Which of the following statements are true about the peer to peer computing technology we$$ve covered? $($Note that peer to peer computing here refers to peer to peer systems with either centralized coordination or decentralized coordination.$)$

Group of answer choices

$($A$)$ Peer to peer computing does not have infrastructure cost.

$($B$)$ Query originators are kept anonymous by design in peer to peer computing systems with decentralized coordination.

$($C$)$ Large P$2$P overlay networks offer better fault tolerance.

$($D$)$ Peer nodes maintaining larger number of neighbors have higher influence over the network.

$($E$)$ Hierarchical peer to peer overlay network improves the communication efficiency of the overall system.