
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 triangular prism has 5 faces, 9 edges, and 6 vertices. One pyramid is attached to one of its triangular faces, and another pyramid is attached to one of its quadrilateral faces. After adding these pyramids, calculate the number of faces, vertices, and edges of the resulting solid. Add these three numbers to find out what their sum is.

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