BALKAN-SL 2009 A1

Let $N \in \mathbb{N}$ and $x_k \in [-1,1]$ , $1 \le k \le N$ such that $\sum_{k=1}^N x_k =s$ . Find all possible values of $\sum_{k=1}^N |x_k|$

Dataset text AI-MO AoPS. Quoted with source.

Solutions

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