
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
Pirates led by John Silver on Treasure Island found Billy Bones' chest, which contained 40 coins worth 1 ducat each and 40 coins worth 5 ducats each. John Silver has not yet decided how to distribute this money among all the pirates (he does not want to take any for himself). For the maximum number of pirates, any decision he makes to distribute the coins can be carried out (each pirate must receive a whole number of ducats; it is possible that Silver will not give money to some pirates at all). Justify your answer.

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