Logic Masters Deutschland e.V.

Place the digits 0-9 once in each row, column and box. To enable this, there are 9 Schrödinger cells that contain two digits each. Their value is the sum of the two digits. Additionally, there are 9 negator cells. Their value is the negative of their digit.

Schrödinger cells and negator cells behave like stars in a starbattle puzzle, i.e., there is one of each in each row, column and 3x3 box. Stars cannot touch each other(even diagonally). Each cage contains exactly one star.

Each 3x3 box has a different number from 1 to 9 assigned to it. The 3x3 grid of boxes represents a magic square, i.e, each row, column and diagonal of the grid sum to the same total.

In a box, the assigned number is equal to the mean of the numbers in the box's cage(for example, if box 4 had the number 2 assigned to it, then (r4c3 + r5c3 + r6c3) / 3 would equal 2).

Additionally, the assigned number is the sum of the digits in a line(for example, if box 1 had the number 5 assigned to it, then r2c3 + r3c3 would equal 5).

This is the first puzzle I've ever made, hope you like it! Any feedback is much appreciated!