I laughed out loud at the n lg n ^ (1 - 2^{-182}). It is so funny.
Wowzers!
This also reaffirms my (wishful) thinking that if there’s a way to do FTL communication it’ll be something with an absurdly tiny factor like 2^-182 with a slight asymmetry in a probability somewhere.
Then you’re not violating FTL, just gaining a very slight chance that you might know something FTL – probably.
2^-182 is very funny but it's bigger than 0 and that's going to shatter a lot of people's conjectures.