
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
Adrian has  $2n$  cards numbered from  $ 1$  to  $2n$ . He gets rid of  $n$  cards that are consecutively numbered. The sum of the numbers of the remaining papers is  $1615$ . Find all the possible values of  $n$ .

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