
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 sequence of numbers \(1, 4, 7, 10, \cdots, 697, 700\) follows the pattern: The first number is 1, each subsequent number is equal to the previous number plus 3, up to 700. Multiply all these numbers together, and find the number of trailing zeros in the resulting product. (For example, the number of trailing zeros in 12003000 is 3).

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