
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
For a special event, the local football club announced the following giveaways for fans entering the stadium:

Every 45th fan who entered the stadium received a free scarf.

Every 36th fan who entered the stadium received a free ticket for a future game.

Every 60th fan who entered the stadium received a free team poster.

The stadium was able to seat 4800 fans and was full on the day of the event. Determine how many fans received all three items.

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