Let $n>1$ be a positive integer.
(i) Does there exist a map $f: S^{2 n} \rightarrow \mathbb{C P}^n$ with $\operatorname{deg}(f) \neq 0$ ? Construct an example or disprove it.
(ii) Does there exist a map $f: \mathbb{C P}^n \rightarrow S^{2 n}$ with $\operatorname{deg}(f) \neq 0$ ? Construct an example or disprove it.