
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
Several points were marked on a line, and then two additional points were placed between each pair of neighboring points. This procedure was repeated once more with the entire set of points. Could there have been 82 points on the line as a result?

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