
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
Toner Drum and Celery Hilton are both running for president. A total of  $2015$  people cast their vote, giving  $60\%$  to Toner Drum. Let  $N$  be the number of "representative'' sets of the  $2015$  voters that could have been polled to correctly predict the winner of the election (i.e. more people in the set voted for Drum than Hilton). Compute the remainder when  $N$  is divided by  $2017$ .

*Proposed by Ashwin Sah*

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