
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
In this century, the 200th anniversary of the birth of the famous Russian mathematician, a native of the Kaluga province, P.L. Chebyshev, will be celebrated. In the year of his birth, the sum of the digits in the hundreds and thousands place is 3 times the sum of the digits in the tens and units place, and the digit in the tens place is greater than the digit in the units place. Determine the year of birth of P.L. Chebyshev, given that he was born and died in the same century and lived for 73 years.

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