
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 2 teachers, 3 male students, and 4 female students taking a photo together. How many different standing arrangements are there under the following conditions? (Show the process, and represent the final result with numbers)  
(1) The male students must stand together;  
(2) The female students cannot stand next to each other;  
(3) If the 4 female students have different heights, they must stand from left to right in order from tallest to shortest;  
(4) The teachers cannot stand at the ends, and the male students must stand in the middle.

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