
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
The robot can complete at most the following two steps according to the instructions on the plane: first, from the origin $O$ in the direction of east-north by $\alpha \left(0^{\square} \leq \alpha \leq 90^{\square}\right)$ for a certain period, and then walk in a north direction for a certain period. However, the exact time to change direction is not fixed. Assuming that the robot's walking speed is 10 meters per minute, what is the possible range of the robot's position after walking for 2 minutes in square meters?

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