
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
Two classes are assigned $2$ programs each, and the other two classes are assigned $1$ program each. Find the number of different ways to allocate the 6 different programs for a total of 6 programs to be assigned to prepare for the 7th, 8th, 9th, and 12th grades of the first year.

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