
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
30 pikes were released into a pond with crucian carps, and the pikes began gradually eating each other. A pike is considered full if it has eaten three other pikes (hungry or full), and for dessert, each full pike ate exactly one crucian carp (hungry pikes did not eat crucian carps). What is the maximum number of crucian carps that could have been eaten? Justify your answer.

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