
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
Five sailors landed on an island and by evening gathered a pile of coconuts. They postponed the division of the coconuts until the morning. One of them, waking up at night, gave one coconut to a monkey, then took exactly one-fifth of the remaining coconuts for himself, then went back to sleep. Each of the other sailors did the same thing during the night, unaware of the actions of the others. In the morning, they divided the remaining coconuts equally, and this time no extra coconut was left for the monkey. What could be the smallest number of coconuts in the collected pile?

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