Logic Masters Deutschland e.V.

• Pick your favorite cell on the grid and write it down or mark it in some way.
• Place the digits 0 to 9 once each in every row, column and "box" delimited by thick lines.
• The grid is toroidal:
  • Each edge of the grid is considered to be adjacent/orthogonal to its opposite edge. (For example, r3c1 is considered orthogonally adjacent to r3c9.)
  • Boxes wrap around opposite sides of the grid.
  • Diagonals wrap around opposite sides of the grid. (For example, a diagonal going through the NW corner of r4c1 would wrap to a diagonal entering r3c9 from its SE corner.)
• Mirror Yin-Yang:
  • Divide the grid into two orthogonally connected regions such that no 2x2 area is completely contained in a region and no 2x2 region makes a checkerboard.
  • Regions wrap around opposite sides of the grid.
  • All cells in one region will have a value of 9-D, where D is the digit on the cell, and all cells in the other region will have a value of D.
  • Please make sure your favorite cell is on the region that gets the 9-D value.
  • Cells marked with a circle have a value equal to the count of the other (up to 8) neighboring cells that are in the same region.
  • Cells marked with a square have a value equal to the count of the (up to 8) neighboring cells that are in the other region.
• Diagonal Decimal Full Rank:
  • There are 76 possible diagonals starting at an edge of the grid. Reading the (infinite) values in the direction of a diagonal describes a decimal number between 0 and 1. (For example, if the values along a diagonal are 123456789... then the described decimal number is 0.123456789...)
  • Red clues outside the grid show the rank of the pointed diagonal among the 76 numbers ordered non decreasingly.
  • Blue clues outside the grid show the difference between the ranks of the two pointed diagonals.
  • If two or more numbers are tied, their rank is the lowest of them.
• Adjacent cells along a yellow line have values with a difference of at least 6.

Online in Sudokupad

See also:

• call me a livid pro-funk reject
• a changed man
• the three utilities problem
• a fullish errand