1.
Let S1,S2S_1, S_2 and S3S_3 be three sets defined as S1={zC:z12}S_1 = \{z \in \mathbb{C} : |z - 1| \le \sqrt{2}\}, S2={zC:Re((1i)z)1}S_2 = \{z \in \mathbb{C} : \mathrm{Re}((1 - i)z) \ge 1\} and S3={zC:Im(z)1}S_3 = \{z \in \mathbb{C} : \mathrm{Im}(z) \le 1\}. Then, the set S1S2S3S_1 \cap S_2 \cap S_3