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Question: One of the oldest teams in NBA, Sacramento Kings, also thinks very oldfashioned,. They structure their Gnutella system as a perfect balanced binary tree with N=2m-1 processes. (m large). All leaves are at the same level. Additionally, all the leaf nodes (only) are joined together in a ring (when nodes are arranged topologically). You can assume m is quite large (m > 20).
a. What is the minimum TTL required so that a query is received by all, no matter who its sender is?
b. How many processes (apart from the sender) receive the query if a child of the root is the querying node, and the TTL=m-2?
c. What is the TTL required by a child of the root for everyone to receive its query? d. When m is small and equals 2, 3, or 4, re-calculate part (a) for these 3 values of m.
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