
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 brewing a rejuvenation elixir. In his formula, he can choose from four different magical herbs and six mystical crystals. However, one of the crystals does not work well with two of the herbs, and another crystal is incompatible with another herb. How many viable combinations of herbs and crystals can the wizard use for his elixir?

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