
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 large equilateral triangle has a side length of 12 units. Inside it, non-overlapping regular hexagons of side length 1 unit are used to fill as much area as possible. How many hexagons can be perfectly fit within the triangle?
A) 12
B) 18
C) 24
D) 30
E) 36

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