
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 log with a nail in the middle was left in the bed of a truck. As the truck moves, the log freely rolls around and scratches the bottom. What part of the truck bed could potentially be damaged? The dimensions of the truck bed are $3 \times 2$ meters, and the length of the log is 2 meters.

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