
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
To celebrate New Year's Day, Class 1 and Class 2 of the senior year at a certain school decided to hold New Year's Eve parties in their respective classrooms on December 30th. All 6 teachers were assigned to join the celebrations with the students in these two classes, with each class having no more than 4 teachers. How many different arrangements are there for assigning the teachers to the two classes?  
    A．50 ways        B．70 ways     
C．35 ways        D．55 ways

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