
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 $20$ units is intended to be filled with non-overlapping equilateral triangles whose side length is $2$ units each, but $10$ of these small triangles are missing from the filling due to damage. Calculate the number of small undamaged triangles needed to fill the remainder of the large triangle.

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