$6)[12$ points$]$ Consider the network shown below. Suppose AS$3$ and AS$2$ are running OSPF for their intra$-$AS routing protocol. Suppose AS$1$ and AS$4$ are running RIP for their intra$-$AS routing protocol. Suppose eBGP and iBGP are used for the inter$-$AS routing protocol. Initially suppose there is no physical link between AS$2$ and AS$4.$

$($a$)$ Router $3$c learns about prefix $\backslash ($ x $\backslash )$ from which routing protocol: OSPF, RIP, eBGP, or iBGP? $(2$ points$)$

$($b$)$ Router $3$a learns about x from which routing protocol? $(2$ points$)$

$($c$)$ Router $1$ c learns about x from which routing protocol? $(2$ points$)$

$($d$)$ Router $1$ d learns about x from which routing protocol? $(2$ points$)$

$($e$)$ Once router $1$ d learns about $\backslash ($ x $\backslash )$ it will put an entry $(\backslash ($ x$,\backslash$mathrm$\{$I$\}\backslash ))$ in its forwarding table. Will I be equal to $\backslash ($ I$\_\{1\}\backslash )$ or $\backslash (\backslash$mathrm$\{$I$\}\_\{2\}\backslash )$ for this entry? Explain why in one sentence. $(2$ points$)$

$($f$)$ Suppose that there is a physical link between AS$2$ and AS$4,$ shown by the dotted line. Suppose router $1$d learns that $\backslash ($ x $\backslash )$ is accessible via AS$2$ as well as via AS$3.$ Suppose hot potato routing is used. What is the answer of question $5?$ Explain why in one sentence. $(2$ points$)$