# Do any single-cell organisms exist that approximate NP-hard problems within a factor better than $1/2$ $log$2?

I've seen on Wikipedia; that set covering cannot be approximated in polynomial time to within a factor mentioned above. Unless $$NP$$ has quasipoly-time algorithms.

Now, this must pertain to classical algorithms and does not mention any approximation algorithms that may only work in nature.

(eg. Things like Amoebas solving $$TSP$$ problems)

• Do any single-cell organisms show any promise in solving $$NP$$-hard problems in polynomial-time?

• Or approximating them better than any known classical algorithms?

• Why does a $2^n$ algorithm matters if I have a non-classical computer that has a $2$^$1-trillion$ exponential speedup to solve $SAT$ instances with 1-trillion+ variables in seconds? – Dingle Berry Jun 30 '20 at 22:38