
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
From a single point on a circular track, a pedestrian and a cyclist start simultaneously in the same direction. The speed of the cyclist is 55% greater than the speed of the pedestrian, and therefore the cyclist periodically overtakes the pedestrian. At how many different points on the track will the overtakes occur?

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