
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

In a sequence of numbers \(1, 4, 7, 10, \cdots, 697, 700\), the first number is 1, and each subsequent number is equal to the previous number plus 3, until 700. Calculate the number of trailing zeroes in the product of all these numbers. For example, the number of trailing zeroes in 12003000 is 3.

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