
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]


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After the start of the school year, a middle school randomly selected 80 students from the first-year high school students for a family situation survey. After some time, they randomly selected 100 students from the same grade for an academic situation survey and found that 20 students had been selected in the previous survey. Estimate the total number of first-year high school students in this school.

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