
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
Four male students and three female students are standing in a row.
(1) Male student A must stand in the exact middle. How many different arrangements are there?
(2) The three female students must stand together. How many different arrangements are there?
(3) No two female students can stand next to each other. How many different arrangements are there?
(4) There must be three people between male students A and B. How many different arrangements are there?

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