
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
Forty-eight identical toothpicks are used to form a hexagonal grid consisting of small regular hexagon arrangements. If the grid contains not only hexagons but also triangles within its structure, what is the fewest number of toothpicks that could be removed so that no triangles remain?

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