Consider the following Clojure program containing two mystery functions: (defn mysteryi [1] (map number? 1)) (defn mystery2 (11 (map (in [i] (if (seq? 1) (mystery2 i) (number? i))) 1)) Is the above mystery2 function a pure function? Explain why or why not. Any given programming language may be said to be strongly typed or weakly typed. In reality, they lie on a continuum between these two extremes. Where does C sit on this spectrum? Explain your answer. Any given language may be statically typed or dynamically typed. As above, the range of possibilities is really a continuum between these two extremes. Where does Clojure sit on this spectrum? Explain your answer. Explain the purpose of the Optional type