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Suppose we have a hierarchical DCN design as shown in the figure below. Each rack has 2 0 hosts and we need high throughput connections

Suppose we have a hierarchical DCN design as shown in the figure below. Each rack has 20 hosts and we need high throughput connections on all flows from hosts i=1,...,20 in each of racks 1,2,3,4 to hosts i=1,..,20 in each of racks 5,6,7, and 8 respectively. Each host is connected to the TOR with a 1Gbps link, and the connections from TORs to Tier-2 and Tier-2 to Tier-1 switches are 20Gbps. Using this architecture:
(a) What is the end-to-end throughput for a host i in rack 1 to the corresponding host i in rack 5 in the architecture below? Please explain your answer.

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