# The chalkboard hadn't been cleaned. (Corrected once.)

What is the minimum value of $q$ such that there are always three elements $x_m$, $x_n$, $x_p$ of the set $\mathbb A = \{x_1, x_2, \cdots, x_{q - 1}, x_q\} \in \{1; 2; \cdots; 1233; 1234\}$ such that $x_n^2 - 2x_px_m < x_p^2 + x_m^2 < x_n^2 + 2x_px_m$ (with every possible combination of the set $\mathbb A$)?

×

Problem Loading...

Note Loading...

Set Loading...