
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
In a $2015 \times n$ table, non-negative numbers are arranged so that in each row and each column there is at least one positive number. It is known that if a cell contains a positive number, then the sum of all numbers in the same column equals the sum of all numbers in the same row. For which $n$ is this possible?

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