
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
Inside a convex pentagon, a point is marked, and it is connected to all the vertices. What is the maximum number of the ten segments (five sides and five segments connecting the marked point with the vertices of the pentagon) that can have a length of 1?

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