
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
What is the greatest number of points of self-intersection that a closed 14-segment polygonal chain can have, which lies on the lines of graph paper such that no segment lies on the same line as another segment?

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