
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
In 2014, Jian City Education Bureau implemented a "Support Teaching" activity. A certain county-level middle school sent 3 mathematics teachers and 6 Chinese language teachers to 3 township-level middle schools to conduct the support teaching activity. Each township-level middle school was assigned 1 mathematics teacher and 2 Chinese language teachers. Calculate the total number of different distribution schemes.

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