Logic Masters Deutschland e.V.

This puzzle was set for the 2023 Secret Satan event as a gift to Nordy, who graciously encouraged me to publish it. He asked for Pentominous and Snake, so this was the most cursed ruleset combination I could think of.

Rules

• Pentominous (Overlapping): Divide the grid such that each non-black cell belongs to one or two pentominoes (i.e. overlapping). Pentominoes of the same shape, regardless of rotation or reflection, cannot overlap and cannot be orthogonally adjacent to each other. A cell with a letter indicates that it belongs to the pentomino of the corresponding shape, but can belong to an additional pentomino. Black cells are not part of the snake or any pentomino.
• Snake: Draw a snake that travels orthogonally through the grid from one endpoint (to be determined by the solver) to another. The snake cannot branch nor touch itself orthogonally, but may touch itself diagonally. The snake is entirely comprised of every cell that belongs to two pentominoes.

6x6 Example

Play this example on SudokuPad

The Actual Puzzle

Play on Penpa+ (Not recommended for solving, but has answer check. Shade the snake cells.)
Play on SudokuPad (Recommended for solving, no answer check)

The Twelve Standard Pentominoes, ignoring rotations and reflections