Note that when node 7 produces a tuple that joins with the static table, three transmissions result; this is the same as if the original data was sent up the routing tree in the naïve or single-node case. In the worst case, there would have been two extra tuples: if node 5 produced a tuple which joined with a tuple on node 7 a total of 4 transmis- sions would have been performed. In general, no more than 2 + depth transmissions will be required, as any pair of nodes in the same group differ by no more.
