
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
Three people, A, B, and C, went fishing together. They put the fish they catch into a basket and then laid down to rest, eventually falling asleep. A woke up first and divided the fish in the basket into 3 equal parts, finding 1 fish left over. He threw the extra fish back into the river, took one of the parts, and went home. B woke up next and divided the remaining fish into 3 equal parts, also finding 1 fish left over. He threw the extra fish back into the river, took one of the parts, and went home. Finally, C woke up and divided the fish in the basket into 3 equal parts, again finding 1 fish left over. These three people caught at least $\qquad$ fish.

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