
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
On the ellipse $\frac {x^{2}}{4}+ \frac {y^{2}}{3}=1$, there are $n$ distinct points: $P_1$, $P_2$, …, $P_n$. The right focus of the ellipse is $F$. The sequence $|P_nF|$ forms an arithmetic sequence with a common difference not less than $\frac {1}{100}$. Calculate the maximum value of $n$.

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