
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
Aaron the ant walks on the coordinate plane starting at the origin $p_0=(0,0)$ facing to the north this time. He walks one unit to arrive at $p_1=(0,1)$. Following this, for $n=1,2,3,\dots$, right after reaching $p_n$, if Aaron can turn $90^\circ$ right and move one unit to an unvisited point $p_{n+1}$, he does that. Otherwise, he walks one unit straight to reach $p_{n+1}$. The sequence of points continues in a clockwise spiral pattern. Determine the coordinates of $p_{2015}$.
A) $(22, 57)$
B) $(-57, 22)$
C) $(57, -22)$
D) $(22, -57)$
E) $(-22, -57)$

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