RAT RUN 17: Trapdoors

Normal sudoku rules apply.

AIM OF EXPERIMENT: Finkz the rat must reach the cupcake by finding a path through the maze. The path must not visit any cell more than once, cross itself, or pass through any thick maze walls.

As well as moving orthogonally, Finkz 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.

TRAPDOORS: Each rectangular trapdoor has a different total (the sum of its two digits.) Finkz should not step on a trapdoor without first locking it shut, making it safe to cross.

BUTTONS: To make it safe to step on a trapdoor, Finkz must first press all the circular buttons that match the colour of the trapdoor. A digit on a coloured button indicates how many buttons of that colour contain that digit.

TEST CONSTRAINT: In this experiment, the correct path will be entropic, ie; every group of 3 adjacent cells along the path must contain one low digit (1, 2 or 3), one medium digit (4, 5 or 6) and one high digit (7, 8 or 9).