
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
On a circle with a radius of 1, mark a point \( O \) and use a compass to make a mark to the right with a radius of \( l \). From the obtained point \( O_{1} \), make a second mark in the same direction with the same radius, and continue this process 1968 times. After this, the circle is cut at all 1968 marks, resulting in 1968 arcs. How many different lengths of arcs can be obtained in this way?

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