
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
The numbers \(1, 2, 3, \ldots, 2014, 2015\) are written in a row. We will call a number from this row "good" if, after its removal, the sum of all the remaining 2014 numbers is exactly divisible by 2016. Find all the good numbers.

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