Normal Sudoku rules apply: Fill the grid with digits 1 to 9 appearing once each in every row, column, and 3x3 box.
Modifying Loop: Draw a single 1-cell-wide loop of orthogonally connected cells into the grid. The loop must fulfill the following rules:
- Different loop segments cannot touch, not even diagonally.
- Each set of three adjacent cells along the loop must consist of exactly one "Incrementer", one "Decrementer", and one "Nullifier" cell.
Magic Squares: The three highlighted boxes (boxes 1, 6, and 7) must be valid magic squares. I.e., the sums of the values in each row, each column, and both main diagonals are identical.
Killer cages: The values of all caged cells must sum to the small number given. Note: the cages in boxes 1, 6, and 7 each add up to either 20 or 25. Their sum can be different or the same, and must be determined by the solver.
Kropki dots: Cells connected by a white dot contain consecutive values.
Modifiers: For a cage sum, a Kropki comparison, or a Magic Square sum, digits in a "Incrementer" are increased by 1, digits in a "Decrementer" are decreased by 1, and digits in a "Nullifier" are counting as 0.