RAT RUN 29: Counterbalance

Normal sudoku rules apply.

AIM OF EXPERIMENT: Finkz and Phinx must both reach different cupcakes by finding a path through the maze. The paths must not visit any cell more than once, share cells, cross themselves or each other, or pass through any thick maze walls.

As well as moving orthogonally, they may move diagonally if there's a 2x2 space in which to do so, but may never pass diagonally through a round wall-spot on the corner of a cell.

ONE-WAY DOORS: A purple arrow may only be passed through in the direction it's pointing. An arrow always points to the smaller of the two digits it sits between.

REDCURRANTS: If a redcurrant sits between two digits, one is odd and the other is even.

TEST CONSTRAINT: In this experiment, any digit on Finkz' path indicates exactly how many times that digit appears on Finkz' path. The same rule applies separately for Phinx' path.