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Direction remapping puzzle: determine the new label for “West” after rotation Mapping given: South-East → North, North-East → West, and similarly for other directions. Apply the same remapping rule to “West” and choose the correct new direction.

Q: Direction remapping puzzle: determine the new label for “West” after rotation Mapping given: South-East → North, North-East → West, and similarly for other directions. Apply the same remapping rule to “West” and choose the correct new direction.

Approach Encode 8 compass points as steps (N=0, NE=1, E=2, SE=3, S=4, SW=5, W=6, NW=7). Find the shift SE(3) → N(0) and NE(1) → W(6) both imply a shift of −3 steps (mod 8). Apply to West W(6) − 3 = 3 ⇒ direction 3 = South-East.

Difficulty: Easy

North-East
North-West
South-East
South-West

Correct Answer: South-East

Explanation:

Approach
Encode 8 compass points as steps (N=0, NE=1, E=2, SE=3, S=4, SW=5, W=6, NW=7).

Find the shift
SE(3) → N(0) and NE(1) → W(6) both imply a shift of −3 steps (mod 8).

Apply to West
W(6) − 3 = 3 ⇒ direction 3 = South-East.

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