
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 straight line, there are \(2n\) points, and the distance between any two adjacent points is 1. A person starts from the 1st point and jumps to other points, jumping \(2n\) times and returning to the 1st point. During these \(2n\) jumps, the person must visit all \(2n\) points. How should they jump to maximize the total distance jumped?

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