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 leaf $($Level $5)$ node sends a Query message with TTL$=2,$ then what are the number of nodes receiving this message, not including the originating node? Enter your answer as a numeric value in the text box below