
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
Let \( m \) be any positive integer not less than 3.
1. Given a circle and a set \( V_m \) of \( m \) equally spaced points on the circle. Consider the non-congruent triangles formed by the points in \( V_m \) as vertices. How many such non-congruent triangles are there?
2. How many ways are there to divide \( m \) identical items into 3 groups (considering the order of the groups)?

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