
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
Petrov writes down the odd numbers: $1, 3, 5, \ldots, 2013$, and Vasechkin writes down the even numbers: $2, 4, \ldots, 2012$. Each of them calculates the sum of all digits of all their numbers and tells the result to their classmate Masha. Masha subtracts Vasechkin's result from Petrov's result. What is the final result?

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