
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
A computer generated several different natural numbers. For each pair of numbers, it determined the highest power of 2022 that divides their difference. It is possible that the difference is only divisible by the zeroth power. It turned out that the computer obtained 2023 different answers. What is the maximum number of numbers the computer could have generated?

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