
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
The sequence $\{a_{n}\}$ satisfies $a_{1}=\frac{4}{3}$, ${a_{n+1}}={a_n}^2-{a_n}+1$ ($n\in{N^*}$). Find the integer part of $\frac{1}{a_1}+\frac{1}{a_2}+…+\frac{1}{{{a_{2017}}}}$.

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