
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 of radius 1, a point $O$ is marked and from it, using a compass, a mark is made to the right with radius $l$. From the resulting point $O_{1}$, in the same direction, another mark is made with the same radius, and this process is repeated 1968 times. After this, the circle is cut at all 1968 marks, resulting in 1968 arcs. How many different arc lengths can be obtained in this process?

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