Equality Cages 141: Deconstruction

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.

Equality cages: Cages must have an equal number of low (1,2,3,4) and high (6,7,8,9) digits AND an equal number of even (2,4,6,8) and odd (1,3,7,9) digits. Equality cages can never contain 5. Digits (invisible or not) may not repeat in a cage.

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!