
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
Given an arithmetic sequence $\left\{a_n\right\}$ such that all terms are integers, the first term $a_1=2019$, and for any positive integer $n$, there always exists a positive integer $m$ such that $a_1 + a_2 + \cdots + a_n = a_n$. Determine the number of such sequences $\left\{a_n\right\}$.

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