This achievement requires you to complete Episode 9. Here are the list of moves in correct order:
Level 9-1: L, D, R, D, D
Level 9-2: L, D, R, L, D, R, D, U, D, L, U, L, R, D, L, U, L, L
Level 9-3: L, D, L, L, L, L, L, U, U, L, L, L, L, L, L, D, L, R, U, U
Level 9-4: R, U, L, U, U, R, R, U, R, D, U, L, L, L
Level 9-5: D, D, U, U, U, R, U, R, L, D, R, D, L, D, L, D, L, U, U, R
Level 9-6: D, L, D, L, L, R, R, R, R, R, R, U, L, R, R, R, L, U, R, D, D
Level 9-7: L, U, U, R, L, D, D, U, U, L, U, R, R, L, R, U, L, L, L, U, D, R, U, D, L, L, D, R, R, R, R, D, R, U, R
Level 9-8: D, U, L, D, D, U, D, L, L, L, L, L, U, U, D, L, U, U, U, U, U, R, D, L, U, R, L, R, L, L, L, L, L, L, D, D, D, U, R