
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
A round extendable table has a diameter of 1 meter. When extended, a rectangular part sized $1 \mathrm{~m} \times 0.5 \mathrm{~m}$ fits between two semicircular pieces. Are there two points on the tabletop that are more than $150 \mathrm{~cm}$ apart from each other in this extended state?

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