
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
The students were fishing. It is known that \( a_{1} \) fishermen caught at least one fish, \( a_{2} \) fishermen caught more than one fish, \( a_{3} \) - more than two fish, and so on, up to \( a_{10} \) - more than nine fish. No one caught more than 10 fish. How many fish did the students catch in total?

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