
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
The distance from the Capital to city O is 2020 kilometers. Kilometer markers are placed along the road. On the first marker, the numbers 1 and 2019 are written on the front and back sides, respectively; on the second marker, the numbers 2 and 2018 are written, and so on, with the final marker bearing the numbers 2019 and 1. A marker is called "good" if the two numbers written on it have a common divisor greater than 1; otherwise, it is "bad." How many "bad" markers are there along this road?

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