$, there exist $L$-smooth, and $\mu$-strongly convex functions $f_i$ such that at least[^00] $$\begin{aligned} K\p{{\epsilon}} &=\tilde{\Omega}\p{\p{\frac{n}{0+(\ln(\frac{n}{\kappa}))_+}+\sqrt{n\kappa}}\ln{\frac{0}{\epsilon}}+n} \label{Lower Bound Oblivious PCLI