Division with remainder

You are given two integers $a$ and $b$ ($b \ne 0$). Find integers $q$ (quotient) and $r$ (remainder) such that

$a = b \cdot q + r, \qquad 0 \le r < |b|$

that is, the remainder is always non-negative, whatever the signs of $a$ and $b$.

A single line with two integers $a$ and $b$ ($|a|, |b| \le 10^9$, $b\mathrm{\ne }$).

A single line with two integers: $q$ and $r$.

In the second example $-7 = 3 \cdot (-3) + 2$, so $q = -3$ and $r = 2$.