Case 1: Frodo can get to Mount Doom in 3 moves.

Case 2: Frodo cannot get to Mount Doom.

Case 3: Frodo can get to Mount Doom in 7 moves.

Case 4: Frodo can get to Mount Doom in 3 moves.

Case 5: Frodo can get to Mount Doom in 79 moves.

Case 6: Frodo cannot get to Mount Doom.

Case 7: Frodo can get to Mount Doom in 79 moves.

Case 8: Frodo cannot get to Mount Doom.

Case 9: Frodo can get to Mount Doom in 7 moves.

Case 10: Frodo cannot get to Mount Doom.

Case 11: Frodo can get to Mount Doom in 7 moves.

Case 12: Frodo cannot get to Mount Doom.

Case 13: Frodo can get to Mount Doom in 17 moves.

Case 14: Frodo can get to Mount Doom in 7 moves.

Case 15: Frodo cannot get to Mount Doom.