
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
Determine the years of our century whose digits exhibit the following property. Subtract the first digit from the second, the second from the third, and the third from the fourth, and let these three differences form an arithmetic sequence.

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