Problem: A Gnutella topology looks like a balanced ternary tree with 5 levels of nodes, i.e., peers. Thus, there is 1 root at Level 1, which has 3 children at Level 2, which each have 3 children at Level 3, which in turn each have 3 children at Level 4, which in turn each have 3 children at Level 5 - thus, there are a total of 121 nodes.

If a child of the root (i.e., a Level 2 node) sends a Query message with TTL=5, then what are the number of nodes receiving the Query message, not including the originating node? Enter your answer as a numeric value in the text box below. Please explain your answer and also provide examples