
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 convex polyhedron has 100 edges. Each vertex has been truncated by planes close to the vertices (such that the planes do not intersect each other inside or on the boundary of the polyhedron). Find the following for the resulting polyhedron:

a) The number of vertices;

b) The number of edges.

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