
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
There are 5 people entering the station to take a train through 3 different gates. Each gate can only allow 1 person to pass at a time. It is required that each gate must have at least one person passing through. How many different ways are there for the people to enter the station? (Answer in numerical form)

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