
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
If one ticket gate is opened, it will take 30 minutes to complete the ticket checking for all the passengers waiting in line; if two ticket gates are opened, it will take 10 minutes to complete the ticket checking for all the passengers waiting in line, determine the minimum number of ticket gates that need to be opened simultaneously to complete the ticket checking for all the passengers waiting in line within 5 minutes.

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