
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
For the numbers $1, \ldots, 1999$, arranged in a circle, we calculate the sum of the products of all sets of 10 consecutive numbers. Find the arrangement of the numbers for which the resulting sum is the largest.

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