
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]


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Given an equilateral triangle with side length 10, it is divided by lines parallel to its sides into several equilateral triangles with side length 1. There are \( m \) equilateral triangles with side length 2 and \( 25 - m \) parallelograms.
(1) If \( m = 10 \), can these shapes be used to form the original triangle?
(2) Find all values of \( m \) for which these shapes can be used to form the original triangle.

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