
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 number 25 is expressed as the sum of positive integers \(x_{1}, x_{2}, \cdots, x_{k}\), where \(k \leq 25\). What is the maximum value of the product of \(x_{1}, x_{2}, x_{3}, \cdots\), and \(x_{k}\)?

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