$$A = \left\{ {z:\,{\mathop{\rm Im}\nolimits} \,\,z\,\, \ge \,1} \right\}$$
$$B = \left\{ {z:\,\,\left| {z - 2 - i} \right| = 3} \right\}$$
$$C = \left\{ {z:\,{\mathop{\rm Re}\nolimits} (1 - i)z) = \sqrt 2 \,} \right\}$$
The number of elements in the set $$A \cap B \cap C$$ is