Logic Masters Deutschland e.V.

Normal Sudoku rules apply.

Pink lines and yellow lines are "average lines". On an average line, the first and the last digit average to a whole number N. The second and the second to last digit average to the same number N. So do the third and third last and so on. If the line has a middle digit, then this digit is N. Digits can repeat on lines if allowed by standard Sudoku rules.

Valid examples: 35,24,135,258,2334,1245,12345,...

Invalid examples: 12 (N = 1.5 is not a whole number), 1247 (avg of 1 and 7 is not the same as avg of 2 and 4), 12845 (the middle digit should be 3 instead).

Digits in cages cannot repeat and sum to the total given in the cage. When an "O" is given, the sum of the caged digits is odd.

Not all lines and cages are necessarily given.

The break-in is rather hard, if one is not familiar with some advanced Sudoku concepts. I can guarantee, that everything can be done without bifurcation and without making lists of possibilities on a paper. The "math" hinted at in the title can be done without calculators. If you find yourself unable to get started, you can look at this CTC video featuring a puzzle called "Black Math" by Clover, which showcases very similar concepts and was the inspiration for this puzzle.

Have fun, leave a comment if you enjoy the puzzle!