
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
In a mathematics competition, 31.66% of the participants were girls. 3.41% of the girls reached the final round. A total of 41 participants received awards. The number of awarded girls constituted 4.8% of the girls who reached the final, while the number of awarded boys was 1% of all participants (boys and girls together) in the first round. How many students participated in the competition in total?

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