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Arithmancy

Answer: SPACIOUS

The flavor text makes it clear that you should be looking for shortest solutions. Fortunately, each of these 2048 puzzles has a unique shortest solution. These solutions trace out the letters, which spell out the answer.

L, D, R, D, L = S
U, R, U, L, D = P
U, R, U, L, D, R, D = A
L, D, R = C
U, U = I
D, R, U, L = O
D, R, U = U
R, U, L, U, R = S