
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 the 2014 Zhengzhou Mock Test, if 6 teachers are to be assigned to 3 different middle schools, with one school receiving 1 teacher, another receiving 2 teachers, and the last receiving 3 teachers, then there are \_\_\_\_\_\_\_ different ways to distribute them.

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