Question 140
How many ordered pairs of integers $(a, b)$ satisfy all of the following inequalities?
$$
\begin{aligned}
a^{2}+b^{2} & \lt 16 \\
a^{2}+b^{2} & \lt 8a \\
a^{2}+b^{2} & \lt 8b
\end{aligned}
$$
$$
\begin{aligned}
a^{2}+b^{2} & \lt 16 \\
a^{2}+b^{2} & \lt 8a \\
a^{2}+b^{2} & \lt 8b
\end{aligned}
$$