
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
A pirate schooner boarded a merchant ship. Ten pirates did not participate in the fight, and the rest lost either an arm, a leg, or both an arm and a leg in the battle. 54% of the participants in the fight lost an arm, and 34% lost both an arm and a leg. It is known that $\frac{2}{3}$ of all the pirates on the schooner lost a leg. How many pirates were on the schooner?

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