Logic Masters Deutschland e.V.

The Rules:

1. [Sudoku]: Normal sudoku rules apply -- fill every row, column, and 3x3 box with the digits from 1 to 9 once each.
2. [Dynamic Fog]: Entering enough correct digits in cells will reveal more of the puzzle.
3. [Complements]: A pair of 2-digit numbers read from left to right are circled. This pair of numbers must add to 90. Each time the fog clears, another pair will appear - each time summing to 90.
   
4. [Standard Sudoku Variants]: Some (but not all) of the following standard variant sudoku rules may appear:
   1. [Killer] Digits in a killer cage must sum to the total given in the upper right corner.
   2. [Lines] Standard line rules will apply for some common line variants that may appear such as:
      • Renban - the digits on the line form a set of consecutive numbers
      • Entropic - any three digits on the line cycle through the sets {123},{456}, and {789}
      • Modular - any three digits on the line cycle through the sets {147}, {258}, {369}
      • German whisper - any two adjacent cells on the line have a difference of at least 5
      • Dutch whisper - any two adjacent cells on the line have a difference of at least 4
      • Parity - any two adjacent cells alternate between odd and even
   3. [Pairs]: Standard pair rules will apply for some common pair variants that may appear such as:
      • XV - cells separated by X sum to 10 and cells separated by V sum to 5
      • Kropki - cells separated by a white dot have a difference of 1 and cells separated by a black dot have a ratio of 2:1

The Puzzle:

Try it on Sven's Sudokupad