
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 numbers written on a board from 1 to 2021. Denis wants to choose 1010 of them so that the sum of any two selected numbers is not equal to 2021 or 2022. How many ways are there to do this?

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