The Great Escape

Normal Sudoku rules apply. Numbers on thermometers increase from the bulb end. Numbers with a white dot between them are consecutive. Numbers highlighted green are odd. Numbers highlighted red are even. You are a prisoner, starting in the center of box 5. When you escape, you must go straight if the number you are on is odd. You must turn, right or left, if the number you are on is even. You must travel through exactly 7 cells in each box, before moving to the next box, except the last box you must travel through 6 cells and then exit the puzzle. Once you leave a box, you cannot return to that box. The path is a single orthogonal path through all 9 boxes. No cell can be visited twice.