Difficulty: Easy
Correct Answer: South
Explanation:
Introduction / Context:
Direction-sense puzzles often give a sequence of turns and ask you to infer either the final facing or, as in this case, the original facing. The key is that relative turns (left/right) are applied to the current facing, so some sequences can cancel out and reveal the starting orientation.
Given Data / Assumptions:
Concept / Approach:
Track only the facing directions. A left turn followed by a right turn returns you to the original facing. Therefore, if the last leg is to the South, the original facing must also have been South.
Step-by-Step Solution:
Let the initial facing be F0.After a left turn: facing becomes Left(F0).After a right turn from there: facing becomes Right(Left(F0)) = F0.Given that the last leg heads South ⇒ F0 = South.
Verification / Alternative check:
Test with concrete compass starts (e.g., start South → left = East → right = South). The last leg indeed points South, matching the statement.
Why Other Options Are Wrong:
Common Pitfalls:
Tracking positions instead of facings; overcomplicating with coordinates when only orientation matters.
Final Answer:
South
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