
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
Consider Bella the beetle, who moves similarly to Aaron the ant but with a small twist in the movement pattern. Bella starts at the origin \( p_0 = (0,0) \) facing north and moves one unit to start at \( p_1 = (0,1) \). For \( n = 1, 2, 3, \ldots \), right after reaching point \( p_n \), Bella will turn \(90^\circ\) right and move one unit to a new point \( p_{n+1} \), only if \( p_{n+1} \) is an unvisited point; otherwise, she moves straight ahead to reach \( p_{n+1} \). Hence, her sequence forms \( p_2 = (1,1), p_3 = (1,0), \ldots \) in a clockwise spiral pattern. Where is \( p_{2023} \)?
A) (21, 22)
B) (-22, 21)
C) (22, 21)
D) (21, -22)
E) (22, -22)

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