
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 $\{a\_n\}$ satisfies $a\_1=1$, and for any $m$, $n∈ℕ^∗$, it has $a_{m+n}=a\_m+a\_n+mn$. Find the value of $\frac{1}{a\_1} + \frac{1}{a\_2} + ... + \frac{1}{a\_{2016}}$.

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