
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
The numbers  $1,2,\cdots,2021$  are arranged in a circle. For any  $1 \le i \le 2021$ , if  $i,i+1,i+2$  are three consecutive numbers in some order such that  $i+1$  is not in the middle, then  $i$  is said to be a good number. Indices are taken mod  $2021$ . What is the maximum possible number of good numbers?

*CSJL*

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