$[2+2+1=5$ points$]$a$)$ Analyze the height of a skip list.$$b$)$ Starting with an empty skip list insert the following keys, with the given Head$($H$)$ and$$Tail$($T$)$ information.$16,$ with HT;$17,$ with T;$$ITCS $6114/8114$Algorithm & Data Structures$$Dewan T$.$ Ahmed. Ph$.$D$.6,$ with HHHT;$27,$ with HHT;$12,$ with T;$34,$ with HHT;$23,$ with HT$$c$)$ Later search key $27$ and $25$ in the constructed skip list and write down the path.