
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
Given that \(\theta_{1}, \theta_{2}, \cdots, \theta_{n}\) are all non-negative real numbers and satisfy the equation
\[
\theta_{1} + \theta_{2} + \cdots + \theta_{n} = \pi.
\]

Find the maximum value of \(\sin^2 \theta_{1} + \sin^2 \theta_{2} + \cdots + \sin^2 \theta_{n}\).

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