
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
A sequence of numbers \( x_1, x_2, x_3, \ldots \) is defined by the rule: \( x_1 = 1 \), \( x_{n+1} = 1 + \frac{x_n^2}{n} \) for \( n = 1, 2, 3, \ldots \). Find \( x_{2019} \).

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