
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 $[x]$ denote the maximum integer not exceeding $x$, for example, $[-3.14]=-4$, $[3.14]=3$. Given the sequence ${a_n}$ satisfying: $a_1=1$, $a_{n+1}=a_n+n+1$ ($n\in\mathbb{N}^*$), calculate the value of $\left\lfloor \frac{1}{a_1}+\frac{1}{a_2}+...+\frac{1}{a_{2018}}\right\rfloor$.

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