Consider the scenario below where $4$ TCP senders are connected to $4$ receivers. Senders transmit to the receiving hosts at the fastest rate possible $($i$.$e$.,$ at the rate at which the bottleneck link between a server and its destination is operating at $100\%$ utilization, and is fairly shared among the connections passing through that link$).$ R $=1$ Gbps and aga, hat is the minimum value of Re that will ensure that the connections to Host$-1$ and Host$-2$ are not bottlenecked at links with capacity Rc or Re$?$