
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
2017 numbers are written. It is known that the sum of the squares of any 7 of them is 7, the sum of any 11 of them is positive, and the sum of all 2017 numbers is divisible by 9. Find these numbers.

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