
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
We write 2017 as the sum of certain positive integers (for example, $2017=$ $1008+1009$ or $2017=458+776+793$). Then we multiply these integers. What is the largest product that we can obtain?

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