
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
Raindrops fall vertically at a speed of 2 m/s. The mass of one drop is 5 mg. There are 400 drops in one cubic meter of air. In what time will a cylindrical vessel with a height of 20 cm and a base area of 10 cm$^{2}$ be completely filled with water? The density of water is $\rho_{B}=1000 \text{ kg/m}^{3}$.

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