
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 fishing cooperative wanted to estimate the number of fish in their lake of a certain species that have reached a certain size. For this purpose, they marked 50 fish of the desired size from their catch one day and released them back into the lake. The next day, they caught fish from three different locations in the lake and counted 67, 94, and 43 fish of the desired size, respectively. Among these, 6, 10, and 3 fish were marked, respectively. Estimate the total number of fish of the desired size in the lake based on the second day's catch.

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