
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
The segment of a line with endpoints at points \( A(3, 2) \) and \( B(12, 8) \) is divided into three equal parts. Determine the coordinates of the division points and the length of the segment \(\overline{A B}\).

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