Question 33
Find the largest possible positive integer $n$, so that there exist $n$ distinct positive real numbers $x_1, x_2, \dots, x_n$ satisfying the following inequality: for any $1 \le i, j \le n$ with $i \ne j$,
$$
(3x_i - x_j)(x_i - 3x_j) \ge (1 - x_ix_j)^2.
$$
$$
(3x_i - x_j)(x_i - 3x_j) \ge (1 - x_ix_j)^2.
$$