One Root

For a fixed $n$ and integers $p$ and $q$ such that $|p| \le m$ and $|q| \le m$, how many equations of the form

$x^n + px + q = 0$ have exactly one real root?

The only line of input contains two integers $n$ and $m$ ($1 \le n, m \le 10^6$, $n \ge 2$).

Print a single integer: the number of equations having exactly one real root.