
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Alice the ant starts at the point \( p_0 = (0,0) \) on the coordinate plane facing north and moves according to a specific pattern: if possible, she turns 90° right and moves forward one unit to reach a new point \( p_{n+1} \); if not possible because the point has been visited, she moves one unit straight ahead. She starts by moving north one unit to \( p_1 = (0,1) \). Alice follows these rules, creating a clockwise spiral pattern. Determine the position of Alice \( p_{1500} \).
A) (34, 17)  
B) (35, -18)  
C) (17, -35)  
D) (-35, 18)

Present the answer in LaTex format: \boxed{Your answer}
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