
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
Four pirates divided a loot of 100 coins. It is known that among them, there are exactly two liars (who always lie) and exactly two knights (who always tell the truth).

They said:

First pirate: "We divided the coins equally."

Second pirate: "Everyone has a different amount of coins, but everyone got at least 15 coins."

Third pirate: "Everyone's amount of coins is divisible by 5."

Fourth pirate: "Everyone has a different amount of coins, but everyone got at most 35 coins."

What is the maximum number of coins that one pirate could receive?

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