
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
All natural numbers are divided into "good" and "bad" based on the following rules:

a) From any "bad" number, you can subtract some natural number that does not exceed half of it in such a way that the resulting difference becomes "good".

b) From a "good" number, you cannot subtract any number that does not exceed half of it in such a way that it remains "good".

It is known that the number 1 is "good". Find the closest "good" number to 2015.

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