogonal Teleporting Little Killers: Clues outside the grid with arrows are orthogonal teleporting little killers. They give the sum of values along an orthogonally-traveling path starting in the cell closest to the clue. 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.
• Diagonal Hole Sandwiches: Clues outside the grid in pointing squares give the sum of values between a black hole and a white hole in the indicated diagonal direction. The sum does not include the bounding holes. If there are more than one black or white hole along that direction, the solver must determine which black hole and which white hole to sum between.
• A Letter clue represents any integer value, including double digit numbers. Letters clues are given in ascending order: A < B < C < D < E < F.

Streamers have permission to use this puzzle.

Play in SudokuPad