
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
What is the sum of 1000 numbers arranged in a row, such that any three consecutive numbers satisfy the condition that the middle number is equal to the sum of the numbers before and after it?

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