
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
There are 2016 points arranged on a circle. We are allowed to jump 2 or 3 points clockwise at will.

How many jumps must we make at least to reach all the points and return to the starting point again?

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