
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 4 male students and 3 female students standing in a row for a photo. Calculate how many different arrangements are possible for the following situations:  
(1) Male student A must stand at one of the ends;  
(2) The two female students B and C cannot stand next to each other;  
(3) Female student B cannot stand at the ends, and female student C cannot stand in the exact middle.

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