
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
Given a sample of a certain size is drawn from a group of students to analyze their academic performance, where the sum of the frequencies of the first three groups, which do not exceed 80, is 20, and the sum of their frequencies is 0.4, determine the size of the sample drawn.

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