Logic Masters Deutschland e.V.

I really enjoyed creating Equality Cages 141: Deconstruction, so I figured I'd give Shifter Lines a go as well. The previous puzzle in the series:
Shifter Lines 118: Hot Arrows

All my series:
Equality Cages
EquaLite Cages
Shifter Lines
Shifter Dots



Rules:
Deconstruction: Place 9 non-overlapping 3x3 boxes in the grid. Fill each cell in a box with a digit from 1-9 such that digits don't repeat in rows, columns or boxes.

Non-region cells: Non-region cells are empty but for clue purposes have an "invisible digit" equal to either their row or column number (up to 9). Invisible digits may repeat in rows and columns.

Shifter lines: Adjacent digits within the same box on a shifter line share both parity (even/odd) AND polarity (low/high). Whenever the line crosses a box border either the parity OR the polarity shifts, never both. Shifter lines can never have 5 on it. Digits may repeat on lines. Shifter lines may at most go through 2 non-region cells before having to enter a new region, and both those cells must share both parity and polarity.

Kropki dots: A black dot between cells indicates cell values with a 2:1 ratio. A white dot between cells indicates cells with consecutive values. Not all dots are shown.

XV: Adjacent cells connected with an X must sum to 10. Adjacent cells connected with a V must sum to 5. Not all X's or V's are shown.

For the solution check to work all non-region cells need to be empty!

Solve here:
Sudokupad