
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 preparing an invisibility elixir. He can choose from four magical herbs and six mystical crystals to formulate his elixir. However, three specific pairs of a herb and a crystal result in an explosive mixture which should be avoided. Assuming all other combinations are safe, how many different ways can the wizard successfully prepare his elixir?

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