
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
Six geologists, named A, B, C, D, E, and F, are to be assigned to four different high schools, A, B, C, and D, with each high school having at least one geologist. Calculate the total number of different ways to make the assignments.

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