Question 17
Find the largest constant $C \gt 0$, such that for any integer $n \ge 2$, one can find real numbers $x_1, x_2, \dots, x_n \in [-1, 1]$ satisfying
$$
\prod_{1 \le i \lt j \le n} (x_i - x_j) \ge C^{\frac{n(n-1)}{2}}.
$$
$$
\prod_{1 \le i \lt j \le n} (x_i - x_j) \ge C^{\frac{n(n-1)}{2}}.
$$