
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
Given that there are four teachers available (A, B, C, and D), with teachers A and B able to teach up to two classes and teachers C and D able to teach up to one class, determine the total number of different teaching arrangements for two periods with exactly two teachers in each period.

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