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 r3c10.)
  • 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 r3c10 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. (i.e. the lowest number(s) have the rank 1, and the highest number, if not tied, has the rank 76.)
  • 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. (For example, if numbers 20 21 22 are tied, we say there are three numbers in rank 20 and the next rank will be 23, i.e. the ranks would go ⋯, 19, 20, 20, 20, 23, ⋯)
  • The letters x and z stand for integer numbers.

Online in Sudokupad

See also:

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