
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
A school building has two main entrances and two side entrances. Under normal circumstances, the number of people passing through each of the two main entrances per unit of time is the same, and the number of people passing through each of the two side entrances per unit of time is also the same. When one main entrance and two side entrances are open, 560 students can pass through in 2 minutes. When one main entrance and one side entrance are open, 800 students can pass through in 4 minutes. The school building has 32 classrooms, and if each classroom is considered to have 54 students, how long will it take for all students to pass through if two main entrances and one side entrance are open?

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