Let $S = 2010 + 2011 + \cdots + 4018$. Compute the residue of $S$, modulo 2009.
Question:
Let $S = 2010 + 2011 + \cdots + 4018$. Compute the residue of $S$, modulo 2009.
Answer:
Let's think step by step.

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Let $S = 2010 + 2011 + \cdots + 4018$. Compute the residue of $S$, modulo 2009.
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