
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
Given a number line where unit length is 1 centimeter, and a line segment AB of length 2009 centimeters is randomly drawn on this number line, calculate the number of lattice points covered by line segment AB.

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