
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
Let \(e, f, g, h, i\) be real numbers such that
\[ e^4 + f^4 + g^4 + h^4 + i^4 = 5. \]
Find the maximum value of \( e^3 + f^3 + g^3 + h^3 + i^3. \)

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