Logic Masters Deutschland e.V.

This puzzle is (obviously) inspired by the fantastic RAT RUN series by marty_sears. Blame Grimi for stealing the idea—she’s a rat, after all!

It's also my third experiment with those multi-restricted lines (Part1, Part2). I'm not sure about the difficulty, but I expect this one to be the hardest of the three.

Eek, what a night! Grimi the rat barely escaped an undead cat, only to find herself lost in mad Dr. Schrödinger’s lab. Can you help her find the exit?

Rules:

• Normal Sudoku rules apply.


• Standart RAT RUN RULES apply: Grimi the rat must reach the hole 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, Grimi 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.
  Grimi may only pass directly through a purple arrow if moving in the direction the arrow is pointing.
  An arrow always points to the smaller of the two digits it sits between.


• SCHRÖDINGER LINE EMITTERS: Scattered around the lab are colored line emitters. The path segment connecting two Emitters (including the emitter cells themselves) must follow the rules of both emitters (see below). The emitters at both ends of a segment must have different colors.
  Clarification: The two segments extending from a single emitter are considered independent lines (For example, a digit may appear on both sides of a renban emitter without violating its rule). The segments extending from a region sum emitter may have different sums.

EMITTER RULES:
• RENBAN (purple): The line contains a set of consecutive digits (not necessarily in order).
• NABNER (yellow): No two digits are consecutive, and no digit repeats.
• MODULAR (teal): Every set of three consecutive digits must include one digit from {1,4,7}, one from {2,5,8}, and one from {3,6,9}.
• ENTROPY (peach): Every set of three consecutive digits must include one digit from {1,2,3}, one from {4,5,6}, and one from {7,8,9}.
• REGION SUM (blue): The sum of the digits on the line is the same in every 3×3 box it passes through. The line has to cross at least one box-border.
• TEN SUM (gray): The line can be divided into one or more non-overlapping segments that each sum to 10.