
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
Is it possible to color the edges of an $n$-sided prism in 3 colors so that each face contains all 3 colors and at each vertex, edges of different colors meet, if a) $n=1995$; b) $n=1996$?

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