
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
Select 3 teachers from 4 male teachers and 3 female teachers to be sent to three suburban schools for support teaching, one person per school, requiring that among these three teachers, there must be both male and female teachers. The number of different selection and assignment schemes is $\boxed{\text{number}}$ (answer in digits).

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