
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 regular triangular prism is given with a base edge of length $3.2 \mathrm{~cm}$ and a height of $5 \mathrm{~cm}$. Its lateral surface is wrapped with a checkerboard film that consists of opaque and transparent square cells with sides of length $1 \mathrm{~cm}$. The starting edge of the film aligns with an edge of the prism, and the length of the film is just enough to wrap the entire lateral surface twice.

What percentage of the prism's lateral surface will be visible through the film after wrapping? Ignore the thickness of the film.

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