
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 with a side length of 20 cm is to be completely covered by non-overlapping equilateral triangles of side length 2 cm. Determine the number of smaller triangles needed if each row of small triangles is rotated by 180 degrees relative to the row immediately below it.

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