
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
$a_{1}, a_{2}, a_{3}, \cdots, a_{n}$ are natural numbers satisfying $0<a_{1}<a_{2}<a_{3} \cdots<a_{n}$, and $\frac{13}{14}=\frac{1}{a_{1}} + \frac{1}{a_{2}} + \frac{1}{a_{3}}+\cdots +\frac{1}{a_{n}}$. What is the minimum value of $n$?

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