
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
Determine all integers \( x_{1}, x_{2}, \cdots, x_{9}, x_{10} \) such that

\[ 0 < x_{1} < x_{2} < \cdots < x_{9} < x_{10} \text{ and } x_{9} x_{10} \leq 2\left(x_{1} + x_{2} + \cdots + x_{9}\right) \]

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