Consider the ISP network composed of $5$ routers $($A$,$ B$,$ C$,$ D$,$ E$)$ depicted in the Figure below. Three of these routers, A$,$ E and D$,$ are connected to routers located in neighboring ASes via eBGP. These neighboring routers are indicated by X$,$ Y and Z$.$ Each of them advertises the same three distinct IP prefixes p$1,$ p$2$ and p$3.$ The three tables in the Figure indicate the Local$-$Preference $($LP$)$ associated to each external prefix by A$,$ E and D along with their corresponding AS$-$PATH length. For instance, D learns a route to p$1$ from X with an AS$-$PATH length of $10$ to which it associates a LP of $200.$ Internally, the ISP uses an iBGP full$-$mesh to distribute the BGP routes and OSPF as intra$-$domain routing protocol. The weight of each internal link is indicated next to it$.$