Logic Masters Deutschland e.V.

Thanks to ThePedallingPianist for testing this puzzle.

• Normal sudoku rules apply.
• Doppel-Dög loop:
  • Draw an orthogonal non-branching closed loop that doesn't cross or touch itself, not even diagonally.
  • The loop "starts" at the cell marked with the dog and is considered to be oriented in the direction indicated by the arrow (i.e. r1c9 and r1c8 are in the loop).
  • A cell in the loop with a digit D will have a value equal to the cell D steps away along the loop in the orientation given by the arrow.
  • Cells not on the loop will have a value equal to the digit in them.
• Adjacent digits (not values) along the loop must have a difference of at least 5.
• Full Rank:
  • Values on columns and rows, read in both directions, make a total of 36 nine-digit numbers.
  • Clues outside the grid show the rank in ascending order among those 36 numbers for the indicated column or row in the direction of the cell.
  • Lowest number has rank 1 and highest number has rank 36.
• Cells marked with a circle are not part of the loop and have a digit that equal to the count of the, up to 8, neighboring loop cells.
• Cells joined by a ball have the same value.

Online in Sudokupad

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