
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
Calculate the arc lengths of the curves given by the parametric equations.

$$
\begin{aligned}
& \left\{\begin{array}{l}
x=e^{t}(\cos t+\sin t) \\
y=e^{t}(\cos t-\sin t)
\end{array}\right. \\
& 0 \leq t \leq \pi
\end{aligned}
$$

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