Logic Masters Deutschland e.V.

Rules

• Divide the grid into three areas of orthogonally connected cells: a Masyu (Parity), a Tri-Place (Summation) and a U-Bahn (Summation).


• Masyu (Parity):
  • Draw a single non-intersecting loop that travels orthogonally through the centers of some cells in the Masyu area.
  • The loop may not enter the U-Bahn or the Tri-Place areas.
  • All grey circles must be on the loop.
  • The loop must turn on circles containing an even number and travel straight through the cells on either side.
  • The loop must go straight through circles containing an odd number, and turn in at least one of the cells on either side.


• Tri-Place (Summation):
  • Divide the Tri-Place area into regions of three orthogonally connected cells.
  • All cells in the Tri-Place area must belong to a region, and those regions may not enter the Masyu or the U-Bahn areas.
  • In each set of clues outside the grid, exactly one clue indicates the sum of values of all cells belonging to the Tri-Place area in the corresponding row or column.
  • Cells inside a rectangular region have a value of 1, while cells inside a non-rectangular region have a value of 2.


• U-Bahn (Summation):
  • Draw a totally connected loop network through the centers of some cells in the U-Bahn area, which may branch or turn, but may not have any dead ends.
  • The loop network may not enter the Masyu or Tri-Place areas.
  • In each set of clues outside the grid, all clues except the Tri-Place clue indicate the sum of values in a contiguous sequence of cells visited by the loop network.
  • Consecutive sequences must be separated by one or more cells not visited by the loop network, which could be in any area.
  • Values of cells on the loop network are determined as follows: corner = 1, straight line = 2, branch = 3, cross = 4.


• Each set of clues outside the grid is sorted in ascending order.


• Each set of clues outside the grid is complete, that is, there's always exactly one Tri-Place clue, and exactly one additional clue for each sequence of cells visited by the U-Bahn loop network in the corresponding row or column.


• Each letter represents a different non-negative integer, which may include zero. A question mark may represent any non-negative integer, including zero or two-digit numbers.

Example Puzzle (9x9)

• SudokuPad
• Penpa+

Main Puzzle (14x14)

• SudokuPad
• Penpa+