Logic Masters Deutschland e.V.

There's no denying that the Rat Run series ranks among the coolest puzzles I've ever solved. If you haven't had the chance to try it yet, I highly recommend that you do!

While traveling through those mazes is incredibly enjoyable, an emptier grid is much more my style. I sincerely hope you enjoy this piece of cake!

Rules:

• Sudoku: There are two overlapping 6x6 Sudoku grids that share one common cell. Normal Sudoku rules apply to each grid individually: place the digits 1-6 in every row, column, and 2x3 box without repetition.
• Rat Run: The rat must reach the cupcake by finding a path through the grid. The path must not visit any cell more than once, cross itself, or pass through any red walls.
  As well as moving orthogonally, the rat 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.
• Teleports: Entering a teleport will cause the rat to be instantly transported to the matching coloured teleport. From there she can continue her journey. Matching teleports always have identical digits, but teleports that don't match always have different digits.
• Fibonacci Line: The digits along the rat's path form a modulo-6 Fibonacci sequence, starting with 1 and then 2.
  Specifically:
  The first cell on the path contains the digit 1.
  The second cell on the path contains the digit 2.
  The Nth cell on the path contains the digit f(N), where f(N) = [f(N-1) + f(N-2)] mod 6, with f(1) = 1 and f(2) = 2.
  If f(N) calculates to 0 (i.e., divisible by 6), the digit 6 is placed in the cell.
  The whole sequence is shown near the grids, in reading order.
  If the rat's path passes through a pair of teleports, the digits in these two cells are considered ADJACENT along the path.

Play on SudokuPad

(If the emojis don't display correctly in your browser, please kindly refer to the image above. I'd also really appreciate any advice on how to fix this technical issue!)