
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 the sequence \(\{a_n\}\) be defined as:
\[a_1 = 1, \quad a_{n+1} = a_n + \frac{1}{a_n} \quad (n = 1, 2, \ldots)\]

Find the integer part of \(a_{2019}\).

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