
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 $a_1$, $a_2$, $a_3$, ..., $a_n$ satisfies the following conditions: $a_1 = 1$, $a_2 = a_1 + 3$, $a_3 = a_2 + 3$, ..., $a_k = a_{k-1} + 3$, ..., $a_n = a_{n-1} + 3$, (where $k = 2, 3, ..., n$). If $a_n = 700$,  
(1) Find the value of $n$.  
(2) Let $N = a_1 \cdot a_2 \cdot a_3 \cdot ... \cdot a_n$, and the number of trailing zeros in $N$ is $m$. Find the value of $m$.

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