
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
To fill a rectangular tank with dimensions $3 \text{ m}$ in length, $50 \text{ cm}$ in width, and $0,36 \text{ m}$ in height, a man uses a cylindrical bucket with a base diameter of $30 \text{ cm}$ and a height of $48 \text{ cm}$ to fetch water from a source. Each time he goes to the source, he fills $4/5$ of the bucket and spills $10\%$ of its content on the way back. Starting with the tank initially empty, how many trips to the source must the man make for the water in the tank to reach $3/4$ of its height?

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