
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
A wizard is creating a magic ink. He has four different types of magical herbs and six different essences to choose from. However, one particular essence is incompatible with three of the herbs. How many valid combinations can the wizard use to make the magic ink?

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