
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 $p_0 = (0,0)$ and facing east. He follows these rules: if he can turn 90° left and move one unit to an unvisited point $p_{n+1}$, he does so; otherwise, he walks straight ahead one unit. The distance he walks in each direction increases by two units after completing a full cycle of four directions. Where is Aaron after he reaches $p_{100}$?
A) $(10, 0)$
B) $(-10, 0)$
C) $(0, 10)$
D) $(0, -10)$

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