
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 boys and three girls are lining up for a photo. Calculate the number of different arrangements for the following situations:
\\(1)\\) Boy A must stand at either end;
\\(2)\\) Girl B cannot stand to the left of Girl C;
\\(3)\\) Girl B does not stand at either end, and Girl C does not stand in the middle.

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