
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
Below is a portion of the graph of a function, \( y = F(x) \):

\[ F(x) = \sqrt{\left| x - 1 \right|} + \left( \frac{10}{\pi} \right) \arctan(\sqrt{\left| x \right|}) \]

Determine the integer value of \( F(2) \).

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