Logic Masters Deutschland e.V.

This is the third puzzle in the Intro to Black Holes series. This puzzle brings all clues from the first two puzzles together. These four clue types (black and white holes, killer cages, teleporting little killers, and hole sandwiches) form the basic ruleset for Black Hole puzzles.

These puzzles are meant to be an approachable introduction to black hole puzzles. The rules might seem a bit daunting, but please give them a try!

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.
• Teleporting Little Killers: Clues outside the grid with arrows are teleporting little killers. They give the sum of digits along a diagonally-traveling path starting in the cell pointed at by an arrow. 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.
• Hole Sandwiches: Clues outside the grid without arrows give the sum of the digits between black and white holes in the indicated row or column, not including the values of the black and white holes in the sum.

Streamers have permission to use this puzzle.

Play in SudokuPad

If you feel up for trying puzzles from the main black hole series, you can find the links below. The main series is a step up in difficulty, but the puzzles in it use the familiar constraints developed here.